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satela [25.4K]
3 years ago
7

How far apart are cities A and B in the new map?

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
5 0

Answer:

22.5 miles

Step-by-step explanation:

If 2 inches equal 15 miles then 1 mile equals 7.5 miles. 15/2=7.5

7.5 x 3=22.5 miles.

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Violet contributes 12% of her $55,700 annual salary to her 401(k) plan. What is her pretax income?
NikAS [45]
You have that:

 - Her contribution from her salary <span>to her 401(k) plan, </span>is: 12%.
 - Her annual salary is: $55,700.

 Then, to solve this problem and calculate her pretax income, you must following the steps below:

 1. You must calculate the amount that Violet contributed to her 401(k) plan. So, you have:

 12%/100=0.12

 ($55,700x0.12)=$6,684 

 2. Now, you must subtract her annual pay ($55,700) by the amount obtained ($6,684), as below:

 Pretax income= $55,700-$6,684
<span> Pretax income=$49,016
</span><span>
 What is her pretax income?

 The answer is: Her pretax income is </span>$49,016
7 0
3 years ago
Read 2 more answers
DEF is a dilation image of ABC. What is the scale factor?
horsena [70]

Answer:

Option (2)

Step-by-step explanation:

ΔDEF is a dilation image of ΔABC.

Rule for the dilation,

Scale factor = \frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the original triangle}}

                    = \frac{DE}{AB}

                    = \frac{4}{8}

                    = \frac{1}{2}

Therefore, scale factor by which ΔABC is dilated is \frac{1}{2}.

Option (2) will be the correct option.

7 0
2 years ago
Standard form of a line passing through points (1, 3) and (-2, 5)
____ [38]

Answer:

<h2>2x + 3y = 33 </h2>

Step-by-step explanation:

As we move from (-2, 5) to (1, 3), x increases by 3 and y decreases by 2.

Hence, the slope of this line is m = rise / run = -2/3.

Start with the slope-intercept form y = mx + b.

Substitute 3 for y and 1 for x and -2/3 for m:

3 = (-2/3)(1) + b.

Remove fractions by mult. all three terms by 3:

9 = -2 + b, so b = 11, and y = (-2/3)x + 11

Again, mult. all three terms by 3:

3y = -2x + 33, or, in standard form,

<h2>2x + 3y = 33 </h2>
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3 years ago
Lara makes the following statement: "There is an 80% chance of rain tomorrow and a 10% chance I will go to the park." What is th
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35% chance is my estimation
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3 years ago
Select the equation that most accurately depicts the word problem.
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One half of a certain number is 95 is depicted by <span>1/2 · n = 95</span>
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