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2 years ago

A hot tub is 75 percent full with 600 gallons

Mathematics

1 answer:

Afina-wow [57]2 years ago

6 0

Answer:

When the hot tub is half full, there are 400 gallons of water in it.

Step-by-step explanation:

If 75% or 3/4 of the hot tub is 600 gallons and you need to find 50% or 1/2. Divide 600 by 3 to get 200 then simply multiply by 2 to get 400.

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If you have a bag of marbles, 5 blue, 2 red, 6 purple, and 5 green, what is the probability of selecting a blue marble?

Feliz [49]

Answer:

5/18 or about 0.28

Step-by-step explanation:

5 + 2 + 6 + 5 = 18

5/18 or about 0.28

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2 years ago

Read 2 more answers

Best Deal 1

scoray [572]

Answer:

C) 18 cents

Step-by-step explanation:

Given,

This weeks deal -

Quantity of Flour Price ($) Price per pound ($)

3 pounds 5.25 (5.25/3) = 1.75

5 pounds 9.75 (9.75/3) = 1.95

7 pounds 12.60 (12.60/3) = 1.80

10 pounds 14.20 (14.20/3) = 1.42

12 pounds 18.24 (18.24/3) = 1.52

The lowest price per pound is $1.42. Therefore, this is the current week's best deal.

The last week's best deal was = $`1.60/pound

The difference between the unit price for previous week's best deal and this week's best deal = $1.60 - $1.42 = $0.18

Therefore, 18 cents.

8 0

3 years ago

Find the geometric mean between each pair of numbers. sq root 49 and sq root841

vodomira [7]

Answer:

The geometric mean between each pair of numbers $\bold{\sqrt{49} \text { and } \sqrt{841} \text { is } 14.24}$

Solution:

The Geometric mean between two numbers a and b is given as Geometric mean = $\bold{\sqrt{ab}}$ --- eqn 1

The Geometric Mean is a special type of average where we multiply the numbers together and then take a square root for the numbers.

From question, given that two numbers are $\sqrt{49} and \sqrt{841}$

Hence we can say “a” = $\sqrt{49}$ =7

Similarly “b” = $\sqrt{841}$ = 29

We have to find the geometric mean between “7” and “29”

By using equation 1,

Geometric mean between 7 and 29 = $\sqrt{7 \times 29} = \sqrt{203}$ = 14.24

Hence the geometric mean between $\sqrt{49} \text { and } \sqrt{841} \text { is } 14.24$

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3 years ago

Find the number of terms, n, in the arithmetic series whose first term is 13, the common difference is 7, and the sum is 2613.

siniylev [52]

Answer:

Step-by-step explanation:

Recall that the sum of an arithmetic series is given by:

$\displaystyle S = \frac{n}{2}\left(a + x_n\right)$

Where n is the number of terms, a is the first term, and x_n is the last term.

We know that the initial term a is 13, the common difference is 7, and the total sum is 2613. Since we want to find the number of terms, we want to find n.

First, find the last term. Recall that the direct formula for an arithmetic sequence is given by:

$x_n=a+d(n-1)$

Since the initial term is 13 and the common difference is 7:

$x_n=13+7(n-1)$

Substitute:

$\displaystyle S = \frac{n}{2}\left(a + (13+7(n-1)\right)$

We are given that the initial term is 13 and the sum is 2613. Substitute:

$\displaystyle (2613)=\frac{n}{2}((13)+(13+7(n-1)))$

Solve for n. Multiply both sides by two and combine like terms:

$5226 = n(26+7(n-1))$

Distribute:

$5226 = n (26+7n-7)$

Simplify:

$5226 = 7n^2+19n$

Isolate the equation:

$7n^2+19n-5226=0$

We can use the quadratic formula:

$\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a = 7, b = 19, and c = -5226. Substitute:

$\displaystyle x =\frac{-(19)\pm\sqrt{(19)^2-4(7)(-5226)}}{2(7)}$

Evaluate:

$\displaystyle x = \frac{-19\pm\sqrt{146689}}{14} = \frac{-19\pm 383}{14}$

Evaluate for each case:

$\displaystyle x _ 1 = \frac{-19+383}{14} = 26\text{ or } x _ 2 = \frac{-19-383}{14}=-\frac{201}{7}$

We can ignore the second solution since it is negative and non-natural.

Therefore, there are 26 terms in the arithmetic series.

Our answer is A.

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2 years ago

If a chicken eats 7 food pellets every 10m, and sleeps for 12h, how many pellets would you need for a week and what is the equat

Firdavs [7]

Answer:767

Step-by-step explanation:

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2 years ago