A barista averages making 16 coffees per hour. At this rate, how many hours will it take until she's made 1,200 coffees?

Answers

Answer 1
Answer: 16 times x=1200 or 
16x=1200
divide both sides by 16
1200/16
so we  simplify 1200/16 by factoring out the ones (4/8=1/2 times 4/4 since 4/4=1)
1200=3*2*2*2*2*5*5
16=2*2*2*2*1
so we notice that there are four 2's in both so those are the 'ones' so cross them off and get
3*5*5/1 or 75/1 or 75 hours 
Answer 2
Answer: 75 hours
1200 coffees/16 coffees= 75 hours

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Solve the following equation |-5x+20|=-15 for x

12 divided by 8 into a mixed number

Answers

Hi there, to turn a fraction into a mixed number we divide the numerator by the denominator, write down the whole number, and then right down the remainder. In this case, we divide the numerator which is 12 and 8 which is the denominator which is 8, 12 divided by 8 equals 1.5, 1 will be the whole number, 4 will be the numerator, and 8 will be the denominator. So, we get 1 4/8. Therefore, 12/8 as a mixed number is 1 4/8.

A tree 6m high casts a shadow 4m long. What angle do the sun's rays make with the ground?​

Answers

Answer:

tan x° = 56.31°

Step-by-step explanation:

6/4= 1.5

hence x° = 56.31

Kelly has 15 blue bracelets and 12 green bracelets. What is the ratio of Kelly’s blue bracelets to green bracelets? A) 3 : 4 B) 4 : 5 C) 4 : 3 D) 5 : 4

Answers

The ratio of the 15 blue bracelets and 12 green bracelets is 5: 4. The correct option is D.

What are ratios and proportions?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that Kelly has 15 blue bracelets and 12 green bracelets. The ratio of the 15 blue bracelets and 12 green bracelets is calculated as:-

Ratio = blue bracelets / green bracelets

Ratio = 15 / 12

Ratio = 5 / 4

Hence, 12 green bracelets and 15 blue bracelets are distributed in a 5:4 ratio. The right answer is D.


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Answer:

D) 5 : 4

Step-by-step explanation:

Evaluate the floor function f(x) = ⌊x⌋ for the given input values. f(2) = f(6.8) = f(–3.3) =

Answers

Answer:

f(2) = 2 , f(6.8) = 6 and f(-3.3) = -4.

Step-by-step explanation:

We are given,

Floor function is f(x)=\left \lfloor x \right \rfloor.

That is, the function have value,

f(x)=n when n\leq x< n+1.

So, we get,

For 2\leq x< 3, we have f(2) = 2  

For  6\leq x< 7, we have f(6.8) = 6

For -4\leq x< -3, we have f(-3.3) = -4

Thus, we have the values,

f(2) = 2 , f(6.8) = 6 and f(-3.3) = -4.

Answer:

The correct answers on edge .. yw have a great dayy

Step-by-step explanation:

f(2) =  

2

f(6.8) =  

6

f(–3.3) =  

-4

Kiara has a ribbon that measures 1/4 of an inch and Jillian has a ribbon that measures 2/3 of an inch. Jillian says their ribbons are equal in length because her numerator is one more than kiara's and her denominator is one less, therefore balancing the two fractions. Is she correct? Why or why not?

Answers

Answer:

Jillian is Incorrect as fraction can never be balanced based on numerator or denominator.

Step-by-step explanation:

Given:

Measure of ribbon Kiara has = (1)/(4) \ inch

Measure of ribbon Jillian has = (2)/(3) \ inch

Now given:

Jillian says their ribbons are equal in length because her numerator is one more than kiara's and her denominator is one less, therefore balancing the two fractions.

we need to find whether statement is correct or not.

First we will find the decimal value of the given fraction's

(1)/(4) \ inch can rewritten as 0.25\ inch

Measure of ribbon Kiara has = 0.25 inch

(2)/(3) \ inch can be Rewritten as 0.67\ inch

Measure of  ribbon Jillian has = 0.67 inch

Now we can see that;

0.67 inch is greater than 0.25 inch.

Hence we can say that ribbons are not in equal length.

Also the fraction can never be balanced by decreasing or increasing the numerator or denominator.

Johnathan ran 5 days this week. The most he ran in one day was 3.5 miles. Write an inequality that shows the distance johnathan could of ran any day this week

Answers

An inequality that shows the distance Johnathan could of ran any day this week is:

x\leq 3.5

Solution:

Let "x" be the distance Johnathan can run any day of this week

Given that,

Johnathan ran 5 days this week. The most he ran in one day was 3.5 miles

Therefore,

Number of days ran = 5

The most he ran in 1 day = 3.5 miles

Thus, the maximum distance he ran in a week is given as:

distance = 5 * 3.5 = 17.5

The maximum distance he ran in a week is 17.5 miles

If we let x be the distance he can run any day of this week then, we get a inequality as:

x\leq 3.5

If we let y be the total distance he can travel in a week then, we may express it as,

y\leq 17.5