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3 years ago

(4 x 10,000) + (2 x 1,000) + (9 x1 00) + (4 x 1 0) + (6 x 1) + (3 x 0.1) + (7 x 0.01) in standard form

Mathematics

1 answer:

djverab [1.8K]3 years ago

3 0

Answer:

42,946.37

Step-by-step explanation:

you put it on a place value chart.Then you put the decimals in the correct spot.Finally you got your answer

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You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

On a number line, point D is at -3, and point E is at 6. The point F lies on DE. The ratio of DF to FE is 2:3. Where does point

expeople1 [14]

Answer: point F is at <u> 0.6 </u> on the number line

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Explanation:

The ratio 2:3 scales up to 2x:3x for some positive real number x.

This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.

D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9

Set this equal to the 5x from earlier and solve

5x = 9

x = 9/5

x = 1.8

This leads to 2x = 2*1.8 = 3.6

Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.

Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.

5 0

2 years ago

A metal bar is 7 5/8 inches long. If 9/32 inches is cut off one end, how long is the bar after the cut?

Blizzard [7]

7 11/32 inches i do believe

8 0

2 years ago

Read 2 more answers

Do u just plot the numbers on the graph like (1,26)???

kvv77 [185]

Answer:

Yes

Step-by-step explanation:

Make sure you plot each number on the right axis. :)

4 0

3 years ago

Write the ratio as a fraction in simplest form. The ratio for 18 girls to 27 boys as a fraction is .

love history [14]

Answer:

2/3

Step-by-step explanation:

Reduce the fraction 18/27 into its lowest terms

since both 18 and 27 are divisible by 9, divide both terms by 9

18/9 = 2

27/9 = 3

18/27 reduced to lowest terms is 2/3

6 0

3 years ago