4 Stretch Your Thinking: Brian has some boxes of paper clips. Some boxes hold 10 clips and some boxes hold 100. He has some paper clips left over. He has three more boxes with 100 paper clips than he has boxes with 10 paper clips. He has two fewer paper clips left over than he has numbers of boxes with 100 paper clips. What number of paper clips could he have? ​

Answers

Answer 1

Answer:

  Any of {412, 523, 634, 745, 856, 967, 1078, 1189}

Step-by-step explanation:

Relations are given between the number of 10-clip boxes, the number of 100-clip boxes, and the number left over. We assume there are at least one of each size box, and that there are fewer than 10 clips left over. (10 could be put into another box.)

__

Let h represent the number of 100-clip boxes. Then h-3 is the number of 10-clip boxes, and h-2 is the number of clips left over. The total number of paperclips is ...

  10(h -3) +100h +(h -2) = 111h -32

In addition, we require ...

  h -3 > 0 and h-2 < 10

  3 < h < 12 . . . . . . . rearranging these inequalities

So, Brian could have 111h -32 paper clips, where 3 < h < 12. That could be any of {412, 523, 634, 745, 856, 967, 1078, 1189} paper clips.


Related Questions

If the sales tax for the city of Florida is 6.75%, how much tax would you pay for an item that costs $ 150.00?

Answers

Answer:

160.13

Step-by-step explanation:

you would divide 6.75 by 100 then multiple that to 150 the you would take that answer and add it to 150

Tim dug a hole that was 24 inches deep. Later that day it rained washing 11 inches of dirt back back in the hole. After it dried, Tim went back out and dug the hole 13 inches deeper. How deep was the hole after he finished? Show your work.

Answers

Answer: 2 inches

Step-by-step explanation:

14 inches

Step-by-step explanation:

Length of the hole = 16(½) inches

Length of the dirt = 8(¾)inches

The distance between the top of the pile to the bottom of the hole = ?

Since the dirt is beside the hole and not inside the hole, we can find it's length using addition.

Distance from the top to the bottom = length of dirt + length of the hole

Length of dirt = 8×¾ = 6 inches

Length of the hole = 16 × ½ = 8 inches

Distance from the top of the dirt to the bottom of the hole = (6 + 8) inches

Distance from the top of the dirt to the bottom of the hole = 14 inches

Note: the only way we can use subtraction here is if the hole was filled with dirt, what's the distance that's left

Distance left = length of hole - length of dirt

Distance left = 8 - 6 = 2 inches .

Company is testing a robot.The robot is 12 inches tall and weigh 4 pounds.The employees of the company marked a grid on the floor and set the robot at(4,4). They programmed the robot to walk 4 yards east and 6 yards north each minute.What will the robot's location be after 7 minutes? The x coordinate and the y coordinate

Answers

Answer:

[tex]P(2)=(32,46)[/tex]

Step-by-step explanation:

From the question we are told that:

Height of robot [tex]h=12 inches[/tex]

Weight of robot [tex]W=4[/tex]

Start position [tex]P(1)=(4,4)[/tex]

Per minute distance [tex]d=(4,6)[/tex]

Total time [tex]T=7min[/tex]

Generally the distance traveled in 7 minutes [tex]d_T[/tex] is mathematically given by

 [tex]d_T=d*T[/tex]

 [tex]d_T=(4.6)*7[/tex]

 [tex]d_T=(28,42)[/tex]

Generally the position of the robot after 7 minutes is  mathematically given by

 [tex]P(2)=P(1)+d_T[/tex]

 [tex]P(2)=(4,4)+(28,42)[/tex]

 [tex]P(2)=(32,46)[/tex]

Therefore the position of the robot after 7 minutes is

 [tex]P(2)=(32,46)[/tex]

Determine the volume of the CD box shown
7.5 in
6.25 in.
8 in

Answers

Answer:

Step-by-step explanation:

I hope this helps you

Rectangular Prism Volume is

Height. Width. Height

(6.25).(7.5).(8)

375

375

Length x width x height

sean needed to put 7 gallons 3 quarts of gas into his boat on Monday and twice as much on Saturday.if he had a 22 gallon jug of gas available, did he have enough gas for both days?​

Answers

Answer:

No

Step-by-step explanation:

7 3/4 x 3 = 22 1/2

I think it 22 1/2 hope this helps

how should i solve number 2 ?

Answers

X-1%x^2-2x-3 =0
X-1=0
X=1 , ≠-1 , x≠3

Answer X=1

PLEASE HELP DUE IN 20 MINUTES!!!
about cylinders ​

Answers

Answer: Diameter = 4 cm

Step-by-step explanation:

20π = (π)(r^2)(5)

divide by 5 * π

4 = r^2

find the square root of both sides

2 = r

2 * 2 = d

4 = d

HIII can some one please HELP ME !!!!

Answers

Answer:95

Step-by-step explanation:

PLEASE HURRY!!! ACTUALLY ANSWER PLEASE

Answers

Answer:

C

Step-by-step explanation:

Process of elimination

What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line x+2y=18x+2y=18?

Answers

Answer:

[tex]y=-\frac{1}{2} x-3[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope (m) and different y-intercepts (b)

1) Determine the slope (m)

[tex]x+2y=18[/tex]

Rearrange this equation into slope-intercept form (this will make it easier for us to identify the slope)

Subtract x from both sides to isolate 2y

[tex]x+2y-x=-x+18\\2y=-x+18[/tex]

Divide both sides by 2 to isolate y

[tex]y=-\frac{1}{2} x+9[/tex]

Now, we can see clearly that [tex]-\frac{1}{2}[/tex] is in the place of m. Because parallel lines have the same slope, [tex]-\frac{1}{2}[/tex] is therefore the slope of the line we're currently solving for. Plug [tex]-\frac{1}{2}[/tex] into [tex]y=mx+b[/tex]:

[tex]y=-\frac{1}{2} x+b[/tex]

2) Determine the y-intercept

[tex]y=-\frac{1}{2} x+b[/tex]

Plug in the point (8,-7)

[tex]-7=-\frac{1}{2} (8)+b\\-7=-4+b[/tex]

Add 4 to both sides

[tex]-7+4=-4+b+4\\-3=b[/tex]

Therefore, the y-intercept is -3. Plug this back into [tex]y=-\frac{1}{2} x+b[/tex]:

[tex]y=-\frac{1}{2} x-3[/tex]

I hope this helps!

Can someone tell me if I’m doing this right? I think I have to multiply 5.735 but I don’t know

Answers

Answer:

you need a calculator for the answer

6. In 2002, the bear population in Florida was estimated to be 2,700. In 2019, it was reported to be
4050. What percent does the increase in bears represent? Pls put the steps. Pls help this is due in 15 minutes

Answers

Answer:

50% increase

Step-by-step explanation:

4050-2700 = 1350

1350/2700 = 0.5

Convert to a percentage:

0.5*100 = 50

Can someone answer this

Answers

Answer:

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

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 1, 1 ]

f(b) = f(1) = 3 ← value of y when x = 1

f(a) = f(- 1) = [tex]\frac{1}{3}[/tex] ← value of y when x = - 1

average rate of change = [tex]\frac{3-\frac{1}{3} }{1-(-1)}[/tex] = [tex]\frac{\frac{8}{3} }{2}[/tex] = [tex]\frac{4}{3}[/tex]

The flagpole at school casts a shadow that is 18 feet long. A student nearby is 5.5 feet tall and casts a shadow that is 3 feet long. How tall is the flagpole?

Answers

Answer:

33 feet.

Step-by-step explanation:

If the ratio of the student to their shadow and flagpole to its shadow are equal, then you can use the proportion

5.5/3 = x/18 and cross multiply to find x.

5.5 × 18 = 99

3 × x = 3x

3x/3 = x, 99/3 = 33.

x = 33.

Please help! I will give Brainliest!
Who is correct?

Answers

Answer:

Erin

Step-by-step explanation:

I believe Erin is right in this case.

I NEED THE ANSWER IN THE NEXT MINUTE

Answers

Answer:

508.68

*sorry if this is late

Step-by-step explanation:

Divide 36 by 2 to get radius

Multiply 18 by itself to get 324

Multiply 324 by 3.14 to get the area of a circle

Divide it by 2 to get the area of the semi circle

Find the measure of the angle indicated.
P
A) 92°
B) 61°
C 86°
D) 34°

Answers

Answer:

92°÷^®√™÷√÷^π^π^^π^π°π°^÷

b. 61° is the answer

how many terms does 3x + 5y - 17 - 2y + x have?

Answers

Answer:

It has 5 terms

Step-by-step explanation:

Terms are the numbers or values in a equation, so this Equation has 5 terms

x + 5y - 17 - 2y + x.

1. x

2.5y

3.17

4. 2y

5.x  

(I listed the terms)

Select the true statement. A. Neither function is even. B. Only function f is even. C. Only function g is even. D. Both functions are even.

Answers

Answer:

The answer is "Option C".

Step-by-step explanation:

The graph of the even function will have both ends pointed in the same direction, while the graph of the odd function will have both ends pointed inside the reverse way. Furthermore, as the y-axis approaches, and also regular expression graph becomes symmetric. The graph of an unusual function, on either hand, is symmetric around the origin and also has rotational symmetry around the origin. They could see that the graph of function g meets a function requirement by looking at it. That graph of function f, but on the other hand, is not symmetric about its y-axis, implying that function f is not even. As both a result, g is a function that is even.

Answer:

Only function g is given

Step-by-step explanation:

Which expression is equivalent to a^-x?

Answers

Here is the answer for you

How do you find the interquartile range?

Answers

The Interquartile range is the biggest number on the box, minus the smallest number on the box.

will name the brainliest!!

Answers

Answer:

c = 29

Step-by-step explanation:

Since the opposite side of the given angle 41, is given and the hypotenuse has to be found out, we will use the Sin ratio

Sin(41) = [tex]\frac{19}{c}[/tex]

=> To isolate the c all by itself first multiply c on both sides of "="

Sin(41) * c = 19

=> Now divide each side by Sin(41)

c = [tex]\frac{19}{Sin(41)}[/tex]

c = 28.96 or 29

Hope this helps!

What is the theoretical probability of rolling a number less than 5? Write the fraction, decimal and percent.

Answers

Given:

Rolling a fair dice.

To find:

The theoretical probability of rolling a number less than 5.

Solution:

The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.

Total outcomes = 6

Numbers less than 5 are 1, 2, 3, 4.

Favorable outcomes = 4

Now, the theoretical probability of rolling a number less than 5 is:

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{4}{6}[/tex]

[tex]\text{Probability}=\dfrac{2}{3}[/tex]

In decimal form, it can be written as:

[tex]\text{Probability}\approx 0.67[/tex]

In percentage form, it can be written as:

[tex]\text{Probability}=\dfrac{2}{3}\times 100[/tex]

[tex]\text{Probability}\approx 66.67%[/tex]

Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are [tex]\dfrac{2}{3}, 0.67[/tex] and [tex]66.67\%[/tex] respectively.

solve: 7 (j-5)=-14 what is the value of j?

Answers

Answer:

open bracket

7j - 35 = 14

7j = 14 + 35

7j = 49

divide thru by 7

7j / 7 = 49 / 7

j = 7

Classify the triangle: I NEED HELPPPP PLEASEEEEEEEEEEEEE

Answers

Answer:

Right scalene

Step-by-step explanation:

The triangle has a right angle, but no sides are equal.

Answer:

The triangle is a right scalene triangle.

Step-by-step explanation:

If any angle is marked by a little square like in the triangle's bottom left corner, that means the angle is 90° or a right angle. Since none of the angles in the triangle are equivalent, that means the right triangle is a scalene triangle. So the correct choice is a right scalene triangle.

Explain how to add 5.3 + 9.079​

Answers

Answer:

14.379

Step-by-step explanation:

1. Line up from left to right

2. Make sure that the decimals are lined up

3. Add the thousandths and hundredths with 0

4. Add 3 in the tenths place

5. Add up 9 and 5 to make 14

*IF YOU DID THE STEPS RIGHT, THEN YOU SHOULD HAVE 14.379 AS YOUR ANSWER*

Answer:

9.079

+5.300

_______

14.379

Step-by-step explanation:

Just line the decimals up and add zeros for 5.3 to 5.300 because you can't do 9.079

   +5.3   because your decimal will be in the wrong spot and your answer will come out wrong

   

At a surf shop in Malibu, California, a used blue surfboard is on sale for $100. According to the salesperson, the new price represents a 20% discount from the original price. What did it sell for originally?

Answers

Answer:

$125

Step-by-step explanation:

if there was a discount of 20%, the sales price is 100 - 20 = 80% of the original price

let a = original price

this equation can be used to represent the question

a x 0.8 = 100 ]]divide both sides by 0.8

a = 100 / 0.8 = 125

Using the image above, describe the error in the statement of the tangent ratio. answer correctly !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

the right answer is

tan D=80/18

please help me ill give you the crown thing if its right no joke

Answers

22 need more
150-56=94
20*3 = 60
94-60 = 34
34-12= 22

Angle A and Angle B are vertical angles. If the measure of Angle A is 30 degrees, what is the measure of Angle B?

Answers

Answer: 30 degrees

Step-by-step explanation: Vertical angles are always congruent. If Angle A and Angle B are vertical then they are equal to each other. They both will way thirty degrees.

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