Okay so make a coordinate plane, insert the numbers in the right place, then count what’s in between, you got this, I’ll totally help you if you didn’t get it.
I will give you everything I can do:
11)
Lets say Car A travels at x mph. That means Car B travels at x+2 mph.
Both of them are traveling towards each others, so we can say the total speed is 2x+2.
Now i takes 3 hrs and we know the distance.
Since R*T=D
Then 3(2x+2)=270
So 2x+2=90
2x=88
x=44
12)
To find perpendicular we want to find the opposite reciprocal of the original slope. Therefore the slope is 3/2.
Now we must find the equation of the line with the given variable.
First find b.
5=3/2*4+b
b = -1
So the equation of this line is:
y=3/2x-1
13) All work will be shown below.
6-3(-2-4x)=2(3(x-4)+7)
6+6+12x=2(3x-12+7)
12+12x=2(3x-5)
12+12x=6x-10
6x=-2
x = -1/3
14)
First we must find the amount each train traveled.
The speed of F train(Freight train)=x
The speed of P train(passenger train)=x+6
Their combined speed is 2x+6
It takes 2 hrs to cover 100 miles
So 2(2x+6)=100
2x+6=50
2x=44
x=22
So the freight train covered 44 miles and the passenger train covered 56 miles.
To find average speed you must do Total Distance/Total Time.
44/2 and 56/2
Which are 22 and 28.
The average speed of F train is 22 mph and average speed of P train is 28 mph.
15) Again opposite reciprocal.
3/5 -> -5/3
Work:
-4=-3*-5/3+b
-4=5+b
b=-9
y = -5/3x-9
16)
F=kx-kx0
First kx0 = 0
So F=kx
So x=F/k
Answer:
Step-by-step explanation:
Given
Required
Create a convert meter to yard expression
Divide both sides by 0.914
--- approximated
There are 59 eggs in the basket
Step-by-step explanation:
There are between 50 & 60 eggs in a basket
- When Roza counts by 3's there are 2 leftover
- When she counts by 5's there are 4 leftover
We need to find how many eggs in the basket
∵ When Roza counts by 3's there are 2 leftover
∵ When she counts by 5's there are 4 leftover
- That means the number of eggs when divided by 3 give
remainder 2 and when divided by 5 give remainder 4
- To find the number look for the numbers that divisible by 5 and
add 4 to them and then check the remainder when they divided
by 3
∵ Between 50 and 60 there is only one number divisible by 5
is 55 (not including 50 or 60)
∵ 55 + 4 = 59
∴ 59 gives remainder 4 when divided by 5
Let us check them with 3
∵ 59 - 2 = 57
∵ 57 is divisible by 3 ⇒ (57 ÷ 3 = 19)
∴ 59 when divide by 3 gives remainder 2
∴ 59 gives remainder 4 when divided by 5 and remainder 2 when
divided by 3
∴ The number of eggs in the basket is 59
There are 59 eggs in the basket
Learn more:
You can learn more about the word problems in brainly.com/question/10557938
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