Yuto left his house at 10 a.m. to go for a bike ride. By the time Yuto’s sister Riko left their house, Yuto was already 5.25 miles along the path they both took. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, over what time period in minutes, t, starting from when Riko left the house, will Riko be behind her brother?Riko will be behind Yuto when 0 ≤ t <________ minutes.
Answers
-- From the time she left the house, she gained (0.35 - 0.25) = 0.1 mile on Yuto
every minute ... closing the gap at the rate of 0.1 mile per minute.
-- If she can keep it up, she'll close the gap in (5.25 / 0.1) = 52.5 minutes.
-- Riko is behind her brother when 0 ≤ t < 52.5 minutes .
Answer:
52.5
Step-by-step explanation:
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The summer drama club charge $4 per student or admission to a play. The club borrowed $400 from parents to pay for costumes and props. After paying back the parents, the drama club had $100 left. How many students attended the summer play?
The gas tank in felizs car is 5/6 full each time he drives to or from work he uses 1/12 of a full tank of gas which equation represent the number of times feliz can drive to or from work with the gas in his tank
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Pri = (700)(0.005)(105) = 700 x 0.005 x 105
= 367.5
Answers
V=LWH
basically
volume=height times base area
so
2. V=3 times 8 times 12=288 cm^3
3. triangular prism is 1/2 of the volume of a similar rectangular prism with same measure so
V=1/2 times 4 times 10 times 15=300 cm^3
4. trapezoid base area=area of a trapezoid=(base1+base2)/2 times height so
baseaea=(4+10)/2 times 6=7 times 6=42, then basearea times height=42 times 10=420cm^3
5. cylinder area=base area times height
base=circle=pir^2
r=1/2diameter
6/2=3
base=pi3^2=9pi
area=9pi times 12=108pi cm^3
6. 24pi=4 times pir^2
divide by 4
6pi=pir^2
divd e pi
6=r^2
√6 cm=r
7. square pyramid volume=1/3 volume of similar rectangular prism so
square means base=4 times 4=16
height=9
rectangular volume=16 times 9
pyramid voluume=1/3 times 16 times 9=48 cm^3
8. solve for base side
use pythagorean theorem
slant height=hyposonuse=13
base edge=2 times of 1 of the legs so 10/2=5
so
5^2+x^2=13^2
25+x^2=169
x^2=144
x=12
height of pyramid=12
volume=1/3 times 10 times 10 times 12 times=400 cm^3
2. C
3. B
4. A
5. C
6. B
7. C
8. A
Answers
slope(m) = -2/3
(2,-5)...x = 2 and y = -5
now we sub, we r looking for b, the y int
-5 = -2/3(2) + b
-5 = - 4/3 + b
-5 + 4/3 = b
- 15/3 + 4/3 = b
- 11/3 = b
equation is : y = -2/3x - 11/3...but we need it in standard form
Ax + By = C
y = -2/3x - 11/3
2/3x + y = - 11/3....multiply by 3
2x + 3y = -11 <== standard form
Answer:
y = mx + b
slope(m) = -2/3
(2,-5)...x = 2 and y = -5
now we sub, we r looking for b, the y int
-5 = -2/3(2) + b
-5 = - 4/3 + b
-5 + 4/3 = b
- 15/3 + 4/3 = b
- 11/3 = b
equation is : y = -2/3x - 11/3...but we need it in standard form
Ax + By = C
y = -2/3x - 11/3
2/3x + y = - 11/3....multiply by 3
2x + 3y = -11 <== standard form
Find the slope of the line
Answers
So:
the line drops one unit.
Its slope is -1.
Answers
9514 1404 393
Answer:
2 and 3
Step-by-step explanation:
Let x and y represent the first and second numbers, respectively.
3x +3y = 15
4x +2y = 14
Dividing the equations by common factors, we can rewrite them to standard form:
x + y = 5
2x + y = 7
Subtracting the first equation from the second gives ...
(2x +y) -(x +y) = (7) -(5)
x = 2
Using either equation to find y, we have also ...
y = 3
The two numbers are 2 and 3.
Answer:
{3m+3n=15
4m+2n=14
Step-by-step explanation:
Answers
equals to 1/ 56 tons per trip