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Complete Question
Peyton is a sprinter who can run the 40-yard dash in 4.5 seconds. He converts his speed into miles per hour, as shown below.
Which ratio is incorrectly written?
40 yd/4.5 sec • 3 ft/1 yd • 5280ft/1 mile • 60 sec/1 min • 60 min/1 hr
Answer:
5280ft/1 mile is the incorrect ratio
Hence, 40-yard dash in 4.5 seconds = 18.2 miles per hour(mile/hr)
Step-by-step explanation:
We are to convert 40 yards per 45 seconds to Mile per hour.
We are given the following conversion ratios:
40 yd/4.5 sec • 3 ft/1 yd • 5280ft/1 mile • 60 sec/1 min • 60 min/1 hr
The incorrect ratio is 5280ft/1 mile .
It should have been written as 1 mile/5280 ft.
Hence,
40 yd/4.5 sec • 3 ft/1 yd • 1 mile/5280ft• 60 sec/1 min • 60 min/1 hr
= 432000mile/23700 hr
= 18.181818182 mile/hr
Approximately= 18.2mile/hr
Answer: $54.50
Step-by-step explanation: If the bank account is currently overdrawn by $25.50, and then they deposit $20 per month for four months, they will have $54.50 in the account at the end of 4 months.
It is solved by multiplying 4 months x $20 = $80
Next, subtract (or add a negative) -$25.50 = $54.50
Answer:
The answer is 7
Step-by-step explanation:
2 negative numbers would equal a positive number.
so,Bascially it's like your just taking 8 away from 1.
Answer:
Step-by-step explanation:
The system of equations given are:
5x - y + z = -6 ------------- i
2x + 7y + 3z = 8 ---------- ii
x + 2z = 6 ----------------- iii
Let us deal with equation i and ii first since they have 3 variables x, y and z;
5x - y + z = -6 x 7
2x + 7y + 3z = 8 x 1
35x - 7y + 7z = -42 ---- iv
2x + 7y + 3z = 8 ---- v
Add equation iv and v;
37x + 10z = -34 ------vi
So, let us solve equation vi and iii:
x + 2z = 6 - ---------- iii x 10
37x + 10z = -34 --- iv x 2
10x + 20z = 60 vi
74x + 20z = -68 vii
Subtract vi - vii;
-64x = 128
x = -2
So; put x = -2 into iii;
x + 2z = 6
-2 + 2z = 6
2z = 6 + 2 = 8
z = 4
Put x = -2 and z = 4 into equation i;
5(-2) - y + 4 = - 6
-10 -y +4 = -6
-6 - y = -6
-y = 0
y = 0
A line in point-slope form has the equation
y = mx + b
where m=slope (increase in y for unit increase in x), and
b=y-intercept (value of y where line cuts y-axis)
The original line is
y=(-1/2)x + 11
so
slope = m = -1/2
Any line perpendicular to a line with slope m has a slope of m1=-1/m
So the slope m1 of the required line
m1 = -1 / (-1/2) = +2
and the required line therefore has an equation of
y=2x+b
Knowing that the line passes through P1=(x1, y1)=(4,-8), we can find b using the point slope form of a line with slope m : (y-y1) = m(x-x1)
where m=+2 as found above.
Substituting values, m=+2, x1=4, y1= -8
y-(-8) = +2(x--4)
simplify
y+8 = 2x-8
=>
y=2x-16 (in point slope form)
