a charter bus travels 210 miles in 3 1/2 hours. assume the distance traveled is directly proportional to the time traveled. write and solve a direct variation equation to find how far the bus travel in 6 hours.
Answers
Direct variation formula: y = kx
y = 210
x = 3 1/2 miles
k = ?
k = y/x
k = 210 / 3 1/2 miles
*convert mixed fraction into a simple fraction
3 1/2 = (3*2+1)/2 = 7/2
k = 210 ÷ 7/2
Remember the rule of dividing fractions: multiply the 1st fraction by the reciprocal of the 2nd fraction.
1st fraction = 210 ⇒ 210/1
2nd fraction = 7/2 ⇒ reciprocal = 2/7
k = 210/1 * 2/7 = (210*2)/(1*7) = 420/7 = 60
The constant of variation is 60 miles.
To check:
y = kx
y = 60 (3.5)
y = 210 miles
Cross multiply:
? miles* 3 1/2 hours= 210 miles* 6 hours
⇒ ? miles= 210 miles* 6 hours/ (3 1/2 hours)= 360 miles.
The bus would travel 360 miles in 6 hours~
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Then put the decimal in the same spot as the dividend (the number being divided)
divide by 9 to 6,,,, u cant divide so put a decimal [ 0. ] then put 1 back to 6 and divide 61 by 9 u get [ 6 ] and remains 7 put 0 back of 7 and do the same process
u will get 0.6777777777777777
Answers
36 square pieces of cake can be cut from the rectangular cake.
What is rectangle?
"A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles."
What is square?
"A square is a shape that has four straight sides of the same length and four angles of 90 degrees"
It is given that the cake is a rectangle and squares are cut from it.
To find the area of the cake:
Area = 22.5 × 10
= 225
The area of each square piece cut from the cake:
Area = 2.5²
=6.25
To find the number of pieces cut, divide the area of the cake by the area of each piece.
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so divide the area of the cake by the area of each piece to find how many pieces can be cut.
225/6.25=36 36 pieces of cake can be cut from the cake
Answers
area=pir^2
area=256pi
256pi=pir^2
divide both sides by pi
256=r^2
squaer root
16=r
find r and d
d=2r
d=2(16)
d=32
radius=16ft
diameter=32ft
area=256pi
256*3.14=3.14*r^2
divide both sides by 3.14
256=r^2
square root
16=r
DIAMETER:
3.Now double the radius to get the diameter.32 is the diameter.
radius=16ft
diameter=32ft
Answers
Answer:
The actual length of the lion enclosure is 181.25 feet.
Step-by-step explanation:
Given:
An artist makes a scale drawing of a new lion enclosure at the zoo.
The scale is 1 in : 25 ft.
On the drawing, the length of the enclosure is 7.25 inches.
Now, to find the actual length of the lion enclosure in feet.
Let the actual length of the lion enclosure in feet be
As given the scale is 1 in : 25 ft.
So, 1 in is equivalent to 25 ft.
Thus, 7.25 inches is equivalent to
Now, to get the actual length of the lion enclosure by using cross multiplication method:
By cross multiplying we get:
Therefore, the actual length of the lion enclosure is 181.25 feet.
Answers
If a real world problem assumption of having pen to Kelly and Allen then Kelly have 8 pens and Allen purchase 12 pens.
Linear Equation:
A linear equation is an algebraic equation that have some constants and some variables formed in degree one of variable form.
Kelly and Allen purchasing some pens together and if Allen purchase some pen but Kelly purchase 8 more than Allen. Also the total purchasing is 20 then we have to find number of pens for each one.
According to the condition we have linear equation
How to find solution of linear equation in one variable?
Number of pens purchased by Allen + Number of pens purchased by Kelly = 20
y + 8 = 20
Subtract 8 from both the sides we have
y = 12
Therefore Allen purchase 12 and Kelly purchase 8 pens.
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y + 8 = 20
Subtract 8 from both sides.
y = 12
Bella has 12 carrots.
Answers
Answer:
M = -2
Step-by-step explanation:
-17 + 62 = -5 (3M - 3) Distribute -5 into the parentheses and combine like terms
45 = -15M + 15 Subtract 15 from both sides
30 = -15M Divide 15 from both sides
M = -2