Liam is a tyre fitter.
It takes him 56 minutes to fit 4 tyres to a van.

a) How long would it take him to fit 12 tyres to three vans?
b) If he works for 42 minutes, how many tyres can he fit?

Answers

Answer 1

Answer:

a) 168 mins

b) 3 tyres

Step-by-step explanation:

a) 56 mins= 1 van

168 mins= 3 vans

b) 56/4= 14

42/14=3

3 tyres

Answer 2

Answer:

a) 168 minutes

b) 3 tyres

Step-by-step explanation:

a) 56:4

   x  :12

   4x=672

   x=672/4

      =168

b) 56:4

   42:x

   168=56x

   x=168/56

   x=3


Related Questions

Find the circumference of a circle whose area is 24 ft2

Answers

Answer: [tex]17.33ft[/tex]

Step-by-step explanation:

We need to go from area to radius to circumference.

Formula for the area:

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

Solve for r;

Divide by pi

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

Extract the square root.

[tex]r=\sqrt{\frac{A}{\pi} }[/tex]

Plug in the value of the area.

[tex]r=\sqrt{\frac{24ft^2}{3.14} } \\r=2.76ft[/tex]

Now that you've found the radius, use the circumference formula to calculate it.

[tex]C=2\pi r\\C=2(3.14)(2.76ft)\\C=17.33ft[/tex]

What is the distance between the points (4, 5) and (10, 13) on a coordinate plane?

A. 10 units
B. 14 units
C. 12 units
D. 8 units

Answers

Answer:

10

Step-by-step explanation:

Distance = √(x2-x1)² + (y2-y1)²

d = √(10-4)² + (13-5)²

d = √6² + 8²

d = √36+364

d = √100

d = 10

Pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeease

Answers

Answer:

1. 5

2. 1

3. 2

4. 23

Step-by-step explanation:

If y=6x+5, you can plug in the known x or y value to get the other with this function. For the first row, y=6(0)+5=5. For the second row, 11=6x+5, and that x=1. For the third row, x is 2, and for the fourth row y is 23. Hope this helps!

Marsha has two cubes with one number on each side,each cube is numbered from 1 to 6 marsha rolls both number cubes at the same time. What is the probability that the total of numbers facing up will equal 12

Answers

Answer:

1/36

Step-by-step explanation:

If the cubes are numbered from 1 to 6 there is just one way that the sum of both of them equals 12 and this is when Marsha gets 6 in the first cube and 6 in the other.

Thus, to know what the probability that the total of numbers facing up will equal 12 we would have to calculate the probability that the first cube is 6 AND the second one is also 6.

The probability that the first cube has the number 6 is: 1/6

The probability that the second cube has the number 6 is: 1/6

We need to multiply this numbers because they both have to be 6 (rule of multiplication),

so: [tex]\frac{1}{6}(\frac{1}{6} )= \frac{1}{36}[/tex]

Thus, the probability that the sum of them equals 12 is 1/36

3. Which of the following represents a function?
O (5, 1), (5,2), (5, 3), (5, 4)
O (-1,2), (-2, 1), (-1, -2), (-2,-1)
O (3, 4), (-3, 2), (3, 8), (5,5)
O (2, 3), (4, 3), (-2, -3), (-4,-3)

Answers

Answer: D is a function.

Step-by-step explanation:

A function need to have exactly one output to each input.

Answer: D. (2, 3), (4, 3), (-2, -3), (-4,-3)

Step-by-step explanation: This represents a function because they're the opposing of each other. Hope this helps happy holidays! :)

What are the domain and range of the logarithmic
function f(x) = log7X? Use the inverse function to
justify your answers.

Answers

Answer:

The domain of f is x > 0.

The range of f is all real numbers.

The domain of the inverse function is all real numbers.

The range of the inverse function is y > 0.

The domain of f is the same as the

range of the inverse function.

The range of f is the same as the

the domain of the inverse function.

Step-by-step explanation:

this is the sample answer, make sure you rewrite in your own words!

The domain and the range of a function are the set of input and output values of the function

The domain and the range of the function are set of real numbers greater than 0

The function is given as:

[tex]f(x) = log_7(x)[/tex]

The above function is a logarithmic function.

From the properties of a logarithmic function, we have:

The x-values are always greater than 0The y-values are always greater than 0

This means that, the domain and the range of the function are set of real numbers greater than 0

Read more about domain and range at:

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what's the change in Dana's profit from Saturday to sunday? simplify the expression

Answers

Answer:

14 did this lesson rn

Step-by-step explanation:

The required change in Dana's profit is given as $12, as of the given condition.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
On Saturday Dana's profit = -$2
On Sunday Dans;s profit = $12
Change in Dana's profit = 12 - 2 = $12

Thus, the required change in Dana's profit is given as $12.

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Someone help me please

Answers

Step-by-step explanation:

Step 1:  Convert degrees into radians

[tex]\frac{degrees}{1}*\frac{\pi }{180}[/tex]

[tex]\frac{52}{1}*\frac{\pi}{180}[/tex]

[tex]\frac{52\pi}{180}[/tex]

[tex]\frac{13\pi}{45}[/tex]

Step 2:  Find the arc length

[tex]S = r\theta[/tex]

[tex]S=(3)(\frac{13\pi}{45})[/tex]

[tex]S = \frac{39\pi}{45}[/tex]

[tex]S=\frac{13\pi}{15}[/tex]

Answer: Option B

Two random samples were taken to determine how often people in a community listen to the local radio station each month.

The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20.

The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12.

Which statements are true? Check all that apply.
A. The second sample is random.
B. The second sample is likely to be more representative of the population.
C. The first sample is likely to be more representative of the population.
D. The second sample will give a better representation because is it larger.
E. The first sample will give a better representation because it is smaller.
F. Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.

Answers

Answer:

1 2 4 6. Tell me if im wrong.

Step-by-step explanation:

Answer:

yes the answer is   1   2   4   6  

Step-by-step explanation:

4
Select the correct answer from each drop-down menu.
A line parallel to the
has no defined slope, and a line parallel to the
has a slope of zero.
X-axis
Reset
Next
y-axis
020 Edmentum. All rights reserved.
Com​

Answers

Answer:

Step-by-step explanation:

A line parallel to y-axis has no defined slope  and line parallel to x-axis has a slope of zero.

3. Find x, y, and z.


y
18°
64°​

Answers

Answer:

[tex]y = 18 \: \: degrees[/tex]( vertically opposite angles)

[tex]x = 64 \: \: degrees[/tex]

[tex]y + z + x = 180 \\ 18 + z + 64 = 180 \\ 82 + z = 180 \\ z = 180 - 82 \\ z = 98 \: \: degrees[/tex]

These two I don’t know

Answers

Answer:

In this subtraction, PR5T and 47Y6 represent 4-digit numbers. What number does PR5T represent?

PR5T - 47Y6 = 1998

Step-by-step explanation:

ASAP WILL MARK BRAINLEST
What is the number of possible combinations of 8 objects taken 6 at a time?

Answers

The number of possible combinations of 8 objects taken 6 at a time is 28. Then the correct option is D.

What is a combination?

Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

The number of possible combinations of 8 objects taken 6 at a time.

Then the number of the combination is given as

[tex]\rm ^8C_6 = \dfrac{8!}{(8-6)! 6!}\\\\\\^8C_6 = \dfrac{8 \times 7 \times 6!}{2 \times 1 6!}\\\\\\^8C_6 = 7 \times 4\\\\\\^8C_6 = 28[/tex]

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Determine the volume of the cylinder

Answers

Answer:

about 904.78

Step-by-step explanation:

πr^2h pi(6)^2 * 8

find the area of the following trapezoid

Answers

Answer:

12

Step-by-step explanation:

Answer:

82 cm is the area of trapezoid

At 8:00 am, it is 10 degrees outside. 12 hours later at 8:00 pm, it is -20 degrees outside. What is the difference in temperatures?

Answers

Answer:

-30

Step-by-step explanation:

What is the end behavior of the polynomial function?

Answers

Answer:

D) as x approaches neg. infinity, y approaches neg. infinity

Step-by-step explanation:

This is because you get to negative x infinity which is towards the right, you see that the y value is going down sharply as well towards the direction of negative infinity in y direction (x direction is right to left and y direction is up and down)

Answer:

D one Edge 2021 ;))

Step-by-step explanation:

3(x + 4)(x – 5)
Find the product

Answers

Answer:

I got 3x^2 -3x-60

but you might wanna check again.

4x + 7 is what i got! hope this helps :)

(x - 3)² + (x - 1)² = 8
Identify the center and radius of each

Answers

Answer:

The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]

Step-by-step explanation:

I am going to assume you meant to write

[tex](x-3)^2+(y-1)^2 = 8[/tex]

Since if both variables were x it would not be a circle:

Then you can find the center and radius using the general formula of a circle:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

where the center is at (h,k) and r is the radius

Therefore:

The center is at (3,1) and the radius is [tex]\sqrt{8}[/tex]

solve for x using the master product.

2x^2 + 7x – 9 = 0

Answers

Answer:

x = - 4.5, and x = 1

Step-by-step explanation:

~ Let us solve for x through factorization, but first change the equation to an expression for the simplicity ~

1. First break this expression into groups ⇒ ( 2x^2 - 2x ) + ( 9x - 9 )

2. Now factor 2x from 2x^2 - 2x ⇒ 2x ( x - 1 )

3. Now factor 9 from 9x - 9 ⇒ 9 ( x - 1 )

3. Combine these factored expressions ⇒ 2x ( x - 1 ) + 9 ( x - 1 )

4. Factor out common term x - 1 ⇒ ( 2x + 9 )( x - 1 )

5. Now add 0 to this expression as provided in the start: ( 2x + 9 )( x - 1 ) = 0

6. And now we recieve two answers, calculated through zero product property ⇒ 2x + 9 = 0   and   x - 1 = 0,  ⇒ 2x = - 9   and    x = 1   ⇒

x = - 4.5, and x = 1

The solution of the given expression would be as x = - 4.5, and x = 1.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

First we have to break this expression into groups

[tex]( 2x^2 - 2x ) + ( 9x - 9 )[/tex]

Now factor 2x

2x ( x - 1 )

Now factor 9 from 9x

9 ( x - 1 )

Combine these factored expressions as;

2x ( x - 1 ) + 9 ( x - 1 )

Then Factor out common term;

( 2x + 9 )( x - 1 )

Then add 0 to this expression as provided in the start;

( 2x + 9 )( x - 1 ) = 0

By zero product property

2x + 9 = 0   and   x - 1 = 0,  

⇒ 2x = - 9   and    x = 1  

x = - 4.5, and x = 1

The solution of the given expression would be as x = - 4.5, and x = 1.

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Find the exact value of sin 315º in simplest form with a rational denominator.

Answers

Answer: - √2

Step-by-step explanation:

Collins Middle School’s basketball team won 75% of their games. If they lost 4 games, how many games did they win?

Answers

Answer:

12

Step-by-step explanation:

We are told that the school won 75% of the games, this means that the school lost:

100% - 75% = 25%

the school lost 25% of the games that equate to 4 games:

Games          Percentage

    4           ⇔       25%

I will call 'x' the number of games that they won, which is the 75%:

Games          Percentage

    4           ⇔       25%

    x           ⇔       75%

we can solve this problem using the rule of three: multiply the cross quantities on the table (4 by 75) and then we divide by the remaining number on the table (25), thus the number of games they won is:

x = 4*75/25

x = 300/25

x = 12

they won 12 games

Another (perhaps simpler) way to find this same result is:

we know that 25% equals 4 games,

if we want 75%, this is 3 times more than 25% (because 25% times 3 is 75%) thus, the result (number of games they won) is 3 times more than 4:

4 * 3 = 12

Describe how multiplying all the linear dimensions of a cone by one
fourth affects the volume of the solid. *

Answers

Answer:[tex]\frac{1}{64}^{th}[/tex]

Step-by-step explanation:

Given

Suppose V is the original volume of cone having r as radius and h as height

If we multiply all the linear dimensions of ac one by [tex]\frac{1}{4}^{th}[/tex]

the [tex]r'=\frac{r}{4}[/tex]

[tex]h'=\frac{h}{4}[/tex]

Therefore new volume is

[tex]V'=\frac{1}{3}\pi r'^2h'[/tex]

[tex]V'=\frac{1}{3}\pi (\frac{r}{4})^2(\frac{h}{4})[/tex]

[tex]V'=\frac{1}{64}\times \frac{1}{3}\pi r^2h[/tex]

[tex]V'=\frac{V}{64}[/tex]

So new volume becomes [tex]\frac{1}{64}^{th}[/tex] of the original one

You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?

Answers

Answer:

$555,765.76

Step-by-step explanation:

1

2

4

8

16

32

64

128

256

512

1024

2048

4096

8192

16282

32564

65128

13256

26512

53024

106048

212096

424192

868384

1736768

3473536

6947072

13894144

27788288

55576576=

555,765.76

The money would you have after 30 days is  $555,765.76.

A penny that doubles each day for 30 days.

We have to determine the money would you have after 30 days.

We have to determine for 30 days,

1

2

4

8

16

32

64

128

256

512

1024

2048

4096

8192

16282

32564

65128

13256

26512

53024

106048

212096

424192

868384

1736768

3473536

What is money?

money, a commodity accepted by general consent as a medium of economic exchange. It is the medium in which prices and values are expressed as currency,

6947072

13894144

27788288

55576576=555,765.76

Therefore we get the money would you have after 30 days $555,765.76.

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A 16-ounce package of cereal costs $4.00. What is the unit cost?
$0.25
1 oz.
4 oz
$1.00
$1.00
4 Oz.
1 oz.
30.25

Answers

Answer:

$0.25

Step-by-step explanation:

Unit price is the price for a single unit . It is given price of 16 ounce package of cereal is $4.00. We need to find price of 1 ounce package. 1 ounce package of cereal will cost 4÷16=$0.25

Answer:

oz over .25

Step-by-step explanation:

A house is valued at 213,000.After several years,the value increased by 8%.How much did the house value increase in dollars?.What is the current value of the house?

Answers

Answer:

The house value increase by $17,040 in dollar terms

The current value of the house $ 230,040

Step-by-step explanation:

The increase in value of the house can be determined as the difference between the value of the house now after 8% increase in value and the earlier value of $213,000

new value=earlier value *(1+% increase in value)

% increase in value is 8%

new value=$213,000*(1+8%)

                 =$213,000*1.08=$230,040.00  

increase in value= $230,040-$213,000=$17,040

The increase in value of the house of 8% translated into a dollar value of $17,040

help me plzzzzzzz!!!!

[tex] {y}^{2} + 14 = 3 {y}^{2} \times 5[/tex]​

Answers

Answer:

[tex]y=1,\:y=-1[/tex]

Step-by-step explanation:

[tex]y^2+14=3y^2\cdot \:5\\\y^2+14-14=3y^2\cdot \:5-14\\y^2=15y^2-14\\y^2-15y^2=15y^2-14-15y^2\\-14y^2=-14\\\frac{-14y^2}{-14}=\frac{-14}{-14}\\y^2=1\\\\y=\sqrt{1},\:y=-\sqrt{1}\\y=1,\:y=-1[/tex]

Answer:

y = ± 1

Step-by-step explanation:

Given

y² + 14 = 3y² × 5, that is

y² + 14 = 15y² ( subtract y² from both sides )

14 = 14y² ( divide both sides by 14 )

1 = y² ( take the square root of both sides )

± [tex]\sqrt{1}[/tex] = y , that is

y = ± 1

Thus y = - 1 or y = 1


What is the volume of a rectangular prism with a length of 12 feet, a width of 7 feet, and a height of 8 feet?

Answers

Answer:

672

Step-by-step explanation:

V=LWH

V=12*7*8

V=672

Answer:

672 ft cubed

Step-by-step explanation:

L x W x H = Area of a Rectangular Prism

12 x 7 x 8 = 672 ft cubed

Pleaaaase hellp me will mark u brainly for both answers!!!
Thank u if u do really appreciate it.

Answers

Answer:

1. Option A is correct (A = length x width)

2. Option B is correct ( A = base x height/2)

Hope this helps

:)

how much water do you need if you have 12 cups of flour?​

Answers

8 Cups Of Water Is What You Need For The 12 Cups Of Flour
Answer:

I think that the correct answer is 8 cups of water.

I hope this helps you!!!
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