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mezya [45]
3 years ago
5

PLEASE HELP

Mathematics
1 answer:
zubka84 [21]3 years ago
6 0
If there are 1.5 times as many pairs of walking shoes as there are running shoes on display, then it is best to take each amount of running shoes and multiply it by 1.5, if doing that equals the amount of walking shoes, then it would be correct. Which in this case, would be D.
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the length of a rectangular label is 2.5 cm less than twice the width. the perimeter is 40.6 cm. find the width.
Aleksandr [31]
Let the width be w, then the length is 2w - 2.5.
Perimeter = 2(length + width)
40.6 = 2(2w - 2.5 + w) = 2(3w - 2.5)
3w - 2.5 = 40.6/2 = 20.3
3w = 20.3 + 2.5 = 22.8
w = 22.8/3 = 7.6

Therefore, width is 7.6 cm.
3 0
3 years ago
The probability of two events that are not mutually exclusive may be calculated using the formula
Nataly [62]

Answer:

7/13

Step-by-step explanation:

P(A or B) = P(A) + P(B) − P(A and B)

P(red or jack) = P(red) + P(jack) − P(red and jack)

P(red or jack) = 26/52 + 4/52 − 2/52

P(red or jack) = 28/52

P(red or jack) = 7/13

7 0
3 years ago
Read 2 more answers
There are 25 bananas that will be cut and divided evenly between 4 loaves of bread. How many bananas go into each loaf? Choose t
Paul [167]

Answer: 6 1/4

Step-by-step explanation: 25 divided by 4 = 6 1/4

4 0
3 years ago
Write 0.216 as a rational number in lowest terms
lozanna [386]

Answer:

=\frac{27}{125}

Step-by-step explanation:

0.216

\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}

\mathrm{There\:are\:}3\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\:therefore\:multiply\:and\:divide\:by\:}1000

=\frac{0.216\cdot \:1000}{1000}

=\frac{216}{1000}

216,\:1000

\mathrm{The\:GCD\:of\:}a,\:b\mathrm{\:is\:the\:largest\:positive\:number\:that\:divides\:both\:}a\mathrm{\:and\:}b\mathrm{\:without\:a\:remainder}

2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}

=2\cdot \:2\cdot \:2\cdot \:3\cdot \:3\cdot \:3

2,\:5\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}

=2\cdot \:2\cdot \:2\cdot \:5\cdot \:5\cdot \:5

\mathrm{The\:prime\:factors\:common\:to\:}216,\:1000\mathrm{\:are\:}

=2\cdot \:2\cdot \:2

\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2\cdot \:2=8

=8

=\frac{8\cdot \:27}{8\cdot \:125}

\mathrm{Cancel\:the\:common\:factor:}\:8

=\frac{27}{125}

Hence, the correct answer is =\frac{27}{125}

6 0
3 years ago
The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side
seropon [69]

Answer:

  • 7 feet, 3 feet, 7.5 feet

Step-by-step explanation:

Let the sides be a, b and c.

<h3>Given</h3>

The length of one side of a triangle is 2 feet less than three times the length of its second side

  • a = 3b - 2

The length of the third side is 3/4 of the sum of the lengths of the first two sides:

  • c = (3/4)(a + b)

The perimeter of the triangle is 17.5 feet:

  • a + b + c = 17.5

<h3>Solution</h3>

Substitute a with b in the second equation:

  • c = (3/4)(3b - 2 + b) = (3/4)(4b - 2) = (3/4)(4b) - (3/4)(2) = 3b - 1.5

Now substitute a and c with b in the third equation and solve for b:

  • a + b + c = 17.5
  • 3b - 2 + b + 3b - 1.5 = 17.5
  • 7b - 3.5 = 17.5
  • 7b = 17.5 + 3.5
  • 7b = 21
  • b = 3

Find the value of a:

  • a = 3b - 2 = 3*3 - 2 = 9 - 2 = 7

Find the value of c:

  • c = 3b - 1.5 = 3*3 - 1.5 = 9 - 1.5 = 7.5

The sides of the triangle are:

  • a = 7 feet, b = 3 feet, c = 7.5 feet

8 0
2 years ago
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