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3 years ago

8

Claire jogs around an oval track and is able to complete one lap in 5 minutes. If she jogs at the same pace for 42 minutes, how

many laps would she be able to jog? Write an inequality and find the number of whole laps Claire completesm

1 answer:

Maslowich3 years ago

7 0

I would say about 8 whole laps

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What is the corresponding growth decay factor of the given annual rate of +200%

Alina [70]

2000 should be it I'm pretty sure

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3 years ago

The school librarian, Mr. Marker, knows the library has 1,400 books but wants to reorganize how the books are displayed on the s

kipiarov [429]

Answer:

200 resource books

800 fiction books

400 nonfiction books

Step-by-step explanation:

Let's define x as the amount of resource books that are in the library. As he has four times as many fiction books as resource books, that means he has 4*x fiction books.

We also know he has half as many nonfiction books as fiction books, that is 1/2*4*x = 2*x nonfiction books.

We just need to find out the value of x.

We know there are 1,400 books in total and there are just 3 types of books. Therefore, if we sum all of them, we get the 1,400.

Written in math language, that is

x + 4x + 2x = 1,400

7x = 1,400

We divide by 7 on both sides and we get

7/7x = 1,400/7

x = 200

Now we replace the x with 200 to know how many books he has of each type:

Resource books = x = 200

Fiction books = 4*x = 4*200 = 800

Nonfiction books = 2*x = 2*200 = 400

Therefore, there are 200 resource books, 800 fiction books and 400 nonfiction books in the library.

The tape diagram is attached as an image.

8 0

3 years ago

Work out the value of x.<br>Need answer soon :)

german

Answer:

x+20

Step-by-step explanation:

As we can see n the diagram, there are parallel traversals and one line, and the two angles given are same-side interior angles. We know that when there is parallel traversal, and we have same side interiors, the sum of the measure of the two angles are supplementary. Supplementary means 180 degrees, or a straight line.

So we plug everything in and we have 4x+5x=180 degrees

4x+5x=9x, so 9x=180

We divide by 9 on both sides to get the value of x, which is 20

Hope it helps!

6 0

3 years ago

Solve this simultaneous equations: picture below

Olin [163]

Answer:

x = p/11, y = 13p/11

Step-by-step explanation:

7 0

3 years ago

write the equation in standard form of the function with x intercepts at (4,0) and (-2,0) that has been reflected across the x a

Anastaziya [24]

answer

$-3x^{2} +6x + 24$

explanation

since there are 2 x-intercepts, the lowest degree the function could possibly have is 2, so this could be the graph of a parabola

since our zeros are at x = 4 and x = -2, our factors are (x - 4) and (x + 2)

our equation so far is

(x - 4)(x + 2)

= $x^2 -4x + 2x - 8$

= $x^{2} -2x - 8$

since the function is reflected across the x-axis, multiply the equation by -1

$-(x^{2} -2x - 8)$

= $-x^{2} +2x + 8$

since the function has a vertical stretch of 3, multiply the equation by 3

$3(-x^{2} +2x + 8)$

= $-3x^{2} +6x + 24$

3 0

3 years ago