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2 years ago

6

Anna wants to take fitness classes. She compares two gyms to determine which would be the best deal for her. Fit Fast charges a

set fee per class. Stepping Up charges a monthly fee, plus an additional fee per class. The system of equations models the total costs for each.
y = 7.5x

y = 5.5x + 10

1. Substitute: 7.5x = 5.5x + 10

How many classes could Anna take so that the total cost for the month would be the same?

2 answers:

MaRussiya [10]2 years ago

7 0

Answer:

5 classes and 37.5 dollars monthly

Step-by-step explanation:

i just did it on E2020 ur welcome

Tomtit [17]2 years ago

7 0

Answer:

y = 7.5x and y = 5.5x + 10

Step-by-step explanation:

this is for if you get the graph or not!

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What effect would doubling all the dimensions of a triangular pyramid have on the volume of the pyramid? Explain your reasoning.

spin [16.1K]

Doubling all the dimensions of a triangular pyramid, the volume of the pyramid becomes quadrupled.

Explanation:

The volume of the triangular pyramid is given by

$V_{1}=\frac{1}{3} \cdot b \cdot h$

where b is the base of the pyramid and

h is the height of the pyramid.

Doubling all the dimensions of the pyramid, we have,

$b=2b$ and $h=2h$

Thus, volume of the triangular pyramid is given by

$V_{2}=\frac{1}{3} \cdot2b \cdot 2h$

Multiplying, we get,

$$V_{2}=\frac{1}{3}4bh$

$$V_{2}=4\frac{1}{3}bh$

$V_2$=4 \cdot V_{1}$$

Thus, doubling all the dimensions of a triangular pyramid, the volume of the pyramid becomes quadrupled.

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2 years ago

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F(x)=x 3−9xf, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 9, x What is the average rate of change of f over

mel-nik [20]

Answer:

$A(x) = 243$

Step-by-step explanation:

Given

$f(x) = x^3 - 9x$

$Interval: (12,6)$

Required

Determine the average rate of change

Average rate is calculated as thus;

$A(x) = \frac{f(b) - f(a)}{b - a}$

<em>In this case; b = 12 and a = 6</em>

Calculating f(12)

$f(12) = 12^3 - 9 * 12$

$f(12) = 1728 - 108$

$f(12) = 1620$

Calculating f(6)

$f(6) = 6^3 - 9 * 6$

$f(6) = 216 - 54$

$f(6) = 162$

Substitute 12 for b and 6 for a in $A(x) = \frac{f(b) - f(a)}{b - a}$

$A(x) = \frac{f(12) - f(6)}{12 - 6}$

Substitute values for f(6) and f(12)

$A(x) = \frac{1620 - 162}{12 - 6}$

$A(x) = \frac{1458}{ 6}$

$A(x) = 243$

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2 years ago

Find the area of the shaded region. Round the the nearest tenth.

Brums [2.3K]

Answer:

226.084 sq.m.

Step-by-step explanation:

Radius of circle = 18.6 cm

Area of sector = $\frac{\theta}{360^{\circ} }\pi r^2$

Area of sector = $\frac{123}{360} \times 3.14 \times (18.6)^2$

Area of sector = $371.157 m^2$

Area of triangle = $\frac{1}{2} \times a \times b \times Sin x$

a = OA = radius = 18.6 cm

b = OB = radius = 18.6 cm

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Substitute the values in the formula

Area of triangle = $\frac{1}{2} \times 18.6 \times 18.6 \times Sin 123$

Area of triangle = $145.073 m^2$

So, Area of shaded region = Area of sector - Area of triangle

= $371.157 m^2-145.073 m^2$

= $226.084 m^2$

Hence the area of the shaded region is 226.084 sq.m.

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3 years ago

I’m really bad at the nth term, can anyone help me figure out the nth term of this sequence: 7,10,13,16,19 ...

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Answer:

so the answer is 31

Step-by-step explanation:

well first you have to see how much it increases each time

_____________________________________________

so that would be three

_____________________________________________

so

7_10_13_16_19_22_25_28_31

1 2 3 4 5 6 7 8 9

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2 years ago

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What’s the correct answer for this question?

Brut [27]

Answer:

C.

Step-by-step explanation:

First finding height using Pythagoras theorem

(H)²=(B)²+(P)²

8.2²=5.4²+P²

P² = 67.24 - 29.16

P² = 38.08

P = 6.2

Now

Volume of cone = (1/3)πr²h

= (1/3)(3.14)(5.4)²(6.2)

= (1/3)(567.9)

= 189.2 cm³

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