For the 1st one we need to solve x. x-y=2 step1: x-y+y=2+y answer: x=y+2
Answer:
12
Step-by-step explanation:
There are 32 female casts in a school play
The ratio of male to the female role is 3:8
Therefore the number of male casts in the school play can be calculated as follows
3/8= x/32
Cross multiply
8x = 32×3
8x= 96
x= 96/8
= 12
Hence there are 12 male casts in the school play
Answer:
Step-by-step explanation:
Given
Required
The volume of the prism
The number of base cubes represents the base area and the number of layers represents the height of the prism.
So, the volume is calculated as:
i.e Base Area * Heights
Answer:
27
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Step-by-step explanation:
Let's set Huilan's age to h and Thomas's age to t.
Since Huilan is 13 years younger than Thomas, we can write:
The sum of both their ages is 41, so let's combine the variables h and t together.
We said that h = t - 13, so substitute this value into the equation.
Combine like terms.
Add 13 to both sides of the equation.
Divide both sides of the equation by 2.
Thomas's age is 27 years old.
Thank you L for helping me with this question :)
Full question:
Linear Functions: Taking a Taxi
You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk through the Bunker Hill Memorial, your family decides to take a taxi to a restaurant for dinner. After 1 mile, the meter on the taxi says $4.75. It will cost $8.25 to go 3 miles. The cost varies linearly with the distance that you traveled. If you have $11 in your pocket, will you be able to take the cab 5 miles?
Answer:
Cannot go 5 miles having just $11
Step-by-step explanation:
Since the cost varies linearly with the distance that you traveled, to model the linear function for this problem we know that
1 mile = $4.75
And so to go x miles, we require $4.75x
Equation can therefore be modelled thus :
y=4.5x
Where y = total cost of transport in dollars
x= cost in dollars per mile
To find out if we can go 5 miles just having $11, we plug in 5 miles for x into the equation to find total cost of transport going 5 miles
y=4.5*5
y= $22.5
Therefore we cannot go 5 miles just having $11
