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Troyanec [42]
2 years ago
12

Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour.

He traveled for a total of 3 hours. Which equation can be used to find the time it took Stu to hike the trail? 3t = 5 3t = 5(3 – t) 3 + t = 5 + (3 – t) 3t + 5(3 – t) = 3
Mathematics
2 answers:
Andrews [41]2 years ago
3 0
3t = 5(3-t)
3t = 15 - 5t
3t + 5t = 15
8t = 15
t = 15/8
t = 1 7/8 

7/8 * 60 mins = 52.50 minutes

t = 1 hour and 52.5 minutes

It took Stu 1 hour and 52.5 minutes to hike the trail one way.
AnnyKZ [126]2 years ago
3 0

Answer:

B

Step-by-step explanation:

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Jing spent 1/3 of her money on a pack of pens, 1/2 of her money on a pack of markers, and 1/8 of her money on a pack of pencils.
Reika [66]

As per the problem

Jing spent \frac{1}{3} of her money on a pack of pens.

\frac{1}{2} of her money on a pack of markers.

and \frac{1}{8} of her money on a pack of pencils.

Total fraction of money spent cab be given as below

Fraction of Money Spent =\frac{1}{3} +\frac{1}{2}+\frac{1}{8}

Take the LCD of denominator, we get LCD of (3,2,8)=24

Fraction of Money Spent =\frac{8+12+3}{24} =\frac{23}{24} \\\\

\\ \text{Hence fraction of Money Spent }=\frac{23}{24} \\ \\ \text{Fraction of Money left}=1-\frac{23}{24} \\ \\ \text{Simplify, we get}\\ \\ \text{Fraction of Money left}=\frac{24-23}{24} \\  \\ \text{Fraction of Money left}=\frac{1}{24}

3 0
2 years ago
Read 2 more answers
In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer.
AysviL [449]

Answer:

< CFE = 40°

Step-by-step explanation:

To better understand the solution, see attachment for the diagram.

Given:

BC parallel to DE

Measure of Arc BD = 58°

Measure of Arc DE = 142°

First step: Draw a diameter that passes through the centre of the circle and name it. In this case, the diameter is line ST.

The line ST divides the arc BD and arc DE into half.

That is:

Arc SC = 1/2(arc BC) =1/2(58)

Arc SC = 29°

Arc TE = 1/2(arc DE) =1/2(142)

Arc TE = 71°

Arc SC + Arc CE + Arc TE = 180° (Sum of angles in a semicircle

29° + Arc CE  + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Inscribed angle = 1/2(intercepted angle)

<CFE = 1/2(Arc CE )

<CFE = 1/2(80)

< CFE = 40°

5 0
1 year ago
What is the result of substituting for y in the bottom equation?
zhenek [66]

Answer:

(A)x + 3= x^2 + 2x-4

Step-by-step explanation:

Given the equations:

y = x + 3\\y= x^2 + 2x-4

Substitution simply means replacing the variable y in the second equation with its equivalent x+3 from the first equation.

Substitution of y into y=x^2 + 2x-4 gives us:

x + 3= x^2 + 2x-4

The correct option is A.

6 0
2 years ago
1. Write 3,876,943,000 using scientific notation.
Sunny_sXe [5.5K]

Answer:

3.876943x10^9

7.317x10^-4

Step-by-step explanation:

3,876,943,000

Put the decimal at the end

3,876,943,000.

Move it so only 1 number is before the decimal

3.876943000

We moved it 9 places, so that is the exponent

We moved it to the left, so the exponent is positive

The three zeros at the end can be dropped because they are the last numbers to the right of the decimal

3.876943x10^9

0.0007317

Move it so only 1 number is before the decimal

00007.317

We moved it 4 places, so that is the exponent

We moved it to the right, so the exponent is negative

The four zeros at the left can be dropped because they are the last numbers to the left of the whole number

7.317x10^-4

8 0
2 years ago
If the pointer in the figure is spun twice, find the probability that the pointer lands on red (R) both spins.
r-ruslan [8.4K]

The probability of the pointer lands on red(R) both spin = \frac{1}{36}

Step-by-step explanation:

Given,

The number of parts = 6

The pointer is spun twice.

To find the probability of the pointer lands on red(R) both spin.

Formula

Probability of an event = number of required outcomes ÷ the total number of outcomes.

P(A and B) = P(A)×P(B)

Now,

For one spin,

A = RED comes.

For second spin,

B = RED comes

So,

P(A) = \frac{1}{6} and P(B) =  \frac{1}{6}

Then,

P(A and B) =  \frac{1}{6} × \frac{1}{6}  = \frac{1}{36}

Hence, the probability of the pointer lands on red(R) both spin = \frac{1}{36}

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2 years ago
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