Three students use pens to write th enams of graduating seniors on thei rdiplomas. One writes 7 names in 6 minutes, another writes 17 names in 10 minuts, and the third writes 23 names in 15 minutes. How long, to the nearest minute, will the students take to the write the names on 440 diplomas if they work together?

Answers

Answer 1

Answer:

Total time  ≈ 100(nearest minutes)

Step-by-step explanation:

The rates at which each student writes names per minutes can be calculates as follows.

First student

6 minutes = 7 names

1 minute = 7/6 names

second student

10 minutes = 17 names

1 minute = 17/10 names

Third student

15 minutes = 23 names

1 minute = 23/15 names

Total time = 440/total rate

Total time = 440/1.17 + 1.7 + 1.53

Total time = 440/4.403

Total time = 99.931

Total time  ≈ 100(nearest minutes)


Related Questions

there are 357 seniors in harris high school. The ratio of boys to girls is 7:10. How many girls are in the senior class?

Answers

x/357 = 3/10
You get x= 107.1
So there are 107 girls in the senior class

Michael just drank a cup of coffee to help him stay awake. The coffee had 110 milligrams of caffeine in it. If his body
processes 5% of the caffeine every hour, how much will be left in 8 hours?

Answers

The body uses 5%, so 95% of the previous amount is left every hour:

Total = start value x (1- %)^time

Total = 110 x(0.95)^8

Total left = 72.9762 milligrams

Round the answer as needed.

what is the value of x?

Answers

Answer:

60

Step-by-step explanation:

60 times 2 is 120 plus 24 is 144

60°

(2x+24)=144 (vertically opposite angles equal)

Continue to solve for x

Tres pueblos A, B y C, situados en los lados de un triángulo, quieren construir una piscina común para sus habitantes, de forma que quede a la misma distancia de los tres. ¿En qué punto se construirá? ¿Cómo se llama ese punto?

Answers

Answer:

The name of the point is the circumcenter of the triangle

Step-by-step explanation:

The pool will be built at a point which is equidistant from the three points.

This means that the distance from that center point to point A equals the distance from that center point to point B which is equal to the distance from that center point to point C.

The name of this point is called the CIRCUMCENTER of the triangle

The circumcenter is equidistant from the three vertices of the triangle which are the points A , B and C in this case

A bookstore has 60 books about math this is 0.05% of the total number of books on the shelves how many books are there in the bookstore that are not about math

Answers

Answer:

119,940 books are not about math.

What I did:

60x2000=120,000

120,000-60=119,940

Answer:

119940

Step-by-step explanation:

.05 % are about math

b= books

b * .05% = 60

Change to decimal form

b * .0005 = 60

Divide each side by .0005

b = 60/.0005

b =120000 books in the store

we want the ones not about math

120000-60

119940

For every 4 girls in mr hegarty class there are 5 boys. what is the ratio of boys to girls in the class? Give answer in simplest form.​

Answers

Answer: 4:5

Step-by-step explanation:

which of the following descriptions represents the transformation shown in the image?​

Answers

Answer:

A

Step-by-step explanation:

It is a 90-degree rotation counterclockwise 2 units left and 3 units down.

A manufacturer spends $12000 in parts to build a car, they then go and sell that car for $25000. What percentage of profit did they make?

Answers

Answer:

108.3%

Step-by-step explanation:

The manufacturer spends $12,000 in buying the car parts and sells the car for $25,000

Selling price= $25,000

Cost price=$12,000

Gain= selling price-cost price

= 25000-12000

= $13000

The percentage profit can be calculated by applying the formular below

Profit= Gain/cost price×100/1

=13000/12000×100/1

=1.083×100

= 108.3%

Hence the percentage profit is 108.3%

Answer:

52%

Step-by-step explanation:

Step one

In this problem we we have to calculate the profit made after spending a certain amount on the car

Step two

Given that he spent $12000 for parts

And he sold the car for $25000

The profit made is

=Cost of car - cost of repair

= 25,000-12,000

=$13,000

The profit made is $13,000

Step three

Using the cost of the car and the profit realized we can calculate the percentage of the profit made

= (13,000/25,000)*100

= 0.52*100

=52%

10 ft
8 ft
8.9 ft
4 ft
Calculate the perimeter of this figure
to the nearest 10th

Answers

Answer:

40.9 ft.

Step-by-step explanation:

We know all the side lengths needed:

8 + (10*2) + 8.9 +4 = 40.9

So then you just add them!

Please help! Correct answer only!


You can play a game with a wheel whose rim is divided into equal sections marked with the numbers from 1 to 20. If you play, the attendant will spin the wheel and a ball will land in a random section. If the number the ball lands on is even, you win $34. If the number the ball lands on is odd, you win nothing. If you play the game, what is the expected payoff?

Answers

Answer:

" Expected Payoff " - 17 Dollars ; Type in 17

Step-by-step explanation:

Consider the probability of landing in an odd section;

[tex]Sections of the Wheel - 20 Sections,\\Numbers Numbered On the Wheel - 1 To 20,\\\\Odd Numbers = Even Numbers,\\Odd Numbers = 20 / 2 = 10,\\Even Numbers = Odd Numbers = 10,\\\\Probability of Spinning Even - 10 / 20 = ( Simplified ) 1 / 2,\\Money Won = 34 Dollars,\\\\Proportionality - 1 / 2 = x / 34, Where, x = " Expected Payoff "\\1 / 2 = x / 34,\\2x = 34,\\x = 17 Dollars,\\\\Conclusion ; " Expected Payoff " = 17 Dollars[/tex]

Solution ; Provided Directly Above

Solve -2/3x > 8 or -2/3x -12 or x -6} 3. {x | -12 < x < -6}

Answers

The answer will be -6

Need help thanks :) The question is down below

Answers

Answer:

n=63

x=117

r=63

p=117

w=117

m=117

k=117

Step-by-step explanation:

If you start with the given angle of 63 p would  have to be 117 because 180-63 is 117. This would make r 63 because you would use the 117+63 to make a 180 degree angle. w will then be made 117 because it's vertical to p and vertical angles are congruent. we can find x by using corresponding angles. x= k because they are corresponding angles as well. n would be 63 because of k being 117 and because of vertical angles m is 117.

Hope this helps :)

Here you go

k, m, p, w, x are all = 117 degrees

n, and r are both = 63 degrees

Because of angle laws, where opposite angles are equal to eachother, and alternate angles are equal to eachother and co-interior angles add up to 180 degrees; sorry, I would attach a photo but it is not allowing me to... keeps on saying, “Sorry, something went wrong.”

Hope this helps.

Hey, can you please help me out?

Very appreciate

Verified and certified by me

Answers

Answer:

d

Step-by-step explanation:

first two are to measure mass not area and third is too large of a measurement for a beach towel. Hope it helps!

Given right triangle ABC . To the nearest degree, find the measure of angle B. 20° 43° 47° 70°

Answers

Answer:

The answer is "70°"

Step-by-step explanation:

In the given question an attachment file is missing. so, the attachment file and its solution can be defined as follows:  

Given:

ABC is the right triangle.

Find B=?

Solution:

[tex]\Rightarrow \sin \theta= \frac{p}{h}\\\\[/tex]

[tex]\Rightarrow \sin B^{\circ}=\frac{AB}{AC}= \frac{4.8}{5.1}\\\\[/tex]

[tex]\Rightarrow \sin B^{\circ}= .941[/tex]

[tex]\Rightarrow B^{\circ}= \sin^{-1} (0.941)\\\\\bold{\sin^{-1} (0.941) = 70.2^{\circ}}\\\\\therefore \ \ \ \ \bold{B^{\circ} = 70^{\circ}}[/tex]

Answer:

70

Step-by-step explanation:

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

The answer to this question is 1/2

A certain brand of candy is sold by weight, with a 3 oz bag costing $0.75. if a bag of this candy costs $2.00, what does it weight

Answers

Answer:It weights  8 oz.

Step-by-step explanation:

[tex]\frac{3}{0.75} = \frac{x}{2}[/tex]    solve by cross product

0.75x = 6  now divide both sides by 0.75  

x=  8

what is the slope and y-intercept of the following equation 3x + 2y = -6

Answers

Answer:

The slope is -1.5x and the y-intercept is -3

Step-by-step explanation:

First person to give me Brainliest wins the official contest!!! Hurry!

PLEASE HELP. A Ferries wheel has a diameter of 100 ft. The center of the wheel is 60 feet off the ground. If it takes the Ferries wheel 12 seconds to make a full rotation, find the height of a rider 2 seconds after he passes position A, the right most point on the wheel.

Answer choices:

A. 103.30 ft
B. 80.34 ft
C. 74.40 ft
D. 101.96 ft

Answers

Answer:

lresaputa es la C  

Step-by-step explanation:

what is the answer to -3x - 6+ (-1)​

Answers

Answer:

-3x-7

Step-by-step explanation:

Answer:

-3x - 7

Step-by-step explanation:

3 lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. A line extends from point H to point P between angle K H J. Angle M H L is 140 degrees and angle K H P is 20 degrees. What is mAnglePHJ? 100° 120° 140° 160°

Answers

Answer:

The answer is 120 degrees

Step-by-step explanation:

your welcome!!!!!!!!!!!!

Answer:

120

Step-by-step explanation:

edge 2022

Un cazador se encuentra en la parte mas alta de un arbol. Para averiguar a que altura se encuentra, deja caer una bola, observando que demora 4 segundos. Encuentra el alto del arbol (g=10m/s2)

Answers

Answer:

80 m

Step-by-step explanation:

La velocidad inicial de la pelota es 0 m/s.

La altura del árbol es s.

El tiempo necesario es de 4 segundos.

Podemos aplicar una de las ecuaciones de movimiento de Newton:

[tex]s = ut + \frac{1}{2}gt^2[/tex]

donde u = velocidad inicial

t = tiempo empleado

g = aceleración debido a la gravedad

Por lo tanto:

[tex]s = 0 * 4 + (1/2 * 10 * 4^2)\\\\s = 0 + 80 \\\\s = 80 m[/tex]

El árbol tiene 80 metros de altura.

a rectangular inflatable swimming pool is 2 [tex]\frac{4}{5}[/tex] yards long, 2 yards wide, and [tex]\frac{3}{5}[/tex] yard tall. What is the volume of the pool? Round to the nearest tenth

Answers

Answer:

3.4 yd^3

Step-by-step explanation:

The volume is

V = l*w*h

V = 2 4/5 * 2 * 3/5

Changing the mixed number to an improper fraction

2 4/5 = ( 5*2+4)/5 = 14/5

V =  14/5 * 2 * 3/5

  = 84/25

Changing back to a mixed number

3*25 = 75 with 9 left over

3 9/25

3.36 yd^3

To the nearest tenth

3.4 yd^3

Answer: 3.4 yards cubed, after rounding.

Step-by-step explanation:

To find the volume of a rectangular prism, use the following formula:

[tex]V = wlh[/tex], where w is the width, l is the length, and h is the height

Substitute the values given to you into the formula:

[tex]V = 2 * \frac{3}{5} * 2\frac{4}{5}[/tex]

Simplify the mixed number by multiplying both the numerator and denominator of 2/1 by 5 to get 10/5 and add it to the fraction to get 14/5.

[tex]V = \frac{2}{1} * \frac{3}{5} * \frac{14}{5}[/tex]

Now, multiply the numerators and denominators of the fractions and simplify:

[tex]V = \frac{2 * 3 * 14}{5 * 5}\\\\V = \frac{84}{25}\\\\\\V = 3.36[/tex]

The volume is 3.36 yards cubed. Round to the nearest tenth to get 3.4 yards cubed.

Which fraction is equivalent to StartFraction 2 Over 6 EndFraction? StartFraction 3 Over 7 EndFraction, because StartFraction 2 Over 6 EndFraction = StartFraction 2 + 1 Over 6 + 1 EndFraction = StartFraction 3 Over 7 EndFraction StartFraction 3 Over 9 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 9 EndFraction StartFraction 3 Over 12 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 12 EndFraction StartFraction 3 Over 8 EndFraction, because StartFraction 2 Over 6 EndFraction = one-half = StartFraction 2 + 1 Over 6 + 2 EndFraction = StartFraction 3 Over 8 EndFraction

Answers

Question:

Which fraction is equivalent to [tex]\frac{2}{6}[/tex]?

- [tex]\frac{3}{7}[/tex] because [tex]\frac{2}{6}= \frac{2 + 1}{6 + 1}[/tex]

- [tex]\frac{3}{9}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]

- [tex]\frac{3}{12}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]

- [tex]\frac{3}{8}[/tex] because [tex]\frac{2}{6}= \frac{1}{2} = \frac{2+1}{6+2} = \frac{3}{8}[/tex]

Answer:

- [tex]\frac{3}{9}[/tex] because [tex]\frac{2}{6}= \frac{1}{3}[/tex] and [tex]\frac{1}{3} = \frac{3}{9}[/tex]

Step-by-step explanation:

Two fractions are said to be equal if and only if they give the same value when simplified.

The equivalent of [tex]\frac{2}{6}[/tex] is as explained in the selected option;

First, divide numerator and denominator by 2

[tex]\frac{2/2}{6/2}[/tex]

Then simplify

2/2 = 1 and 6/2 = 3; So;

[tex]\frac{2/2}{6/2} = \frac{1}{3}[/tex]

Multiply numerator and denominator by 3

[tex]\frac{1*3}{3*3} = \frac{3}{9}[/tex]

Hence, [tex]\frac{2}{6}[/tex] is equivalent to [tex]\frac{3}{9}[/tex]

Answer:

B

Step-by-step explanation:

StartFraction 3 Over 9 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 9 EndFraction

15 / 80
a) Work out 4 1/7 + 1 1/2

Answers

Answer:

5 9/14

Step-by-step explanation:

4 1/7 + 1 1/2= 5+1/7+1/2= 5+ 2/14+7/14= 5+ 9/14= 5 9/14

first put them into improper fractions, makes it easier

29/7 + 3/2

make the denominator the same

58/14 + 21/14 = 79/14

put it into a mixed fraction

79/14 = 5 9/14

During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points.
What is the range of the data? *

Answers

Answer:

During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points

Step-by-step explanation:

Answer:

11 points

Step-by-step explanation:

Range = Highest value - lowest value

Highest value = 24

Lowest value = 13

Range = 24 - 13

Range = 11



Angela is following this recipe to make biscuits.
Angela uses 3.37 of syrup.
How much sugar is needed in kg?
Recipe: Makes 14 biscuits
120 g margarine
150 g sugar
275 ml syrup
200 g oats
60 g sultanas


Answers

Answer:

150 G sugar. ⬅️CORECT ANSWER

X2=

a. 48
b. 16
c. 12

Answers

Answer:

16

Step-by-step explanation:

x^2 = whole * part

x^2 = (6+2) * 2

x^2 = 8*2

x^2 = 16

Answer:

16

Step-by-step explanation:

Hope this helps.

If you find answers that say 48 for this same problem, they are incorrect.  Please disregard them.

2000 soldiers stand in a row. Beginning from the left, each soldier calls out a number, 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, and so on. Beginning from the right, each soldier calls out a number 1, 2, 3, 1, 2, 3, 1, 2, 3, 1, 2, 3, and so on. How many of these soldiers call out a number 3 when beginning from the left and right??

Answers

Answer:

The number of soldiers that call out a number 3 is 666 soldiers

Step-by-step explanation:

The parameters given are;

Number of soldiers = 2000

Soldiers calling from the left = 1, 2, 3,.....

Soldiers calling from the right = 1, 2, 3,.....

Therefore, since the number soldiers calling out the number 3 are 1 in 3 from the left and 1 in 3 from the right, we split the soldiers into 2 groups of 1000, with one group calling from left and the other group calling from the right;

The number of 3s in called out in the first group from the left is therefore;

1000/3 = 333.33 which is 333 soldiers  or from the 3rd soldier to the 999th soldier

Similarly the number of 3s called out from the second group = 333

Hence the total number of soldiers that call out a number 3 = 333 + 333 = 666 soldiers.

there are between 24 and 40 students in a class the ratio of boys to girls is 4:7 how many students are there in class

Answers

Answer:

[tex]\fbox{\begin{minipage}{2em}33\end{minipage}}[/tex]

Step-by-step explanation:

Given:

In a class the ratio of boys to girls is 4:7.

The total number of students is between 24 and 40.

Solve for:

The total number of students

Solution:

The total number of student could be divided in portions with ratio 4:7

=> It must be the divisor of (4 + 7) or 11.

Otherwise, it is a number between 24 and 40.

There is only one divisor of 11, lying between 24 and 40. That is 33

=>  The total number of students: 33

Hope this helps!

:)

Katie went out for dinner with her friends and left a 17% tip. If B represents the bill, an expression that represents the total bill she will pay is 0.83b

Answers

Answer:

1.17B

Step-by-step explanation:

Katie and her friends will pay 17% of the bill, B.

Therefore, we have to add 17% of B to B to find how much they will pay:

17/100 * B = 0.17B

Therefore, the total bill will be:

Bill + tip

= B + 0.17B = 1.17B

The expression that represents the total bill they will pay is 1.17B

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