Sarah reads 51 pages in 17 days.
Sarah's unit rate is _________ pages per day.
Must show work!

9514 1404 393

Answer:

  A. 6b³

  B. 6b +6

  C. p = 0.0375(6b³ +b +1)

  D. $115.54

Step-by-step explanation:

Given:

  3 candles with dimensions b×b×b, b×b×2b, and b×b×3b

  with wicks of lengths b+2, 2b+2, 3b+2

  wick costs $0.005/cm; wax costs $0.03/cm³

  selling price is material cost + 25%

Find:

  A. an expression for total volume

  B. an expression for total wick length

  C. an expression for the purchase price of a set

  D. purchase price for a set with base area 64 cm²

Solution:

A. The sum of the volumes of the three candles is ...

  v = b³ +2b³ +3b³

  v = 6b³

__

B. The sum of the wick lengths is ...

  L = (b +2) +(2b +2) +(3b +2)

  L = 6b +6

__

C. The selling price is 25% more than the cost of materials so is ...

  p = (1.25)(0.03×6b³ +0.005×(6b +6)) = 0.225b³ +.0375b +.0375

  p = 0.0375(6b³ +b +1)

__

D. The side of the base is the square root of the base area, so is ...

  b = √(64 cm²) = 8 cm

Then the price of a set of candles is ...

  p = 0.0375(6·8³ +8 +1) = 0.0375·3081 = 115.54

Purchase price for a candle set with a base area of 64 cm² is $115.54.

Answer:

x = 21

y = 114

Step-by-step explanation:

Here, we are to find the values of x and y

Mathematically;

3x - 15 + 6x + 6 = 180

reason for this is that opposite interior angles are supplementary, they add up to 180

9x-9 = 180

9x = 180 + 9

9x = 189

x = 189/9

x = 21

Also;

3x-15 + y + 18 = 180

Reason for this is that angles on a straight line are supplementary

Recall, x = 21

3(21)-15 + y + 18 = 180

63-15 + y + 18 = 180

y = 180-66

y = 114 degrees

Given:

Starting point = (0,0)

First ride = (0,4)

Second ride = (3,0)

In map, each unit = 100 ft

To find:

The actual distance between first and second ride.

Solution:

Distance formula: Distance between two points is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, we get the distance between first ride and second ride in the map is

[tex]d=\sqrt{(3-0)^2+(0-4)^2}[/tex]

[tex]d=\sqrt{9+16}[/tex]

[tex]d=\sqrt{25}[/tex]

[tex]d=5[/tex]

So, the distance between first ride and second ride in the map is 5 units.

We have,

1 units  = 100 ft

5 units = 500 ft

The actual distance between first and second ride is 500 ft.

Therefore, the correct option is C.

Hi!

The equation we're working with is in slope-intercept form:

[tex]\diamondsuit~\boldsymbol{y=mx+b}[/tex]

Where:

[tex]\diamondsuit[/tex] [tex]\boldsymbol{m- > slope}[/tex]

[tex]\diamondsuit~\boldsymbol{b- > y-intercept}[/tex]

Therefore,

[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Answers:}\begin{cases}\bold{Slope:4}\\\bold{-5}\end{cases}}}}[/tex]

I hope that helped, have a wonderful rest of your day! :)

The slope of the line is 4 and the y-intercept of the line is -5.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The given equation of the line is y = 4x - 5. Compare the equation with the general form of the equation,

y = mx + c

y = 4x - 5

Slope m = 4

Y-intercept = -5

Therefore, the slope of the line is 4 and the y-intercept of the line is -5.

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2

Answer:

BH = 16

Step-by-step explanation:

The centroid theorem states that the centroid of a triangle is 2/3 of the distance from a vertex to the midpoint of the opposite side.

That means that BH is 2/3 of the length BF.

BH = (2/3)(BF)

BH = (2/3)(24)

BH = 16

For number 2 do the same thing as number 1

96 + (6x -30) = 180 degrees

for number 3:  (6x - 30) = 84  

for number 4: (7x + 5) = 33 degrees

Answer:

D

Step-by-step explanation:

points (-4,4) and (0,5)

slope: (y2-y1)/(x2-x1)

(5-4)/(0+4) = 1/4

y intercept given: (0,5)

Answer:

7 hours

Step-by-step explanation:

They won’t nessciarly pass each other while on the tracks becuase Train B is gonna be done with 300 miles so its at the station, it takes 6 hours for the A to reach that station but train B left an hour earlier so that adds another hour

So 7 hours until the two trains meet

Answer:

At the end of the travilling distance and they will take 6 hours

Step-by-step explanation:

After one hour train A is 50mph far but train B is 0 mph. In 2 hours train A is 100 mph and train B is 60 mph. In 3 hours the distance between them is 30 mph. In 4 hours the distance between them will decrease to 20 mph. In 5 hours will be 10 mph the distance between them. So you can see both trains will meet each other at the end of travilling distance so they will arrived at the same time

Answer:

5, remainder 2

Step-by-step explanation:

22 divided by 4 is 5 and remainder 2

Answer:

The answer is y=8/3x-1

Step-by-step explanation:

7-(-1)/3-0

=8/3

y-y=m(x-x¹)

y-7=8/3(x-3)

y-7=8/3x-8

+7 +7

y=8/3x-1

Answer:

9.33%

Step-by-step explanation:

Step one:

given

Principal= $10,000

Final amount = $150,000

time = 50-21= 29 years

Required

The rate

Step two:

to solve for the rate we can apply the formula for rate as

r = ln(A/P) /t

r= ln(150000/10000)/29

r= ln(15)/29

r=2.7080502011/29

r=0.0933

r= 0.0933*100

r= 9.33%

Answer:

A proportion is an equality of two ratios.

...

Things to remember

Determine whether the ratio is part to part or part to whole.

Calculate the parts and the whole if needed.

Plug values into the ratio.

Simplify the ratio if needed. Integer-to-integer ratios are preferred.

Answer:

39 flowers

Step-by-step explanation:

there are 7 parts

1 part is 13

3 parts is 39

Answer:

AC is not equal to BC

AB=BC

Answer:

C) commutative

Step-by-step explanation:

Example: a x b = b x a

Answer:

4:3

Step-by-step explanation:

8/2=4

6/2=3

Answer:

its 43, or if your talking about fractions its 4/3

Answer:

a) 1

b) 5

c) isosceles

Step-by-step explanation:

a) 1

b) 5

c) isosceles

Thank you

Answer:

249.99-15%=212.49

Step-by-step explanation:

I did this yesterday

Brainliest me pls

Have a nice Day! <3

Answer:

$212.49

Step-by-step explanation:

You would divide 249.99 by 100 then multiply that by 85 becuase that is 15 less than 100 and makes it 15% less

Step-by-step explanation:

7.2 / (-8.1) / (-3.7) = Positive

A = (-7.2) / (-8.1) / (-3.7) = Negative

B = (-7.2) / (8.1) / (3.7) = Negative

Hence the answer is C, none of the above.

Answer: C

Step-by-step explanation: Khan

The solution for your question is-1/6

Answer:

- 1/6

Step-by-step explanation:

Use the following equation to calculate slope between two points:

( Y2 - Y1 ) / ( X2 - X1 )

What's Y2? Y1? X2? X1?

( -1, 6 )

-1 = X1

6 = Y1

( 5, 5 )

5 = X2

5 = Y2

So when we plug in those numbers:

5 - 6 = - 1

5 - (-1) = 6

- 1/6

Answer:

5m to 11m simplified to a ratio would be 5:11.

Step-by-step explanation:

To calculate ratios, try to think of them as fractions instead.

When a ration is expressed in the "a to b" form, you can actually treat it as [tex]\frac{a}{b}[/tex]!

As an example, the ratio of 1 to 2 would be [tex]\frac{1}{2}[/tex]. and the ration of 5 to 9 would be [tex]\frac{5}{9}[/tex].

Hence, the ration of 5m to 11m would be [tex]\frac{5m}{11m}[/tex], which when simplified equals to [tex]\frac{5}{11}[/tex].

Now, we can do the opposite to the fraction! For example, [tex]\frac{10}{19}[/tex] would be equal to 10:19!

Hence, 5m to 11m simplified to a ratio would be 5:11!

Hope this helped!

Answer:

$1200

Step-by-step explanation:

Given that:

Monthly subscription fee = $10

Last month's subscribers = 100

THIS MONTH:

New subscribers = 30

canceled subscriptions = 10

Hence,

Total number of subscribers this month :

(Last month subscription + new subscriptions - canceled subscriptions)

(100 + 30 - 10) = 120 subscriptions this month

Hence, amount earned this month will be :

(Total subscriptions this month * monthly subscription fee)

120 * $10 = $1200

Answer:

the weight of that object on earth is 90N

then on moon it will be 90/6 = 15N

Answer:

y= x + 5

Step-by-step explanation:

i took the test

Answer:

Answer is in photo

Answer:

A’ is (-2,-3)

B’ is (-5,-3)

C’ is (2,0)

Step-by-step explanation:

We have three operations to perform;

a) translate 4 units right

means that we add 4 to the x-coordinate

b) Reflect over x-axis

If we reflect over x-axis;

(x,y) becomes (x,-y)

c) Rotate 90 degrees clockwise

(x,y) becomes (y,-x)

We have the following as the solution;

A( - 1,2)

Add 4 to x-coordinate

(3,2)

Reflect over x-axis

(3,-2)

Rotate 90 degrees clockwise

(-2,-3)

for B (-1,5)

Add 4 to x-coordinate

(3,5)

Reflect over x-axis

(3,-5)

Rotate

(-5,-3)

C; (-4,2)

Add 4 units to x-axis

(0,2)

Reflect

(0,-2)

Rotate

(2.0)

Answer:

5.928 liters

Step-by-step explanation:

about 6 liters

Answer:

5.928

Step-by-step explanation:

1,000 Milliliters = 1 Liter

5,928/1,000 = 5.928

5.928 Liters

Answer:

8 months

Step-by-step explanation:

Given that:

Amount of money present in the bank account = $2,571.68

Automatic monthly rental payments for car loan = $321.46

Any deposits in the bank account are stopped.

To find:

The number of months taken so that the automatic payments make the value of the account as zero?

Solution:

Let the number of months taken to make the value of the account zero = [tex]m[/tex] months

To find the value of [tex]m[/tex], we need to divide the total amount initially present in bank account with the monthly rental payment amount.

Therefore, the equation to find the value of [tex]m[/tex], can be written as:

[tex]m = \dfrac{2571.68}{321.46}[/tex]

On solving the above equation, we get the value as following:

[tex]\bold{m=8}[/tex] months

Step-by-step explanation:

x/y×26=65

26x/y/26=65/26

x/y=65÷26

x/y=2.5