13 is what percent of 15?

Please solve card 6!

olasank [31]

Answer:

×=30⁰ :)

Step-by-step explanation:

x⁰+(x+30⁰)= 90⁰

x⁰+x⁰= 90⁰-30⁰=60⁰

2x⁰=60⁰

60⁰÷2=30⁰ => x⁰=30⁰

verification:

30⁰+(30⁰+30⁰)=90⁰

6 0

3 years ago

Read 2 more answers

2.3•10^3 scientific notation

labwork [276]

Well, 2.3•10^3 is the same as 2.3•1000. So move the decimal place three times to the right and you get a final answer of 2300.

4 0

3 years ago

The table shows a person’s annual salary y (in thousands of dollars) after x years of education beyond high school. What is the

kolezko [41]

Answer:

A. The annual salary of the person after 8 years of education beyond high school will be $76,000.

C. The annual salary of the person after 30 years of education beyond high school will be $208,000.

The given situation does not make sense in real world.

Step-by-step explanation:

We have been given a table of values, which shows a person’s annual salary y (in thousands of dollars) after x years of education beyond high school.

A. First of all we will find the equation of the line form our given values.

We can see that our function is increasing at a constant rate as each next term is 12 more than the last term:

$40-28=12$

$52-40=12$

Let us find the slope of our given line using points (0,28) and (10,88) in slope formula.

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$ , where,

$y_2-y_1$ = Change in two y-coordinates.

$x_2-x_1$ = Change in same x-coordinates of two y-coordinates.

Upon substituting coordinates of our given points in slope formula we will get,

$\text{Slope}=\frac{88-28}{10-0}$

$\text{Slope}=\frac{60}{10}$

$\text{Slope}=6$

Since we know that slope-intercept form of an equation is: $y=mx+b$ , where,

m = Slope of the line,

b = y-intercept or initial value.

We can see from our table that at x equals zero, y equals 28, so our y-intercept will be 28.

Upon substituting m=6 and b=28 in slope-intercept form of equation we will get,

$y=6x+28$

Therefore, the equation $y=6x+28$ represents the annual salary in thousands of dollars after x years of education beyond high school.

To find the salary of a person after 8 years of education beyond high school, let us substitute x=8 in our equation.

$y=6*8+28$

$y=48+28$

$y=76$

As the equation gives annual salary of a person in thousand dollars, therefore, the annual salary of the person after 8 years of education beyond high school will be $76,000.

C. To find the salary of a person with 30 years of education, we will substitute x=30 in our equation.

$y=6*30+28$

$y=180+28$

$y=208$

Therefore, the annual salary of the person after 30 years of education beyond high school will be $208,000.

Since a person does not study 30 years beyond high school, therefore, this situation does not make sense in real word.

3 0

3 years ago

Samantha is wall papering her bedroom and wants to make sure that she bought enough wall paper. Each wall in her room measures 1

Gala2k [10]

Answer:

17.60

Step-by-step explanation:

Look at the room carefully, the length of the room is 11 feet

And the height = 10 feet

The area of the 4 walls of the room = 4( 11×10) = 440 sq ft

Area covered by each roll = 25 sq ft

= 440/25 = 17.60 rolls

Therefore we require 17.60 rolls to cover a rectangular room on all four sides.

7 0

3 years ago

Due to a manufacturing error, four cans of regular soda were accidentally filled with diet soda and placed into an 18 pack. Supp

Bess [88]

Answer:

(a) 0.5948

(b ) 0.0392; A. Yes , because the probability is less than 0.05

(c) 0.3660

Step-by-step explanation:

Probability of regular soda; P (regular soda) = 4/18

Probability of diet soda; P (diet soda) = 14/18

Let R = Outcome of Regular soda

D = Outcome of Diet soda

P (R) = 4/18

P(D) = 14/18

Note that it is a probability without replacement situation

The total sample space for randomly selecting two cans from the 18 packs is given as :

R R

R D

D R

D D

(a.) Determine the probability that both contain diet soda.

P(both Diet Soda) = P (DD)

= 14/18 x 13/17

= 0.59477

≈ 0.5948

(b.) Determine the probability that both contain regular soda.

P (both regular soda) = P (R R)

= 4/18 x 3/17

= 0.039215

≈ 0.0392

Would this be unusual?

A. Yes , because the probability is less than 0.05

(c.) Determine the probability that exactly one is diet and exactly one is regular

P(exactly one regular) = P(RD) + P(DR)

= (4/18 x 14/17) + (14/18 x4/17)

= 0.36601

≈ 0.3660

4 0

3 years ago