Ask question

Ask question

All categories

3 years ago

10

40% of collage students scored more than 70% on a math test. 120 students scored below that. How many total students took the ma

th test?

1 answer:

monitta3 years ago

3 0

The answer to your question is 200.
100%-40%=60%
60%=120 students
60%÷3=20%
120÷3=40
20%=40
20%X5=100%
40X5=200

You might be interested in

PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!

Nookie1986 [14]

Answer:

$\large\boxed{y=\dfrac{1}{4}x^2-x-4}$

Step-by-step explanation:

The equation of a parabola in vertex form:

$y=a(x-h)^2+k$

<em>(h, k)</em><em> - vertex</em>

The focus is

$\left(h,\ k+\dfrac{1}{4a}\right)$

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of <em>a</em> using $k+\dfrac{1}{4a}$

<em>k = -5</em>

$-5+\dfrac{1}{4a}=-4$ <em>add 5 to both sides</em>

$\dfrac{1}{4a}=1$ <em>multiply both sides by 4</em>

$4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4$

$\dfrac{1}{a}=4\to a=\dfrac{1}{4}$

Substitute

$a=\dfrac{1}{4},\ h=2,\ k=-5$

to the vertex form of an equation of a parabola:

$y=\dfrac{1}{4}(x-2)^2-5$

The standard form:

$y=ax^2+bx+c$

Convert using

$(a-b)^2=a^2-2ab+b^2$

$y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5$

<em>use the distributive property: a(b+c)=ab+ac</em>

$y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4$

3 0

3 years ago

Which of these steps will eliminate a variable in this system?

PSYCHO15rus [73]

C. multiply the second equation by two. Then add the equations

3 0

3 years ago

Which strategy is the most appropriate strategy to solve (x−1)^2=9 ?

Leya [2.2K]

(x-1)^2=9 <=> x-1=3 <=> x=4

3 0

3 years ago

Read 2 more answers

What is the volume of this composite solid?<br> 16 m<br> 5 m<br> 12 m<br> 9 m

son4ous [18]

Answer:

864 cubic meters

Step-by-step explanation:

Rectangular prism = 5x9x12=540

Triangular prism = 1/2(9)(6)(12)=324

540+324=864 cubic meters

3 0

2 years ago

A 2 feet- wide walkway surrounds a rectangular swimming pool. The swimming pool is 12 feet wide and 16 feet long. What is the ar

Andru [333]

Answer:

128 sq. ft.

Step-by-step explanation:

The outer sides of the walkway will have a length of 20 feet and the breadth will be 16 feet

The area of the pool along with the walkway will be 20 × 16 = 320 square feet.

Area of the pool without the walkway will be 16 × 12 = 192 square feet.

Therefore area of the walkway will be

352 - 216 = 128 square feet.

6 0

2 years ago