Abigail read 42 1/2 pages in 1 2/3 hours. At what rate, in pages per hour, did she read?

Answers

Answer 1

Answer:

Pages                Time(hours)

 [tex]\frac{85}{2}[/tex]                       [tex]\frac{5}{3}[/tex]

 [tex]x[/tex]                        [tex]1[/tex]

[tex]x*\frac{5}{3} = \frac{85}{2} *1\\\\x = \frac{85*3}{5} = 17*3 = 51 \ pages[/tex]


Related Questions


Martha's salary is $52,000 this year, and increases by 8% each year. She pays 17.5% of her salary in taxes. What will be Martha's net pay NEXT year?​

Answers

Answer:

Martha's net pay next year is $46,332.

Step-by-step explanation:

First, you have to calculate the increase by multiplying the salary for 8% and adding the result to the salary:

$52,000*8%= $4,160

$52,000+$4,160= $56,160

Now, in order to find the net pay next year, you have to calculate the tax by multiplying the salary for the tax percentage and subtracting that from the salary:

$56,160*17.5%= $9,828

$56,160-$9,828= $46,332

According to this, the answer is that Martha's net pay next year is $46,332.

Which expression simplifies to 5^3

Answers

Answer:

5^3 = 1 2^3

One and two thirds.

Rodriguez has saved $8500 for college expenses. He plans to spend $700 a month from his account. Write an equation to represent the situation.

Answers

Rodriguez saved $8500 (starting value) also the y intercept
He spends $700 (-700) as decreasing per month also the slope
Y = b + mx, b being y intercept and m = slope. Now plug the values in

Solution: y = 8,500 - 700x
y being $ in his account
x being per month

Equation represents the given situation is [tex]y = \$(8500- 700x)[/tex].

What is equation?

" Equation is defined as the algebraic expression which represents the relation between variables and the number using sign of equality."

According to the question,

Initial amount is Rodriguez account [tex]= \$8500[/tex]

Plans to spend a month from his account [tex]= $700[/tex]

[tex]'x'[/tex] represents the number of months

Amount spend in [tex]'x'[/tex] months [tex]= 700x[/tex]

[tex]'y'[/tex]  represents the amount left in the account

As per given situation required equation is ,

[tex]y = \$(8500-700x)[/tex]

Hence, equation represents the given situation is [tex]y = \$(8500- 700x)[/tex].

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Paragraph Finding the part, percent, and the whole Styles 1) Sixteen students in the school band play clarinet. Clarinet players make up 20 %v of the band. How many students are in the school band?​

Answers

Answer:

80

Step-by-step explanation:

You know that 20% of the school band are 16 clarinet players, or 16 is 20% of the band.

You can set up the equation 0.2x = 16 and divide both sides by 0.2. You then get that x = 80, so there are 80 kids in the school band.

What type of angle is this

Answers

Answer:

they're both obtuse angles, the ones highlighted in red.

PLEASE I NEED HELP READ ALL Lisa made a chocolate milkshake in the blender for her daughter. The milkshake occupies just a little more than 75 cubic inches of space in the blender pitcher. When serving the milkshake to her daughter, she has three glasses to choose from. Determine whether or not each of the three classes is large enough to contain all of the chocolate milkshake that Lisa made for her daughter. Use 3.14 to approximate .
Glass A with a height of 2.1 inches and a diameter of 5 inches is _____
to contain the entire chocolate milkshake.

Glass B with a height of 2.7 inches and a radius of 4.6 inches is_____
to contain the entire chocolate milkshake.

Glass C with a height of 3.1 inches and a radius of 2.7 inches is ____
to contain the entire chocolate milkshake.

choices are too small and too large

Answers

Glasses are in a cylinder shape.
Volume of a Cyclinder is:
V = pi x r^2 x h

pi = 3.14

GLASS A
h = 2.1in.
d = 5in.

r = d/2
5/2 = 2.5
V = pi x 2.5^2 x 2.1
V = 41.2in.

GLASS B
h = 2.7in.
r = 4.6in.
V = pi x 4.6^2 x 2.7
V = 179.5in.

GLASS C
h = 3.1in.
r = 2.7in.
V = pi x 2.7^2 x 3.1
V = 71

The bar graph shown here can be misleading. Choose the statement that might WRONGLY be made on the basis of the graph.
A)
Drivers older than 65 had no DUIS.
B)
Over 1000 drivers aged 16-20 had DUIS.
C
More than half of all the Duls were for drivers aged 16-29.
D)
Drivers aged 46-65 had fewer than half the Duls of the drivers aged 16-20.

Answers

Answer: A . Drivers older than 65 had no DUIS I just did it on USA test prep.

Step-by-step explanation:

w(x) = −3x− 4; Find w(7)

Answers

-25
good luck :)))))
The answer is -25
-3(7)-4
-21-4
-25

The stock was worth $85. What will the stock be worth in 7 years? WhThe value of πPhone stock has increased 8% each year for the past several years. In 2020,at was the stock worth in 2016? Equation: 7 years from now? In 2016?

Answers

Answer:

Part A

The worth of the stock in 7 years is approximately $145.68

Part B

The worth of the stock in 2016 is approximately $62.48

Part C

f(7) = 85 × (1 + 0.08)⁷

Part D

85 × (1 + 0.08)⁻⁴

Step-by-step explanation:

Question

"The value of the πPhone πhas increased 8% each year for the past several years. In 2020, the stock was worth $85. What will the stock be worth in 7 years? What was the stock worth in 2016? Equation: 7 years from now? in 2016?"

The equation for the growth of the stock to a final amount f(x) is given by the general equation for exponential growth as follows;

[tex]f(t) = a \cdot (1 + r)^t[/tex]

Where, in relation to the stocks;

f(t) = The value of the stocks after 't' years

a = The initial amount of the stocks

r = The rate of growth of the stock = 8%

t = The number of years of growth

Part A

The worth of the stock in 7 years, f(7), is found as follows;

The (initial) value of the stock in 2020, a = $85

The rate of increase in the value of the stock = The growth rate of the stock, r = 8% = 8/100 = 0.08

The number of years of growth, t = 7 years

We get;

f(7) = 85 × (1 + 0.08)⁷ ≈ 145.68

The worth of the stock in 7 years, f(7) ≈ $145.68

Part B

The value of the stock in 2016 is found as follows;

The number of years between 2020 and 2016 = 2016 - 2020 = -4 (years)

Here, let 'f(t)' represent the value of the stock in 2016, and therefore, we have;

t = -4 years

r = 8% = 0.08

a = The value of the stock in 2020 = $85

Plugging in the values gives;

f(-4) = 85·(1 + 0.08)⁻⁴ = 85 × (1.08)⁻⁴ ≈ 62.48

The value of the stock in 2016, f(-4) ≈ $62.48.

Part C

The equation for 7 years from now is f(7) = 85 × (1 + 0.08)⁷

Part D

The equation for 2016 is f(-4) = 85 × (1 + 0.08)⁻⁴.

I'll give BRAINLIEST PLEASE ANSWER

Answers

Answer:

C

D

Step-by-step explanation:

there's nothing to explain here. just basic

Answer: C

Step-by-step explanation: To simplify the first equation given, you use the process of elimination. There are three of the same variable, s, and that would be simplified to 3s. After that everything remains the same. Making C equivalent to the given equation.

complete the square f(x)=x^2-12x-4

Answers

Answer:

Solve for x over the real numbers:

x^2 - 12 x - 4 = 0

Add 4 to both sides:

x^2 - 12 x = 4

Add 36 to both sides:

x^2 - 12 x + 36 = 40

Write the left hand side as a square:

(x - 6)^2 = 40

Take the square root of both sides:

x - 6 = 2 sqrt(10) or x - 6 = -2 sqrt(10)

Add 6 to both sides:

x = 6 + 2 sqrt(10) or x - 6 = -2 sqrt(10)

Add 6 to both sides:

Answer: |

| x = 6 + 2 sqrt(10) or x = 6 - 2 sqrt(10)

Karen and Max tracked the number of emails that they received each day over the last month. Which statement is supported by the data?


A. Max and Karen’s IQR values are the same.
B. Max’s median is greater than Karen’s median.
C. Max’s maximum is greater than Karen’s maximum.
D. Max’s data is more symmetrical than Karen’s data.

Answers

Answer:

Step-by-step explanation:

PLEASE HELP

I WILL BRAINLIEST !

Answers

Answer:

10 1/12

Step-by-step explanation:

In order to subtract fractions, you have to give them a common denominator.

18 1/2 can be rewritten as 18 6/12, as they are the same thing and 6/12 simplifies to 1/2. We make it 6/12 because we have to subtract it by 8 5/12, and the denominators are both 12.

So now we have 18 6/12 - 8 5/12, which gives us 10 1/12.

(2x6x12) x27 I really need help, my teacher is going to call on me, so I need this answer, Thank You!

Answers

Answer:

3,888

Step-by-step explanation:

..

The answer is 3888
Because 2 time 6 is 12 then you times 12 again and that is 144 and lastly you times 27 and get 3888

Use the Multiplication Law of Exponents to solve the expression below. 91/2.91/2=​

Answers

Answer: 15.64

Step-by-step explanation:

kahn

This is so hard help

Answers

Answer:

Ik it

Step-by-step explanation:

The coordinates of A are (1/4,3). The coordinates of B are (1/2,4.5). If the x-coordinate of C is 7/4, what is its y-coordinate

Answers

Answer:

10.5

Step-by-step explanation:

Given

A = (1/4, 3)

B = (1/2, 4.5)

To get the coordinate of C as 7/4, what was done was to first take the difference in the x coordinates and then dilate the result by 7

To get the y coordinate;

Take the difference in the coordinate

Difference = 3 - 4.5

Difference = -1.5

Dilate the result by factor of 7

This is done y multiplying the result by 7;

y coordinate = 1.5 * 7

y coordinate = 10.5

Hence its y-coordinate is 10.5

Select all ratios equivalent to 5:2

A) 25:10
B) 10:4
C) 4:1

Answers

Answer:

A and B

Step-by-step explanation

The answers are both A) and B).

It is A) because you multiply 5 times 5 which equals 25, and 2 times 5 equals 10.
It’s is B) because you multiply 5 times 2 which equals 10, and 2 times 2 which equals 4.
In conclusion both of these ratios — 25:10 & 10:4 — are proportional, or equal, to 5:2.

I hope this helps!! :)

7 more than number p is equal to 30 please how working​

Answers

p=23

Is that what you needed?

Answer:

p+7 = 30

p = 23

Step-by-step explanation:

23+7 = 30

A point in the figure is selected at random. Find the probability that the point will be in the shaded region

Answers

Answer:

60%

Step-by-step explanation

Answer:

60

Step-by-step explanation:

The figure is a parallelogram Solve for x.

Answers

Answer:

The value of x is 11.

Explanation:

The opposite sides of a parallelogram being equal, GD will be equal to 17. Equating, the value '11' is obtained.

There were 162 people sitting in the school auditorium of which 1/9 were teachers while the rest were students how many teachers were sitting in the auditorium

Answers

Answer:

There are 18 teachers in the auditorium.

Step-by-step explanation:

1/9 of 162

1/9 * 162 = 18.

Rewrite the function, differentiate, and then simplify

y= 3/√x

Answers

Answer:

[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]

Step-by-step explanation:

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

y = [tex]\frac{3}{\sqrt{x} }[/tex] = 3[tex]x^{-\frac{1}{2} }[/tex] , then

[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{3}{2} }[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]

URGENT!! Two students determined the value of this expression. -2.5(1.4+3.1) + 6.9(-4.3)
These are the steps each student used.

Student P Steps:
Step 1: -3.5 + 7.75 + 6.9(-4.3)

Step 2: -3.5 + 7.75 - 29.67

Step 3: 7.75 - 3.5 - 29.67

Step 4: -25.42

Students Q steps:
Step 1: -3.5 - 7.75 + 6.9(-4.3)

Step 2: -3.5 - 7.75 - 29.67

Step 3: -(3.5 - 7.75 - 29.67)

Step 4: -(-33.92)

Step 5: 33.92
Analyze the steps and describe any errors made by Student P and Student Q

Answers

Answer:

student  p= added and subtracted wrongs

stident Q= only subtracted

Step-by-step explanation:

The error of student P is the first step and that of student Q is the third step.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is

-2.5 (1.4 + 3.1) + 6.9 (-4.3)

Using the distributive property,

= (-2.5 × 1.4) + (-2.5 × 3.1) + (6.6 × -4.3)

= -3.5 - 7.75 - 29.67

= - (3.5 + 7.75 + 29.67)

= -40.92

This is the correct way to do the operations.

The error of student P is in the step 1, where the student wrote 7.75 instead of -7.75.

The error of student Q is in the step 3, that when the negative sign is taken out all the signs inside the bracket become positive.

Hence the errors of two students are found.

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There are 6 people who want to share 17 ride tickets for the carnival. Each person will get an equal number of tickets. How many tickets will each person get? How many tickets will be left over?

Answers

Each person gets to ride 3 rides. One person has to force the ride to stop halfway so the last person can have a turn.

Answer:

5 people will get 3 tickets and one person will get 2.

Step-by-step explanation:

5x3= 15 , 2 tickets left.

Find X and Y. ( solve using picture)

Answers

y is 72 because it is 180-108=y

Step-by-step explanation:

y is 72, give other person brainly! :)

I need help on these 2 questions, please and thank you!

Answers

Answer:

1.1 : C - x^2 + x - 2

1.2 : A - 4a^2 - 6b^2 + 12

Step-by-step explanation:

When we have the expression p(x) - q(x), we can substitute those functions in:

(x^2 + 2x - 5) - (x - 3)

We can distribute:

x^2 + 2x - 5 - x + 3

and then combine like terms(2x & -x, -5 & 3)

x^2 + x - 2

This is the same as C.

We can start by distributing:

a^2 - 2b^2 + 3 - 4b^2 + 5 + 3a^2 + 4

Now, we can combine all the a^2 terms(a^2 & 3a^2):

4a^2 - 2b^2 + 3 - 4b^2 + 5 + 4

Then, we can combine the b^2 terms(-2b^2 & -4b^2):

4a^2 - 6b^2 + 3 + 4 + 5

and lastly, all the constants:

4a^2 - 6b^2 + 12

This aligns with option A

Which function is the inverse of F(x) = b^x?
HELP FAST

Answers

Answer:I also think answer is 3

Step-by-step explanation:

A bag contains 5 red marbles, 3 green marbles, and 2 blue marbles. If Nathan draws two marbles without replacing them, what is the probability he will draw 2 red marbles?

Answers

Answer:

It would be a 2/9 chance.

Step-by-step explanation:

So to start, the total amount of marbles is 10, as there's 5 red marbles, 3 green marbles, and 2 blue marbles.

With this, in the first draw, there's a 5/10 chance that a red one will be picked since there's 5 reds of the 10 total.

Since the marbles aren't put back, if a red's chosen in the first draw, it wouldn't be there in the second draw. Therefore in the second draw, there would be 4 reds and 9 in total.

With this, in the second draw, there's a 4/9 chance that a red one will be picked since there's 4 reds of the 9 total.

Now, combine these two probablities by multipliying them and you've got your answer!

5/10 * 4/9 = 20/90 ---> 2/9

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

A and B are the correct options
answer:
a. one third of the design is yellow
b. there are three equal shares

explanation:
4/12 = 3
one third of the design is yellow
there are three equal shares 4 orange, 4 yellow and 4 orange
each share has 4 not 3 squares
two thirds of the design is orange
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