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Delicious77 [7]
3 years ago
13

Select the correct answer. Adam placed an order with an online clothing store. He ordered 5 shirts and 4 pairs of shoes, and he

paid $155. His friend ordered 3 shirts and 2 pairs of shoes. His bill totaled $85. Assume that all of the shirts are the same price and all of the shoes are the same price. What is the cost of one shirt and one pair of shoes? A. A shirt costs $10, and a pair of shoes cost $25. B. A shirt costs $15, and a pair of shoes costs $20. C. A shirt costs $20, and a pair of shoes costs $15. D. A shirt costs $25, and a pair of shoes cost $10.
Mathematics
1 answer:
ycow [4]3 years ago
7 0

Answer: The answer is B.

Step-by-step explanation: Multiply $15 times 5 shirts, which equals $75. Now multiply $20 times 4 shoes, which equals $80. Now add the two products, and you get $155.

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Find the equation of the line through point (3,−3) and parallel to y=3x−4. Use a forward slash (i.e. "/") for fractions (e.g. 1/
exis [7]

Answer:

y =3x - 12

Step-by-step explanation:

I'm fairly certain this is the answer.

Consider the point (3,-3). In terms of variables this is written (x,y).

Remember that the equation for slope is y = mx + b.

In that equation, "b" is your y-intercept, and "m" is your slope.

If 2 lines are parallel, they have the same slope but different y-intercepts. So you can use the slope from the equation y=3x-4 to find the parallel line. You can also plug in the values 3 and -3 to solve for b, our y-intercept.

If we set up the equation, we have -3 = 3(3) + b.

Now solve for b.

-3 = 9 + b

Combine like terms, so that -12 = b, and you have your y-intercept.

To create the equation, take out the coordinate pair that the line passes through, and only have the SLOPE and the Y-INTERCEPT showing in the equation.

Therefore, y = 3x - 12

5 0
3 years ago
Find in simplest radical form, the length of the line segment joining points (1,5) and (3,9)
yaroslaw [1]
\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 1 &,& 5~) 
%  (c,d)
&&(~ 3 &,& 9~)
\end{array}~~~ 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{(3-1)^2+(9-5)^2}\implies d=\sqrt{2^2+4^2}\implies d=\sqrt{20}
\\\\\\
d=\sqrt{4\cdot 5}\implies d=\sqrt{2^2\cdot 5}\implies d=2\sqrt{5}
4 0
4 years ago
Write an equation for the line that passes through the given point and is parallel to the graph of the given equation.
vova2212 [387]

Answer:

\displaystyle 2x - 3y = 6\:OR\:y = \frac{2}{3}x - 2 \\ \\ 3x - 2y = 40\:OR\:y = \frac{3}{2}x - 20

Step-by-step explanation:

2 = ⅔[6] + b

4

\displaystyle -2 = b \\ \\ y = \frac{2}{3}x - 2

If you want it in <em>Standard Form</em>:

y = ⅔x - 2

- ⅔x - ⅔x

_________

−⅔x + y = −2 [We do not want fractions in our standard equation, so multiply by the denominator to get rid it.]

−3[−⅔x + y = −2]

\displaystyle 2x - 3y = 6

_______________________________________________

−5 = 3⁄2[10] + b

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\displaystyle -20 = b \\ \\ y = \frac{3}{2}x - 20

If you want it in <em>Standard</em><em> </em><em>Form</em>:

y = 3⁄2x - 20

- 3⁄2x - 3⁄2x

__________

−3⁄2x + y = −20 [We do not want fractions in our standard equation, so multiply by the denominator to get rid of it.]

−2[−3⁄2x + y = −20]

\displaystyle 3x - 2y = 40

* Parallel Lines have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>], so ⅔ and 3⁄2 remain the way they are.

I am joyous to assist you anytime.

3 0
3 years ago
Please indicate which of the following are the weaknesses of this display.
Arlecino [84]

Answer:

1) no traceable sources

3) too many pie slices

4) exploding 3D slices distort proportion being graphed.

7) no units of measurement.

Step-by-step explanation:

The job order costing is a way in which cost and expenses are allocated based on the no of jobs and its degrees of completion. In the given scenario the there is no traceable source for the allocation of the cost on the job. There are too many pie slices which are difficult to understand when analyses is done. The unit measurement is not assigned which is crucial for job order costing.

5 0
3 years ago
What is the graph of each function rule? 1. y = x3 + 1 2. y= 2x+4
faust18 [17]

Step-by-step explanation:

y=1×3+1=4

y= 2×1+4=6

i hope right answer

7 0
3 years ago
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