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3 years ago

Write the ratio as a fraction in simplest form. (Remember to use the same unit.)

1 answer:

3 0

We shall use yards as the unit here.. 3 feet is 1 yard, so we know that the ratio is now 1 yard to 7 yards. We can't reduce this anymore, so this is the final ratio.

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The distance from Fort Worth to Fresno is 1,530 miles. If a cyclist maintains an average speed of 17 miles per hour, how many ho

Tju [1.3M]

The time take for the cyclist to travel from Fort Worth to Fresno is $90 \ hours$

Explanation:

It is given that the distance from Fort Worth to Fresno is 1,530 miles.

The average speed of the cyclist is 17 miles per hour.

The time travelled by the cyclist can be determined using the formula,

$Distance=Speed \times Time$

Substituting the value of distance and speed, we get,

$1530=17\times Time$

Dividing both sides by 17, we get,

$90 =Time$

Thus, the time take for the cyclist to travel from Fort Worth to Fresno is $90 \ hours$

3 0

3 years ago

What is the answer for:<br> 1÷6 + √3

NikAS [45]

1.89871747424 heres the answer

3 0

3 years ago

Read 2 more answers

*URGENT*TEST TOMORROW*

Luden [163]

Answer:

"Dominic lived in Spain for 13 months and Columbia for 7 months."

Step-by-step explanation:

let months stayed in spain be "s" and months stayed in columbia be "c"

We can write 2 equations.

Since, lived in Spain and Columbia for a total of 20 months, we can write:

s + c = 20

Also, since 120 words per month in Spain and 150 words per month in Columbia for a total of 2610 new words, we can write:

120s + 150c=2610

Solving first for s:

s = 20 - c

Putting in 2nd and solving:

120(20 - c) + 150c = 2610

2400 - 120c + 150c = 2610

30c = 210

c = 7

Now,

s = 20 - c = 20 - 7 = 13

"Dominic lived in Spain for 13 months and Columbia for 7 months."

5 0

3 years ago

Read 2 more answers

The Royal Fruit Company produces two types of fruit drinks. The first type is 70% pure fruit juice, and the second type is 85% p

djyliett [7]

Let x = amount of 70% juice we use.

Then 60-x = amount of 85% juice we'll use.

We'll set up an equation that is based on how much pure juice comes from each component and how much we need in the final mixture.

So 70% of x plus 85% of (60-x) must equal 80% of 60, or...

0.7x + 0.85(60-x) = 0.8(60)

0.7x + 51 - 0.85x = 48

-0.15x + 51 = 48

-0.15x = -3

x = 20

Then 60 - x = 60 - 20 = 40

Check: 70% of 20 pints = 14 pints of pure juice.

85% of 40 pints = 34 pints of pure juice

That's 48 pints of pure juice in the mix, which matche 80% 0f 60 pints.

You'd need 20 pints of the 70% juice and 40 pints of the 85% juice.

4 0

3 years ago

(a) How would you characterize the relationship between money spent on advertising and items sold?

Mashcka [7]

Answer:

a) Positive Correlation

b) 69.5

c) Base advertisement fee

Step-by-step explanation:

a) Relationship between money spent on advertising and items sold

If we spent greater amount of money on advertisement, thus, we create more awareness and thus, the number of item sold increases.

Similarly, if less money is spent on advertisement, the number of items sold will be less.

Thus, the money spent on advertisement varies directly with the number of items sold.

Thus, they have a positive relationship or a positive correlation.

b) Money spent in advertising to sell 30 items

We are given the function:

$y= 1.6x+ 21.5$

We put x = 30

$y(30)= 1.6(30)+ 21.5\\y(30) = 69.5$

Thus, the score predicted by model is 69.5 units.

c) Interpretation of 21.5

Comparing the equation to a general linear equation, we get

$y = mx + c$

where m is the slope and c is the y-intercept.

y-intercept tells us the value of function when x is zero.

Thus, for the given scenario it will tell about the basic advertisement fee to be paid if we want to sell 0 products.

Comparing we get,

c = 21.5

Interpretation:

Thus, 21.5 units is the basic amount of advertisement fee that needed to be paid( the number of items sold is 0)

8 0

3 years ago