What is the slope of the line in this graph? please help urgent

Answer:

The son is 24 and the father is 48

Step-by-step explanation:

If you let x = the age of the child, then the father is 2x old since the father is twice as old as the son. The sum of their ages would be 1x + 2x which simplifies to 3x.

Since the problem gives the total of their ages as 72, we know that 3x = 72.

Dividing both sides by 3, we get x = 24, which we said was the age of the child.

Since the age of the father is 2x, we can say that 2x = 2(24), or 2x = 48 for the age of the father.

Answer:

(4,8)

Step-by-step explanation:

(x,y) on the X line it is at 4 and on the Y it is on 8 so that would be (4,8)

Answer:

Equation: 1=1

Length of the road after 16 days: 16 miles (if not adding to 53. if adding to 53, the answer is 69)

Explanation:
If they add one mile of road every day, its 1(mile) = 1(day.
Since its one mile every day, 16 days is 16 miles. Adding 53 + 16 = 69

Answer:

5% of his coins is 7

Step-by-step explanation:

140 X 0.05 = 7

Answer:

The formula to calculate the total surface area of a cylinder is expressed as, total surface area of cylinder = 2πr(r + h). This total surface area includes the area of the 2 bases (2πr2) and the curved surface area (2πrh). Here 'r' is the radius and 'h' is the height of the cylinder.

Step-by-step explanation:

The correct symbol in between numbers is,

⇒ 4/5 > 1/2

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The numbers are,

⇒ 4/5 and 1/2

Now, We can make denominator equal as;

LCM of 5, 2 = 10

Hence, We get;

⇒ 4/5

⇒ 8/10

⇒ 1/2

⇒ 5/10

Thus, We get;

⇒ 4/5 > 1/2

Therefore, The correct symbol in between numbers is,

⇒ 4/5 > 1/2

Learn more about the inequality visit:

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Answer:

4:1

Step-by-step explanation:

The number of marbles in the bag illustrates probability

The conclusion about the number of marbles in the bag is that the bag can only contain one type of marble

The probabilities are given as:

P(Red) = 1

P(Green) = 1

For a distribution, the sum of all probabilities must equal to 1.

This means that:

P(Red) + P(Green) = 1

So, we have:

1 + 1 = 1

This gives

2 = 1

The above equation is false because 2 does not equal to 1.

So, the conclusion about the number of marbles in the bag is that the bag can only contain one type of marble i.e. either red marbles are in the bag or blue marbles are in the bag

Read more about probability at:

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Answer:

$2.25

Step-by-step explanation:

You have to set up a proportion to show how much the cost of milk is when discounted per gallon. 0% off, the milk would be $3.75. 40% off, the milk would be x. Now I flipped the percents because that is how much you are actually paying.

Proportion would look something like this:

3.75/100 = x/60

solve for x:

225 = 100x

x= 2.25

Answer:

See below

Step-by-step explanation:

The change of base formula for logarithms is [tex]\log_a(x)=\frac{\log_b(x)}{\log_b(a)}[/tex]. This formula allows us to rewrite a logarithmic expression so that the new expression contains a different base.

Answer:

Round 55.99 to the nearest tenth is: 56.0

Answer:

[tex]\sf x^2+y^2=37[/tex]

Step-by-step explanation:

Equation of a circle:  [tex]\sf(x-h)^2+(y-k)^2=r^2[/tex]

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

Given the center is at (0, 0)

[tex]\sf \implies (x-0)^2+(y-0)^2=r^2[/tex]

[tex]\sf \implies x^2+y^2=r^2[/tex]

Given the circle passes through point (1, -6):

[tex]\sf \implies (1)^2+(-6)^2=r^2[/tex]

[tex]\sf \implies r^2=37[/tex]

Therefore, the equation of the circle is:

[tex]\sf \implies x^2+y^2=37[/tex]

Equation of a circle passing through origin

So

As (1,-6) lies on circle it will satisfy

Now

equation of the circle

Answer:

x = 22.6 degrees

Step-by-step explanation:

The triangle is a right triangle which means that you can use trigonometry to find the values for each angle.

cos(x) = opposite / hypotenouse.

So cos(x) = 12/13.

You can then solve using a calculator and find that the angle is 22.6 degrees.

Answer:

see explanation

Step-by-step explanation:

the figure is an isosceles trapezium

The legs are congruent , that is

BC = AD = 15 units

The upper base angles are congruent , so

∠ B = ∠ A = 145°

Any lower base angle is supplementary to any upper base angle, that is

∠ C + ∠ B = 180°

∠ C + 145° = 180° ( subtract 145° from both sides )

∠ C = 35°

The lower base angles are congruent , so

∠ D = ∠ C = 35°

Answer:

x = -9

Step-by-step explanation:

find x for -3 + x = 2 (x+3)

-3 + x = 2 (x + 3) <== distribute

-3 + x = 2x + 6 <== subtract 1x from both sides

   -x     -x

-3 = x + 6 <== subtract 6 from both sides

-6       -6

-9 = x or x = -9

Hope this helps!

Given Equation :

[tex]{\longrightarrow \pmb{\sf {\qquad - \: 3+x=2(x+3)}}} \\ \\[/tex]

Solution :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x=2(x+3)}}} \\ \\[/tex]

Using Distributive property for the right side we get :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x=2x+ 6 }}} \\ \\[/tex]

Now, subtracting 2x from both sides we get :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3+x - 2x =2x - 2x + 6 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad - \: 3- x = 6 }}} \\ \\[/tex]

Now, Adding 3 to both sides we get :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad - \: 3 + 3- x = 6 + 3 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad- \: x = 9 }}} \\ \\[/tex]

Now, Multiplying both sides by (-1) we get :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (- 1)(- x) = ( - 1)9 }}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad x = - 6 }}} \\ \\[/tex]

Therefore,

Answer:

Step-by-step explanation:

Remark

What you want to do is get r on one side of the equal sign and everything else on the other.

Givens

V = pi r^2 h

Solution

Divide by pi

V/pi = pi r^2 h/pi

V/p = r^2 * h

Divide by h

V / h pi = r^2 h / h              Cancel h on the right side. Turn equation around

r^2 =  V / h pi

Take the square root of both sides

√r^2 = √(V / h pi )

r = √ (V / h pi)

Answer r =√ (V / h pi)

Answer:

Cubic centimetres

Step-by-step explanation:

Cubic centimetres is perfect

As

Answer:
I believe it is Option C.

Step-by-step explanation:

There has only been one single tie since the passing of the 12th Amendment. It is a very low chance for a possible tie to take place, so they would have no reason to ensure it doesn't happen as it's already unlikely, ruling out option D. Giving two people the same rank would definitely make a difference as you are basically adding not 1, but two votes. Though it would even the count out, each person would gain 1 point, so it would make a difference. Option B is ruled out. This also potentially explains debunking A as there's no possible way to plan a tie to that extent. Again. ties happen very rarely, so it would be unlikely that voting for both candidates would impact the choice at all.

Answer:

can you clear more I don't understand

Answer:

An integer is a WHOLE number. No fractions and no decimals. so it would be... no, yes, yes, no, yes

Step-by-step explanation:

To clarify because they try to be tricky here. 27/3 is actually equal to 9 when simplified. Same thing with 40/8... when simplified it equals 5. Both are whole numbers and therefore integers.

Answer:

-76 is an integer and 27/3 and 40/8 could also be as well

Step-by-step explanation:

27/3 is and integer because if you simplify it, it equals 9, an integer. Same for 40/8, it equals 5.

set : {31, 76, 34, 35, 39, 49, 55}

arrange ascending to descending:

{ 31, 34, 35, 39, 49, 55, 76 }

given,

I.Q.R:

Answer:

21

Step-by-step explanation:

Place the numbers in order from smallest to largest:

31, 34, 35, 39, 49, 55, 76

The median (Q2) is the middle value = 39

Q1 is the middle value of the numbers smaller than the median = 34

Q3 is the middle value of the numbers larger than the median = 55

IQR = Q3 - Q1

      = 55 - 34

      = 21

Answer:

63 square inches

Step-by-step explanation:

You already have the polgygon divided into two rectangles, so we will use them.

The top rectangle has the dimensions of 5 and 9.

The bottom rectangle has the dimensions of 6 and 3.

To find the area of a rectangle:

area = length x width

A = lw

The area of the top rectangle:

A = 5 x 9

A = 45 square inches

The area of the bottom rectangle:

A = 6 x 3

A = 18 square inches

To find the total area, add the two areas together.

45 + 18 = 63 square inches

To find this answer, we need to understand how to get the Volume.

We get the volume by the formula: L x W x H

L = Length

W = Width

H = Height

So, we can see that there are 3 units required to know for getting the volume, if that's true, then, to do the inverse operation of finding the volume. That can be done by using thie formula:

[tex]V=a^3[/tex]

a= edge

Solving for a

a=V⅓=216⅓=6

now, let's look at how to find whether our answer is right or wrong

6x6=36

36x6=216

So hence, our answer is right!

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The length of a betta fish tank that has a shape of a cube and volume of 216 cubic inches is 6 inches.

A cube has all its sides equal to each other. Therefore,

volume of cube = L³

where

Therefore,

L = >

volume = 216 cubic inches

volume of cube = L³

216 = L³

cube root both sides

∛216 = ∛L³

L = ∛216

L = 6 inches

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Answer:

Mean (Average): 21.44444

Median (Middle): 22

Mode (Most Common): 29

Step-by-step explanation:

Perimeter of square

Perimeter of two sides of triangle:-

Perimeter of circle excluding diameter line

Total perimeter

Answer:

The answer is 25

Step-by-step explanation:

Answer:

a no. is the answer

Step-by-step explanation:

b=a+13

or, 14 = 1+13

or, 14= 14 {True}

Answer:

b=a+13

b=1+13

b=14

again,

b=a+13

b=6+13

b=19

so the relationship between a & b is b=a+13