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4 years ago

(SHOW YOUR WORK PLEASE)

Mathematics

1 answer:

Anestetic [448]4 years ago

4 0

Answer:

The original distance between Dallas and Houston is 240 miles.

Step-by-step explanation:

The scale on a map is 1 cm = 50 miles.

That means, 1 cm length in the drawing is equivalent to 50 miles original distance.

We have to find the actual distance between Dallas and Houston, which are 4.8 cm distant on the map.

So, 4.8 cm length in the drawing will be equivalent to (50 × 4.8) = 240 miles.

Therefore, the original distance between Dallas and Houston is 240 miles. (Answer)

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Find the value of a and explain

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Step-by-step explanation:

The triangle is an isosceles triangle which means that two sides are the same, A is the same size of the equal side so A is D.

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If 7 p − 4 = 8 , 7p−4=8, what is the value of p ?

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Hello!

Let's solve our equation below.

7p-4=8

First we add 4 to both sides.

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I hope this helps!

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Katie invests $5,000 in an account earning 4% interest, compounded annually for 5 years. Two years after Katie's initial investm

Lyrx [107]

Emily earned $166 more in her account than Katie.

We use the compound interest formula for both of these:

$A=p(1+r)^t$

For Katie's deposit:
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This gives Katie 6083.26-5000 = 1083.26 in interest (1083, to the nearest dollar).

For Emily's deposit:
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3 years ago

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Rectangle A measures 9inches by 3 inches, rectangle B is a scaled copy of rectangle A . What are all the measurements pairs that

Tanzania [10]

Answer:

Dimensions of Rectangle B will be 9x inches by 3x inches where x is a scaling factor.

Step-by-step explanation:

Scaled Copy: It means that the rectangle A is related to rectangle B by some scaling (multiplying) factor x.

As we are given Dimensions of rectangle A = 9 inches by 3 inches

Then for any scaling factor x the dimensions of rectangle B will be:

Dimensions of Rectangle B = x * ( Dimensions of rectangle A)

Dimension of rectangle B = x * (9 inches by 3 inches)

Dimensions of rectangle B = 9x inches by 3x inches

For more understanding let we assume that rectangle B is scaled copy of rectangle A by scaling factor x=3; then we will have the dimensions of rectangle B as under:

For scaling factor (x) = 3;

Dimensions of Rectangle B = x * ( Dimensions of rectangle A)

Dimensions of rectangle B = 3 (9 inches by 3 inches)

Dimensions of rectangle B = 27 inches by 9 inches

On the other hand for scaling factor x=0.75, the dimensions of rectangle B will become as under;

Dimensions of Rectangle B = x * ( Dimensions of rectangle A)

Dimensions of rectangle B = 0.75 (9 inches by 3 inches)

Dimensions of rectangle B = 6.75 inches by 2.25 inches

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