MATHEMATICS HIGH SCHOOL

Decimals from least to greatest please help put in order. 2.2, 2.15, 2.2012, 2.501

Answers

Answer 1

Answer:

Answer: 2.15, 2.2, 2.2012, 2.501

Answer 2

Answer:

Answer:

the answer is 2.15, 2.2, 2.2012, 2.501.

Step-by-step explanation:

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A particular frozen yogurt has 75 cal into ounces how many calories are in 8 ounces of the yogurt

Answers

I'm guessing you mean 75 calories in 2 ounces.
In that case... you would do
75 / 2 = 37.5
37.5 x 8 = 300 calories in 8 ounces of yogurt

Hope I helped!

What is the GCF of 22 and 32?

1
2
4
6

Answers

All factors of 22 are
1,2,11,22
all factors of 32 are
1,2,4,8,16,32
You can see that the greatest common factor is 2.

At a concert, there are 3 times as many women as men. 3/5 of the men and 1/3 of the women wear glasses. There are 120 more women wearing glasses as men wearing glasses. How many people are at the concert?

Answers

w = women
m = men

w = 3m (from the first sentence)

1/3w - 3/5m = 120
subsitute 3m for w
1/3(3m) - 3/5m = 120
m - 3/5m = 120
2/5m = 120
2m = 600
m = 300

back to the original equation
w = 3m
w = 3(300)
w = 900

900 women + 300 men = 1200 people.

Find the exact value of cos(135 degree + 30 degree)

Answers

$cos(x+y)=cosxcosy-sinxsiny\nsin(x+y)=sinxcosy+sinycosx\n-------------------------------\ncos(135^o+30^o)=cos135^ocos30^o-sin135^osin30^o=(*)\n----------------------------\ncos135^o=cos(90^o+45^o)=cos90^ocos45^o-sin90^osin45^o\n=0\cdot(\sqrt2)/(2)-1\cdot(\sqrt2)/(2)=-(\sqrt2)/(2)\n\nsin135^o=sin(90^o+45^o)=sin90^ocos45^o+sin45^ocos90^o\n=1\cdot(\sqrt2)/(2)+(\sqrt2)/(2)\cdot0=(\sqrt2)/(2)\n-------------------------------$

$(*)=-(\sqrt2)/(2)\cdot(\sqrt3)/(2)-(\sqrt2)/(2)\cdot(1)/(2)=-(√(6))/(4)-(\sqrt2)/(4)=-(\sqrt6+\sqrt2)/(4)$

Two men decide to drive to a distant town, taking the same route. The first leaves 2 hours ahead of the second and drives at 60 km per hour, while the second man drives at 90 km per hour. How many hours will it take the second man to catch up with the first man?

Answers

Answer:

$t = 6\,h$

Step-by-step explanation:

Given that both men moves at constant speed on the same trail, the motion equations that describes each motion are, respectively:

Man 1

$x = 60 \cdot t$

Man 2

$x = 90 \cdot (t-2)$

Where x is measure in kilometers and t in hours, respectively.

The time taken for both men to meet each other is:

$60\cdot t = 90\cdot (t-2)$

$30\cdot t = 180$

$t = 6\,h$

Answer: 4 hours

Step-by-step explanation:

2 x 60 =120

90-60=30

120/30= 4

This question has two parts. First, answer Part A. Then, answer Part B.Part A
Fill in the blank question.
REASONING The figure shows a straight portion of the course for a city marathon. The water station W is located at the midpoint of AB .

a. What is the length of the course from point A to point W?

Part B
Select the correct choices to complete the sentence.
b. Write a paragraph proof for your answer to part a.

Answers

Final answer:

The length of the course from point A to point W can be found using the midpoint formula. To write a paragraph proof, mention the given information and use the midpoint formula to calculate the length.

Explanation:

Part A:

To find the length of the course from point A to point W, we need to determine the distance between these two points. Since W is the midpoint of segment AB, we can use the midpoint formula to find the coordinates of W. If the coordinates of A are (x1, y1) and the coordinates of B are (x2, y2), the coordinates of W would be the averages of x1 and x2, and y1 and y2.

Part B:

To write a paragraph proof for Part A, we can state the given information and use the midpoint formula to show how we calculated the length of the course from point A to point W. We can mention the formula for the midpoint and use the given information to substitute the values, then simplify the expression to find the length.

Learn more about Midpoint formula here:

brainly.com/question/15085041

#SPJ1

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