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2 years ago

Solve the proportion 40/z+1 = 15/6

Mathematics

1 answer:

vovangra [49]2 years ago

7 0

Answer:

Step-by-step explanation:

$\frac{40}{z + 1} = \frac{15}{6} \\$

<u>Cross multiply </u>

That's

$15(z + 1) = 40(6) \\ 15z + 15 = 240$

<u>Send 15 to the right side of the equation</u>

$15z = 240 - 15 \\ 15z = 225$

Divide both sides by 15

$\frac{15z}{15} = \frac{225}{15} \\$

We have the final answer as

Hope this helps you

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Find the volume of the cylinder

Alex787 [66]

Answer:

see below

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the radius is 9 and the height is 20

V = pi ( 9)^2 ( 20)

V = 1620 pi

If we approximate pi by 3.14

V =5086.80 cm^3

If we approximate pi by pi button

V =5089.3800099 cm^3

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2 years ago

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Required information NOTE: This is a multi-part . Once an answer is submitted, you will be unable to return to this part A club

algol13

Answer:

491400

Step-by-step explanation:

Given : A club has 28 members.

To Find : . How many ways are there to choose four members of the club to serve on an executive committee?

Solution:

We are supposed to choose four members of the club out of 28.

So, we will use combination

Formula : $^nC_r=\frac{n!}{r!(n-r)!}$

n = 28

r = 4

Substitute the values :

$^{28}C_{4}=\frac{28!}{4!(28-4)!}$

$^{28}C_{4}=\frac{28 \times 27 \times 26 \times 25 \times 24!}{4!(24)!}$

$^{28}C_{4}=\frac{28 \times 27 \times 26 \times 25 \times 24}{4 \times 3 \times 2 \times 1}$

$^{28}C_{4}=491400$

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2 years ago

If the product of two numbers is zero then at least one of the numbers must be zero

melisa1 [442]

This statement is true.

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2 years ago

The graph of the function C(x) = −0.34x2 + 12x + 62 is shown. The function models the production cost, C, in thousands of dollar

Virty [35]

Answer:

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

Step-by-step explanation:

Let

x ----> is the number of tires produced, in thousands

C(x) ---> the production cost, in thousands of dollars

we have

$C(x)=-0.34x^{2} +12x+62$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The graph in the attached figure

we know that

Looking at the graph

For the interval [0,1.12) -----> $0\leq x$

The value of C(x) ----> $C(x) < 75$

That means ----> The production cost is under $75,000

For the interval (34.18,39.87] -----> $34.18 < x\leq 39.87$

The value of C(x) ----> $C(x) < 75$

That means ----> The production cost is under $75,000

Remember that the variable x (number of tires) cannot be a negative number

therefore

If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is

0 ≤ x < 1.12 and 34.18 < x ≤ 39.87

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2 years ago

Help ;-;........ ;v;

iragen [17]

Answer:

$163

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Bob worked 26 hours and earn $7 per hour. Multiply 26 with 7:

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Bob made a total of $182 last month.

Bob then spent $19. Subtract 19 from the total earned:

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2 years ago

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