Proper fractions for 3(5/8) = 29/8.
<u>Step-by-step explanation:</u>
The given fraction can be converted into improper fraction as the numerator will be greater than the denominator.
3 is multiplied by 8 and then it is added to 5,
we will get 29,
and
3 (5/8) = ((3×8)+5)/8
= (24+5)/8
= 29/8
so finally 29/8 is the answer.
1) y=(7/2)x-2.
Slope is the coefficient of x, that is 7/2
Intercept x is the value of x when y = 0 ==> 0=(7/2) X - 2==> 7/2x=2 &x=4/7
so intercept x, (4/7,0)
Intercept y is the value of y when x=0 ==> y= (7/2).(0) - 2 ==> y = 2
and so intercept y, (0,-2)
Now you will follow the same logic to find the are same questions
2) y= -6x + 3 ==>Slope= -6, Intercept x =1/2 & intercept y=3
3) y=-5 has a slope 0 (it doesn't exist). The graph is a line // to x-axis at y=-5
4)y=(6/5)x + 1:==>Slope= -5/6, Intercept x =-5/6 & intercept y=1
5) y=(1/4)x + 2 ==>Slope= 1/4, Intercept x =-8 & intercept y=2
6) x=5, this ligne is // to y axis at x=-5
The average time the car took to reach each checkpoint are:
<h3>Average time</h3>
Given:
Time interval
1 2 3 4
2.02 3.17 4.12 4.93
2.05 3.07 3.98 4.81
2.15 3.25 4.23 5.01
Hence:
First quarter checkpoint
Average time= (2.02 + 2.05 + 2.15) / 3
Average time=6.22/3
Average time= 2.07s
Second quarter checkpoint
Average time= (3.17 +3.07 + 3.25) / 3
Average time=9.49/3
Average time = 3.16 s
Third quarter check point
Average time= (4.12 + 3.98 + 4.23) / 3
Average time=12.33/3
Average time= 4.11 s
Fourth quarter check point
Average time = (4.93 + 4.81 + 5.01) / 3
Average time=14.75/3
Average time= 4.917 s
Average time=4.92s (Approximately)
Therefore the average time the car took to reach each checkpoint are: 2.07, 3.16, 4.11, 4.92.
Learn more about average time here:brainly.com/question/19136062
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Answer:
Step-by-step explanation:
Use a simple interest formula.
<u>Simple interest formula:</u>
<h3>
⇒ I=Prt</h3>
- P stands for principal
- R stands for interest rate
- T stands for interest time
- (P): Principal =$2000
- (R): Interest Rate =4.6%
- (T): Interest Time =4
→ 2000*4.6%4
<u>You have to convert 4.6% into a decimal form.</u>
→ 4.6%=0.046
→ I=2000*0.046*4
<u>Solve.</u>
<u>Multiply the numbers from left to right.</u>
→ 2000*0.046*4=368
- <u>Therefore, the correct answer is 368.</u>
I hope this helps you! Let me know if my answer is wrong or not.
Isosceles triangle
ΔPQR:
∠R = ∠Q = (180° - 40°):2 = 70°
2x = 70°⇒ x = 35°
ΔSTV:
SV = TV