Answer:
1.46 dollars per pound
Step-by-step explanation:
Take the total cost and divide by the number of pounds
7.30 dollars / 5 pounds
1.46 dollars per pound
Answer:
1.46
Step-by-step explanation:
Unit rate is the amount for only one pound. To do this, divide 7.30 and 5.
Divide:
7.3 / 5 = 1.46
Each pound is $1.46
Hope this helped.
Absolute Value Equations
Answer:
4 is E, 5 is A
Step-by-step explanation:
4) Divide both sides by 5 to get |2x + 1| = 11, then solve for x to get 5 and -6.
5) Add 7 to both sides to get ½|4x - 8| = 10. Multiply both sides by 2 to get |4x - 8| = 20, then solve for x to get 7 and -3.
You want to buy a house that has a purchase price of $180,000 you plan to make a down payment of 10% of the purchase price and then while the rest what is the dollar value of the down payment?
Step-by-step explanation:
=10% of $180000
= 10*$180000/100
=$180
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Step-by-step explanation:
Find the inverse relationship of the function y=2x+5
Answer:
y=x-5/2
Step-by-step explanation:
Swap y and x
x=2y+5
since a function has to be in the form y=mx+c
take 5 to the other side in order to remain with 2y then divide both sides by 2
x-5/2=y
y=x-5/2
Answer:
Duke is a very good team and
Camille is attending a fundraiser. She pays for her admission and buys raffle tickets for $5dollar each. If she buys 10 raffle tickets, then she would spend a total of $135 at the fundraiser.
The number S of dollars Camille spends at the fundraiser is a function of r, the number of raffle tickets she buys.
Write the function's formula.
Answer:
50r + a = 135
Admission cost was $85
Step-by-step explanation:
We are missing a crucial amount of information here. It is how much she spent on her admission. We can create an equation symbolizing this problem.
5r + a = 135
We know that she purchases 10 tickets so we can substitute that in r and solve for a.
50 + a = 135
a = 85
Best of Luck!
Hari earns Rs 4300 per month. He spends 80% from his income. How much does he save in a year? please give answer in step by step explaination
Saving percentage=100-80=20%
Saving amount:-
[tex]\\ \sf\longmapsto 4300\times 20\%[/tex]
[tex]\\ \sf\longmapsto 4300\times \dfrac{20}{100}[/tex]
[tex]\\ \sf\longmapsto 43\times 20[/tex]
[tex]\\ \sf\longmapsto 860[/tex]
saving per year=Saving per month×12[tex]\\ \sf\longmapsto 12\times 860[/tex]
[tex]\\ \sf\longmapsto Rs10320[/tex]
Step-by-step explanation:
i think this will be help you
What represents the inverse of the function f(x) = 4x
Answer:
[tex]f { - 1}^{ } = \frac{x}{4} [/tex]
Step-by-step explanation:
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Which of these is a factor in this expression?
7z4 – 5 + 10 (y3 + 2)
A. -5 + 10 (y + 2)
B. (y3 + 2)
C. 7z4 – 5
D. 10 (y3 + 2)
Answer:
A
Step-by-step explanation:
-5+10(y+2) is a factor
The factor in the expression is (y³ + 2)
How to determine the factor in the expression?The expression is given as:
7z⁴ - 5 + 10 (y³ + 2)
The terms of the expressions are:
7z⁴ , -5 and 10 (y³ + 2)
The factors are
7 and z⁴10 and (y³ + 2)Hence, the factor in the expression is (y³ + 2)
Read more about expressions at:
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Q is equidistant from the sides of TSR. Find the value of x.
T
(2x + 240°
30°
S
R
Lets do
[tex]\\ \sf\longmapsto 2x + 24 = 30 \\ \\ \sf\longmapsto 2x = 30 - 24 \\ \\ \sf\longmapsto 2x = 6 \\ \\ \sf\longmapsto x = \frac{6}{2} \\ \\ \sf\longmapsto x = 3[/tex]
Look at the number 45,962. Write a new
number that has the digit 4 with a value 10 times
greater than the value of the 4 in 45,962. Explain how
you determined your new number.
I'm not sure about this one..
PLS HELP!
If f(x)= x+3/4 what is the equation for f–1(x)?
A) f–1(x) = 4(x + 3)
B) f–1(x) = 4x - 3
C) f–1(x) = 4(x - 3)
D) f–1(x) = 4x + 3
Answer:
f^-1(x) = 4x-3
Step-by-step explanation:
f(x) = (x+3)/4
y = (x+3)/4
Exchange x and y
x = (y+3)/4
Solve for y
4x = y+3
Subtract 3
4x-3 = y
The inverse
f^-1(x) = 4x-3
I need help with this
Answer: 13.5 Okay! Here's the method count the legs of the right triangle
The formula we'll use will be
A^2 + B^2 = C^2
In this case we're counting by twos
The base is 11 so we times it by itself =110
The leg is 8.5 so we going to times itself to make 72.25 add those together so 110+ 72.25 = 182.25 then we \|-----
182.25
Then you have got ur answer of 13.5
Step-by-step explanation:
Solve the following formula for the specified variable:
C = 1/2 e * p for e
Given:
The formula is:
[tex]C=\dfrac{1}{2}e\cdot p[/tex]
To find:
The formula for e.
Solution:
We have,
[tex]C=\dfrac{1}{2}e\cdot p[/tex]
Multiply both sides by 2.
[tex]2C=e\cdot p[/tex]
Divide both sides by p.
[tex]\dfrac{2C}{p}=\dfrac{e\cdot p}{p}[/tex]
[tex]\dfrac{2C}{p}=e[/tex]
Interchange the sides.
[tex]e=\dfrac{2C}{p}[/tex]
Therefore, the required formula for e is [tex]e=\dfrac{2C}{p}[/tex].
Please help. I don't understand how to solve for number 17, 19, and 21. Please show how you solved each problem
(17) From the plot, you see that
Pr[$15,500 ≤ x ≤ $18,500] = 99.7%
We can split up the probability on the left at the mean, so that
Pr[$15,500 ≤ x ≤ $17,000] + Pr[$17,000 ≤ x ≤ $18,500] = 99.7%
Any normal distribution is symmetric about its mean, so the two probabilities here are the same. The one on the left is what you want to compute. So you have
2 × Pr[$15,500 ≤ x ≤ $17,000] = 99.7%
==> Pr[$15,500 ≤ x ≤ $17,000] = 49.85%
(19) The mean of a normal distribution is also the median, so half the distribution lies to either side of the mean. Mathematically, we write
Pr[x ≥ $17,000] = 50%
The plot shows that
Pr[$16,500 ≤ x ≤ $17,500] = 68%
and by using the same reasoning as in (17), we have
Pr[$16,500 ≤ x ≤ $17,000] + Pr[$17,000 ≤ x ≤ $17,500] = 68%
2 × Pr[$17,000 ≤ x ≤ $17,500] = 68%
Pr[$17,000 ≤ x ≤ $17,500] = 34%
Now
Pr[x ≥ $17,000] = 50%
Pr[$17,000 ≤ x ≤ $17,500] + Pr[x ≥ $17,500] = 50%
34% + Pr[x ≥ $17,500] = 50%
==> Pr[x ≥ $17,500] = 16%
(21) From the plot,
Pr[$16,000 ≤ x ≤ $18,000] = 95%
This means (by definition of complement) that
Pr[x ≤ $16,000 or x ≥ $18,000] = 100% - 95% = 5%
and by symmetry,
Pr[x ≤ $16,000 or x ≥ $18,000] = 5%
Pr[x ≤ $16,000] + Pr[x ≥ $18,000] = 5%
2 × Pr[x ≤ $16,000] = 5%
==> Pr[x ≤ $16,000] = 2.5%
What would you do to isolate the variable in the equation below, using only one
step?
X + 9 = - 12
O Subtract 9 from both sides of the equation.
O Add 9 to both sides of the equation.
का
O Subtract 12 from both sides of the equation.
O Add 12 to both sides of the equation.
Answer:
O Subtract 9 from both sides of the equation.
Step-by-step explanation:
Notice that on the left hand side of the equation, you have two parts: X and 9. The variable is X, so we must do something to the 9 to remove it. Remember that we can cancel things by adding the negative of it. For example, 47+(-47)=0. Therefore, the opposite of 9 is -9. That essentially means subtracting 9.
What are the coordinates A’ after 90 counterclockwise rotation about the origin.
Answer:
the above is the answer
hope this is helpful
Please answer this question. Will give brainiest fast
Answer: The answer is C the one you chose
In the following scenario for a hypothesis test for a population? mean, decide whether the? z-test is an appropriate method for conducting the hypothesis test. Assume that the population standard deviation is known. Preliminary data analyses reveal that the sample data contain no outliers but that the distribution of the variable under consideration is probably mildly skewed. The sample size is 70.
Choose the correct answer below.
a. The z-test is not an appropriate method, because the sample size is too small to be useful.
b. The z-test is an appropriate method, because the sample contains no outliers.
c. The z-test is an appropriate method, because the sample size is sufficiently large that the skewness of the variable does not matter.
d. The Z-test is not an appropriate method, because the sample is not a large sample and the data are highly skewed.
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Answer:
yes
Step-by-step explanation:
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write your answer in simplest radical form
Answer:
y = 2
Step-by-step explanation:
y = √2 × √2 = 2
It's a 45-45-90 triangle
1. What kind of special angle pair do the 2
angles make? (corresponding,
supplementary, or vertical)
Answer:
supplementary angle is whose is mesure is 180
What is the slope of the line that goes through (-1, – 7) and (3, 9)?
Answer:
4
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 9 - -7)/( 3 - -1)
= (9+7)/(3+1)
=16/4
= 4
Obtain all other zeros of 2 x power 4 - 6 x cube + 3 X square + 3 x minus 2 if two of its zeros are 1\ square root 2 and -1\square root 2
If ABCDE is reflected over the x-axis and then translated 3 units left, what are
the new coordinates C?
Answer:
B (-2,2)
Step-by-step explanation:
Point C starts at (1,-2).
Reflect over the x axis: Point C becomes (1,2)
Translate 3 units left: Subtract 3 from x to make Point C (-2,2)
The new coordinates of C is (-2,2).
option (B) is correct.
It is required to find the new co-ordinate of C.
What is called co ordinate?Coordinates are distances or angles, represented by numbers, that uniquely identify points on surfaces of two dimensions (2D) or in space of three dimensions ( 3D ).
In the given figure ABCDE is reflected over X-axis and then translated 3 units left.
So, Point C starts at (1,-2).
Reflect over the x axis: Point C becomes (1,2).
Finally Reflect over the x axis: Point C becomes (-2,2).
OR
Translate 3 units left: Subtract 3 from x to make Point C IS (-2,2).
Thus, the new coordinates of C is (-2,2).
Learn more about the co-ordinates here:
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please help!!!
find x
9514 1404 393
Answer:
x = (17/2)√2
Step-by-step explanation:
The ratios of sides of an isosceles right triangle are ...
1 : 1 : √2
In this problem, that is identical to ...
x : x : 17
That is, ...
[tex]x=\dfrac{17}{\sqrt{2}}=\boxed{\dfrac{17}{2}\sqrt{2}}\qquad\text{after rationalizing the denominator}[/tex]
Determine the type of quadrilateral given the following coordinates. Show and explain all steps to prove your answer. A(2, 3) B(-1, 4) C(0, 2) D(-3, 3)
Answer:
The quadrilateral is a parallelogram
Step-by-step explanation:
If you plot the points on the graph it resembles the shape of a parallelogram. It prove this you need to check if the lengths are correct. The slope between point A and point B is 1/3 and the slope between point C and point D is also 1.3. The slope between point B and D is 1/2 and the slope between point A and point C is also 1/2
hope this helps
The quadrilateral is a parallelogram from the graph and the coordinates formed are parallel and the opposite sides have equal length.
What is a parallelogram?A parallelogram is a quadrilateral whose opposite sides are parallel and equal in length. The opposite angles of a parallelogram are equal. The diagonals of a parallelogram bisect each other.
For the given situation,
The coordinates are A(2, 3) B(-1, 4) C(0, 2) D(-3, 3).
The graph below shows these points on the coordinates and the points ABDC forms the parallelogram.
This can be proved by finding the distance between these points.
The formula of distance between two points is
[tex]AB=\sqrt{(x2-x1)^{2}+ (y2-y1)^{2}}[/tex]
Distance AB is
⇒ [tex]AB=\sqrt{(-1-2)^{2}+ (4-3)^{2}}[/tex]
⇒ [tex]AB=\sqrt{(-3)^{2}+ (1)^{2}}[/tex]
⇒ [tex]AB=\sqrt{9+ 1}[/tex]
⇒ [tex]AB=\sqrt{10}[/tex]
Distance BD is
⇒ [tex]BD=\sqrt{(-3+1)^{2}+ (3-4)^{2}}[/tex]
⇒ [tex]BD=\sqrt{(-2)^{2}+ (-1)^{2}}[/tex]
⇒ [tex]BD=\sqrt{4+ 1}[/tex]
⇒ [tex]BD=\sqrt{5}[/tex]
Distance DC is
⇒ [tex]DC=\sqrt{(0+3)^{2}+ (3-2)^{2}}[/tex]
⇒ [tex]DC=\sqrt{(3)^{2}+ (1)^{2}}[/tex]
⇒ [tex]DC=\sqrt{9+ 1}[/tex]
⇒ [tex]DC=\sqrt{10}[/tex]
Distance CA is
⇒ [tex]CA=\sqrt{(2-0)^{2}+ (3-2)^{2}}[/tex]
⇒ [tex]CA=\sqrt{(2)^{2}+ (1)^{2}}[/tex]
⇒ [tex]CA=\sqrt{4+ 1}[/tex]
⇒ [tex]CA=\sqrt{5}[/tex]
Thus the lengths of the opposite sides are equal, the given points forms the parallelogram.
Hence we can conclude that the quadrilateral is a parallelogram from the graph and the coordinates formed are parallel and the opposite sides have equal length.
Learn more about parallelogram here
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HELP FAST PLEASE!!!!!! Name the marked angle in 2 different ways.
Answer:
you forgot to add an image I dont know what angles your talking about
Refer to the picture above
Answer:
3.14
Step-by-step explanation:
First find the circumference of the circle:
[tex]2\pi r[/tex] = Circumference.
[tex]2 * \pi * 6[/tex] = [tex]12\pi[/tex]
Find the ratio of the angle in relation to the entire circle:
[tex]30^o[/tex] is what we have. So:
[tex]\frac{30^o}{360^o} = \frac{1}{12}[/tex]
Use the ratio and multiply the circumference to find the length:
[tex]12\pi * \frac{1}{12}[/tex] = [tex]\pi[/tex]
Round answer to the hundredth:
[tex]\pi = 3.14[/tex]
-Ba+9=Q²a solve for a
Answer:
[tex]a= \frac{9}{B+Q^2}[/tex]
Step-by-step explanation:
Given;
-Ba+9=Q²a
To solve for "a", make "a" the subject of the formula.
First, collect similar terms together;
-Ba - Q²a = -9
multiply through by "-1" to remove the negative sign;
Ba + Q²a = 9
factor out a;
a(B + Q²) = 9
divide both sides of the equation by "(B + Q²) ";
[tex]\frac{a(B+Q^2)}{B+Q^2} = \frac{9}{B+Q^2} \\\\a = \frac{9}{B+Q^2}[/tex]
Therefore, the value of "a" in the given expression is [tex]\frac{9}{B+Q^2}[/tex]
Determine how many days t will the two isotopes have the same activity
Answer:
t = 1 ... one day
Step-by-step explanation:
3 x [tex]10^{18}[/tex] * [tex](.5)^{t}[/tex] = 6 x [tex]10^{18}[/tex] * [tex](.5)^{2t}[/tex]
3 x [tex]10^{18}[/tex] = [tex](.5)^{2t}[/tex] / [tex](.5)^{t}[/tex]
6 x [tex]10^{18}[/tex]
1/2 = [tex].5^{t}[/tex]
ln( 1/2) = t ln( [tex].5[/tex] )
t = ln( .5)/ln( [tex].5[/tex] )
t = 1
