MATHEMATICS MIDDLE SCHOOL

The sum of a number and two times a smaller number is 98. The bigger number is 22 less than three times the smaller number. What are the two numbers?

Answers

Answer 1
Answer:

Answer:

The smaller number is 24 and the larger number is 50.

Step-by-step explanation:

b>a  

b=3a-22, b+2a=98, using b from the left in the right:  

3a-22+2a=98  

5a-22=98  

5a=120  

a=24, and since b=3a-22,  

b=50  

So the smaller number is 24 and the larger number is 50.

Related Questions

Which situation can be modeled by the equation y = mx + b? A. The number of bacterial cells (y) in a Petri dish doubles every hour (x). B. The time (y) it takes to fill an 80-gallon bathtub depends on the number of gallons filled per minute (x). C. The total cost (y) of publishing a textbook at a printing cost of $9.50 per book depends on the number of books (x) published.  D. The volume (y) of a conical flask with a height of 6 inches depends on the radius (x) of the flask.
The height of a trapezoid is 8 inches and its area is 96 inches squared. One base of the trapezoid is 6 inches longer than the other base. What are the lengths of the bases? Explain how you found your answer.
Explain how dot plots and frequency tables are alike and how they are different
Seme1. Solve for x: 2x + 4 > 8x – 8
Mary was making $25,000 per year. Her boss gave her a $3,000 raise. What percent increase is that? PLZ HELP

A garden centre has reduced the price of all plant pots by 20%. Jane bought a reduced plant pot for £40. How much would she have paid for this plant pot before the price reduction?

Answers

She paid 80% of the regular price because it was 20% off so...

80% = £40

We want to get to the regular price (100%) so...

100% = £40 x 100/80 = £50

answer: £50

Answer:he paid 80% of the regular price because it was 20% off so...

80% = £40

We want to get to the regular price (100%) so...

100% = £40 x 100/80 = £50

answer: £50

Step-by-step explanation:

A box is 26 inches wide, 5 inches tall, volume of 1170 in.³. What is the length of the box?

Answers

V=LWH
V=1170
L=?
W=26
H=5
1170=? times 26 times 5
1170=? times 130
divide both sides by 130
9=?

legnth=9inches

What is 1/2 of 2 3/4?

Answers

Answer:

1 3/8

Step-by-step explanation:

First, change the mixed fraction to improper fraction.

2 3/4 = 8/4 + 3/4 = 11/4

1/2 of 11/4 = (11/4)(1/2) = 11/8

11/4 - 11/8 = 22/8 - 11/8 = 11/8

11/8, or 1 3/8 is your answer.

~

Write an expression for the sequence of operations described below.triple t, add the result to u, then multiply what you have by v

Do not simplify any part of the expression.

Answers

triple t ⇒ 3t
add the result to u ⇒ 3t + u
multiply what you have by v ⇒ (3t + u)v

Since it is instructed not to simplify, we perform the distributive property of multiplication.

(3t + u)v = 3tv + uv

Becky wants to fence in a rectangular play area for her dog. If she was 82 feet of fencing and wants the length of the play area to be 9 feet longer than its width then what should the dimensions of the play area be?

Answers

ok
fencing=perimiter
perimiter=L+L+W+W=2L+2W=2(L+W)
82=2(L+W)
divid eboth sides by 2 for ease of use
41=L+W


if she wants legnth to be 9 more than width, then
L=9+W
subsitute 9+W for L
41=9+W+W
41=9+2W
subtract 9
32=2W
divide 2
16=W

subsitute
L=9+W
L=9+16
L=25



the pen should be 25 feet by 16 feet
length= width+9    ----- Now we can substitute length with width!
Perimeter = 2(length) + 2(width)
Perimeter = 82
82= 2(w+9) + 2w
41 = w+ 9 + w
41-9 = 2w
32 = 2w
16= w    (now plug w into the equation for length)
length = 16 + 9 = 25

SOO... Dimensions = 16 x 25

I need help asap like oof


please go in order

Answers

You are correct but I do not know what the last are sorry

1. Yes, terminating

2. No, terminating

3. Yes, terminating

4. No, terminating
Other Questions
Marcus has $163 in his checking account. On Monday, je wrote a check for $315. How much does Marcus need to deposit into is account to prevent the account balance from dipping below the minimum of $25? ** please solve the problem in an equation
Which pair of points is in the solution set for the system of linear inequalities below? 2x + y < 2 6x + 3y > 2a.) (0, 3/2) and (3/4, 1/4)b.) (1/2, 1) and (1/2,1/2)c.) (-1,-1) and (0,-3)d.) (0,2) and (1/3,0)
Triangle ABC has a perimeter of 22cmAB=8cmBC=5cmBy calculations, deduce whether triangle ABC is a right angled triangle
Jason entered the elevator of the skyscraper on the ground floor and rode up to the 45th floor. Since Jason was texting, he didn’t notice where he was, so he then rode down 28 floors and finally up 15 floors where he exited the elevator. On what floor did Jason exit the elevator? Floor