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2 years ago

11

Simplify the expression

title="6(5 + t) - 3(t + 3)" alt="6(5 + t) - 3(t + 3)" align="absmiddle" class="latex-formula">

1 answer:

Pavel [41]2 years ago

3 0

30+6t - 3t-9
combine 6t and -3t and get 3t
30+3t=-9
subtract 30 on both sides
3t=-39
divide by 3
t=13

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Pam bought 20 pieces of fruit for her class.

Maksim231197 [3]

Answer:

Step-by-step explanation:

Let O=number of oranges and A=number of apples.

O+A=20

O=20-A

1.25A+0.95O=22.60, using O found above makes this become

1.25A+0.95(20-A)=22.60

1.25A+19-0.95A=22.60

0.3A+19=22.60

0.3A=3.6

A=12, since O=20-A

O=20-12

O=8

So she bought 8 oranges and 12 apples. The question really only asks for the number of apples bought.

12 apples were bought.

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2 years ago

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Lisa, Juan and isaac equally shared 1/2 of a cake which fraction of the whole cake did each of them recieve

IgorLugansk [536]

Answer:

Each will receive $\frac{1}{6}th$ of the cake.

Step-by-step explanation:

Let the amount of cake = c

Lisa, Juan and Isaac are the persons who are sharing half of a cake equally.

Number of persons = 3

Part of the cake shared = $\frac{c}{2}$

Fraction of the cake shared by each = $\frac{\text{Amount of cake shared}}{\text{Number of persons who shared}}$

= $\frac{\frac{1}{2}c}{3}$

= $\frac{1}{6}c$

Therefore, fraction of total cake shared by each member will be $\frac{1}{6}$ of the total amount of cake.

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3 years ago

Equation 1: 8x+2y=308x+2y=30

Tems11 [23]

Answer:

Part a) We should try to eliminate the y's because the coefficients are the same

Part b) The solution is the point (6,-9)

Step-by-step explanation:

Part a) Which variable pair should we try to eliminate?

we have

$8x+2y=30$ ----> equation 1

$7x+2y=24$ ----> equation 2

Solve by elimination

We should try to eliminate the y's because the coefficients are the same

Part b) What is the solution to the system?

Multiply equation 2 by -1 both sides

$-1(7x+2y)=-1(24)$

$-7x-2y=-24$ -----> equation 3

Adds equation 1 and equation 3

$8x+2y=30\\-7x-2y=-24\\-------\\8x-7x=30-24\\x=6$

Find the value of y

$8x+2y=30[/tex[tex]8(6)+2y=30$

$2y=30-48$

$y=-9$

The solution is the point (6,-9)

8 0

3 years ago