2 years ago

68/100 as a fraction? 5/10 as a fraction?

Mathematics

1 answer:

horsena [70]2 years ago

8 0

Answer:

68/100 - 17/25

5/10 - 1/2

Step-by-step explanation:

You have to simplify both into lowest term.

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Evaluate the integral. (Use C for the constant of integration.) cos(x) (8 + 7 sin^2(x)) dx

UNO [17]

Answer: $8 \sin x +7(\dfrac{\sin^3x}{3})+C$

Step-by-step explanation:

Consider $\int \cos(x) (8+7 \sin^2(x)) \, dx$

Substitute t= sinx

then dt = cos x dx

$\int \cos(x) (8+7 \sin^2(x)) \, dx = \int (8+7t^2)dt\\\\ =8t+7(\dfrac{t^3}{3})+C$

$[\int x^ndx=\dfrac{x^{n+1}}{n+1}+C]$

$=8 \sin x +7(\dfrac{\sin^3x}{3})+C$

Hence, $\int \cos(x) (8+7 \sin^2(x)) \, dx=8 \sin x +7(\dfrac{\sin^3x}{3})+C$

5 0

2 years ago

-2(3x+9)=-54 AND 2(3x+4) -3x=35 SHOW WORK PLEASE

Naily [24]

Answer:

1. x=6

2. x=9

Step-by-step explanation:

$-2(3x+9)=-54\\-6x-18=-54\\+18 +18\\-6x=-36\\\frac{-6x}{-6} = \frac{-36}{-6}\\x=6$

$2(3x+4)-3x=35\\6x+8-3x=35\\3x+8=35\\-8 -8\\3x=27\\\frac{3x}{3} =\frac{27}{3} \\x=9$

Written Explanation:

-2x(3x+9)=-54

-6x-`8=54 (Distributive property)

Add 18 to both sides

-6x=-36

Divide both sides by -6 (negative divided by a negative equals a positive)

x=6

2(3x+4)-3x=35

6x+8-3x=35 (distributive property)

3x+8=35 (combine Iike terms and then subtract them 6x-3x=3x)

Subtract 8 from both sides

3x=27

Divide both sides by 3

x=9

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3 years ago

Provide on equivalent ratio. Show your work....

tiny-mole [99]

Answer:

VHV

Step-by-step explanation:

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2 years ago

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Write an equation for this situation: The cost of renting a car is $30 per day.

Luba_88 [7]

Cost: $30
x: amount of days
y=30x

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2 years ago

The manager of cups r us handed out 125 coupons to his customers on monday, c coupons to his customers on tuesday, and 220 coupo

andrey2020 [161]

125+220+c=x
345+c=x
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3 years ago