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ivanzaharov [21]
3 years ago
13

You jog 2 kilometers in 12 minutes. Your friend jogs 3 kilometers in 16.5 minutes. Who jogs faster? How much sooner will the fas

ter jogger finish a five-kilometer race?​
Mathematics
2 answers:
noname [10]3 years ago
7 0

Answer :

Person 2 jogs faster as compared to person 1.

The time taken by the faster jogger finish a five-kilometer race will be, 27.5 minutes.

Step-by-step explanation :

First we have to calculate the speed of person 1 and 2.

Formula used :

Speed=\frac{Distance}{Time}

\text{Speed of person }1=\frac{Distance}{Time}=\frac{2km}{12min}=0.167km/min

and,

\text{Speed of person }2=\frac{Distance}{Time}=\frac{3km}{16.5min}=0.182km/min

From this we conclude that, person 2 jogs faster as compared to person 1.

Now we have to calculate the time taken by the faster jogger finish a five-kilometer race.

Faster jogger speed = 0.182 km/min

Distance = 5 km

Speed=\frac{Distance}{Time}

0.182km/min=\frac{5km}{Time}

Time=27.5min

Thus, the time taken by the faster jogger finish a five-kilometer race will be, 27.5 minutes.

Studentka2010 [4]3 years ago
4 0

Answer:

your friend jogs faster

Step-by-step explanation:

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Answer of 9 = 7 because those red arcs mean that both of those angles are the same, so if the angle on the right is 7, the angle on the left is 7

Answer of 11 = 60, because this is a equilateral triangle, which means all the sides are the same.

180 - 60 = 120                    (180 is in the equation because all interior sides of a triangle add up to 180)

120 divided by 2 = 60

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3 years ago
Read 2 more answers
Elise bought a dress that was discounted 35% off of
bixtya [17]

Answer:

a: $49

b: $91

Explaination:

a: 35% of 140 = 49

b: 140 - 49 = 91

You're welcome! <3

6 0
3 years ago
Eight times the reciprocal of a number equals 2 times the reciprocal of 10. Find the number.
Marat540 [252]

Answer:x=40

Step-by-step explanation:

To find this

8 times the reciprocal of a number

We get

Assume the number is x

8×1/x=2×1/10

8/x=2/10

8/x=1/5

Cross multiply

x=40

5 0
3 years ago
Solve the following problems using 5-D process part 2
svet-max [94.6K]

The two problems are almost identical: you have to set up a system, and then solve it.

In the first case, let g and b be, respectively, the number of girls and boys.

We know that g=2b+4 (the number of girls in the Spanish Club is four more than twice the number of boys). Also, we know that g+b=61 (there are 61 students in total).

So, we have the system

\begin{cases}g=2b+4\\g+b=61\end{cases}

We can use the first equation to substitute in the second

g+b=61 \iff (2b+4)+b=61 \iff 3b+4=61 \iff 3b=57 \iff b=19

And then solve for g:

g=2b+4=2\cdot 19+4=38+4=42

For the second problem, let c and j be the number of pins knocked down by, respectively, Carrie and John. Just like before, we have the system

\begin{cases}c=j+12\\c+j=230\end{cases}

And you can solve it in the very same way we solved the previous one.

5 0
3 years ago
Alex and payton each have a favorite pancake recipe. Alexs recipe uses 7 1/2 cups of flour for 5 batches, paytons recipe uses 3/
Elina [12.6K]

Answer:

9/4z cups

Step-by-step explanation:

Alex recipe uses 7 1/2 cups of flour for 5 batches

Cups of flour per batch = 7 1/2 cups ÷ 5 batches

= 15/2 ÷ 5

= 15/2 × 1/5

= (15*1)/(2*5)

= 15/10

Alex recipe per batch= 3/2 cups of flour per batch

paytons recipe uses 3/4 cup of flour more per batch than alexs recipe

Payton's recipe per batch = Alex recipe per batch + 3/4 cups

= 3/2 + 3/4

= (6+3)/4

= 9/4 cups of flour

Payton's recipe per batch = 9/4 cups of flour

What expression can be used to determine the number of cups of flour used to make z batches of paytons pancake recipe

Payton's recipe for z batches = Payton's recipe per batch * number of batches

= 9/4 cups * z batches

= 9/4z cups

Payton's recipe for z batches = 9/4z cups

3 0
3 years ago
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