Fitness Classes cost £6 per person. The table shows the number of people who go to the classes on Thursday, Friday and Saturday.
The teacher earns 90% of the total paid.
How much does the teacher earn altogether on these days?
(4 marks)

Answer:

x = -11

Step-by-step explanation:

-3x + 6 = 39

Combine Like Terms

-3x = 33

Divide Each Term then simplify

x = -11

Hope This Helps!

Answer:

x=-11

Step-by-step explanation:

In order to solve for x, we have to get x isolated.

To do that, we must perform the inverse operations to both sides of the equation.

-3x+6=39

6 is being added on to -3x. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.

-3x+6-6=39-6

-3x=39-6

-3x=33

x is being multiplied by -3. The inverse of multiplication is division. Divide both sides by -3.

-3x/-3= 33/-3

x= 33/-3

x=-11

Answer:

80 feet

Step-by-step explanation:

Given that x is the horizontal distance in feet and  f(x) is the vertical distance in feet. The minimum point of a function is its lowest point. For a quadratic equation, at its minimum or  maximum point, the slope of the graph is equal to zero.

For the table of the function given below, it can be seen that the lowest point occurs when x = 80 feet, at this point, the value of f(x) is at its lowest which is 0.

Therefore at the minimum point, it is 80 feet far from the wall .

Answer:

The answer is C!

Step-by-step explanation:

Your welcome

Answer:

niamah : jack

2 : 5

2×3 : 5×3

6 : 15

niamah gets 6 pencils

jack gets 15 pencils

*6+15 = 21

Answer:

Step-by-step explanation:

If the ratio of Niamah to Jack is 2:5, that means that for every 2 pencils that N gets, J gets 5. If there are a total of 21 pencils, then

2x + 5x = 21 and

7x = 21 so

x = 3.

That means that N gets 2(3) which is 6, and J gets 5(3) which is 15. Notice that 6:15 is the same ratio as 2:5 when it is reduced.

Answer:

Step-by-step explanation:

Our P is 72300; our r is .071, e is Euler's number (a constant) and t is 19 years. Filling in:

[tex]V=72300e^{(.071)(19)}[/tex] and

[tex]V=72300e^{1.349[/tex] and

V = 72300(3.853570033) so

V = $278,613.11

Answer:

A

Step-by-step explanation:

1.5 does not equal 0.15 or the other values.

Answer:

A: 0.714

Step-by-step explanation:

four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. for a total of 7 jerseys

3 even + 3 purple - the purple even ( no double counting) = 5

P( purple or even) = purple or even / total

                              = 5/7

                              = .71428

Answer:

The answer is 48.

Step-by-step explanation:

The formula for discriminant, D = b² - 4ac. Then you have to substitute the following values into the formula :

[tex]D = {b}^{2} - 4ac[/tex]

[tex]let \: a = 2 \\ let \: b = \sqrt{32} \\ let \: c = - 2[/tex]

[tex]D = {( \sqrt{32} )}^{2} - 4(2)( - 2)[/tex]

[tex]D = 32 + 16[/tex]

[tex]D = 48[/tex]

Answer:

4 cm

Step-by-step explanation:

Given is an isosceles triangle. Therefore it's two sides will have equal lengths.

Let the length remaining sides be x cm.

[tex]x + x + 2 \frac{3}{4} = 10 \frac{3}{4} \\ \\ 2x + \frac{11}{4} = \frac{43}{4} \\ \\ 2x = \frac{43}{4} - \frac{11}{4} \\ \\ 2x = \frac{32}{4} \\ \\ 2x = 8 \\ \\ x = \frac{8}{2} \\ \\ \huge \red{ \boxed{x = 4 \: cm \: }}[/tex]

Answer:

No. Leaders Date of death

1 Vladimir Lenin January 21, 1924

2 Joseph Stalin March 5, 1953

3 Georgy Malenkov January 14, 1988

4 Nikita Khrushchev September 11, 1971

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Using the exact values for

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] and tan60° = [tex]\sqrt{3}[/tex] , then

2(cos²45° + tan²60°)

= 2( ([tex]\frac{1}{\sqrt{2} }[/tex] )² + ([tex]\sqrt{3}[/tex] )² )

= 2( [tex]\frac{1}{2}[/tex] + 3 )  ← distribute

= 1 + 6

= 7

Answer:

C

Step-by-step explanation:

M = K

N = L

M + K + N + L = 360

Answer:

C

Step-by-step explanation:

Answer:

21.98

Step-by-step explanation:

C = Dπ

D = 7

7 * 3.14 = 21.98

Answer:

You can prove that they are the same because 2 angles opposite each other are equal the same.

Hope this helps

Answer:

I answered this already for you :) Check your other question

Answer:

81

Step-by-step explanation:

sin 31 = 42/x

x sin 31 = 42

x = (sin 31)/42

Answer:

9 554/603

Step-by-step explanation:

If you add 2/6 and 8/9 you get 554/603. You could try simplifying this answer just to check but I don't think you can simplify it.

Answer:

10  2/9

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When you add two fractions with an equal denominator, you can simply add together the numerators. If it is a mixed fraction, you leave the integer alone unless the sum of the numerators is greater than the denominator, in which case you rewrite the fraction appropriately.

6/19 + 1 2/19= 1+ (6+2)/19 = 1 8/19, not 1 9/19. Therefore, the correct answer is choice B. Hope this helps!

Answer: the correct answers is $14.50

Step-by-step explanation:

The amount that the cafe pays per hour will be $14.50 per hour.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given,

The rate of the library = $13 per hour.

For 12.5 hours.

Earning from library = 13 x 12.5 = $162.5

Cafe pay per hour = x

For 20.5 hours.

Earning from cafe = 20.5x

Total earning = 162.5 + 20.5x

20.5x = 459.75 - 162.5

x = 14.5

Hence "The amount that the cafe pays per hour will be $14.50 per hour".

For more about the linear function,

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Answer:

They would fall in the same year every 10 years

Step-by-step explanation:

Here in this question, we are interrelated in calculating the number of years it will take the alumni reunion and the alumni soccer game to fall in the same year.

Now looking at the number of years, we can see we have every 2 and every 10 years

To get the year in which they happen at the same time, we can simply find the lowest common multiple of 2 and 10 and that would be 10

This can be visualized in a way that;

The reunion has happened now, and will happen in the next 10 years.

Now since the soccer game has happened now, in the next 10 years, we shall be having 5 episodes. This means that it will take up to the 10th year before we have the soccer game and the alumni reunion occurring at the same time and the mathematical reason for this is that , 10 is the lowest common multiple of 10 and 2

Answer:

1 times

Step-by-step explanation:

Hello,

The alumni have reunions every 10 years

But also have football games every 2 years

We have to find how often do the football and reunion fall the same year.

Working with a space of 10 years

In 10 years, reunions happen only once

In 10 years, soccer games happen five times

Assuming we're in the year 2020,

The next reunion would likely occur in year 2030.

But soccer games will happen in year 2022, 2024, 2026, 2028 and finally 2030.

Checking both soccer and reunion coincidence, we can only find one which is in year 2030.

So, soccer games and reunions happen once in 10 years

Answer:

B) x = -4

Step-by-step explanation:

[tex]\frac{1}{4}x-\frac{1}{8}=\frac{7}{8}+\frac{1}{2}x\\\\\frac{1}{4}x-\frac{1}{2}x-\frac{1}{8}=\frac{7}{8}\\\\\frac{1}{4}x-\frac{1}{2}x=\frac{7}{8}+\frac{1}{8}\\\\\frac{1}{4}x-\frac{1*2}{2*2}=\frac{7+1}{8}\\\\\frac{1}{4}x-\frac{2}{4}x=1\\\\\frac{1-2}{4}x=1\\\\\frac{-1}{4}x=1\\\\x=1*\frac{-4}{1}\\\\x=-4[/tex]

Answer:

d=-2 c=-3

Step-by-step explanation:

3c-8d=7

4(c+2d=-7)

3c-8d=7

4c+8d=-28

4c+3c-8d+8d=7-28

7c=-21

c=-3

c+2d=-7

-3+2d=-7

2d=-4

d=-2

Given.

[tex](3c-8d=7)=(c+2d=-7)[/tex]

Multiply 4 to the second equation.

[tex]4(c+2d=-7)[/tex]

[tex]3c+8d=-28[/tex]

Compare the like terms.

[tex]4c+3c-8d+8d=7-28[/tex]

Solve.

[tex]7c=-21[/tex]

Divide 7 to both sides

[tex]\frac{7c}{7}=\frac{-21}{7}[/tex]

[tex]c=-3[/tex]

Substitute (-3) for c into the original second equation.

[tex]c+2d=-7[/tex]

[tex]-3+2d=-7[/tex]

Add (3) to both sides.

[tex](-3+2d=-7)+3[/tex]

[tex]2d=-4[/tex]

Divide (2) to both sides.

[tex]\frac{2d}{2}=\frac{-4}{2}[/tex]

[tex]d=-2[/tex]

Check your work.

[tex]3(-3)-8(-2)=7[/tex]

[tex]-9+16=7[/tex]

[tex]7=7[/tex]

[tex]c+2d=-7[/tex]

[tex]-3+2(-2)=-7[/tex]

[tex]-3-4=-7[/tex]

[tex]-7=-7[/tex]

Therefore your answer is.

[tex]c=-3\\d=-2[/tex]

Answer:

C. Decreasing

Step-by-step explanation:

Answer:

d. (3, 8)

Step-by-step explanation:

the coordinates of point W " on the final image is (3 8) Solution-means first the point is translated left by 4 units and translated up by 2 units then it is reflected across y axis. (the rules follow right to left approach) The co-ordinate of point W is ( 1 6 ). After 4 units translation to left and 2 units translation to up the co-ordinates

Answer:

A=61.8\ units^2

Step-by-step explanation:

Answer:

Angela should multiply the outside number by the numbers in the parenthesis.

Step-by-step explanation:

The rule of distributive property:

[tex]a(b+c)=ab+ac[/tex]

You have to multiply the outside number by numbers in the parentheses.

Example:

[tex]3(2+4)\\\text {Distribute 3 into the parenthesis:}\\\left \{ {{3*2=6} \atop {3*4=12}} \right.\\ \text {So:}\\\boxed{3(2+4)=6+12}[/tex]

Answer:

its muiltiply

Step-by-step explanation:

i promise

Answer:

no

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

9x4-(2x12)

= 36-24

= 12

I think the answer is A. conductor

Answer:

Step-by-step explanation:

Its insulation because the clothing traps in your body heat.

Answer:

(2x−3)(x−5)

Step-by-step explanation:

Factor 2x^2−13x+15

2x^2−13x+15

=(2x−3)(x−5)

hope this helps

-lvr

Answer:

Factored: (2x-3)(x-5)

Solving with quadratic formula: X= 5, 3/2

Step-by-step explanation:

Answer:

Well I can't exactly graph for you but I will tell you the y intercept is at (0,-3) and the slope is -5/4

Step-by-step explanation:

Make a graph and plot a point on (0,-3)

Then go down 5 and go right 4 to represent the slope of -5/4

Hope this helps!

The graph of line y= -5/4x -3 is attached below.

We have the equation

y= -5/4x - 3.

To graph the line y = -5/4x - 3, you can use the slope-intercept form of a linear equation, which is y = mx + b.

In this equation, "m" represents the slope, and "b" represents the y-intercept.

From the given equation, we can determine that the

slope (m) is -5/4, and the y-intercept (b) is -3.

The graph of the line y = -5/4x - 3 should look like a downward-sloping line that passes through the points (0, -3), (4, -8), and (-4, -2).

Learn more about Graph here:

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