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mina [271]
3 years ago
15

In the first 3 3/4 hours of a marathon, Susan ran at an average speed of

Mathematics
1 answer:
AfilCa [17]3 years ago
5 0

Answer:

0.125 miles per minute

Step-by-step explanation:

ran 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds How to calculate running speed. Divide your run distance by your run time; If you ran 2.5 miles and you ran for 20 minutes: 2.5 mi ÷ 20 min = 0.125 miles per minute

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A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side
crimeas [40]

The area of the prism is 12x² inches². Thus, the correct option is B.

<h3>What is a triangular prism?</h3>

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

For a prism, the lateral sides of a prism are made up of rectangles which consist of the height and the length of the base. Therefore, a triangular prism has an equilateral base with a side length x inches. The height of the prism is four times as long as the side length. The lateral area will be,

Lateral Area = 3(x×4x) = 12x² inches²

Hence, the area of the prism is 12x² inches². Thus, the correct option is B.

Learn more about the Lateral surface area of triangular prisms:

brainly.com/question/15434771

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5 0
2 years ago
Let a(−9, 4) and b(3, −12) be points in the plane. (a) find the slope of the line that contains a and
Andrews [41]
The answer would be m= -4/3
3 0
3 years ago
What is mathematical model
serg [7]
Mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling.
3 0
3 years ago
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Sherri got a new job as a teacher for the local school. Her rent is going to be 40% of her income, she will save 10% each month,
Xelga [282]

Answer:

The mistake she is making is that she is making less than she is spending

Step-by-step explanation:

Step 1: Determine her total income

Let her total income be x

Step 2: Determine amount of each expense

The amount of each expense can be expressed;

Amount of each expense=percentage of total expense×total income

a). Rent

percentage expense on rent=40%

total income=x

Amount of rent=(40/100)×x=0.4 x

b). Savings

percentage expense on savings=10%

Amount of savings=(10/100)×x=0.1 x

c). Fixed expenses

percentage fixed expense=40%

Amount of fixed expenses=(40/100)×x=0.4 x

d). Flexible expenses

percentage flexible expense=20%

Amount of flexible expenses=(20/100)×x=0.2 x

Step 3: Calculate total expenses

Total expenses=Amount of flexible expenses+fixed expenses+amount of savings+amount of rent

replacing;

Total expenses=(0.2 x+0.4 x+0.1 x+0.4 x)=1.1 x

Step 4: Get remaining amount of her income

Net income=(x-1.1 x)=-0.1 x

This means that her expenses exceed her income by -0.1 x. The mistake she is making is that she is making less than she is spending

5 0
3 years ago
Can someone plzzzzzzz help me
Paraphin [41]

Answer:

it the last one

Step-by-step explanation:

only the last option has all the possible combinations

7 0
3 years ago
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