Answer:
shorter piece: 2 feet
longer piece: 8 feet
Step-by-step explanation:
let the shorter piece be x
then the longer piece will be 3x + 2
<u>if they join together</u>:
- 3x + 2 + x = 10
- 4x + 2 = 10
- 4x = 10 -2
- 4x = 8
- x = 2
<u>Longer piece</u>:
There are two plausible answers
1. <span><span>x = -3/5 = -0.600
</span><span>2.x = 7/2 = 3.500</span></span>
Answer:
#2 is 512mm³
#3 is 120m³
Step-by-step explanation:
#2
8³ which # 8×8×8=512mm³
#3 v=bh
v=20×6
v=120m³
Let T be total number of milligrams of vitamin C in our salad.
We have been given that there are s milligrams of vitamin C per milliliter of spinach, B mg per milliliter of berries, and D mg per milliliter of dressing.
Let us find how much mg of vitamin C our each ingredient of salad will have.
We have been given that a salad contains 300 milliliters of spinach, 200 ml of berries, and 42 ml of dressing.



To find total milligrams of vitamin C in our salad we will add milligrams of vitamin C in each of three ingredients of salad.
Therefore, our desired expression will be
.
Step-by-step explanation:
Sn= a+[n-1]d
S2= a+[2-1]d
8.5 = a+d _______Equation 1
S5 = a+[5-1]d
13=a+4d ________Equation 2
Subtract Equation 1 from Equation 2
13=a+4d
-
8.5= a+d
________
4.5= 3d
d=1.5
Substituting d=1.5 in equation 1
8.5=a+1.5
a=8.5-1.5
a=7
Sum of terms of an A.P =
Sn= n/2[2a+(n-1)d]
292= n/2[2×7+(n-1)d]
292=n/2[14+(n-1)1.5
292×2=n[14+(n-1)1.5]
584=n[14+1.5n-1.5]
584= 14n+1.5n²-1.5n
584= 1.5n²+12.5n
1.5n²+12.5n-584
1.5n²-24n+36.5n-584
1.5n(n-16)+36.5(n-16)
(1.5n+36.5)(n-16)
**n-16=0
n=16