MATHEMATICS
MIDDLE SCHOOL

Answer:

The value of x when y = -14 is 7

Step-by-step explanation:

Direct variation is a relationship between two variables that can

be expressed by an equation in which one variable is equal to a

constant times the other

If y varies directly with x, then

- y ∝ x
- y = k x, is the equation of variation where k is the constant of variation

∵ y varies directly with x

∴ y ∝ x

∴ y = k x

To find k substitute x and y by their initial values

∵ y = 16 and x = -8

- Substitute y by 16 and x by -8 in the equation above

∴ 16 = k(-8)

- Divide both sides by -8

∴ -2 = k

∴ The value of k is -2

- Substitute the value of k in the equation above

∴ y = -2 x ⇒ equation of variation

∵ y = -14

- To find x substitute y by -14 in the equation of variation

∵ -14 = -2 x

- Divide both sides by -2

∴ 7 = x

∴ The value of x is 7

The value of x when y = -14 is 7

Learn more:

You can learn more about variation in brainly.com/question/10708697

#LearnwithBrainly

HIGH SCHOOL

Three brothers Charlie Robert and Nicholas have 21 video games Charlie has twice as many games as Robert. Robert has 5 fewer games than Nicholas what would be the equation

Answer:

The equation would be .

Step-by-step explanation:

Given;

Total Number of Video games = 21

Let the number of video game Nicholas has be 'x'.

Now Given:

Robert has 5 fewer games than Nicholas.

so we can say that;

number of video game Robert has =

Also Given:

Charlie has twice as many games as Robert.

so we can say that;

number of video game Charlie has =

we need to write the equation.

Solution:

Now we can say that;

Total Number of Video games is equal to sum of number of video game Nicholas has, number of video game Robert has and number of video game Charlie has.

framing the equation we get;

Hence The equation would be .

On Solving we get;

Adding both side by 15 we get;

Dividing both side by 4 we get;

Hence Nicholas has = 9 video games

Robert has = video games

Charlie has = video games

Answer:

The equation would be

Step-by-step explanation:

Given:

Three brothers Charlie Robert and Nicholas have 21 video games Charlie has twice as many games as Robert. Robert has 5 fewer games than Nicholas.

Now, to find the equation.

Let the games Nicholas has be

Robert has games

And Charlie has

Now, the equation is:

Therefore, the equation would be

HIGH SCHOOL

A 25-foot ladder is leaning against a house with the base of the ladder 5 feet from the house. How high up the house does the ladder reach? If necessary, round to the nearest tenth foot.

Answer:

24.5 ft

Step-by-step explanation:

The Pythagorean theorem relates the lengths of the legs of a right triangle to the length of the hypotenuse. This geometry is modeled by a right triangle with one leg being 5 ft and the hypotenuse being 25 ft. Then we have (in feet), ...

25^2 = 5^2 + height^2

625 -25 = height^2 . . . . . . subtract 5^2

√600 = height ≈ 24.4949 . . . . take the square root

The ladder reaches about 24.5 ft up the house.

HIGH SCHOOL

Assume ABC DEF. If DF = 12, EF = 7, and AB = 17, what is the length of DE? A. 32 B. 17 C. cannot be determined D. 7 E. 12 F. 15

The Length would be 15

MIDDLE SCHOOL

Mr gardener is making 6 treat bags he has 185 chocolate covered raisins to share evenly among the treat bags. how many chocolate covered raisins will be in each bag

how many chocolate covered raisins will be left over

Answer:

30 in each bag and 5 left over

Step-by-step explanation:

185 ÷ 6 = 30 r5

There will be 30 chocolate covered raisins I'm each bag.

And 5 are left over.

Hope this helps you out. : )

Answer: There will be 30.8333333 chocolate covered raisins in each bag.

Step-by-step explanation: 185÷6=30.8333333.

MIDDLE SCHOOL

Item 5 How long does it take to travel 300 mi at a constant speed of 15 mi/h? Enter your answer in the box. h

Answer:

20 hours

Step-by-step explanation:

Speed is the distance covered per unit time

Speed = Distance/time

Making time the subject

Time = Distance/speed

Distance = 300 Mi, speed= 15 mi/h

Time = 300/15

= 20 hours

Answer:

20!

Step-by-step explanation:

All you have to do is divide 300/15

which equals

20

I hope this helps :)

HIGH SCHOOL

What is the value of the expression 7a - 3bc, where a=3, b=4 and c=0?

7*3=21

21-(3*b*c)

4*0=0

3*0=0

21-0=21!

21-(3*b*c)

4*0=0

3*0=0

21-0=21!

MIDDLE SCHOOL

Round 306.128 to the nearest hundredth

306. 128 rounded to the nearest hundredth is 306.13

HIGH SCHOOL

What part of the circumference is an arc whose measure is 30°? a.1/12

b.1/10

c.1/8

d.1/6

Circumference of a circle:

C = 2 r π;

Length of an arc:

L = r π α / 180°

L = r π · 30° / 180° = r π /6

r π /6 : 2 r π = 1/6 : 2 = 1/12

Answer: A ) 1/12

C = 2 r π;

Length of an arc:

L = r π α / 180°

L = r π · 30° / 180° = r π /6

r π /6 : 2 r π = 1/6 : 2 = 1/12

Answer: A ) 1/12

HIGH SCHOOL

What is the sin inverse of (sine 9pi/7)?

A calculator can help you with that.

In radians, arcsin(sin(9π) / 7) = 0.

In radians, arcsin(sin(9π) / 7) = 0.