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3 years ago

Kyle is renting a jet ski for the day. Below are his two options.

Mathematics

1 answer:

Brums [2.3K]3 years ago

7 0

Lets x = # of hours

Powersports Plus: $30 an hour plus a non-refundable deposit of $50.

Write an expression to show how to calculate the cost of Powersports Plus.

30x + 50

Sun & Surf: $20 an hour plus a non-refundable deposit of $80.

Write an expression to show how to calculate the cost of Sun & Surf.

20x + 80

Next, set the 2 expressions equal to each other.

30x + 50 = 20x + 80

Solve:

30x + 50 = 20x + 80

10x = 30

x = 3

Two companies cost Kyle the same amount of money at 3 hours

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Solve for v. -8(v+7)=3v-23 Simplify your answer as much as possible. v=

aksik [14]

Answer:

v = -3

Step-by-step explanation:

-8(v + 7) = 3v - 23

Expand.

-8v - 56 = 3v - 23

Add -3v and 56 on both sides.

-8v - 56 + 56 - 3v = 3v - 23 + 56 - 3v

-8v - 3v = -23 + 56

Combine like terms.

-11v = 33

Divide -11 into both sides.

-11v/-11 = 33/-11

v = -3

3 0

3 years ago

Read 2 more answers

Find the value of S for an infinite geometric series with r =1/6 and a1= 10.

fiasKO [112]

Kind of the whole point of an infinite geometric series is that you can't find the sum. If it is infinite, then the sum is infinite.

3 0

3 years ago

Simplify each expression using the proper order of operations. please help thank you so much :)

Tasya [4]

Answer:

$\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4$

$12 + 3\sqrt{8} * (9 - 2) = 12 + 42 \sqrt{2}$

$\frac{28 - (7^2 + 3)}{-13 + 3 * 5} = -12$

$7^2 - 5* 8+1 = 10$

$(2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18$

Step-by-step explanation:

<em>Required: Solve the expressions using proper operation order</em>

To solve this, we'll make use of BODMAS

--------------------------------------------------------------------------------------------------------

$\frac{41 - 3^2}{\sqrt{36} * 3 - 26}$

Evaluate all squares and square roots

$\frac{41 - 3*3}{\sqrt{36} * 3 - 26}$

$\frac{41 - 3*3}{6 * 3 - 26}$

Evaluate the numerator (Start by multiplying 3 * 3)

$\frac{41 - 9}{6 * 3 - 26}$

Subtract 9 from 41

$\frac{32}{6 * 3 - 26}$

Evaluate the denominator (Start by multiplying 6 * 3)

$\frac{32}{18 - 26}$

$\frac{32}{-8}$

Divide 32 by -8

-4

Hence;

$\frac{41 - 3^2}{\sqrt{36} * 3 - 26} = -4$

--------------------------------------------------------------------------------------------------------

$12 + 3\sqrt{8} * (9 - 2)$

Start by evaluating the bracket

$12 + 3\sqrt{8} * 7$

Then evaluate the multiplication

$12 + 21\sqrt{8}$

Simplify the square root

$12 + 21\sqrt{4 * 2}$

Split the square root

$12 + 21\sqrt{4} * \sqrt{2}$

Take Square root of 4

$12 + 21 * 2} * \sqrt{2}$

$12 + 42 \sqrt{2}$

Hence;

$12 + 3\sqrt{8} * (9 - 2) = 12 + 42 \sqrt{2}$

--------------------------------------------------------------------------------------------------------

$\frac{28 - (7^2 + 3)}{-13 + 3 * 5}$

Evaluate 7²

$\frac{28 - (49 + 3)}{-13 + 3 * 5}$

Evaluate all expression in the bracket

$\frac{28 - (52)}{-13 + 3 * 5}$

$\frac{28 - 52}{-13 + 3 * 5}$

Evaluate 3 * 5

$\frac{28 - 52}{-13 + 1 5}$

$\frac{-2 4}{2}$

$-12$

Hence;

$\frac{28 - (7^2 + 3)}{-13 + 3 * 5} = -12$

--------------------------------------------------------------------------------------------------------

$7^2 - 5* 8+1$

Evaluate 7²

$49 - 5* 8+1$

Evaluate 5 * 8

$49 - 40 + 1$

$10$

$7^2 - 5* 8+1 = 10$

--------------------------------------------------------------------------------------------------------

$(2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1$

Evaluate all square root and cube root

$(2 * 4) - (3 * 9) + 1$

Solve the expressions in bracket

$8 - 27 + 1$

$-18$

Hence;

$(2 * \sqrt{16}) - (\sqrt[3]{27} * \sqrt{81}) + 1 = -18$

7 0

3 years ago

What is the SST for the data set (1,4), (2,6),(4,11)?

densk [106]

Answer: 26

Step-by-step explanation:

First Data: (4 - 7)^2

Second data: (6 - 7)^2

Third Data: (11 - 7)^2

So the SST is (4 - 7)^2 + (6- 7)^2 + (11 - 7)^2 = 9 + 1 + 16 = 26

Hope this helps! :)

5 0

3 years ago

Read 2 more answers

If the height is 24, solve for x. h=-16x^2+8x+48

disa [49]

Answer:

3121

7−

3121

Step-by-step explanation:

h+16^2-8x-48=0

-7x+16x^2-48=0

3121

7−

3121

8 0

3 years ago