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3 years ago

3 1/3 written as a fraction over 100.

Mathematics

1 answer:

V125BC [204]3 years ago

5 0

Answer:

32.1/100

Step-by-step explanation:

31.3=31.3/100

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Write a unit rate for each statement c) 13 bottles of juice for $3.49

Klio2033 [76]

Answer:

12 miles

Step-by-step explanation:

30 miles÷2.5 hours

30 miles ÷2.5

2.5 hours ÷2.5

12 miles = 1 hour

12 miles per hour

4 0

3 years ago

Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)

DiKsa [7]

Answer:

Step-by-step explanation:

We must compute the derivatives and check if the equation is satisfied.

A. $y'=(3\sin x)'=3\cos x$ . Differentiate again to get $y''=(3\cos x)'=-3\sin x$ , then $y''+y=-3\sin x+3\sin x=0\neq 3\sin x$ so this choice of y doesn't solve the equation.

B. $y'=3\sin x+3x\cos x-5\cosx +5x\sin x=(5x+3)\sin x+(3x-5)\cos x$ and $y''=5\sin x+(5x+3)\cos x+3\cos x-(3x-5)\sin x=(10-3x)\sin x+(5x+6)\cos x$ , then $y''+y=10\sin x+6\cos x\neq 3\sin x$ so y is not a solution

C. $y'=\frac{-3}{2}\cos x+\frac{3}{2}x\sin x$ hence $y''=\frac{3}{2}\sin x+\frac{3}{2}\sin x+\frac{3}{2}x\cos x=3\sin x+\frac{3}{2}x\cos x$ . Then $y''+y=3\sin x+\frac{3}{2}x\cos x-\frac{3}{2}x\cos x=3\sin x$ so y is a solution.

D. $y'=-3\sin x$ and $y''=-3\cos x$ , then $y''+y=0$ thus y isn't a solution

E. $y'=\frac{3}{2}\sin x+\frac{3}{2}x\cos x$ hence $y''=\frac{3}{2}\cos x+\frac{3}{2}\cos x-\frac{3}{2}x\sin x=3\cos x-\frac{3}{2}x\cos x$ . Then $y''+y=3\cos x-\frac{3}{2}x\cos x-\frac{3}{2}x\cos x=3\cos x\neq 3\sin x$ then y is not a solution.

3 0

3 years ago

8 times the sum of a number and 26 is less than 304.

Jlenok [28]

Answer:

x < 12

Step-by-step explanation:

So 8 times the sum of a number and 26 is less than 304. To find the number, lets write a equation where the "number" is x.
8 times the sum of a number and 26 can be written as 8 * x+26, however since the sum of x and 26 are being multiplied, we write this as 8(x+26). Since 8 times the sum of a number and 26 is less than 304, we set 8(x+26) to < 304. This gives us our equation:

8(x+26) < 304

Lets start to solve for x by dividing by 8, giving us:

x+26 < 38

Now lets isolate x by subtracting 26 from both sides, which gives us our answer:

x < 12

So x is less than 12.

Hope this helps!

7 0

1 year ago

Math problem help please

Harman [31]

Answer:

One ordered pair would be (1, -6).

Step-by-step explanation:

Let x = 1, then

3(1) - y = 9

-y = 9 - 3 = 6

y = -6.

5 0

3 years ago

Read 2 more answers

A company is having business cards printed. The cost to design the business card is $20. There is an additional cost of $0.05 pe

alekssr [168]

Answer:

It would be D,

Step-by-step explanation:

D. Use your equation to determine the total cost of 600 business cards.

3 0

3 years ago