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3 years ago

2. One third of the cars available for sale in a dealership are used cars. If there are 20 new

Mathematics

1 answer:

Anna35 [415]3 years ago

7 0

20 + 1/3 = 120/3

Ans- 40....

Hope this helps you! :)

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On a gameboard spinner, Rachel won a prize on 8 out of 10 spins. Based on experimental

Artyom0805 [142]

1. You need to make a proportion

2. Your proportion would be 8 over 10 equals X over 15

3. Your equation would be 10x=15(8)

4. 15x8=125

5. 10x=125

6. you would divide 125 by 10

7. thats your answer

6 0

3 years ago

Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

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

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

7 0

3 years ago

20% of the people in a village own a dog, 30% own goats and 40% own cattle, 5% own both a dog and goats, 4% own both a dog and c

lana66690 [7]

Answer:

37 %

Step-by-step explanation:

here..

only Dog = 20- 5 - 4 - 1 = 10

only goats = 30 - 5 - 3 - 1 = 21

only cattle = 40 - 4 - 3 - 1 = 32

then ... since the maximum percentage is 100 %

people who don't own any animal = 100% - 10% - 21% - 32% = 37 %

3 0

3 years ago

Ursula and Andre competed against each other in a swimming race. Ursula swam at a rate of 60 meters per minute and Andre swam at

Lubov Fominskaja [6]

Given that the two swimmers competed and Ursula's speed is 60 m/min while Andre's speed is 48 m/min. The distance that the Ursula will catch up with Andre will be:
distance=(relative speed)×(time)
relative speed=60-48=12 m/min
the two swimmers met at a distance of:
12×1
=12 meters

6 0

3 years ago

An account earns simple interest. Find the interest earned.<br>$700 at 3% for 4 years

earnstyle [38]

Answer:

$84

Step-by-step explanation:

Simple Interest = Interest rate*Principle*number of years

= (3÷100)*$700*4

=$84

3 0

3 years ago