MATHEMATICS MIDDLE SCHOOL

It took Bill 2 hours biking at a speed of 10 miles per hour to bike along a trail in town. If Bella is walking the same trail at a speed of 4 miles per hour, how long will it take her to complete the trail?

Answers

Answer 1

Answer: the trail is 20 miles so it will take her 5 hours

Answer 2

Answer:

Answer:

5 hours

Step-by-step explanation:

10*2=20

20 divided by 4 is equal to 5 so the answer is 5 hours

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The speed of light is about 3x10^8 m/s what is the speed of light in kilometers per hour

Answers

$3*10^8 (m)/(s) \n\n 1m\to 10^(-3)km \n\n 1s\to 36*10^(-4) h \n\n\n 3*10^8* (10^(-3)km)/(36*10^(-4)s)= 10^8 * (10^(-3)*10^4km)/(12s)= \n\n =10^8* (10m)/(12s)= \n\n =10^8* 83*10^(-2) (m)/(s)=\n\n= \boxed{83*10^6 (m)/(s)}$

$3\cdot10^8 \ \frac{\big{m}}{\big{s}} =3\cdot10^5\cdot \frac{\big{10^3\ m\cdot 3600}}{\big{3600\ s}} =3\cdot10^5\cdot \frac{\big{3600\ km}}{\big{1\ hr}} =108\cdot10^7\ \frac{\big{km}}{\big{hr}}=\n\n=1.08\cdot10^9\ \frac{\big{km}}{\big{hr}}$

the Town Council had a banquet as a fundraiser for new playground equipment they sold 250 tickets for a total of 5,625. The expenses for the banquet were 6,182.50. What were the results of the town council's banquet?

Answers

gain = 250(5625) = 1406250
cost = 6182.5
revenue = gain - cost = 1406250 - 6182.5
revenue = 1400067.5
the results of the town banquet is that the total revenue is 1400067.5

I need help solving equations with variables on both sides. Please help and show me the work!x+3= -x-5

Answers

$x+3=-x+5\ \ \ \ | add\ x\ on\ both\ sides\n\n2x+3=5\ \ \ \ | subtract\ 3\n\n2x=-2\ \ \ | divide\ by\ 2\n\nx=-1$

Answer:

x=-4

Step-by-step explanation:

$x+3= -x-5\n+x -3=+x -3\n(2x)/(2) =(-8)/(2) \nx=-4$ First you combine like terms then you simplify after that you have your answer.

A Rocket is scheduled to launch from a command center in 3.75 hours. What time is it now ?

Answers

Step-by-step explanation:

T minus 3.75 hours 3.75 hours before launch at t= 0

Minus 3.75 (3 hours and 45 minutes) hours from the time it’s scheduled to launch

How do you solve and check it
-5 - 5y =0
y=8x

Answers

-5-5y=0
y=8x

substitute the value of y
-5-5(8x)=0
-5-40x=0
add 5 to both sides.
-40x=5
divide both sides by -40
x=-5/40
simplify gcf=5
x=-1/8

checking:
Y=8x
y=8(-1/8)
y=-1
Substitute it to the 1st equation
-5-5(-1)=0
-5+5=0
0=0

Stacy filled her 1/2 cup measuring cup seven times to have enough flour for a cake recipe. How much flour does the cake recipe call for?

Answers

all you have to do it write the equation
7 x 1/2=?
your answer is 3.5 cups of flour

your fraction is 3 & 1/2

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