simplify and write in exponential form (5⁶÷5⁸)³×5^-3​

Answer:

x=21

Step-by-step explanation:

Hello There!

In order to find the value of x we need to find the value of y

The angle labeled y and the right angle are vertical angles with the angle labeled 5y +10 therefore they are congruent

so y+90=5y+10

step 1 subtract y from each side

5y-y=4y

now we have

90=4y+10

step 2 subtract each side by 10

90-10=80

now we have

80=4y

step 3 divide each side by 4

80/4=20

so y =20

now we plug in y to (5y+10)

5x20=100

100+10=110

So now we can find x

The angle labeled 3x+7 is supplementary with the angle that is equal to 110

meaning that the sum of the two angles equal 180

so 180 = 3x+110+7

step 1 combine like terms

110+117

now we have

180=3x+117

step 2 subtract each side by 117

180-117=63

now we have 3x=63

step 3 divide each side by 3

63/3=21

so we can conclude that x = 21

Answer:

x = 21°

Step-by-step explanation:

y = 180° - 90° - (3x+7)°

y = 83° - 3x

(5y + 10) and (3x + 7) are supplementary angles (their sum is 180°) so:

(5y + 10) + (3x + 7) = 180°

reduce:

5y + 3x = 163°

substitute for y:

5(83° - 3x) + 3x = 163°

415° - 15x + 3x = 163°

reduce:

-12x = -252

divide both sides by -12:

x = 21°

y = 83° - 3(21°) = 20°

check:

(5(20) + 10) + (3(21) + 7) = 180°

110° + 70° = 180°

Answer:

0,-1

Step-by-step explanation:

Answer:

18

3/4 equals to .75 if you multiply .75 with 21 you get 18

Answer: 72 ft

Step-by-step explanation:

Given

The width of a post is [tex]w=6\ in.[/tex]

Posts are separated by [tex]5\ ft[/tex] chain

for 2 posts, length is [tex]6+5+6=17\ ft[/tex]

for 3 posts, length is [tex]6+5+6+5+6=28\ ft[/tex]

for 4 posts, it is [tex]28+5+6=39[/tex]

i.e. 11 ft is adding on the addition of another post

for 7 posts it is [tex]17+11\times 5=72\ ft[/tex]

Thus, the total length of the fence is [tex]72\ ft[/tex]

Answer:

very cute

Step-by-step explanation:

Ian even know him until now but he mad fine

Answer:

32

Step-by-step explanation:

I'll assume they're vertical angles

5x - 13 = 2x + 14

3x = 27

x = 9

<ABC:

5x - 13

5(9) - 13

32

Answer:

L.49

NO EXPLANATION

Answer:

$24

Step-by-step explanation:

$36 divided by 3 = 12

12 x 2 = 24

24 = 2/3 of 36

Answer:B

Step-by-step explanation:

Given:

The phrase is "six times a number is less than negative thirty-nine and three-quarters".

To find:

The inequality represented by the given phrase.

Solution:

Let x be the unknown number.

Six times a number is "6x".

Less than is "<".

Negative thirty-nine and three-quarters is "[tex]-39\dfrac{3}{4}[/tex]".

So, six times a number is less than negative thirty-nine and three-quarters is:

[tex]6x<-39\dfrac{3}{4}[/tex]

Therefore, the correct option is C.

Answer:

"six times a number is less than negative thirty-nine and three-quarters".

Step-by-step explanation:

or C

Answer:

Part A: He spends an average of $8.50 per day

Part B:  He would save $17 per week

Step-by-step explanation:

Answer:

triangle

Step-by-step explanation:

Answer:

35+28=31

Step-by-step explanation:

Answer:

money market, savings account, and term CD.

Step-by-step explanation:

2100×.12×3=1344 2800×.04×3=2464 and 2520x.05×3=2142

Answer:

1.) $2,520 in a savings account that yields

interest of 5% per year.

2.) $2,100 in a money market account that

yields 12% per year.

3.) $2,800 in a term CD that yields interest of

4% per year.

This answer is the correct, I just got done doing this question my second time.

Step-by-step explanation:

She woke up at 6:30 am

am is in the morning from 12:01am at midnight to 12:00 am in the afternoon

pm is the afternoon/evening which is from 12:01 pm in the afternoon and it goes until 12:00 pm at midnight.

Hope that helps :)

Answer:

Step-by-step explanation:

So if she woke up at more than 6:30 it is in the a.m because she woke up in the morning .

Answer: Option 3 40/41

Step-by-step explanation:

Sin of angle A means the opposite over hypotenuse. The opposite of Angle A is 40 and the hypotenuse is 41 so SinA is 40/41

Answer:

option 3:  [tex]\frac{40}{41}[/tex]

Step-by-step explanation:

SOH CAH TOA

sine = [tex]\frac{opposite}{hypotenuse}[/tex]

sine A = [tex]\frac{40}{41}[/tex]

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

9600 kilobytes

Step-by-step explanation:

"of" means to multiply, so 0.3 times 32000 is 9600

Answer:

∠K = 78.75°

Step-by-step explanation:

since complimentary, ∠K + ∠L = 90°

K = 7L

substitute for K:

7L + L = 90

8L = 90

∠L = 11.25°

∠K = 90° - 11.25° = 78.75°

Answer:

34

Step-by-step explanation:

:)

Answer:

34

Step-by-step explanation:

Remember that the sum of the angles of a triangle is 180

And since two sides are congruent b = 73

So 180-(73+73) = 34

Answer:

C. 10 and 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

im not sure but i think that you can either say theat you can turn the freaction into a percentage or turn the percentage into a fraction and then you can start comapring them  i hope it helps?

Answer:

first the fraction should be converted in percent.

later both the percent can compared..

Answer:

4 cups

Step-by-step explanation:

Number of cups of milk for 5 servings = [tex]2\frac{1}{2} =\frac{5}{2}[/tex] cups

First find number of cups of milk for 1 serving.

Number of cups of milk for 1 serving = [tex]\frac{\frac{5}{2} }{5}=\frac{1}{2}[/tex] cup

Now find umber of cups of milk for 8 servings.

Therefore,

Number of cups of milk for 8 servings = [tex]8(\frac{1}{2})=4[/tex] cups

Correct Question:

Otero translated the phrase "three less than a number" into the expression 3 minus x. Which best describes the accuracy of Otero's expression?.

a. It is accurate. The phrase can be translated as "three" = 3, "less than" = subtraction, and "a number" = X, SO 3- X is the correct expression.

b. It is inaccurate. Three is being subtracted from a number, so X-3 is what he should have written.

c. It is inaccurate. Three is being compared to a number, so 3 It is inaccurate. Three is being added to a number, so 3+ x is what he should have written.

Answer:

The answer is B because three less than a number means that a 3 is less than some number X meaning three is being subtracted from X. So equation should be X-3 rather than 3-X.

Step-by-step explanation:

Answer:

The answer is c i just took this test lol

Step-by-step explanation:

have a good day :)

Answer:

Step-by-step explanation:

B

Answer:

C

Step-by-step explanation:

$232.94 * 9.25% = 21.54694

21.54694 rounds up to 21.55

21.55/12 = 1.7958333333

1.7958333333 rounds up to 1.80

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This is a late answer but other people might need it :)

I put B as my answer and I got it wrong, I tried again and put C and got it right.

Answer:

234 mm²

Step-by-step explanation:

area of each side = L x W

(15 x 3 x 2) + (15 x 4 x 2) +(3 x 4 x 2) = 234 mm²

Answer:

2.64cm

Step-by-step explanation:

A = π r^2

5.5 = π r^2

1.75 = r^2

r = 1.32

Diameter is then 2(1.32) = 2.64

Answer:

2.65 cm to the nearest hundredth

Step-by-step explanation:

A = πr^2 = 5.5

r^2 = 5.5/ π = 1.5707

r = 1.3231

Diameter = 2 * r

= 2.6462.

Answer:

Yes

Step-by-step explanation:

The smaller two sides have to be greater than the biggest side.

2+8>9, so it can make a triangle.

Answer:

The number 5 units to the left of -4 is;

[tex] - 9[/tex]

Step-by-step explanation:

We want to number 5 units to the left of -4 on a number line.

Drawing the number line we have;

Therefore, The number 5 units to the left of -4 is;

[tex] - 9[/tex]