Which graph is a Linear function of x?

Answer:

1 5/6 is on the twelfth line/tick mark. 2 1/3 is on the 15 line/tick mark.

Step-by-step explanation:

Go to the 1 and count up five lines. (5/6) For the 2nd one convert the 1/3 into 6ths. You now have 2 2/6. go to the 2 and count up 2 lines.

Answer:

the answers are A) 18p^3r and D) 54p^3

Good luck! :)

Answer:

A) 18p³r

D) 54p³

Step-by-step explanation:

The term 6p³ multiplies into (or goes into) both 18p³r and 54p³.

Answer:26

Step-by-step explanation:

2x(8+5)

2x13=26

The ratio of boys to girls will be 15 : 13.

There are 28 students in all.

The fraction of the students are girls will be 13/28.

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

A class contains 13 girls and 15 boys.

Now,

Since, A class contains 13 girls and 15 boys.

Hence, Number of total students = 13 + 15

                                                   = 28

So, The ratio of boys to girls = Number of boys : Number of girls

                                             = 15 : 13

Hence, Number of total students = 13 + 15

                                                   = 28

And, The fraction of the students are girls is;

= Number of girls / Number of students

= 13 / 28

Thus, The ratio of boys to girls = 15 : 13.

Total number of students = 28

And, The fraction of the students are girls = 13/28.

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The front wheel turns around approximately 300 times.

To determine how many times Gia's bicycle wheel turns around during her 1,884 feet ride, we need to calculate the circumference of the wheel and then divide the total distance traveled by the circumference.

The diameter of the wheel is 24 inches. To find the circumference (C), we use the formula C = pi x d, where d is the diameter, and (pi) is approximately 3.14159.

C = 3.14159 x 24 inches = 75.39816 inches.

Next, we need to convert the distance Gia rode her bike from feet to inches because the circumference is in inches. There are 12 inches in a foot, so

1,884 feet x 12 inches/foot = 22,608 inches.

Now we divide the total distance traveled in inches by the circumference of the wheel to find out how many full revolutions there are:

22,608 inches / 75.39816 inches/revolution ≈ 300 revolutions.

To the nearest whole number, Gia's front bicycle wheel turns all the way around 300 times.

Answer: option c

Step-by-step explanation:

margin of error = critical value × s/√n

Where s = sample standard deviation = 0.58, n = 53

The critical value = 1.96 ( this is the critical value for a two test test corresponding to a level of significance of 5%)

By substituting the parameters, we have that

Margin of error = 1.96×0.58/√53

Margin of error = 1.96 × 0.0796

Margin of error = 0.156 ~ 0.16

Answer:

0.16 oz

Step-by-step explanation:

One sample cup will hold 11.51 ounces of fluid.

Step-by-step explanation:

Diameter of cone shaped cup = 4 inches

Radius = [tex]\frac{Diameter}{2}=\frac{4}{2}=2\ inches[/tex]

Height of cup = 5 inches

Volume of cone = [tex]\pi r^2 \frac{h}{3}[/tex]

Putting values

Volume of cone = [tex]3.14*(2)^2*\frac{5}{3}\\[/tex]

Volume of cone = [tex]3.14*4*\frac{5}{3}=\frac{62.8}{3}[/tex]

Volume of cone = 20.93 inches cubed

Amount of fluid in one cubic inch = 0.55 ounces

Amount of fluid in 20.93 cubic inches = 0.55*20.93 = 11.51 ounces

One sample cup will hold 11.51 ounces of fluid.

Answer: 75 percent of the chicken are hens.

Answer:

x=2, y= -1

Step-by-step explanation:

Please see attached picture for full solution.

Answer: x= -2; y = 3

Step-by-step explanation:

y=-2x – 1

y = 8x + 19   -  

replacing "y"

-2x – 1 = 8x + 19

-2x - 8x = 19 + 1

-10x = 20

x = 20/-10

x= -2

y=-2x – 1

y= -2.(-2) - 1

y= 4 - 1

y = 3

Answer:

B

Step-by-step explanation:

If it is inscribed in the circle that means all four corners of the square are touching the circle

so therefore the diagonal of the square is the diameter of the circle

the side lengths of the square as you know is 7 units ([tex]\sqrt{49[/tex]) the length of the diagonal is [tex]7\sqrt{2}[/tex] heres how I know

If you cut the square in half through the centre diagonally you will get a right  isosceles triangle, using the pythagorus theorum

[tex]7^2+7^2=C^2\\49+49=C^2\\98=C^2\\\sqrt{98}=C\\C=7\sqrt{x}[/tex]

Now we have the diameter

it's just half of that, so the answer is B

For a square inscribed in a circle, the length of the diagonal of the square equals the diameter of the circle. Given the area of the square is 49 units, the length of a side is 7 units, and thus the diagonal (or diameter of the circle) is 7√2 units. Therefore, the radius of the circle is half of the diameter, which is (7√2)/2 units.

In this question, we need to determine the radius of a circle in which a square is inscribed. The square has an area of 49 square units. In a square inscribed in a circle, the diameter of the circle is equal to the diagonal of the square. Thus, if 'a' is the length of a side of the square, the length of the diagonal, which is the diameter of the circle, is 'a√2'.

Given that the area of the square is 49 units, 'a^2=49' or 'a=7' units. Therefore, 'a√2' = '7√2' units. As this is the diameter, the radius of the circle is half of the diameter thus, it equals '(7√2)/2' units. Which means option b '(7√2)/2' units is the correct answer.

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Answer: answer is D, descriptive, because the scientists are writing down observations but not making comparisons

Step-by-step explanation:

According to the question, the scientists were making individual notes on their observation about shape, colour, size and other characteristics of the living cells. We do not have enough information to show that they were making comparisons.

I hope this helps.

Answer:

anwser D

Step-by-step explanation:

discreptive because scientist are writing dow explanations

Answer:

√143

4π

√79+√63

Step-by-step explanation:

√143 gives 11.958

4π = 4 times 22/7 = 12.57

√79+√63 gives 16.825

In ascending order, i.e from the least to the greatest, we have

11.958

12.57

16.825

Which is same as

√143

4π

√79+√63

Answer: $240

Step-by-step explanation:

Simple interest= Principal x Rate x Time

Where P= 1600, R= 5% = 0.05, T=3

= 1600 x 0.05 x 3

$240

Time taken by the car to cover 260 km is 2.6 hrs

Step-by-step explanation:

Speed = Distance/Time = 150/1.5 = 100 km/hr

Time = Distance/Speed = 260/100 = 2.6 hrs

Answer:

2/3

Step-by-step explanation:

2 / (1/a + 1/b)

2 / (1/1 + 1/(½))

2 / (1 + 2)

2/3

The harmonic mean is [tex]2\div 3[/tex]

Since the string lengths of 1 and 1/2

So,

[tex]= 2 \div (1/a + 1/b)\\\\= 2 \div (1/1 + 1/(1\div 2))\\\\= 2 \div (1 + 2) \\\\= 2\div 3[/tex]

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Answer:

15,825

Step-by-step explanation:

Because it is a square divide 63,300 by 4.

Ratio of areas of similar triangles is 9 : 25.

Solution:

Given data:

Ratio of sides of two similar triangles = 3 : 5

To find the ratio of areas of the triangles:

We know that,

In two triangles are similar, then the ratio of their area is equal to the square of the ratio of their sides.

[tex]$\text{Ratio of areas} = \frac{\text{Area of triangle 1}}{\text{Area of triangle 2} }[/tex]

                      [tex]$=\left(\frac{3}{5}\right) ^2[/tex]

                      [tex]$=\frac{9}{25}[/tex]

Ratio of areas of similar triangles is 9 : 25.

Answer:

16

:

81

Explanation:

Scale factor for the sides of these triangles.

k

=

4

9

.

Therefore the ratio of area will be:

k

2

=

Area Triangle A

Area triangle B

k

2

=

(

4

9

)

2

=

16

81

Answer:

17=p+8

Step-by-step explanation:

Start by setting the equation equal to 17 on either the right or left side. Now, on the opposite side of the equation read out what the question is saying.

"8 more than a number (p)" the variable would be p, and 8 more than p is 17. Now that you have that in mind, write 17 is equal to p plus 8.

17=p+8

If the question asks you to solve this equation for p, subtract 8 from both sides to get 9 for p.

I hope this is easy to understand.

Answer:

  w > 20

Step-by-step explanation:

Perhaps you want the solution to the inequality 2w+5>45.

Subtract 5:

  2w > 40

Divide by 2:

  w > 20 . . . . this is the solution

_____

Comment on solving inequalities

An inequality is solved in virtually the same way that an equation is solved: undo what is done to the variable. The only difference is that when you perform an operation that reverses the ordering, you need to reverse the ordering symbol.

Multiplying or dividing by a negative number will reverse the ordering. Consider, for example, ...

  2 > 1

Multiplying both sides by -1, we get ...

  -2 < -1 . . . . . the > sign needs to be reversed to a < sign to keep the inequality true

Answer:

Step-by-step explanation:

they were exchanged for iron, guns, gunpowder, mirrors, knives, cloth, and bead

Answer:

16 inches

Step-by-step explanation:

The perimeter of the tile is 16 inches. The perimeter of a shape is the total length of all of its sides added together.

In this case, the tile has two sides that are 6 inches long and two sides that are 2 inches long.

To find the perimeter, we can add all of the side lengths together:

Perimeter = 6 inches + 6 inches + 2 inches + 2 inches

Perimeter = 16 inches

Therefore, the perimeter of the tile is 16 inches.

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Answer: Johnny will have 12 soap bottles left

Answer: 49m

Step-by-step explanation:

4m, 1m and 2m add up to 7m on the right side. so, L x W= 7x7 which is 49

Answer:  37.5 is 5% of 57.6923077

Step-by-step explanation:

The number where 75% of it equals 37.5 is 50.

To find the number, we can set up an equation based on the given information: 75% of a certain number is equal to 37.5. Mathematically, this can be represented as:

0.75x = 37.5

To isolate x, we can divide both sides of the equation by 0.75:

x = 37.5 / 0.75

Evaluating the division:

x = 50

Therefore, the number we are looking for is 50.

The equation 0.75x = 37.5 states that 75% (or 0.75 as a decimal) of a certain number x is equal to 37.5. By dividing both sides of the equation by 0.75, we "undo" the multiplication and solve for x. Dividing 37.5 by 0.75 gives us the value of 50.

To check our solution, we can substitute x = 50 back into the original equation:

0.75 x 50 = 37.5

37.5 = 37.5

The equation holds true, confirming that 50 is indeed the number where 75% of it equals 37.5.

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Answer:

$467.05

Step-by-step explanation:

The price is $562

First, 20% off of that:

562 - 20% of 562 = 562 - 0.2(562) = $449.60

Second, he has to pay 6% tax on this amount, so:

6% = 6/100 = 0.06

449.60 + 0.06*449.60 = $476.58

He won't be paying this amount, because paying through credit card will give him 2% discount on this, so:

476.58 - 0.02(476.58) = $467.05

Final Price: $467.05

Answer:

$8.75

Step-by-step explanation:

He had $60 to spend on sports equipment.

He bought 6 footballs and was left with $7.50

First get the amount used in buying all the footballs

That’s

$60 - $7.50 = $52.5

He bought the 6 balls for $52.5

Therefore, amout paid for each football will be amount spent in buying the footballs divided by number of footballs bought

That’s

$52.5/6 = $8.75

Each football cost $8.75

Option B: 13.9 is the value of y

Explanation:

Given triangle is a right angled triangle.

The legs of the triangle are 8 and y.

The hypotenuse of the triangle is x.

And the angle opposite to y is 60°

We need to determine the value of y.

Let us find the value of y using the tangent formula.

The formula for tan is given by

[tex]tan \ \theta=\frac{opp}{adj}[/tex]

Since, we know that [tex]\theta = 60^{\circ[/tex] , [tex]opp=y[/tex] and [tex]adj=8[/tex]

Substituting these values in the formula, we get,

[tex]tan \ 60^{\circ}=\frac{y}{8}[/tex]

Multiplying both sides by 8, we have,

[tex]8\times tan \ 60^{\circ}=y[/tex]

Substituting the value of [tex]\tan 60^{\circ}[/tex] , we get,

[tex]8\times 1.732=y[/tex]

Simplifying, we have,

[tex]13.856=y[/tex]

Rounding off, we get,

[tex]13.9=y[/tex]

Thus, the value of y is 13.9

Hence, Option B is the correct answer.