All categories

3 years ago

One number is 4 less than 3 times another If the sum of the numbers is 36, what are the two numbers?

Mathematics

1 answer:

expeople1 [14]3 years ago

8 0

Let's start by assigning variables for each of the numbers. Let the first one be x, the second one be y.

x + y = 36

x = 3y - 4

Now we solve using substitution.

3y - 4 + y = 36

This simplifies into:

4y = 32

y = 8.

Now we need to solve for x.

36 - 8 = 28 (because x + y = 36)

x = 28

You might be interested in

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

4 years ago

If possible, please answer in detail :) I need to know if my answers are correct.

g100num [7]

Answer:

Sid : [tied up] This is either really good or really bad.

6 0

3 years ago

Read 2 more answers

1 of 6

nasty-shy [4]

Answer:

something

Step-by-step explanation:

sry i need answers

3 0

3 years ago

Question 6(Multiple Choice Worth 4 points)

Alla [95]

Answer:

The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, and a causal relationship exists between the team playing at home and winning.

Step-by-step explanation:

the closer the correlation coefficient is to +1 the stronger the positive correlation.

plz, mark brainliest

7 0

3 years ago

Read 2 more answers

I need a good joke :D

horrorfan [7]

Answer:

My life

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers