Answer:
1440 m³
1200 m³
Step-by-step explanation:
A local aquarium purchased a new turtle tank for their giant turtle exhibit.
If the dimensions of the tank are 15 m by 12 m by 8 m and the tank is of a cuboid shape and its volume is given by, V = (Length) × (Width) × (Height), then the volume of the tank will be
V = 15 × 12 × 8 = 1440 m³.
Again, if the dimensions of the tank are 15 m by 8 m by 10 m, then its volume will be
V = 15 × 8 × 10 = 1200 m³ (Answer)
So practically, it’s asking you to rearrange the formula to make it equal the value given:
h=A/ 1/2b
w=V/lh
b=A/h
Answer:
y = 1/3x+6
Step-by-step explanation:
y = -3x+2 is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is -3
Perpendicular lines have slopes that are negative reciprocals
The slope of the perpendicular line is -1/-3 = 1/3
The equation of the new line is
y = 1/3x +b
Using the point that passes through the line ( 6,8) and substituting in for x and y
8 = 1/3(6) +b
8 = 2+b
8-2 =b
6 =b
The equation becomes
y = 1/3x+6
The question is incomplete:
James has dimes and quarters saved up in his change jar. He has a total of 162 coins totaling $31.20 what is the total amount james has in quarters?
a. $10.00
b. $6.20
c.$15.50
d.$25.00
Answer:
d.$25.00
Step-by-step explanation:
With the information provided, you can write the following equations given that dimes are equal to 0.10 and quarters to 0.25 to determine the number of dimes and quarters that James has:
x+y=162 (1)
0.10x+0.25y=31.20 (2), where:
x is the number of dimes
y is the number of quarters
First, you can solve for x in (1):
x=162-y (3)
Then, you have to replace (3) in (2) and solve for y:
0.10(162-y)+0.25y=31.20
16.2-0.10y+0.25y=31.20
0.15y=31.20-16.2
0.15y=15
y=15/0.15
y=100
Finally, you have to replace the value of y in (3) to find x:
x=162-100
x=62
Now, you know that James has 100 quarters and you can multiply this number for the value of a quarter to find the amount James has in quarters:
100*0.25=25
According to this, the answer is that James has $25 in quarters.
#4: 4/2 reduced equals 2, so the probability of drawing a number is 2.
#2: The probability of picking a blue card would be certain because there are only blue cards in the bag.
There, I did two for ya :)
