Solve the equation. 33 = p - 6.71
a. 39.71
b. 26.29
c. 39.71
d. 26.29
Answers
Add 6.71 on both sides
33 + 6.71 = p - 6.71 + 6.71
p = 33 + 6.71
p = 39.71
Your final answer is a. 39.71 and c. 39.71.
hope it would help
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Solve the following pair of linear equations using substitution method
Answers
50 + 30 = 80
Answers
The solution is, Sam has 5 dimes and 7 quarters.
What is equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
Sam has $2.25 in quarters and dimes, and the total number of coins is 12.
let, Sam has n₁ dimes and n₂ quarters.
then, we have,
n₁*$0.10 + n₂*$0.25 = $2.25
and, we have,
n₁ + n₂ = 12
This means that:
n₁ = 12 - n₂
And:
(12 - n₂)*$0.10 + n₂*$0.25 = $2.25
12*$0.10 - n₂*$0.10 + n₂*$0.25 = $2.25
$1.20 + n₂*$0.05*(5-2) = $2.25
$1.20 + n₂*$0.05*3 = $2.25
$1.20 + n₂*$0.15 = $2.25
n₂*$0.15 = $2.25 - $1.20
n₂*$0.15 = $1.05
n₂ = ($1.05)/($0.15)
n₂ = 7
If n₂ = 7:
n₁ + 7 = 12
Therefore, n₁ = 5.
Answer:
5 dimes and 7 quarters.
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n₁ + n₂ = 12
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This means that:
n₁ = 12 - n₂
And:
(12 - n₂)*$0.10 + n₂*$0.25 = $2.25
12*$0.10 - n₂*$0.10 + n₂*$0.25 = $2.25
$1.20 + n₂*$0.05*(5-2) = $2.25
$1.20 + n₂*$0.05*3 = $2.25
$1.20 + n₂*$0.15 = $2.25
n₂*$0.15 = $2.25 - $1.20
n₂*$0.15 = $1.05
n₂ = ($1.05)/($0.15)
n₂ = 7
If n₂ = 7:
n₁ + 7 = 12
Therefore, n₁ = 5.
---------
Answer:
5 dimes and 7 quarters.
Answers
Answers
Answer:
Therefore you have to run every mile in ~ 8 minutes.
Step-by-step explanation:
10 miles - 3 miles = 7 miles left.
1 hour 20 minutes - 24.7 minutes= 80 minutes - 24.7 minutes
= 55.3 minutes left
Therefore, you have 55.3 minutes left to run 7 miles. But since you want to finish in LESS than 1 hour and 20 minutes, subtract the .3.
So:
7 miles = 55 minutes
1 mile x minutes
x minutes= 55 x 1 ÷ 7 miles
x minutes = 7.85
x minutes = ~ 8 minutes
Therefore you have to run every mile in ~ 8 minutes.
Hope this helps!
Answers
b) What is the acceleration of a car moving at 8m/s around a curve with a radius of 2.5m?
Answers
The smallest radius will be, r = 5 m. And the acceleration of a car is, a = 25.6 m/s².
What is acceleration?
Acceleration is the ratio of the change of the velocity with respect to time or the rate of change of the velocity.
a.The relation between the velocity, the radius of the path, and the acceleration on the circular path is given by :
Acceleration, a = 39.2 m/s²
Velocity of the car, v = 14 m/s
The radius of the path can be calculated using the above formula i.e.
r = 5 m
b. Velocity of the car, v = 8 m/s
The radius of the path, r = 2.5 m
The acceleration of the car is given by :
a = 25.6 square meter.
Therefore, the smallest radius will be, r = 5 m. And the acceleration of a car is, a = 25.6 m/s².
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v=sqrt(ar)
v^2=ar
r=(v^2)/a
r=(14^2)/39.2
r=5
5 m
b)
v=sqrt(ar)
v^2=ar
a=(v^2)/r
a=(8^2)/2.5
a=25.6
25.6ms^-2