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3 years ago

What is the answer for all of them

Mathematics

1 answer:

Eva8 [605]3 years ago

3 0

Answer going from left to right, top to bottom

47,77,20,31,78

84,60,72,11,47

60,96,99,11,19

14,39,76,93,77

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Curt and Ian both ran a mile. Curt time was 8/9 of Ian time. Who ran faster?

Leona [35]

Curt because if his time was 8/9 of Ian's time then that means he ran the mile in a fraction of Ian's time, so he finished the mile quicker. Curt ran faster.

5 0

3 years ago

Read 2 more answers

What is the solution to 2(-4x+1)=2/3(x+2)

Rzqust [24]

Hello!

The answer to your problem is: $x=1/13$

Simplify both sides of the equation

$(2)(-4x)+(2)(1)=(2/3)(x)+(2/3)(2)$ $(Distribute)$

$-8x+2=2/3x+4/3$

Subtract 2/3x from both sides

$-8x+2-2/3x=2/3+4/3-2/3x$

$-26x+2=4/3$

Subtract 2 from both sides

$-26/3x+2-2=4/3-2$

$-26/3=-2/3$

Multiply both sides by 3/(-26)

$(3/26)*(-26/3x)=(3/-26)*(-2/3)$

Get your answer

$x=1/13$

Hope This Helps!

8 0

3 years ago

An airport offers two shuttles that run on different schedules. If both shuttles leave the airport at 4:00 p.m., at what time wi

mario62 [17]

Basically, we need to find the lowest common multiple of 6 and 9....and that would be 18.

so 18 minutes from 4 p.m. is 4:18 p.m. <===

4 0

3 years ago

Read 2 more answers

I need to get the left side to equal the right side. Keeping the right side alone and not changing it.

likoan [24]

To prove the trigonometric equation:

$\sin ^{3} x+\cos ^{3} x=(\sin x+\cos x)(1-\sin x \cos x)$

$RHS=(\sin x+\cos x)(1-\sin x \cos x)$

We know that $\sin^2x +\cos^2x=1$ , substitute this in place of 1.

$=(\sin x+\cos x)(\sin^2x +\cos^2x-\sin x \cos x)$

Multiply each term of the first term with each term of the 2nd term.

$=\sin^3x + \sin x \cos^2x-\sin^2 x \cos x+\cos x \sin^2 x + \cos^3 x-\sin x\cos^2 x$

Group like terms together.

$=\sin^3x +( \sin x \cos^2x-\sin x\cos^2 x)+(\cos x \sin^2 x-\sin^2 x \cos x) + \cos^3 x$

$=\sin^3x +( 0)+(0) + \cos^3 x$

$=\sin^3x + \cos^3 x$

= LHS

RHS = LHS

$\sin ^{3} x+\cos ^{3} x=(\sin x+\cos x)(1-\sin x \cos x)$

Hence proved.

7 0

3 years ago

Tina lives in a state that charges her 4.5% state income tax on her federal taxable income. If her federal taxable income is $61

Irina-Kira [14]

$ 2772 is paid in state income tax

Solution:

Given that, Tina lives in a state that charges her 4.5% state income tax on her federal taxable income

Federal taxable income = $61,600

To find: Amount paid by Tina in state income tax

Tax rate = 4.5 %

Which means, 4.5 % of $61,600 is paid as tax

$Tax\ Rate = 4.5 \% \text{ of } 61600$

Here, "of" means multiplication or product

$Tax\ Rate = 4.5 \% \times 61600\\\\Tax\ Rate = \frac{4.5}{100} \times 61600\\\\Tax\ Rate = 0.045 \times 61600\\\\Tax\ Rate = 2772$

Thus $ 2772 is paid in state income tax

7 0

3 years ago