Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
The length is 3x + 7
The width is 2x + 2
The perimeter is
<h3>2( 3x + 7) + 2( 2x + 2)</h3>
Simplify
6x + 7 + 4x + 4
Group like terms
6x + 4x + 7 + 4
We have the final answer as
<h3>10x + 11</h3>
Hope this helps you
Answer:
Let the speed of the train be x km/h.
Case 1:
Distance = 288 km
Speed = x km/h
Time = Distance/Speed
= 288/x h
Case 2:
Distance = 288 km
Speed = (x+4) km/h
Time = 288/x + 4 h
Since 288/x > 288/x + 4
288/x - 288/x+4 = 1
288[1/x - 1/x+4 ] = 1
[ x + 4 - x / x(x + 4) ] = 1/288
[4 / x^2 + 4x ] = 1/288
x^2 + 4x = 1152
x^2 + 4x - 1152 = 0
x^2 + 36x - 32x - 1152 = 0
x(x + 36) - 32(x + 36) = 0
(x + 36)(x - 32) = 0
x + 36 = 0 , x - 32 = 0
x = -36 , x = 32
x = -36 , rejected since speed cannot be negative.
Therefore , speed of the train = 32 km/h
Option A : a+o = 92 , 4a+2o = 284 is the right answer
Step-by-step explanation:
Let o be the number of oranges sold on Friday and
a be the number of apples sold on Friday
So,
A total of 92 was sold on Friday will yield the equation
On Saturday,
4 times the number of apples = 4a
2 times the number of oranges = 2o
So,
Hence,
The system of equations is:
Option A : a+o = 92 , 4a+2o = 284 is the right answer
Keywords: Linear equations, variables
Learn more about linear equations at:
#LearnwithBrainly
For fraction 3/10 for decimal .3 and for percentage 30%
Answer: -21/2
Concept:
Usually, when doing mathematics operation, it goes by the PEMDAS order:
- Parenthesis
- Exponent
- Multiplication
- Division
- Addition
- Subtraction
However, since the question asks to solve the order of operation from left to right, then we would be doing [addition] --> [Divison]
Solve:
<u>Given</u>
(-5/2) + 3/4 ÷ 1/6
<u>Operate with addition</u>
=(-10/4) + 3/4 ÷ 1/6
=(-7/4) ÷ 1/6
<u>Operate with division</u>
=(-7/4) × 6/1
=-42 / 4
=-21 / 2
Hope this helps!! :)
Please let me know if you have any questions
