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Basile [38]
3 years ago
13

What number needs to be added to 5 and 3 so that the ratio of the first number to the second

Mathematics
1 answer:
Mashcka [7]3 years ago
5 0

Answer:

3

Step-by-step explanation:

Choose a variable to represent the number to be added to 5 and 3.

\frac{5+x}{3+x}=\frac{4}{3}

"Cross-multiply."

3(5+x)=4(3+x)\\\\15+3x=12+4x\\\\15=12+x\\\\3=x

Check:  The ratio of 5+3 to 3 + 3 is 8:6, equal to the ratio 4:3.

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Analyze a graph In Exercise,analyze and sketch the graph of the function.Label any relative extrema, points of inflation,and asy
ZanzabumX [31]

Answer:

Step-by-step explanation:

Given is a function f(x)

f(x) = e^x -e^{-\frac{{x}}{2}

We have to analyse and sketch the graph

X intercept : Put y =0, we get x=0

Y intercept: Put x =0 , we get y =0

No exception for x or y and hence set of all real numbers is domain and range.

f'(x) = (e^x +1/2 e^{-\frac{{x}}{2})

f' becomes 0 not at finite points

So relative extreme

Graph is sketched and attached

8 0
4 years ago
There is a bag filled with 5 blue and 4 red marbles.
Delvig [45]

Answer:

8/18=4/9

Step-by-step explanation:

since it there is 1/6 for red marbles and 5/18 for blue marbles it works because it is 8*9=72 for the denominator and 4*3=12 so it is 12/72=1/6 and for blue it is 5/18 because it is 5*4=20 and 20/72=10/36=5/18 so it is 1/6+5/18=8/18=4/9

4 0
3 years ago
4x:3 = 6:5 calculate the value of x
My name is Ann [436]

Answer:

-2

Step-by-step explanation:

4x:3=6:5.

4x/3=6/5

4x × 5=6×3

20 X=18

X=18-20

X=-2

4 0
2 years ago
It will take Adam four hours to drive to Disney Park, and 2.5 times less time if driving 45 mph faster. What is the distance Ada
Travka [436]

Answer:

120 miles

Step-by-step explanation:

we know that

The speed is equal to the distance divided by the time

Let

s------> the speed in mph

d-----> the distance in miles

t -----> the time in hours

s=d/t

solve for the distance

d=s*t

<em>It will take Adam four hours to drive to Disney Park</em>

s=x mph

t=4 h

substitute

d=4x -----> equation A

<em>It will take Adam 2.5 times less time if driving 45 mph faster</em>

so

s=(x+45) mph

t=4/2.5=1.6 h

substitute

d=1.6(x+45) -----> equation B

equate equation A and equation B

4x=1.6(x+45)

Solve for x

4x=1.6x+72

4x-1.6x=72

2.4x=72

x=30 mph

Find the distance d

d=4x -----> d=4(30)=120 miles

3 0
3 years ago
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Expand the function f(x)=(3x+2)
Usimov [2.4K]

Answer:

81x^4+216x^3+216x^2+96x+16

Step-by-step explanation:

6 0
3 years ago
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