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nataly862011 [7]
3 years ago
15

At the bank, Sheila made 6 deposits, each in the same amount. Her sister Sherri made 5 deposits, each in the same amount. Each o

f Sherri's deposits was $10 more than each deposit Sheila made. Both sisters deposited the same amount in the end. How much did each sister deposit each time?
Write an equation. Let x represent the amount of one of Sheila’s deposits.

- Solve the equation. Show your work.
- Check your solution. Show your work.
- State the solution in complete sentences.
Mathematics
1 answer:
RSB [31]3 years ago
4 0
<span>TLDR: Equation is 5(10 + x) = 6x. x = 50, so Sheila deposited $50 each 6 trips. Sherri deposited $60 each 5 trips. Both of them deposited $300 in total.

</span>Sherri deposited $10 more into her bank account than Sheila each 5 times. Expression: 5(x + 10). 

Sheila deposited money 6 times
Expression: (6)(x) or 6x

Put it all together and the equation is 5(x+10)=6x. 

Solve by distributing the 5 on the right side of the equation 5(x+10) to get 5x + 50 = 6x. Subtract 5x on both sides of equation. 5x - 5x + 50 = 6x - 5x to get 50 = 1x. Divide by 1 on each side to isolate the variable. x = 50. Sheila paid $50 in each of her 6 deposits, so she deposited $300 in total. Check the equation by replacing x with 50. 

Sherri paid $60 in each of her 5 deposits because 50 + 10 is 60. 60 by 5 is also $300. 
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2 years ago
Alicia earned d dollars baby-sitting. Her friend earned twice as much. You earned $2 less than Alicia's friend earned. Write an
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Answer:

Total = \$5d - 2

Step-by-step explanation:

Represent Alice with A, her friend with F and you with Y.

From the question, we have:

A = \$d

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Required

Determine the total amount

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Total = A + F + Y

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4 0
3 years ago
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iragen [17]

Answer:

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\sf (-3, \infty)

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Domain: input values (x-values)

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A function is increasing when its graph rises from left to right.

The graph of a quadratic function is a parabola.  If the leading term is positive, the parabola opens upwards.  The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.

<u>Vertex</u>

Standard form of quadratic equation:  \sf y=ax^2+bx+c

\textsf{x-value of vertex}=\sf -\dfrac{b}{2a}

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\sf y=x^2+6x

Therefore, x-value of function's vertex:

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The function is increasing when x > -3

\sf (-3, \infty)

4 0
2 years ago
How do you do this problem?
sertanlavr [38]

2x2x2 = 8

How many 2s are there?

3 so the answer is 3

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3 years ago
Read 2 more answers
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