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3 years ago

A cyclist covers a distance of 15 miles in 2 hours. Calculate his speed.

Mathematics

2 answers:

Neporo4naja [7]3 years ago

8 0

Answer:

7.5mph

Step-by-step explanation:

Speed = Distance / Time

Speed = 15 ÷ 2

Speed = 7.5 mph

Sauron [17]3 years ago

5 0

The formula for speed is s = d ÷ t, or speed equals distance divided by time.

Divide the cyclist's distance by his time.

15 ÷ 2 = 7.5

<h2>Answer:</h2>

<u>The cyclist's speed is </u><u>7.5 mph</u><u>.</u>

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(HELP ASAP PLEASE!!)

olasank [31]

Answer:

Shirts = $7

Shorts $17

Step-by-step explanation:

Let:

T - shirts

S - shorts

We can make two equations out of this problem:

4T + 3S = $79

7T + 8S = $185

Through substitution we can solve for one of the unknowns. We make one equation to solve for an unknown

$4T+3S=\$79\\\\3S = \$79-4T\\\\S=\dfrac{\$79-4T}{3}$

We use the formula of S and insert it into the other equation:

$7T+8(\dfrac{\$79-4T}{3}) = \$185\\\\7T + \dfrac{\$632-32T}{3}=\$185\\\\\dfrac{\$632-32T}{3}=\$185-7T\\\\\$632-32T=3(\$185-7T)\\\\$632-32T=\$555 - 21T\\\\-32T+21T=\$555-\$632\\\\-11T=-\$77\\\\\dfrac{-11T}{11}=\dfrac{-\$77}{11}\\\\T = \$7$

Thus T-shirts are $7 each.

Now that we know T, we can use it to solve for the other unknown. You can use it on any of the formulas.

$4T+3S=\$79\\\\4(\$7) + 3S = \$79\\\\\$28+3S =\$79\\\\3S=\$79-\$28\\\\3S=\$51\\\\S=\dfrac{\$51}{3}\\\\S = \$17$

We know then that Shorts are $17 each.

7 0

3 years ago

Evaluate the expression for a = 5, b = 11, and c = 3. 2a + 2c(b − 5) A. 64 B. 46 C. 54 D. 163

Artemon [7]

2a +2c(b-5)

substitute a=5 b=11 c=3

2(5) +2(3) (11-5)

10+6(6)

10+36

Choice B

8 0

3 years ago

In the diagram, the measure of angle 8 is 124°, and the measure of angle 2 is 84°.

Margaret [11]

m∠8 + m∠7 = 180°

therefore

m∠7 = 180° - m∠8

m∠8 = 124°

substitute:

m∠7 = 180° - 124° = 56°

Answer: 56 degrees

6 0

3 years ago

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Answer:

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Step-by-step explanation:

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