Eric runs every day. He can run 5 miles in 50minutes. What is the unit rate that Eric runs in
one minute?

Answers

Answer 1
Answer:

Answer:

10

Step-by-step explanation:

If he runs 50 minutes 50 divided by 5 is 10

Answer 2
Answer: 0.1 mile in 1 minute

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-2(3x+9)=24 ( find the x )

Answers

Hello!! Let's solve this!

-2(3x+9)= 24

Distribute the 2 using the distributive property, which states: a(b + c) = ab + ac

-2(3x+9)= 24

-2(3x) + (-2)(9) = 24

Simplify it

-6x - 18 = 24

Add 18 on both sides

-6x - 18 + 18 = 24 + 18

-6x = 42

Divide -6 on both sides

-6x/-6 = 42/-6

x = -7

Your answer is x = -7.

Hope I helped! If you have any other questions or would like further explanation just let me know!! :)

Distribute -2 into parentheses for -6x-18=24
add 18 for -6x=42 for -7 so your answer is x=-7

Determine the equation in the form y=mx+b for passing through each pair of points (0,8) and (4,3)

Answers

y=mx+b\n\nA(0;\ 8);\ B(4;\ 3)\n\nsubstitution\n\n \left\{\begin{array}{ccc}0m+b=8\n4m+b=3\end{array}\right\n\n\left\{\begin{array}{ccc}b=8\n4m+b=3\end{array}\right\n\left\{\begin{array}{ccc}b=8\n4m+8=3\end{array}\right\n\left\{\begin{array}{ccc}b=8\n4m=3-8\end{array}\right\n\left\{\begin{array}{ccc}b=8\n4m=-5&/:4\end{array}\right\left\{\begin{array}{ccc}b=8\nm=-(5)/(4)\end{array}\right

Answer:y=-(5)/(4)x+8
This requires y2 - y1/ x2 - x1 as the slope. I got y=-5/4x+8 as my answer

The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 80 cm. What are the dimensions of the rectangle?length = 25 cm; width = 15 cm
length = 22 cm; width = 18 cm
length = 24 cm; width = 16 cm
length = 23 cm; width = 14 cm

Answers

Answer:

Length = 25 cm , Width = 15 cm.

Step-by-step explanation:

Given  : The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 80 cm.

To find : What are the dimensions of the rectangle.

Solution : We have given

Perimeter = 80 cm .

According to question :

Let width of rectangle = W .

Length is  twice its width.

L = 2W .

Length of a rectangle is 5 centimeters less than twice its width.

L = 2W - 5.

Then ,

Perimeter = 2 ( length + width).

Plug the values

80 = 2 ( 2W - 5 + W ) .

80 = 2( 3W -5) .

On dividing both sides by  2

40 = 3W - 5 .

On adding both sides by 5.

45 = 3 W .

On dividing both sides by 3.

W = 15 cm .

L = 2W -  5.

L = 2 ( 15) - 5 .

L = 30 -5 .

L = 25 cm .

Therefore, Length = 25 cm , Width = 15 cm.

Hello,

Answer A
Let's the width of the rectangle

2a-5 its length
Teh half perimeter is 80/2=40
a+2a-5=40 ==>3a=45==>a=15 and 2a-5=30-5=25


3 less than the quotient of 20 and x

Answers

To write this it would be 20/x-3. I hope this helped. :) 

The center of a hyperbola is located at (0, 0). One focus is located at (0, 5) and its associated directrix is represented by the line y = . Given the standard form of the equation of a hyperbola, what are the values of a and b?

Answers

The variables a and b are,

⇒  a  = 3

⇒  b  = 4

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines relationship between one variable and another variable.

We know that;

For a hyperbola ;

⇒ x² / a² - y² / b² = c²

where, a² + b² = c²  

And, The directrix is the line, y = a² / c

and, the focus is at (0, c).

Here, We have;

⇒ c = 5,

⇒ a² = 9,

So We get;

⇒ b² = 5² - 9 = 16.

Thus, We get;

⇒  a = √9 = 3

⇒  b = √16 = 4

Learn more about the function visit:

brainly.com/question/11624077

#SPJ7

Answer:

a=3

b=4

Got it right on edge

Step-by-step explanation:

if directrix is represented by the line y=9/5.

What is the number in the following sequence 101,112,131,415,161

Answers

The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term.
101,112,131,415,161,718... Is basically formed using the 2 digit numbers 10,11,12,13,14,15,16,17,18...(placement of commas is different there) So the next two numbers will be formed using 19,20 & 21
Thus next three numbers are 718 & 192 & 021