ANSWER ASAP!! Use the substitution method to solve the system of equations. 3x+7y=1 and y=x-7

Answers

Answer 1

Answer:

x=5

y = -2

(5,-2)

Step-by-step explanation:

3x+7y=1 and y=x-7

Substitute the second equation in for y in the first equation

3x+7( x-7)=1

Distribute

3x+ 7x - 49 = 1

Combine like terms

10x - 49 =1

Add 49 to each side

10x-49+49 = 1+49

10x = 50

Divide by 10

10x/10 = 50/10

x = 5

Now find y

y = x-7

y = 5-7

y = -2


Related Questions

Your cell phone plan costs 55 dollars a month, plus 35 cents per minute. Write an equation to represent the monthly bill of the cell phone plan.

Answers

Answer: Umm lemme try this

Step-by-step explanation:

55+35=x

2(x+3)=x-4
please help me <3

Answers

2(x + 3) = x - 4

distribute

2x + 6 = x - 4

either subtract 6 from both sides or add 4. i will be subtracting 6.

2x = x - 10

subtract x from both sides

x = -10

Alex wants to arrange chairs in such a way that the number of chairs in a row is equal to the number of columns. He has ordered 5100 tables.
a)How many more tables needed to arrange in such a way that he planned? Justify your answer
2)How many chairs can he remove to arrange in a way that he wants? Justify your answer.

Answers

Answer:

84

59

Step-by-step explanation:

In other to have the same number of chayes in both rows and columns ;

If the Number of chairs per row = x ; then number of chairs per column = x

Then the total number of chairs needed = x * x = x²

Hence, if there are 5100 chairs ;

Number of chairs needed more ;

Take the square root of 5100 ;the round to the next whole number :

B.) For number of chairs to be removed ;

Take the square root of 5100 and round down to the whole number.

Hence,

A.) = √5100 = 71.414 = 72

72² - 5100 = 84

B.) 5100 = 71.414 = 71

5100 - 71² =

When g(x) = 3x, what is g(5)?

Answers

Answer:

g(5) = 15

Explanation:

If the x in g(x) is 5 then the x beside 3 would also be 5.

g(5) = 3(5)

g(5) = 15

Hope this helps, good luck!

Answer:

g(5)= 15

Step-by-step explanation:

g(x) = 3x and in this situation x =5 (  g(5)  )

so substitute x for 5 in the original equation:

g(x) = 3x --> g(5) = 3(5)

which gives you 15. Hope this helps!

At Misu's Ice Cream Parlor, their famous 4-layer ice cream cake consists of four layers of ice
cream alternating with layers of cake. If there are 8 flavors of ice cream, and we count
different cakes based on the order of ice cream layers from top to bottom:
a) how many different cakes can be made if flavors can be repeated?

Answers

Answer:

4096 different cakes can be made if flavors can be repeated.

Step-by-step explanation:

Since at Misu's Ice Cream Parlor, their famous 4-layer ice cream cake consists of four layers of ice cream alternating with layers of cake, if there are 8 flavors of ice cream, and we count different cakes based on the order of ice cream Layers from top to bottom, to determine how many different cakes can be made if flavors can be repeated, the following calculation must be performed:

8 x 8 x 8 x 8 = X

64 x 64 = X

4.096 = X

Therefore, 4096 different cakes can be made if flavors can be repeated.

2. The cost of oranges varies directly with the total mass bought. 2 kg of oranges costs $4.50. Describe the relationship between cost and mass in words. You may want to calculate a unit rate first.​

Answers

Answer:

The relationship between the cost/mass is $2.25/kg.

Step-by-step explanation:

You first need to divide $4.50 / 2, to know what a single kilogram mass costs.

$4.50 / 2 = $2.25

Now that you have this unit rate $2.25, You can multiply/add it.

$4.50 + $2.25 is $6.75, + another $2.25 = $9.00, and so on.

Can someone help me with this question please..

Answers

Answer:

The ordered pair would be (2,3)

2 in the first Box

3 in the second

solve for this square.

Answers

Answer:

a2

b4

c16 brainliest plzz

Answer:

a) SV = 2

The line that is SV actually is not the full slash. It is halfway, and we know that half of four would be two.

b) RT = 4

This time RT is a full line going all the way down. So it would be 4.

c) p = a + b + c

The lengths are all the same because we calculated in the first question that two is half of four. So the base, height, and hypotenuse are the same, 2.

2 + 2 + 2 = 6

So the perimeter of the triangle RVS is 6.

Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition; and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge); and a pair of geons can be placed in 10 distinct qualitative relations (geon A on top of geon B; geon A to upper left of geon B; geon A to the left of geon B; and so forth).How many distinct two-geon objects do we have in the space described above?

Answers

Answer:

49500

Step-by-step explanation:

According to the Question,

Given That, Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition, and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge). and a pair of geons can be placed in 10 distinct qualitative relations.

We have, District geons = 20 , District Size = 5

So, The Number Of Ways A geon can be selected 20 x 5 = 100

Now, We choose 2 geons From 100 Geons and arrange them in 10 district relations.

So, The number of district two-geon object

= [tex]\left[\begin{array}{ccc}100\\2\end{array}\right] * 10[/tex]

= (100 × 99)/2 × 10

= 49.5×100×10   ⇒ 49500

6(x + 2) in the simplest form

Answers

Using the Distributive Property we can put this in its simplest form.

6(x+2)

(6)(x)+(6)(2)

6x+12

Answer:

6x + 12

Step-by-step explanation:

Use the distributive property to multiply the 6 to the x and 2 to get 6x + 12.

Please help me solve this

Answers

Answer:

m1 = 107°

m2 = 73°

m3 = 107°

m1+m2+m3+m4 = 360°

107+73+107+73=360°

Please help me on this question. Thanks

Answers

Answer:

E. p - 7 + 7 = 22 + 7

Step-by-step explanation:

p - 7 + 7 = 22 + 7 ( -7 + 7 = 0)

p = 22 + 7

p - 7 = 22//

What is the solution set for the quadratic inequality x2 – 5 ≤ 0?

Answers

Answer: -4...?

Step-by-step explanation:

Find an equation for the line that passes through the points (-2,-6) and (6,4).

Answers

Step-by-step explanation:

Line P passes through POINTS (-2,6) and (6,4). Using y=mx + b where m is the SLOPE(rise divided by the run), and b is the Y-INTERCEPT. Pick the POINT (6,4) and plug into the Y-INTERCEPT EQUATION above to determine the Y-INTERCEPT

Help will give brailiest to first answer

Answers

question isn't loading

Step-by-step explanation:

Answer:

i think it is b but don't take my word

Step-by-step explanation:

Which equation represents a circle with a center at (–3, –5) and a radius of 6 units?

Answers

Answer:

Step-by-step explanation:

The general equation of the circle is:

(x-h)²+(y-k)²=r²

(h, k)=(-3,-5)  are the coordinates of the center of the circle.

r=6  is the radius

The equation of the circle is:

(x+3)²+(y+5)² = 36

Consider the following hypothesis test. : : The following results are for two independent samples taken from two populations. Excel File: data10-03.xlsx Enter negative values as negative numbers. a. What is the value of the test statistic? (to 2 decimals) b. What is the -value? (to 4 decimals) c. With , what is your hypothesis testing conclusion? - Select your answer -

Answers

Answer:

[tex]z = -1.53[/tex] --- test statistic

[tex]p = 0.1260[/tex] --- p value

Conclusion: Fail to reject the null hypothesis.

Step-by-step explanation:

Given

[tex]n_1 = 80[/tex]     [tex]\bar x_1= 104[/tex]   [tex]\sigma_1 = 8.4[/tex]

[tex]n_2 = 70[/tex]    [tex]\bar x_2 = 106[/tex]    [tex]\sigma_2 = 7.6[/tex]

[tex]H_o: \mu_1 - \mu_2 = 0[/tex] --- Null hypothesis

[tex]H_a: \mu_1 - \mu_2 \ne 0[/tex] ---- Alternate hypothesis

[tex]\alpha = 0.05[/tex]

Solving (a): The test statistic

This is calculated as:

[tex]z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}[/tex]

So, we have:

[tex]z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}[/tex]

[tex]z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}[/tex]

[tex]z = \frac{-2}{\sqrt{0.8820 + 0.8251}}[/tex]

[tex]z = \frac{-2}{\sqrt{1.7071}}[/tex]

[tex]z = \frac{-2}{1.3066}[/tex]

[tex]z = -1.53[/tex]

Solving (b): The p value

This is calculated as:

[tex]p = 2 * P(Z < z)[/tex]

So, we have:

[tex]p = 2 * P(Z < -1.53)[/tex]

Look up the z probability in the z score table. So, the expression becomes

[tex]p = 2 * 0.0630[/tex]

[tex]p = 0.1260[/tex]

Solving (c): With [tex]\alpha = 0.05[/tex], what is the conclusion based on the p value

We have:

[tex]\alpha = 0.05[/tex]

In (b), we have:

[tex]p = 0.1260[/tex]

By comparison:

[tex]p > \alpha[/tex]

i.e.

[tex]0.1260 > 0.05[/tex]

So, we fail to reject the null hypothesis.

When subtracting 1.578 from 127.3, the result on the calculator is 125.722. Round the answer to the appropriate precision based on the precision of the numbers in the subtraction column

Answers

Answer:

[tex]127.3 - 1.578 \approx 125.7[/tex]

Step-by-step explanation:

Given

[tex]127.3 - 1.578 = 125.722[/tex]

Required

Round to the precision of the 1.578

The number in the subtraction column is 1.578; so, the question implies that we round up 125.722 to the precision of 1.578

The precision of 1.578 is 4 (i.e. it has 4 digits). Hence, 125.722 will be approximated to 4 significant digits.

So, we have:

[tex]125.722 \approx = 125.7[/tex]

or

[tex]127.3 - 1.578 \approx 125.7[/tex]

please help me find the area

Answers

Answer:

320 square feet.

Step-by-step explanation:

For the moment, let's put the square back in place. That would make the length 16 + 8 = 24 and the width 16.

L = 24

W = 16

Area = L * W

Area = 24 * 16

Area = 384

Now the next step is to take out the square. It is 8 * 8 = 64

The area of the figure = 384 - 64 = 320 square feet, and that's the answer.

Answer:

320 in^2

Step-by-step explanation:

we need to find the area of this figure

Firstly divide above picture in two parts

1st figure = (16*16)in.

2nd figure = (8*8)in.

Area of 1st figure = 16*16 = 256 in^2

Area of 2nd figure = 8*8 = 64 in^2

Area of whole figure = ( 256 + 64 )in^2

= 320 in^2

Kayla wants to fence in a rectangular dog pen that is 30 ft by 40 ft How would you use wha
you know about geometry to help her ensure that she has truly built a rectangular pen?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the dimension of the dog pen = 30 ft by 40 ft.

Using the knowledge of geometry, that know that a rectangle has been built, the area of the pen should be :

Area of rectangle = Length * width

Area = 40 * 30

Area = 1200 ft²

Perimeter of rectangle = 2(Length + width)

Perimeter = 2(40 + 30)

Perimeter = 2(70)

Perimeter = 140 feets

Hence, area of the pen should be 1200 ft² and its perimeter or fencing should measure 140 feets

what's the value of 2
[tex]2\pi[/tex]

Answers

The answer is 6.28318530718.

2 x pi (3.14159 etc.,) equals 6.28318530718...

does anyone know the answer to this question ​

Answers

$265.32

r = R/100
r = 4/100
r = 0.04 rate per year,
A = P(1 + r/n)nt
A = 1,000.00(1 + 0.04/1)(1)(6)
A = 1,000.00(1 + 0.04)(6)
A = $1,265.32
1,265.32-1,000=265.32

Order the side lengths

Answers

Answer:

Step-by-step explanation:

First fill in the missing angles of each triangle:

angle IJK = 180-47-51 = 82°

angle KJL = 180 - 63 - 57 = 60°

Within EACH triangle, the side length is proportional to the opposite angle.

Therefore for triangle IJK,

JK < JL < IK

and for triangle JKL

JL < KL <JK

so combining (chaining) the two inequalities,

JL < LK <JK < JL < IK

Answer:

Step-by-step explanation:

first lets find angle J in triangle IJK

for angle J

47 + 51 + angle J =180 degree (sum of interior angle of a triangle )

98 + angle J =180

angle J =180 - 98

angle J =82 degree

Now lets find angle J in triangle JKL

for angle J

57 + 63 + angle J =180 degree (being sum of interior angle of the triangle)

120 + angle J =180

angle J = 180 - 120

angle J =60 degree

now lets place the angle from samllest to largest

angle I = 41 degree

angle K = 51 degree

angle K of JKL triangle = 57 degree

angle J of JKL triangle = 60 degree

angle L =63 degree

angle J of IJK triangle = 80 degree

Side opposite to the smallest angle is smallest in sides and side opposite to the longest angle is largest in side.So,

side opposite to angle I is JK

side opposite to angle K is IJ

side opposite to angle K of JKL triangle is JL.

side opposite to angle J of JKL triangle is LK.

side opposite to angle L is JK.

side opposite to angle J of IJK triangle is IK.

therefore required answer is

JK , IJ , JL , LK , JK , IK

help me find the volume (picture)

Answers

all u need to do is 3 x 3x 4 / 2= 18ft

Answer:

18

Step-by-step explanation

f(x) = 3x + 10
х
f(x)
-3
-2
-1
-4

Answers

The answer is 89 you missed a step

Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5 (and your wager) for rolling a 5 or a 2, nothing otherwise. What are your expected net winnings, to the nearest cent?

Answers

Since one dice has 6 numbers
You would have a 2/6 chance or 1/3
You paid $3 so if you rolled both number you would make $10. Then you would have to subtract the cost of $3 from that. So you could win $7. Not sure if you were using on one or 2 dice to roll. You would just count all the numbers on both dice 12. Then you would have a 4 in 12 chance. 4/12 or 1/3 chance.

I need help please anyone

Answers

Answer:

base: 3units

height: 5units

Area:15units square

Step-by-step explanation:

you can count the squares in the figure to know the base and hight.

Area of parallelogram= base x height= 3x5= 15 units square.

please give me brainliest, thanks!

Pythagorean triples are super important to know. If the hypotenuse of a triangle is 15, what are its legs ( hint - use the three, four, five triple)

Answers

Answer:

9, 12

Step-by-step explanation:

Just multiply the 3,4,5 triple by 3 and u get 9, 12, 15

IF YOU REALLY KNOW ABOUT THIS PLEASE HELP IT’S MY FINAL EXAM, leave it if you don’t..... The two triangles illustrated below are similar. What are the values of x and y?

Answer from A to D

Answers

Answer:

B

Step-by-step explanation:

the larger triangle is 4 times bigger.....so the measurements for the sides are multiplied by 4.

the shape however is the same ....so the internal angle will still be 83 degrees

The correct answer is “A”

3. Two dice are rolled. What’s the conditional probability that both dice are 5’s if it’s known that the sum of points is divisible by 5?

Answers

Answer:

[tex]Pr =\frac{1}{3}[/tex]

Step-by-step explanation:

Given

[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]

[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]

[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex] --- sample space

First, list out all outcomes whose sum is divisible by 5

[tex]A = \{(4,6), (5,5),(6,4)\}[/tex]

So, we have:

[tex]n(A) = 3[/tex]

Next, list out all outcomes that has an outcome of 5 in both rolls

[tex]B = \{(5,5)\}[/tex]

[tex]n(B) =1[/tex]

The required conditional probability is:

[tex]Pr =\frac{n(B)}{n(A)}[/tex]

[tex]Pr =\frac{1}{3}[/tex]

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