.Write the following number in expanded form using powers of 10: 67.938

Answers

Answer 1

Answer:

67.938 =

(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)

Step-by-step explanation:

Here, we want to write the given number in expanded form

Mathematically that will be ;

60 + 7 + 0.9 + 0.03 + 0.008

Using the power of 10, that will be;

(6 * 10^1) + (7 * 10^0) + (9 * 10^-1) + (3 * 10^-2) + (8 * 10^-3)


Related Questions

Negative 1.5 (4 minus r) = negative 12

Answers

Answer:

r = - 4

Step-by-step explanation:

Given

- 1.5(4 - r) = - 12 ( divide both sides by - 1.5 )

4 - r = 8 ( subtract 4 from both sides )

- r = 4 ( multiply both sides by - 1 )

r = - 4

Answer:

12

Step-by-step explanation:

1.5(4-r) = -12

To solve, first multiply 4-r by 1.5. When you do this, you can then simplify the expression and write it as 6-1.5r=-12.

With the simplified expression, you can solve for r.

Subtract 6 from both sides then divide by -1.5.

-1.5r=-18

r=12

Sarah has 13 gallons of gas in her car at the beginning of a trip. Every hour Sarah drives, she uses 2.5 gallons of gas. Answer the questions below regarding the relationship between the gallons of gas remaining in the tank and the total hours driven. I need A function relating these variables is C(x)=?

(need help kinda quick, pls and thank you!)

Answers

Answer: C(x)=-2.5x+13


Explanation: Since she is using gas, the function will be negative and decreasing. Also the initial amount was 13 gallons, this would be the y-intercept.

The _________________________________ is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

Answers

Answer:

Constant of proportionality

Step-by-step explanation:

There is nothing to explain

I need help I feel like it's right but then again I get confused on these ​

Answers

Answer:

Ye im pretty sure your right

Step-by-step explanation:

13- (8x - 5) – 16x

Help please!

Choose the equivalent equations!

-18x plus 8

-18x plus 57 over 4

18x plus 13 - 5 over 4
-18x plus 13 plus 5 over 4

Answers

Answer:

The answer is 6(3-4x) because I just did on a test

Whats the percent of 550% of 22

Answers

I am sure it’s 121.

Answer:

121

Step-by-step explanation:

Convert 550% into a decimal by moving the decimal point 2 times to the left. 5.5. Then multiply 5.5 x 22 to get 550% of 22.

what is the answer ?​

Answers

Answer:

C and D

Step-by-step explanation:

Now, I'm not 100% sure on this answer. But, these two look the most efficient answers to go for.

I hope this helps you!

A ten pound bag of cherries cost $33.50. How much is one pound of cherries?

Answers

Each pound costs $3.35. Hope this helped
$33.50/10=3.35
so one pound of cherries is $3.35

A farm has chickens and horses. All the horses have 4 legs and all the chickens have 2 legs. All together, there are 94 horses and chicken legs on the farm. Complete the table to show some possible combinations of chickens and horses to get 94 total legs.

number of chickens (x) number of horses (y)
35
7
10
19
5

Answers

Answer:

bears beets battlestar galactica

Step-by-step explanation:

Answer:

37x 5y

Step-by-step explanation:

37×2= 74 and 5×4 is 20 (74 +20)= 94

I need help please #22

Answers

Answer:

8 because u need to divide 40 by 5

What is the y-intercept of the equation?

Answers

Answer:

5

Step-by-step explanation:

Y=-3x+5

the y-intercept would be 5

An auto repair shop took 2.5 hours to fix Jaime’s car. The cost of the parts needed was $93, and the total bill was $248. What did the repair shop charge per hour for labor?

(PLEASE ANSWER!!!)

Answers

Answer:

$62 dollars an hour

Step-by-step explanation:

2.5x+93=248

248-93=155

2.5x=155

155/2.5=x

x=$62 dollars an hour

Helppppppppppppppppppp me Write this rate as a unit rate. 7/5 miles 2/3 hour

Answers

I’m pretty sure this is it: 2.1 miles in 1 hour


7/5 divided by 2/3 equals 20/10 or 2.1

You are just have one big fraction with 7/5 as the numerator (top) and 2/3 as the denominator (bottom)

Hope this helps :)

Students in Mr. Tallow's class are reading a book that has 280 pages. Ramon decides to read 25% of the book each night. How many pages will Ramon read each night?

Answers

Answer:

70

Step-by-step explanation:

280×25%=70 pages per night

Answer:

70

Step-by-step explanation:

What is the slope of the line that passes through the points (-2.5) and (1, 4)

Answers

Answer:

-2/1

Step-by-step explanation:

hope this helps

Tatum exercised for 55 minutes. 10% of that
time was spent warming up. How many
minutes did Tatum spend warming up?

Answers

Answer:

5.5 minutes

Step-by-step explanation:

55/10=5.5

5.5 of 55 is 20%

Or 5 minutes and 30 seconds

PLEASE HELP ME I NEED HELP ITS DUE RIGHT NOW

Answers

Answer:

a

Step-by-step explanation:

Answer:

I think its the number of months

Step-by-step explanation:

It could be the number of months because its kinda independent. If you think about it, the cost is depending on the number of months-(you pay depending on the number of months). It could also be the $30 because it really doesn't depend on anything.

Hope this helps:)

Complete the latter: 1, 5, 9, 13.

Answers

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

The answer is 17 because We noticed that 5 is 4 more than 1, 9 is 4 more than 5, and 13 is 4 more than 9. They are all a +4 pattern so you just simply add 4 to 13 which is 13 + 4 + 17 So our answer is 17

Two sides of a triangle have measures 3 ft and 6 ft. Also, these sides form a vertex whose angle measures 60 degrees. Calculate the missing attributes of the triangle.

Answers

Answer:

A. The length of the third side is approximately 5 feet.

B. A = [tex]88^{o}[/tex], B = [tex]60^{o}[/tex] and C = [tex]32^{o}[/tex].

Step-by-step explanation:

Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.

A. Let side a = 6 feet and c = 3 feet, thus;

[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] - 2ac Cos B

  = [tex]6^{2}[/tex] + [tex]3^{2}[/tex] - 2(6 x 3) Cos [tex]60^{o}[/tex]

  = 36 + 9 - 36 x 0.5

  = 45 - 18

[tex]b^{2}[/tex] = 27

b = [tex]\sqrt{27}[/tex]

  = 5.1962

b  = 5.2 feet

b ≅ 5 feet

The length of the third side is approximately 5 feet.

B. Given that B = [tex]60^{o}[/tex], then let us apply the Sine rule to determined the measure of A.

[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex]

So that,

[tex]\frac{6}{Sin A}[/tex] = [tex]\frac{5.2}{Sin60^{o} }[/tex]

Sin A = [tex]\frac{0.886*6}{5.2}[/tex]

Sin A = 0.99923

A = [tex]Sin^{-1}[/tex] 0.99923

  = 87.75

A ≅ [tex]88^{o}[/tex]

Since the sum of angle in a triangle = [tex]180^{o}[/tex].

Then,

A + B + C = [tex]180^{o}[/tex]

[tex]88^{o}[/tex] + [tex]60^{o}[/tex] + C = [tex]180^{o}[/tex]

[tex]148^{o}[/tex] + C = [tex]180^{o}[/tex]

C = [tex]180^{o}[/tex] - [tex]148^{o}[/tex]

     = [tex]32^{o}[/tex]

C = [tex]32^{o}[/tex]

Thus,

A = [tex]88^{o}[/tex], B = [tex]60^{o}[/tex] and C = [tex]32^{o}[/tex].

Please help, I have nothing good to offer though.

Which inequality is true? 5/6 < -1/3
2 1/3 > 2 1/6
2 < -2 1/3
1 1/4 > 1 1/3

Answers

i think it’s B have a merry christmas

The table below shows the amount of flour needed for each recipe. Sort the list below from
greatest to least amount of flour needed per serving.
Cups of Flour
Serving Size
Recipe A
1
Recipe B
Recipe C

Recipe D
1 2 3 를
Recipe A, Recipe B, Recipe C, Recipe D

Answers

Answer:

d,c,b,a

Step-by-step explanation:

HELP PLEASE what's the slope of the line?

Answers

Step-by-step explanation:

The slope of a line characterizes the direction of aline. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer:

the slope of the line would be 1/2 I think

Find the equation in slope-intercept form that passes through the points (9, 3) and (19, -17).

Answers

Answer:

y=-2x+21

Step-by-step explanation:

use y2-y1/x2-x1 to find the slope so= -17-3/19-9=-20/10=-2

so once you find the slope take one of the points and plug it into the slope-int equation so... if you take (9,3) and take your slope (-2) so it would be: 3=-2(9)+b solve for b to get 21=b as your int. so.. y=-2x+21

square root of 1.6 and 8.2 and 24 and 26

Answers

Square root of 1.6 is 1.265
8.2 —- 2.864
24—— 4.89
26—— 5.09

Hope this helped :)

On a test that has a normal distribution, a score of 41 falls three standard deviations below the mean, and a score of 73 falls one standard deviation above the mean. Determine the mean of this test.

Answers

Answer:

The mean of the test is 65

Step-by-step explanation:

Let the mean be x and SD be y

3 SD BELOW the mean means that we are taking away 3 SD FROM the mean

Mathematically, we have that as;

x - 3y = 41 •••••(i)

73 is 1 SD above mean

Mathematically;

x + y = 73 ••••••••(ii)

So let us solve both equations simultaneously

Simply multiply equation ii by 3 then add to i

x - 3y = 41

3x + 3y =219

4x = 41 + 219

4x = 260

x = 260/4

x = 65

Answer:

its actually 35

Step-by-step explanation:

Ms. Jacobsen is tilling her basement floor. The floor is in the shape of a rectangle with a length of 240 inches and a width of 180 inches. Ms. Jacobson uses tiles that are 1 square foot in size. How many tiles does Ms.Jacobsen need to cover her basement floor?

Answers

Answer:

Total number of tile used = 300

Step-by-step explanation:

Given:

Length of floor = 240 inches = 240 / 12 = 20 ft

Width of floor = 180 inches = 180 / 12 = 15 ft

Size of each tile =  1 square foot

Find:

Total number of tile used

Computation:

Area of floor = 20 x 15

Area of floor = 300 square foot

Total number of tile used = Area of floor / Size of each tile

Total number of tile used = 300 / 1

Total number of tile used = 300

Jaden is flying a kite with an angle of elevation of 33 degrees. If Jaden lets out 275 feet of string, how high above the ground is the kite flying? Round answers to the nearest tenth place.

Answers

Answer:

149.8 feet

Step-by-step explanation:

θ = Angle of elevation = 33°

The length of string Jaden lets out = Hypotenuse = 275 feet.

How high above the ground that the kite is flying = Opposite Side.

We are solving this question using the Trigonometric function of Sine

Sin θ = Opposite Side/Hypotenuse

Sin 33 = Opposite/275 feet

Cross Multiply

Sin 33 × 275 feet = Opposite

Opposite side(Height ) = 149.77573463 feet

Approximately to the nearest tenth = 149.8 feet

ASAP solve 21x+6=300 30 points

Answers

Answer:

x = 14

Step-by-step explanation:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression. 21x+6=300 X=14, 21x14=294+6=300.


URGENT NEED OF HELP PLEASE ILL GIVE BRAINLEST

Answers

Answer:

umm.. I think the answer choices are wrong because the slope is -2.

y = mx + b

y = (slope)x + (y-intercept)

y = -2x + 4

and i have proof!

Step-by-step explanation:

. The units sold follows the equation U = 10000 – 2000P. The money from sales is equal to the units sold times the price P of the unit. Write an equation for sales as a function of price.​

Answers

Given:

The units sold follows the equation

[tex]U = 10000-2000P[/tex]

To find:

An equation for sales as a function of price.​

Solution:

Let S represents the sales function.

We know that, the money from sales is equal to the units sold times the price P of the unit.

[tex]S=U\times P[/tex]

[tex]S=(10000-2000P)\times P[/tex]

Using distributive property, we get

[tex]S=10000P-2000P^2[/tex]

Therefore, the equation for sales as a function of price is [tex]S=10000P-2000P^2[/tex].

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