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3 years ago

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For a field trip, a high school wants to buy T-shirts and sweatshirts. The expression px+29y represents the cost of buying x T-s

hirts and y sweatshirts from a store. If each sweatshirt costs $17 more than a T-shirt, what is the value of p?

1 answer:

garri49 [273]3 years ago

7 0

Answer: UH

Step-by-step explanation:

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Pls solve the simultaneous equation in the attachment.

siniylev [52]

Answer:

Part a) The solution is the ordered pair (6,10)

Part b) The solutions are the ordered pairs (7,3) and (15,1.4)

Step-by-step explanation:

Part a) we have

$\frac{x}{2}-\frac{y}{5}=1$ ----> equation A

$y-\frac{x}{3}=8$ ----> equation B

Multiply equation A by 10 both sides to remove the fractions

$5x-2y=10$ ----> equation C

isolate the variable y in equation B

$y=\frac{x}{3}+8$ ----> equation D

we have the system of equations

$5x-2y=10$ ----> equation C

$y=\frac{x}{3}+8$ ----> equation D

Solve the system by substitution

substitute equation D in equation C

$5x-2(\frac{x}{3}+8)=10$

solve for x

$5x-\frac{2x}{3}-16=10$

Multiply by 3 both sides

$15x-2x-48=30$

$15x-2x=48+30$

Combine like terms

$13x=78$

$x=6$

<em>Find the value of y</em>

$y=\frac{x}{3}+8$

$y=\frac{6}{3}+8$

$y=10$

The solution is the ordered pair (6,10)

Part b) we have

$xy=21$ ---> equation A

$x+5y=22$ ----> equation B

isolate the variable x in the equation B

$x=22-5y$ ----> equation C

substitute equation C in equation A

$(22-5y)y=21$

solve for y

$22y-5y^2=21$

$5y^2-22y+21=0$

Solve the quadratic equation by graphing

The solutions are y=1.4, y=3

see the attached figure

<em>Find the values of x</em>

For y=1.4

$x=22-5(1.4)=15$

For y=3

$x=22-5(3)=7$

therefore

The solutions are the ordered pairs (7,3) and (15,1.4)

3 0

3 years ago

Find the value of x in each case.

pentagon [3]

Answer:

23

Step-by-step explanation:

All triangles = 180 degrees

65 + 4x + x = 180

65 + 5x = 180

- 65 - 65

----------------------

5x = 115

--- = ----

5 = 5

x = 23

4(23) = 92

F = x = 23

B> 65

92 + 23 + 65 = 180

x = 23

F> = B>

3 0

3 years ago

The starting and stopping point for Amir’s run this morning are 0.5 inch apart on the map. If each inch on the map represents 3

Aleonysh [2.5K]

Amir ran 1.5 miles in the morning.

7 0

3 years ago

Read 2 more answers

What is (3x^4+2x^2-6) subtracted from (4x^4+2x^2-6)

Tatiana [17]

Answer:

The answer is -x^4, Good Luck!

Step-by-step explanation:

(3x^4+2x^2-6) - (4x^4+2x^2-6) = -x^4

4 0

3 years ago

5+ x =47;x=52<br><br><br> HELP ME !!!

rusak2 [61]

So 5+x=47
subtract 5 from both sides
x=42
not 52
the answer is 42

3 0

3 years ago