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Aleksandr [31]
3 years ago
7

The ratio of the longer side of a rectangle to its

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0

Answer:

28 ft

Step-by-step explanation:

Given,

The ratio of the longer side of a rectangle to its shorter side=4:3

It is said that the length of the shorter side is 21 ft.

Let the longer side be x.

Then,

4:3=x:21

or,4/3=x/21

or,x=(4*21)/3=28 ft. [ANS]

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What's the answer to 1.6(2.5-10)+8.2=???
V125BC [204]

Answer:

-3.8

Step-by-step explanation:

1.6(2.5-10) + 8.2

1.6(-7.5) + 8.2

-12 + 8.2

-3.8

5 0
3 years ago
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I need help with this math problem
vivado [14]
A cannot be the answer.
The maximum distance he can travel is 420 miles. He has gone 180. He still has 420 - 180 = 240 miles left to go.

C The distance is correct in the first set of brackets, but you cannot add distance divided by time (which is a speed) to distance.

D is incorrect. The first set of brackets is correct, but the second set is meaningless. Distances and rates do not mix.

B <<<<< Answer If you divide the remaining distance (240) by the rate (180/3) you get the correct answer of 4 hours.

B <<<< answer. 
4 0
3 years ago
Match solutions and differential equations. Note: Each equation may have more than one solution. Select all that apply. (a) 7y''
Nonamiya [84]

Answer:

a-e^x,e^{-x}

b-x^{-2}

c-x^3

Step-by-step explanation:

a.7 y''-7 y =0

Auxillary equation

D^2-1=0

(D-1)(D+1)=0

D=1,-1

Then , the solution of given differential equation

y=e^x,y=e^{-x}

2.7x^2y''+14xy'-14 y=0

Y=y=x^3

y=3x^2

y''=6x

Substitute in the given differential equation

42x^3+42x^3-14x^3\neq 0

Hence, x^3 is not a solution of given differential equation

e^x,e^{-x} are also not a solution of given differential equation.

y=x^{-2}

y'=-2x^{-3}

y''=6x^{-4}

Substitute the values in the differential equation

7x^2(6x^{-4})+14x(-2x^{-3})-14 x^{-2}

=42x^{-2}-28x^{-2}-14x^{-2}=0

Hence, x^{-2} is a solution of given differential equation.

c.7x^2y''-42y=0

y=x^3

y'=3x^2

y''=6x

Substitute the values in the differential equation

42x^3-42x^3=0

Hence, x^3 is a solution of given differential equation.

a-e^x,e^{-x}

b-x^{-2}

c-x^3

6 0
3 years ago
Read 2 more answers
Kiki has 1/6 pound of blueberries and 5/8 pound of raspberries.
Darina [25.2K]

Answer: Did this all by myself 1/6 is closer to 0 and 5/8 is closer to 1/2 so the answer is 1/2  0 then 1/2 then 1/3 again

Step-by-step explanation:  

1/ 6   -5 /8 =(1 × 4  6 × 4)  – (5 × 3  8 × 3)  = 4 /24  – 15 /24  =  4 – 15  24 = – 11  24

7 0
3 years ago
Make for me number 21 thx
xz_007 [3.2K]

Method One

You could divide by 5 right away.

20/5 = - 3 + x

4 = - 3 + x Add 3 to both sides.

4 + 3 = x

x = 7

Method Two.

You could remove the brackets. This is slightly longer, but some questions can only be solved that way.

20 = 5(-3) + 5x

20 = -15 + 5x Add 15 to both sides

20 + 15 = 5x

35 = 5x Divide by 5

35/5 = x

7 = x

8 0
3 years ago
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