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xxTIMURxx [149]

1 year ago

8

Taylor's family took a road trip to Mount Rushmore. Taylor slept through the last 21% of the trip. If Taylor fell asleep after t

hey had travelled 711 miles, what was the total length of the trip?

1 answer:

lesantik [10]1 year ago

6 0

The total length of the trip is the number of miles in the trip

The total length of the trip is 974 miles

<h3>How to determine the total length?</h3>

The given parameters are:

Proportion of sleep = 21%
Distance awake = 711 miles

If Taylor sleeps for 21% of the trip, then Taylor was awake for 79% of the trip

Represent the total length of the trip with T.

So, we have:

73% * T = 711 miles

Divide both sides by 73%

T = 974 miles

Hence, the total length of the trip is 974 miles

Read more about lengths at:

brainly.com/question/24487155

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What are three ratios equal to 4 over 28 .simplify if needed?

SVETLANKA909090 [29]

4/28 = 1/7 when dividing both numerator & denominator by 4 and this would be the simplified fraction.

You could use 1/7 to multiply with others to get other ratios that are equal to 4/28 or you could just use 4/28.

For example:
1/7 = 7/49
or
4/28 = 8/56

6 0

3 years ago

The market price of a house is directly proportional to the total area of the house in square feet. If the price of a 1,500 squa

IrinaK [193]

Answer:

The price of a 2,000 square foot home is $\$400,000$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

Let

x -----> the total area of the house in square feet

y -----> the price of the house

we have

The point (1,500,300,000)

Find the constant of proportionality k

$k=y/x$

substitute

$k=300,000/1,500=200$

The direct equation is equal to

$y=200x$

so

For $x=2,000\ ft^{2}$

Find the value of y

substitute the value of x in the equation

$y=200(2,000)$

$y=\$400,000$

5 0

3 years ago

If a₁ = 4 and an = 5an-1 then find the value of a5.

igor_vitrenko [27]

The value of $a_{5}$ is 2500, when $a_{1}=4$ and $5a_{n-1}$ .

Given that, $a_{1}=4$ and $5a_{n-1}$ .

We need to find the value of $a_{5}$ .

<h3>What is an arithmetic sequence?</h3>

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Now, to find the value of $a_{5}$ :

$a_{2} =5a_{2-1}=5a_{1}=5 \times4=20$

$a_{3} =5a_{3-1}=5a_{2}=5 \times20=100$

$a_{4} =5a_{4-1}=5a_{3}=5 \times100=500$

$a_{5} =5a_{5-1}=5a_{4}=5 \times500=2500$

Therefore, the value of $a_{5}$ is 2500.

To learn more about arithmetic sequence visit:

brainly.com/question/15412619.

#SPJ1

5 0

2 years ago

8/7=x/5 what is the value of x round to the nearest tenth

faust18 [17]

Answer:

<h2>x = 5.7</h2>

Step-by-step explanation:

$\frac{8}{7} = \frac{x}{5}$

To find x first cross multiply

We have

7x = 8 × 5

7x = 40

Divide both sides by 7

That's

$\frac{7x}{7} = \frac{40}{7}$

$x = \frac{40}{7}$

x = 5.7142

We have the final answer as

<h3>x = 5.7 to the nearest tenth</h3>

Hope this helps you

7 0

3 years ago

Read 2 more answers

Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each student either likes o

spayn [35]

Answer: There are 32 students who like brussels sprouts but dislike beans.

Step-by-step explanation:

Since we have given that

Number of students eat in the cafeteria = 120

Fraction dislike lime beans = $\dfrac{2}{3}$

Fraction who dislike lime beans and brussles sprouts both = $\dfrac{2}{3}\times \dfrac{3}{5}$

Fraction who dislikes lime beans but not brussles is given by

$\dfrac{2}{3}(1-\dfrac{3}{5})\\\\=\dfrac{2}{3}\times \dfrac{2}{5}\\\\=\dfrac{4}{15}$

So, Number of students who like brussels sprouts but dislike lima beans is given by

$\dfrac{4}{15}\times 120\\\\=32$

Hence, there are 32 students who like brussels sprouts but dislike beans.

7 0

3 years ago