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Dominik [7]
3 years ago
5

Negative sixteen plus the quotient of a number and -4 is -3

Mathematics
1 answer:
IRINA_888 [86]3 years ago
7 0

The number you are in search of is -52.

To find this, we first have to write the equation that goes along with the sentence. For this, we need to take it one term at a time.

Negative sixteen (-16) plus (+) the quotient of a number and -4 (x/-4) is (=) -3.

Now put the parenthesis together

-16 + x/-4 = -3

Now we can solve this for x.

-16 + x/-4 = 3 ---> add 16 to both sides

x/-4 = 13 ----> multiply both sides by -4

x = -52

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A stone is a British unit of weight equivalent to 14 pounds. After losing 1 1/2 stone. Jim is now 85% of his original weight. Wh
evablogger [386]

Answer:

Jim's current weight = 119 pounds

Step-by-step explanation:

1 Stone = 14 pounds

1\frac{1}{2} stone = 1.5 stone

1.5 stone = 1.5 (14 pounds) = 21 pounds

Jim lost 21 pounds

Let X be Jim's Original Weight

Y be his present weight

As per given statement in the Question:

After losing 1.5 stones (21 pounds of weight) Jim now weighs Y

Present weight = original weight - 21

Y = X -21     <u>                                                    Equation 1</u>

Also Current Weight = 85 % (Original weight)

Y = 85 % (X) =\frac{85X}{100}

Y=\frac{85X}{100}

put in Equation 1

\frac{85X}{100} = X-21

85X = (X-21) 100

85 X = 100 X -2100

or

2100 = 100 X - 85X

2100 = 15X

or

15 X = 2100

X=\frac{2100}{15}

X= 140 pounds ( Original Weight)

Current Weight = Y = Original weight - 21 <u><em>(From Equation 1)</em></u>

Y = X -21

Y = 140 -21

Y = 119 pounds (Current Weight)

5 0
2 years ago
A machine shop produces heavy duty high endurance 20-inch rods that are meant for use in a variety of military grade equipment.
QveST [7]

Answer:

The probability that a defective rod can be salvaged = 0.50

Step-by-step explanation:

Given that:

A machine shop produces heavy duty high endurance 20-inch rods

On occasion, the machine malfunctions and produces a groove or a chisel cut mark somewhere on the rod.

If such defective rods can be cut so that there is at least 15 consecutive inches without a groove.

Then; The defective rod can be salvaged if the groove lies on the rod between 0 and 5 inches i.e ( 20  - 15 )inches

Now:

P(X ≤ 5) = \dfrac{5}{20}

= 0.25

P(X ≥ 15) = \dfrac{5}{20}

= 0.25

The probability that a defective rod can be salvaged = P(X ≤ 5) + P(X ≥ 15)

= 0.25+0.25

 = 0.50

∴ The probability that a defective rod can be salvaged = 0.50

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2 years ago
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Answer:

$117,351 JMD

Step-by-step explanation:

It is simple. 1 US dollar is 150.45 JMD, so 780 US dollars should be:

780 * 150.45 = 117,351

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