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3 years ago

What is the percent of change?

Mathematics

1 answer:

Simora [160]3 years ago

5 0

Hi there!

In order to find the percent of change, we need to divide 3/8 by 7/8.

$\frac{3}{8} \div \frac{7}{8} = \frac{3}{8} \times \frac{8}{7} = \frac{3}{7} = 43\%$
Hope this helps!

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What is the unit rate of 405 miles in 8 hours?

Arisa [49]

50.625 miles per hour

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3 years ago

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11. Find the sum of the arithmetic series. overset [22] underset{k=1}\huge{Sigma) (-4k - 13) =

sergiy2304 [10]

Answer:

okay, we need to add up for all k=1 till k=22

we could do it like this

(-4*1 -13) + (-4*2 -13) + (-4*3 -13) + ...

but this is long and boring, so we need another valid, yet vastly faster method to calculate this sum

we know that the "-13" part will occur 22 times, so let's write this component as "-13*22"

the -4k gents bigger with each step, k will take all the natural numbers from 1 to 22

so we could write

"-4 * (1+2+3+4+5+6+7...+21+22l

alot simpler and faster, but not fast enough

let's add up all numbers from 1 to 22 into one number

1 + 22 = 23

2 + 21 = 23

3 + 20 = 23

...

this works eleven times (bc we use up 2 numbers in each step), so the numbers from 1 to 22 added up are just

23*11= 230+23 = 252

now let's construct the final calculation

-4 * 252 -13*22 = -1294

there's your sum.

hope it helps you overall.

brainliest would be very kind ic some else leaves an answer, may it be just a greeting

4 0

3 years ago

If angle 1 and angle 2 are complementary angles and if the measures of angle 1 is 8 more than the measure of angle 2 determine t

babunello [35]

Answer:

41° and 49°

Step-by-step explanation:

Given:

Angle 1 and angle 2 are complementary angles.

The measures of angle 1 is 8 more than the measure of angle 2.

Question asked:

Determine the measures of angle 1 and 2.

Solution:

Let ∠1 = $x$

Then ∠2 = $x+8$ (given)

As we know that sum of complementary angles are 90° and here given that angle 1 and angle 2 are complementary angles which means,

∠1 + ∠2 = 90°

$x+x+8=90$ °

$2x +8=90$ °

Subtracting both sides by 8,

$2x=90$ ° $-8$

$2x = 82$ °

Dividing both sides by 2,

$x=41$ °

∠1 = $x=41$ °

∠2 = $x+8$

∠2 = $41+8$ = 49°

Therefore, the measures of angle 1 and 2 are 41° and 49°

3 0

3 years ago

4(3x + 2) =16x + 7 -4x + 1

GrogVix [38]

Answer:

All real numbers are solutions.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(3x+2)=16x+7−4x+1

(4)(3x)+(4)(2)=16x+7+−4x+1(Distribute)

12x+8=16x+7+−4x+1

12x+8=(16x+−4x)+(7+1)(Combine Like Terms)

12x+8=12x+8

Step 2: Subtract 12x from both sides.

12x+8−12x=12x+8−12x

8=8

Step 3: Subtract 8 from both sides.

8−8=8−8

0=0

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3 years ago

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What two integers are between the square root of 62

riadik2000 [5.3K]

Answer:

The two integers the square root of 62 falls between are 7, and 8.

Step-by-step explanation:

the square root of 62 is 7.874.... so the numbers that it is between are 7 and 8 because its more than 7 but less than 8

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3 years ago