MATHEMATICS MIDDLE SCHOOL

Find three consecutive even integers whose sum is -132

Answers

Answer 1

Answer:

The consecutive even numbers are -42, -44, -46

Step-by-step explanation:

As the numbers are consecutive even integers,

Let,

The first number is "x"

The second number is "x+2"

The third number is "x+4"

According to the equation,

x + (x+2) + (x+4) = -132

As the sum is -132. Now we break the parenthesis by using the addition rule.

or, x + x + 2 + x + 4 = -132

or, 3x + 6 = -132

or, 3x = -132 - 6 (side change)

or, 3x = -138

or, x = -138/3 (interchange)

or, x = -46

Therefore, the first number is -46

The second number is -46+2 = -44

And the third number is -46+4 = -42

The consecutive even numbers are -42, -44, -46

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What is 8/9 in a decimal form

Answers

8/9 in decimal form.

=9 divided by 8 or 9/8

=0.888

A markdown that is less than 1%

Answers

Then mark it down by less then 1%, of by whatever the number would be.

Suppose a laboratory has a 38 g sample of polonium-210. The half-life of polonium-210 is about 138 days. How many half-lives of polonium-210 occur in 1104 days? How much polonium is in the sample 1104 days later?9 ; 0.07 g
8 ; 2,2622 g
8 ; 4.75 g
8 ; 0.15 g

Answers

To find the number of half lives divide the total number of days by the number of days for 1 half live:

1104 / 138 = 8

There are 8 half lives.

To find the total amount left multiply the starting amount by 1/2 to the 8th power:

38 * 0.5^8 = 0.148 = 0.15 grams

The answer is the last one.

Answer:

D. 8; 0.15 g

Step-by-step explanation:

We have been given that a a laboratory has a 38 g sample of polonium-210. The half-life of polonium-210 is about 138 days.

To find the half-lives of polonium-210, we will divide 1104 by 138.

$\text{Number of half lives}=\frac{\text{Total days}}{\text{Half-life}}$

$\text{Number of half lives}=(1104)/(138)$

$\text{Number of half lives}=8$

Therefore, there are 8 half-lives will occur in 1104 days.

$A=a\cdot ((1)/(2))^{(t)/(h)}$

$A=38\text{ g}\cdot (0.5)^{(1104)/(138)}$

$A=38\text{ g}\cdot (0.5)^(8)$

$A=38\text{ g}\cdot 0.00390625$

$A=0.1484375\text{ g}$

$A\approx 0.15\text{ g}$

Therefore, 0.15 gm of the polonium will be left after 1104 days.

What does 4.875 mean in fraction

Answers

4.875 as a fraction is 4 7/8.

* Write decimal as a fraction by putting 1 as denominator, so 4.875/1

* Multiply numerator and denominator by 10 x 10 x 10 to get 4875/1000

* Simplify the fraction so it gets 39/8

* Turn into a mixed number and get 4 7/8

The decimal number 4.875 is equal to the fraction 4 7/8.

The decimal number 4.875 can be expressed as a fraction in the following way:

4.875 = 4 + 0.875

The whole number part, 4, can be written as a fraction with a denominator of 1: 4/1.

The decimal part, 0.875, can be expressed as a fraction by considering the digits after the decimal point.

Since there are three digits after the decimal point, we can place the decimal number over a denominator of 1 followed by three zeros: 875/1000.

Combining the whole number and decimal parts, we have:

4.875 = 4 + 0.875 = 4 + 875/1000

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which in this case is 125:

4.875 = 4 + 875/1000 = 4 + (875/125) / (1000/125) = 4 + 7/8

Therefore, the decimal number 4.875 is equal to the fraction 4 7/8.

Learn more about fraction click;

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Jan buys 12 pens for 10$. Each pen costs the same amount of money. Write a proportion to find the number of pens Jan can buy $15. Then solve your proportion for the number of pens.

Answers

You can write the proportion as 2 equal fractions or as two equal ratios.
$(12)/(10) = (x)/(15)$ or 12 pens:$10 = x pens:$15

You can buy x pens for 15 dollars. One way to find x is by cross multiplying the fractions.

10x=12×15
10x=180
----- -----
10 10
x=18

You can buy 18 pens for $15.

Four friends earned $5.20 for washing a car They shared the money equally. How much did each friend get?

Answers

The answer should be $1.30 :D

They got 1.30 cents each

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