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pentagon [3]
3 years ago
12

A is 5 years older than T. In 3 years, T will be 2/3 A age. How old is A?

Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0

Answer:

12 years

Step-by-step explanation:

T + 5 = A

Therefore T =A - 5

In three years T = 3+ (A-5)

thus T = A - 2

Also in three years T = 2/3 (A+3)

Equating the two

A -2 = 2/3 (A+3)

3A - 6 = 2A + 6

3A - 2A = 6 + 6

Therefore A = 12

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takes 48 minutes

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A gallon of paint will cover approximately 350 square feet and artist wants to paint all the outside surfaces of a cube measurin
Gelneren [198K]
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Find the slope and the y-intercept of the line.
Allushta [10]

Answer:

Slope <em>m</em> = -5/4

y-intercept <em>b</em> = 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Equality Properties

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

[Standard Form]   -5x - 4y = -12

<u>Step 2: Rewrite</u>

  1. Add 5x to both sides:                    -4y = 5x - 12
  2. Divide -4 on both sides:                y = -5/4x + 3

<u>Step 3: Identify</u>

<em>Break apart the function.</em>

Slope <em>m</em> = -5/4

y-intercept <em>b</em> = 3

5 0
3 years ago
Please help with algebra problem
kumpel [21]
Number of weekend minutes used: x
Number of weekday minutes used: y

This month Nick was billed for 643 minutes:
(1) x+y=643

The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44

We have a system of 2 equations and 2 unkowns:
(1) x+y=643
(2) 0.04x+0.08y=35.44

Using the method of substitution
Isolating x from the first equation:
(1) x+y-y=643-y
(3) x=643-y

Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
25.72-0.04y+0.08y=35.44
0.04y+25.72=35.44

Solving for y:
0.04y+25.72-25.72=35.44-25.72
0.04y=9.72

Dividing both sides of the equation by 0.04:
0.04y/0.04=9.72/0.04
y=243

Replacing y by 243 in the equation (3)
(3) x=643-y
x=643-243
x=400

Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243
6 0
3 years ago
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