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vlada-n [284]
3 years ago
13

A runner ran 20 miles in 150 minutes. If she runs at that speed, how long would it take her to run 6 miles? How fast is she runn

ing in miles per hour? What is her pace in minutes per mile?
PLEASE ANSWER!!!!
Mathematics
1 answer:
Nataly_w [17]3 years ago
4 0
First you do 150 divided by 20, which equals 7.5, so then you would do 7.5 times 6 and that equals 45 minutes. Hope that helped!
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Could some please help and explain?
Sophie [7]

Answer:

x = 7

Step-by-step explanation:

A rhombus is a parallelogram where all sides are equal. Therefore, as we know two sides are equal to 7x+8 and 9x-6, we can say that

7x+8 = 9x - 6

subtract 7x from both sides to put the variable on one side

2x - 6 = 8

add 6 to both sides to isolate the variable and its coefficient

2x = 14

divide both sides by 2 to isolate x

x = 7

7 0
2 years ago
For each diagram, describe a translation, rotation, or reflection that takes line ℓ to line ℓ′. Then plot and label A′ and B′, t
inn [45]

Answer:

  1. translate down 3
  2. reflect across the horizontal line through A

Step-by-step explanation:

1. There are many transformations that will map a line to a parallel line. Translation either horizontally or vertically will do it. Reflection across a line halfway between them will do it, as will rotation 180° about any point on that midline.

In the first attachment, we have elected to translate the line down 3 units.

__

2. Again, there are many transformations that could be used. Easiest is one that has point A as an invariant point, such as rotation CW or CCW about A, or reflection horizontally or vertically across a line through A.

Any center of rotation on a horizontal or vertical line through A can also be used for a rotation that maps one line to the other.

In the second attachment, we have elected to reflect the line across a horizontal line through A.

6 0
3 years ago
The scale in the drawing is 2 inches : 3 feet. What are the length and width of the actual room? *
patriot [66]

drawing isn't shown, pls take a screenshot or photograph the exercise

5 0
3 years ago
A trapezoid has an area of 20 cm2 and a height z cm. The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm. Find the
Brums [2.3K]

Answer: 2.11cm

Step-by-step explanation:

Given the following :

The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm

The area of trapezoid is calculated using the formula:

1/2(a + b) × h

Where ;

a = Length of side 1

b = length of side 2

h = height

Take a = (2z + 3) and b = (6z – 1), h = z

Therefore ;

1/2 (2z + 3 + 6z - 1) × z

Opening the bracket

(z + 1.5 + 3z - 0.5) × z

(4z + 1 ) × z = 20cm^2

4z^2 + z = 20cm^2

Using Quadratic formula:

4z^2 + z - 20 = 0

a = 4, b = 1, c = - 20

(-b±√b^2 -4ac) / 2a

Z = 2.11 or - 2.364

z cannot be negative, therefore,

Z = 2.11 cm

6 0
3 years ago
Which is the simplified form of the expression?
Anon25 [30]

Given:

Consider the given expression is:

10n-\dfrac{1}{3}(9n-12)

To find:

The simplified form of the given expression.

Solution:

We have,

10n-\dfrac{1}{3}(9n-12)

Using distributive property, it can be written as:

=10n-\dfrac{1}{3}(9n)-\dfrac{1}{3}(-12)

=10n-3n+4

=7n+4

Therefore, the correct option is A.

4 0
3 years ago
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