Solve for y for both equations then equate and solve:

5x + 9y = 160
9y = 160 - 5x
y = 160/9 - 5/9x

9x + 8y = 202
8y = 202 - 9x
y = 202/8 - 9/8x

160/9 - 5/9x = 202/8 - 9/8x (common denominator is 72)

1280/72 - 40/72x = 1818/72 - 81/72x
1818/72 - 1280/72 = 81/72x - 40/72x
538/72 = 41/72x
538 = 41x
538/41 = x
x = 13 5/41

3 0

2 years ago

Solve. A kettle is sold profit equal to one -fourth of its cost price .find the profit percentage.

LuckyWell [14K]

Answer:

25%

Step-by-step explanation:

1/4 is equal to 25%

you divide 1 divided by 4 which equals 0.25 which is 25$

Hope this helps! :D

3 0

3 years ago

"Bert has half as much money as Ernie. If Ernie loses $225 and Bert earns $675, Bert will have twice as much money as Ernie. How

Rzqust [24]

Answer: Ernie has $750 and Bert has $\dfrac{750}{2}=\$375$

Step-by-step explanation:

Let the amount that Ernie has be 'x'.

Let the amount that Bert has be $\dfrac{x}{2}$

Amount lost by Ernie = $225

Amount gained by Bert = $675

According to question, we get that

$2(x-225)=\dfrac{x}{2}+675\\\\2x-450=\dfrac{x}{2}+675\\\\2x-\dfrac{x}{2}=675+450\\\\\dfrac{4x-x}{2}=1125\\\\\dfrac{3x}{2}=1125\\\\x=\dfrac{1125\times 2}{3}\\\\x=\$750$

Hence, Ernie has $750 and Bert has $\dfrac{750}{2}=\$375$

3 0

2 years ago

Which is an equation of the line with x-intercept 2 and y-intercept 12?

Liula [17]

Your answer should be y=2x+12

5 0

3 years ago