A factory produces blue pens and black pens. Each week, 2/3 of the pens produced at the factory are black.

Write and solve an equation that can be used to determine the number of blue pens (x) produced at the factory in a week when 45,000 pens are produced.

Answers

Answer 1

Answer:

15,000

Step-by-step explanation:

1/3 times 45,000 = 15,00

Answer 2

The number of blue pens produced at the factory in a week when 45,000 pens are produced is 15,000.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

A factory produces blue pens and black pens.

2/3 of the pens produced at the factory are black.

If T is the total pens produced at the factory, then the number of black pens produced is 2/3 T.

Number of blue pens = T - 2/3 T = 1/3 T

Given that,

Total pens produced = 45,000

Equation to find the number of blue pens is,

x = 1/3 × 45,000

Solving,

x = 15,000

Hence the number of blue pens produced is 15,000.

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Related Questions

Solve each equation.

2(−3)=14
-5(−1)=40
12(+10)=24
16(+6)=11
57(−9)=25

Answers

Answer:

jkudrhytiu4wry bui634y uiyb4uiyttui4ytui4yuityu34w ytiuyy4ty4oi8t4otiu4ioyt

Step-by-step explanation:

ryeropiutopier5uoiyturloiuy6otieruoiyluriluyrtuur6

The Roger's applied for a $70,000 mortgage for 30 years at 9%. Since they had a good credit history,
they actually qualified for a 25 year mortgage at 7%. What were the payments on the 9% loan, and the
7% loan? What do they save monthly? What is the total repayment on the 9% loan and the 7% loan, and
what do they save over the life of the loan?

Answers

9514 1404 393

Answer:

9% payments: $563.247% payments: $494.75monthly savings: $68.499% total repaid: $202,764.907% total repaid: $148,423.63savings: $54,341.27

Step-by-step explanation:

It works nicely to let a calculator or spreadsheet figure the payment and loan values. The graphing calculator work is attached.

Answer:

9% payments: $563.24

7% payments: $494.75

monthly savings: $68.49

9% total repaid: $202,764.90

7% total repaid: $148,423.63

savings: $54,341.27

Step-by-step explanation:

Angelica made sales of $5,000. She receives a 3% commission. How much would her commission be if her sales doubled?​

Answers

Answer:

Step-by-step explanation:3% of $10,000 is $300.

Alexis has $115 and he is earning $50 per week at his summer job. Eduardo has $130 and is earning $40 per week at his summer job. Which system of equations could be used to determine how many weeks they must work to earn the same amount?​

Answers

Answer:

Step-by-step explanation:

Alexis earned to equal Eduardo earned in how many weeks

Alexis earned           115 + 50w = Total        w equals weeks

Eduardo earned      130 + 40w = Total        w equals weeks

subtract equations    -15 + 10w =  0

                                            10w = 15

                                             w = 1.5 weeks   they both will have $190

Answer:

addition or multiplication

pls help!!!
Find the missing side. (Round to the nearest tenth, if necessary)

Answers

Answer:

7.8

Step-by-step explanation:

We can use pythagorean theorem [tex](a^2+b^2=c^2)[/tex] where a and b are sides of a right triangle and c is the hypotenuse.

[tex]x^2+13.3^2=15.4^2[/tex].

[tex]x^2=15.4^2-13.3^2\\[/tex]

[tex]x^2=237.16-176.89\\x^2=60.27\\x=7.763[/tex]

Rounded to the nearest tenth, x = 7.8

Answer:

This is your answer ☺️☺️☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

which expression represents the area of the trapezoid below? Use the given formula: A= 1/2 (b1 + b2)​

Answers

Answer:

I think its 5x²-27x+10

Step-by-step explanation:

Area of trapezium:

a+b/2× h

So substitute into the formula:

4x - 1 + 6x - 3 /2 × (x - 5)

1. 4x - 1 + 6x - 3 (collect all like terms)

4x + 6x + -1 -3 = 10x - 4

2. 10x - 4 / 2

= 5x - 2

3. 5x - 2 × x - 5

Use FOIL:

5x ² - 25x - 2x + 10

= 5x ² - 27x +10

If we have 9 candy bars and each student gets 1/3 candy barwith 10 students, how much of a sandwich does each student get? Explain using examples or drawings

Answers

Answer:

...................

Step-by-step explanation:

..

PLEASE HELP ME YOU DECENT PEOPLE

Answers

Answer:

A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

First we find what fraction 8 is of 12. Which is 2/3. With 2/3 we use this fraction with 15 (which is 15/3 = 5 then we multiply this by the numerator which is 2 x 5 = 10) So, 2/3 of 15 is 10.

HELPPP WIILLLL MAKR BRAINLIEST IF RIGHTTTT

Answers

Answer:

I think the answer is letter B

Answer:

4π yd²

Step-by-step explanation:

Area of a circle = πr²

πr²=4π

r²=4

r=2

Circumference of a circle = 2πr = 2π(2) =4π

If you deposit $300 a month into an account that accredits you 3% compounded monthly, how much money will you have in your account after 25 years?
A. $112,430
B. $133,800
C. $122,653
D. $98,902

Answers

Compound interest is the interest generated on a sum of money invested. The amount of money that you will have in your account after 25 years is  $122,653

How to calculate the compound interest?

Compound interest is the interest generated on a sum of money invested. The formula for calculating compound interest is expressed as:
A = P(1+r/n)^nt

Given the following parameters

Principal P = $3600 (a year)
rate r = 0.03
Time  t = 25 years

n  = 12 (time of compounding)

Substitute

A = 3600(1 + 0.03/12)^12(25)
A = 3600 (1.0025)^300
A = 3600(2.1150)
A = $122,653

Hence the amount of money that you will have in your account after 25 years is  $122,653

Learn more on compound interest here: https://brainly.com/question/24274034

the figure below is made of unit cubes

Answers

Answer:

Ok cool can i see the figure?

A bag contains 8 blue coins and 10 red coins. A coin is removed at random and replaced by three of the other color.
Part 1 out of 3
What is the probability that the removed coin is blue? Enter your answer as a simplified fraction. (PLEASE HELP)

Answers

Answer:

Wait can you re expain in the comments

Step-by-step explanation:

⚠️URGENT PLEASEEEEE HELP!!!

Find the m

Answers

Answer

It is 112

Step-by-step explanation:

Kaya made the graph of the linear system x+y=1
2x-3y= - 18
What is the solution to the linear system?​

Answers

Answer:x-interpect: -9

y-intercept=6

slope=2/3

Step-by-step explanation:

He answered Alrdy correctly I’ll just take some points

Can somone pls help me with this I have a C- in math and I really need help also a like show work on each one plsss

Answers

Answer:

1. [tex]\frac{3}{8}[/tex]

2. [tex]\frac{1}{4}[/tex]

3a. [tex]-\frac{1}{4}[/tex]

3b. 3

3c. [tex]-\frac{4}{5}[/tex]

4. [tex]m = \frac{y_1 - y_2}{x_1-x_2}\\[/tex]

Step-by-step explanation:

1.

Rises 6 inches for every horizontal change of 16 inches

Slope = rise/run

Slope = 6/16

Slope = 3/8

2.

Rises 3 feet for every horizontal change of 12 feet

Slope = rise/run

Slope = 3/12

Slope = 1/4

3a.

[tex]m = \frac{y_1 - y_2}{x_1-x_2}[/tex]

[tex]m = \frac{3-2}{-2-2}[/tex]

[tex]m = \frac{1}{-4}[/tex]

[tex]m = -\frac{1}{4}[/tex]

3b.

[tex]m = \frac{y_1 - y_2}{x_1-x_2}\\[/tex]

[tex]m = \frac{-1 - 2}{-1-0}[/tex]

[tex]m = \frac{-3}{-1}[/tex]

[tex]m = 3[/tex]

3c.

[tex]m = \frac{y_1 - y_2}{x_1-x_2}\\[/tex]

[tex]m = \frac{1 - (-3)}{-1-4}\\[/tex]

[tex]m = \frac{4}{-5}\\[/tex]

[tex]m = -\frac{4}{5}[/tex]

4.

[tex]m = \frac{y_1 - y_2}{x_1-x_2}\\[/tex]

13. The product of 0.21 and 1.8 is 0.378
A) True
B) False

Answers

Answer:

true

Step-by-step explanation:

because 0.21 ×1.8 is 0.378

giving brainliest *easy*

Answers

Answer:

1256

Step-by-step explanation:

you pick a card at random 4,5,6,7 What is p(5)

Answers

Answer:

1/4

Step-by-step explanation:

probability of picking 5 is 1/4

the number of 5 in the set is 1 and the total is 4

hence 1/4

Answer:

1/4 or 25% chance

Step-by-step explanation:

There are 4 cards in total

There is only 1 5 card.

To find the probability of getting 5:

1/4 = 25%

Which expression is a perfect cube?
224
m 28

Answers

Answer:

alan walker dead girl

Step-by-step explanation:

3. Mandy made monthly deposits of $300 into a savings account for two years.
The account provided her with an interest rate of 3.5% compounded
monthly. She then left her money in the account to grow at 2.5%
compounded quarterly for an additional three years. How much money is in
the account at the end of the five years? (5 marks)
Formulae:
f = (1 + i)" - 1
i
nm Xt
m

Answers

Answer:

the answer is 35

Step-by-step explanation:

Help quick!like really quick

Answers

Answer:

2 is 2930in²

Step-by-step explanation:

2x+3y=15 x+y=6 solve these simultaneous equations

Answers

Answer:

do you need it for both sides

Step-by-step explanation:

Evaluate the following problem: (7.2 × 105)(0.4 × 10−3)

Answers

Answer:

756

Step-by-step explanation:

Answer:

756

Step-by-step explanation:

(7.2×105)(0.4×10−3)

Multiply 7.2 and 105 to get 756.

756(0.4×10−3)

Multiply 0.4 and 10 to get 4.

756(4−3)

Subtract 3 from 4 to get 1.

756×1

Multiply 756 and 1 to get 756.

756

Simplify: 6a - 9+
10a.

Answers

16a - 9 I think that’s the answer hope this helped

what is the value of x​

Answers

Answer  The value of x can be found from eqautions or graphs

Step-by-step explanation:

Hi! So there is no equation, image, or otherwise added here which would make it difficult to answer your question. X is always changing based on the situation. But if you have an equation you should be able to simplify the equation and then take the quadratic formula to get the value of x. If you have  a graph you can find the rise/run. Sorry I cannot help more and I hope you find what you are looking for!

the area of a rectangular garage is 32 square meters. the perimeter is 24 meters. what are the dimensions of the garage?

___ meters by ____ meters​

Answers

Answer:

8 meters by 4 meters

Step-by-step explanation:

2×8 + 2×4 = 16 + 8 = 24,

y=(x-1)^2-9 standard form

Answers

Answer:

Y=x^2-2x-8

Step-by-step explanation:

rgbrgbrgbgbeefweuvhuuvhduvwg

The standard form of the equation y=(x-1)²-9 is y=x²-2x-8

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

y=(x-1)²-9 equation is in the form of a quadratic equation

where y is the unknown variable and x is the known variable.

The equation can be written in standard form by expanding the (x-1)² term and combining like terms.

y=(x-1)²-9

y=x²+1-2x-9

Combine the like terms

y=x²-2x-8

The expanded form of the equation is y=x²-2x-8

Hence, the standard form of the equation y=(x-1)²-9 is y=x²-2x-8

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A rectangle has side lengths of 3 inches and square root 5 inches. Which statement
must be true
about the area of the rectangle?

Answers

Answer:

B

Step-by-step explanation:

Firstly, we will take a look at the equation and the options listed to choose from.

Secondly, we notice these options are reffering to rational and irrational numbers.

A rational number is a number that can be expressed in a ratio of 2 integers. (Form example whole numbers such as 1 (1/1), 2(2/1) 5(5/1, 10/2) and even decimals like 3.75 (375/100) or (750/200) etc.

As for irrational numbers, these can NOT be simplified between a ratio 2 integers. For example the question states 3 multiplied by the square root of 5. The square root of 5 is 2.2360679... multiplied by 3 we get 6.7082..... Numbers such as those can go on for infinity and can not be simplified as integers therefore they are irrational numbers.

.............................................................................................................

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.

With this knowledge, it means then options A and C are out. So lets take a look at B and D which statement is true and which is false?B is true because we already know that the product of the numbers was 6.708.... irrational number based on our workings above.D is false because if the product is 6.708 it can not be the square root of 15 (3.872)

B. It is an irrational number because the product of the side lengths is [tex]3\sqrt{5}[/tex], an irrational number.

According to this question, we know the lengths of the two sides of the rectangle, the length of a side is an positive integer and the length of the other one is an positive irrational number. The area of the rectangle is the product of the two sides lengths mentioned above.

By algebra, we know that the product between an integer and an irrational number leads to other irrational number. Therefore, the area of the rectangle is represented by an irrational number.

[tex]A = (3)\cdot \sqrt{5}[/tex]

[tex]A = 3\sqrt{5}[/tex]

Hence, the right answer is B.

We kindly invite you to check this question on irrational numbers: https://brainly.com/question/528650

Hey guys, I really need help with this question!Please no links, or I will report! Dont answer if you dont know please! ​

Answers

The second option :)

4. I When we multiply
37
X 26
by using the common method, we start the sec-
ond line by writing a zero:
37
X 26
222
0
Explain why we place this zero in the second line.

Answers

Step-by-step explanation:

we do this because when you start multiplying your 2nd digit you would put the zero to signifie that you started a mother digit.

if this is not what your looking for then sorry

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