Tom earns £10 an hour and his wife earns £2 an hour more than Tom. Write a formula for their total earnings T for h hours.

Answer:

B. x

Step-by-step explanation:

The answer would be graph x. A function must be that one x value should only have one y value. graph w doesn't work since when you plug in 0, you get two y's. same thing with z. Y doesn't work since at x value of 3, it curves back so x value 2 has 2 y's. X is the only one that each x value has only one y.

Answer:

X

Step-by-step explanation:

For a relationship to be a function, every input has exactly one output, so for every x value there is only one value.

If you look at answer's w and z for x=1 there is two y values, therefore they are not functions, letter Y is tricky. Even though every x value has only one y value, If you were to extend the graph x=0 would have more than one y values.

That leaves X.  If you extend the graph of X every x value will only have one y value so it is a function

Answer:

x > -2/5

Step-by-step explanation:

To solve this, you need to divide -5 on both sides to isolate x.

-5x < 2

x > -2/5

Because we divided by a negative number, the sign has to change direction.

Answer:

You can find the difference of two numbers easier if you take the absolute value of them (which is canseling out the negative or positive of them, and figuring out how far away from 0 they are) |-10| = 10, |-3| = 3, the difference between 10 and 3 is 7. The only problem that arises is now we are dealing with and negative and a positive, for this one you must see that to get from -3 to zero, you need to add 3, and to get from 0 to 4, you need to add 4, if you add 3, and then 4, you get 7

The difference between 10 and 3 is 7

The difference between -3 and 4 is 7

So naturally, the next number will be 4 + 7 = 11

Hope that helped!

Answer:

Lateral surface area is the area of the sides, not including the base and top area, while total surface area is the entire surface area (including sides, base, and top).

Answer:

2 1/2

Step-by-step explanation:

Answer:

2 1/2

Step-by-step explanation:

Since P is at -4 and you want a number that is 6 1/2 units away from it. You are either adding 6 1/2 to it or subtracting 6 1/2 to that number.

-4 + 6 1/2 = 2 1/2

-4 - 6 1/2 = -10 1/2

Also if you count 6 and 1/2 notches in either directions from -4, you will also get both of those answers.

The multiple choice only gives you the 2 1/2 option so that is the one they are looking for.

Answer:

It represents a non-proportional relationship

Step-by-step explanation:

because in order for it to be proportional it has to pass (0,0) but this equation's y-intercept is (0,3).

Answer:

You can use y − y1 = m(x − x1) and get 2-y= 1/6(9-3) so y = 1

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

85 is half way between 60 and 110.

Half way means the middle point from where both the point are at equal distance.

Given two numbers as follows:

Number1=60

Number2=110

To calculate a half way number between two number as follows:

=(Number1+Number2)/2

=(60+110)/2

=85

To check weater 85 is half way between 60 and 110

subtract 60 from 85 we get 25

subtract 85 from 110 we get 25

Thus both the numbers are  25 units away from 85.

So, 85 is half way between 60 and 110.

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Answer: Xy=7

Step-by-step explanation: so if xz is the median it hits in the middle of WY and since the legnth of WY is given the length of xy is 7

Answer: X

Step-by-step explanation: IF YOU ROTATE IT IT STAYS THE SAME SHAPE

Answer:

X

Step-by-step explanation:

Answer:

I belive the answer is b

Step-by-step explanation:

hope this helps !!!

9514 1404 393

Answer:

  195 ft

Step-by-step explanation:

The relationship between the horizontal distance, angle, and vertical height is given by ...

  Tan = Opposite/Adjacent

Referring to the attached diagram, we have ...

  tan(16°) = BT/MB

  tan(25°) = BK/MB

Solving for BT and BK, we can describe their difference as ...

  BT = MB·tan(16°)

  BK = MB·tan(25°)

  BK -BT = 35 = MB(tan(25°) -tan(16°))

Dividing by the coefficient of MB gives ...

  MB = 35/(tan(25°) -tan(16°)) = 35/0.179562

  MB = 195 . . . feet

Marcos is standing 195 feet from the base of the tree.

Answer: The answer is 327

Explanation: 93×100/25 = 327

Answer:

The line equation of the line is:

Step-by-step explanation:

Given the two points

Finding the slope between (0,3) and (8,0)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:0\right)[/tex]

[tex]m=\frac{0-3}{8-0}[/tex]

[tex]m=-\frac{3}{8}[/tex]

Therefore, the slope of the line: m = -3/8

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -3/8 and the point (0,3)

[tex]y-3=-\frac{3}{8}\left(x-0\right)[/tex]

[tex]y-3=-\frac{3}{8}x[/tex]

Add 3 to both sides

[tex]y-3+3=-\frac{3}{8}x+3[/tex]

Simplify

[tex]y=-\frac{3}{8}x+3[/tex]

Therefore, the line equation of the line is:

Answer:

The windowpane is 15 centimeters wide.

Step-by-step explanation:

Use the Pythagorean theorem:

a^2 + b^2 = c^2

20^2 + b^2 = 25^2

400 + b^2 = 625

b^2 = 225

b = 15

Answer:

c.positive

Step-by-step explanation:

Answer:

577

Step-by-step explanation:

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Answer:

.8 or 4/5ths cup

Step-by-step explanation:

divide number of bottles by cups

4 1/2 is 4.5

5 5/8 is 5.625

4.5/5.625 = .8 (or 4/5ths)

Answer:

260m

Step-by-step explanation:

32 would be=80

20 would be=50

80+80+50+50=260

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Answer:

D

Step-by-step explanation:

10² + 14² = -17.20²

-17.20² = 2sqrt74

Answer:

C 296 ft

Step-by-step explanation:

hypotenuse^2 = side1^2 + side2^2

==> hypotenuse^2 = 10^2 + 14^2

==> hypotenuse^2 = 100 + 196

==> hypotenuse^2 = 296

==> hypotenuse = square root (296)

==> hypotenuse = 17.2046505

The length of the missing side = 296 in radical form

Answer:

V = 1200π

Step-by-step explanation:

Volume of a cylinder formula:

Let's find the height of the cylinder by multiplying 20 cm by 3/5.

The radius is 1/2 of the diameter, so:

Substitute 12 for h and 10 for r into the volume formula.

Simplify.

The volume of a cylinder, in terms of π, is V = 1200π.

Answer: 1. X=4

2. X=12

3. X=5

4. B=1

Step-by-step explanation:

Answer: x = 250

Step-by-step explanation:

-17 + x/5 = 33

+17 on each side to get rid of the 17

x/5 = 50

Multiply each side by 5 to cancle out the 5 and isolate the variable

x = 250

Answer:

(3x+21)(x-5)

Step-by-step explanation:

To solve this let's create an equation that has intercepts at -7 and 5

To do this we get the following

(x+7)(x-5)

Now we need to make sure that the line passes through (4,-33) To do so we will plug in 4 to see how far off we are

If you plug in 4 into x you should get -11

To make y= -33 we simply need to put a three in the front and then distribute it to the first bracket

So we have

3(x+7)(x-5)

then distribute the 3 to get

(3x+21)(x-5)

I doubled checked this answer on desmos and my math is correct

D) None of the above, since it is not a closed figure.

Answer:

-0.3

Step-by-step explanation:

I think it is -0.3 because the other ones wouldn't make any sense if you put in on the number line but I'll come back when I finish the test to tell you if its right :)

Edit** It is correct I just took the test :)

For the point that divides the line segment XY into a ratio of 1:2,

Y value is -0.3.

Option A is correct

In coordinate geometry, Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. It is used to find out the centroid, incenter and ex-centers of a triangle.

Given point

X = ([tex]x_{1},y_{1}[/tex]) = (-6,-1)

Y = ([tex]x_{2} ,y_{2}[/tex]) = (5,1)

Ratio = 1:2

For point (x1, y1) and (x2, y2) on coordinate plane if is divided in ratio of m:n.

Then section formula is given by [tex](\frac{mx_{2}+nx_{1} }{m+n},\frac{my_{2}+ny_{1} }{m+n})[/tex].

Using the section formula,

[tex](\frac{mx_{2}+nx_{1} }{m+n},\frac{my_{2}+ny_{1} }{m+n})[/tex]

= [tex](\frac{(1)(5)+2(-6)}{1+2} , \frac{1(1)+2(-1)}{1+2})[/tex]

= [tex](\frac{5-12}{3} ,\frac{1-2}{3})[/tex]

= [tex](\frac{-7}{3} ,\frac{-1}{3})[/tex]

x = -2.3 and y = -0.3

For the point that divides the line segment XY into a ratio of 1:2,

y value is -0.3.

Option A is correct

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