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yarga [219]
2 years ago
12

During summer vacation, you charge $15 per hour for golf lessons and a registration fee of $45. If you make $120 one day, how ma

ny hours did you spend teaching lessons? Let g represent golf lessons, write an equation for the situation.
Mathematics
1 answer:
exis [7]2 years ago
7 0

Answer:

you spend 5 hrs. first you have to substract 45 from 120 because it is a default charge. 120-45 = 75. if you divide 75 by 15 you get 5 hrs. because it 15$ per hour.

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Find the area of the shaded region. ​
densk [106]

[1]

A1 = (h (a + b)) / 2

A1 = (21 (17 + 32)) / 2

A1 = (21 x 49) / 2

A1 = 1,029 / 2

A1 = 514.5 mm²

[2]

A2 = (b x h) / 2

A2 = (11 x 9) / 2

A2 = 99 / 2

A2 = 49.5 mm²

[3]

The area of the shaded region =

A1 - A2 =

514.5 mm² - 49.5 mm² =

465 mm²

The answer is 465 mm².

4 0
3 years ago
Renae likes to make pizza dough on the weekends. She has 8 1/3 cups of flour. She needs 5/6 of a cup for each pizza.How many piz
alina1380 [7]

Answer:

She can make 10 pizzas.

Step-by-step explanation:

8 1/3=25/3

(25/3)/(5/6)=(25/3)(6/5)=150/15=10

7 0
3 years ago
Simplify the polynomial expressions by combining like terms, and then multiply the resulting
dimaraw [331]

Answer:

The simplified expression is

20x^2 - 33x - 27

Step-by-step explanation:

(6x - 9 - 2x)(8 + 5x - 5)​

We must first rewrite the expression as a product of two binomials.

This can be done by adding like terms

(6x - 9 - 2x)(8 + 5x - 5)​

We have,

(4x-9)(5x+3)

Multiplying the resulting binomial expression

(4x-9)(5x+3)

(20x^2+12x-45x-27)

Add the like terms

20x^2-33x-27

The simplified expression is

20x^2 - 33x - 27

Twenty x squared minus thirty-three x minus twenty-seven

6 0
3 years ago
* ANSWER PLS * What is the value of x?
uysha [10]

Answer: 21°

Step-by-step explanation:

Since angles DAE and CBE are inscribed on arc AC, they r equal

Hence angle CBE = 42°

So angle DAE = 42/2 = 21°

8 0
3 years ago
4x + 9 = 2x + 15 .. I need help
valkas [14]

Answer:

x = 3

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

Step-by-step explanation:

<u>Step 1: Define Equation</u>

4x + 9 = 2x + 15

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 2x on both sides:                    2x + 9 = 15
  2. Subtract 9 on both sides:                      2x = 6
  3. Divide 2 on both sides:                          x = 3

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    4(3) + 9 = 2(3) + 15
  2. Multiply:                               12 + 9 = 6 + 15
  3. Add:                                     21 = 21

Here we see that 21 does indeed equal 21.

∴ x = 3 is the solution to the equation.

3 0
3 years ago
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