MATHEMATICS MIDDLE SCHOOL

Nata spent $28 on 2 DVDs. At this rate, how much would 5 cost? At what rate did she spend her money

Answers

Answer 1

Answer:

we know that

Nata spent $\$28$ on $2$ DVDs

by proportion

Find the cost of $5$ DVDs

$(28)/(2) (\$)/(DVD) =(x)/(5) (\$)/(DVD)\n \n2*x=28*5\n \nx=28*5/2\n \nx=\$70$

therefore

The answer Part a) is

The cost of $5$ DVDs is $\$70$

Part b) Find the unit rate

we know that

Unit Rate is the ratio of two measurements in which the second term is $1$

Find the cost of $1$ DVDs

$(28)/(2) (\$)/(DVD) =(x)/(1) (\$)/(DVD)\n \n2*x=28\n \nx=28/2\n \nx=\$14$

therefore

the unit rate is $14(\$)/(DVD)$

The answer Part b) is

Nata spent her money at the rate $14(\$)/(DVD)$

Answer 2

Answer: $14 dollars for each cd and if she buys 5 it's $70

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find the equation in slope-intercept form that descrives a line through (4,-2) with slope -3 A. y = -3x - 2 B. y = -3 x + 4 C. y = -3x + 10 D. y = -3x

Answers

Remember that the slope intercept formula is:

y = mx + b

m is the slope

b is the y-intercept

So far we know the slope and can plug that into the equation like so...

y = -3x + b

Now we must find b

To do that you must plug in the point the line goes through in the x and y of the equation.

(4, -2)

-2 = -3(4) + b

-2 = -12 + b

10 = b

y = -3x + 10

Hope this helped!

~Just a girl in love with Shawn Mendes

Suppose the foot of a 12-foot ladder was placed 4 feet from a building how high up on the building would the top of the ladder reach

Answers

Use the pythagorean theorem.

The foot of the ladder is 4 feet away from the building (leg 1)

The height of the building is leg 2

The ladder, which would be at an angle, is 12 feet. So our hypotenuse would be 12. The equation for this would be a²+4²=12²

We can then begin to solve

a² + 16 = 144

a² = 128

a=11.31

So, our answer is: The top of the ladder reaches the building at 11.31 feet up

Solve for q

- 3/4q = 12

q = ___

Answers

$\text{We know: } \n \boxed{(\ -3\ )/(\ 4\ )*q=12 } \n \n q=12: (\ -3\ )/(\ 4\ ) \n \n q=12* (\ 4\ )/(\ -3\ ) \n \n q= \frac{\ 48\ } {\ -3\ } \n \n q=-16 \n ********** \n \n \text{Check:}\n \n \boxed{ (-3)/(4)*-16=12 } \n \n (48)/(4) =12 \ TRUE$

$(-3)/(4q)=12$
Multiply by q to eliminate var in denominator
$( \not q*(3))/(4 \not q) =q*12$
$q= (-3)/(4) =q*12$
Common denominator is 4
$( \not 4(-3))/( \not 4) =4q*12$
$-3=4q*12$
$-3=48q$
Divide by 48
$q=( \not 3)/( \not 4 \not 8)$
$q=-16$
The answer is: $q=-16$

Hillary used 5 L of a cleaning solution to scrub down 25 M^2 of table tops in the school cafeteria. how many litres of cleaning solution are required to clean a surface with an area of 65 m^2 if this solution is directly proportional?A.10L
B.13L
C.15L
D.25L

Answers

Answer is B) 13L.

Explanation:

We can calculate the number of liters of cleaning solution required to clean up a surface with the given area by simple method of proportion.

If 25m^2 area requires 5L of cleaning solution,

then let x bethe number of liters required for cleaning a 65m^2 area.

We can write it as:

25 / 65 = 5 /x

x = (5 x 65) / 25 = 325/25 = 13

So, 13 litres of cleaning solution is required to clean a surface with 65m^2 area.

Which graph shows triangle <-4,2> (ABC)

Answers

Answer:

there is no graph to look at. please add the graph

Step-by-step explanation:

Answer:

I have a copy of the graph. Also attached are the choices?

Step-by-step explanation:

Find the value of x in each case:

Answers

See the attached pictures:

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