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3 years ago

Jenny made $315.25 for 8 hours of work. How much would Jenny make for 40 hours of work

1 answer:

6 0

If Jenny made $315.25 for 8 hours of work:

Then it means that she made:
$312.25/8 hours = $39.41 per hour.

If Jenny works for 40 hours, then she will make:

40 hours × $39.41 = $1,576.25

Please mark my answers as the Brainliest if you find my explanations/solution helpful :)

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What is the value of x for which (8-x)^2=x^2

I am Lyosha [343]

Answer:

x = 4

Step-by-step explanation:

${x}^{2} = {(8 - x)}^{2}$

$= > {x}^{2} = {x}^{2} - 16x + 64$

$= > {x}^{2} - {x}^{2} + 16x = 64$

$= > 16x = 64$

$= > x = \frac{64}{16} = 4$

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3 years ago

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12. Name the property the equation illustrates.

Vesnalui [34]

the answer is A. the commutative property of addition. this property states that no matter what order you put the numbers, the outcome will be the same.

Hope this helps!

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3 years ago

A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag

Sveta_85 [38]

Answer:

$\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

$\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s$

where B stands for Base area

and P for Base Parimeter

$\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s$

now we need our algebraic skills to figure out s

simplify parentheses:

$\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144$

reduce fraction:

$\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32} \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144$

simplify multiplication:

$\displaystyle \: 16s + 64 = 144$

cancel 64 from both sides;

$\displaystyle \: 16s = 80$

divide both sides by 16:

$\displaystyle \: \therefore \: s = 5$

now we'll use Pythagoras theorem to figure out height

according to the theorem

$\displaystyle \: {h}^{2} + (\frac{l}{2} {)}^{2} = {s}^{2}$

substitute the value of l and s:

$\displaystyle \: {h}^{2} + (\frac{8}{2} {)}^{2} = {5}^{2}$

simplify parentheses:

$\displaystyle \: {h}^{2} + (4 {)}^{2} = {5}^{2}$

simplify squares:

$\displaystyle \: {h}^{2} + 16 = 25$

cancel 16 from both sides:

$\displaystyle \: {h}^{2} = 9$

square root both sides:

$\displaystyle \: \therefore \: {h}^{} = 3$

recall the formula of a square pyramid

$\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h$

where A stands for Base area (l²)

substitute the value of h and l:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times \{8 \times 8 \}\times 3$

simplify multiplication:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times 64\times 3$

reduce fraction:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times 64\times \cancel{ \: 3}$

hence,

$\sf\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

8 0

3 years ago

What is the x intercept of the line below?

maw [93]

Answer:

No x-intercept

Step-by-step explanation:

When there's an equation that has no x then it will not touch the x axis.

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3 years ago

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A pineapple has 9 grams of sugar per slice.

s2008m [1.1K]

Watermelon Is Correct Cos A Slice Of Pineapple Has 16 Grams Of Sugar But A Slice Of Watermelon Has 18 Grams

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3 years ago