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Temka [501]
3 years ago
13

Betsy caught three fish. The weights of the fish were 3 lb 2 oz, 2 lb 11 oz, and 2 lb 8 oz. What was the total weight of the thr

ee fish?
Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0

Answer:

8 lbs 5 oz

Step-by-step explanation:

When you add 3 lbs, 2 lbs, and 2 lbs you get 7 lbs.

There are 16 oz in a lb. When you add the number of oz you get 21 oz which is the same as 1 lb and 5 oz.

you then add 7 lbs to 1 lb and 5 oz and get 8 lbs and 5 oz.

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The expression 100 + 20m100+20m100, plus, 20, m gives the volume of water in Eduardo's pool (in liters) after Eduardo spends mmm
hodyreva [135]

Answer:

205 litres

Step-by-step explanation:

Given:

Volume of water is given as:

V=100+20m (in litres)

<em>m</em> is the time in minutes spent filling water in Eduardo's pool.

To find:

Volume of water in the pool after the water is filled for 5\frac{1}{4} minutes.

Solution:

Here, volume of water in the Pool (in litres) is given by the equation:

V=100+20m ....... (1)

Where m is the time for which Eduardo fills the pool.

Here, we are also given that

m = 5\frac{1}{4} minutes = \frac{5\times4+1 }{4}=\frac{20+1}{4}=\frac{21}{4} minutes

And we have to find the value of V after \frac{21}{4} minutes.

Let us put the value of m as \frac{21}{4} minutes in the equation (1) to find the value of V.

V=100+20m\\\Rightarrow V = 100 + 20 \times \frac{21}{4}\\\Rightarrow V = 100+105\\\Rightarrow \bold{V = 205\ litres}

So, the volume of water in the pool after \frac{21}{4} minutes is <em>205 litres.</em>

7 0
3 years ago
The volume of this rectangular prism is 8 cubic feet. What is the surface area?
Nataliya [291]

Answer:

28

Step-by-step explanation:

V = 4 * 1 * b = 8

b = 2

SA = 2(4 + 1) * 2 + 2(4)1)

SA = 28

Answer: 28 ft²

4 0
2 years ago
Read 2 more answers
Simplify and find the perimeter of the triangle
lbvjy [14]

Answer:

2x - 19

Step-by-step explanation:

Perimeter = sum of sides

First let's simplify each side

We can simplify each side by using distributive property. Distributive property is where you multiply the number on the outside of the parenthesis by the numbers on the inside of the parenthesis.

2(x + 5)

Distribute by multiplying x and 5 by 2

2 * x = 2x and 2 * 5 = 10

2x + 10

1/2(4x + 8)

Distribute by multiplying 4x and 8 by 1/2

1/2 * 4x = 2x and 1/2 * 8 = 4

2x + 4

-3(2x + 11)

Distribute by multiplying 2x and 11 by -3

-3 * 2x = -6x

-3 * -33

-6x - 33

Finally add all the simplified expressions ( remember that they represent the side lengths of the triangle )

2x + 10 + 2x + 4 - 6x - 33

Combine like terms

2x + 2x - 6x = -2x

10 + 4 - 33 = -19

Perimeter: -2x - 19

7 0
2 years ago
Read 2 more answers
Inverse of y equals 12 to the x
e-lub [12.9K]

Answer:

f^{-1}(x) = log_{12}(y)

Step-by-step explanation:

We have the following function

y = 12^x, and we need to find the inverse function.

To find the inverse function we should solve the equation for "x". To do so, first, we need to:

1. Take the logarithm in both sides of the equation:

lg_12 (y) = log _12 (12^x)

(Please read lg_12 as: "Logarithm with base 12")

From property of logarithm, we know that lg (a^b) = b*log(a)

Then:

lg_12 (y) = x*log _12 (12)

We also know that log _12 (12) = 1

Then:

x = log_12(y).

Then, the inverse of: y= 12^x is:

f^{-1}(x) = log_{12}(y)

5 0
3 years ago
Find the limit of the function by using direct substitution.
serg [7]

Answer:

Option a.

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

Step-by-step explanation:

You have the following limit:

\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}

The method of direct substitution consists of substituting the value of \frac{\pi}{2} in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing x=\frac{\pi}{2}

Therefore:

\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}

cos(\frac{\pi}{2})=0\\

By definition, any number raised to exponent 0 is equal to 1

So

\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\

\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1

Finally

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

6 0
3 years ago
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