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4 years ago

Write each fraction as a decimal. Use bar notation if necessey.

Mathematics

1 answer:

lions [1.4K]4 years ago

5 0

Think of fractions as an equation for a decimal. So treat it as such.
32/75=0.427
3/11=0.28
-5/8=-0.625
-7/10=-0.7
21/7=3
-179/99=-1.81

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Math quest after a winter storm, the depth of the snow on cherry street was 10 \text{ cm}10 cm10, space, c, m. but then, the sno

Zanzabum

Answer:

9 cm.

Step-by-step explanation:

Let x be the number of hours.

We have been given that after a winter storm, the depth of the snow on cherry street was 10 cm. Then, the snow started melting at a rate of $\frac{1}{3}$ , so the snow melted in x hours will be $\frac{1}{3}x$ .

Since initially there was 10 cm of snow, so the depth of snow after x hours will be:

$10-\frac{1}{3}x$

To find the depth of snow after 3 hours we will substitute $x=3$ in our expression.

$10-\frac{1}{3}\times 3$

$10-1$

$9$

Therefore, the depth of the snow on cherry street after 3 hours will be 9 cm.

3 0

3 years ago

Read 2 more answers

A man walks at the rate of 88 paces to the minute if the average length of his paces is 0.875m, find the time take to walk 2.31k

Nataly [62]

Answer:

30 minutes

Step-by-step explanation:

Walk rate = 88 paces/ minute

Average length of pace = 0.875 m

Time taken to walk 2.31 km ;

The distance in metres :

1000 m = 1 km

2.31 km = (1000 * 2.31) = 2310 m

Recall :

Time taken = distance / speed

Distance walked in a minute = 88 * 0.875 = 77 m

Time taken = 2310 / 77

Time taken = 30 minutes

6 0

3 years ago

Wholesale cost of a telescope: $199.50; Markup: 50%, Discount: 30%,

kupik [55]

Answer:

$2147.85

Step-by-step explanation:

199.5*.5=99.75

199.5+99.75=299.25

299.25*.3=89.775

299.25-89.775=209.475

209.475*.04=8.279

209.475+8.379=217.854

7 0

3 years ago

An apartment complex has a floor plan with dimensions shown. To effectively air condition a room, 20 BTU’s are required for ever

kifflom [539]

12,900 BTU's are required to cool the room effectively.

Step-by-step explanation:

Step 1:

We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.

It is made up of a semi-circle a rectangle, and a trapezoid.

Step 2:

The area of a semi-circle $=\frac{ \pi r^{2} }{2} .$

Here, the diameter is 20 feet so the radius is 10 feet.

The area of the semi-circle $=\frac{ \pi r^{2} }{2} =\frac{ (\pi) (10^{2}) }{2} = 157.079$ square feet.

The area of a rectangle $= (l)(w).$

The length of the rectangle is 22 feet and the width is 20 feet.

The area of a rectangle $= (l)(w) =(22)(20) = 440$ square feet.

The area of a trapezoid $=\frac{a+b}{2} (h).$

Here $a=12, b= 20, h= 3$ .

The area of a trapezoid $=\frac{12+20}{2} (3) = 48$ square feet.

Step 3:

The total area of the floor plan $=157.079+440+48 = 645.079$ square feet.

If 20 BTU's are required for a single square foot,

The number of BTU's for 645.079 square feet $= (645.079)(20)=12,901.58$ BTU's.

Rounding this off, we get 12,900 BTU's required to cool the room effectively.

7 0

3 years ago

Between x = 2 and x = 3, which function has a smaller average rate of change than y = 2x ? A) y = 2 3 -x B) y = 4x - 1 C) y = 5x

xxTIMURxx [149]

The two points are (x, f(x)) and (x+h, f(x+h)). To find the slope, the definition is the change in y over the change of x. Does this sound familiar!! Applying this definition we get the following formula: and the points x1 = 2 and x2 = 4. Then in our general answer, we will replace x with x1 and h = x2 - x1. Replacing these values in the formula yields 2(2) + (4 - 2) = 4 + 2 = 6. Thus, the slope of the secant line connecting the two points of the function is 6. Now using the same function as above, find the average rate of change between x1 = -1 and x2 = -3. The answer is 2(-1) + ( -3 + 1) = -2 + -2 = -4. This means that the secant line is going downhill or decreasing as you look at it from le

6 0

3 years ago