33 POINTS PLZ. Solve the following equations. a) 2x + 8 = x + 25 + 8 b) 3x + 23 = 2x + 59 c) 5 + 12 = 17 d) 2x - 4 = x + 9 e) 5x - 10 = 4x - 12

Answers

Answer 1

Answer: Hi there!

a)
$2x + 8 = x + 25 + 8$
Collect terms

$2x + 8 = x + 33$
Subtract x

$x + 8 = 33$
Subtract 8

$x = 25$

b)
$3x + 23 = 2x + 59$
Subtract 2x

$x + 23 = 59$
Subtract 23

$x = 26$

c)
$5 + 12 = 17$
This is not an equation, but the sum of 5 and 12 is 17, so it's true.

d)
$2x - 4 = x + 9$
Subtract x

$x - 4 = 9$
Add 4.

$x = 13$

e)
$5x - 10 = 4x - 12$
Subtract 4x

$x - 10 = - 12$
Add 10

$x = - 2$

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Please explain your answer as well!

Answers

Class A     Class B
1 2 3 4 5 6 7 8       4     1 2
      2 3 4 9       5     9
      1 1 4 8       6 2 4 9
       1   7 1 5 7 8 8
      2 5   8 0 3 4 4 6 6 7
   0   9 2 2 5

Mode and Mean for Class A
Mode: 61
Mean: 57.8

Range and Median for Class B
Range: 54
Median: 78

Cory’s average score after 8 tests is 91%. If he gets a 78% on his 9th test what will his new average be?

Answers

The new average will be 89.55%.

What is an average?

The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

It is given that,

Average score after 8 tests = 91%.

Therefore, Total score of 8 tests = Average score*Number of tests

Total score of 8 tests = 91*8

Total score of 8 tests = 728

Now, Cory scored 78% in 9th test,

So, Total score of 9 tests = Total score of 8 tests + 78

Total score of 9 tests = 728 + 78

Total score of 9 tests = 806

Hence, Average score of 9 test = Total score of 9 tests/9

Average score of 9 test = 806/9

⇒ Average score of 9 test = 89.55%

Hence, the new average will be 89.55%.

More about average :

brainly.com/question/15251642

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add all the scores together and the divided by the number of scores there are

8 tests will be 8x91 = 728

Then add on his latest test result 728+78 = 806

Now divide by the number of tests (9) 806/9 = 89.55555555
89.555%

What's 27-18r using distributive property

Answers

The simplified form of expression is 9 (3 - 2r).

Used the concept of distributive property,

The distributive property states that an expression that is given in the form of A (B + C) can be solved as A × (B + C) = AB + AC.

Given that the expression is,

27 - 18r

Apply the distributive property on the expression and it can be written as,

27 - 18r

Since LCM {27, 18} = 9

So, take 9 as a common term,

27 - 18r = 9×3 - 9×2r

= 9 (3 - 2r)

Therefore, the solution of the expression is, 9 (3 - 2r)

To learn more about the distributive property visit:

brainly.com/question/2807928

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The distributive property: a(b - c) = ab - ac

27 - 18r = 9·3 - 9·2r = 9(3 - 2r)

Two buses go from Sacramento to San Diego. The express bus makes the trip in 6.8 hours and the local bus takes 10.2 hours for the trip. The speed of the express bus is 25 mph faster than the speed of the local bus. Find the speed of both buses.

Answers

Answer: Speed of local bus is 50 mph and speed of express bus is 75 mph

Step-by-step explanation:

let say speed of local bus = x

so speed of express bus = x + 25

Distance = Speed × Time

Distance traveled by local bus = x × 10.2 = 10.2x

Distance traveled by express bus = (x + 25) × 6.8

since Distance traveled by local bus is same as Distance traveled by express bus

⇒10.2x = (x + 25) × 6.8

⇒ 10.2x = 6.8x + 170

⇒ 10.2x - 6.8x = 170

⇒ x = 170/3.4 = 50

So Speed of local bus = x = 50 mph

and Speed of express bus = x + 25 = 50 + 25 = 75 mph

A car has a maximum speed of 341.7 feet/second. Convert this speed to miles/hours.

Answers

341.7 feet per second = 232.98 miles per hour (rounded)

Just multiply measure in ft/s by 0.6818 to get mi/h

341.7 x 0.6818 = 232.97 mi/h

Please solve for x:

:)

Answers

Hello!

As you can see, the angles we are given make up a 90 degree angle. We have the equation below.

4x=90

To solve we just divide both sides by 4.

90/4=22.5
x=22.5

I hope this helps!

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