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3 years ago

Kevin can travel 22 1/2 miles in 1/3 hour .What is the average speed in miles per hour?

1 answer:

8 0

You can choose to answer this with fractions or decimals. I'll choose fractions because we won't need calculators. 22 1/2 miles "in" 1/3 hour, means 22 1/2 mi divided by 1/3 hour.
22 1/2 = [(22×2) + 1] ÷ 2 = 45/2
So (45/2)mi ÷ (1/3)hr is the same as (45/2) × (3/1), or (45×3)/2 = 135/2, which is 67 1/2, or 67.5 mi/hr (mph).

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12 men working 8 hours a day complete a piece of work in 10 days to complete a the same work in 8 days working 15 hours a days t

daser333 [38]

12 men : 8 hours : 10 days

// Find if every man works 1 hour

12 x 8 men : 1 hour : 10 days

96 men : 1 hour : 10 days

//Find if every man works 15 hours

96 ÷ 15 men : 15 hours : 10 days

6.4 men : 15 hours : 10 days

//Find if every man works 1 day

6.4 x 10 men : 15 hours : 1 day

64 men : 15 hours : 1 day

//Find if every man works 8 days

64 ÷ 8 men : 15 hours : 8 days

8 men : 15 hours : 8 days

Answer: 8 men is needed

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3 years ago

PLEASE HELP, MATH, PLEASE<br>Solve for n: n+5/16 = -1

Anit [1.1K]

$\tt Step-by-step~explanation:$

To solve for n, we have to isolate n. To do so, we move all the terms that are not n to one side of the equation, and leave n on the other side.

$\tt Steps:$

Equation: n + 5/16 = -1

Subtract 5/16 on both sides to bring it to the right side of the equation.

$\tt n+5/16-5/16=-1-5/16\\\\n=-\frac{21}{16}~or~-1\frac{5}{16}$

$\Large\boxed{\tt Our~final~answer:~n=-\frac{21}{16}~or~-1\frac{5}{16} }$

3 0

2 years ago

If $x$ is the average of $13$, $-16$, and $6$ and if $y$ is the cube root of $8$, find $x^2 + y^3$. Please Help

Alekssandra [29.7K]

Answer:

If we have a set of N elements:

{x₁, x₂, ..., xₙ}

The mean value (also called the average value) Is calculated as:

Average = (x₁ + x₂ + ... + xₙ)/n

So if x is the average of 13, -16 and 6 ( a total of 3 values)

x will be equal to:

x = (13 + (-16) + 6)/3 = (19 - 16)/3 = 3/3 = 1

x = 1

And we know that:

y = ∛8

Remember that:

2*2 = 4

and

4*2 = 8

then

2*2*2 = 2^3 = 8

then ∛8 = 2.

So we have:

y = ∛8 = 2

Now we can replace these values in the equation:

x^2 + y^3

replacing:

x = 1

y = 2

we get:

1^2 + 2^3 = 1 + 8 = 9

5 0

2 years ago

For the polynomial 17x2 – x: (3 marks)

Sladkaya [172]

Answer:

See below

Step-by-step explanation:

Given polynomial is: $17x^2 - x$

a. Terms: $17x^2, \: \&\: - x$

b. 17 and - 1

c. Binomial or quadratic polynomial

7 0

3 years ago

I NEED HELP ASAP IT IS DUE AT MIDNIGHT PLEASEEEEEE!!!!

IgorC [24]

Answer:

A = -2.2

B = -1.7

C = 1.87

D = 19.97

Step-by-step explanation:

A = 7.4 - 9.6 = -2.2

B = -2.2 + 0.5 = -1.7

C = -1.1(-1.7) = 1.87

D = 18.1 + 1.87 = 19.97

3 0

2 years ago

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