Mathematics High School

a number is two more than another number in number form?​

Answers

Answer 1

From the information in the word problem we are able to set up the following inequality:  

3y + 2 - y = 12   |   where x is the larger number of two numbers in a set (x, y)  

We know this because the problem states that [x = 3y + 2] or 3 times the smaller number plus two.  

We also know that x - y = 12.

So, we substitute x in [x - y = 12] with 3y + 2 that we found out above, and we get the following:

3y + 2 - y = 12

Now, we solve the inequality

3y + 2 - y = 12

-> subtract 2 from both sides :: 3y - y = 10

-> subtract y from 3y              :: 2y = 10

-> divide both sides by 2        :: y = 5

So now we have y, the smaller number, which is equal to 5. Next, to find x we simply plug y=5 back in to either the value of x, [3y + 2], or the inequality of x - y = 12. I will show both:  

x - y = 12

-> substitute y for 5     :: x - 5 = 12

-> add 5 to both sides :: x = 17

OR

3y + 2 = x

-> substitute y with 5 :: 3(5) + 2 = x

-> multiply 3, 5          :: 15 + 2 = x

-> add 15, 2              :: 17 = x

So there you have it:  

x = 17 , y = 5

You can go back and use these values to check your answer and make sure they work with the word problem.  

Remember to look for the setup to an inequality in the word problem. Anything that says BLANK times this number, or 4 less than that number, is trying to set you up with an inequality problem.  

(just another form of the equation)

brainliest will be appreciated as well

Related Questions

Choose the <,>,= symbols to answer the question

Answers

Answer:

Step-by-step explanation:

1.<

2.<

3.=

4.=

5.>

6.<

7.<

8.>

Find the volume of a sphere with a radius of 5 in. Round to the nearest hundredth.

A) 53.05 in3
B) 104.72 in3
C) 392.70 in3
D) 523.60 in3

Answers

Answer:

D

Step-by-step explanation:

it's D I don't have a full step by step

Leticia bought a new tablet for $425. She had to pay a sales tax of 8%.


What was the amount of sales tax she paid on the tablet?               Sales Tax: $


What was the total cost after sales tax that Leticia paid for the tablet?      Total: $


​

Answers

Sale Tax: $34
Total: $459

Step to solve:
To find sale tax you would need to multiple 425, the cost of the tablet by 8% or 0.08 in decimal form to get the answer 34.

To find the total add the sale tax, 34, and the cost of the tablet, 425, to get the total, 459 dollars.

I need help. The due date is April 21, 2021 11:00pm

3=y
2y + 2x = 8

The Options:

A. (1,3)
B. (3,1)
C. (0,8)
D. (2,2)

Answers

the answer is B

if y = 3 then
2 (3) = 6
2 (1) = 2
6 + 2 = 8

Aaron wants to buy sod for his backyard. What is the amount of area he will need to cover? A)14in B)16in C)45.9 in D) 29.9in

Answers

Answer:

29.9 inches squared

Step-by-step explanation:

I just took this and got the answer right!!

pls help me out what up

Answers

Answer:

Answers are below

Step-by-step explanation:

29. 3(4x-5) + 4(2x+6)

Solution: 20 + 9

30. -8(2a - 3b) - 5(6b - 4a)

Solution: 4 − 6

31. 10(5g + 2h - 3) - 4(3g - 4h + 2)

Solution: 38 + 36ℎ − 38

hope this helps :) Let me know if you need any further explanations.

5x + 8 = 23

Solve x.

Please

Answers

Answer:

X=3

Step-by-step explanation:

I got a calculator.  

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

First you want to subtract 8 from 23

[tex]23-8=15[/tex]

Now take 15 and divide by 5

[tex]15/5=3[/tex]

3 is the final answer

Solve for X, show work PLS =)
½(4x+2)=2x-4

Answers

4x+2=4x-8
2=-8
answer: no solutions

What value of makes this equation true? =92 =60 =38 =76

Answers

Answer:

y = 60

Step-by-step explanation:

Given

22 + 54 = y + 16 , that is

76 = y + 16 ( subtract 16 from both sides )

60 = y

Answer: y=60

Step-by-step explanation:

Use the Parent function and Function 2 to choose the best statement comparing the graphs to each other.

Parent Function: y = 1/5x^2

Function 2: y = 1/5x^2 +7

A. Function 2's graph is shifted down 7 units from the Parent Function's graph.

B. Function 2's graph is shifted up 7 units from the Parent Function's graph.

C. Function 2's graph is shifted left 7 units from the Parent Function's graph.

D. Function 2's graph is shifted right 7 units from the Parent Function's graph.

Answers

Answer:

the answer is A&d

Step-by-step explanation:

I took the quiz and got 100

Practice question — Given the trapezoid to the right find the length of legs in the following isosceles trapezoid

Answers

Given:

A figure of an isosceles trapezoid with bases 18 and 24, and the vertical height is 4.

To find:

The legs of the isosceles trapezoid.

Solution:

Draw another perpendicular and name the vertices as shown in the below figure.

From the figure it is clear that the AEFD is a rectangle. So,

[tex]EF=AD=18[/tex]

Since ABCD is an isosceles trapezoid, therefore in triangle ABE and DCF,

[tex]AB=DC[/tex]               (Legs of isosceles trapezoid)

[tex]AE=DF[/tex]                (Vertical height of isosceles trapezoid)

[tex]m\angle AEB=m\angle DFC[/tex]             (Right angle)

[tex]\Delta ABE\cong \Delta DCF[/tex]                (HL postulate)

[tex]BE=CF[/tex]                (CPCTC)

Now,

[tex]BE+EF+FC=BC[/tex]

[tex]2BE+18=24[/tex]

[tex]2BE=24-18[/tex]

[tex]2BE=6[/tex]

[tex]BE=3[/tex]

Using Pythagoras theorem in triangle ABE, we get

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

[tex](AB)^2=(AE)^2+(BE)^2[/tex]

[tex](AB)^2=(4)^2+(3)^2[/tex]

[tex](AB)^2=16+9[/tex]

[tex](AB)^2=25[/tex]

Taking square root on both sides, we get

[tex]AB=\pm \sqrt{25}[/tex]

[tex]AB=\pm 5[/tex]

Side length cannot be negative. So, [tex]AB=5[/tex].

Therefore, the length of legs in the given isosceles trapezoid is 5 units.

Caleb invested $6,200 in an account paying an interest rate of 7 1/2% compounded
quarterly. Sophie invested $6,200 in an account paying an interest rate of 7 7/8%
compounded monthly. To the nearest dollar, how much money would Sophie have in
her account when Caleb's money has doubled in value?

Answers

Oh this is a hard one I will get back to you whenever I get it

The sum of the ages of my 3 children is 45 years.
If their ages are consecutive odd integers,
how many years old is my oldest child?
A) 17
B)19
C) 21
D) 23

Answers

I think A, but im not 100% sure

Pentagon PQRST is shown on the coordinate grid below . Given that the pentagon was rotated 180 ° clockwise and labeled P'Q'R'ST , what are the coordinates of T ?

Answers

Answer:

Step-by-step explanation:

Given is a pentagon. It has 5 sides

Please help me with this problem!! thank you!

Answers

Answer:

its number 3.

Step-by-step explanation:

Can someone help me oit

Answers

Answer:

The correct answer is letter D

solve for x and ___
help pls

Answers

Answer:

-10

10

Step-by-step explanation:

Answer:

sorry

Step-by-step explanation:

y = 8 ∙ 3^x for x = 4 20 POINTS

Answers

Answer:

648

Step-by-step explanation:

8×3^4=648

8×81=648

solve for x in the diagram below 3x 80 2x

Answers

Answer:

x= 16

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

The three angles added up will be 180 degrees in total.

3x+80+2x=180

5x+80=180

5x=100

x=20

This year, The Springfield Times had 11,322 subscribers. That is 85% more than they had last year, before the paper was bought out. How many subscribers did the paper have last year?

Answers

Answer:

The paper had 1698.3 subscribers last year.

Step-by-step explanation:

11,322 * 85% = 9623.7

11,322 - 9,623.7 = 1698.3

So, the answer is 1698.3

Hope this helps! :)

It costs $520 to plant 4 acres of corn. How much would it cost to plant \large \frac{3}{5} acre of corn?

Answers

Answer:

$78 to plant 3/5 an acre of corn

Step-by-step explanation:

you can set up a fraction. 

520/4 = x/6

Cross multiply

312 = 4x

Divide both sides by 4 equal to

x=78

$78 to plant 3/5 an acre of corn

The speed of a train is 35 miles per hour less than 2 times the speed of a car. If the speed of the train is 60 miles per hour, how fast is the car going? Leave the answer as a fraction.

Answers

Answer:

95/2 mph

Step-by-step explanation:

speed of train = 60 mph

speed of car = x

"The speed of a train is 35 miles per hour less than 2 times the speed of a car."

2x - 35 = 60

2x = 95

x = 95/2

Answer: 95/2 mph

PLEASE HELP
I WILL MARK BRAINLIEST

Answers

Answer:

False

Step-by-step explanation:

They don't look alike

Of the possible outcomes in the sample space, how many times does the event of rolling a two occur?

Answers

Answer:

The event of rolling a two happens only once.

Step-by-step explanation:

sample explanation

Write any two irrational numbers between 0.7575496 and 0.784218972.​

Answers

Answer:

2 rational numbers are:

0.766766676666766666.....

0.766766676666766666.....0.77896543567543120.....

Lucy bought a broken toy. She repaired it and sold it to her friend. Lucy made the following list to help her calculate her profit. -Price paid for the toy: $5.25 -Cost to repair the toy: $1.33 -Selling price of the toy: $10.00 How much profit did Lucy make by selling the toy?

Answers

Answer:

6.08

Step-by-step explanation:

10.00 - 5.25 + 1.33

Can anyone help me with this question?

Answers

Answer:

x= -1

Step-by-step explanation:

the answer is x= -1

hope it helps

Find the shaded area, please help ty (Geometry)

Answers

Answer:

The area of whole square is 396 sq mm

the area of triangle  = 99

396 - 99 = 297 sq mm

Answer - 297

Pls helps I need help

Answers

Look up the question on Brainly! I’m pretty sure it’ll come up. If not, sorry!

How far is mercury from Neptune?

Answers

29.70 AU


Step by step:
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