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3 years ago

Solve by the linear combination method. 8g – 5h = 7 4g + 10h = 1

1 answer:

4 0

In order to combine, you have to multiply the top equation by 2 so you get 8g + 10h = 8 8g - 10h = 4 --------------- 16g = 12 g = 3/4 --> plug it in to solve for h 8(3/4)-10h = 4 6-10h=4 10h=2 h=1/5 Your result: g=3/4, h=1/5

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A bakery the price of the cake is nine dollars more than the price of a pie. One day the bakery sold 8 cakes and 14 pies for a t

gavmur [86]

Answer:

The price of the cake is $24 and the price of the Pie is $15

Step-by-step explanation:

Given

Represent price of Cake with C and Price of Pie with P

$C = 9 + P$

Cakes sold = 8

Pies sold = 14

$Total = \$402$

Required

Determine C and P

To represent the cakes and pies sold, we have the following expression

$8C + 14P = 402$

Substitute 9 + P for C

$8(9+P) + 14P = 402$

Open the bracket

$72 + 8P + 14P = 402$

Collect Like Terms

$8P + 14P = 402 - 72$

$22P= 330$

Divide both sides by 22

$P = \frac{330}{22}$

$P = 15$

Recall that

$C = 9 + P$

$C = 9 + 15$

$C = 24$

Hence, the price of the cake is $24 and the price of the Pie is $15

7 0

3 years ago

Look at the formula for the area of a circle below. . . A = 3.14(pi)r2 . . Which of the following equations can be used to solve

zaharov [31]

You did not include the equations that you want to assess whether they can be used to solve for the radius (r). Likely, the equation of the circumference, C = 2*Pi*r is included, if so => r = C / (2*Pi). If you round Pi to 3.14, the equation may be written r = C / 6.28.

6 0

3 years ago

Increase the product if w and 8 by 15

Sergeu [11.5K]

Answer:

This question is hard to understand

Step-by-step explanation:

(w+8) × 15 ???

7 0

2 years ago

A store is having a sale on trail mix and jelly beans. For 7 pounds of trail mix and 9 pounds of jelly beans, the total cost is

Vlad [161]

Answer:

The cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.

Step-by-step explanation:

Let each pound of trail mix cost $x$ dollars and each pound of jelly beans cost $y$ dollars.

Given:

7 pounds of trail mix and 9 pounds of jelly beans cost $ 37.

So, $7x+9y=37$ --------------- 1

Also, 5 pounds of trail mix and 3 pounds of jelly beans cost $ 17.

So, $5x +3y=17$ --------------- 2

Multiplying equation 2 by -3, we get

$(5x +3y=17)\times -3\\-15x-9y=-51-------- 3$

Now, adding equations 1 and 3, we get

$7x+9y-15x-9y=37-51\\7x-15x=-14\\-8x=-14\\x=\frac{-14}{-8}=\$1.75$

Now, plug in $x=1.75$ in equation 1 and solve for $y$ .

$7(1.75)+9y=37\\12.25+9y=37\\9y=37-12.25\\9y=24.75\\y=\frac{24.75}{9}\\ y=\$2.75$

Therefore, the cost for each pound of trail mix is $ 1.75 and each pound of jelly beans is $ 2.75.

7 0

3 years ago

Quadratic 6X2 + 5X = -7

poizon [28]

Ok, so here your being asked to solve 6x2 + 5x = -7

The procedure that I did was using this formula it led me to get the following:
Using the formula:

x = -(-5) ± √(-5)² - 4(6)(-6)/ 2(6)
x = 5 ± √ 25 + 144 / 12
x = 5 ± √ 169 / 12
x = 5 ± 13/12

x1 = 5 + 13/12
x1 = 18/12
x1 = 3/2

x2 = 5 - 13/12
x2 = -8/12
 x2 = - 2/3

Hope this helped :)

7 0

3 years ago