Ask question

Ask question

All categories

Karo-lina-s [1.5K]

2 years ago

15

A jogger ran 6 laps in eight minutes. How many laps did he run in 1 minute

1 answer:

Leokris [45]2 years ago

7 0

6 laps - 8 min
x laps - 1 min

$x=\frac{1\cdot6}{8}\\
x=0.75
$

You might be interested in

1. What is the value of the y variable in the solution to the following system of equations?

ollegr [7]

Part 1)

we have

$3x-6y=3$ ------> equation A

$7x-5y=-11$ ------> equation B

Multiply by $-7$ the equation A

$-7(3x-6y)=-7*3$

$-21x+42y=-21$ ------> equation C

Multiply by $3$ the equation B

$3*(7x-5y)=-11*3$

$21x-15y=-33$ -------> equation D

Adds equation C and equation D

$-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2$

therefore

<u>the answer Part 1) is the option A </u>

$y=-2$

Part 2)

we have

$3x+y=6$

$y=-3x+6$ ------> equation A

$6x+2y=8$

Simplify Divide by $2$ both sides

$3x+y=4$

$y=-3x+4$ ------> equation B

the lines A and B are parallel lines, because the slope m is equal

so

The system has no solution

therefore

<u>the answer Part 2) is the option D</u>

There is no x value as there is no solution to the system.

Part 3)

we have

$4x+2y=6$ ------> equation A

$x-y=3$

$y=x-3$ ------> equation B

substitute equation B in equation A

$4x+2[x-3]=6$

$6x-6=6$

$6x=12$

$x=2$

therefore

<u>the answer part 3) is the option D</u>

$x=2$

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

$x+y=1,120$

$x=1,120-y$ -------> equation A

$3x-2y=1,300$ ------> equation B

substitute equation A in equation B

$3[1,120-y]-2y=1,300$

$3,360-5y=1,300$

$5y=3,360-1,300$

$5y=2,060$

$y=412$

therefore

<u>the answer part 4) is the option D</u>

$y=412$

8 0

2 years ago

Read 2 more answers

Find the slope given these two points. (-1, 4) and (4, -3)

Paraphin [41]

Answer:

-7/5

Step-by-step explanation:

Since we have 2 points, we can find the slope using

m = ( y2-y1)/(x2-x1)

= ( -3 -4)/( 4 - -1)

( -3-4) /( 4+1)

-7/5

3 0

2 years ago

Condense this logarithm to a single logarithm <br> 6log 5u

mina [271]

Answer:

log_5(u^6)

Step-by-step explanation:

According to log rules, log_a(b^n) = nlog_a(b), reversing this we get that log_5(u^6) is what you are looking for.

3 0

2 years ago

Solve for x. 0=65892.56*x^(-1.67)

scoundrel [369]

$0=65892.56\cdot x^{-1.67}$

It would seem the only solution is 0, but $x^{-1.67}=\frac{1}{x^{1.67}}$ and the denominator of the fraction can't be equal zero, therefore there's no solution.

3 0

2 years ago

Find the probability below in the picture. (the answer isn't 14/4)

shtirl [24]

It’s
8/14 simplified is
4/7 which is also
.571

8 0

2 years ago