Arithmetic Reasoning

4. A duplicator can make 75 copies of a letter per minute, and 300 copies from one master. After how long must the master sheet be changed?

a. 4 minutes

b. 5 minutes

C. 6 minutes

d. 15 minutes

Answers

Answer 1

Answer:

a. 4 minutes

Step-by-step explanation:

Since the duplicator makes 75 copies a minute, and can only make 300 copies from one master, we divide 300 copies by 75 copies, leaving us with four. So our answer is that the master sheet must be changed every 4 minutes.


Related Questions

Mrs. Smith decides to build her own vegetable garden. She goes to Home Depot and buys material to
build beds for the vegetables she'll grow. The beds are big wooden boxes. Each bed is 10 feet long, 5 feet
wide, and 1 % feet tall. She builds 4 beds for her vegetable garden and fills each bed with dirt. The bags
of dirt each contain 1.5 ft of dirt. How many bags of soil did Mrs. Smith buy to fill all 4 beds?

Answers

Answer: 4 bags

Step-by-step explanation: since the height of the wooden boxes are 1.5 feet tall and they need the box to be full it will be 4 bags. Also because each bag contains 1.5 feet of dirt and that’s the exact amount we need for one box.

the 14th hole at riverwoods golf course is 378 yards long how long would it be on a model with a scale of 0.5 inches to 75 yards

Answers

Answer:

2.52 inches

Step-by-step explanation:

Model: 1 inch =150 yds

378/150=2.52

Length of model: 2.52 inch

What is a salesperson's commission on a $1000 sale if the commission rate is 20%?

Answers

If it were 100 it would be $20, so for 1000 you just add one more zero and it’s $200

3
gathered at
There were 632
animals
the river. A herd of
187 elephants and
266 zebras left the
river area. How
many animals were
still at the river?​

Answers

Answer:

179

Step-by-step explanation:

The total number of animals in the river was 632.

A herd of 187 elephants and 266 zebras left the river area.

Adding them up, the total number of animals that left the river area is:

187 + 266 = 453

Therefore, the total number of animals left at the river area is the subtraction for the animals that left the river area from the number of animals that were there initially:

632 - 453 = 179

pls help i give brainliest and 5 stars​

Answers

Answer:

r = 9 m

Step-by-step explanation:

The volume of a sphere is defined as:

[tex]V = \frac43 \pi r^3\\[/tex]

if this is equal to 972π, then r³ = 972 * 3/4

so r = ∛729 = 9

Answer:

The radius of sphere is 9m.

Step-by-step explanation:

Given that the formula of volume of sphere is V = 4/3×π×r³ and it is 972π m³. So you have to substitute the value into the formula, in order to find radius :

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

Let V = 972π,

[tex]972\pi = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]972 = \frac{4}{3} {r}^{3} [/tex]

[tex]972 \div \frac{4}{3} = {r}^{3} [/tex]

[tex] {r}^{3} = 729[/tex]

[tex]r = \sqrt[3]{729} [/tex]

[tex]r = 9metres[/tex]

express 1.875 in the form p/q

Answers

Answer:

If the answer asks for improper fraction it is [tex]\frac{15}{8}[/tex]

If it asks for simplest form it is [tex]1\frac{7}{8}[/tex]

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

[tex]1.875=\frac{1.875}{1}[/tex]

Multiply to remove 3 decimal places. Here, you multiply top and bottom by [tex]10^3=1000[/tex]

[tex]\frac{1.875}{1} *\frac{1000}{1000} =\frac{1875}{1000}[/tex]

Find the Greatest Common Factor (GCF) of 1875 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 125

[tex]\frac{1875/125}{1000/125} =\frac{15}{8}[/tex]

Simplify the improper fraction

[tex]=1\frac{7}{8}[/tex]

Select the correct answer from each drop-down menu.
Shape I is similar to shape II.​

Answers

Answer:

Translation (moving the figure) will map figure 1 onto figure 2 and then after this , dilation by a scale factor of "2"

Answer:

The first one is Translation 3 units down and8 units left, then a dialationby a scale factor of 2

Step-by-step explanation:

A long distance phone call between two cities costs $3.43 for 7 minutes. What is the rate in cents per minute?

Answers

3.43 dollars divided by 7 minutes = 0.49 cents

Help!

A diver is at an elevation of −18 feet and dives down an additional 30 feet. What is that diver’s elevation in feet in relation to a second diver who is 27 feet below the surface?

Answers

If the first diver was already at -18 feet and then dived down an additional 30 feet, we add the two negative numbers together. The first diver is at -48 feet while the second diver is at -27 feet.

Answer:

Diver A is 21 ft below Diver B

Step-by-step explanation:

Diver A

-18 then goes down 30

-18 - 30 = -48

Diver B is at -27

Relationship

-48 - -27

-48+27 = -21

Diver A is 21 ft below Diver B

3. a. Come up with a probability problem that deals with dependent events.
b. Solve the probability problem in part a. please need help I will be MARKING as BRIANILIST, thank you so much. ​

Answers

A girl has 20 marbles

10 are red, 7 are blue, and 3 are green

If she picks 5 marbles, without replacing them, what are the chances all 5 are red?

10/20 * 9/19 * 8/18 *7/17 * 6/16

1/2 * 9/19 * 4/9 * 7/17 * 3/8

1/2 * 1/19 * 3/2

1/76

Find the values of a and b that make the second expression equivalent to the first expression. Assume that x > 0 and y ≥ 0. StartRoot StartFraction 126 x y Superscript 5 Baseline Over 32 x cubed EndFraction EndRoot = StartRoot StartFraction 63 y Superscript 5 Baseline Over a x Superscript b Baseline EndFraction EndRoot a = and b =

Answers

Answer:What was done from the first to the second equation was that the fraction was simplified. 126 and 32 have a common factors of 2. 

126/32=(63*2)/(16*2)

The 2s in the top and bottom can cancel out, leaving the fraction 63/16. 

In addition, since there are x terms on the top and bottom, they cancelled out as well. 

x/x^3=1/x^2

This leaves an x^2 term on the bottom. 

Thus, if a is 16, and b is 2, you will have an equivalent form of the fraction.

Step-by-step explanation:

Answer:

A=16 & B=2

Second part is B

Step-by-step explanation:

;)


Which temperature is closest to room temperature?
a) 35°F b) 65°F c) 120°F d) 200°F

Answers

Answer:

b) 65f

Step-by-step explanation:

Answer:

b. 65° F

Step-by-step explanation:

option B is correct answer

pls help this is due before 11:59​

Answers

Answer:

B

Step-by-step explanation:

232/4= 58

343/7= 49

58-49= 9

Which statement describes whether a right triangle can be formed using one side length from each of these squares?
Area = 64 in
Area = 225 in
Area = 289 in
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares does not equal the area of
the largest square
Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the
largest square
No, a right triangle cannot be formed because the sum of the areas of the two smaller squares does not equal the area
of the largest square.
Save and Exit
Set

Answers

Answer:

Step-by-step explanation:

The area of the given squares are

Area = 64 in

Area = 225 in

Area = 289 in

The length of each side of a square is determined by finding the square root of its area. For the first square, the length of its side is √64 = 8inches. For the second square, the length of its side is √225 = 15inches. For the third square, the length of its side is √289 = 17inches.

For a right angle triangle to be formed, Pythagorean theorem must be obeyed. Sum of the square of the smaller sides must equal the square of the longer side. Therefore,

8² + 15² = 17²

289 = 289

Therefore, the correct statement is

Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square

Answer:

B

Step-by-step explanation:

I got this right in edge 2020. Hope this helped! ;)

pleaseeee help!!

x =
a.) 4
b.) 9
c.) 16

Answers

Answer:

x =16

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent/ hypotenuse

cos 60  = 8/x

Switch the x and the cos 60

x = 8/cos 60

x =8 / (1/2)

x =16

It’s 16 bc of cos and other things

The box plots represent the ages of pennies in two 50-cent rolls. By looking at the plots, Beth says that the two means are about 5 years apart. Which is true about Beth’s statement?

Answers

Answer:

D)She may not be correct because means cannot be determined from Box plots.

Step-by-step explanation:

Box plot -Boxplot is a way to show the spread and centers of a data setboxplot and also called a box and whisker plot,

Box plot tells us about :

1) Mininmum value

2) 25th Percentile value

3)Median

4) 75th Percentile value

5)Maximum value

6) Interquartile Range

Now we are given that By looking at the plots, Beth says that the two means are about 5 years apart.

So,Option D is true

She may not be correct because means cannot be determined from Box plots.

Answer:

She may not be correct because means cannot be determined from the box plots

Step-by-step explanation:

After plotting the data where x=area, and f(x)=the length of one side of the square, Sam determined the model to approximate the side of a square was f(x)= *square root sign* x-5+3 Use the model Sam created to predict the side length of the square when the area is 86.

6
12
81
144

Answers

Answer:

12

Step-by-step explanation:

f(x) = sqrt( x-5)+3

Let x = 86

f(86) = sqrt(86 -5) +3

f(86) = sqrt(81) +3

f(86) = 9+3

f(86) = 12

The side length is 12

[tex]18-\sqrt{} -25[/tex]

Answers

Answer:

-(i×5) + 18

Step-by-step explanation:

Simplify the following:

-sqrt(-25) + 18

sqrt(-25) = sqrt(-1) sqrt(25) = i sqrt(25):

18 - i sqrt(25)

sqrt(25) = sqrt(5^2) = 5:

Answer: -(i×5) + 18

A girl is on a train that is headed East at 100 miles per hour. The girl is walking at 5 miles per hour
toward the back of the train.
1.
What is the speed and direction of the train if the girls is the frame of reference?

Answers

Answer: The speed is 105 miles/ hr and  the direction of the train would be East if the girl is the frame of reference.

Step-by-step explanation:

Since we have given that

Speed of train = 100 miles per hour

Speed of girl = 5 miles per hour

Since the girl is moving towards the back of train.

So,it means train and girl are moving in opposite direction.

So, Relative speed would be

[tex]100+5=105\ miles/hr[/tex]

Hence, the speed is 105 miles/ hr and  the direction of the train would be East if the girl is the frame of reference.

The simple interest on a principal amount, P, borrowed for Tyears at R% annual interest is given by the following
formula.
P.R.T
100
Which of the following describes the relationship between the variables of the simple interest formula?
OP depends on Rand T
OR depends on Pand T
I depends on P, R, and T
O R depends on /

Answers

Answer:

I  depends on P, R, and T describes the relationship between the variables of the simple interest formula

Step-by-step explanation:

We are given that The simple interest on a principal amount, P, borrowed for T years at R% annual interest is given by the following :

Formula: [tex]I = \frac{P \times T \times R}{100}[/tex]

So,[tex]I \propto P[/tex]

[tex]I \propto T[/tex]

[tex]I \propto R[/tex]

So, I depends on P , T and R

So, Option C is true .

Hence I  depends on P, R, and T describes the relationship between the variables of the simple interest formula

Answer:

I depends on P, R, and T

Step-by-step explanation:

Inside triangle ABC point O was drawn such that ∠OAB, ∠OBA, ∠OBC, and ∠OCA are all congruent. It is also true that ∠OAC and ∠OCB congruent. Find the angle measures in triangle ABC.

Answers

Answer:

m∠A = 60

m∠B = 60

m∠C = 60

Step-by-step explanation:

Please mark Branilest

Help me please due TODAY

Answers

Answer:

The answer is 3

Step-by-step explanation:

7.5 m

---------

  5

7.5(2)=15

-------------

       5

15

---    =3

5

Answer: 3

Explanation: 7.5x2=15
15 divided by 5=3

Which line has a slope 3/4

Answers

Line C.

Explanation: It is tilted 3/4 of the way.

Line C shown in the graph has a required slope of 3/4.

Given that,
A figure is shown we have to determine a line that has a slope of 3/4.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanФ where x in degrees.

m  =(y₂ - y₁) /  (x₂ - x₁) = tanФ

here,
The slope of the line A = ∞
The slope of the line D = 0
The slope of the line B = 4/ 3
The slope of the line C = 3/4

Thus, Line C shown in the graph has a required slope of 3/4.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ3


CAN SOMEONE PLEASE EXPLAIN THIS, I DONT NEED THE ANSWER ONLY EXPLANATION!!!!! HELP FASTTTTT THE ANSWER IS HEAT WAS ADDED

Answers

Answer:

C

Step-by-step explanation:

The substance in the second beaker must have lost heat for it to solidify

Answer:

Step-by-step explanation:

The thermometer’s temp could have made the liquid to chemically react?

What is the area of the deck, not including the garden, in Plan A? (Type
the numeric answer only). *

Answers

Answer:

342 ft squared

Step-by-step explanation:

You know how to find the area of a rectangle: Multiply the dimensions together (length x width).

You can also see that the garden is inside the deck, and that it is also a rectangle. Therefore, you can find the area of the deck ONLY by subtracting the area of the small rectangle from the big one.

First, find the area of the big rectangle:

18 * 25 = 450 ft squared

Now, find the area of the small one:

9 * 12 = 108 ft squared

Finally, subtract the area of the small rectangle from the area of the big one:

450 - 108 = 342 ft squared

Hope this helps! Please comment on this answer if you have any questions :)

HELP PLEASE!!! What is the best description of the transformation shown?

Answers

Answer:

reflection over the x-axis

Answer:

Reflection over the x axis

Step-by-step explanation:

The image is a mirror image across the x axis.  Think of it as folded across the x axis.  It looks identical

Check all restrictions on the domain of g circle h. x not-equals 0 x not-equals negative 2 x not-equals negative two-thirds There are no restrictions.

Answers

Answer: the answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = -2/3

Shelley is building a brick wall that needs to be 1.57 meters tall. So far, the wall is 1.54
meters tall, How much taller does the brick wall need to be?
meters​

Answers

Answer:

0.03 m

Step-by-step explanation:

End height:  1.57 m

Current height:  1.54 m

Difference:  0.03 m

Wall must be 0.03 m taller than it is now.

Select the polynomial that is a perfect square trinomial. 9x2 + 9x + 1 36b2 − 24b + 8 16x2 + 24x + 9 4a2 − 10a + 25

Answers

Answer:

16x² + 24x + 9

Step-by-step explanation:

16x² + 24x + 9 =(4x)²+2*4x*3 + 3² = (4x +3)²

1. For each event state whether you think it is impossible,
very unlikely, unlikely, evens, likely, very likely or
certain.
a) Pick a club card from an ordinary pack of cards
b) Pick the ace of spades from an ordinary pack of cards
c) Tossing a coin and it landing on heads
d) I roll a dice and get a 7
e) Somebody you know is left handed

2. Give two examples of events with the following
probabilities.
a) Impossible
b) Unlikely
c) Certain
d) Likely
e) Very likely​

Answers

Answer:

a) Pick a club card from an ordinary pack of cards

VERY LIKELY

b) Pick the ace of spades from an ordinary pack of cards

VERY UNLIKELY

c) Tossing a coin and it landing on heads

LIKELY

d) I roll a dice and get a 7

IMPOSSIBLE

e) Somebody you know is left-handed

LIKELY

a) Impossible

In flipping a coin once, an impossible event would be getting BOTH a head AND a tail.

b) Unlikely

The chance of snow in June in Florida

c) Certain

“Head or Tail' is a certain event connected with tossing a coin

d) Likely

The sharp knife will cut his finger

e) Very likely​

Since it is sunny and hot, it is I will go to the pool today.

Answer:

a) Pick a club card from an ordinary pack of cards

VERY LIKELY

b) Pick the ace of spades from an ordinary pack of cards

VERY UNLIKELY

c) Tossing a coin and it landing on heads

LIKELY

d) I roll a dice and get a 7

IMPOSSIBLE

e) Somebody you know is left-handed

LIKELY

a) Impossible

In flipping a coin once, an impossible event would be getting BOTH a head AND a tail.

b) Unlikely

The chance of snow in June in Florida

c) Certain

“Head or Tail' is a certain event connected with tossing a coin

d) Likely

The sharp knife will cut his finger

e) Very likely​

Since it is sunny and hot, it is I will go to the pool today.

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