Answer:
Step-by-step explanation:
the formula is a_{1}+(n-1) d
so a_{1} would be the first number in the sequence, which would be 13 in problem 9.
13+(n-1)d
then you put in n, which is 10 (it represents which number in the sequence you're looking for, for example 16 is the second number in the sequence)
13+(10-1)d
then you find the difference between each number, represented by d which in this case is 3
13+(10-1)3
13+(9)3
13+27=
40
<u>Answer-</u> 0.05 lit of propane fuel will your friend need in order to boil 10 cups of water.
<u>Solution- </u>
The more efficient the stove is ,less the fuel you need to burn.
so efficiency and amount of fuel needed are inversely proportional with each other.
Given
Your stove is 25 percent = 0.25 efficient ,will boil 10 cups of water, using 0.1 lit of fuel .
0.25 × 2 = 0.5 =50 percent efficient stove ,will boil 10 cups of water, using 0.1/2 = 0.05 lit of fuel.
(∵ As multipling a factor of 2 with efficiency will make the amount of fuel needed half.)
Answer:
x=16
Step-by-step explanation:
1/2 ( x - 4 ) = 1/3 ( x + 2)
distribute both sides
1
/2
(x−4)=
1/
3
(x+2)
(
1
/2
)(x) + (
1/
2
)(−4) =(
1
/3
) (x)+(
1/3
)(2)(Distribute)
1
/2
x+−2=
1
/3
x+
2
/3
1
/2
x+−2=
1
/3
x+
2
/3
Step 2: Subtract 1/3x from both sides.
1/2x -2 -1/3
x
x=
1
/3
x +
2/3 −
1/
3
x
1
/6 x−2=
2/
3
Step 3: Add 2 to both sides.
1
/6
x −2+2=
2/
3 +2
1
/6
x =
8
/3
Step 4: Multiply both sides by 6.
6*(
1/6
x) =6*(
8
/3
)
x=16
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-4, 7)
Point (2, -8)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract/Add:
- Simplify:
