Answer:
- 1) y = 13.5x + 1
- 2) y = 12x + 4
- 3) Sam won the race
Step-by-step explanation:
<h3>Part 1</h3>
Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.
<u>The distance after x seconds is:</u>
<h3>Part 2</h3>
Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.
<u>The distance after x seconds is:</u>
- y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4
<h3>Part 3</h3>
<u>After 15 seconds the distance from the start line is:</u>
- Sam ⇒ y = 13.5*15 + 1 = 203.5 ft
- Alice ⇒ y = 12*15 + 4 = 184 ft
As we see Sam is further from the start line than Alice
Answer:
see explanation
Step-by-step explanation:
To find x use the sine ratio in the right triangle and the exact value
sin60° =
, then
sin60° =
=
=
( cross- multiply )
x
= 28
( divide both sides by
)
x = 28
-----------------------------------------------------------
To find y use the tangent ratio in the right triangle and the exact value
tan60° =
, then
tan60° =
=
=
( multiply both sides by y )
14
= y
( divide both sides by
)
y = 14
Answer:
#1 - All real numbers are solutions.
#2 - All real numbers are solutions.
Step-by-step explanation:
#1 -
Let's solve your equation step-by-step.
12(6t−4)=3t−2
Step 1: Simplify both sides of the equation.
12(6t−4)=3t−2
(12)(6t)+(12)(−4)=3t+−2(Distribute)
3t+−2=3t+−2
3t−2=3t−2
Step 2: Subtract 3t from both sides.
3t−2−3t=3t−2−3t
−2=−2
Step 3: Add 2 to both sides.
−2+2=−2+2
0=0
Same for #2
Answer:
is in proportion.
is not in proportion.
is in proportion.
is in proportion.
Step-by-step explanation:
The first example is
and it is in proportion.
This is because, you will get the same simplest fraction (
) from the fraction
by dividing its numerator and denominator by 5.
The second example is
and it is not in proportion.
This is because, you can not get the simplest fraction (
) from the fraction
after simplification.
The third example is
and it is in proportion.
This is because, you will get the same simplest fraction (
) from the fraction
by dividing its numerator and denominator by 2 and from the fraction
by dividing its numerator and denominator by 3.
The fourth example is
and it is in proportion.
This is because, you will get the same simplest fraction (
) from the fraction
by dividing its numerator and denominator by 5. (Answer)
Answer:
30 goals last season
Step-by-step explanation:
Goals this season = 8
Goals this season = 1/3 of goals last season - 2
Let Goals scored last season = x
Therefore,
8 = 1/3x - 2
8 = x/3 - 2
8 + 2 = x / 3
10 = x / 3
x = 10 * 3
x = 30
Sara scored 30 goals last season