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tatuchka [14]
3 years ago
10

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 $ a month.
Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
7 0
268 + 8(24)+12
268 + 204

instructor makes $472 a month
antoniya [11.8K]3 years ago
4 0

Answer:

$472

Step-by-step explanation:

I got it right on edge.

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An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t
Alenkinab [10]

Answer:

The triangle's perimeter is 61.77 inches.

Step-by-step explanation:

Since an altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles, and as a result, the altitude cuts the base into two equal segments, and the length of the altitude is 26 inches, and the length of the base is 9 inches, to find the triangle's perimeter the following calculation must be performed:

Isosceles triangle = 2 equal sides

To obtain the value of the sides, the Pythagorean theorem must be applied on the right triangle formed with the altitude.

(9/2) ^ 2 + 26 ^ 2 = X ^ 2

4.5 ^ 2 + 26 ^ 2 = X ^ 2

20.25 + 676 = X ^ 2

√ (20.25 + 676) = X

√696.25 = X

26.38 = X

26.3865 x 2 + 9 = X

52.77 + 9 = X

61.77 = X

Therefore, the triangle's perimeter is 61.77 inches.

5 0
2 years ago
Ok ok this i need help
lakkis [162]

Answer:

2

Step-by-step explanation:

18-4^2=2

7 0
2 years ago
Read 2 more answers
Identify the series 2 + 5 + 8 + 11 + 14 + . . . as arithmetic, geometric or neither.
rusak2 [61]
2, 5, 8, 11, 14 is an arithmetic sequence

a_1=2;\ d=3;\ a_n=2+(n-1)\cdot3=2+3n-3=3n-1
4 0
2 years ago
Read 2 more answers
F(x)=x 2 +10f, left parenthesis, x, right parenthesis, equals, x, squared, plus, 10 What is the average rate of change of fff ov
pav-90 [236]

Answer:

Average rate of change=-3

Step-by-step explanation:

The average rate of change is given by the relation between the values of f(x) and x, in two different points as follows:

Change=\frac{f(x_{2})- f(x_{1})}{x_2-x_1}

In this case, x_{1}=-2; x_{2}=-1

Therefore,

Change=\frac{((-1)^{2}+10) -((-2)^{2}+10)}{-1-(-2)}=\frac{11-14}{1}=-3

3 0
3 years ago
Read 2 more answers
Water is leaking out of an inverted conical tank at a rate of 12,000 cm3/min at the same time that water is being pumped into th
Bas_tet [7]

Answer:

291111.1cm^3/min

Step-by-step explanation:

We are given that

\frac{dV}{dt}_{out}=12000 cm^3/min

Height of tank,h=6 m

Diameter of top,d=4 m

Radius,r=\frac{d}{2}=\frac{4}{2}=2 m

\frac{dh}{dt}=20 cm/min

\frac{r}{h}=\frac{2}{6}=\frac{1}{3}

r=\frac{1}{3} h

We have to find rate at which water is being pumped into the tank.

Volume of conical ,V=\frac{1}{3}\pi r^2 h

V=\frac{1}{3}\pi(\frac{1}{3} h)^2h=\frac{1}{27}\pi h^3

\frac{dV}{dt}=\frac{1}{9}\pi h^2(\frac{dh}{dt})

h=2 m=200 cm

1m=100 cm

\frac{dV}{dt}_{in}-12000=\frac{1}{9}\pi(200)^2\times 20

\frac{dV}{dt}_{in}=12000+\frac{1}{9}\pi (40000)\times 20

\frac{dV}{dt}_{in}=291111.1cm^3/min

4 0
3 years ago
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