Which equation is correctly rewritten to solve for x?
x/r - s = t A. x = t+s/r B. x= rt + s C. x= r(t + s) D. x= r(t - s)

Answer:

height of the waste is 20.0 inches.

Step-by-step explanation:

given data

volume = 5, 667.7cubic inches

radius = 9.5 inches

solution

we use here volume of a cylinder is express as

V = πr²h     .................1

put here value

5667.7 = (3.14) × (9.5²) × h

solve it we get

h = 20 inch

so height of the waste is 20.0 inches.

Answer:

c mark me as brainliest

Step-by-step explanation:

Answer:

f = -3/4

Step-by-step explanation:

13f + 6 -f = -3

Combine like terms

12f +6 = -3

Subtract 6 from each side

12f+6-6 = -3-6

12f = -9

Divide each side by 12

12f/12 = -9/12

f = -3/4

Answer:

f= -3/4 or -0.75

Step-by-step explanation:

We are given the equation:

13f + 6 -f = -3

First, let's combine like terms. Subtract f from 13f.

(13f-f) + 6 = -3

12f + 6= -3

We want to find f. Therefore, we must isolate the variable on one side of the equation.

6 is being added to 12f. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.

12f + 6 -6 = -3-6

12f= -3-6

12f= -9

f is being multiplied by 12. The inverse of multiplication is division. Divide both sides by 12.

12f/12= -9/12

f= -9/12

This fraction can be reduced. Both the numerator and denominator can be divided by 3.

f = (-9/3) / (12/3)

f= -3/4

f=-0.75

The solution to the equation is f= -3/4 or -0.75

Answer:

Step-by-step explanation:

Answer:

65000(1.02)^n.

Step-by-step explanation:

Salary = 65000(1.02)^n   where n is the number of years he has worked for the company.

So after one year he earns $6500* 1.02 and after 2 years $65000 * 1.02^2.

The exponential function represents Mark's salary is [tex]65000(1.02)^n.[/tex]

The mathematical expression f(x)=exp or e^x denotes the exponential function.

The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

Given that Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so its employees' salaries keep up with inflation. At the end of the first year, Mark will have made $65,000.

The exponential function for the salary will be written as:-

[tex]Salary = 65000(1.02)^n[/tex]  

where n is the number of years he has worked for the company.

So after one year, he earns $6500 x 1.02, and after 2 years $65000 x 1.02².

Therefore, the exponential function represents Mark's salary is [tex]65000(1.02)^n.[/tex]

To know more about an exponential function follow

https://brainly.com/question/2456547

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Answer:

The expression of density of the material with a density of 6 pound per pint in grams per liter (g/L) is 5756.75 g/L

Step-by-step explanation:

The density of the material is 6 pounds per pint of volume

The given conversion factors are;

1 pint (pt) = 2 cups (cups)

1 cup (cup) = 8 fluid ounces (fl oz)

Therefore;

2 cups (cups) = 2 × 8 fluid ounces = 16 fl oz

Also given;

1 fluid ounce = 29.574 mililiters (mL)

16 fl oz = 16 × 29.574 mL = 473.184 mL

1 liter (L) = 1000 mililiters (mL)

∴ 1 mL = 1/1000 L = 0.001 L

473.184 mL = 473.184 ×  0.001 L = 0.473184 L

1 pound (lb) = 0.454 kilograms (kg)

6 lb = 6 × 0.454 kg = 2.724 kg

1 kg = 1000 grams (g)

2.724 kg = 2.724 ×  1000 grams (g) = 2724 g

Therefore, with 6 lb = 2724 g and 1 pt = 0.473184 L, the density, d, of the material in grams per liter that has a density of 6 pounds per pint is given as follows;  

d = 2724 g/(0.473184 L)= 5756.75 g/L

The expression of density of the material with a density of 6 pound per pint in grams per liter (g/L) = 5756.75 g/L = 5756.75 g/L.

Answer:

1. quarant 2

2. quadrant 1

3. quadrant 2

4. quadrant 4

5. quadrant 4

6. quadrant 2

7.quadrant 2

8. quadrant 3

Step-by-step explanation:

Answer:

A.  2a² / 5b

Step-by-step explanation:

12a³b² / 30ab³

cancel the common factor = 6

= 2a³b² / 5ab³

cancel the common factor = a

= 2a²b² / 5b³

apply exponent rule, so

= 2a² / 5b³ ⁻ ²

subtract 3 - 2 = 1

= 2a² / 5b

Answer:

a.    [tex]T = 17s[/tex]

b.    [tex]D = 72cm[/tex]

Step-by-step explanation:

Given

Direct Variation

[tex]Distance(D)\ \alpha\ Time (T)[/tex]

D = 264 cm when T = 11 s

Calculating (a)

First, the constant of variation (k) as to be calculated;

Since, there exist a direct proportion; then,

[tex]D\ \alpha\ T[/tex]

[tex]D = kT[/tex]

Make k the subject of formula

[tex]k = \frac{D}{T}[/tex]

D = 264 cm when T = 11 s; So

[tex]k = \frac{264}{11}[/tex]

[tex]k = 24[/tex]

So: Solving for (a)

[tex]D = 408[/tex]

Substitute 408 for D and 24 for k in [tex]D = kT[/tex]

[tex]408 = 24 * T[/tex]

Divide both sides by 24

[tex]\frac{408}{24} = T[/tex]

[tex]T = \frac{408}{24}[/tex]

[tex]T = 17s[/tex]

Hence, time to move a distance of 408cm is 17s

Calculating (b)

[tex]T = 3[/tex]

Substitute 3 for T and 24 for k in [tex]D = kT[/tex]

[tex]D = 24 * 3[/tex]

[tex]D = 72cm[/tex]

Hence, distance covered in 3 seconds is 72cm

Answer:

1. was (but I think it should be is)

Step-by-step explanation:

the smell of flowers was/is sweet

-----------------------

The sentence is referring to the smell, and smell is singular, so we should is or was

Hope this helps!! :)

Step-by-step explanation:

If we are solving for t, we have to remember that we have to isolate the variable (get its on its own). Since -1 is with t on the same side of the equation right now, we have to move the -1 to the other side of the equation. To do so, we add it's opposite to the right side (+1). Then, the -1 cancels out so we are left with an isolated t.

-6 = t - 1 (+1)

-6 = t

But we are not done yet! Whatever we do on one side, we have to do on the other side. Since we added 1 to the right, we have to add 1 on the left, too. So we add 1 to -6.

(+1) -6 = t

-6 + 1 = -5

-5 = t

Our final answer: t = - 5 (it can also be written as - 5 = t, but most people prefer the variable going first)

Is this the full question?

Answer:

DF=41

Step-by-step explanation:

It is given that F is the midpoint of DE. We know that, midpoint bisects the line segment. So,

DF=FE

3x+5=5x-19

Subtracting both sides by 3x

3x+5-3x=5x-19-3x

5=2x-19

Subtract both sides by 5

5-5=2x-19-5

0=2x-24

2x=24

x=12

So, the value of x is 12.

Put x = 12 in DF=3x+5

DF=3(12)+5

DF= 36+5

DF = 41

So, the value of DF is 41.

Answer:

-12

Step-by-step explanation:

2x+29+8=×+25

Solve for x

Answer:

i think you had written the formula wrongly

so if it was -30x not -30

Step-by-step explanation:

x intercept when y=0

-30x = 15

x= -0.5

y intercept when x=0

5y= 15

y=3

- if this is the one you want

-30 +5y=15

5y =45

y=9

and there not x intercept { }

It is true as A consist {7,8,9,10,11,12} and B consists of{9,11,13} and C consist of {7,8,10,12} and D has{7,12} there are the set of numbers from 7 to 13 only so the answer is true that U={7,8,9,10,11,12,13}.

Answer:

[tex] 4\sqrt{10} [/tex]

Step-by-step explanation:

Perimeter of the rhombus, STAR, is the sum of the length of all it's 4 sides.

The coordinates of its vertices are given as,

S(-1, 2)

T(2, 3)

A(3, 0)

R(0, -1)

Length of each side can be calculated using the distance formula given as [tex] d = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Find the length of each side ST, TA, AR, RS, using the above formula by plugging in the coordinate values (x, y) of each vertices.

[tex] ST = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

S(-1, 2) => (x1, y1)

T(2, 3) => (x2, y2)

[tex] ST = \sqrt{(2 -(-1))^2 + (3 - 2)^2} [/tex]

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

[tex] TA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

T(2, 3) => (x1, y1)

A(3, 0) => (x2, y2)

[tex] TA = \sqrt{(3 - 2)^2 + (0 - 3)^2} [/tex]

[tex] TA = \sqrt{(1)^2 + (-3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]

[tex] AR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

A(3, 0) => (x1, y1)

R(0, -1) => (x2, y2)

[tex] AR = \sqrt{(0 - 3)^2 + (-1 - 0)^2} [/tex]

[tex] AR = \sqrt{(-3)^2 + (-1)^2} = \sqrt{9 + 1} = \sqrt{10} [/tex]

[tex] RS = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

R(0, -1) => (x1, y1)

S(-1, 2) => (x2, y2)

[tex] RS = \sqrt{(-1 - 0)^2 + (2 -(-1))^2} [/tex]

[tex] RS = \sqrt{(-1)^2 + (3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]

[tex] Perimeter = ST + TA + AR + RS [/tex]

[tex] Perimeter = \sqrt{10} + \sqrt{10} + \sqrt{10} + \sqrt{10} = 4\sqrt{10} [/tex]

Answer:

(-x/5) - 1

Step-by-step explanation:

Step 1: Translate word into math

one less = - 1

quotient of a number and -5 = x/-5

Step 2: Combine

(x/-5) - 1

Step 3: Simplify

(-x/5) - 1

Answer:

64 cups of lemon juice

Explanation:

First, you can determine with the information provided the amount of cups of lemon needed to prepare sixteen cups of lemonade:

5 cups of lemonade→2 cups of lemon juice

16 cups of lemonade→x

x=(16*2)/5=6.4 cups of lemon juice

Now, you now that for sixteen cups that is the amount in a gallon you need 6.4 cups of lemon juice and you can use a rule of three to determine the amount needed for ten gallons of lemonade:

1 gallon of lemonade→6.4 cups of lemon juice

10 galons of lemonade→x

x=(10*6.4)/1=64 cups of lemon juice

According to this, the answer is that 64 cups of lemon juice are needed to make ten gallons of lemonade.

Answer:

I think if you take the x out it would be equivalent

Step-by-step explanation:

3•3•3

Answer: 6 to the second power equals 36.

Step-by-step explanation: Any number to the power of two multiples by itself.

So 6 x 6 = 36

Answer:

36

Step-by-step explanation:

6^2= 36

Answer:

5th degree polynomial

Step-by-step explanation:

The degree of a polynomial is the highest sum of the exponents in one term.

So we have the polynomial:

[tex]6xy^4-3x^3-4[/tex]

Calculate the degree of each term:

1st Term:

[tex]6xy^4[/tex]

This is the same as:

[tex]6x^1y^4[/tex]

So, our degree is 1+4=5.

2nd Term:

[tex]-3x^3[/tex]

There is only one variable. So, the degree is 3.

3rd Term:

[tex]-4[/tex]

This is the same as:

[tex]-4x^0[/tex]

So, this is a zeroth degree.

The largest degree is 5.

So, this is a fifth degree polynomial.

Notes:

To be more specific, this is a fifth degree trinomial.

Answer:

third degree

Step-by-step explanation:

it is a third degree polynomial because the equation is considered cubic. cubic means to the 3rd power. its cubic because there's three parts to the equation

When we reflect every point over the x axis...

The rule you use is [tex](x,y) \to (x,-y)[/tex]

The x coordinate stays the same while the y coordinate flips in sign (in this case from negative to positive)

Answer:

1. 24 different 4-digit numbers can be formed.

Step-by-step explanation:

2. The probability that the number 3 will be the first or third digit is 1:1, which is equal to 1/2 and 50%

3. The probability is 3:1, 3/4, or 75%

4.  What is the probability that the first digit will be the number 3 and the second digit will be the number 7? Answer: 1/12

Answer:

false

Step-by-step explanation:

Answer:false

Step-by-step explanation:

Answer:

For this case we can make the following rule of three:

1 1/2 ---------> 3/4

x --------------> 9

We clear the value of x:

x = ((9) / (3/4)) * (1 1/2)

Rewriting we have:

x = ((9) * (4/3)) * (1 1/2)

x = (36/3) * (1 1/2)

x = (12) * (1 1/2)

x = (12) * (3/2)

x = 18

Answer:

you would need 18 quarts of sparkling water to mix with 9 quarts of grape juice

Answer:C

Step-by-step explanation:

Change 6 1/3 into a mixed number so 19/3 then multiply 19 * 4 then divide by 4. So C

Answer:

25 1/3 C

Step-by-step explanation:

Answer:

h(4)= -2

Step-by-step explanation:

plug in 4 into the x:

h(4)=-4+2=-2

Answer:

33.2

Step-by-step explanation:

Multiply 332 by 0.1

or 332/10=33.2