Karen runs 6 miles in 44 minutes. At the same rate, how many minutes would she take to run 9 miles?

The sum of the measures of two angles is 180 degrees. One angle measures 3a and the other angle measures 2a-25 Find a. Then find

e-lub [12.9K]

The sum of the angles equal 180 degrees, so we plug the angle values into an equation:
3a + 2a - 25 = 180.
By combining like terms, this becomes:
5a - 25 = 180
Now, if we add 25 to both sides to isolate a, we get:
5a = 205
Finally, we need to divide both sides by 5 to find a, and we get:
a = 41

Yay! Now we have a. Now we just plug them into the original values! So:
2(41) - 25
Multiply out:
82 - 25
The first angle is equal to 57.

Then we use the second angle:
3(41)
Multiply out:
123
The second angle is equal to 123.

Hope this helps!
~Chrys

8 0

4 years ago

Solve the inequalities

umka2103 [35]

1 is C, since it is anything less than 8, so 7 times 2 is 14 minus 2 is 12.
2 is C, since it is anything less than 8, so 7 times 3 is 21, and 1 minus 21 is -20.

8 0

3 years ago

A field is a rectangle with a perimeter of 1220 feet. The length is 100 feet more than the width. Find the width and length of t

rosijanka [135]

To start, let x represent the width and x+100 represent the length. Since the perimeter of a figure is the sum of all the measurements of the side which can be represented by (x+100)+(x+100)+x+x and since you know your perimeter is 1220, you can set the expression equal to 1220. This would look like this:
(x+100)+(x+100)+x+x=1220

Once you have done that, combine any like terms (combine terms with the same variables and raised to the same power together) which would simplify to this:
4x+200=1220

Now that you have your like terms simplified, subtract 200 from both sides to get 4x=1020 and finally, to solve for x, or find the width, divide both sides by 4 to get x=255.

Now that you have your width, now you must find your length as the question asks to find the dimensions of the rectangular field. To find the length, add 100 to the width, 255 since according to the information given, the length is 100 more than the width. When you add 100 to 255, you should get that your length is 355.

Now that you have your length and width, you can conclude that the dimensions of the field is 255 by 355 feet, which is your answer :)

3 0

4 years ago

Determine if the relation below is a function and state the domain and range.

LUCKY_DIMON [66]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the relation

{(1, -2), (-2, 0), (-1, 2), (1, 3)}

Please note that there is a repetition of x-values.

i.e. x=1 appears twice times.

This relation does not define a function because every x-value should have been unique and is associated with only one value of y.

Here, the x-values are repeated. Hence, this relation is not a function.

Finding the Domain of a relation:

We know that the domain is the complete set of all first elements of ordered pairs often called x-coordinates.

Domain of a relation: {-1, -2, 1}

<u>Note: Domain is in ascending order and repeated elements are written only once.</u>

Finding the Range of a relation:

We know that the domain is the complete set of all second elements of ordered pairs often called y-coordinates.

Range of a relation: {-2, 2, 3}

<u>Note: Range is in ascending order and repeated elements are written only once.</u>

7 0

3 years ago

How to solve this equation by getting a value and b value

goblinko [34]

Answer:

a=±5

Step-by-step explanation:

25=5^2

Given that, x^2−10x+25=x^2−10x+5^2

Identity: a^2−2(ab)+b^2=(a-b)^2

Here, a=x and b=5

∴=(x−5)^2

Hope this helps

3 0

4 years ago