In 8-11, Explain how to get the variable alone in each equation

8. 8y = 5.6

9. x ➗ 15.2 = 3

10. u ➗ 8.7 = 12

11. 31.4 = 3.14y

Answers

Answer 1

Step-by-step explanation:

8. You divide each side by 8

[tex] \frac{8y}{8} = \frac{5.6}{8} [/tex][tex]y = \frac{5.6}{8} [/tex]

9. You multiply each side by 15.2

[tex]x = 3 \times 15.2[/tex]X=45.6

10. You multiply bith sides by 8. 7

[tex]u= 12 \times 8.7[/tex]

11. You divide both sides by 3.14

[tex]3.14y = 31.4 \\ y = \frac{31.4}{3.14} \\ y = 10[/tex]

Hope this helps, have a wonderful day


Related Questions

Two years ago, Jose bought $750 worth of stock in a cell phone company. Since then the value of his stock has been DECREASING at an average rate of 5 1/4 % per year. How much is the stock worth now?

Answers

Answer:

$671.25

Step-by-step explanation:

To get the amount by which the stock have reduced after 2 years, we will use the interest formula;

Interest = Principal * rate * time/100

Interest = 750*5 1/4 * 2/100

Interest = 750*21*2/400

Interest = $78.75

This means that the value of the stock has reduced by $78.75 after 2 years;

Amount that the stock worth now = $750 - $78.75

Amount that the stock worth now = $671.25

find 3 consecutive numbers with the product 10626

Answers

Answer:

The three numbers will therefore be close to 21.98. So, I'd say they'd be

21,22,23 whose product is 10626

Step-by-step explanation:

− 50 ≤ 7 + 6 ≤ −8 (i need this quick)

Answers

Answer:

−50≤7+6≤−8

=0

Find the surface area of this cylinder using pie.

Answers

Answer:

Thus, the surface area of a cylinder involving pie is:

[tex]\:\:\:A=36\pi \:[/tex] in²

or

[tex]A\approx 113.1[/tex] in²

Step-by-step explanation:

Given

radius = r = 2 in height = h = 7 in

Using the formula to determine the surface area of a cylinder:

[tex]A=2\pi \:rh+2\pi \:r^2[/tex]

[tex]A=\left(2\times \pi \times \:2\times 7\right)+\left(2\times \pi \times \:2^2\right)\:[/tex]

[tex]\:\:\:A=36\pi \:[/tex] in²

Thus, the surface area of a cylinder involving pie is:

[tex]\:\:\:A=36\pi \:[/tex] in²

or

[tex]A\approx 113.1[/tex] in²

A gift basket has 2 soaps and 5 lotions and costs $20. A second basket has 6 spas and 15 lotions and cost $60. Is it possible to determine the price of the soap?

Answers

A second basket has 6 spas--- I think you mean 6 soaps , so i will work with that

Answer:it is not possible to determine the price of the soap with the information given.

Step-by-step explanation:

Let s0ap be represented as x

and lotion be represented as y

2 soaps and 5 lotions costing  $20 gives us equation 1 as

2 x+ 5y= 20-------- equation 1

second basket with 6 soaps and 15 lotions and costing $60 gives us equation 2 as

6x + 15y= 60------equation 2

Step 2 -- Solving

2 x+ 5y= 20-------- equation 1

6x + 15y= 60--------equation 2

BY elimination method, we  multiply equation 1 by (3)

2x + 5y= 20  x (3)

6x + 15y=60-------equation 3

Subtraction of equation 3 from equation 2 gives us

6x + 15y=60-------equation 3

-6x + 15y= 60--------equation 2

0x +0y=0  which is no solution

Therefore it is not possible to determine the price of the soap

A company rents out 15 food booths at the country fair. The fr for a food booth is $200 plus $8 per day. The fee for a game booth is $65 plus $7 per day. The fair lasts d days and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars that the company is paid.

Answers

Complete question :

A company rents out 15 food booths and 20 game booth at the country fair. The fr for a food booth is $200 plus $8 per day. The fee for a game booth is $65 plus $7 per day. The fair lasts d days and all the booths are rented for the entire time. Enter a simplified expression for the amount in dollars that the company is paid.

Answer:

4300 + 260d

Step-by-step explanation:

Given that :

Earning from Food booth cost :

Number of booth * cost

15(200 + 8d)

3000 + 120d

Earning from Game booth :

Number of booths * cost

20(65 + 7d)

1300 + 140d

Total sum :

Total earning from game booth and food booth

3000 + 120d + 1300 + 140d

3000 + 1300 + 120d + 140d

4300 + 260d

A scientist finds that an intial bacteria count was 24 million and 4 hours later, the count was up to 99
million. Write an exponential equation of the form y = abt for this scenario. Round b to four decimal
places.
y =

Answers

Answer:

y=ce^kt

..not quite sure but i tried and this was my answer..

Convert 384,000 to round to the nearest tenth?

Answers

Answer:

124.6

Step-by-step explanation:

The Vanderbloom family already traveled 200 miles on their vacation. The total distance that they will travel (d) is a function of their rate of travel (r) and their upcoming travel time (t). This is represented with the equation given below.

Answers

Answer:  t=r/d-200

Step-by-step explanation:

d-200=r/t+200-200

t*(d-200)=r/t*t

t(d-200)/(d-200)=r/d-200

t=r/d-200

What is the volume of a rectangular prism that is 8 inches long, 2 inches wide, and 4 inches high?

Answers

Answer:

64 in³

Step-by-step explanation:

8 x 4 = 32, 32 x 2 = 64 :D

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

PLEASE HELP FAST BOTTOM ONE!!! I WILL GVIE EXTRA POINTS AND BRAINLIST!

Answers

Answer:

40

Step-by-step explanation:

A kilometre is 1000 metres.  1000 / 25 = 40.  So forty basketball courts would be approximately 1 km if lined up end to end.

The answer is 40 because 1 kilometer divided by 25 meters would be 40 and each court is 25 meters so that is 40 courts in 1 kilometer.

Which is the quotient of 1.54 : 0.44?
O A. 0.35
O B. 0.36
O C. 3.5
O
D. 3.6
Help me get to a C in this class please I’m flustered

Answers

Answer:

C. 3.5

Step-by-step explanation:

Math

Way

C. 3.5 is 100% the answer i wish the best that you can get up to an A and theres a bunch of apps that can help if you search the subject

Someone please help!!

Answers

T = how tall
W = how wide.
T = W + 25 is the first equation
5
×
{
2
(
T
+
10
)
}
+
5
×
(
2
×
W
)
=
1350
This equation is the total height adding 5 for the top border and 5 for the bottom border. Then multiplying the total height by the width of the border 5, time 2 because there are two sides that are tall Then adding 5 times two widths.
Now substitute the value of W + 25 for T this gives
# 5 xx (2 xx W + 25 +10)+ 5 xx 2W = 1350 solving for W
5
×
(
2
W
+
50
+
20
)
+
10
W
=
1350
10
W
+
5
(
70
)
+
10
W
=
1350
20
W
+
350
=
1350
20
W
+
350

350
=
1350

350
20
W
=
1000
W = 50
T = 50 + 25
T = 75

Which one should I choose

Answers

Answer: 9

Step-by-step explanation:

Since x=2 that means there should be 2 3s being multiplied since it’s 3 to the second power. So 3x3 which equals 9. If this answer helped please mark it brainliest!

Answer:

the last option, 9

Step-by-step explanation:

if x=2 then you would just plug x into the equation to get:

y=3^2 or 3 squared and that's just:

3x3 which is

9

So your answer would be 9

I hope this helps! blessings, have a lovely day/night, xo, nm :) <3

8. Write the equation of the line in standard form with integer coefficients.
y= 3/2 x - 1/2

Answers

Answer:

y= 1 1/2x-1/2

Step-by-step explanation:

Define the term rational number and give at least one example.

Answers

Answer:

A rational number is a number that can be expressed as a fraction where both the numerator and the denominator in the fraction are integers. The denominator in a rational number cannot be zero. Expressed as an equation, a rational number is a number. a/b, b≠0. where a and b are both integer

Step-by-step explanation:

All rational numbers are algebraic. ...

The quadratic surds (irrational roots of a quadratic polynomial ax2 + bx + c with integer coefficients a, b, and c) are algebraic numbers. ...

The constructible numbers are those numbers that can be constructed from a given unit length using straightedge and compass. ...

Answer:

A rational number can be divided by two integers

1.5~Is a rational number because it = 3/2~

~3 and 2 are both integers~

In the sixth grade 3/7 of the students are boys and 5/8 of these boys are in Miss Jones class what fraction of the entire six grade class are the boys in Miss Jones class

Answers

Answer:

Think of the entire population of 6th graders here. 3/7 are boys and 4/7 are girls. 5/8 of these boys are in Ms. Jones' class; that fraction would be (5/8)(3/7), or 15/56. This 15/56 represents the fraction of the entire sixth grade class who are in Ms. Jones' class.

A local sawmill sells a total of 250,000 board feet of hardwood each year. The ratio of softwood sold to hardwood sold is 5: 3. Write and solve a ratio to find the amount of softwood sold each year. Round your answer to the nearest thousand.

Answers

Answer:

look i need help on the smae thing so sorry

Step-by-step explanation:

Find the area use 3.14 for pie. Round your awnser to the nearest tenth. (19mm its in half a circle)

A.)283.4
B.)551
C.)2,205.1
D.)141.7

Answers

Answer:

A) 283.4

Step-by-step explanation: If the diameter is 19 then the radius is 9.5 squared times pi. (please correct me if i am wrong)

You missed 1 4questions on your math test and 3 out of 10 on your history test. In which class did you earn a higher percentage on your quiz?

Answers

Answer:

You got a higher score on your math test.

Step-by-step explanation:

100/10= 10 so 3/10 turns into 30/100 so if you got three wrong that’s 30 points off so you scored a 70%. While on the other test, 100/4=25 so each question is worth 25 points if you miss one you get a 75%. Making that higher score.

A new product yrtjk6m4es7uyjujgmu

Answers

Answer:

what?

Step-by-step explanation:

is this an actual thing or are you just messing around?

15 PONITS PLS HELP ME

Answers

Answer:

a=4 b=5

Step-by-step explanation:

Answer:

a=4 b=5

Step-by-step explanation:

Give an example of an equation that has no solution equation and explain why it is a no solution equation.

Answers

Answer:

x = x + 7

Step-by-step explanation:

In this equation, it is saying that x is equal to itself plus something else (7). This equation does not make sense at all because x cannot equal to something that is bigger or smaller than itself. If 7 is added to x, like the right-hand side of the equation, it cannot be equal to x from the left-hand side of the equation, so there is no solution to the value of x in this equation.

A dozen oranges cost $2.00. How many oranges can be bought for $10.00

Answers

Answer:

14 oranges

Step-by-step explanation:

60 oranges
Hope it helps :D
Reason why because dozen=12 and 12x5=60

please solve for the correct answer. thank you! :)

Answers

Answer:

           The first:    y = -25x + 180

Step-by-step explanation:

In every equation b = 170, so

The equation is  y =mx + 170

On the line on the graph, for x=2 we have y = 120,so:

 120 = m×2 + 170

 -50 = 2m

   m = 25

Therefore the equation is:

                                          y = -25x + 180

A coin collection consists of dimes and nickels. If there are a total of 500 coins valued
at $39. how many dimes are there?

Answers

Answer:

There are 280 dimes

Step-by-step explanation:

A nickel is worth 5 cents while a dime is worth 10 cents

Let n be number of nickel

d the number of dimes

n + d = 39

Secondly

$39 is same as 3900 cents

So we have;

10d + 5n = 3900

From first equation;

n = 500-d

Put this in second equation;

10d + 5(500-d) = 3900

10d + 2500-5d = 3900

5d = 3900-2500

5d = 1400

d = 1400/5

d = 280

Solve the equation for x:
-3(x + 4) + 5x = 24

Answers

Answer:

[tex]-3(x + 4) + 5x = 24\\\\-3x - 12 + 5x = 24\\\\2x - 12 = 24\\\\2x = 36\\\\x = 18[/tex]

The solution for x in this equation is 18.

Answer:

x = 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-3(x + 4) + 5x = 24

Step 2: Solve for x

Distribute -3:                    -3x - 12 + 5x = 24Combine like terms:        2x - 12 = 24Isolate x term:                  2x = 36Isolate x:                           x = 18

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                     -3(18 + 4) + 5(18) = 24Add:                                      -3(22) + 5(18) = 24Multiply:                                -66 + 90 = 24Add:                                      24 = 24

Here we see that 24 does indeed equal 24.

∴ x = 18 is the solution to the equation.

In parallelogram ABCD above, AE =2x+4 and AC=6x. What is the length of CE?

Answers

Answer:

4-4x

Step-by-step explanation:

From the parallelogram

CE = CA+AE

Since CA = -AC

CE = -AC+AE

GIVEN

AC = 6x

AE= 2x+4

Substitute

CE = -6x+2x+4.

CE = -4x+4

Gene the length of CE is 4-4x

14 ÷ (2 + 5) what the answer to this?

Answers

2

Bidmas
Brackets
Indicies
Divide
Multipy
Add
Subtract

Answer:

2

Step-by-step explanation:

2+5 = 7                 14 divided by 7 is 2

mark as brainliest plz

Help pls thank you!!!

Answers

Answer:

I think its 8 but I'm not positive sorry if I'm wrong!

Step-by-step explanation:

The Y-intercept is when the line of the graph crosses through the y intercept

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