Is this a proportional relationship

Points scored by Adam, Bethany and Charles are 25, 17 and 30 respectively.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Given that,

Adam scored 8 more points than Charles,

And Bethany scored 5 more points than Adam.

Also, total score is 72.

Let points scored by Adam is x,

Then point scored by Charles = x-8,

And point scored by Bethany = x+5.

Since, total score = 72

x + x-8 + x+5 = 72

3x - 3 = 72

3x = 75

x = 25

Points scored by Adam is x = 25,

Point scored by Charles = x-8 = 17,

And point scored by Bethany = x+5 = 30.

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Answer: 65°

Step-by-step explanation: We are assuming that these lines are ║.

If two parallel lines are cut by a transversal,

then alternate interior angles are congruent.

Since x and 65 lie on alternate side of the transversal and

on the interior of the two lines, we know that x = 65.

Answer:

1.3

Step-by-step explanation:

Just divide the top by the bottom.

Answer:

1.3

Step-by-step explanation:

If we divide 13 by 10, our answer is 1.3. This makes sense since the proper fraction would be 1 & 3/10 (one and three-tenths.) Three-tenths is equal to 30% or 0.3.

12 is its average rate of change from x = 2 to x = 10.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Given the function defined by y = x^2

now,

its average rate of change from x = 2 to x = 10,=

=10^2-2^2/10-2

=100-4/8

96/8

=12

Hence, 12 is its average rate of change from x = 2 to x = 10.

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Answer:

240

Step-by-step explanation:

by minusing the both values it'll be 240

The rate at which the storage space of the mobile gets filled by the movie is - 60 MB per minute.

Given that,
A student buys a movie to watch on her phone
it will download at a constant rate.
After 3 minutes, she checks her phone and sees that she has 2,345 MB of space available.
She checks her phone after 7 minutes and notices that she now has 2,105 MB of space available.

The rate of change is defined as the change in value with the rest of the time is called rate of change.

Here,

Rate = (storage available after 3 minutes) - (storage available after 7 min)]
             ---------------------------------------------------------------------------------------------
                                              Time interval

Rate = (2,345 - 2105 ) / (3 - 7)
Rate = - 240 / - 4
Rate = - 60

Where negative sign shows that the amount of storage getting reduced.

Thus, the rate at which the storage space of the mobile gets filled by the movie is - 60 MB per minute.

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Answer:

For number 2 that is going to be 1 4/5

number 3 is going to be 5 4/7

Number 4 is going to be 8 1/3

Number 5 is going to be 3 1/6

Number 6 is going to be 6 3/11

Step-by-step explanation:

I hoped this helps

Answer:

320

Step-by-step explanation:

i hop it work

Answer:

i think... x=6

Step-by-step explanation:

3x+9=x+21

3x−x=12

2x=12

x=6

Answer: Perpendicular

Step-by-step explanation: Took the quiz :)

Answer:

It is <uvx and <WVS..........

Answer:

<uvx and <wvs

Step-by-step explanation:

Other vertical angles include:

<xvw and <uvs

<vst and <rsq

<rsv and <qst

Vertical angles are angles that are on opposite sides of eachother and are equal to eachother.

Answer:

The missing sides are 50 inches and 48 inches long.

Step-by-step explanation:

Let the lengths of the other two sides be x inches and y inches

And let x represent the length of the longest side.

From the question,

The difference between the lengths of the other two sides is 2 inches. That is,

x - y = 2 ...... (1)

The three sides of the right triangle are x, y, and 14 inches long.

From the Pythagorean theorem, " In a right triangle, the square of the longest side equals sum of squares of the other two sides"

Here, the longest side is x

Hence, we can write that

x² = y² + 14²

∴ x² = y² + 196 ...... (2)

Now, we have two equations, we can then solve simultaneously.

From equation (1)

x - y = 2

∴ x = y + 2 ...... (3)

Put this into equation (2)

x² = y² + 196

(y+2)² = y² + 196

y² + 4y + 4 = y² + 196

4y + 4 = 196

4y = 196 - 4

4y = 192

y = 192/4

y = 48

To determine x, we will substitute the value of y into equation (3)

x = y + 2

∴ x = 48 + 2

x = 50

Hence, x = 50 and y = 48

Since the lengths of the other two sides are x inches and y inches,

Hence, the missing sides are 50 inches and 48 inches.

Answer:

B

Step-by-step explanation:

Don't know how to type those here so see attachment

Answer:

x = √29

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + 2^2 = c^2

25 + 4 = c^2

29 = c^2

√29 = √c^2

√29 = c

x = √29

Answer:

The equation is 12 + 1.5w = 26

Step-by-step explanation:

Each week running = 12 miles

He wants to increase the number of miles he runs each week by 1.5 miles until he is running a total of 26 miles each week.

12 + 1.5w = 26

Where,

w = number of weeks to reach his goal

12 + 1.5w = 26

1.5w = 26 - 12

1.5w = 14

Divide both sides by 1.5

w = 14 / 1.5

= 9.33 weeks

Answer:

C. y = -2/3x -2

Step-by-step explanation:

We know the slope is negative. You can find slope using rise/run. The y-intercept is -2 because the line meets -2 at the y-intercept.    

Answer:

The first answer (top)

Step-by-step explanation:

Standard form is ax+by=c

a and b are the coefficients

Take a point from the given line

I chose (0, -2)

Then, plug in the values of x and y

2*0+3*-2=-6

-6=-6

Since it works the standard form of the line is 2x+3y=-6

Answer:

x = 6 lb

Step-by-step explanation:

Let

Total weight of the candy = x

3/20x + 1.2 lb + 3/5x + 0.3 lb = x

3/20x + 3/5x + 1.5 lb = x

3x+12x/20 + 1.5 lb = x

15/20x + 1.5 = x

1.5 = x - 15/20x

1.5 =20x -15x /20

1.5 = 5/20x

1.5 = 1/4x

x = 1.5 ÷ 1/4

= 1.5 × 4/1

= 6

x = 6 lb

Answer:

B) 17

Step-by-step explanation:

3 (12 - 8) + 5

(3 x 12) - (3 x 8) + 5

(36 - 24) + 5

12 + 5

17

Answer:

T=-11

Step-by-step explanation:

y2-y1/x2-x1

=t-(-1)/9-10

=t+1/9-10

=t+1/-1

=-11+1/1

=-10/1

=-10

Hope this helps :)

Answer:

b=12.20

Step-by-step explanation:

its asking for a triangle. there are two legs (the straight sides) and a hypotenuse*.( the slanted one) the formula for finding a missing side is a2+b2=c2. (squared) then you plug in your numbers. and c2 is always the slanted side while a and b are the legs. Sorry this was late tho.

Answer:

7.15 times 5 plus 5.75=$41.5

Step-by-step explanation:

Answer:

$41.50

Step-by-step explanation:

Given :

Liam has a bag of b beads.

He gives 20 beads to his sister.

He then makes 4 necklaces with the same of beads on each necklace using all of the remaining beads.

To Find :

Write an expression that represents the number of beads on each necklace.

Solution :

Number of necklace remains after giving 20 beads to his sister is ( b - 20 ).

Number of beads on each necklace using all of the remaining beads  is :

[tex]N=\dfrac{b-20}{4}[/tex]

Hence, this is the required solution.

Answer:

Calories from both fat and carbohydrates = 900 calories/day

Step-by-step explanation:

Number of calories eaten by Sandra per day = 2000 calories/day

Calories from fat = [tex]\frac{1}{4}[/tex] of the total number of calories per day

OR

Calories from fat = [tex]\frac{1}{4}\times 2000 = 500\ calories/day[/tex]

Calories from carbohydrates = [tex]\frac{1}{5}[/tex] of the total number of calories per day

OR

Calories from carbohydrates = [tex]\frac{1}{5}\times 2000 = 400\ calories/day[/tex]

To find the total number of calories from both fat and carbohydrates, we need to add the calories from fat and calories from carbohydrates as calculated above.

Calories from both fat and carbohydrates = Calories from fat + Calories from carbohydrates = 500 + 400 = 900 calories/day

Answer:Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. ... So, the measure of angle A + angle B + angle C = 180 degrees. ... If a triangle is equilateral, what is the degree measure of each of its angles?

Step-by-step explanation:

Answer-

the sum of the degree measures of angles in any triangle equals 180 degrees. ... So, the measure of angle A + angle B + angle C = 180 degrees. ... If a triangle is equilateral, what is the degree measure of each of its angles?

Answer:

27/70

Step-by-step explanation:

This is simple: First, you multiply the numerators. 3x9 is 27. That is the numerator to your answer.

Next, you multiply the denominators. 7x10 is 70. That's the denominator to the answer.

Put them together and you get 27/70.

Hope I helped!!!

Answer:

a=0.8

Step-by-step explanation:

First I distributed 2.5 into (a+4) and got (2.5a+10)+0.5a=12.4. I then combined like terms which are 2.5a and 0.5a and got 3a+10=12.4. I subtracted 10 from both sides to get rid of it and got 3a=2.4. Later, I divided 3 from both sides to get a which comes out to be 0.8.

Hope this helps you :)

Answer:

14.98

Step-by-step explanation:

1

8.78

6.20

---------

14.98

Answer:

14.98

Step-by-step explanation:

8.78

+6.2

--------

14.98

you want to imagine 6.2 like 6.20

so...

8.78

+6.20

----------

14.98

the 8 goes down 7+2=9 the (.) goes down 8+6=14 14.98

hope this helps :)

Answer:

y = 6

Step-by-step explanation:

2(y - 3) = y

2y - 6 = y

y = 6

Hope that works out :)

Answer:

a

Step-by-step explanation:

Answer:the answer is A

Step-by-step explanation:i just took the test

Answer: (A.)

Step-by-step explanation: Hope This Helps!