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dedylja [7]
2 years ago
6

Peyton is three years younger than Justin. Matt is four times as old as Peyton. If you add together the ages of Justin, Peyton a

nd Matt, the total comes to 39 years. How old are Justin, Peyton and Matt? I need to find the equation
Mathematics
2 answers:
Soloha48 [4]2 years ago
6 0
J + p + m = 39
m = 4p ....m = 4(j - 3)....m = 4j - 12
p = j - 3

j + j - 3 + 4j - 12 = 39
6j - 15 = 39
6j = 39 + 15
6j = 54
j = 54/6
j = 9 <== justin

m = 4j - 12
m = 4(9) - 12
m = 36 - 12
m = 24 <=== matt

p = j - 3
p = 9 - 3
p = 6 <===peyton
astra-53 [7]2 years ago
5 0
Peyton is 28 years old

Justin is 7 years old 

Matt is 4 years old 

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Jenna offers regular haircuts for $25 and haircuts plus coloring for $42.This weekend had a total of 24 clients and Jenna earned
shepuryov [24]
<u><em>Answer:</em></u>
Jenna did 16 regular haircuts
Jenna did 8 haircuts with coloring

<u><em>Explanation:</em></u>
Assume that the number of regular haircuts is x and the number of haircuts plus coloring is y

<u>We are given that:</u>
<u>1- Jenna did a total of 24 clients, this means that:</u>
x + y = 24
This can be rewritten as:
x = 24 - y ...............> equation I

<u>2- regular haircuts cost $25, haircuts plus coloring cost $42 and she earned a total of $736. This means that:</u>
25x + 42y = 736 ..........> equation II

<u>Substitute with equation I in equation II and solve for y as follows:</u>
25x + 42y = 736
25(24-y) + 42y = 736
600 - 25y + 42y = 736
17y = 136
y = 8

<u>Substitute with y in equation I to get x as follows:</u>
x = 24 - y
x = 24 - 8
x = 16

<u>Based on the above:</u>
Jenna did 16 regular haircuts
Jenna did 8 haircuts with coloring

Hope this helps :)
5 0
2 years ago
Define a function sinc(x) (pronounced "sink of x") by: text(sinc)(x)={(sin(x)/x text(if)\ x != 0, 1 text(if)\ x = 0.) (This func
gayaneshka [121]

Answer:

Step-by-step explanation:

To find the Taylor series of sinc(x) we will use the taylor series of sin(x). We have that

\sin(x) = \sum_{n=0}^{\infty}\frac{(-1)^n x^{2n+1}}{(2n+1)!}

which is the taylor series expansion based at 0. Then for x\neq 0, by dividing both sidex by x, we have that

\text{sinc}(x) = \frac{\sin(x)}{x}= \sum_{n=0}^{\infty}\frac{(-1)^n x^{2n}}{(2n+1)!}

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3 0
2 years ago
ken purchased a plot of land shaped like the figure shown. how can he find the length of the side labeled x if he knows the area
OLga [1]
What figure?  anyways if it is a square you simply square root the area. EX: A=81 S=9
it it is a rectangle, you must know the other side before dividing
and so on
sorry I couldn't see the figure
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2 years ago
Simplify: left parenthesis minus 2 x to the power of 4 y to the power of 3 right parenthesis to the power of 2 left parenthesis
Ulleksa [173]
The answer to your question is
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Leah decided to paint some of the rooms at her 51-room hotel. She needs 1/5 of a can of paint per room. If Leah had 6 cans of pa
netineya [11]

Answer:

Leah can paint 30 rooms.

Step-by-step explanation:

Each room requires \dfrac{1}{5} of a can of paint, this means painting 5 rooms requires

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or 1 can paints 5 rooms.

So, if Leah has 6 cans of paint, then how many rooms can she paint?

Leah can paint

\dfrac{5\:rooms}{can} *6\:cans=\boxed{30\: rooms}

Leah can paint 30 rooms with 6 cans of paint.

5 0
2 years ago
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