Answer:
1) 6
2)4
3)27
4)126
5)15
Step-by-step explanation:
1. We need to see how many 8-miles are in 24 miles, than multiple it with 2in.
(24/8)*2=3*2=6in
2. Fist we calcue how many 17-feets are in 68feets, and multiple that with 1in.
(68/17)*1=4
3. We first see how many 3ins are in 9ins, and than multiple that with 9feet
(9/3)*9=3*9=27
4. First see how many 2ins are in 36ins, and then multiple it with 7.
(36/2)*7=18*7=126feet
5. See how many 15fts are in 75ft And than multiple it with 3.
(75/15)*3=5*3=15
Answer:
C
Step-by-step explanation:
Answer:
y = ½(13- x)
Step-by-step explanation:
Step 1. Find the<em> slope (m₁) of the original line
</em>
The equation for the original line is
y = 2x - 6
slope = m₁ = 2
Step 2. Find the <em>slope (m₂) of the perpendicular line
</em>
m₂ = -1/m₁ Substitute the value of m₁
m₂ = -1/2
Step 3. Find the <em>equation for the perpendicular line</em>
y = mx + b Substitute the value of m₂
y = -½x + b
The line passes through (5, 4).
4 = -½(5) + b Add 5/2 to each side
4 = -5/2 + b Add 2 to each side
b = 13/2
y = -½x + 13/2
y = ½(13 – x)
In the image, below, the red line is the graph of your original equation.
The blue line passing through (5, 4) is the perpendicular line.
The expression \[b^{-3\2} , b>0 \] is the equivalent to;
=1/b3/2=1/b3−−√
Function rule: a = 20w + 115
Slope: 20
Initial value: 115
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We start with $115 in the account. This is the initial value. Each week we add on $20.
So we add $20 for 1 week
We add 2*20 = $40 for 2 weeks
We add 3*20 = $60 for 3 weeks
etc etc
In general, we add 20*w dollars for w weeks onto 115 to get a = 20w+115
The slope is 20 because this is the rate of change, ie how fast the account grows. It grows 20 dollars per week.