Rewrite in simplest terms: -2(5d-9f)+7f-10(-9f-7d)

Answers

Answer 1

Answer:

= 5 ( 12d + 23f )

Step-by-step explanation:

-2(5d-9f)+7f-10(-9f-7d

Open parenthesis

= -10d + 18f + 7f + 90f + 70d

Collect like terms

= -10d + 70d + 18f + 7f + 90f

= 60d + 115f

Factorise

= 5 ( 12d + 23f )

Therefore,

-2(5d-9f)+7f-10(-9f-7d) in its simplest form is 5 ( 12d + 23f )


Related Questions

A una persona le ofrecieron dos trabajos de vendedor. En la empresa A, le ofrecieron al mes un sueldo base de $6 000 más una comisión de $20 por cada pieza vendida. En la empresa B, le ofrecieron el mismo sueldo base más una comisión igual al cuadrado de la cantidad de piezas vendidas. ¿A partir de qué cantidad de piezas vendidas en un mes le pagan más en la empresa B que en la A?A.
15

B.
19

C.
20

D.
21

Answers

Concluimos que a partir de 21 piezas se gana más en la empresa B.

¿Cuanto debe vender para que le paguen más en la empresa B?

Si definimos el número de piezas vendidas como x, la cantidad que le pagan en la empresa A es:

A(x) = $6000 + $20*x

Y lo que le pagan en la empresa B es:

B(x) = $6000 + x^2

Queremos ver para que valor de x, se da que B(x) > A(x).

Entoces resolvamos esa inequación.

6000 + 20*x < 6000 + x^2

20x < x^2

20 < x

x debe ser más grande que 20, entonces concluimos que a partir de 21 piezas se gana más en la empresa B.

Sí quieres aprender más sobre inecuaciones, puedes leer:

https://brainly.com/question/23023694

A two digits number is seven times the sum of its digits . The number formed by reversing the digits is 18 less than the original number. Find the number .​

Answers

Hey there!

10x+y=7(x+y)=7x+7y

or 10x−7x=7y−y

or 3x=6y

or x=2y ........(1)

Number formed by reversing the digits is yx, i.e.,

10y+x=10x+y−18

Substituting x=2y, we get

10y+2y=10×2y+y18

or 2y=21y−18

or 21y−12y=18

or 9y=18

or y=2

∴x=2y=2×2=4

Therefore, the number is 42.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let the two digit number be ' xy '

where, x is the ten's place digit, and y is one's place digit, now let's proceed further ~

The origin number can be written as :

[tex]\qquad \sf  \dashrightarrow \: 10x + y[/tex]

[ because x is at ten's place ]

of the digits are swapped, the new number will be :

[tex]\qquad \sf  \dashrightarrow \: 10y + x[/tex]

According to conditions provided in the question : -

[tex]\qquad \sf  \dashrightarrow \: 10x + y = 7 \times (x + y)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 10x + y = 7x + 7y[/tex]

[tex]\qquad \sf  \dashrightarrow \: 10x - 7x + y - 7y= 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: 3x - 6y = 0 \: \: \: \: \: \: [/tex]

[tex]\qquad \sf  \dashrightarrow \: x - 2y = 0 \: \: \: \: \: \: - (1)[/tex]

here we got our first equation, let's find the other one ~

[tex]\qquad \sf  \dashrightarrow \: (10x + y) - 18= 10y + x[/tex]

[tex]\qquad \sf  \dashrightarrow \: 10x - x + y - 10y = 18[/tex]

[tex]\qquad \sf  \dashrightarrow \: 9x - 9y = 18[/tex]

[tex]\qquad \sf  \dashrightarrow \: x - y = 2 \: \: \: \: \: \: - (2)[/tex]

we got our second equation ~

Now it's time to subtract equation (1) from equation (2) :

[tex]\qquad \sf  \dashrightarrow \:( x - y ) - (x - 2y)= 2 - 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: \cancel{x }- y - \cancel{x} + 2y= 2 - 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: y= 2 [/tex]

hence, value of y is 2, use this value in equation (2) to find x ~

[tex]\qquad \sf  \dashrightarrow \: x - y= 2 [/tex]

[tex]\qquad \sf  \dashrightarrow \: x - 2= 2 [/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 4 [/tex]

Therefore, the required number is xy = 42

(HELP)
Line L has the equation y = -2x - 3.
Line M is perpendicular to Line L and intersects the y-axis at (0,9)
Write Down the equation of Line M in the form y=mx+c

Answers

Answer:

[tex]y=\dfrac12x+9[/tex]

Step-by-step explanation:

The product of the slopes of perpendicular lines is -1

Given the slope of Line L is -2, this means that the slope of Line M will be:

[tex]\dfrac{-1}{-2}=\dfrac12[/tex]

[tex]\sf as \ \dfrac12 \cdot -2 = -1[/tex]

If Line M intersects the y-axis at (0, 9) then its y-intercept is 9.

Slope-intercept of a linear equation: [tex]y = mx + c[/tex]

(where m is the slope and c is the y-intercept)

Therefore, the equation for Line M is:

[tex]y=\dfrac12x+9[/tex]

Mike made four of his truck payments late and was fined four late fees. If each late fee was $10, how much did he pay in late fees?

Answers

Answer:

$40, how I got this is I took $10 * 4 late fees and there is your $40

help? i will give brainliest

Answers

Answer: line is never ending in both directions

ray is never ending in one direction

Step-by-step explanation:

What is the domain of the relation {(8, 4), (10, –3), (12, 0), (18, –1)}? {–3, –1, 0, 4} {4, 8, 10, 12, 18} {8, 10, 12, 18} {–3, –1}

Answers

Answer:

{8, 10, 12, 18}

Step-by-step explanation:

The domain of a given relation are all the x-values or inputs.

Locate the inputs:

{(8, 4), (10, –3), (12, 0), (18, –1)}

The domain in this given relation is {8, 10, 12, 18}.

Hope this helps.

Rats have recently become a nuisance in Norwood. Efforts to control the rat problem have led to the rat population declining by 15% every year. If the town currently has 13,000 rats, how many rats will there be in 3 years?

Answers

The exponential function is given by y = 13000(0.85)ˣ, the amount of rats in 3 years is 7984

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

Let y represent the population of the chicken after x year.

The initial population of 13000 rats, hence a = 13000

The rat population declining by 15% every year. b = 1 - 0.15 = 0.85

The exponential function is given by y = 13000(0.85)ˣ

In 3 years; y = 13000(0.85)³ = 7984

The exponential function is given by y = 13000(0.85)ˣ, the amount of rats in 3 years is 7984

Find out more on exponential function at: https://brainly.com/question/12940982

Question 10 of 10
Which best describes the range of a function?
A. The greatest possible input value
B. The greatest possible output value
C. The set of all possible input values
D. The set of all possible output values

Answers

Step-by-step explanation:

D.the set of all possible output values.

The answer D.The set of all possible output values

8.
Two identical number cubes are shown in the picture. The edge length of these number cubes is 3 centimeters.


What is the combined volume of the two number cubes in cubic centimeters?

Answers

Answer:

I love it when you think I will answer with 0oop

What is the line of reflection for the trapezoids?

Answers

Answer:A1/d1 And A/B

Sorry i dont really know how to do that just a guess

brainliest for correct answer

Answers

the answer to this problem is 63

Answer:

A

Step-by-step explanation:

47+58=105 then you just subtract 7 from 75 and you get 68 than you divide 68 by 2

Please solve this equation

Answers

Answer:

l = √10

Step-by-step explanation:

We're given the value of a as 3 feet and the value of b as 1 feet (because 2/2 = 1). We are to find the value of l using Pythagorean Theorem.

[tex]3^2+1^1=l^2[/tex] [tex]9+1=l^2[/tex] [tex]10=l^2[/tex] [tex]l=\sqrt{10}[/tex]

Therefore, the answer is √10 feet.


Andrea has placed a stamp on 1 of the 4 envelopes shown below.
What fraction of the set of 4 envelopes did Andrea place the stamp?

Answers

Answer:

1/4

Step-by-step explanation:

The one of of four makes the fraction 1/4. Reason: MATH

PS:

PLS MARK ME AS BRAINLEST

HELP 100 POINTS What is the measure of ∠A in the image below?

Answers

Answer:

A.  m∠A = 45°

Step-by-step explanation:

Vertical angle theorem:  opposite angles are congruent

⇒ 3x = x + 30

⇒ 2x = 30

⇒ x = 15

As m∠A = 3x

⇒ m∠A = 3 × 15 = 45°

Opposite angles are equal

[tex]\\ \rm{:}\dashrightarrow 3x=x+30[/tex]

[tex]\\ \rm{:}\dashrightarrow 2x=30[/tex]

[tex]\\ \rm{:}\dashrightarrow x=15[/tex]

So

<A=3(15)=45

Help please I don’t understand

Answers

sixty eight degrees it looks similar

2x + y = 2

-3x + y = 4

Transfer these into y=mx+b

Answers

Step-by-step explanation:

2x + y = 2         subtract 2x from both sides

2x - 2x + y = 2 - 2x

y = -2x + 2

(m = -2, b = 2)

-3x + y = 4        add 3x to both sides

-3x + 3x + y = 4 + 3x

y = 3x + 4

(m = 3, b = 4)

there are 180 flavors of ice cream at an ice cream store. 1/4 of the flavors contain nuts. 1/3 of the flavors contain fruit. 1/6 of the flavors contain chocolate chips. the rest of the flavors contain candy. how many flavors contain candy?

A. 45
B. 135
C. 90
D. 75

Answers

A. is the answer to your question
Converting them all to a common denominator of 12, 3/12 contain nuts, 4/12 contain fruit, and 2/12 contain chocolate chips. Adding all together would make 9/12, meaning 3/12 of the flavors contain candy. Hope this helps! As a number, the answer is 45.

A 12,000 seat arena is divided into 60 equal sections of 200 seats. In order to
estimate the attendance at an event, management takes a sample from one of these
sections. At a recent event, 174 people were counted in this sample section. What
was the estimated attendance at this recent event?

Answers

Answer:

10,440

Step-by-step explanation:

There is 12k seats in total. 60 sections containing 200 seats. In 1 section of 200 they counted 174 people. Therefore you multiply 174 by 60. 174 being the people in 1 section and 60 being the total number of sections.

please help me please

Answers

Answer:

1/5 is the slope.

Answer:

1/5

Step-by-step explanation:

remember this when finding the slope: [tex]\frac{rise}{run}[/tex]

count one block up and five blocks to the right to create a triangle.

so, the slope is 1/5

Please 5 stars if right!

Factor the following quadratic:
[tex]3x^2+7x-6[/tex]

Answers

Step-by-step explanation:

Use the systematic new AC Method to factor trinomials (Socratic Search)

y

=3x2+7x−6

=3(x + p)(x + q)

Converted trinomial:

y'

=x^2+7x−18

= (x + p')(x + q').

p' and q' have opposite signs.

Factor pairs of (ac = -18) --> (-2, 9). This sum is 7 = b. Then p' = -2 and q' = 9. Therefore,

p ='p/a

= -2/3

and

q ='q/a

=9/3

=3.

Factored form: y = 3(x - 2/3)(x + 3) = (3x - 2)(x + 3)

Solve the inequality.

Question 1
3y≤−9
Whats the solution

Answers

Answer:

y ≤ -3

Step-by-step explanation:

3y ≤ -9

y ≤ - 9/3

y ≤ -3

Please mark me the brainliest!?!

Mark Bought a concert ticket for $88 then sold it for $121. By what percent did the price go up.

Answers

Answer:

33.5%

Step-by-step explanation:

First you need to subtract the amount he bought the ticket from the amount he sold it.

$121 ₋ $88

=$33

After that you need to divide the answer you got by the original amount of the ticket multiply it  by 100.

33 ÷ 88 × 100

=37.5%

I hope this helps.

pls mark me as brainliest

Triangle TRW is shown on the coordinate grid. x, y, t, r, w Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation to create triangle T′R′W′. Which ordered pair best represents the location of point R′?

Answers

Dilating the triangle TRW would change the size of the triangle

The ordered pair that best represents the location of point R′ is (nRx,nRy)

How to determine the ordered pair?

The coordinates of the point R would be represented as:

R = (Rx,Ry)

The scale of dilation (k) is given as:

k = n

Given that the center of dilation is the origin, the location of point R' would be:

R' =R * k

So, we have:

R' = (Rx,Ry) * n

Evaluate the product

R' = (nRx,nRy)

Hence, the ordered pair that best represents the location of point R′ is (nRx,nRy)

Read more about dilation at:

https://brainly.com/question/3457976

Answer:  (−3n, −5n)

I did the test

Emma works two jobs. At her day job, she earns $8/hour and works for 3 hours. She works her evening job for 9 hours and earns $14.50/hour. How much does she make on average per hour for the day? Explain the process of finding Emma's average wage per hour.

Answers

Answer: $12.875

Step-by-step explanation:

Emma works two jobs. At her day job, she earns $8/hour and works for 3 hours. Total amount earned will be:

= $8 × 3 = $24

She works her evening job for 9 hours and earns $14.50/hour. Total amount earned will be:

= $14.50 × 9 = $130.5

Total amount earned will now be:

= $24 + $130.5

= $154.5

Since she works a total of: 3 hours + 9 hours = 12 hours per day, the amount made on average per hour will be:

= $154.5/12

= $12.875

2 to the power minus 6 as a fraction

Answers

Answer:

1/64

Step-by-step explanation:

A negative exponent in essence brings your 2^6 value under 1. So your problem would now look like 1/(2^6). From there it is easy simplifying, knowing hat 2^6 = 64. So your answer turns out to be 1/64.

2 to the power minus 6 as a fraction would be equal to 1/64

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A negative exponent in essence brings  2^6 value under 1.

So  1/(2^6).

From there it is easy simplifying, knowing that;

2^6 = 64.

Therefore, the answer turns out to be 1/64.

2 to the power minus 6 as a fraction would be equal to 1/64

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Label the place value of 74.92.

Answers

Answer: 7 tens, 4 ones, 9 tenths, and 2 hundredths.

help asap for brainlist!!!

Answers

Answer:

The system of equations has no solution.

Step-by-step explanation:

set them equal to eachother. 3x+9=3x-4

Subtract 3x from both sides, giving you 9=-4, which is an equation that is not true because 9 does not equal negative 4. Therefore, there is no solution to this system.

Find the area of the triangle:
Height :5a + 7
base :18​

Answers

Answer:

A = 45a + 63 square units

Step-by-step explanation:

Formula of the area of a triangle: [tex]\frac{1}{2}bh[/tex]

Plug in givens:

[tex]\frac{1}{2}(18)(5a+7)\\ \frac{1}{2}(18)(5a+7)\\9(5a+7)\\45a + 63[/tex]

I need help ASAP Pleae!!!

Jesse planned to drive a distance of 732 miles in 4 days. What is the average distance he planned to drive each day?



A between 50 and 100 miles

B between 100 and 150 miles

C between 150 and 200 miles

D between 200 and 250 miles

Answers

Answer:

C. between 150 and 200 miles

Step-by-step explanation:

To find the average, we need to divide 732 by 4 to get 183. Since 183 is between the numbers 150 and 200, C is the answer to the question.

What is 2 to the x power

Answers

Answer:

2^x

Step-by-step explanation:

Since we are needing to show how this is written, x is a power so it will be written small and will go to the upper right corner of the 2 :)

When you see a number like this, we are multiplying 2 by intself x times :)

Hope this helps!

Havea great day!!

Please rate and mark brainliest!!

It’s 2^x which can be used in multiple ways.
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