Linear function: d = -4m+50 (that's a negative 4 btw)
Slope: -4
y-intercept: 50
I'm truly sorry but I forgot how to do the last one :(
Answer:
The number of meters Robert will beat Sam is 12 meters.
Step-by-step explanation:
Given:
When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed.
Find:
the number of meters by which Robert will beat Sam
Step 1 of 1
When Paul finishes, Robert has run 60-10=50 meters and Sam has run 60-20=40 meters.
Therefore, when Robert and Sam run for the same amount of time, Sam covers
of the distance that Robert covers. So, while Robert runs the final 10 meters of the race, Sam runs
meters.
This means Robert's lead over Sam increases by 2 more meters, and he beats Sam by 10+2=12 meters.
The main idea here is to "translate" the words into maths.
First we need to identify the unknowns and label these.
We need to know the number if dimes and the number of quarters. So lets say
x: number of dimes
y: number of quarters
Now lets write equations from the written problem.
We know that there are 36 coind total, thus:
x + y = 36
We also know that the coins total 5.85 dollars, but it is better to count in cents, that is 585 cents.
x are the number of dimes, their value is x*10
y are quarters with value of y*25
thus:
10x+25y=585
We have two equations and two unknowns now, that needs to be solved to get the answer.
x + y = 36
10x+25y=585
Answer:
The two linear equation
x + y = 19.... Equation 1
0.55x + 0.75y = 12.65... Equation 2
Nedra purchased
9 Apples and 11 Oranges
Step-by-step explanation:
Nedra purchased apples and oranges at the grocery store. which two linear equations can be used to find the number of apples and oranges?
Let the number of apples be represented by x
The number of oranges by represented by y.
Hence,
Apples are $0.55 each and oranges are $0.75 each. If she spent a total of $12.65 for 19 pieces of fruit,
Hence:
x + y = 19..... Equation 1
x = 19 - y
$0.55 × x + $0.75 × y = $12.65
0.55x + 0.75y = 12.65.....Equation 2
Hence: we substitute 19 - y for x in Equation 2
0.55(19 - y) + 0.75y = 12.65
10.45 - 0.55y + 0.75y = 12.65
-0.55y+ 0.75y = 12.65 - 10.45
0.20y = 2.2
y = 2.2/0.20
y = 11 oranges
x = 19 - y
x = 19 - 11
x = 8 Apples
Answer:
4.8
Step-by-step explanation:
15/6 is 2.5 whitch when divided by 12 is 4.8 so 12 divided by 2.5 is 4.8