Mr. Ailey gave his class 45 minutes to read. Davida reads 27 3/4 pages in that time. At what rate, in pages per hour, did Davida read?
A 42
B 36
C 34
D 37

Answers

Answer 1

Answer:

37 pages per hour

Step-by-step explanation:

Given that :

Time Given to read = 45 minutes ; 45 / 60 = 0.75

Number of pages readable ad by Davida within the given time frame = 27 3/4 pages

David's reading rate in pages per hour :

Number of pages read / time taken (hrs)

[27 3/4] ÷ (45/60)

[111 / 4] ÷ (45/60)

(111 / 4 ) * (60/45)

(111 * 60) / (4 * 45)

6660 / 180

= 37 pages per hour


Related Questions

What is the most difficult math question you've ever had and why?

Answers

Answer:

Algebra questions cuz im bad at it

Step-by-step explanation:

Answer:

fractions

Step-by-step explanation:

confusing

Which of the following is used to measure a vehicle's efficiency when it
comes to distance traveled with 1 gallon of gas?
A. Odometer
B. GPA
C. Fuel tank size
D. MPG

Answers

Answer:

Miles per gallon, or mpg

Step-by-step explanation:

The variable q represents a positive integer. Does 3(59 + 9) + 5q represent a number that is greater than, less than, or equal to 4(59 + 6)? Show your work.

Thank you if you awnser this!​

Answers

Answer:

Depends on the value of q.

Step-by-step explanation:

3(59+9) + 5q = 3(68) + 5q = 204 + 5q

4(59+6) = 260

The value of the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when the value of q < 11.2

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first number be p = 3(59 + 9) + 5q

Now , the value of a = 204 + 5q

And , let the second number be q = 4(59 + 6)

Now , the value of b = 260

Now , for the value of p and q to be equal ,

Substituting the values in the equation , we get

204 + 5q = 260

Subtracting 204 on both sides of the equation , we get

5q = 56

Divide by 5 on both sides of the equation , we get

q = 11.2

Now , when q < 11.2 , the value of a < b

Hence , the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when q < 11.2

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I need answers am really bad at math

Answers

Answer:

Where is the question

In the diagram, the measure of angle 3 is 105°. A transversal intersects 2 lines to form 8 angles. Clockwise from the top, the angles are 1, 2, 3, 4; 5, 6, 7, 8. Which angle must also measure 105°?

Answers

Answer:

1 is the answer (or A)

Step-by-step explanation:

Answer:

<1

Step-by-step explanation:

"A"

Complete the table:
Theta
0
90
Sine (theta)
?
1

a.
1
c.
2
b.
-1
d.
0

Answers

Answer:

Step-by-step explanation:

sin(0°) = 0

sin(90°) = 1

The values of sin0 and sin 90 are 0 and 1 respectively

Table and values of a function

Given the following values of theta

Theta = 0 and 90 degrees

If theta = 0 dgrees

Sin (0) = 0

If theta = 90 degrees

Sin(90) = 1

Hence the values of sin0 and sin 90 are 0 and 1 respectively

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PLS HELP ASAP

130% of what amount is $88.40?

Answers

Answer:

30% i think so yea......

Answer:

68

Step-by-step explanation:

130% × Y = 88.40

Y = 88.40 ÷ 130%

Y = 68

Checking...

68 × 130% = 88.40

Sorry it so long to respond. I just learned how to calculate it myself.

Jorge swam a total of 173 minutes during 3 days. He swam the same number of
minutes each day, Which of the following is the best estimate of the number of
minutes Jorge swam each day?
o
60
40
20
30

Answers

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

173 divided by 3 =57.6666667. So i estimated it to 60

On an assembly line, 1/5 of an item is made in 3/4 of an hour. What is the unit rate?

A
320itemhour

B
415itemhour

C
334itemhour

D
623itemhour

Answers

I don’t know if I’m wrong but Yeah I Think It’s C


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y = 1x + 46

Step-by-step explanation:

What is the solution to the system of equations given below?

y = 7x + 14 y = 6x + 15

A. x = 29, y = 217

B. x = -1, y = 7

C. x = 1, y = 21

D. x = 21, y = 1

Answers

C.
(1,21)

Let me know if u need the explanation but hope this helps!

The radius of the base to the right circular cone shown below is 5 inches, and the height of the cone is 7 inches. Solving which of the following equations gives the measure,θ, of the angle formed by a slant height of the cone and a radius?

Answers

Step-by-step explanation:

In right angled triangle

Tan = opposite side / adjacent side

Opposite side = 7 inches

Adjacent side = 5 inches

Tan = 7/5

Trigonometric function is the ratio of the different sides of the triangle. The correct value of Tanθ is 7/5.

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

We know that the value of the perpendicular height of the cone is 7 inches while the measurement of the base of the triangle is 5 inches, therefore, using Pythagoras theorem the third side of the triangle can be written as,

[tex]\rm(Slant\ Height)^2 = 7^2 + 5^2\\\\(Slant\ Height)^2 =49+25\\\\(Slant\ Height)= 8.6[/tex]

Now, the value of the trigonometric ratios can be written as,

[tex]\rm Sin \theta=\dfrac{7}{8.6}\\\\\\Cos \theta=\dfrac{5}{8.6}\\\\\\Tan \theta=\dfrac{7}{5}\\\\\\Cosec \theta=\dfrac{8.6}{7}\\\\\\Sec \theta=\dfrac{8.6}{5}\\\\\\Cot \theta=\dfrac{5}{7}\\\\\\[/tex]

Hence, the correct value of Tanθ is 7/5.

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Solve the equation: -2 = 1/2x + b

Answers

Answer:

If solving for x, the answer is x = -2b - 4.

Step-by-step explanation:

If solving for b, the answer is b = -2 - [tex]\frac{x}{2}[/tex].

Please help due today and ignore the answer i put i misclicked.20 points

Answers

Answer:

[tex]3\sqrt{2}[/tex]/2

Step-by-step explanation:

first we take the square root of the top and bottom:

[tex]\frac{\sqrt{72} }{\sqrt{16} }[/tex]

The denominator is 4. The numerator is harder to solve. To solve, we need to look at the factors of 72.

72= 8 * 9. This means that [tex]\sqrt{72} =\sqrt{8} *\sqrt{9} \\[/tex]

We know that the square root of 9 is 3, so now we have

[tex]\frac{3\sqrt{8} }{4}[/tex]

We're almost done!

Since 8= 2*4, and the square root of 4 is 2,

[tex]\frac{3*2*\sqrt{2}}{4}[/tex]

last, we simplify and get

[tex]\frac{3\sqrt{2}}{2}[/tex]

8(v + 1) = 88
so what does v =

Answers

Answer:

v = 10

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

I hope I was able to help you out today! If you have any questions about my answer and how I got it, ask me! If you think my answer was helpful hit that thanks button. And give me a rating to I know how I did! If you would like my help in the future with any of your math, science or history questions, add me as a friend so I actively check out your profile! Have a great day!

Answer:

v = 10

Step-by-step explanation:

8(v +1) = 88

8v + 8 = 88 (Distribute)

   - 8     - 8   (Subtract)

8v = 80  (Divide)

v = 10

Hope this helps :)

One fourth of a cake was shared equally among 3 people.

Part A
What fraction of the whole cake did each person get?
A. 116
B. 112
C. 16
D. 13
Part B
How did you find your answer in Part A?
A.


I multiplied 4 times 3.
B.


I divided 3 by 14.
C.


I multiplied 3 times 14.
D.


I divided 14 by 3.

Answers

Answer:

B

Step-by-step explanation:

Because I multiplied 4 times 3.

Answer:

1/12

Step-by-step explanation:

3 / 1/4=1/12 another way to find the answer is to do 3/1 x4/1 u will get the same answer :)

and part b is b

is triangle abc ~ triangle def ?

Answers

Answer:

Unable to be determined.

Step-by-step explanation:

AA postulate : 2 corresponding angles that are congruent.

SSS theorem : 3 sides of a triangle that are equal to another triangle's 3 sides.

SAS postulate: 2 sides and their included angle are congruent to another triangle's 2 sides and their included angle.

This would seem to follow the SAS postulate at first, but the angle we are provided is not the included angle of the sides. In triangle ABC, we are analyzing lines AB and AC. Their included angle is A, but we are given the measure for angle B.

Same with DEF; we analyze DE and DF, who share angle A, but we are given angle E as a measure.

Therefore, we cannot determine if the triangles are similar or not.

Help with edge PLEASEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

yes sure why do you want help dear

Find the missing angle.
68
45
79
75

Answers

109 degrees!!!!ad the two

x+gh? when x=-3, g = 4, h= -2
Evaluate

Answers

Answer:

x + gh = -11

Step-by-step explanation:

x + gh

= -3 + 4(-2)

= -3 + (-8)

= -11

Answer:

- 11

Step-by-step explanation:

= -3+4x-2

=-3+ (-8)

= -3-8

=-11

$50 tool with 9.5% tax

Answers

Answer:

55.26

Step-by-step explanation:

Divide 50 by 9.5 to get the amount the tool will be taxed.

5.26

Add 50 to that to get the total

55.26

The tax rate charge on the tool that is worth 9.5% is $4.75. The total amount paid for the tool is $54.75

What is the tax rate charged on a piece of equipment?

The tax rate charge on a piece of equipment follows a standard rate by tax charges organization in that geographical region.

Given that:

A tool is worth $50The tax rate charge = 9.5%

= 9.5% × $50

= 0.095 × 50

= $4.75

The total amount paid for the tool is = $4.75 + $50 = $54.75

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please help with matrices

Answers

Answer:

(1/2) {ad - cb}  both expressions

Step-by-step explanation:

Notice that the area of the triangle in question can be calculated as the area of the larger right angle triangle OSQ MINUS the area of the smaller right angle triangle OPR, and MINUS the area of the trapezoid RSQP.

Given the coordinates of the given points, the formulas for area of triangles and of trapezoid, we have the following area subtractions:

1/2 (a + c) (b +d) - 1/2  a* b - 1/2  c (b + b + d)=

= (1/2) { ab + ad + cb + cd - ab - 2 cb -cd } =

= (1/2) {ad - cb}

On the other hand the matrix expression is giving you 1/2 of the determinant of the given matrix  such determinant is: ad - cb

Then we see that the equality is correct since (1/2) of the determinant is also :

(1/2) {ad - cb}

What is the product of 3x(22+4)?
O2 + 3x + 4
O 3.3 +4
O 3.3 +12
3x² + 12x

Answers

3x(22 + 4) *****We will be using distributive property for solving this question.

3x(22 + 4)
= 66x + 12x
= 78x

So, in conclusion, the answer to this equation is 78x.

List the answers and I will give brainliest AND all my points

Answers

Answer:

9) - 17

11) - 5

13) 30

15) 16

10) - 20

12) - 1

14) 30

16) - 21

1) 16

3) 21

5) - 22

7) - 19

2) 11

4) 7

6) - 9

8) - 6

Step-by-step explanation:

Sorrh I wrote this weirdly I was reading it downwards not sideways but hopefully this helps either way :))

A solution with a pH of 9 would be acidic. true or false

Answers

pH ranges from 0 to 14, with 7 being neutral. pHs less than 7 are acidic while pHs greater than 7 are alkaline. ANSWER: false

7 1/2 divided by 3/4

Answers

Answer:

10

Step-by-step explanation:

IF SOMEONE EXPLAINS THIS TO ME CLEARLY I WILL GIVE YOU BRAINLIST

Answers

Answer:

235/3

Step-by-step explanation:

First, let's make a varible x. Let x be the "what number" part in the question.

Now, Let's convert the words into an equation.

We get:

60% * x = 47

Simplifing, we get:

0.6 * x = 47

0.6x = 47

x = 47 / 0.6

x = 47 / [tex]\frac{6}{10}[/tex]

x = 47 / [tex]\frac{3}{5}[/tex]

x = 47 * 5/3

x = 235/3

If the value of "y" varies directly with "X"
and y = -51 when x = 3, find "y" if x = 2.
Enter the number

Answers

Answer:

x : 3 :: y : -1

9 : 3 :: y : -1

3y = -9

y = -3

Answer:

-34

Explanation:

Y varies directly as x then the equation relating them is

y= kx ⬅️k is the constant of variation

To find k use the condition y= -51 when x=3

k= -17

y= -17x⬅️equation of variation

when x=2, then

y= -17*2=-34



Bob has $24 more than twice as much as Susie,
Together they have $150.
using the equations created in

Answers

Answer:

150

Step-by-step explanation:

To solve this problem, first start setting up the equation.

Start with bob first - this is the easiest. Let x = bob

To get the part for susie - he has $24 more than twice the amount of bob, so his part of the equation would be set up as: 2x + 24

Combine these parts:

x + (2x + 24)

Combined they have $150, so you would set the equation above equal to 150

x + (2x + 24) = 150

Combine like terms:

3x + 24 = 150

Solve the equation for x

3x   +   24   =   150

      -   24         -24

3x               =   126      isolate x by itself on one side of the equation

divide both sides by 3 to get x by itself

3x    =    126

3              3

x    =   42

Now that you have solved for x, you know the amount that bob has... $42

With this information you can substitute 42 for x in the equation that was created for susie

2x + 24   would now by (2*42) + 24  which is $108

So, the amount that bob has is $42 and susie has $108

You can double check your work by adding $42 and $108 together to see if you get $150 (which you do)

Hope this helps!!!


3 gardeners can plant 18 trees in 30 minutes.

How many gardeners would it take to plant 45 trees in 45 minutes?

Answers

Answer:

5 gardeners

Step-by-step explanation:

1 gardener - 6 trees in 30 min

or 1 tree in 5 min so in one minute gardener can plant 1/5 tree

in 45 min 1 gardener can plant 9 trees

so you would need 5 gardeners to do 45 trees in 45 min

We have that the number of men needed to plant 45 trees in 45 minutes is

From the question we are told that

3 gardeners can plant 18 trees in 30 minutes.

plant 45 trees in 45 minutes?

Generally the equation for the One gardeners time of planting   is mathematically given as

Since

3 gardeners can plant 18 trees in 30 minutes.

Therefore

[tex]X=\frac{18}{30}*\frac{1}{3}\\\\X=\frac{1}{5}trees/min[/tex]

Since

45 trees in 45 minutes

Therefore

1 tree for every min

Hence

Men need for 1 tree for every min is

[tex]1=x*\frac{1}{5}\\\\x=5[/tex]

Therefore

x=5men would plant 45 trees in 45 minutes

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