Answer:
x = - 7
Step-by-step explanation:
Express the diagrams in equation form with output y
A y = 5x - 4
B y = 3x + 8
Equate the right sides so that A is 3 times B
5x - 4 = 3(3x + 8) ← distribute parenthesis
5x - 4 = 9x + 24 ( subtract 9x from both sides )
- 4x - 4 = 24 ( add 4 to both sides )
- 4x = 28 ( divide both sides by - 4 )
x = - 7
As a check
A y = 5(- 7) - 4 = - 35 - 4 = - 39
B y = 3(- 7) + 8 = - 21 + 8 = - 13
then - 13 × 3 = - 39
The required input is x = - 7
The volume of the given solid prism is: 3 × 3 × 5 = 45 units³
<h3>What is the Volume of a Solid prism?</h3>
The volume of any solid prism = base area of prism × height of the prism.
Given the following dimensions of the solid prism:
- Height of the solid prism = 5 units
- Base area = 3 × 3 = 9 units²
Volume of the solid prism = 9 × 5 = 45 units³
Learn more about volume of solid prism on:
brainly.com/question/5793407
Answer:
3.s is 3 times the age of Sydney's which is equals to Luke age + 5
Step-by-step explanation:
Given Sydney’s age, s
and also Luke is 5 years younger than 3 times Sydney’s age.
Sydney's 3 times age is 3.s
Luke age = Sydney's 3 times age - 5
Luke age=3.s-5 ⇒ 3.s = Luke age + 5
Hence, 3.s is 3 times the age of Sydney's which is equals to Luke age + 5
Answer:
3.33 miles per hour
Step-by-step explanation:
The total distance traveled by the hiker is 5 * 2 = 10 miles, and the total time travelled is 2 + 1 = 3 hours.
So, to find the average speed of the entire trip, we can use the formula:
distance = speed * time
With distance = 10 and time = 3, we have:
10 = speed * 3
speed = 10/3 = 3.33 miles per hour.
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