find the equation of a line with gradient 5 through the point -4,5

Answer: (a)

Step-by-step explanation:

Given

The function [tex]b(x)[/tex] is given for the bill as per the kilo-watt hours used

for 600 kWh in a month, [tex]b(x)[/tex]  is

Substitute 600 for [tex]x[/tex]  in [tex]b(x)[/tex]

[tex]\Rightarrow 0.10(600-400)+60\\\Rightarrow 0.10(200)+60\\\Rightarrow 20+60\\\Rightarrow 80[/tex]

Therefore, the bill for a person is [tex]\$80[/tex]

Answer: C. How many mountain ranges are in the U.S.

Step-by-step explanation:

A statistical question first of all has to have a quantitative response i.e., answers should be in numbers.

The only two questions here that would yield a numeric answer are options C and D.

Furthermore, a statistical question has variability in it which means that the answer is based on multiple observations not just one. The observations in option C are mountain ranges and as the question requires finding out details about multiple mountain ranges, this is a statistical question.

This is opposed to option D which addresses issues surrounding just one mountain.

Answer:

You could divide 4 from both sides first

Answer:

km is a unit of distance

and si unit of distance is meters.(m)

1 km = 10³ m

•°• 2 km = 2 × 10³ m

in SI unit 2km = 2 × 10³ m or 2000 m

Answer:

21

Step-by-step explanation:

Answer:

0-5

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

67+42+6x-1=180

108+6x=180

6x=72

x=12

Answer:

C. a+bi

I took the test

Answer:

Compound interest = Rs 1,575 (Approx.)

Step-by-step explanation:

Given:

Amount invested = R.s 6,500

Rate of interest = 7.5% per annum

Number of year = 3 year

Find:

Amount of compound interest

Computation:

Compound interest = P[(1+r)ⁿ - 1]

Compound interest = 6500[(1+7.5%)³ - 1]

Compound interest = 6500[(1+0.075)³ - 1]

Compound interest = 6500[(1.075)³ - 1]

Compound interest = 6500[1.2423 - 1]

Compound interest = 6500[0.2423]

Compound interest = 1574.95

Compound interest = Rs 1,575 (Approx.)

Answer:

[tex]g {}^{ - 1} (x) = 2 \sqrt[3]{x - 16} [/tex]

choose (2)

Answer:

7 x 4 = 28

28 x 1/2(dividing by 2) = 14, 14 x 2(two triangles) = 28

4 x 5 = 20(area of square in the middle)

5 x 8 = 40(area of square on one side), 40 x 2 = 80(area of squares on both sides)

Now lets add the given areas:

28 + 20 + 80 = 128 square is your answer.

Answer:

9

Step-by-step explanation:

the median is 9 and to keep it the same you put 9

Hope this helps!!!

Answer:

Step-by-step explanation:

(2x-7y)(2x+7y)

2x(2x+7y)-7y(2x+7y)

4x^2+14xy-14xy-49y^2

4x^2-49y^2

(2x)^2-(7y)^2

Answer:

[tex] {4x}^{2} - 49y^{2} [/tex]

Step-by-step explanation:

Use (a - b) (a + b) = a^2 -b^2 to simplify the product.

[tex](2x)^{2} - (7y)^{2} [/tex]

To raise the product to a power, raise each factor to that power:

[tex] {4x}^{2} - (7y)^{2} \\ {4x}^{2} - 49y^{2} [/tex]

Answer:

use this formula ot find area of rectangl 2l +2w

Answer:

C≈37.7

Step-by-step explanation:

C = 37.68

Step-by-step explanation:

6×2 = 12

C = pi d

C = 3.14 × 12

C = 37.68

Answer:

10 ft-lbs.

Step-by-step explanation:

Given data

Weight of box=  5 lb

Height moved = 2 feet

We know that the expression for work done is

Work done= Force * Distance

Work done= 5*2

Work done= 10 10 ft-lbs.

Answer:

51

Step-by-step explanation:

90-39 = 51

Answer:

Step-by-step explanation:

15 - x = 3x + 3

15 - x = 3•x + 3

4x = 12

x = 3

Sorry, I change the b and a into x's if that's fine with you.

Answer:

To do this question, you need to put the numbers in least to greatest. Greatest to least will not work and will be incorrect.

It will be:

-3, -1, 0, 1, 5, 6, 7, 8, 10, 13

Now you have to cancel each number out from each end.

You will get the numbers:

5, and 6.

You have to find the average of this so:

5 + 6 = 11

11 ÷ 2 = 5.5

So the answer is 5.5.

Answer:

5.5

Step-by-step explanation:

First you would rearrange the numbers from smallest to biggest or vice versa then you cancel out equal number of numbers on both sides until you get to the middle. If it's an even amount of numbers, like 10, then there will be two in the middle instead of one so in that case you would add the two of them and then divide by two.

For example, -3, -1, 0, 1, 5, 6, 7, 8, 10, 13

you would cancel out until you get to the middle which would leave you with 5 and 6 so you add them and divide by two to get 5.5.

Answer:

y = 7.75x

Step-by-step explanation:

Steven earns extra money babysitting.

Step 1

Let us find the amount he earns per hour based on the charges given in the question.

a) He charges $31.00 for 4 hours

4 hours = $31

1 hour = x

Cross Multiply

4x = $31

x = $31/4

x = $7.75

b) And $46.50 for 6 hours.

6 hours = $46.50

1 hour = x

Cross Multiply

6x = $46.50

x = $46.50/6

x = $7.75

This means, Steven earns $7.75 per hour.

Step 2

Let

x represent the number of hours Steven babysit

y represent the amount he charges.

Therefore, an equation to represent the relationship is written as:

y = $7.75 × x

y = 7.75x

The area of the crust that will cover the top of the pie is 50.24 square inches.

A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.

For the given situation,

The baking pan is in the shape of a circle.

The diameter of a baking pan = 8 inches

So, the radius of a baking pan,r = [tex]\frac{diameter}{2}[/tex]

⇒ [tex]r=\frac{8}{2}[/tex]

⇒ [tex]r=4[/tex]

The area of the crust that will cover the top of the pie is

[tex]A=\pi r^{2}[/tex]

we know that the value of π is 3.14.

On substitute the above values,

⇒ [tex]A=(3.14)(4)^{2}[/tex]

⇒ [tex]A=(3.14)(16)[/tex]

⇒ [tex]A=50.24[/tex]

Hence we can conclude that the area of the crust that will cover the top of the pie is 50.24 square inches.

Learn more about circles here

https://brainly.com/question/16125353

#SPJ2

Answer:

36.9

Step-by-step explanation:

Use the formula [tex]a^2 + b^2 = c^2[/tex] to find the length of LK.

40 is the hypothenuse because it is directly across from the right angle.

[tex]a^2 + 24^2 = 40^2[/tex]

[tex]a^2[/tex] = 32

Tan is opposite over hypothenuse.

Tan M = 36.9

Answer:

b = 6 sqrt(2)

Step-by-step explanation:

Since this is right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

3^2 + b^2 = 9^2

9+b^2 = 81

b^2 = 81-9

b^2 = 72

Take the square root of each side

sqrt(b^2) = sqrt(72)

b = sqrt(36*2)

b = 6 sqrt(2)

Answer:

1 13/16 gallons

1.8125 gallons

Step-by-step explanation:

convert the measures that are not in gallons to gallon

1 pint = 1/8 gallon

4 x 1/8 = 1/2

1 cup =1/16 gallon

5 x 1/16 = 5/16

0.3125

1 quart = 1/4

1/4 x 2 = 1/2

Add these figures togehter

1/2 + 5/16 + 1/2 + 1/2 = 29 / 16 = 1 13/16 gallons

Answer: 8 inches by 6 inches

Step-by-step explanation:

Answer:

A = 10.5 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 7 and h = 3 , then

A = 0.5 × 7 × 3 = 10.5 cm²

Answer:

A = 10.5 cm²

Step-by-step explanation:

hope this helps

Answer:

I don't know how to explain it well but i got part of my notes and i solved it and i got D. 144 and i got it checked and it was correct

Step-by-step explanation:

Sorry for not helping sooner

Answer: 6

Step-by-step explanation: The answer is 6