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3 years ago

How much more does the student need to save to buy the laptop

Mathematics

1 answer:

Harrizon [31]3 years ago

6 0

Answer:

Step-by-step explanation:

Starting amount = 307.50

1 month saving = 100

5 month saving = 5*100 <u> 500.00</u>

<u />

Total so far 807.50

Let the total amount be x

75% *x = 807.50

75/100 x = 807,59 Multiply both sides by 100

75 x = 807.50 * 100

75 x = 80750 Divide by 75.

x = 80750 / 75

x = 1076.67

That is not the answer. That's the total cost of the laptop.

The amount needed is

Amount needed = Total Cost - what has been saved

Amount needed = ????

Total Cost = 1076.67

What has been saved = 807.50

Answer

Amount needed = 1076.67 - 807.50 = 269.17

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Caleb has 20 more books than Danica. If Caleb gives Danica half of his books, Danica will have 4 more books than Caleb. How many

wariber [46]

Answer:

Option E: 24.

Step-by-step explanation:

When Caleb (C) has 20 more books than Danica (D), we have:

$C = 20 + D$ (1)

Now, when Caleb gives Danica half of his books:

$C' = C - \frac{C}{2}$ (2)

Danica will have 4 more books than Caleb, so:

$D' = D + \frac{C}{2}$ (3)

Also we have that:

$D' = C' + 4$ (4)

By entering equation (2) and equation (3) into equation (4) we have:

$D + \frac{C}{2} = C - \frac{C}{2} + 4$ (5)

From (1) we have:

$D = C - 20$ (6)

By entering (6) into (5):

$C - 20 + \frac{C}{2} = C - \frac{C}{2} + 4$

$C = 24$

And, from (6):

$D = C - 20 = 24 - 20 = 4$

Therefore, the correct option is E, Caleb had to start with 24 books.

I hope it helps you!

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4 years ago

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uranmaximum [27]

Answer:

Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Two less than the quotient of a number and 3 is 17. What is the number? Let n be the unknown number. The equation is . The numbe

nekit [7.7K]

Answer:

the equation is (n/3) - 2 = 17

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Step-by-step explanation:

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3 years ago

What is the difference?

Whitepunk [10]

Answer:

$\frac{x^2+3x -12}{(x-5) (x +3)(x+7)}$

Step-by-step explanation:

Given

$\frac{x}{x^2-2x-15} - \frac{4}{x^2+2x-35}$

Required

Calculate the difference

We start by factorizing the denominator of both fractions

$\frac{x}{x^2-2x-15} - \frac{4}{x^2+2x-35}$

$\frac{x}{x^2+3x - 5x -15} - \frac{4}{x^2+7x - 5x-35}$

$\frac{x}{x(x+3) - 5(x +3)} - \frac{4}{x(x+7) - 5(x+7)}$

$\frac{x}{(x-5) (x +3)} - \frac{4}{(x-5)(x+7)}$

Take LCM

$\frac{x(x+7) - 4(x +3)}{(x-5) (x +3)(x+7)}$

Open Brackets

$\frac{x^2+7x - 4x -12}{(x-5) (x +3)(x+7)}$

$\frac{x^2+3x -12}{(x-5) (x +3)(x+7)}$

This can't be simplified any further;

4 0

3 years ago