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3 years ago

7 Given: -8(w + 1) = -5(w + 10); Prove: w = 14 Statements

Mathematics

1 answer:

LenKa [72]3 years ago

5 0

Answer:

w=14

Step-by-step explanation:

-8(w + 1) = -5(w + 10)

Remove the parentheses

-8w-8+-5w-50

Move terms

-8w+5w=-50+8

Collect like terms and calculate

-3w=-42

Then divide on both sides

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A figure is broken into a rectangle and a triangle. The triangle has a base of 2 and two-thirds feet and height of 3 feet. The r

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Answer:

$b=2\frac23\:\sf ft$

Area of triangle = 4 ft²

Area of rectangle = $6\frac23\: \sf ft^2$

Area of irregular figure = $10\frac23\: \sf ft^2$

Step-by-step explanation:

$\begin{aligned}\sf Base\:of\:triangle\:(b) & = 5-2\frac13\\\\& = \dfrac{15}{3}-\dfrac73\\\\ & = \dfrac83\\\\ & = 2\frac23\:\sf ft \end{aligned}$

$\begin{aligned}\sf Area\:of\:a\:triangle & =\dfrac12 \sf \times base \times height\\\\& = \dfrac12 \times b \times 3\\\\ & = \dfrac12 \times \dfrac83 \times \dfrac31\\\\ & = \dfrac{24}{6}\\\\ & = 4\: \sf ft^2\end{aligned}$

$\begin{aligned}\sf Area\:of\:rectangle& =\sf length \times width\\\\& = 5 \times 1\frac13\\\\ & = \dfrac51\times \dfrac43\\\\& = \dfrac{20}{3}\\\\ & = 6\frac23\: \sf ft^2\end{aligned}$

$\begin{aligned} \sf Area\:of\:irregular\:figure & = \sf area\:of\:triangle+area\:of\:rectangle\\\\ & = 4 + 6\frac23\\\\ & = 10\frac23\: \sf ft^2\end{aligned}$

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3 years ago

Mariano delivers newspapers. He always puts 3/4 of his weekly earnings in his savings account and then divides the rest equally

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Answer:

a. Fraction of earnings that Mariano put into each piggy bank is 1/12

b. Mariano earns $28.8

Step-by-step explanation:

Mariano divides his earning in a saving account and 3 piggy banks.

First , we have to know the fraction that we divide in the 3 piggy banks.

Piggy banks =Total earning-Saving account

Saving account 3/4,

Total earning is 1

to rest both term we have to get the same denominator , so we can say that the total earning is 4/4

Piggy banks =4/4-3/4=( 4-3)/4=1/4

Piggy banks =1/4

Each piggy bank will be 1/3 of that 1/4

1/3 x 1/4=

For fraction multiplication, multiply the numerators and then multiply the denominators to get

1×1/3×4=1/12

This fraction cannot be reduced.

b. Mariano adds $2.40

1/12 is 2.40

total earning is ?

We use cross-multiplication

a/b=c/d replacing (1/12)/2.40 = 1/ ?

So, the total earning (?) is 1 x 2.40/ (1/12)

= 2.40 x 12=$28.8

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