Write the ratio 48 to 24 as a simplified fraction

7.60. When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. S

Lelechka [254]

Answer:

The number of meters Robert will beat Sam is 12 meters.

Step-by-step explanation:

Given:

When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed.

Find:

the number of meters by which Robert will beat Sam

Step 1 of 1

When Paul finishes, Robert has run 60-10=50 meters and Sam has run 60-20=40 meters.

Therefore, when Robert and Sam run for the same amount of time, Sam covers $\frac{40}{50}=\frac{4}{5}$ of the distance that Robert covers. So, while Robert runs the final 10 meters of the race, Sam runs $\frac{4}{5} \cdot 10=8$ meters.

This means Robert's lead over Sam increases by 2 more meters, and he beats Sam by 10+2=12 meters.

5 0

1 year ago

Which numbers in Set A = {−7, −4, 2, 14, 21, 34, 42} are elements of both Set B and Set C, shown below? Set B = {even numbers} S

sweet [91]

Answer:

14, 42

Step-by-step explanation:

Set A = {−7, −4, 2, 14, 21, 34, 42}

Set B = {even numbers}

Set C = {multiples of 7}

There is only one question asked

Which numbers in Set A are elements of both Set B and Set C,

We need it to be even and a multiple of 7

14 is even and a multiple of 7 and 42 is even and a multiple of 7

5 0

3 years ago

Read 2 more answers

LCM for 2 and 13 plz help me out

Andrei [34K]

[ Answer ]

$\boxed{\bold{LCM \ = \ 26}}$

[ Explanation ]

Find LCM For 2 & 13

-------------------------------------

LCM - The smallest number that two or more numbers can evenly fit into

LCM - What We Know
2 & 13 Must Evenly Fit
Must Be Smallest Number They Both Fit Into
Multiple Of Two Or More Numbers

The Smallest Number That Both 2 & 13 Evenly Fit Into Is 26

26 ÷ 2 = 13

26 ÷ 13 = 2

$\boxed{\bold{[] \ Eclipsed \ []}}$

5 0

3 years ago

Use properties of addition and subtraction to evaluate the expression. −24−8−26 Enter your answer in the comments below.

Sav [38]

The answer to this would be -58

6 0

2 years ago

What is the equation, in standard form, of a parabola that models the values in the table?

love history [14]

Answer:

$Y=4x^2+3x-6$

Step-by-step explanation:

For the standard form equation to model the values in the table, each value of x in the table should give the matching the y value when substituted into the equation. We will test each equation:

$Y=3x^2+4x-6$ for (-2,4)