Box A contains 10 pens that are either red or blue in colour. Box B contains 23 pens that are also either red or blue in colour. The number of blue pens in Box B is twice the number of blue pens in Box A while the number of red pens in Box B is thrice the number of red pens in Box A. Write a pair of linear equations using b as the number of blue pens in Box A and r as the number of red pens in Box A.

Answers

Answer 1

Answer:

b + r = 10 - - (1)

2r + 3b = 23 - - (2)

Step-by-step explanation:

Number of Blue pens in box A = b

Number of red pens in box A = r

BOX A :

Contains 10 pens that are either red or blue

b + r = 10

BOX B:

Contains 23 pens that are either red or blue ;

Red pens in box B = 2 tines the number of red pens in box A

Blue pens in box B = 3 times the number of blue pens in box A

2r + 3b = 23


Related Questions

Write the word sentence as an equation. Then solve the equation. The quotient of a number and $-1.5$ is $21$ . Equation: Question 2 Solution: $x=$

Answers

Answer:

b

Step-by-step explanation:

6. Peter is standing next to a flagpole and wants to
know how tall it is. Peter knows that he is 5'6" tall,
and that his shadow is 3'3" long. If the flagpole's
shadow is 9'9" long how tall is the flagpote?

Answers

Answer:

forstone

Step-by-step explanation:

sike I lied I dont know this RESPECTFULYY!!

what is the square root of 49/64?​

Answers

Answer:

8/7

Step-by-step explanation:

mark me brainliest

Answer:

49/64

= √49/√64

= √ (49/64)

= 7/8

Add the polynomials :)

Answers

Answer:

4x^3+6x^2-15x+6

Step-by-step explanation:

Answer:

[tex]4x^2 + 6x^2 - 15x + 5[/tex]

Step-by-step explanation:

Hello!

We can add like terms.

The terms that we see here are [tex]x^3, x^2, x,[/tex] and integer values.

We can combine like terms by adding the coefficients.

Add[tex](6x^2 - 9x + 6)+(4x^3 - 6x)[/tex][tex]6x^2 - 9x + 6 + 4x^3 - 6x[/tex][tex]4x^3 + 6x^2 - 9x - 6x + 6[/tex][tex]4x^2 + 6x^2 - 15x + 5[/tex]

Order: Highest degree to lowest degree. The final expression is [tex]4x^2 + 6x^2 - 15x + 5[/tex]

what is the median of the following numbers? 6,4,1,9,3,8,3,5,10​

Answers

The median is 3 in this question

The measures of Z1 and 22 are 30% and 45% of the sum of the angle measures of the triangle. Find
the value of x.

Answers

Answer:

45 degree or 25%

Step-by-step explanation:

sum of angles of triangle= 180 so

[tex]180*\frac{30}{100}=54[/tex]-----> angle 1

(note: 30% is equal to [tex]\frac{30}{100}[/tex])

[tex]180*\frac{45}{100} =81[/tex]------> angle 2

lets add angle 1 and 2 together

54+81=135

now lets subtract it from 180 to get the remained angle

180-135=45 and if you want it in % so you just get 100%-(30%+45%)= 25%

What is 15,000 in percentage

Answers

Add more details to answer

Helpful source:

https://percent-calc.com/what-is-9-of-15000

Answer:

7%

Step-by-step explanation:

im not sure but thanks me later

Determine the value of theta, to the nearest degree. Please show work.

Answers

Answer:

∅ = 22.33°

Step-by-step explanation:

tan 28° = h/15

0.5317 = h/15

h = 7.98

sin ∅ = h/21

sin ∅ = 7.98/21

sin ∅ = 0.38

∅ = 22.33°

Using the order of operations, what should be done first when evaluating this expression? -1/2 ÷ 2 (9 + 3) - 4 - 3/4 (8)

divide -1/2 ÷2
add 9 + 3
multiply -3/4 (8)
subtract 3 - 4​

Answers

Answer:

multiply -3/4 (8)

Step-by-step explanation:

PEMDAS: Parentheses, Exponents, Multiplication/Division or Division/Multiplication from left to right, Addition/Subtraction.
First, we need to get rid of the parentheses by adding 9+3.
Correct answer is: add 9+3

what is multimedia? explain various types of multimedia.​

Answers

Answer:

multi media is the computer system that has graphics, animation, text, video , etc

OMG PLEASE HELP ;-; FIRST ANSWER GETS BRAINLIST. AND A REAL ANSWER PLEASE

Point F is reflected over the y-axis to create F’. Use an ordered pair to name the location of F’, and determine the distance between F and F’.

Answers

Answer: Reflection about the y-axis is according to the rule

(x,y)->(-x,y)

Therefore F(x,y) -> F'(-x,y)

The distance between F' and F is (-x,y)-(x,y)=-2x, or the positive distance is 2x.

Step-by-step explanation:

what is 6 divided by 10.00 (show work)

Answers

Answer:

3/5

Step-by-step explanation:

6/10 => 3/5

in decimal form its 0.6

Answer:

6÷1000=0,6

Step-by-step explanation:

6÷1000=0,006

0,6/100=

0,6%

the Correct answer is 0,6

help me with math please ❤️❤️❤️❤️

Answers

Answer: (0.-7)

Step-by-step explanation:

Take the equation

y=x-7

The last number 7 is the Y-intercept

(0.-7)

Answer:

(0,-7)

Step-by-step explanation:

Hey There!

So we can easily find which one is a solution but taking an order pair and plugging in the x value

then we solve for y and if we get the value of y that is with the matching x value then it is a solution

for example for the first pair we plug in -1 to x

-1-7=-8

-8 does not equal -6 therefore the first one is not a solution

for the second one we plug in 0 to x

0-7=-7

-7=-7 therefore it is a solution

but lets just check the rest to be safe

for the third one we plug in 8 to x

8-7=1

-1 does not equal 1 thus it is not a solution

for the last one we plug in -1

-1-7=-8

-8 does not equal 6 therefore it is not a solution

so we can conclude that the second one is a solution

PLEASE HELP!
Please find the area of the composite figure. Number only please. Thank you!!

Answers

Answer:

47(whatever the unit is square)

Step-by-step explanation:

Write and solve an equation to answer the question. 9 is 12% of what number?

Answers

12% = 12/100 = 0,12

0,12 x x = 9
x = 9/0.12
x = 75

9 is 12% of 75

7. What is the solution set for -2x-8<2?

Answers

Answer:

-2x - 8 < 2

-2x < 10

x > -5

3) Qual das fórmulas abaixo é prevista para o
composto formado por átomos de fósforo (Z =
15) e flúor (Z = 9), considerando o número de
elétrons da camada de valência de cada átomo? a forma da letra​

Answers

Answer:

P - Tem 5 elétrons na última camada de valência. Quer ganhar 3 elétrons.

F - Tem 7 elétrons na última camada de valência. Quer ganhar 1 elétron.

PF3

A line passes through the point (-1, -2) and has a slope of 5.

Write an equation in slope-intercept form for this line.

Answers

Answer:

[tex]y=5x+3[/tex]

Step-by-step explanation:

Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)

1) Plug the given slope 5 into the equation

[tex]y=mx+b\\y=5x+b[/tex]

2) Find the y-intercept [tex]b[/tex] by plugging in the point (-1,-2)

[tex]y=5x+b\\-2=5(-1)+b\\-2=-5+b[/tex]

Add 5 to both sides

[tex]-2+5=-5+b+5\\3=b[/tex]

3) Plug the y-intercept back into the equation

[tex]y=5x+3[/tex]

I hope this helps!

Each bus for Philips Elementary School transports 40 students to school. There are 12 buses that transport students to school each day. How many students are transported to school each day by bus? Show your work.

Answers

Answer:

480 students are transported to school each day.

Step-by-step explanation:

Since there are 12 buses and each one of them transports 40 students that means that the total amount of students will be equal to...

12 x 40 = 480

Could anyone help me with this question? Thank you!

Answers

Answer:

C

Step-by-step explanation:

We want to simplify the rational expression:

[tex]\displaystyle \frac{n^4-11n^2+30}{n^4-7n^2+10}[/tex]

First, we can factor both the numerator and the denominator. This yields:

[tex]\displaystyle =\frac{(n^2-6)(n^2-5)}{(n^2-2)(n^2-5)}[/tex]

Cancel like terms:

[tex]\displaystyle =\frac{(n^2-6)}{(n^2-2)}[/tex]

However, since we canceled a term from our expression, we must place restrictions in order to stay true to the original expression.

Rational expressions are undefined whenever the denominator equals 0. The denominator is (before canceling):

[tex](n^2-2)(n^2-5)=0[/tex]

Solve for n. By the zero product property:

[tex]n^2-2=0\text{ and } n^2-5=0[/tex]

Therefore:

[tex]n^2=2\text{ and } n^2=5[/tex]

By taking the square root of both sides (since we are taking an even root, it is required to have plus/minus):

[tex]n=\pm\sqrt{2}\text{ and } n=\pm\sqrt5[/tex]

Therefore, our fully simplified expression is:

[tex]\displaystyle \frac{n^2-6}{n^2-2}\, ,n\neq \pm\sqrt5, \pm\sqrt2[/tex]

Hence, our answer is C!

1/5 as a decimal and rounded to the nearest tenth

Answers

Answer:

0.2

Step-by-step explanation:

1 divided by 5

2/5=0.4

3/5=0.6

4/5=0.8

5/5=1

Adam has a ladder that is 6m long. His ball got stuck in a tree, and he wants to use the ladder to get it down. He puts the ladder 2m away from the base of the tree. How high will the ladder reach? Round your answer to the nearest tenth of a meter.

Please help I really need it !!
(anything would be helpful) - Urgent

Answers

Answer:

0.08

Step-by-step explanation:

For square ABCD, if m∠ACB = (8x – 27)°, find the value of x.

Answers

Answer:

x=9

Step-by-step explanation:

Since ABCD is a square, we know that AC bisects ∠BCD(=90), and therefore ∠ACB=45.

8x-27=45

8x=72

x=9

Answer:

x = 9°

Step-by-step explanation:

∠ACB = 45° because line AC bisects ∠BCD which is 90° (because square).

8x - 27° = 45°

add 27° to each side:

8x = 72°

divide both sides by 8:

x = 9°

What is m Using the hexagon

Answers

it would be 132°

because all the angles on a hexagon together =720. so you will subtract each known angle to find the missing. 720-135-112-112-88-141=132

IM BEGGING PLEASE HELP One angle of the triangle is 30% larger than the other and 36 ° smaller than the third. Find the angles of the triangle.

Answers

9514 1404 393

Answer:

  52°, 40°, 88°

Step-by-step explanation:

Let x represent "one angle". This is 30% larger than "the other", so we have ...

  x = "the other" × (1 +30%)

  x/1.30 = "the other"

If x is 36° smaller than the third, then the third is x+36.

__

The sum of the angles is 180°.

  x + x/1.3 + (x +36) = 180

  x(2 +1/1.3) = 144

  x = 144/(2 +1/1.3) = 52

  x/1.3 = 52/1.3 = 40

  x +36 = 88

The angles of the triangle are 52°, 40°, and 88°.

The measure of an angle is 77°. What is the measure of its complementary angle?

Answers

Answer:

13º

Step-by-step explanation:

Complementary angles are angles that add up to 90º. So, subtract 77 from 90, and you get 13.

NOT
0.91666666666 as answer please

Answers

Answer:

11/12

Step-by-step explanation:

2/12 +9/12 = 11/12

Solve for p: p2 + 36 = 13p.

Pls help​

Answers

Answer:

p=4

p=9

Step-by-step explanation:

A rectangle is 14 inches long and 6 inches wide. Find its area. A 78 square inches B 20 square inches C 84 square inches D 26 square inches​

Answers

Answer 34 square inches

Step-by-step explanation 2+2+2+4+4+9+9

Chad is taking a taxi from the airport to his home. There is a $7 flat fee for riding in the taxi. In addition, Chad must pay $2 per mile. How much will Chad pay if he takes the taxi for 50 miles? Group of answer choices

Answers

Answer:

$107

Step-by-step explanation:

Total amount paid = flat fee + price per mile x total mile

$7 + 50($2) = $107

Other Questions
how is the Jiang Jieshi's gov in taiwan similar to mao Zedong's in communist china? A fitness trainer sets the incline on atreadmill to 7. The walking surface is 5feet (60 inches) long. Approximately howmany inches did the trainer raise theend of the treadmill from the floor? I need help on this right now please help ASAP!!! Can anyone please tutor me, or help me find a video that gives me help on all off Pre-AP 6th grade math. I'm 3 semesters behind, and am in need of desperate help. I will give brainliest! What are the coordinates of point of intersection of y=x+3 and y=3x-3? what types of interactions regulate gene expressions Your employer tells you that the salary for your new job will be less than $484 per week but not less than $396 per week. Which inequality describes your salary, S? 2. Find the missing side length.Round answers to the nearest tenth.1329 I need help with this plz 2x+3=5` write this in statement form.` Question 7 of 10What is the main responsibility a person takes on when borrowing moneyfrom a bank?O A. The person must use the same bank for all future loans.B. The person has to spend all of his or her savings paying the loan.C. The person cannot take on any other loans at the same time.O D. The person has to make payments in full and on time. Aaron saw it was 86 Fahrenheit, F, in Australia in January. Aaron used the formula C=5/9(F32) to find the temperature in degrees Celsius, C. What temperature, in degrees Celsius, did Aaron find? easy career class question. what are the values of x and y Find the equation of the line.Use exact numbers. Please help me ASAP 5. Which word is borrowed from Spanish?A. el zperB. el jalapeoC. el champD. la medicinaLAN:C Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth. One of the reasons that Marie Antoinette was disliked by the French people was that she...a led the movement to change the Estates-Generalb was seen as a foreign snobc was on the side of the middle class 5Which of the following sets of values completes the function table?Input (x)3x-1Output (y2.3(2) - 13313) - 143[4)-1A) 0,1,2B 5, 8, 115, 6, 7D) 6,9,12