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nexus9112 [7]
3 years ago
6

At the start of a tennis match Ivan had 28/32 quart of water in his water bottle. He drank water from the bottle during the matc

h at the end of the match 1/4 quart of water remained in the bottle What fraction of a quart of water did Ivan drink during a match
Mathematics
1 answer:
const2013 [10]3 years ago
5 0

Answer:

5/8 of a quart.

Step-by-step explanation:

That would be 28/32 - 1/4

= 28/32 - 8 /32

= 20/32  

= 5/8 of a quart.

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For f left parenthesis x right parenthesis equals StartRoot x EndRoot and g left parenthesis x right parenthesis equals 4 x plus
lara31 [8.8K]

Answer:

Step-by-step explanation:

Given that there are two functions f and g as

f(x) = \sqrt{x} \\g(x) =4x+9

We have to find the composition of functions.

Composition functions are calculated as the first function inside bracket and then the outside function of answer inside.

a)fog= f{g(x)} =f(4x+9) = \sqrt{4x+9}

b) gof = g{f(x)} = g(\sqrt{x} )=4\sqrt{x} +9

c) fof = f(\sqrt{x} ) = \sqrt[4]{x}

d) gog = g(4x+9) = 4(4x+9)+9\\= 16x+45

4 0
3 years ago
Pls help me with this question ASAP
WINSTONCH [101]

Answer:

8

Step-by-step explanation:

(3+5)^2/8=(8)^2/8=64/8=8

5 0
3 years ago
Read 2 more answers
What is the equation of the line, in general form, that passes through the point (1,1) and has a y-intercept of 2.
guajiro [1.7K]

Answer:

<h2>x + y - 2 = 0</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept.

Put the given y-intercept b = 2 and the coordinates of the point (1, 1) to the equation:

1=1m+2            <em>subtract 2 from both sides</em>

-1=m\to m=-1

The equation of a line:

y=-1x+2\to y=-x+2

The general form of an equation of a line:

Ax+By+C=0

Convert:

y=-x+2          <em>add x to both sides</em>

x+y=2         <em>subtract 2 from both sides</em>

x+y-2=0

4 0
3 years ago
Keep answers as exact as possible (NOT IN TERMS OF PI). <br><br>​
Andreyy89

Answer:

121.9

Step-by-step explanation:

I will use pi but not in the answer

use formula V=πr²h

(π)(3.5²)(5.5)

12.25 × 5.5=67.375 × π=211.6648...

1/2(4/3(π(3.5³))

4/3(42.875)=57.166...× π = 179.59438...

1/2(179.59438...) = 89.79719...

211.6648... - 89.79719...  = 121.86761... ≈ 121.9

6 0
3 years ago
A grapefruit has a peel that is 1cm thick and a total diameter of 12cm. What percentage of volume of the grapefruit is the peel?
ira [324]

Answer:

0.3056 or 30.56%

Step-by-step explanation:

The volume of the grapefruit with the peel is:

V_p=\frac{4 \pi (d/2)^2}{3}\\V_p=\frac{4 \pi (12/2)^2}{3}\\V_p=48 \pi

When removing the peel, the grapefruit diameter becomes 10 cm (take out 1 cm of peel from each side). The volume of the grapefruit without the peel is:

V_n=\frac{4 \pi (d/2)^2}{3}\\V_n=\frac{4 \pi (10/2)^2}{3}\\V_n=33.333 \pi

The percentage of the volume correspondent to the peel is given by the difference between both volumes, divided by the total volume:

\%P = \frac{48\pi - 33.333\pi}{48\pi}\\ \%P =0.3056 = 30.56\%

30.56% of volume of the grapefruit is the peel.

4 0
3 years ago
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