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Zepler [3.9K]
3 years ago
7

The surf instructor has an initial fee of $12 and charges $8 per hour for lessons, which is represented by the equation y = 8x +

12, where x is the number of hours and y is the total cost. The instructor gives 32 hours of lessons a month to Sandra and 24 hours of lessons a month to Bela. What is the total amount the instructor makes in a month?
Sandra: y = 8 (32) + 12. y = 256 + 12. y = 268. The instructor receives 268 dollars a month from Sandra.

The instructor makes $_472_ a month.
Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0

Answer: 472$

Step-by-step explanation:

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What are the sides of ∠E?
Veronika [31]

Answer:

C. FE and ED

Step-by-step explanation:

The question is asking what are the sides of angle E. I've marked angle E along with its sides in the attached picture.

One side of the angle E has to be ED.

However we have multiple options for the other side. It can be called FE, CE or BE.

So the answers could be any of:

- ED and FE

- ED and CE

- ED and BE

The option that has one of the possible answers is option C: FE and ED.

6 0
2 years ago
Simplify the expression. Assume that all variables are positive. Exponents in simplified form should all be
Rainbow [258]

<u>Given</u>:

The given expression is \frac{7^{\frac{1}{2}} \cdot 7^{\frac{3}{2}}}{7^{-3}}

We need to determine the exponents in simplified form.

<u>Exponents in simplified form:</u>

Let us determine the exponent in simplified form.

Let us apply the exponent rule \frac{x^{a}}{x^{b}}=x^{a-b}

Thus, we have;

7^{\frac{1}{2}+\frac{3}{2}-(-3)}

Adding the fractions, we get;

7^{\frac{4}{2}-(-3)}

Cancelling the common terms, we have;

7^{2-(-3)}

Simplifying the exponent, we get;

7^{2+3}

Adding the exponent, we have;

7^5

Thus, the simplified form of the expression is 7^5

8 0
3 years ago
Muffins are sold in packages of 18 and cost $27 per package. Each of 6 friends gets an equal share of muffins from p packages of
Rina8888 [55]

Answer:

27/18= 1.5

18/6 = 3

3•1.5= 4.5

Step-by-step explanation:

$27 divided by 18 muffins equals $1.50, 18 muffins divided by 6 people equals 3, 3 muffins times $1.50 equals $4.50. So $4.50 is how much each person would have to pay.

5 0
3 years ago
A student from the community college is selected at random. Find the probability that the student is between 26 and 35 inclusive
Ksivusya [100]

The question is incomplete! The complete question along with answers and explanation is provided below!

Question:

The age distribution of students at a community college is given below:

Number of students under 21: 416

Number of students 21-25: 402

Number of students 26-30: 210

Number of students 31-35: 55

Number of students over 35: 24

Total number of students: 1107

A student from the community college is selected at random. Find the probability that the student is between 26 and 35 inclusive. Round approximations to three decimal places.

Answer:

Probability of age 26-35 = 0.239 or 23.9 %

Step-by-step explanation:

The no. of students in the age 26-35 = no. of students of age 26-30  + no. of students of age 31-35

The no. of students in the age 26-35 = 210 + 55

The no. of students in the age 26-35 = 265

Total no. of students: 1107

Probability of age 26-35 =  The no. of students in the age 26-35/ Total no. of students

Probability of age 26-35 = 265/1107

Probability of age 26-35 = 0.239

Probability of age 26-35 = 23.9 %

7 0
3 years ago
Give some examples of trigonometric functions that generate periodic waves.
Harrizon [31]

Answer:

1. Sine (sin) 2. Cosine (cos) 3. Tangent (tan) 4. Secant (sec) 5. Cosecant (csc) 6. Cotangent (cot) These functions are used to relate the angles of a triangle with the sides of that triangle.

Step-by-step explanation:

7 0
4 years ago
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