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
Murljashka [212]
3 years ago
11

The sum of the speeds of two trains is 723.1 miles per hour. If the speed of the first train is 10.9 mph faster than that of the

second train, find the speeds of each.
What is the speed of the first train?
Mathematics
1 answer:
Komok [63]3 years ago
8 0

9514 1404 393

Answer:

  367 miles per hour

Step-by-step explanation:

The speed of the faster train is half the total plus half the difference:

  s1 = (723.1 +10.9)/2 = 367 . . . . miles per hour

_____

<em>Check</em>

The slower train is 367-10.9 = 356.1, and the total is 723.1 mph, as required.

_____

If you want an equation, you can let x represent the faster speed. Then the total is ...

  x + (x -10.9) = 723.1

  2x = 723.1 +10.9

  x = (723.1 +10.9)/2 = 367

You might be interested in
If k is a positive integer and n = k(k + 7), is n divisible by 6 ? (1) k is odd. (2) When k is divided by 3, the remainder is 2.
olganol [36]

Answer:

1.) Yes

2.) Yes

Step-by-step explanation:

Given that

n = k(k + 7)

If k is a positive integer and n = k(k + 7), is n divisible by 6 ?

(1) k is odd. Yes.

Let assume that k = 3

Then, n = 3(3 + 7)

n = 3 × 10

n = 30.

30 is divisible by 6.

(2) When k is divided by 3, the remainder is 2. That is,

Let k = 5

Then,

5/3 = 1 remainder 2

Substitute k into the equation

n = k(k + 7)

n = 5(5 + 7)

n = 5 × 12

n = 60

And 60 is divisible by 6.

Therefore, the answer to both questions is Yes.

5 0
3 years ago
30 POINTS! Monica paid sales tax of $1.50 when she bought a new bike helmet. if the sales tax rate was 5%, how much did the stor
avanturin [10]
Hmm... well, here ya go. 

1.50 ÷ 0.05 = 30 
So, the total is $30 
As for the tax rate, including the total, it would be $31.50.

Hope I helped.  
6 0
3 years ago
Read 2 more answers
Q2. In a school, 60% of the students are girls. 50% of the girls walk to school. 20% of the boys walk to school. What percentage
Sphinxa [80]

<em>Answer:</em>

<em>38%</em>

<em>Step-by-step explanation:</em>

<em>60 percent girls</em>

<em>50 percent of girls walk</em>

<em>50 percent take the bus</em>

<em></em>

<em>40 percent boys</em>

<em>20 percent walk</em>

<em>80 percent take the bus</em>

<em></em>

<em>If there are 100 people in the school</em>

<em>60 girls</em>

<em>30 girls take the bus</em>

<em></em>

<em>40 boys</em>

<em>8 boys walk</em>

<em></em>

<em>8+30=38</em>

<em>38% of the people walk to school</em>

8 0
2 years ago
The following exchange rate is given: £1=1.35 Dollars. Convert £9 into dollars
alexandr1967 [171]

Answer:

$12.15

Step-by-step explanation:

3 0
3 years ago
A flower bed has a shape of a rectangle 9yards long and 3 yarss wide what is the area in square feet
Maslowich
It should be 81 square feet.

3 yards x 9 yards = 27 yards squares.

It asks for your answer in square feet, so you multiply by 3. This is because there are 3 feet in ever yard.

27 x 3 feet = 81 square feet.
8 0
3 years ago
Other questions:
  • Please help me with the steps on solving this please would help a lot..
    15·1 answer
  • To determine her heart rate , Miranda divides up her day into three​ parts: morning,​ afternoon, and evening. She then measures
    8·2 answers
  • The area of a triangle is discrete or continuous
    11·1 answer
  • George and his dad made some snack mix for their camping trip. To make it, they used 2 cups of mini pretzels, 3/4 cup of peanuts
    14·1 answer
  • 2y - 4 = 9. What is y?
    15·2 answers
  • Help me to do b no question ​
    7·2 answers
  • Complete the equation of the line whose y- intercept is (0,5) and slope is -9
    13·1 answer
  • Lucky you! You went to couponcabin.com and found a 20% off coupon to your significant other’s favorite store. Armed with that co
    14·1 answer
  • Find the squares of (p-3)<br>​
    9·2 answers
  • F (x) = √x + 9 what is the domain?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!