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3 years ago

Use division to find the decimal equivalent for 1/7 Be sure to continue

Mathematics

1 answer:

vovangra [49]3 years ago

6 0

Answer:

0.142854714

Step-by-step explanation:

1 divided by 7 on a calculator ... its gonna repeat

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Find two positive numbers satisfying the given requirements. The product is 432 and the sum of the first plus three times the se

kogti [31]

Answer:

Step-by-step explanation:

Let the two positive integers be x and y.

If their product is 432, then

xy = 432 ......... 1

Also if the sum of the first plus three times the second is a minimum, then;

p(x) = x + 3y

From 1;

y = 432/x ..... 3

Substitute 3 into 2;

p(x) = x+3y

p(x)= x + 3(432/x)

p(x) = x + 1296/x

Since the expression is at minimum when dp(x)/dx = 0

dp/dx = 1 + (-1296)/x²

dp/dx = 1 -1296/x²

0 = 1 -1296/x²

0 = (x²-1296)/x²

cross multiply

0 = x²-1296

x² = 1296

x = √1296

x = 36

Since xy = 432

36y = 432

y = 432/36

y = 12

Hence the two positive numbers are 36 and 12

4 0

3 years ago

You loan a friend $3,000. You charge 5.4% interest and they will pay you back in 6 months. How much interest will your friend ha

Hoochie [10]

Answer:

The answer is 1092

Step-by-step explanation:

6 0

3 years ago

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A triangle with area 45 square inches has a height that is two less than four times the width. Find the width and height of the

PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

45 = (b(4b - 2))/2

90 = 4b2 - 2b

4b2 - 2b - 90 = 0

(2b + 9)(2b - 10) = 0

2b + 9 = 0

2b = -9

b = -9/2

If we were looking for zeroes, this would be an answer, but since we're looking for measurement, we don't use negative numbers.

90 = 4b2 - 2b

4b2 - 2b - 90 = 0

(2b + 9)(2b - 10) = 0

2b + 9 = 0

2b = -9

b = -9/2

7 0

3 years ago

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Evaluate 4 + (-2) - (-3) – 6.

fgiga [73]

Answer:

Step-by-step explanation:

-1

8 0

3 years ago

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Sahil got 28 questions right on the math test. Angelina got 7 more wrong answers than Sahil. There where 40 questions on the tes

Svetradugi [14.3K]

Answer:

19 wrong answers.

Step-by-step explanation:

Given:

Sahil got 28 questions right.

Angelina got 7 more wrong answers than Sahil.

There where 40 questions on the test.

Question asked:

How many answers did Angelina get wrong on the math test ?

Solution:

Total questions on the test = 40

Number of right answers, Sahil got = 28

Number of wrong answers, Sahil got = 40 - 28 = 12

As Angelina got 7 more wrong answers than Sahil,

Number of wrong answers, Sahil got = 12

Then, number of wrong answers, Angelina got = 12 + 7 = 19

Therefore, 19 answers did Angelina get wrong on the math test out of 40.

7 0

4 years ago