3/5 pencils sold in the morning. 1/4 of the remainder in the afternoon. If 200 more pencils were sold in the morning than afternoon, how many pencils did they start with

Answers

Answer 1

Answer:

x = total pencils = 400 pencils

Step-by-step explanation:

Let

x = total pencils

Pencils sold in the morning = 3/5x

Remaining pencil = x - 3/5x

= 5x-3x/5

= 2/5x

Pencils sold in the afternoon = 1/4 of the remainder

= 1/4 * 2/5x

= 2/20x

= 1/10x

Pencils sold in the afternoon = 1/10x

3/5x + 200 = 1/10x

3/5x - 1/10x = 200

(6x-x)/10 = 200

5/10x = 200

1/2x = 200

x = 200 ÷ 1/2

= 200 × 2/1

x = 400 pencils

x = total pencils = 400 pencils


Related Questions

r 2- 12r - 28 = 0[tex]r 2- 12r - 28 = 0[/tex]

Answers

Answer:

Step-by-step explanation:

r² - 12r - 28 = 0

r² - (14 - 2)r - 28 = 0

r² - 14r + 2r - 28 = 0

r ( r - 14 ) + 2 ( r - 14 ) = 0

( r - 14) ( r + 2 ) = 0

Either

r - 14 = 0

r = 14

or

r + 2 = 0

r = -2

therefore r = - 2 or 14

A bag with 8 marbles has 2 blue marbles and 6 yellow marbles. A marble is chosen from the bag at random. What is the probability that it is red?
Write your answer as a fraction in simplest form.

Answers

Answer:

there are no red marbles. so 0/8 is the probability


Given that x = 7.4 m and θ = 31°, work out BC rounded to 3 SF
I NEED THIS ANSWER NOW​

Answers

Answer:

59.0

Step-by-step explanation:

c=31

b=90

90+31=121

180-121=59

56 rounded to the nearest 3 sf=59.0

please mark as brainliest if correct

thank you

Answer:

12.333 m

Step-by-step explanation:

The ratio x/BC is the tangent of angle theta:

 7.4

-------- = tan theta = 0.6

 BC

                                                                         7.4

Interchanging 0.6 and BC, we get    BC =  ------------ = 12.333 m

                                                                          0.6

Susan has 2 five-dollar bills and 3 ten-dollar bills in her purse and 11 one-dollar bills in her pocket. How much money does she have in all

Answers

Answer:

51

Step-by-step explanation:

2*5=10

3*10=30

11*1=11

10+30+11

51

Answer:

She has $51

Step-by-step explanation:

You would do 10*3 = 30 since she has 3 tens. Then you would do 5*2 = 10 since she has 2 fives. And then you would do 11*1 = 11 since she has 11 ones. Then after you do that you would add all of them together so you would do 30+10+11 = $51

the base of a prism are right triangles with leg lengths of 7 inches and 5 inches. the prism height is 12 inches. what is the volume of the prism?
105 cubic inches
203 cubic inches
210 cubic inches
420 cubic inches

Answers

The volume formula is length x width x height. 7x5x12=420 cubic inches

What is the area of this rectangle

Answers

Answer:

30 sq units

3 + 2 = 5

5 x 6 = 30

Which expression represents the phrase below?
8 less than the product of 6 and a number, x

8 - 6x B. 6x - 8

C. (6 + x) D. 8 - (6 + x)

Answers

Answer:

6x - 8 multiply 6 and x then subtract 8

648/180 reduced? In fractions

Answers

Answer: 18/5

Step-by-step explanation:  hope this helps pls mark me brainliest

PLS, I NEED HELP ASAP!!​

Answers

Answer:

3x+18

Step-by-step explanation:

3 times x

3 times 6

3x

18

3x+18

math help pls answer

Answers

Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

Factor completely. 5x^2-20x+20=5x 2 −20x+20

Answers

Step-by-step explanation:

5x^2 - 20x + 20 = 5x^2 - 20x + 20

5(x^2 - 4x + 4) = 5(x^2 - 4x + 4)

(5 + 5) (x^2 - 4x + 4)

Factor completely x2 + 25. (1 point)
O (x + 5)(x + 5)
O (x + 5)(x - 5)
O (x - 5)(x - 5)
O Prime

Answers

Prime x² + 25 is prime (unfactorable).
Here's what the other options come out to:
(x + 5)(x + 5) = x² + 10x + 25
(x + 5)(x − 5) = x² − 25
(x − 5)(x − 5) = x² − 10x + 25

I need help on this math problem

Answers

Answer:

x+66+55=180(being sum of the angle of triangle=180degree

x=180-121

therefore, x=59

plz give me thanks

Answer:

All triangles have angles that add up 180 degrees.

So Angle x = 180 - 55 -66

which equals 59 degrees.

Step-by-step explanation:

Evaluate 7^35 7^-21 7^-8

Answers

Answer:

117,649

Step-by-step explanation:

7^35 x 7^-29

= 7^6

=117,649

help I don’t know how I’m supposed to do this

Answers

Answer: So, you got the length of side C. You now need to find what 10 is squared, then what plus what (in squared gates you there). A squared plus B squared is C squared. It is basic Pythagorean Threom.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

For this I think you should know what SOH-CAH-TOA is, if not here.

O=opposite, A=adjacent(side), and H=-hypotenuse. We see they give us the right angle we need to solve, remember that we need the angle to the side of the right angle. Now S=sin, C=cos, T=tan, with these we use them to solve in the calculator. If you don't have a calculator, its going to be hard. But if you have a Ti-84 then set it to Degree mode. Ok moving on, We see they give us the adjacent and the hypotenuse, not the opposite.(from the given angle) So we can take off, SOH and TOA, see it doesn't have or has the incorrect sides. So we have left CAH.

Equation time:

, we see that the x is on top so we just multiply....

[tex]cos36(10)[/tex]= 8.090

I hope this helps!

which histogram correctly display the information to the left?

Answers

Answer:

option 3 so the second to last

Answer:

b

Step-by-step explanation:

A school has an aquarium in each room. Each aquarium has 2 catfish for every 3 angelfish. How many fish are in an aquarium that has 6 catfish?

Answers

2 x ? = 6 catfish. (?=3) so multiply everything by 3......3 x 3 = 9 angelfish!!

Answer:

15

Step-by-step explanation:

2:3 ratio

if there is 2 catfish in a tank, in order to reach 6 catfish, we need 3 tanks

therefore, 3*3=9, 9 is the amount of angel fish

6+9=15

Which fraction is the same as 4/8

Answers

Answer:

1/2 I believe is you answer darling

plz help and yes im lazy.

Answers

Answer:

38

Step-by-step explanation:

A=11

T=2

U=16

AxU (11x2)=22

22+16

38

38 is the final answer

Answer:

I think it would be 38

Step-by-step explanation:

v=16+11(2)

A map has a scale of 2 centimeters = 4 miles. Mary's drive to work is represented on the map as traveling 1cm north then 2.5 cm west. Which equation could be used to determine how many miles Mary drives to work?

Answers

Mary drives 7 miles!2cm / 4mi = 1cm / 2mi1(2) + 2.5(2) = 7Please let me know if I am wrong.

the sun shines on a flagpole, causing a shadow to be cast on the ground. the distance from the base of the pole to the tip of the shadow is 49 feet. at that time of day, the sun's rays make an angle of 38° with the ground. How tall is the flagpole?​

Answers

Answer:

30.17feet high

Step-by-step explanation:

Given the following

the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)

angle of elevation = 38°

Required

Height of the flagpole (opposite)

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 38 = H/49

H = 49sin38

H = 49(0.6157)

H = 30.17feet

Hence the flagpole is 30.17feet high

A school’s auditorium can hold a maximum of 450 people. The school is holding a talent show
where 35 students will perform. The school pre-sold 345 tickets to the show and will now allow
the performers to use the remaining tickets for their friends and family. If each student
performing in the talent show can invite the same number of guests, select all of the following
that represents the possible number of guests that arrive for each performer.

Answers

Answer:

Each can invite 2 guest

Step-by-step explanation:

345+ 35= 380

450-380 = 70

70/35=2

Answer:

Each performer can get 2 guests.

Step-by-step explanation:

There are 35 performers and 345 pre-sold tickets, so we just need to subract them from the amount of people that the stadium can hold. 450 - 35 - 345 = 70 people left

Since there is space for 70 more people, each performer can get (70/35) = 2 guests

LT1 10th grade level

Answers

Answer:

The distance between the pirate and the treasure can be found from the following relationship between ΔEAF and ΔABC;

[tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] =  [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex] = [tex]\overline{EF}[/tex]/[tex]\overline{BC}[/tex]

Step-by-step explanation:

From the question diagram, we have two triangles, ΔEAF and ΔABC;

The ratio of the lengths of the sides [tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] =  [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex]

∠EAF and ∠BAC are vertical angles, therefore ∠EAF = ∠BAC

Therefore, ΔEAF and ΔABC are similar triangles by Side-Angle-Side, SAS, rule of similarity which states that two triangles that have ratios of a pair of their corresponding sides and the two sides also form equal angles within each triangle, then the two triangles are similar

Therefore, the ratio of the each pair of corresponding sides of the two triangles are equal

We have;

[tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] =  [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex] = 50 ft. /(100 ft.) =  [tex]\overline{EF}[/tex]/[tex]\overline{BC}[/tex] = [tex]\overline{EF}[/tex]/120 ft.

[tex]\overline{EF}[/tex] = 120 ft. × 50 ft./(100 ft.) = 60 ft.

[tex]\overline{EF}[/tex] = 60 ft.

The distance between the pirate and the treasure, [tex]\overline{EF}[/tex] = 60 ft.

An owl ate 3 mice. Prior to being eaten, the 3 mice together consumed a small block of cheese. The cheese contained 60 kJ of energy. How many kilojoules of energy from the block of cheese did the owl obtain after consuming the 3 mice?

Answers

The answer is 0.6 kj of energy

Plz help i have been asking this question too much

Answers

Answer:

6

Step-by-step explanation:

1/6 of 36 is 6

2/3 of 36 is 24

6+24=30

36-30=6

<3

Answer:

if u search your question on brainly you'll see alot of answers! here is one of them!!!

1. $350 at 5% for 4 years

Answers

Answer:

425.43

Step-by-step explanation:

A = P(1+r)^n

A = 350(1.05)^4

!!!!!URGENT!!!!FIND THE SLOPE
A. 3
B. - 3
X
O
12
14
6
D.

Answers

Answer:

3-2/6-3 =1/3

So the answer is 1/3'c'

pls answer question :)

Answers

okay im not sure but maybe try to find a number that can be = to 18 and that might be y

Answer:

y= 6x + 18

Step-by-step explanation:

Here, the problem says every package has 6 tortillas. X, in this problem, represents the number of packages, so x time 6, the number of tortillas each has, plus 18, the number of tortillas she already had, is going to give you y, the total amount of tortilla Jacinta has.

Find the value of x and y that will make each quadrilateral a parallelogram.​

Answers

Answer:

6

Step-by-step explanation:

Answer:

x = 15, y = 7

Step-by-step explanation:

opposite angles are congruent in a parallelogram:

=> 3x + 4 = 7y

=> 3x - 7y = -4

the same-side interior angles of a parallelogram are supplementary angles, which means they sum to 180°:

=> 8x + 11 + 7y = 180

=> 8x + 7y = 169

add the two equation 3x - 7y = -4 and 8x + 7y = 169 to eliminate y and solve for x:

=>  3x - 7y = -4

    8x + 7y = 169

+) ___________

    11x         = 165  => x = 15

plug  x = 15 into one of the two equation to solve for y:

=> 3(15) - 7y = -4

=> 45 - 7y = -4

=> 7y = 49

=> y = 7

The perimeter of a rectangle is 13 cm and its width is 2 ¾ cm. Find its length in cm.​

Answers

Answer:

length = 3 3/4

Step-by-step explanation:

13 = 2(2 3/4) + 2l

13 = 2(11/4) + 2l

13 = 22/4 + 2l

52/4 - 22/4 = 2l

30/4 = 2l

30/4 ÷ 2 = l

30/4 x 1/2 = l

30/8 = l

length = 15/4 or 3 3/4

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