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zhuklara [117]
2 years ago
5

Heather and Alyssa are saving money for summer break. Heather currently has $50 in her savings account and she will save $25 per

week until summer break. Alyssa currently has $200 in her savings account and she will save $10 per week. They want to know when they will have the same amount of money in their bank accounts. Which system of equations represents this situation?
Mathematics
2 answers:
atroni [7]2 years ago
7 0

Answer:

10 weeks, Substituion Equation.

Step-by-step explanation:

(Assume that x= 'per week').

We can write this as 50 + 25x=y for Heather's savings, &

                               200 + 10x=y for Alssa's savings.

We can combine these equations to make 200 +10x= 50+25x, because we know 50+25x=y, like we found out in the first equation. We can now subtract 25x from each side, and subtarct 200 from each side, to get

10x - 25x = 50 - 200, which can be simplified to -15x=-150. If we divided each side by -15, we get 10. Therefore, it will take 10 weeks for them to have the same amount of money. I think this is the Substituaion Equation

Setler79 [48]2 years ago
4 0

Answer:

Tilt your head back and allow your mouth to hang open widely.

Contract the back of the throat and breathe deeply through your mouth.

Inhale and exhale completely while relaxing the shoulders.

When the yawn comes “reach and extend into it” to stretch the jaw muscles.

Step-by-step explanation:

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Answer:

20 is the answer for the question

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Nate is exponentially gaining Twitter followers! His current amount of followers is 146. His followers are increasing at a 24% r
tia_tia [17]

Answer:

(a) Growth

(b)\ y = 146(1.24)^x

Step-by-step explanation:

Given

a= 146 -- current

r = 24\% --- rate

Solving (a): Growth or decay

The question says his followers increases each day by 24%.

Increment means growth.

<em />

<em>Hence, it is a growth problem</em>

Solving (b): Equation to represent the scenario.

Since the rate represents growth, the equation is:

y = a(1 + r)^x

Substitute: a= 146 and r = 24\%

y = 146 * (1 + 24\%)^x

y = 146 * (1 + 0.24)^x

y = 146 * (1.24)^x

y = 146(1.24)^x

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What is the academy award figurine holding in his hands?
Valentin [98]
I believe it is holding a crusaders sword
5 0
3 years ago
Factor by grouping<img src="https://tex.z-dn.net/?f=%284y%5E3%20%2B%2028y%5E2%29%20%2B%20%28y%20%2B%207%29" id="TexFormula1" tit
Inessa05 [86]

We have the following expression given:

(4y^3+28y^2)+(y+7)

We can start selecting as common factor 4y^2 and we got:

4y^2(y+7)+(y+7)

Now we can select y+7 as common factor and we got:

(y+7)\left\lbrack 4y^2+1\right\rbrack

So then our final answer would be:

(y+7)(4y^2+1)

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1 year ago
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