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allsm [11]
2 years ago
8

Jason had $32. He spent all the money buying four CDs for x dollars each and two magazines for y dollars each. If Jason had boug

ht five CDs and two magazines, he would have run short by $4. The following system of equations models this scenario:
4x + 2y = 32
5x + 2y = 36

Use the system of equations to solve for x and y.
(4, 8)
(5, 6)
(8, 4)
(6, 5)
Mathematics
1 answer:
e-lub [12.9K]2 years ago
6 0

Answer:

(4,8)

Step-by-step explanation:

We have the two equations:

$ 4x + 2y = 32 \hspace{15mm} .....(1) $ and

$ 5x + 2y = 36 \hspace{15mm}  .....(2) $

Subtracting (1) from (2):

⇒ 5x + 2y -4x - 2y = 36 - 32

⇒                  x = 4

Substituting the value of x in (1), we get:

4(4) + 2y = 32

⇒ 2y = 16

⇒                      y = 8

We write the solution in ordered pair as (x,y) = (4,8).

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in a class of 240 pupils, 2/5 of them are boys and the rest are girls. a) what is the fraction of girls? b) how many boys are in
Sergio [31]
A. 3/5 of the class are girls.
B. 96 of the pupils are boys.

A. To find this answer you subtract 2 from 5 to get 3 (numerator or top of fraction) then use 5 as the denominator or bottom of the fraction.

B. To find this answer, you divide 240 by 5, to show how many pupils are in 1/5 of the class (48). Then multiply 48 by 2, to get the 2/5 of the pupils who are boys (96).

I hope this helps!
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3 years ago
5x1/3 as a mixed number​
Rasek [7]

Answer:

1\dfrac23

8 0
3 years ago
Read 2 more answers
I need your hlep now!!! this is due tomorrow
Aliun [14]

Answer:

6. -200+75= -125

7. -40+-17= -57

8. 6+-9= -3+7=4+-5= -1

5+3=8+-6= 2

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Correct answer: Cory goes first

Step-by-step explanation:

5 0
2 years ago
What is the answer to -4x +6=26
adelina 88 [10]
If you're solving for x:

-4x + 6 = 26
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5 0
3 years ago
Convert the polar equation to rectangular form and identify the graph. Support your answer by sketching the graph. Show and expl
Nadusha1986 [10]

The polar equation r = - 4 · cos θ is equivalent to the equation of the circle (x + 2)² + y² = 2², whose radius is 2 and center is (h, k) = (- 2, 0).

<h3>How to transform a polar expression into its rectangular form</h3>

Polar and rectangular forms are related by this relation: (x, y) → (r · cos θ, r · sin θ), where r is the radial distance with respect to the origin and θ is the angle in standard position. We can use this fact to change the given expression into its rectangular form:

r = - 4 · (x / r)

r² = - 4 · x

x² + y² = - 4 · x

y² = - (x² + 4 · x)

y² - 4 = - (x² + 4 · x + 4)

y² - 4 = - (x + 2)²

(x + 2)² + y² = 4

(x + 2)² + y² = 2²

In a nutshell, the polar equation r = - 4 · cos θ is equivalent to the equation of the circle (x + 2)² + y² = 2², whose radius is 2 and center is (h, k) = (- 2, 0).

To learn more on polar equations: brainly.com/question/27341756

#SPJ1

8 0
2 years ago
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