PROBLEM. 11.1: Rewrite These! Rewrite each quotient as a sum or a difference.
1.(4x-10)/2
2. (1-50x)/-2
3. 5(x + 10)/25
4.(-0.2x + 5)/2​

Answers

Answer 1

Answer:

1. (4x-10)/2

   4x/2 - 10/2

    2x - 5

2. (1-50x)/-2

   1/-2 -50x/-2

   25x - 1/2

3. 5(x + 10)/25

   (5x + 50)/25

   5x/25 + 50/25

   1/5 x + 2

4.(-0.2x + 5)/2​

   -0.2x/2 + 5/2

   -0.1x + 2.5

Answer 2

The re- representation is

1. (4x-10)/2

2. (1-50x)/-2

3. 5(x + 10)/25

4.(-0.2x + 5)/2​

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

1. (4x-10)/2

= 4x/2 - 10/2

= 2x - 5

2. (1-50x)/-2

  1/-2 -50x/-2

  25x - 1/2

3. 5(x + 10)/25

  (5x + 50)/25

  5x/25 + 50/25

  1/5 x + 2

4.(-0.2x + 5)/2​

  -0.2x/2 + 5/2

  -0.1x + 2.5

Learn more about algebra here:

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Related Questions

A middle school took all of its 6th grade students on a field trip to see a symphony at a theater that has 2500 seats. The students filled 66% of the seats in the theater. How many 6th graders went on the trip?​

Answers

Answer:

1650

Step-by-step explanation:

66% = 66/100

66/100 times 2500 = 0.66 times 2500 = 1650

There were 1650 students

1,650 students went
0.66*2500=1650

What are two multiples of 6 between 40 and 50

Answers

Answer:

The two multiples are 42 and 48

6 times 7 is 42

and 6 times 8 is 48

Two multiples of 6 between 40 and 50 is 42 and 48

Pam drivers 14,735 miles in one year. The next year she drivers 13,869 miles. How many miles did she Drive in all?

Answers

Answer:28604 in total

Step-by-step explanation:

just copy and paste hope this helps

Answer:

28604 miles

Step-by-step explanation:

Just add the two numbers to get the total number of miles:

  14735

+ 13869=

  28604

If X equals -5 which number line shows the value of X

Answers

Answer:

There is no picture or graph, if you put a graph or picture ill be able to answer it.

Step-by-step explanation:

A recipe for biscuits says to mix 6 cups of flour with 2 cups of milk. How many cups of flour would you need for 3 cups of milk?​

Answers

Answer:

9 cups of flour

Step-by-step explanation:

6 / 2 = 3

3 • 3 = 9

14 + w is the same as which expression?

Answers

Answer:

w+14,

Step-by-step explanation:

Find the area of the figure shown below. Use 3.14 for π and round your answer to the nearest hundredth.

Answers

Answer:

ans: 111.54

Step-by-step explanation:

u can simple do by multiple

Answer:

38.24

Step-by-step explanation:

Brielle’s piggy bank has all nickels and dimes. The total value of the money in her piggy bank is $7.80. If Brielle
has 66 nickels, write and solve a linear equation to find the number of dimes she has.

Answers

66n + d = 7.80 let n represent nickels and d represent dimes. Since you know nickels is 5 cents n would equal .05 so you would do 66(.05) and you get 3.3. Then subtract 3.3 from 7.8 and d equals 4.5.

.............llllllllllllllllwwwwwwww

Answers

Answer:

wwwwwwwwwwwwwwwwwww

Give the factors for the numerator [n] and denominator [d] after reducing.

Answers

Answer:

The factors for the numerator [n] and denominator [d] after reducing will be:

[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{x^2-25}{x^2-4x}\div \frac{2x^2+2x-40}{x^3-x}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

[tex]=\frac{x^2-25}{x^2-4x}\times \frac{x^3-x}{2x^2+2x-40}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]

[tex]=\frac{\left(x^2-25\right)\left(x^3-x\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]

[tex]=\frac{\left(x^2-25\right)x\left(x^2-1\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x[/tex]

[tex]=\frac{\left(x^2-25\right)\left(x^2-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]

∵ As factor  [tex]\left(x^2-25\right)\left(x^2-1\right)=\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)[/tex]

so the expression becomes

[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]

∵ As factor [tex]2\left(x-4\right)\left(x^2+x-20\right)=2\left(x-4\right)^2\left(x+5\right)[/tex]

so the expression becomes

[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2\left(x+5\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:x+5[/tex]

[tex]=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]

Therefore, the factors for the numerator [n] and denominator [d] after reducing will be:

[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]



Ben is planning to sell cookies and popcorn for a school bake sale. He is selling cookies, c, for $0.75 each and popcorn, p, for $1.00 per

bag. Interpret the expression 0.75c+p

Answers

The expression 0.75c + p represents the cost for the consumer for purchasing c cookies and p popcorn.

The coefficient 0.75 represents the cost of 75 cents per cookie and the coefficient of 1 before p represents the cost of $1.00 per bag of popcorn.

Which of these is equivalent to 3/8 x 5/6 Answer Correctly Or Dont Answer
A. 15/4
B. 16/5
C. 8/14
D. 8/48

Answers

A is the correct answer

Graph the line with the equation y=-1/4x+1

Answers

On the y axis plot a point at 1. Then go down 1 and to the right 4. Hope that helps

a=4, b = 5, A = 16
Solve the Triangle

Answers

Triangle has two solutions: a=4; b=5; c=1.051 and a=4; b=5; c=8.561.

Extra: #1 Obtuse scalene triangle.

Sides: a = 4   b = 5   c = 1.051

Area: T = 0.724

Perimeter: p = 10.051

Semiperimeter: s = 5.026

Angle ∠ A = α = 16° = 0.279 rad

Angle ∠ B = β = 159.846° = 159°50'45″ = 2.79 rad

Angle ∠ C = γ = 4.154° = 4°9'15″ = 0.073 rad

Height: ha = 0.362

Height: hb = 0.29

Height: hc = 1.378

Median: ma = 3.009

Median: mb = 1.517

Median: mc = 4.497

Inradius: r = 0.144

Circumradius: R = 7.256

Vertex coordinates: A[1.051; 0] B[0; 0] C[-3.755; 1.378]

Centroid: CG[-0.901; 0.459]

Coordinates of the circumscribed circle: U[0.526; 7.237]

Coordinates of the inscribed circle: I[0.026; 0.144]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 164° = 0.279 rad

∠ B' = β' = 20.154° = 20°9'15″ = 2.79 rad

∠ C' = γ' = 175.846° = 175°50'45″ = 0.073 rad

Point R is the midpoint of KL. If KR = 7x - 10 and RL = 3x + 34, find KL.

Answers

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R is the midpoint of KL ;

Thus R bisects KL , which means :

[tex]KR = RL[/tex]

So :

[tex]7x - 10 = 3x + 34[/tex]

Add sides 10

[tex]7x - 10 + 10 = 3x + 34 + 10 \\ [/tex]

[tex]7x = 3x + 44[/tex]

Subtract sides 3x

[tex] - 3x + 7x = - 3x + 3x + 44[/tex]

[tex]4x = 44[/tex]

Divide sides by 4

[tex] \frac{4x}{4} = \frac{44}{4} \\ [/tex]

[tex]x = 11[/tex]

_________________________________

[tex]KL = KR + RL[/tex]

[tex]KL = (7x - 10) + (3x + 34)[/tex]

[tex]KL = (7 \times 11 - 10) + (3 \times 11 + 34) \\ [/tex]

[tex]KL = (77 - 10) + (33 + 34)[/tex]

[tex]KL = (67) + (67)[/tex]

[tex]KL = 60 + 7 + 60 + 7[/tex]

[tex]KL = 60 + 60 + 7 + 7[/tex]

[tex]KL = 120 + 14[/tex]

[tex]KL = 134[/tex]

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The city bus provides transportation within a 4 mile radius of your house. How much of the city does your bus route cover?

Answers

Oh ok fine I just want to make sure you know that I don’t want you to the route cover 4/5

In science class the ratio to girls to boys is 3 to 7.
If their are 50 students in the class, how many boys are there?

Answers

Answer:

15 boys

Step-by-step explanation:

7+3=10

10x5=50

there are 3 boys so

3x5=15

Answer:

35

Step-by-step explanation:

Assume 3x is the number of boys in the class.

And 7x as for the girls.

3x+7x=50

10x=50

x=5

Thus, 7*5=35 boys in the science class

Hope this is helpful!

Write the slope-intercept from of the equation of the line described. Through (-2, -1) perpendicular to y = 1/4x

Answers

Step-by-step explanation:

Slope Intercept Form is "y = mx + b"

What it means?

"m" - slope

"b" - y intercept (0,b)

So, we are given the slope, but not the y intercept..

For now, lets fill in the slope.

y = 1/4x +  b

We are given a coordinate pair (-2,-1)

Fill it into the equation and solve for b.

-1 = 0.25(-2) + b

-1 = -0.50 + b

- 0.50 = b

We now have the value of "B"

Fill in the rest of the equation:

y = 1/4x + -.50

^ I think that is correct, sorry if it's wrong.

A total of $5000 is invested: part at 5% and the remainder at 15%. How much is invested at each rate if the annual interest is $720?

Answers

Answer:

At 5% , $300 was invested

At 15%, $4,700 was invested

Step-by-step explanation:

Let the amount invested at 5% be $x and the amount invested at 15% be $y

x + y = 5000 ••••••(i)

Let’s work with the interest;

5% of x + 15% of y = 720

0.05x + 0.15y = 720 •••••(ii)

From i;

x = 5000-y

Insert this into ii

0.05(5000-y) + 0.15y = 720

= 250 - 0.05y + 0.15y = 720

250 + 0.1y = 720

0.1y = 720-250

0.1y = 470

y = 470/0.1

y = $4700

x = 5000-y

x = 5000-4700 = $300

Write the slope-intercept form of the equation of the line described. Through (-2, -2) parallel to y = -2/7x -5

Answers

Answer: y= -2/7x-2

Step-by-step explanation:

To be parrell they have to have the same slope but different y intercepts.

so just put -2 so it will cross that point

Which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equal measure? The base angles of an equilateral triangle have equal measure. If two sides of a triangle are equal, the third side must be equal to the others. If a triangle is equiangular, then it is equilateral. If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

Answers

Answer:

If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

The fact which helps to prove the isosceles theorem is; The base angles of an equilateral triangle have equal measure.

Isoscelles triangle

Isoscelles triangles in plane shape concept are characterized by two equal sides.

On this note, similarly in equilateral triangles, 2 sides are equal ( although, all sides of an equilateral triangle are equal).

Ultimately, the statement which helps to prove the isosceles triangle theorem is therefore; The base angles of an equilateral triangle have equal measure since all the two sides are equal as in isoscelles triangles too.

Read more on isoscelles triangle;

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A large bottle of orange juice contains 400 mL of juice. A medium size bottle contains 60% as much. Find how many millilters are in the medium bottle using the double number line.

Answers

Answer:

240 mL

Step-by-step explanation:

60% of 400 is 240 mL! Your Welcome!

Answer:

the answer would be 240

Step-by-step explanation:

you have to take the percentage and turn it into a decimal by dividing by 100 and that gets you .6 and then you have to time 400 by .6 and then you get your answer

arrangement the following in ascending order ; -5/7, -3/14, 4/7, -6/7​

Answers

Answer:

-4/7-5/7-6/7-3/14 ascending order

Answer:

The sorted inputs in order from least to greatest is:

-6/7 < -5/7 < -3/14 < 4/7

Step-by-step explanation:

Given

-5/7, -3/14, 4/7, -6/7​

The least common denominator (LCD) is: 14

Rewriting as equivalent fractions with the LCD:

-5/7            -3/14            4/7          -6/7

-10/14          -3/14           8/14          -12/14

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

-6/7                -5/7              -3/14              4/7

-12/14     <      -10/14     <      -3/14        <   8/14

Therefore, the sorted inputs in order from least to greatest is:

-6/7 < -5/7 < -3/14 < 4/7

complete the statements,extra points!!! please don't answer if you don't know ​

Answers

Answer:

1. 0.08703 killograms

2. Decameters

3. Liters

Step-by-step explanation:

convert.

Find the measure of the missing angle.
77°

Answers

Answer: The missing angle is 13°

Step-by-step explanation:

Let ∠B

be the missing angle.

Let ∠A

be the angle that measures

77∘Let ∠C

the right angle that measures

90∘

The following is true of all triangles:

∠A+∠B+∠C=180∘

Express the above equation as

∠B

in terms of the other angles:

∠B=180∘−∠A−∠C

Substitute the values for ∠A and ∠C

∠B=180∘−77∘−90∘

∠B=13∘

1. Eight people work in an office. They are paid hourly rates of 12£,15£,15£,14£,14£,13£,14£,13£

(a) Find: (i) the mean (ii) the median (iii) the mode.

Answers

12,13,13,14,14,14,15,15
mean: 13,75
median: 14
mode: 14
hope it helps! :)

johnny invests $9000 in two mutual funds

Answers

Answer:

$4500 each if he splits it eqaully

Step-by-step explanation:

9000÷2=4500

hope this helped (~‾▿‾)~

Can you help me please as soon as possible :)

Answers

Answer:

what r u finding the surface area or what?

Step-by-step explanation:

Answer:

1.) 36m        2.) 275cm

3.) 52m       4.)

Step-by-step explanation:

1.) First, I would multiply the triangles. The area for triangles is A=BxH/2.

So you would do 4mx3m=12m

12m/2= 6m but you're not done, you still have the rectangle. The area is A=LXW for the rectangle. So you would do 5m x 6m=30m. Finally, add.      30m + 6m= 36m

2.) Same thing as number one, but different numbers.

Triangle: 8cm x 10cm= 80cm

80cm/2= 40cm

Rectangle: 13cm x 15cm= 195cm

80cm + 195cm= 275cm

3.) Same as the last two except for it looks different and different numbers.

ignore the 5 to the left of the triangle.

3m x 8m= 24m

24m/2= 12m

5m x 9m= 40m

40m+12m= 52m

4.) I want you to try it first, then if not come back and ask. Hope it helps.

change the fraction 2/5 to a percent

A. 25%
B. 40%
C. 7%
D. none none of these choices are correct​

Answers

2/5 make denominator 100
2/5 = 40/100 = 40%

Answer: B

Step-by-step explanation:

If a farmer is able to get 120 eggs from 20 chickens, how many eggs is the farmer able to get per chicken?

Answers

Answer:

6 eggs per chicken

Step-by-step explanation:

hdjdjidbdudbddjow0s

Answer:

6

Step-by-step explanation:

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