The expression 3a + 2b + c / d gives the average number of points a team earns in d games by winning a games in regulation, b games in overtime and losing c games in overtime. What is the average number of points earned for a team that wins 10 games in regulation, wins 8 in overtime, loses 6 in overtime, and loses 4 in regulation?

Postcard C is the same shape as the painting because they are in the same proportion.

It is defined as the law to prove that the two figures have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

It is given that:

A museum sells postcards of famous paintings.

Applying similarity law that states: The ratio of the corresponding sides is in the same proportions.

In poster A:

5/30.25 = 5/25.25

1/6.05 = 1/5.05

In the poster B:

8/30.25 = 4/25.25

1/3.78 = 1/6.312

In poster C:

6.05/30.25 = 5.05/25.25

1/5 = 1/5 (they are in the same proportion)

Thus, postcard C is the same shape as the painting because they are in the same proportion.

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Answer:

Write an equation to model the given context. Give your answer in simplest form.

The total for a pair of socks with a 15% sales tax.

The original price of an item less a discount of 5%.

Step-by-step explanation:

hhh cc to me the answer to this

Answer:

m∠PTQ = 40°

Step-by-step explanation:

From the picture attached,

Two lines PS and RQ are intersecting each other at a point T.

Vertical angles formed at the point of intersection T will be equal in measure.

m∠PTQ = m∠STR and m∠PTR = m∠QTS

Therefore, (x + 28)° = (2x + 16)°

28 - 16 = 2x - x

12 = x

m∠PTQ = (x + 28)°                            

             = 12 + 28

             = 40°

Therefore, measure of angle PTQ is 40°.

Answer:

These equations cannot be simplified anymore than what they are. Unless there is a certain way the teacher want it.

Step-by-step explanation:

Answer:

1. -9

2. -6

3. -4

4. -14

Step-by-step explanation:

if you add a negative and a negative it is still a negative. when you have a number minus a negative, it can be positive or a negative. you change the -(- to a + this is what I call chop slash. then you do -8 + 2 = -6 because you are at -8 and then go to the right of the number line 2 spaces. numbers 1 and 4 have the same rules and numbers 2 and 3 have the same rules.

Answer:

2.9 units

Step-by-step explanation:

Length of the radius = ½ of the distance between the two endpoints

Distance between (-2, 4) and (3, 1) using the formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] (-2, 4) = (x_1, y_1) [/tex]

[tex] (3, 1) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(3 - (-2))^2 + (1 - 4)^2} [/tex]

[tex] d = \sqrt{(5)^2 + (-3)^2} [/tex]

[tex] d = \sqrt{25 + 9} = \sqrt{34} [/tex]

[tex] d = 5.8 [/tex]

Length of radius = ½ of 5.8 = 2.9 units.

Answer:

0.45 is more

Step-by-step explanation:

:)

The square root of the number is √0.45 = 0.670 is greater than 0.229

Given data ,

Let the first number be represented as p

where the value of p = 0.45

Let the second number be represented as q

where q = 0.229

Now , the square root of the number is expressed as

A = √p

The radical form of a number refers to expressing a number using a radical symbol (√) to represent a root.

It is used to express the roots present in the number.

So , A = √0.45

On simplifying , we get

A = 0.670

And , the value of A > q

So , 0.670 > 0.229

Hence , the square root is A = √0.45 = 0.670

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Answer:

https://brainly.com/question/17024807

Step-by-step explanation:

This question was already asked and I don't want to take that person's credit, but I recommend you going to that link because it has steps, plus the answer!

Answer:

V= 3, 264.0

Step-by-step explanation:

Let me tell you something they didn't teach us in this lesson -_-

lwh + (1/2 bh) h

(20.4) (10) (11.2) + 1/2 (12) (8) (20.4)

2,284.8 + 979.2

= 3,264.0

I'm still confused they really did that to us i-

Answer:

you can make 6 omelets

Step-by-step explanation:

18/3 = 6

Step-by-step explanation:

A coefficent is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Or in other words, the number being multiplied with the variable. For example, the 4 in 4x.

The expression is -3x + 1. If we go back to the definition, the coefficient is the number combined with the variable.

So the answer is -3.

Hope it helps!

Answer:

[tex]D = 72.2\ yd[/tex]

Step-by-step explanation:

Given

[tex]Length\ (L)= 58\ yd[/tex]

[tex]Width \ (W)= 43\ yd[/tex]

Required

Determine the diagonal (D)

The relationship between D, L and W can be gotten using Pythagoras Theorem:

[tex]D^2 = L^2 + W^2[/tex]

Substitute values for L and W

[tex]D^2 = 58^2 + 43^2[/tex]

[tex]D^2 = 3364 + 1849[/tex]

[tex]D^2 = 5213[/tex]

Take Square root of both sides

[tex]D = \sqrt{5213}[/tex]

[tex]D = 72.2011080247[/tex]

[tex]D = 72.2\ yd[/tex] (Approximated)

Answer:

11/5

Step-by-step explanation:

2x+12+4-12x+6

-10x+22

x=22/10

x= 11/5

22/5+12+4=123/5-6

102/5=123/5-30/5

102/5=97/5

102/5-97/5

5/5

1

Answer:

7/2

Step-by-step explanation:

7/2= 3.5 so it is terminating

Answer:

False

Step-by-step explanation:

PEMDAS is your order of operations, so you would do the multiplication in the parenthesis first.

[tex](16-4*2) = (16-8) = 8[/tex]

16 isn't equal to 8 so the answer would be false.

Answer:8

Step-by-step explanation:4 times 2=8 so 16-8=8

Answer:

5/52 for getting a 5

7/52 for getting a 7

Answer:

Step-by-step explanation:

52 cards in a standard deck. Four 5's and four 7's.

4/52 = 5

4/52 = 7

4/52+4/52= 2/13

2/13 as a percent is 15.384615384615%

that simplified is 15.4%

or just 15%

:) Hope that helped.

y = total cost

x = # of hours

$12 + $8x = y

Answer:

the answer is y=8x=12

Step-by-step explanation:

Answer:

[tex]3.6 * 10^8 = 360000000[/tex]

[tex]1.2 * 10^4 = 12000[/tex]

Step-by-step explanation:

Given

[tex]3.6 * 10^8[/tex]

[tex]1.2 * 10^4[/tex]

Required

Solve

[tex]3.6 * 10^8[/tex]

Express [tex]10^8[/tex] as 100000000

[tex]3.6 * 10^8 = 3.6 * 100000000[/tex]

[tex]3.6 * 10^8 = 360000000[/tex]

[tex]1.2 * 10^4[/tex]

Express [tex]10^4[/tex] as 10000

[tex]1.2 * 10^4 = 1.2 * 10000[/tex]

[tex]1.2 * 10^4 = 12000[/tex]

Answer:

120 bars

Step-by-step explanation:

If Bill packs 10 candy bars in every box and there are 12 boxes in every shipping carton, then that would mean there are 12 sets of 10 candy bars. Meaning that you would multiply 10 by 12 since there are 12 boxes and 10 candy bars in each box (which would give you 120).

Answer:

36.67 %

Step-by-step explanation:

Pass mark = 110 marks

Total mark = 300 marks

Pass percentage=

[tex] \frac{pass \: mark}{pass \: percentage} \times 100[/tex]

Substitute values into the equation

[tex] \frac{110}{300} \times 100[/tex]

Cross cancel common factor: 100

[tex] \frac{110}{3} = 36 \frac{2}{3} \% \: or \: 36.67 \%[/tex]

Answer:

an acute angle

Step-by-step explanation:

acute angles measure 0-89 degrees

Answer:

acute angle

hope it helps;)

Answer:

Increase, Decrease

Step-by-step explanation:

Answer:

6 will the number......

Answer:

The missing side length is 5 cm

Step-by-step explanation:

We see that 4cm is on the top and 9 cm is on the bottom.

All we need to do is subtract 4 from 9

9-4=5

The missing side length is 5 cm

Hope this helps! Plz award Brainliest : )

Answer: The height of the building is 41.2 ft

Step-by-step explanation:

Here we want to find the height of the building.

To do so, the first step is to find the horizontal distance between the student and the car/bird (which represents the common cathetus between the two triangle rectangles).

For the top triangle rectangle, we know one cathetus and the hypotenuse, and we can use the Pythagorean's theorem to find the other cathetus.

A^2 + B^2 = H^2

Where A and B are the cathetus, and H is the hypotenuse.

Then we have:

20^2 + B^2 = 25^2

B^2 = 25^2 - 20^2

B = √( 25^2 - 20^2) = 15

Then the horizontal distance between the student and the car is 15ft, and we also know the angle at which this cathetus is adjacent, the angle is 70°.

Then we can use the relationship:

Tan(A) = (opposite cathetus)/(adjacent cathetus)

Where the opposite cathetus woud be the height of the building, then:

Tan(70°) = H/15ft

Tan(70°)*15ft = H = 41.2 ft

Answer:

1

Step-by-step explanation:2 and 6 are the first ones in each set so 6-2 is 4.4 and 1 are the second ones in each set 1-4 is -3 4+-3 is 1.

Answer:

The answer is B

Step-by-step explanation:

Primary sources are used most by historians but they also consider the opinions. Historians must think of the political views, and feelings. This is called subjective data. It can help identify possible bias within the facts or beliefs.

Hope this helps!

Answer:

-32/3

Step-by-step explanation:

Answer:

-18

Use a number line.

Since -18 is the farthest from 0, it is the answer. Hope it helps!