The teacher told her students that her age is "8 more than a, times 2." Write an expression to show the teacher's age.

Answer:

5 pizzas

12p=60

Step-by-step explanation: just divide 60 by 12 and then you get 5

#1

Just follow the naming

#2

Note the adjacent angles of JK

Answer:

 (a)  A and B are similar but not congruent

Step-by-step explanation:

All of the rectangles have sides in the ratio of 2:1, so are all similar. Only the rectangles that are the same size are congruent: A and C.

 A and B are similar, but not congruent.

Answer:

B

Step-by-step explanation:

As you can see if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

The pair of functions that are inverses of each other will be f(x) = 10x - 5. g(x) = x - 5/10. so option B is correct.

Function is a type of relation, or rule, that maps one input to specific single output. Inverse means that the function is reversed from the original function, f(x).

A:  The original function, f(x) = x/8 + 3. g(x) = 8x - 3. they are not inverse functions.

B:  The original function, f(x) = 10x - 5. g(x) = x - 5/10. they are inverse functions.

C:  The original function, f(x) = 4/x - 3. g(x) = 1/x + 3/ 4, they are not inverse functions.

Hence, the pair of functions that are inverses of each other will be f(x) = 10x - 5. g(x) = x - 5/10. so option B is correct.

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Answer:

z= 4

Step-by-step explanation:

5 z +4 = 24

If we put z = 4 Then ,

5 × 4 + 4

= 24

hence value of z is 4 .

Answer:

30 scarfs

Step-by-step explanation:

If he has 2700 yards of yarn, and each scarf is 90 yards to make. We have to divide the total amount of yarn by how much it costs to make.

2,700 / 90 = 30

Step-by-step explanation:

Slope formula:

[tex]\frac{y2}{x2} -\frac{y1}{x1} =m[/tex]

m = slope

Find 2 points from the graph:

Substitute the points into the formula:

[tex]\frac{-3}{4} -\frac{4}{-2}[/tex]

Solve:

[tex]\frac{-3}{4} -\frac{4}{-2}=\frac{-7}{6}[/tex]

The slope equals -(7/6) or -1 1/6.

Answer:

[tex] \displaystyle{8 \frac{3}{4} \div 2 \frac{7}{8} }[/tex]

Convert the mixed fractions into improper fractions.

[tex]\displaystyle{ \frac{8 \times 4 + 3}{4} \div \frac{8 \times 2 + 7}{8} }[/tex]

[tex]\displaystyle{ \frac{32 + 3}{4} \div \frac{16 + 7}{8} }[/tex]

[tex]\displaystyle{ \frac{35}{4} \div \frac{23}{8} }[/tex]

[tex]\displaystyle{ \frac{35}{4} \times \frac{8}{23} }[/tex]

[tex]\displaystyle{ \frac{35}{ \cancel4} \times \frac{ \cancel8 {}^{2} }{23} }[/tex]

[tex] \displaystyle{ \frac{35 \times 2}{23} }[/tex]

[tex] \displaystyle{ \frac{70}{23} }[/tex]

[tex] \displaystyle{3 \frac{1}{23} }[/tex]

Label the points A,B,C

Let's find the distance from A to B, aka find the length of segment AB.

We use the distance formula.

[tex]A = (x_1,y_1) = (1,2) \text{ and } B = (x_2, y_2) = (4,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(1-4)^2 + (2-5)^2}\\\\d = \sqrt{(-3)^2 + (-3)^2}\\\\d = \sqrt{9 + 9}\\\\d = \sqrt{18}\\\\d = \sqrt{9*2}\\\\d = \sqrt{9}*\sqrt{2}\\\\d = 3\sqrt{2}\\\\[/tex]

Segment AB is exactly [tex]3\sqrt{2}[/tex] units long.

Now let's find the distance from B to C

[tex]B = (x_1,y_1) = (4,5) \text{ and } C = (x_2, y_2) = (8,9)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(4-8)^2 + (5-9)^2}\\\\d = \sqrt{(-4)^2 + (-4)^2}\\\\d = \sqrt{16 + 16}\\\\d = \sqrt{32}\\\\d = \sqrt{16*2}\\\\d = \sqrt{16}*\sqrt{2}\\\\d = 4\sqrt{2}\\\\[/tex]

Segment BC is exactly [tex]4\sqrt{2}[/tex] units long.

Adding these segments gives

[tex]AB+BC = 3\sqrt{2}+4\sqrt{2} = 7\sqrt{2}[/tex]

----------------------

Now if A,B,C are collinear then AB+BC should get the length of AC.

AB+BC = AC

Let's calculate the distance from A to C

[tex]A = (x_1,y_1) = (1,2) \text{ and } C = (x_2, y_2) = (8,9)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(1-8)^2 + (2-9)^2}\\\\d = \sqrt{(-7)^2 + (-7)^2}\\\\d = \sqrt{49 + 49}\\\\d = \sqrt{98}\\\\d = \sqrt{49*2}\\\\d = \sqrt{49}*\sqrt{2}\\\\d = 7\sqrt{2}\\\\[/tex]

AC is exactly [tex]7\sqrt{2}[/tex] units long.

Therefore, we've shown that AB+BC = AC is a true equation.

This proves that A,B,C are collinear.

For more information, check out the segment addition postulate.

Answer:

x=-2

but it's sample space is 33 in the sequence

therefore

the p(a)=-2/33

Considering the median, the missing value of the data-set is of 31.

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

In this problem, since the set has even cardinality, the median is the mean of the middle elements, which are 23 and x. Since it is of 27, we have that:

(23 + x)/2 = 27

23 + x = 54

x = 31

Hence, the missing value of the data-set is of 31.

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Answer: 2.5 and 87.5 degrees

Step-by-step explanation:

Answer:

17.5

Step-by-step explanation:

8 : 10 = 14 : x

8x = 10*14 = 140

x = 140/8 = 17.5 cm

Answer:

y = 23

Step-by-step explanation:

5y - 4 + 3y = 180

8y = 180 + 4

8y = 184

y = 184/8

y = 23

Answer:

4

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

Answer:

Ali is about 5-6 due to him having a larger stomach capacity.

Step-by-step explanation:

5-6 year olds would definitely eat about 4 cookies if somebody held 5, since they are open to sugary things, and they would eat possibly anything.

PLEASE MARK ME AS THE BRAINLIEST.

Answer:

Applying the formula, it is found that the total amount in the account will be of $2,431.3. I THINK

Step-by-step explanation:

IM NOT SURE!

Answer:

Applying the formula, it is found that the total amount in the account will be of $2,431.3. I THINK

Step-by-step

Applying the formula, it is found that the total amount in the account will be of $2,431.3. I THINK explanation: maybe

Answer:

A

Step-by-step explanation:

because it reflects

Answer:The solution is in the attached file

Step-by-step explanation:

Answer:

5*4*9 = 20*9 = 180

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Triangle DCB is similar to Triangle ECA by AAA.

Since EA and DB are parallel lines, that makes Angle CDB = Angle CEA and Angle CBD = Angle CAE because they are corresponding angles.

Since the two triangles are parallel, we can set up a ratio.

[tex]\frac{CD}{CE} = \frac{CB}{CA}[/tex]

Now we plug in the numbers given.

[tex]\frac{6}{8} = \frac{9}{CA}[/tex]

Now we can cross multiply

6CA = 72

Therefore, CA = 12.

AB = CA - CB

So AB = 12 - 9

AB = 3

The TV screen is an illustration of a right triangle

The height of the TV screen is 124.6 cm

The diagonal is given as:

d = 156 cm

The angle at the top is given as:

Angle = 37 degrees

The height is then calculated using the following cosine ratio

[tex]\cos(37) = \frac h{156}[/tex]

Make h the subject

[tex]h = 156 * \cos(37)[/tex]

Evaluate

h = 124.6

Hence, the height of the TV screen is 124.6 cm

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Answer:

1.26 m cubed or D

Step-by-step explanation:

Multiply the Length x Height x width

hope you have a great day!

if it helped mark me as brainliest!

The volume of the rectangular prism is 1.26 [tex]m^3[/tex] .

                      V = 1.4 × 0.5 × 1.8

                      V = 1.26 [tex]m^3[/tex]

Thus, the volume of the given rectangular prism is 1.26 [tex]m^3[/tex] .

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Answer:

-4, -1, 3, 5, 6

Step-by-step explanation:

-4, -1, 3, 5, 6

Answer:

Least to greatest would be:

-4, -1, 3, 5, and then 6.

Answer:

D) causation

Explanation:

As when you do something which is here studying leads to contribution of getting better grades.

Answer:

D-causation

Step-by-step explanation:

Brainliest for brainliest

Answer: y = 9x - 14

Step-by-step explanation:

The equation of a line is y = mx + b

We know the slope is 9 so so far the equation we have is y = 9x + b.

Since we know (1,-5) is a point on the line, we can plug in the x and y values into the equation and we get:

-5 = 1*9 + b

-5 = 9 + b

b = -14.

Therefore, the equation of the line is y = 9x - 14

Hello.

Here we have a point that the line passes through: (1, -5)

We also have the line's slope: 9

Now, we have enough information to write the line's equation in Point-Slope Form:

[tex]\mathrm{y-y1=m(x-x1)}[/tex]

Plug in the values and solve:

[tex]\mathrm{y-(-5)=9(x-1)}[/tex]

[tex]\mathrm{y+5+9(x-1)}[/tex]

[tex]\mathrm{y+5=9x-9}[/tex]

[tex]\mathrm{y=9x-9-5}[/tex]

[tex]\mathrm{y=9x-14}[/tex]

Therefore, the answer is

[tex]\mathrm{y=9x-14}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

0.56

Step-by-step explanation:

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