If Ms. Callahan has 24 feet of fencing, and she is building a pen, the PERIMETER of the pen must be 24 feet. The perimeter is basically the distance around a figure. The perimeter of a rectangle is equal to length plus width plus length plus width, AKA l+w+l+w, or P=2l+2w. In a rectangle, two pairs of sides are of equal length--so the two lengths and the two widths must be equal.
So, the formula is P=2l+2w. P, the perimeter, is 24, so 24=2l+2w. Let's try some values for l and see what we get for w. If the length is 1, l=1. 24=(2*1)+2w. 24=2+2w. 22=2w. w=11. So if length is 1 foot, width is 11 feet.
What if l=2? 24=(2*2)+2w. 24=4+2w. 2w=20. w=10. If l=2, w=10. And l=3? 24=(2*3)+2w. 24=6+2w. 18=2w. w=9. If l=3, w=9. Do you see a pattern? Every time we add 1 to l, we subtract 1 from w. So if l=4, w=8. If l=5, w=7. If l=6, w=6. Here, we start getting similar answers: if l=7, w=5. If l=8, w=4. Since we already know these values work, it doesn't matter whether we call it length or width. So, our answers are below.
Answer: Ms Callahan can make a pen with a length of 1 foot and a width of 11 feet, a length of 2 feet and a width of 10 feet, a length of 3 feet and a width of 9 feet, a length of 4 feet and a width of 8 feet, a length of 5 feet and a width of 7 feet, or a length of 6 feet and a width of 6 feet.
Answer: x=5.75
Step-by-step explanation:
4x+5=28
subtract 5 from both sides
4x=23
divide both sides by 4
x=5.75
Answer: 68 mL
Step 1: Write volume formula
The formula for volume is often abbreviated into V=l×w×h. This stands for volume= length×width×height.
Step 2: Substitute numbers for answer in cm
To get the answer in cm, simply substitute the numbers into the equation. Then, you may simply multiple them to solve.
V=4.0 cm×8.5 cm×2.0 cm
V= 68 cm
Step 3: Add cubed symbol
Since this is referring to volume, you will need to add the cubed symbol to the end of your answer. This will appear as a number 3 above the cm on the right side.
Step 4: Convert to mL
This is a simple step once you understand the formula to convert. Luckily for us, cm cubed (cm3)= 1 mL. Because of this, the answer will remain as 68 mL
Hope this is right and it helps you!
Answer:
28
Step-by-step explanation:
7/.25=28