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3 years ago

8

Supposed that you balance your checkbook and find that you are overdrawn by $20; that is, your balance is -$20. Then you go to t

he bank and deposit $38. Translate this situation into an addition problem, the answer to which gives the new balance in your checkbook. Give the final balance below.
The New Balance is _____?

1 answer:

FrozenT [24]3 years ago

5 0

Answer:

The balance is $18.

Step-by-step explanation:

You are in the negatives so you want to add so that your balance is positive.

1. -20 + 38 = x

x will be the variable that will be the final balance.

2. 18 = x

If you put this on a number line, you will see that when you add 38 to -20, your balance becomes 18. Therefore, your answer is 18.

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Monica [59]

Answer:

13 m. wide

Step-by-step explanation:

It is 13 because when 10 goes to 13 you add 3 so you add 3 to the other one

13 + 3 = 16 so then you multiply both of them together

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Therefore the answer is 13 m. wide

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3 years ago

Please help! Will mark as brainliest!

Cloud [144]

Answer:

x=10 and y=15

Step-by-step explanation:

1: Plug y into the equation

y=2x-5

5x-4(2x-5)=-10

2: Solve for x

-3x=-30

<em><u>x=10</u></em>

3: Plug x into the other equation

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y=2(10)-5

4: Solve for y

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3 years ago

Find the next three terms of the sequence 80, –160, 320, –640

serious [3.7K]

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Step-by-step explanation:

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3 years ago

Jordan was given the expression 2x2^-3 x 2^-5 How should he write the expression as a fraction? Describe the exponent rules Jord

mariarad [96]

Answer:

$2*2^{-3} * 2^{-5} =\frac{1}{128}$

Step-by-step explanation:

Given

$2*2^{-3} * 2^{-5}$

Required

Write as a fraction

To do this, Jordan has to apply the following rules

<u>Negative Exponent rule:</u>

$a^{-m} = \frac{1}{a^m}$

<u>So, the expression is:</u>

$2*2^{-3} * 2^{-5} = \frac{2}{2^3 * 2^5}$

<u>To solve further, we apply the product rule of exponent</u>

$a^m * a^n = a^{m+n}$

<u>So, the expression is:</u>

$2*2^{-3} * 2^{-5} =\frac{2}{2^{3+5}}$

$2*2^{-3} * 2^{-5} =\frac{2}{2^8}$

<u></u>

<u>Evaluate the exponents</u>

$2*2^{-3} * 2^{-5} =\frac{2}{256}$

<u>Divide the numerator and denominator by 2</u>

$2*2^{-3} * 2^{-5} =\frac{2/2}{256/2}$

$2*2^{-3} * 2^{-5} =\frac{1}{128}$

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3 years ago

The dimensions of a rectangular prism are shown below. Length 1 1/3 feet Width 1 foot length 2 1/3 feet. The lengths of the side

zysi [14]

Answer:

84 cubes

Step-by-step explanation:

Given,

The dimension of the rectangular prism are,

$1\frac{1}{3}\text{ ft }\times 1\text{ ft }\times 2\frac{1}{3}\text{ ft }$

Hence, the volume of the prism,

$V=1\frac{1}{3}\times 1\times 2\frac{1}{3}$

$=\frac{4}{3}\times \frac{7}{3}$

$=\frac{28}{9}\text{ cube ft}$

Now, the volume of a cube = side³,

If side = $\frac{1}{3}$ ft,

Then the volume of each cube,

$V'=(\frac{1}{3})^3=\frac{1}{27}\text{ cube ft}$

Hence, the number of cubes that can be packet in the prism

$=\frac{V}{V'}$

$=\frac{28/9}{1/27}$

$=\frac{27\times 28}{9}$

$=3\times 28$

$=84$

8 0

3 years ago