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guapka [62]
2 years ago
7

A parade route is 3 4 mile long. there will be a refreshment stand at the beginning and end of the route. there will also be 8 r

efreshment stands along the route. all the refreshment stands are equally-spaced apart. how far apart are the refreshment stands in feet?
396

440

495

520
Mathematics
1 answer:
Andreyy892 years ago
4 0

The distance between the refreshment stands is 440 feet

<h3>Calculating distance </h3>

From the question, we are to determine how far apart are the refreshment stands in feet

From the given information,

The parade route is 3/4 mile long

and

There are refreshment stands at the <u>beginning</u> and <u>end</u> of the route. And there will also be <u>8 refreshment stands</u> along the route.

This means there will be 10 refreshment stands in all.

If there are 10 refreshment stands in all, then there will be 9 spaces between the refreshment stands.

∴ The distance between <u>any two refreshment</u> stands will be

3/4 mile ÷ 9 = 3/36 mile = 1/12 mile

Now, we will convert this to feet

NOTE: 1 mile = 5280 feet

∴ 1/12 mile = 1/12 × 5280 feet

= 440 feet

Hence, the distance between the refreshment stands is 440 feet.

Learn more on Calculating distance here: brainly.com/question/7243416

#SPJ1

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What is Representing Relationships of Angle Measures
Studentka2010 [4]

<u>Given</u>:

Angles X and Y form a straight line. Angles W and Z form a straight line. Angles X and W are beside each other. Angles Y and Z are beside each other.

We need to determine the relationship that represents the measure of ∠X and ∠Y

<u>Option a</u>: m∠X = m∠Y

Two angles are said to be congruent only if they are vertically opposite angles.

Since, we know that the given relationship between X and Y is a straight line, the relationship  m∠X = m∠Y does not represent the relationship between X and Y.

Hence, Option a is not the correct answer.

<u>Option b</u>: m∠X + m∠Y = 90°

The given relationship shows that the angles X and Y are complementary angles. Because complementary angles add up to 90°

Hence, the given relationship m∠X + m∠Y = 90° does not represent that the angles X and Y are straight line.

Hence, Option b is not the correct answer.

<u>Option c</u>: m∠X + m∠Y = 100°

The given relationship shows that the sum of the two angles X and Y is 100°

Hence, the relationship m∠X + m∠Y = 90° does not represent that the angles X and Y forms a straight line.

Hence, Option c is not the correct answer.

<u>Option d</u>: m∠X + m∠Y = 180°

The given relationship shows that the angles X and Y are linear pairs of angles. That is, two angles in a straight line add up to 180°

Hence, the relationship m∠X + m∠Y = 90° represents the angles X and Y form a straight line.

Hence, Option d is the correct answer.

8 0
3 years ago
If the area of a rectangle is represented by x^2+ 27x- 124, then which expression
Reika [66]

Answer:

B x+31

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Solve: x + 1 &lt; 4 and 3 - x &gt; 5
Reika [66]

Answer:

okokok

Step-by-step explanation:

6 0
3 years ago
In febuary, john has $1000 in his account. in may, he had 2600. what is the rate of change?
sergiy2304 [10]

Answer:

866.7 each month

Step-by-step explanation:

what you would do is count how many months are in between which is 3 and then you would divide 2600 by 3 and get 866.7 so the rate of change is 866.7 each month

please mark brainliest

5 0
2 years ago
Does somebody knows how to do this problem?
pshichka [43]

Answer:

Angle Q is 51°

Angle R is 96°

(x=5 and the exterior angle is 84°)

Step-by-step explanation:

Exterior Angle Theorem says that angle that's outside the triangle (extend a side and see the angle between the side extension and the side) IS Equal to the sum of the two angles that are farther away.

17x - 1 = 33 + 10x + 1

Get all the x's on one side of the equation.

17x-10x - 1 = 33 + 10x-10x+1

7x - 1 = 33 + 1

7x - 1 = 34 add 1 to both sides

7x = 35 divide by 7

7x/7 = 35/7

x = 5

Not finished ! Find Angle Q

10x+1 = 10(5)+1= 51°

Angle PRQ is insidethe triangle. All the angles of a triangle add up to 180°

33° + 51° + R = 180°

84° + R = 180°

R = 96°

6 0
2 years ago
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