1/2r + 2 (3/4r - 1) = 1/4r + 6

Answers

Answer 1

Answer:

r=32/7

Step-by-step explanation:

Answer 2

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.

1/2r + 2 (3/4r - 1) = 1/4r + 6

Step 1: Simplify both sides of the equation.

1/2r + 2 (3/4r - 1) = 1/4r + 6

1/2r+(2)(3/4r)+(2)(-1)=1/4r+6(Distribute)

1/2r+3/2r+-2=1/4r+6

(1/2r+3/2r)+(-2)=1/4r+6(Combine Like Terms)

2r+-2=1/4r+6

2r-2=1/4r+6

Step 2: Subtract 1/4r from both sides.

2r-2-1/4r=14r+6-14r

7/4r-2=6

Step 3: Add 2 to both sides.

7/4r-2+2=6+2

7/4r=8

Step 4: Multiply both sides by 4/7.

(4/7)*(7/4r)=(4/7)*(8)

r=32/7

Answer: r=32/7

hope this helps :)


Related Questions

Jacob spent $10 of the $25 in his wallet write a decimal that represents the fraction of the $25 Jacob

Answers

Answer:

0.4, incase you want it, it also is 40% and [tex]\frac{2}{5}\\[/tex].

Step-by-step explanation:

10/25 =0.4

Hope this helped :D

A triangle has sides with lengths of 7 millimeters, 8 millimeters, and 10 millimeters. Is it a
right triangle?

Answers

Answer:

Depends if you are averaging C or not.

Step-by-step explanation:

Use the pythagorean theorem to solve this.

c = √a^2 + b^2

A and B should be two of your sides and C should equal your third side. If C is incorrect, it is not a right triangle. I plugged in 7 for A and 8 for B. The answer was about 10.63. If you are supposed to round C then yes, it is a right triangle. If you aren't supposed to round C (probably not) then no, It isn't a right triangle.

What is the measure of Z?

Answers

You will need to explain what z is or put the image of the question so we can help you

what's the question ???

how would a one-fifth in numbers be?​

Answers

It’s in many different forms:20 or .20 or 20%

4(2x-3)=52
Solve please sends fast

Answers

Answer:

[tex]\boxed {x = 8}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]4(2x - 3) = 52[/tex]

-Divide both sides by [tex]4[/tex]:

[tex]2x - 3 = \frac{54}{4}[/tex]

[tex]2x - 3 = 13[/tex]

-Add both sides by [tex]3[/tex]:

[tex]2x - 3 + 3 = 13 + 3[/tex]

[tex]2x = 16[/tex]

-Then, divide both sides by [tex]2[/tex]:

[tex]\frac{2x}{2} = \frac{16}{2}[/tex]

[tex]\boxed {x = 8}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]8[/tex].

What is the equation of this line?
Y= 2x - 3
y=-x-3y = -2x - 3
y = x - 3

Answers

Answer: y=2x-3

Step-by-step explanation:

It will cross the y axis at -3 and the x axis at 3/2

Factor 125q^6 − r^6s^3.

Answers

Answer:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)

Step-by-step explanation:

Factor the following:

125 q^6 - r^6 s^3

Hint: | Express 125 q^6 - r^6 s^3 as a difference of cubes.

125 q^6 - r^6 s^3 = (5 q^2)^3 - (r^2 s)^3:

(5 q^2)^3 - (r^2 s)^3

Hint: | Factor the difference of two cubes.

Factor the difference of two cubes. (5 q^2)^3 - (r^2 s)^3 = (5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2):

(5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Distribute exponents over products in (5 q^2)^2.

Multiply each exponent in 5 q^2 by 2:

(5 q^2 - r^2 s) (5^2 q^(2×2) + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Multiply 2 and 2 together.

2×2 = 4:

(5 q^2 - r^2 s) (5^2 q^4 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Evaluate 5^2.

5^2 = 25:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Distribute exponents over products in (r^2 s)^2.

Multiply each exponent in r^2 s by 2:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^(2×2) s^2)

Hint: | Multiply 2 and 2 together.

2×2 = 4:

Answer: (5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)

5. Do this without using a calculator

Calculate 39 × 63 + 39 × 37

A. 3,510. B. 3,900. C. 4,290. D. 97,812

Answers

Answer:

3900

Step-by-step explanation:

Not really sure how to explain this one.

Point Q' is the image of (-5,1) under a translation by 6 units to the right and 2 units down

Answers

Answer:

The object coordinate Q is (-11,3 )

Step-by-step explanation:

The translation is given as : ( 6,-2 )

The image coordinates for Q' is ( -5,1 )

So, to get the coordinates of object point Q (x,y), will be;

 Q (x,y)  + ( 6,-2 )---translation --------------⇒image Q' ( -5,1 )

Thus,

x+6 = -5

x= -5-6= -11

and

y+ -2 = 1

y-2=1

y=1+2 =3

Thus the object point coordinates Q is (-11,3 )

15 points!!!
4x^2 -20x +25≥0​

Answers

Answer:

x ≥ [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Given equation:

     4x² -20x + 25≥0​

To solve for x, we simply factorize the equation;

We should find two numbers whose sum = -20 and product is 100

  These two numbers are -10 and -10

So;

    4x² - 10x - 10x + 25 ≥ 0​

   factorize;

    2x(2x - 5) - 5(2x - 5) ≥ 0​

   (2x - 5) (2x - 5) ≥ 0​

    So;

        2x - 5 ≥ 0​

         2x ≥ 5

            x ≥ [tex]\frac{5}{2}[/tex]

Write the equation of the line that passes through the point (3,5) and is perpendicular to the line y=3.
x=3
y=5
x=2
y=3

Answers

Answer:

x = 3

Step-by-step explanation:

y = 3 is the equation of a horizontal line parallel to the x- axis.

A line perpendicular to it must therefore be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (3, 5) with x- coordinate 3 , thus

x = 3 ← equation of perpendicular line

Help!! !!!!! What’s the answer?

Answers

Answer:

1296m^2

Step-by-step explanation:

12m = 1cm per square

3 squares • 3 squares = 36 • 36 = 1296

Hope this helps! :)

help pls . .. a a z z z z . zz

Answers

Answer:

the lines are perpendicular

I believe it’s Perpendicular
So sorry if it’s wrong

△PQR is rotated 180° about the origin. What is the coordinate for Q' ?



(3, 2)


(2, -3)


(-3, 2)


(-2, 3)

Part: 2

△PQR is reflected across the y-axis. What is the coordinate for R' ?



(-3, -4)


(-4, 3)


(4, -3)


(3, 4)

Answers

Answer:

Part 1:

Q’ = (2, -3)

Part 2:

R’ = (-3, -4)

Hope this helps!

Sarah is having a party with 30 people. She has 212 large pizzas at the party. She gives equal amounts of pizza to each person. What fraction of pizza does each person get?

Answers

Answer: Everyone would get about 7 pizzas

Step-by-step explanation:

I did 212 divided by 30 which is 7.06666666667 which is closest to 7 then 8 so the answer would be 7. I know this is about right because 7 times 30 is 210 which is closest to 212 then 8*30 which is 240.

According to.the order of operation, which of the following operations should be completed first in the following expression 2(5-3)^3+6^2

Answers

Answer:

Step-by-step explanation:

PEDMAS

P - Parenthesis

E - Exponents

D - Division

M - Multiplication

A - Addition

So, 2(5-3)^3+6^2  

5 - 3 should be completed first as it is inside parenthesis

2(5-3)^3+6^2 = 2 *2^3 + 6^2

                     = 2 * 8 + 36            {exponents}

                     = 16 + 36              {Multiplication}

                    = 52

The cost y (in dollars) for x yards of fabric is represented by y=4x. Graph the equation.

Answers

Answer:

(0,0) (1,4) See the explanation below for the graph.

Step-by-step explanation:

f (0) = 4 x 0 = 0

f (1) = 4 x 1  =  4

(0,0) (1,4) * Remember X1 and Y1, X2 and Y2.

helpp ill mark u as brainlist​

Answers

Answer:

Proportional graph

Step-by-step explanation:

It is proportional because as the x increases, the y also increases. It maintains the same rate of change.

Answer:

non pro becuase it dont pass the origin

Step-by-step explanation:

Write an equation in slope-intercept form if the y-intercept is (0, -4) and the slope is 6?

Answers

Answer:

y=6x-4

Step-by-step explanation:

for the y=mx+b format your m is the slope which is 6 and the b is the y intercept which is the 4

Solve the simultaneous equations.
You must show all your working.
2x+1/2y =13 ---its 1 devided by 2
3x +2y = 17​

Answers

Answer:

I hope it solve the problem

Chris is cutting a roll of cookie dough into pieces that are 1/2 inch thick. If the roll is

10 1/2 inches long, how many pieces can he make?

Answers

Answer:

5.25

Step-by-step explanation:

help solve 90 please​

Answers

Answer:

c=263

Step-by-step explanation:

ARF HELP PLS RN jdsodjksldkdks

Answers

60, because 30+90 is 120 and 180-120 is 60 and since that angel is the same as x, x=60

write an expression for a number that is 5 times greater than 2

For pre-algebra class

Please help thanks i need it thanks a lot for helping me thank you alot

Answers

Answer:

x = 5x > 2

or just 5x > 2 ya its that

Step-by-step explanation:

Sales tax is calculated as a percentage of the sales price. If sales tax is 7%, what is the sales tax on clothing that costs $150?

Answers

Answer:

$160.50

Step-by-step explanation:

You multiply $150 by .15 to find out what 15% of it  (10.50)

You add the values to get $160.50

10.5 is  the sales tax on clothing that costs $150

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that Sales tax is calculated as a percentage of the sales price.

sales tax is 7%

We need to find the the sales tax on clothing that costs $150

Convert 7% to the decimal value by dividing with 100.

7/100=0.07

Now multiply 0.07 with 150

0.07×150

Zero point zero seven times of one hundred and fifty.

10.5

Hence, 10.5 is  the sales tax on clothing that costs $150

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

On Monday at 1 p.M., when the ocean's surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet above the ocean's surface. At 7 p.M. When the ocean's surface was at an elevation of -2.4 feet, Winston ate dinner at a restaurant whose deck was 10 feet above the ocean's surface.What was the distance between the deck and the ocean's surface at 1 p.M.?

Answers

Answer:

5.4 feet

Step-by-step explanation:

Let the reference line [tex]A_0B_0[/tex] represents the sea level without any elevation.

At 1 P.M. the ocean surface was at an elevation of 2.2 feet along the line [tex]A_1B_1[/tex] in the figure and the surf shop was  8.2 feet above of this elevated ocean's surface along the line [tex]A_2B_2[/tex] in the figure.

Similarly, at 7 P.M. the ocean surface was at an elevation of -2.4 feet along the line [tex]A_3B_3[/tex] in the figure and the deck in the restaurant was  8.2 feet above of this elevated ocean's surface along the line [tex]A_4B_4[/tex] in the figure.

From the figure, the distance between the deck and the ocean's surface at 1 P.M.= The distance between the lines [tex]A_1B_1[/tex] and [tex]A_4B_4[/tex].

[tex]d= 10- (d_1+d_2)[/tex]

[tex]=10-(2.2+2.4)[/tex]

=5.4 feet

Hence, the distance between the deck and the ocean's surface at 1 P.M. is 5.4 feet.

The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.

This is a problem of relative and absolute distances. First, we determine the absolute elevation of the surf shop at 1 P.M.:

[tex]x_{1} = 8.2\,ft + 2.2\,ft[/tex]

[tex]x_{1} = 10.4\,ft[/tex]

Now we determine the absolute elevation of the deck at 7 P.M.:

[tex]x_{2} = 10\,ft - 2.4\,ft[/tex]

[tex]x_{2} = 7.6\,ft[/tex]

Lastly, we calculate the elevation of the deck relative to the ocean surface at 1 P.M.:

[tex]x' = 7.6\,ft - 2.2\,ft[/tex]

[tex]x' = 5.4\,ft[/tex]

The distance between the deck and the ocean surface at 1 P.M. is 5.4 feet.

To learn more on distances, we kindly invite to check this verified question: https://brainly.com/question/989117

Mrs. Sing invest $12,876 for her business at an annual interest rate of 7 percent for 3 years. Which number will mrs. sing substitute for r in the simple interest formula?

Answers

Answer:

The number that she will substitute is 7

Step-by-step explanation:

Mathematically, simple interest can be calculated using the formula ;

S.I = PRT/100

where P is the principal which is the amount invested = $12,876

T is the time which is 3 years

and R is the rate which is 7%

Answer:

Answer:

The number that she will substitute is 7

Step-by-step explanation:

i just took he test

A playgroup class has 80 students, and 20 teachers.
Ratio: 80:20
SIMPLIFY THIS RATION DOWN>

Answers

Answer: 4:1

Step-by-step explanation:

Divide by two to get in simplest form.

80 ÷ 2 = 40

20 ÷ 2 = 10

Make a ration with 40 and 10.

40:10

Make 40:10 simpler by dividing by 10.

40 ÷ 10 = 4

10 ÷ 10 = 1

Make 4 and 1 into a ration.

4:1

Answer:

4 : 1

Step-by-step explanation:

Given the ratio

80 : 20 ← divide both parts by 20

= 4 : 1 ← in simplest form

z=b+ma, for a PLS ASAP

Answers

Answer:

a= b+m/2

Step-by-step explanation:

solve for x: 1/2(x-10)=3/4(x+20)

Answers

Answer:

x = -80

Step-by-step explanation:

[tex]\frac{1}{2}(x-10)=\frac{3}{4}(x+20)\\\\\\\frac{1}{2}x-\frac{1}{2}*10=\frac{3}{4}x+\frac{3}{4}*20\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+3*5\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+15\\\\\\\frac{1}{2}x-5-15=\frac{3}{4}x\\\\\\\frac{1}{2}x-20=\frac{3}{4}x\\\\\\-20=\frac{3}{4}x-\frac{1}{2}x\\\\\\-20=\frac{3}{4}x-\frac{1*2}{2*2}x\\\\\\-20=\frac{3}{4}x-\frac{2}{4}x\\\\\\-20=\frac{1}{4}x\\\\\\-20*4=x\\\\\\x = -80[/tex]

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