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german
2 years ago
12

Mariah's earnings rate can be described in dollars per hour or hours per dollar. Mariah earns $10 for each hour she works at a m

ovie theater. State this rate in two different ways, and describe the difference.
Mathematics
1 answer:
weeeeeb [17]2 years ago
7 0

Answer:

<u>dollars per hour rate = $10</u>

<u>hours per dollar = 6 minutes 15 seconds</u>

Step-by-step explanation:

Take note that one is singular (dollar) without an 's', and the other is plural (dollars). Thus, since her dollars per hour rate tells us how much she will earn for each hour of work, we would expect her hours per dollar rate to tell us how much she has to work in minutes to earn a single dollar ($1).

If we divide \frac{10}{60 minutes} = $0.16 which indicates how much she earns for every minute she works at the theater. Further dividing this value into 1 minute we find the hour per dollar rate 1/0.16 = 6.25. minutes.

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What is the circumference of a circle with a radius of eight inches
stira [4]

Answer:

  • 50.24 inches

\:

Step-by-step explanation:

It is given that, the radius of a circle is 8 inches and we are to find the circumference of the circle.

\:

To find the circumference of the circle we must know this formula first :

\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{  \: Circumference_{(circle)}= 2 \pi r}}}}}} \: \: \bigstar \\ \\

Where

  • r is the radius of the circle.

  • We'll take the value of π as 3.14

Now substituting the values in the formula :

\\{ \longrightarrow \qquad{  {{\sf{{  \: Circumference_{(circle)}= 2  \times 3.14 \times  8}}}}}} \: \:  \\ \\

{ \longrightarrow \qquad{  {{\sf{{  \: Circumference_{(circle)}=    3.14 \times  16}}}}}} \: \:  \\ \\

{ \longrightarrow \qquad{  { \pmb{\frak{{  \: Circumference_{(circle)}=    50.24}}}}}} \: \:  \\ \\

Therefore,

  • The circumference of the circle is 50.24 inches
7 0
2 years ago
Read 2 more answers
Which integer is closest to 0 on the number line?
Elenna [48]
The answer is C, 1.
In a number line, the larger number it gets, the more of the right side they're. The smaller the number, the more left side they get.
So, on a number line, 1 is just at the right side of 0, all the other options are at least one more place away from 0.
7 0
3 years ago
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Point R is on line segment QS. Given QS= 5x-2, QR= 3x-6, and RS=4x-2, determine the numerical length of RS.
pashok25 [27]

Answer:

The numerical length of RS is 10 units

Step-by-step explanation:

* <em>Lets explain How to solve the problem</em>

- Point R is on line segment QS

- The length of QS is (5x - 2)

- The length of QR is (3x - 6)

- The length of RS is (4x - 2)

- <em>The length of QS is the sum of the lengths of QR and RS</em>

∵ QS = QR + RS

∴ (5x - 2) = (3x - 6) + (4x - 2)

- Simplify the right hand side by adding like terms

∴ 5x - 2 = (3x + 4x) + (-6 + -2)

∴ 5x - 2 = 7x + -8 ⇒ (+)(-) = (-)

∴ 5x - 2 = 7x - 8

- Add 8 for both sides

∴ 5x + 6 = 7x

- Subtract 5x from both sides

∴ 6 = 2x

- Divide both sides by 2

∴ x = 3

- <em>To find the length of RS substitute the value of x in its expression</em>

∵ RS = 4x - 2

∵ x = 3

∴ RS = 4(3) - 2 = 12 - 2 = 10

∴ The numerical length of RS is 10 units

8 0
3 years ago
The sum of two numbers is 80 . The ratio of those two numbers is 3:5 find the larger Number
Oksana_A [137]

Answer:

the larger number is 50

Step-by-step explanation:

Notice there are two unknown numbers. Let's address the smaller one as x and the larger one as y. now we can write two equations from translating the phrases given into algebraic expressions:

"the sum of two numbers is 80" can be written as:

x+y=80

Now the second phrase:

"The ratio of those two numbers is 3/5"

Notice here that in our ratio we need to use our small number (x) in the numerator of the quotient, and the larger number (y) in the denominator to make it in agreement with the small and larger numbers of the ratio \frac{3}{5}, and solve for x:

\frac{x}{y} = \frac{3}{5} \\x= \frac{3}{5}y

Replace the value of x we just obtained in the first equation we wrote, so we obtain one equation with only one unknown hat we should be able to solve:

x+y=80\\\frac{3}{5} y+y=80\\\frac{3}{5} y+\frac{5}{5} y=80\\\frac{8}{5}y=80 \\8y=80*5\\8y=400\\y=\frac{400}{8} \\y=50

Therefore the larger number (y) equals 50.

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3 years ago
Solve the equation for x and  find the restrictions on the variable. Ax + bx = c​
Serggg [28]

Answer:

x = c/(A + b)

A + b ≠ 0

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

Ax + bx = c

<u>Step 1: Solve for </u><em><u>x</u></em>

  1. Factor:                    x(A + b) = c
  2. Isolate <em>x</em>:                 x = c/(A + b)

We know that we cannot divide by 0, so A + b cannot equal 0.

8 0
3 years ago
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