A parking meter charges 5 cents per minute and 25 cents fee to use the meter. What is the maximum number of minutes, x, that a person can receive who spends no more than $5.00?

Answers

Answer 1

The maximum number of minutes that a person  who spends no more than $5.00 can receive is 95 minutes

How to determine the maximum number of minutes?

A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation

Given that:

A parking meter charges 5 cents per minute and  25 cents fee to use the meter.

A person spends no more than $5.00 and the number of minutes, x

We can write:

0.05x + 0.25 ≤ 5

Solve for x:

0.05x ≤ 5-0.25

0.05x  ≤ 4.75

x ≤ 4.75/0.05

x ≤ 95

Thus, the maximum number of minutes is 95 minutes

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Related Questions

A quadratic function y=f(x)is plotted on a graph and the vertex of the resulting parabola is (-6, 5). What is the vertex of the function defined as g(x)=f(x-3)?

Answers

Answer:

The answer is (-9, 5). Hope this helps.

Please help meee asap please !!????

Answers

The fraction of a box that can be filled with the leftover textbooks is 10.

What is a fraction?

A fraction is a number that represents a part of a whole or a part of a collection. It is written in the form a/b, where a is called the numerator and b is called the denominator.

To find the fraction of a box that can be filled with the leftover textbooks, we need to first find the total number of textbooks that are leftover. We can do this by subtracting the number of fourth-grade textbooks and the number of fifth-grade textbooks from the total number of textbooks that can fit in a box:

Leftover textbooks = (28 textbooks/box) - (125 textbooks) - (191 textbooks)

= 28 textbooks - 125 textbooks - 191 textbooks

= -288 textbooks

Since there are -288 leftover textbooks, we can fill -288/-28 =-288/-28=10 boxes with the leftover textbooks.

Hence, the fraction of a box that can be filled with the leftover textbooks is therefore 10/1 = 10.

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The fraction of a box that can be filled with leftover textbooks is 125/7

What is the fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

To find the fraction of a box that can be filled with leftover textbooks,

we need to first determine the total number of textbooks that will fit in a box.

Since a box can hold 28 textbooks, and the school has bought 125 Fourth Grade math textbooks and fifth-grade math textbooks,

the total number of textbooks the school has is 125 + 125 = 250 textbooks.

To find the fraction of a box that can be filled with leftover textbooks,

we can divide the total number of leftover textbooks by the total number of textbooks that fit in a box.

Since there are 250 leftover textbooks and a box can hold 28 textbooks, the fraction of a box that can be filled with leftover textbooks is 250/28.

Simplifying this fraction, we get:

250/28 = (250/14)/(28/14) = (250/14)/2 = 125/7

Therefore, the fraction of a box that can be filled with leftover textbooks is 125/7.

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1. Given a mean of 165 and a standard deviation of 4, use the empirical rule to answer the following questions: a. What percent is less than 161? b. What percent is more than 173? c. What percent is between 157 and 169? d. What is the 84 th percentile?

Answers

Using a mean and standard deviation as inputs, the following formula can be used to get the percentile of a normal distribution:

Percentile Value is equal to z +.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.

While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.

The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation.

Standard deviation may be written as SD.

A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.

Though in algebra, it is simpler

According to our question-

a. 157 is less then 161

b. n>173, n be a real number.

Hence, Using a mean and standard deviation as inputs, the following formula can be used to get the percentile of a normal distribution: Percentile Value is equal to z +.

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PLEASE HELP URGENT WITH 4 AND 6

Answers

The solution is

a) The compound interest for the second period is $ 2.01 and the amount after the second period is $ 404.01

b) The compound interest for the first period is $ 114.125 and the amount is $ 18,374.125

The compound interest for the second period is $ 114.83828125 and the amount after second period is $ 18,488.96

What is Compound Interest?

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

a)

Let the principal be P = amount after first period =  $ 402

Now , the rate of interest r = 6 %

The compound interest is calculated by compounding monthly

Now , the interest for the second period = ( PRT / 100 x 12 )

Substituting the values in the equation , we get

The interest for the second period = ( 402 x 6 x 1 ) / 1200

The interest for the second period = $ 2.01

The amount after the second period = amount after first period +  interest for the second period

The amount after the second period = 402 + 2.01

The amount after the second period = $ 404.01

b)

Let the principal be P = $ 18260

The rate of interest r = 2.5 %

The compound interest is calculated by compounding quarterly

Now , the interest for the first period = ( PRT / 4 x 100 )

Substituting the values in the equation , we get

The interest for the first period = ( 18260 x 2.5 ) / 400

The interest for the first period = 45650 / 400

The interest for the first period = $ 114.125

The amount for the first period = 18260 + 114.125

The amount for the first period = $ 18,374.125

Now , the principal for the second period = interest + amount of first period

The principal for the second period = $ 18,374.125

The rate of interest = 2.5 %

The interest for the second period = ( PRT / 4 x 100 )

Substituting the values in the equation , we get

The interest for the second period = ( 18374.125 x 2.5 ) / 400

The interest for the second period = 45935.3125 / 400

The interest for the second period = $ 114.83828125

The amount for the second period = 18,374.125+ 114.84

The amount for the second period = $ 18,488.96

Hence , the amount and interest is calculated

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Which number line shows the solutions to n > -2?
++++
+
-6-5-4-3-2-1 0 1 2 3 4 5 6
←++++
H
-6-5-4-3 -2 -1 0 1 2 3 4 5 6
+++
++++++
-6-5-4-3-2-1 0 1 2 3 4 5 6
+++++
-6-5-4-3-2-1 0 1 2
3 14 5 6
Done -
2

Answers

2888483829291929293983 298383

PLEASE EXPLAIN WHY YOU GOT YOUR ANSWER PLEASEE!!!!
When Skip was a puppy, he weighed 5.6 lbs. When he visited the vet, he weighed 13.3 lbs. How much weight did Skip gain between the time he was a puppy and his vet visit?

Answers

Answer:

7.7

Step-by-step explanation:

I got this by subtracting 13.3 - 5.6

What number does B stand for
What number does C stand for

Answers

Answer:

B=20

C = 40  

These are the answers

Solve for y. Find m∠ C and m∠ D. Show all work.

Answers

The value of y is 10. The measure m∠ C and m∠ D are 40° and 76° respectively.

What is external angle?

The angle created when a transversal cuts one of two lines and is located outside of the line. It describes the angle between a side of a polygon and an expanded adjacent side.

The measure of an external angle of a triangle is equal to the sum of opposite interior angles.

∠DEF is an exterior angle. The opposite interior angles of ∠DEF are m∠ C and m∠ D

Therefore,

m∠ C + m∠ D = ∠DEF

4y° + (7y + 6)° = 116°

Add like terms

11y + 6 = 116

Subtract 6 from both sides:

11y = 110

Divide both sides by 11:

y = 10

Putting y = 10 in  m∠ C = 4y° and m∠ D =  (7y + 6)°

m∠ C = 40°

m∠ D = 76°

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49: 1 of 1 question 2 with 1 blank 97: 1 of 1 question 3 with 1 blank 113: 1 of 1 question 4 with 1 blank 632: 1 of 1 question 5 with 1 blank 1.781: 1 of 1 question 6 with 1 blank 3.558: 1 of 1 question 7 with 1 blank 1.006.015: 1 of 1 question 8 with 1 blank 67.224.370: 1 of 1 3

Answers

Spanish is a Romance language of the Indo-European language family that emerged from the Iberian peninsula's colloquial Latin. It is now a worldwide language with around 500 million native speakers, primarily in the Americas and Spain. Twenty nations have Spanish as their official language.

These numbers in Spanish are:

1. 49: cuarenta y nueve

2. 97: noventa y siete

3. 113: ciento trece

4. 632: seiscientos treinta y dos

5. 1.781: mil setecientos ochenta y uno

6. 3.558: tres mil quinientos cincuenta y ocho

7. 1.006.015: un millon seis mil quince

8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta

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Answer:

49: cuarenta y nueve

2. 97: noventa y siete

3. 113: ciento trece

4. 632: seiscientos treinta y dos

5. 1.781: mil setecientos ochenta y uno

6. 3.558: tres mil quinientos cincuenta y ocho

7. 1.006.015: un millon seis mil quince

8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta

Step-by-step explanation:

Trent and his family are heading to Perfect Putt Mini-Golf. They plan to purchase the group package. With the package, the cost per person is $3 less than the normal cost for an individual. There are 6 people in Trent's family. His mom called ahead and found that the total cost for the family will be $30.
Which equation can you use to find the normal cost, x, for an individual?

3x-6=30
6(x-3)=30
6x-3=30
3(x-6)=30

Answers

ANSWER:

6(x-3)=30

EXPLANATION:

I did the math and I’m really good at math.

Please help!!! I need this!!
A triangle has vertices (0,0), (2,4), and (5,1). What are the coordinates of the circumcenter?, or the same triangle with vertices (0,0), (2,4), and (5,1), what are the coordinates of the orthocenter?

and could I have steps please?

Answers

Answer:

The circumcenter of the triangle with vertices (0,0), (2,4), and (5,1) is located at (3,2).

To find the circumcenter, use the formula:

Cx = (x1 + x2 + x3)/3

Cy = (y1 + y2 + y3)/3

In this case, Cx = (0 + 2 + 5)/3 = 3

Cy = (0 + 4 + 1)/3 = 2

Therefore, the circumcenter of the triangle is located at (3,2).

The orthocenter of the triangle with vertices (0,0), (2,4), and (5,1) is located at (2.5, 2.5).

To find the orthocenter, use the following equation:

Hx = (x1 + x2 + x3)/3

Hy = (y1 + y2 + y3)/3

In this case, Hx = (0 + 2 + 5)/3 = 2.5

Hy = (0 + 4 + 1)/3 = 2.5

Therefore, the orthocenter of the triangle is located at (2.5, 2.5).

Step-by-step explanation:

Determine whether the relation is a function. (0,-3) (1,0) (2,3) (2,2) (3,1)

Answers

Answer:

function

Step-by-step explanation:

I did this math before

Answer:

this relation is a function

what is the equation for a cosecant function with vertical asymptotes found at x equals pi over 4 plus pi over 4 times n comma such that n is an integer?

Answers

The answer is that the the equation for a cosecant function with vertical asymptotes found at x equals pi over 4 plus pi over 4 times n comma such that n is an integer is 2 coscec 4x.

Cosecant is one of the trigonometric ratios . It is calculated as the ratio of the hypotenuse to the perpendicular of a right triangle. It is also calculated as the reciprocal of the sine function.

Now, here if the vertical asymptotes is x = pi/4 + pi/4 (n).

This is not defined when n=0.

so, when x= pi/4,

sin 4x = sin x = 0

which means w =0 .

and we get the equation for cosecant function  to be f(x)= 2 cosec 4x since cosec x = 1/ sin x.

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-8x - 5(-5x - 1) - 7 = 3(x − 3)

Answers

Answer:

-8x+25x+5-7=3x-9

or ,17x -2=-9+2

or, -14x=-7

or, x=-7/-14

x=1/2

Answer:

-8x +25x +5-7=3x-9

17x-2 = 3x-9

17x-3x=9+2

14x =11

x= 14/11

This graph shows all the key characteristics of a particular polynomial function. Drag tiles to complete the function rule that could be represented by the graph

Answers

The function rule that could be represented by the graph is given as follows:

y = 2x³ + x - 3.

How to define the function?

The first step in defining the function is looking at it's y-intercept, which is the value of y when the graph of the function crosses the y-axis.

This value is of -3, hence the function can be defined as follows:

f(x) = ax^n + x - 3.

Then we look at the behavior of the function. It has an inflection point, as it is concave down and then it becomes concave up, hence:

It's second derivative is of the first degree.It's first derivative is of the second degree.The function is of the third degree, hence n = 3.

Thus:

f(x) = ax³ + x - 3.

Then we look at the x-intercept, meaning that when x = 1, y = 0, this the leading coefficient is obtained as follows:

0 = a + 1 - 3

a = 2.

Thus the function is defined as follows:

y = 2x³ + x - 3.

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you are skiing down a mountain with a vertical height of 2900 feet. the distance from the top of the mountain to the base is 5800 feet. to the nearest degree, what is the angle elevation from the base to the top of the mountain?

Answers

Answer:

  30°

Step-by-step explanation:

You want the angle of elevation to a point 2900 feet up that is 5800 feet distant on a straight line.

Sine

The sine of the angle is the ratio of the height to the straight-line distance.

  sin(θ) = h/d = 2900/5800 = 1/2

  θ = arcsin(1/2) = 30°

The angle of elevation is 30° from the base to the top.

Answer: When doing a problem like this I always draw an example so I can see it. If you do that you see a right triangle with the hypothenuse, 2500 feet, is the distance from the top to the base. The opposite side is 1250 feet. Then remember  sine= o/h, (opposite side over hypothenuse). So divide 1250/2500 and you get .5  Now take your calculator and use "inv" or sin-1 button to get the answer of the angle. x = 30

sinθ 1250/2500 = 1/2; θ = sin-1(1/2) = 30°

Step-by-step explanation:

Pleasure help mee !!???

Answers

Answer:

28. Just divide 1876 by 67.

Step-by-step explanation:

Answer:

28 I believe

Step-by-step explanation:

Using composition of functions, determine if the two functions are inverses of each other. , x ≥ 0 , x ≥ 2 A. No, because the functions contain different operations. B. No, because the composition does not result in an answer of x. C. Yes, because F(x) is equal to –G(x). D. Yes, because the composition results in an answer of x for x ≥ 2.

Answers

The correct option regarding whether the two functions are inverse functions is given as follows:

B. No, because the composition does not result in an answer of x.

How to verify if the two functions are inverses of each other?

Two functions are inverses of each other if the composition of these two function has a result of x.

From the image given at the end of the answer, the two functions in this problem are defined as follows:

[tex]F(x) = \sqrt{x} + 4, x \geq 0[/tex]G(x) = x² - 4, x ≥ 2.

Their composition is given as follows:

[tex](G \circ F)(x) = G(\sqrt{x} + 4)[/tex]

[tex](G \circ F)(x) = (\sqrt{x} + 4)^2 - 4[/tex]

[tex](G \circ F)(x) = x + 8\sqrt{x} + 16 - 4[/tex]

[tex](G \circ F)(x) = x + 8\sqrt{x} + 12[/tex]


The composition does not result in x, hence the two functions are not inverses and the correct statement is given by statement B.

Missing Information

The problem is given by the image shown at the end of the answer.

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y = -2x + 1
4x + y = 9

Solve the system of equations without graphing. Show all the math steps needed to find the solution to this system.

Answers

Answer:

x =4 & y = -7

Step-by-step explanation:

this is the right answer

HELP ME PLEASE!!
I HAVE NO IDEA WHAT IM DOING!!
A. 36
B. 54
C. 72
D. 18

Answers

Answer:

72

Step-by-step explanation:

We are told that line AC divides angle BAE in half or "bisects" it. We are also told that line AD divides angle CAE in half as well. Lastly we are giving the value of angle DAE which is 36.

Since line DA split angle CAE in half and we have half of the value, that means that the measure of angle CAE is 36 times 2 which is 72.

72 happens to be our answer for angle BAC because angle BAC is half of the largest angle BAE, which was divided in two by line AC.

Hope this helps!

Which is a true statement about the given ratios?
9/14, 22/28, 5/7, 12/14

A. 9/14 > 5/7
B. 5/7 > 22/28
C. 12/14 > 22/28
D. 9/14 > 12/14

I would like if you show proof
Please help me

Answers

The true statement about the given ratios will be;

⇒ 12/14 > 22/28

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The ratios are,

⇒ 9/14, 22/28, 5/7, 12/14

Now,

Since, The ratios are,

⇒ 9/14, 22/28, 5/7, 12/14

Hence, The correct ratio will be;

⇒ 12/14 = 24/28

Thus, We get;

⇒ 12/14 > 22/28

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Answer: The true statement about the given ratios will be;

⇒ 12/14 > 22/28

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The ratios are,

⇒ 9/14, 22/28, 5/7, 12/14

Now,

Since, The ratios are,

⇒ 9/14, 22/28, 5/7, 12/14

Hence, The correct ratio will be;

⇒ 12/14 = 24/28

Thus, We get;

⇒ 12/14 > 22/28

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Find the slope of the line that passes through (5, 1) and (10, 7).

Answers

Answer:

6/5

Step-by-step explanation:

slope = m = y2-y1/x2-x1

change in y: 7-1 = 6

change in x: 10-5 = 5

slope = 6/5

can you please help me ASAP

Answers

Answer:

D. 7

Step-by-step explanation:

[tex] \frac{ \sqrt{196} }{\sqrt{4} } \\ [/tex]

[tex] \frac{14}{2} [/tex]

=7

PLS HELP W/ THESE LAST FEW QUESTIONS IM STRUGGLING THANK UU!!! (47 PNTS)
1) a
Obtuse and scalene
b
Isosceles and scalene
c
Acute and right
d
Right and scalene
e
Right and equilateral


2)Find the measure of the missing angle.

3)Find the measure of the missing angle.

6) t= ; ∠X

8) x=

10) m∠R = ; SR

Answers

Answer:

1. Scalene Triangle

2. 135 degrees

3. 80 degrees

I don't have much time for the rest, i'm sryyyyy

I hope i could helppp :3

0.55 / 2what is the probability that neither a nor b will happen? (round your answer to 2 decimal places.)

Answers

(a) The probability of either A or B occurring is 0.81.

(b) The probability that neither A nor B will happen is 0.19.

In the given question,

P(A)=0.39 P(A) = 0.39 and P(B)=0.42. P(B) = 0.42

(a) We have to find the probability of either A or B occurring.

P(A)=0.39

P(B)=0.42.

Since, events A and B are mutually exclusive

P(A and B) = 0

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.39 + 0.42 - 0

P(A or B) = 0.81

Probability of either A or B occurring is = 0.81

(b) Now we have to find the probability that neither A nor B will happen.

P(A or B) = 0.81

Probability that neither A nor B will happen = 1 - P(A or B)

Probability that neither A nor B will happen = 1 - 0.81

Probability that neither A nor B will happen = 0.19

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The right question is:

The events A and B are mutually exclusive. Suppose P(A)=0.39 P(A) = 0.39 and P(B)=0.42. P(B) = 0.42.

(a) What is the probability of either A or B occurring? (Round your answer to 2 decimal places.)

(b) What is the probability that neither A nor B will happen? (Round your answer to 2 decimal places.)

Imagine that you could increase the gravitational
force on Earth to 200% its current force. What would life be like?
Compose a written response below in complete sentences.

Answers

Your joints and bones would first have to work harder to support your heavier weight.

What would happen if there was a 200% increase in gravity?If you were subjected to double gravity for an extended length of time, it may be deadly since it would put your body under a lot of strain. Your joints and bones would first have to work harder to support your heavier weight. Even minor motions would be difficult for your muscles.Our blood will be drawn down into our legs if the gravity is too powerful, and we risk having our bones break or perhaps being helplessly stuck to the earth. It is preferable to determine the gravitational limit of the human body before we set foot on a sizable new planet.

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For this lab, you will find the area of an irregularly shaped room with the shape as shown above.

Ask the user to enter the values for sides A, B, C, D, and E and print out the total room area.

Remember the formula for finding the area of a rectangle is length * width and the area of a right triangle is 0.5 * the base * height.

Please note the final area should be in decimal format.

Sample Run
Enter side A: 11
Enter side B: 2
Enter side C: 4
Enter side D: 7
Enter side E: 1
Sample Output
Room Area: 53.5

Answers

The python program code is written to find the area of the shape.

What is meant by area?

The size of a region on a planar or curved surface is expressed mathematically as area. The term "surface area" refers to the area of an open surface or the perimeter of a three-dimensional object, whereas "plane area" refers to the area of a shape or planar lamina.

The program is given as:

print('Please, enter sides lengths:')

# Getting sides lengths

a, b, c, d, e = map(float, (input('A = '), input('B = '), input('C = '), input('D = '), input('E = ')))

# Finding a rectangle area

rect_area = a * b

# Finding a triangle area

triang_height = (c**2 - (a / 2)**2)**0.5

triang_area = 0.5 * a * triang_height

# Sum area

area = rect_area + triang_area

print('Total room area: %f' % area)

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Find the sum of 5.21 × 1019 and 3.149 × 1017.

A. 8.359 × 1019
b. 5.24149 × 1019
c. 5.24149 × 1036
d. 8.359 × 1036

Answers

Answer:

B

Step-by-step explanation:

5.21 x 10^19 + 3.149 x 10^17

10^17(5.21 x 10^2 + 3.149)

10^17(521 + 3.149)

10^17(524.149)

5.24149 x 10^17 x 10^2

5.24149 x 10^(17+2)

5.24149 x 10^19

Answer: b. 5.24149 × 1019

Step-by-step explanation: I took the test

The library sponsors a chess club for members of all ages and skill levels. Currently, the ages of the members are 7, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, and 22. The librarian uses a histogram to track the number of members in different age groups. For this situation, which is the appropriate way to label the age intervals on the x-axis?

Answers

Answer:

B. 7−10; 11−14; 15−18; 19−22

Step-by-step explanation:

Solve the system of equations using the substitution method. y = -5x -2x - y = 0 (x, y) = ( ¯\____|​

Answers

Answer:

x= -2y/7

Step-by-step explanation:

y=-5x-2x-yif you switch sides you get

-5x-2x-y=y

add similar elements -5x-2x-y=-7x

-7x-y=y

move y to the right side

-7x=2y

decide both sides by -7

-7x/-7 = 2y/-7y

simplify

x = -2y/7

Other Questions
2.Discuss Article II of the Constitution as it relates to the executive branch, including eligibility for office and length of term, election to and removal from office and the oath of office. Induction charging is a method used to charge an object without actually touching the object to any other charged object.the process by which an object receives a static charge when placed near a second charged object is known as Consider this right triangle. 20 m 37 Enter the length of side AB, to the nearest tenth. the provider has ordered an i.v. of 5% dextrose in lactated ringer's solution at 125 ml/hr. the i.v. tubing delivers 10 gtt/ml. how many gtt/min should fall into the drip chamber? PLEASE HELP ME I TOOK A PICTURE A minimum wage has been placed on a monopsony labor market that is greater than the monopsony wage, but less than the wage where the marginal revenue product of labor and the marginal factor cost of labor intersect.What happens as a result of the minimum wage? What is true about cellular respiration?A. Cellular respiration is an endothermic chemical reaction.B. Cellular respiration is an exothermic physical change.C. Cellular respiration is an endothermic physical change.D. Cellular respiration is an exothermic chemical reaction. your boss at a pharmaceutical company has asked you to design a drug that can recognize the dna sequence of a specific gene and increase transcription. which molecule is most likely to be able to do this? king cyrus of persia allowed the jews to return to jerusalem to rebuild the temple. what does this story teach about opposition? If slope of a line is 7 and y-intercept is 4, then write the equation of that line. this christmas song was composed by francis dandan with lyrics by the great baritone and national artist aurelio estanislao. this song is about how a broken heart feels at christmas. the song was also popularized by gary valenciano The equation 4(2x 1) = 6x 12 models the change in water level in a lake in one month. solve for x, which is change in height in inches. x equals negative thirteen halves x = 8 x = 8 x equals eleven halves world r us has offices in paris, bangkok, london, dublin, miami, baltimore, and salvages. they want to fully connect all sites. how many maximum connections are possible? 1.The band and the orchestra are each having a party to celebrate theresults of their latest competition. The band would like to order cupcakesfrom Walmart at a cost of $3.35 per cupcake and a $13.00 order feeThe orchestra would like to order cupcakes from Publix at $2.90 eachand a $22.50 order fee. This system {2.90c +22.50 represents thetotal cost, T, and the number of cupcakes. Determine how manycupcakes each club can order if they both have the same amount ofmoney to spend. Is the solution viable or not viable? Enter the ordered pair for the vertices for Rx-axis(QRST). what trends in divisions of labor may be contributing to worse levels of individual well-being and marital satisfaction for women? a doctor claims that people are at most 6 pounds overweight. to test the claim, the doctor randomly selects 81 people and calculates the difference between their ideal weight and actual weight. the sample mean and sample standard deviation of that difference were 7 pounds and 2 pounds respectively. can we conclude at the 1% level of significance that the claim is true? group of answer choices yes, conclude the claim is true by rejecting h0. no, conclude the claim is not true by rejecting h0. no, conclude the claim is not true by accepting h0. yes, conclude the claim is true by accepting h0. if you were to test nutrient holding capacity in the four particle sizes, which would you expect to hold nutrients best - gravel, light soil, sand, or clay? megan contracts to sell nonny her horse for $4,000. this contract will be fully discharged when megan and nonny mariel is preparing a marinade the calls for 1/2 cup of water, 1 cup of soy sauce, and 1/2 cup of vinegar. she wants to prepare enough to feed a party, so she decides to make 12 cups of marinade in total. How many cups of vinegar will she need