1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
forsale [732]
2 years ago
9

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

uppose Robert and Sam continue to race to the finish line without changing their rates of speed. By how many meters will Robert beat Sam?
Hint: By how many meters would Robert beat Sam if the race were 50 meters? 100 meters? 150 meters?
Mathematics
1 answer:
Lelechka [254]2 years ago
5 0

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.

You might be interested in
Which of the following shows the Distributive Property of Multiplication of 4 x 24?
Nana76 [90]
The answer is (4x20) + (4x4) which equals 96
5 0
2 years ago
Solve for x: one over five (5x + 12) = 18 (2 points)
Usimov [2.4K]
If you mean the equation 1/5 (5x +12) =18 then your answer would be x=15.6 or in the exact form of 78/5

Explanation : Start off with distributive property 1/5•5x and 1/5 •12, your equation should end up with 1x +2.4 =18 continue by using the 2.4 and doing the opposite, you will have 1x+2.4-2.4=18-2.4, after calculation you will have 1x=15.6 ,you can finish there or you can divide the 15.6 by one witch is still 15.6 , therefore getting your answer that is x=15.6
8 0
3 years ago
How do you add single digit numbers
Solnce55 [7]
Often with regrouping of 2 numbers then counting them once all together
5 0
3 years ago
Read 2 more answers
Can somebody please help me with this ?
mrs_skeptik [129]
Domain is the values of y. 
Plug the x values in the equation to find the corresponding y values:
when x=0, y=3
when x=2, y=-1
when x=-6, y=15
so the answer is D
6 0
3 years ago
so, I need to just find the missing length, if you can, please explain the pythagorean theorem to find the missing side. I don't
ANTONII [103]

The surface area of the triangular prism is 828 in².

Solution:

Let the missing length of the triangle be x.

Using Pythagoras theorem,

In right triangle, square of the hypotenuse is equal to the sum of the squares of other two sides.

12^2+x^2=15^2

144+x^2=225

Subtract 144 on both sides of the equation.

x^2=225-144

x^2=81

Taking square root on both sides, we get

x = 9

The missing length of the triangle is 9 in.

Area of the front triangle = \frac{1}{2}\times 12\times 9

                                         = 54 in²

Area of the back triangle = \frac{1}{2}\times 12\times 9

                                         = 54 in²

Area of the sloping rectangle = 20 × 9

                                                 = 180 in²

Area of the back rectangle = 20 × 12

                                             = 240 in²

Area of the base rectangle = 20 × 15

                                             = 300 in²

Total area = 54 in² + 54 in² + 180 in² + 240 in² + 300 in²

                 = 828 in²

The surface area of the triangular prism is 828 in².

4 0
3 years ago
Other questions:
  • Can someone answer this?
    12·2 answers
  • Hirva ate 5/8 of a medium pizza. Elizabeth ate 1/4 of the pizza. How much pizza did they eat altogether?
    11·2 answers
  • Find the distance and midpoint for the following coordinates.<br> P(7.6 , 10.1) and Q(4.6 , 3.1)
    10·1 answer
  • Given the system of equations, what is the value of the system determinant?
    14·2 answers
  • Please help asap! Will give brainliest! Please answer correctly!<br> No guessing!
    11·2 answers
  • Orwell building supplies' last dividend was $1.75. Its dividend growth rate is expected to be constant at 38.00% for 2 years, af
    14·1 answer
  • Find The GCF of 24 and 80 and Find the LCM of 24 and 40 ​
    13·2 answers
  • How many times does the minute hand move around the clock face in one day?
    11·2 answers
  • Solve for x.
    5·1 answer
  • the equation s=2√5x can be used to estimate the speed ,s,of a car in milles per hour, given the length in feet ,x, of the tire m
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!