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maks197457 [2]
2 years ago
10

The school playground is in the shape of a pentagon. There is a drinking fountain at each of the 5 corners of the playground. Th

ere is a path that connects each water fountain. How many ways can someone walk from one drinking fountain to another drinking fountain without retracing their steps and while staying on the path?
Mathematics
1 answer:
ipn [44]2 years ago
7 0
The answer is 21 save
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Clara's suitcase weighs 58 1/4 pounds, but the airline's weight limit for suitcases is 50 pounds. How much weight does she need
Tanzania [10]

Answer

Find out the how much weight does she need to remove from her suitcase.

To prove

Let us assume that the weight Clara's need to remove from her suitcase be x.

As given

Clara's\ suitcase\ weighs\ 58\frac{1}{4}\ pounds,

Clara's\ suitcase\ weighs\ \frac{233}{4}\ pounds,

the airline's weight limit for suitcases is 50 pounds

Than the equation becomes

x = \frac{233}{4} - 50

x = 58.25- 50

x = 8.25 pounds.

Therefore the weight Clara's need to remove from her suitcase be 8.25 pounds.

As 1 pounds = 16 ounces

Convert 8.25 pounds into ounces.

x = 8.25 × 16

x = 132 ounces

Therefore the weight Clara's need to remove from her suitcase be 132 ounces.


7 0
2 years ago
Read 2 more answers
Write three numerical expressions that are equivalent to (0.0004) . (0.005)
yKpoI14uk [10]

<em><u>The three equivalent numerical expressions are:</u></em>

(0.0004) . (0.005) = (\frac{4}{10000}).(\frac{5}{1000})

(0.0004) . (0.005)= (\frac{1}{2500}).(\frac{1}{200})

(0.0004) . (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})

<em><u>Solution:</u></em>

We have to write three numerical expressions that are equivalent to (0.0004) . (0.005)

<em><u>Given expression is:</u></em>

(0.0004) . (0.005)

<em><u>First numerical expression:</u></em>

We know that 0.0004 can be written in fraction as:

0.0004 = \frac{0.0004 \times 10000}{10000} = \frac{4}{10000}

Similarly,

0.005 = \frac{0.005 \times 1000}{1000} = \frac{5}{1000}

Therefore,

(0.0004) . (0.005) = (\frac{4}{10000}).(\frac{5}{1000})

<em><u>Second numerical expression:</u></em>

The first numerical expression can be simplified to get second numerical expression

(\frac{4}{10000}).(\frac{5}{1000}) = (\frac{1}{2500}).(\frac{1}{200})

<em><u>Third numerical expression:</u></em>

The given expression can be expressed in scientific notation:

<em><u>Steps for converting to scientific notation:</u></em>

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

0.0004 = 4 \times 10^{-4}\\\\0.005 = 5 \times 10^{-3}

Therefore, third equivalent numerical expression is:

(0.0004) . (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})

8 0
2 years ago
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.08 and the probability that the flight
notka56 [123]

Answer:

0.74

Step-by-step explanation:

Probability that it will rain: 8%

Probability that the flight will be delayed: 14%

Probability that it rains and the fight is delayed: 4%

8%+14%+4% =26%

so the answer is 74% or 0.74

5 0
2 years ago
At a local baseball game there are 3 hot dog vendors. collectively the vendors sold 1,700 hot dogs. if vendor a sold 456, vendor
Vera_Pavlovna [14]
The answer is C.

Vendor A= 456/1700, which is .268 or 27%
Vendor B= 607/1700, which is .357 or 36%
Vendor C= 637/1700, which is .374 or 37%

For a total of 100%
8 0
2 years ago
Read 2 more answers
2 intersecting lines are shown. A line with point T, R, W intersects a line with points S, R, V at point R. Clockwise, from the
kolezko [41]

Answer:

Step-by-step explanation:

a) sum of angle on the straight line TRW is 180.

Given <TRS = 2x+10

<SRW = x-10

<TRS+<SRW = 180

2x+10+x-10 = 180

3x = 180

x = 180/3

x = 60°

<TRV = 180°-(2x+10)

Substitute x = 60° into the expression

<TRV = 180-(2(60)+10)

<TRV = 180-(120+10)

<TRV = 180-130

<TRV = 50°

2) From the diagram attached <MHJ= <LHK (oppositely directed angle)

Given

<MHJ= x+15

<LHK = 2x-20

Substitute the given data into the formula to get x

x+15= 2x-20

x-2x = -15-20

-x = -35

x = 35°

Next is to get the measure of <MHJ

<MHJ = x+15

<MHJ = 35+15

<MHJ = 50°

8 0
2 years ago
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