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?

Answer:

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

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

Hope this helps

:)

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

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

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

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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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]

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

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:

Answer:

-30

Step-by-step explanation:

Answer:

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

PR5T - 47Y6 = 1998

Step-by-step explanation:

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]

Answer:

about 904.78

Step-by-step explanation:

πr^2h pi(6)^2 * 8

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

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

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

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! :)

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

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:

Answer:

I got 3x^2 -3x-60

but you might wanna check again.

Answer:

12

Step-by-step explanation:

Answer:

82 cm is the area of trapezoid

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:

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

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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.

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:

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]

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.

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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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!

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

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.

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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Answer: - √2

Step-by-step explanation:

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