three-quarters of a pile of bricks were used for a certain project. when two thirds of the reminder had been used, 50 bricks were left. how many bricks were there in the original pile?​

Answers

Answer 1

Answer:

600

Step-by-step explanation:

Let's consider this question using algebra.

Imagine the number of bricks in the original pile is [tex]x[/tex].

We are told that [tex]\frac{3}{4}[/tex] of the bricks are used for a project, meaning that [tex]\frac{3}{4} x[/tex] has been used, leaving us with [tex]\frac{1}{4}x[/tex] as our remainder.

Then, we are told that [tex]\frac{2}{3}[/tex] of the remainder are used to leave us with 50 bricks. This means that [tex]\frac{1}{3}[/tex] of the remainder is left, and this is equal to 50 bricks. This means that the remainder's original amount is equal to 150, because we are told that [tex]\frac{1}{3}[/tex] of the remainder is equal to 50.

So, we know that the remainder is 150, and we also know that the remainder is [tex]\frac{1}{4} x[/tex]. Let's now use these to form an equation.

[tex]\frac{1}{4} x = 150[/tex]

Because we know that a quarter of the original amount of bricks is equal to 150, we can multiply both sides of the equation by 4 to get the original amount of bricks in the pile.

[tex]x = 150 * 4 = 600[/tex]

So, there were 600 bricks in the original pile.


Related Questions

Gabriel quiere comprar un carro que cuesta 286,000. La agencia le ofrece un crédito a una tasa de 9% anual, con pagos trimestrales durante un año. Elabora la tabla de amortización del crédito

Answers

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Your Uncle Malcolm has a honeybee colony that consists of a single queen, hundreds of male drones and roughly 60,000 female worker bees. His beehive produced 200
pounds of honey last year. If Uncle Malcolm continues beekeeping with the same
number of bees, how many pounds of honey will his hive produce after 10 years? Write
your answer in scientific notation.

Answers

In scientific Notation , After 10 years he will have in total 2 x 10 ³ pounds.

What is Scientific Notation ?

Scientific Notation is a way of writing very large or small quantities.

It is written in the form of  x 10ˣ

It is given that

The colony of bees has a single queen, hundreds of male drones and roughly 60,000 female worker bees.

The quantity of honey produced is 200 pounds.

After 10 years he will have in total

200 * 10 = 2000 pounds

In scientific Notation it will be written as

2 x 10 ³ pounds.

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Someone do this please, ty.

Answers

5 is the missing value.

Step-by-step explanation:

12x = 60

x = 60/12

x = 5

Answer:

[tex]\boxed{\rm x = 5}[/tex]

Step-by-step explanation:

[tex] \rm \cfrac{12}{20} = \cfrac{3}{x} [/tex]

Find the missing value.

Solution with work shown:

Use criss-cross multiplication:

[tex]12 \times x = 3 \times 20[/tex][tex]12x = 60[/tex]

Divide both sides by 12:

[tex] \cfrac{12x}{12} = \cfrac{60}{12} [/tex]

[tex]x = 5[/tex]

Hence,the missing value is 5.


Identify one pair of vertical angles in the diagram below,

Answers

Angle b and d the third option

Answer:

b and d

Step-by-step explanation:

there are two

but only one is an answer choice

b and d

the other which is not an answer choice is

a and c

gathmath

A coin is flipped, and a number cube is rolled. What is the probability of getting heads on the coin and a number greater than 5 on the number cube?


HELPPP

Answers

Answer:

1/3

Step-by-step explanation:

(c) Nicole has a part-time job entering data in a computer. Her pay at the end of the week C
is affected by the amount of data she enters each hour. What is the dependent
variable?

Answers

Answer:

the dependent variable is the data because it's the one that changes

What is the reciprocal of (10xyz)/(40xyz)

Answers

Answer:

4

Step-by-step explanation:

10xyz/40xyz

the xyz would cancel out

leaving 10/40.

10/40 would then simplify to 1/4 (divide by 10)

1/4

The reciprocal of 1/4 is 4

To check:

1/4 * 4 = 1

Square root of (-16)^2

Answers

Answer: [tex]\sqrt{(-16)^{2} } =16[/tex]

Step-by-step explanation:

I looked it up on my calculator. I hope this helps!! :)

patulong po,thankyou

Answers

The answer is 27 cubic meters. Why? Well, the formula for the volume of a rectangular box is length times width times height (or base times height because length and width make up what is known as the base). Provided these measurements, all we need to do in this equation is multiply the length, width, and height to get our volume.

1.8 x 1.2 = 2.16

2.16 x 12.5 = 27

Because we just multiplied all three numbers by each other, we have identified our missing volume. The volume of the rectangular box is 27 cubic meters.

Your final answer: A.

F10) How many Solutions Does this
System Have?


y=2X
y = -x + 2

Answers

Answer:

See below.

Step-by-step explanation:

Problem:

Solve y=2x;y=−x+2

Steps:

I will solve your system by substitution.

y=2x;y=−x+2

Step: Solve y=2 x for y:

Step: Substitute 2x for y in y=−x+2:

y=−x+2

2x=−x+2

2x+x=−x+2+x(Add x to both sides)

3x=2

3x/3 = 2/3 (Divide both sides by 3)

x=2/3

Step: Substitute 2/3 for x in y = 2x

y=2x

y = 2(2/3)

y = 4/3 (Simplify both sides of the equation)

Answer:

x = 2/3 and y = 4/3

Answer:

only one at x = 2/3 y = 1 1/3

Step-by-step explanation:

At the same solution point Y = Y so

2x = -x + 2

3x = 2

x = 2/3

roger contracts childrens playhouses all the top of each house he places an isosceles triangle to from the roof the largest angle measures 146 what are the measurement of the other two angles

Answers

Step-by-step explanation:

there are clearly some typos in the question.

so, to summarize what I understood :

the roof of each playhouse is an isoceles triangle, with the largest angle being 146°.

we need to find the other 2 angles.

"isoceles" means that both legs are equally long.

that means automatically that both side angles (bottom left and bottom right) are equally large too.

and now, this please burn into your brain forever :

the sum of all angles in a triangle (no matter what type) is always 180°.

so, if we call a side angle x, we have here

180 = 146 + x + x = 146 + 2x

34 = 2x

x = 17°

so, both missing angles are 17°.

a pretty flat triangle roof.

The number N of tree of a given species per acre is approximated by the model
N = 68(10)-0.042
above the ground.
Use the model to approximate the average diameter of the trees in a test plot when N = 21.
7,5 ≤ x ≤ 40 where x is the average diameter of the trees (in inches) 3 feet

Answers

Answer:

1 answer

The area of triangle with vertices A(0, 9), B(0, 4) and C( - 5, - 9) is

Dedi had a combination lock.To open the lock he started at 37.He made 3 half turns clockwise and 3 quarter turns anticlockwise

What number did he end up at?

Answers

Turning clockwise means the number increase, and counterclockwise means the number decreases

Therefore your answer is 37 + (3*1/2)-(3*1/4)

= 37.75

Hope this helped :)

The ratio of the number of picture books encyclopedias, and fairy tale books Annette had is 3:4:5 She have half of her encyclopedias to her brother and he gave her 5 books of fairytales Now she has 14 more books of fairy tales than encyclopedias How many picture books does she have

Answers

The number of picture books does Annette have is 76 books.

Given the ratio of picture books , encyclopedias and fairy tales books is 3:4:5 and she have half of her encyclopedias to her brother and  he gave her 5 books of fairytales

We need to find the number of picture books does she have

According to the statement the total number of books does Annette have is

3k+4k+5k = 12k

Where k is total number of books

Now , Picture book she have = 3/12k = 1/4k

Encyclopedia she have = 4/12k = 1/3k

Fairy tale she have = 5/12k

Here,

Encyclopedia +14 = Fairy tale

Substituting the values of Encyclopedia and Fairy tale

(1/3 -1/2)k +14 = (5/12k -5 )

Therefore.

(1/6k+14) = (5k/12-5)

Therefore,

14+5 = 5k/12 - k/6

Therefore,

19 = 3k/12

19*4=k

76 = k

Here k = 76 books

Hence the total number of picture books does she have is 76

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Determine whether each ordered pair is a solution to the inequality −7x−y>2.

Answers

Answer:

[tex]x < - \frac{2 + y}{7} [/tex]

Step-by-step explanation:

[tex] - 7x > 2 + y \\ x < - \frac{2 + y}{7} [/tex]

At the start of the week, Monique’s savings account had a balance of $326. She made a $45 withdrawal each day for seven days. During that week, she also made two deposits of $125 each. Which integer represents the balance in Monique’s account at the end of the week?
–891
–261
261
891

Answers

Answer:

C. 261

Step-by-step explanation:

45 times 7= 315

326-315=11

125 times 2=250

250+11=261

so the answer is C. $261

In the following month 10% savings on other costs are expected. What is the total other costs target for next month for the five locations

Answers

Answer:

The given question is incomplete. The graphs for the question are attached below.

Total savings on other costs expected in the following month is 13,950.

Total other costs targeted for next month for the five locations:

Washington Place = 14,850

Lincoln Square = 9,900

Millienium Concourse = 18,000

The old mill = 13,500

CWG Tenton = 0

Step-by-step explanation:

According to the graphs, there are two parts to this question

1. In the following month, 10% savings on other costs are expected.

The graph is attached below for reference

10% savings on other costs are expected in the following month:

=> (4,000 + 2,000 + 5,000 + 2,000 + 2,500) * (1-10%)

=> 15,500 * [tex](1-\frac{10}{100})[/tex]

=> 15,500 * [tex]\frac{90}{100}[/tex]

=> 13,950

Total savings on other costs expected in the following month is 13,950

2. Total other costs target for next month for the five locations are:

Washington Place = 6,000+3,000+3,500+ 4,000 = 16,500 * 0.9 = 14,850

Lincoln Square = 5,000+ 2,000+ 2,000+2,000= 11,000 * 0.9 = 9,900

Millienium Concourse =7,000+3,000+5,000+5,000= 20,000 * 0.9 =           => 18,000

The old mill = 6,000+ 5,000+ 4,000=15,000 * 0.9 = 13,500

CWG Tenton = 0 * 0.9 = 0

Total other costs target for next month for the five locations:

Washington Place = 14,850

Lincoin Square = 9,900

Millienium Concourse = 18,000

The old mill = 13,500

CWG Tenton = 0

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Need help finding the quadratic function...15 pts for your help

Answers

The function is [tex]y = (x +2)^2 + 5.[/tex]

we use the vertex form of the quadratic equation

We have given a graph,

What is the vertex form of the quadratic equation?

y = a(x - h)^2 + k.

Therefore the vertex of the given graph is

See the vertex at (-2, 5)

Since the general way to write the vertex is (h, k), we compare (h, k) to (-2, 5).

[tex]y = a(x - (-2))^2 + 5.\\y=a(x+2)^2+5......(1)[/tex]

Now we have given that (-4,1) use this value in the above equation so we get,

[tex](1)=a(-4+2)^2+5[/tex]

[tex]1=a(-2)^2+5[/tex]

[tex]1=4a+5[/tex]

[tex]1-5=4a[/tex]

[tex]-4=4a[/tex]

[tex]a=-4/4[/tex]

[tex]a=-1[/tex]

Using the value of an in equation (1) we get,

Therefore the function is [tex]y = (x +2)^2 + 5.[/tex]

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Expanded form of 1,256

Answers

Answer:

one thousand two hundred fifty six

Step-by-step explanation:

please mark me as brainlest

1,256 = 1 x 1000 + 2 x 100 + 5 x 10 + 6 x 1

A line passes through (-9,-6) and has an undefined slope. Write an equation of the line satisfying the given conditions.
A. x= -9
B. y= -9
C. y= -6
D. x= -6

Answers

The equation of the line is x = -9 , Option  is the correct answer

What is the equation of a line ?

The equation of a line is given by y = mx+c

where m is the slope and c is the intercept

It is given that

A line passes through (-9,-6) and has an undefined slope.

undefined slope means it is a vertical line at -9

Therefore the equation of the line is x = -9 , Option  is the correct answer

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what are the solutions in the following equations?​

Answers

Answer: (0, -6) and (1, -5)

Step-by-step explanation:

If [tex]x-y=6[/tex], then [tex]y=x-6[/tex]. Substituting this into the second equation,

[tex]x-6=x^{2}-6\\\\x^{2}-x=0\\\\x(x-1)=0\\\\x=0, 1[/tex]

If x=0, y=-6.

If x=1, y=-5.

So, the solutions are (0, -6) and (1, -5)

The segments shown below could form a triangle.
A
C
B
8
O
B
A. True
B. False
15
A

Answers

Answer:

False

Step-by-step explanation:

these lines are unable to form a triangle, the longest line (BA) is 15. The other small lines (AC and CB) if added together, need to be longer than 15, otherwise if you were trying to form a triangle, they would not be able to connect completely with eachother while creating a triangle shape

I also dont get this :(

Answers

An equation is formed of two equal expressions. If x is increased by 5 then the value of y is increased by 10.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that y=2x+1, now if the value of x increased by 5. then the value of y will be,

[tex]y_1=2(x+5)+1\\y_1 = 2x + 11[/tex]

Now if we compare y and y₁, then it can be said that if x is increased by 5 then the value of y is increased by 10.

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Help! Select the correct answer.
Graph the following system of inequalities. WILL GIVE BRAINLY!!

Answers

Answer:

w is the correct answer

Step-by-step explanation:

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

If we choose the point (3, 0), we obtain

0 <= -1, which is not true. So we shade the region to the left of x = 4 (which is a dashed vertical line) and below

y = (1/3)x - 2 (which is a solid line).

A small country is comprised of five​ states, A,​ B, C,​ D, and E. The population of each state is given in the following table. Congress will have 57 seats divided among the five states according to their respective populations. Use​ Jefferson's method with d=32,920 to apportion 57 seats

Answers

Based on Jefferson's method and the value of d, the apportionment of the 57 seats will be:

A - 4 seats.B - 5 seats.  C - 10 seats.D - 16 seats.E - 22 seats.How will the seats be allocated?

This is done by dividing the population of the state by the d value and then rounding this off:

State A:

= 138,352 / 32,920

= 4.2

= 4

State B:

= 181,282 / 32,920

= 5.5

= 5

State C:

= 337,026 / 32,920

= 10.23

= 10

State D:

= 549,634 / 32,920

= 16.6

= 16

State E:

= 729,736 / 32,920

= 22.1

= 22

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area of a trapezium base 8 top6 height 4

Answers

The area of a trapezium with base 8 top 6 height 4 is 28 cm².

Given that, base of trapezium (b)=8 cm, top of trapezium (a)=6 cm and height of trapezium = 4 cm.

What is the area of a trapezium?

The trapezium is a quadrilateral with pair of sides parallel. The area of a trapezium is the area enclosed within its four sides.

We know that area of a trapezium [tex]=\frac{1}{2}(a+b) \times h[/tex]

Where a and b are parallel sides of a trapezium.

Now, the area of a given trapezium [tex]=\frac{1}{2}(6+8) \times 4[/tex] cm²

=14×2=28 cm²

Therefore, the area of a trapezium with base 8 top 6 height 4 is 28 cm².

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Which statement describes the end behavior of the function f(x)= |x-7| -7?

A. As x approaches negative infinity, f(x) approaches negative infinity.
B. As x approaches negative infinity, f(x) approaches positive infinity.
C. As x approaches positive infinity, f(x) is no longer continuous.
D. As x approaches positive infinity, f(x) approaches negative infinity.

Answers

Answer:

A. B. C. D.

Step-by-step explanation:

because Which statement describes the end behavior of the function f(x)= |x-7| -7?

A. As x approaches negative infinity, f(x) approaches negative infinity.

B. As x approaches negative infinity, f(x) approaches positive infinity.

C. As x approaches positive infinity, f(x) is no longer continuous.

D. As x approaches positive infinity, f(x) approaches negative infinity.

I’m so confused on what numbers l should put into the boxes

Answers

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The lines for the given statements can be plotted as shown below.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is y-intercept.

The lines for the given statements can be plotted as shown below.

The coordinate grid can be filled as,

1)

x        0         3         1

y        3         0         2

2.)

x        0         1         -1

y         1         0          2

3.)

x         0         4         -1

y         -2         0          2

4.)

x         0         1           1

y         -2         0         -2

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The equation for free fall at the surface of some planet (s in meters, t in seconds) is s=2.86t^2. How long does it take a rock falling from rest to reach a velocity of 25.1 m/s on this planet?

Answers

The time taken by the rock will be 8.77 seconds.

What is speed?

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

Given that:-

The equation for free fall at the surface of some planet (s in meters, t in seconds) is s = 2.86t²

The time will be calculated by using the speed formula.

Speed = Distance \ Time

25.1   = 2.86t² \ t

t   =  25.1 / 2.86

t   =  8.77 seconds

Therefore the time taken by the rock will be 8.77 seconds.

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Find the sum of all the even
numbers between 23 and 29.

Answers

Answer:

78

Step-by-step explanation:

even numbers are numbers that end in 0, 2, 4, 6, or 8. these numbers can be considered even because they would evenly split between a group of 2

the "sum" of a group of numbers is the numbers added together

So, the numbers between 23 and 29:

23, 24, 25, 26, 27, 28, 29

(even numbers are in bold)

    if we add these numbers together,

 {1}                                  {carry the 1 from the 18 in the one's place}

  24

  26

+ 28

______

  78

So the sum of all the even numbers between 23 and 29 is 78.

hope this helps!!

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