Which methods correctly solves for the variable s in the equation – 2

Jenna’s backpack weight 12.09 pounds. Kara’s backpack weighted 15.3 pounds. How much heavier was Kara’s backpack?

PIT_PIT [208]

Answer:

3.21 pounds

Step-by-step explanation:

15.3 - 12.09 = 3.21

6 0

3 years ago

Read 2 more answers

An agency has 4,000 employees. 2,000 employees have at least two years of college education. 1,000 of those employees have bache

weqwewe [10]

Answer:

1/80 of the agency's employees have PhDs.

Step-by-step explanation:

Given that:

Total number of employees = 4000

Number of employees with bachelors degree = 1000

Fraction of employees with graduate degree = 1/4 of 1000 = 250

1/5 of the employees with graduate degrees have PhD.

Number of employees with PhDs = 1/5 of 250 = 50

Now,

Fraction of PhD employees to total employees = $\frac{50}{4000} = \frac{1}{80}$

Hence,

1/80 of the agency's employees have PhDs.

5 0

3 years ago

The number of volunteers to walk dogs at the local animal shelter last year was 20 this year the number of volunteers has risen

Alex73 [517]

There is 150% increase in the number of volunteers.

Step-by-step explanation:

Given,

Old number of volunteers = 20

New number of volunteers = 50

Change = New value - Old value

Change = 50 - 20 = +30

The positive sign indicates the increase.

Percent increase = $\frac{Change}{Old\ value}*100\\$

$Percent\ increase=\frac{30}{20}*100\\\\Percent\ increase=\frac{3000}{20}\\\\Percent\ increase=150\%$

There is 150% increase in the number of volunteers.

Keywords: percentage, subtraction

Learn more about percentages at:

#LearnwithBrainly

3 0

4 years ago

Solve this problem out

Virty [35]

Option C

When $(2x - 3)^2$ is subtracted from $5x^2$ then the result is $x^2 + 12x - 9$

<h3>Solution:</h3>

Given that $(2x - 3)^2$ is subtracted from $5x^2$

We have to find the result

Subtraction is a mathematical operation that tells us the difference between two numbers.

When "a" is subtracted from "b", we write in mathematical expression as "b - a"

So $(2x - 3)^2$ is subtracted from $5x^2$ is written mathematically as:

$\rightarrow 5x^2 - (2x - 3)^2$

Expanding the above expression using algebraic identity:

$(a-b)^2 = a^2 - 2ab + b^2$

$\rightarrow 5x^2 - ((2x)^2 -2(2x)(3) + (3)^2)\\\\\rightarrow 5x^2 - (4x^2 - 12x + 9)$

Multiplying the nnegative sign with terms inside bracket

There are two simple rules to remember:

When you multiply a negative number by a positive number then the product is always negative.

When you multiply two negative numbers or two positive numbers then the product is always positive.

$\rightarrow 5x^2 - (4x^2 - 12x + 9)\\\\\rightarrow 5x^2 - 4x^2 + 12x -9\\\\\rightarrow x^2 + 12x - 9$

Hence the result is: $x^2 + 12x - 9$

3 0

3 years ago

A pottery school wants to study whether the glaze of stoneware bowls is affected by the temperatures used to harden the bowls. T

andrey2020 [161]

Answer:

A randomized block design. Randomly assign temperatures so that 2 bowls of each clay type are glazed at each temperature.

Step-by-step explanation:

4 0

3 years ago

Which methods correctly solves for the variable s in the equation – 2 – 5s = 9?