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
Goryan [66]
3 years ago
10

A team of runners ran a relay race. Each runner ran 7 1/2 kilometers. The total length of the race was 45 kilometers. Write and

solve an equation to find how many runners were on the team. *
Mathematics
1 answer:
Travka [436]3 years ago
7 0

Answer:

6 runners

Step-by-step explanation:

Each runner ran 7.5 km.  If there were n runners, then (7.5 km)n = 45 km.

Solve this for n by dividing 7.5 km into 45 km:

n = 6

There were 6 runners.

You might be interested in
Work out the value of the first negative term of the sequence 25 - 3n
fiasKO [112]

Answer:

-2.

Step-by-step explanation:

3n must be greater than 25 for the first negative term:

3n > 25

n > 25/3

n > 8 1/3.

So n = 9 and the first negative term is 25 - 3*9

= 25 - 27

= -2.

3 0
3 years ago
Solve for X
tigry1 [53]

Answer:

x = \pm e^{-1}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Solving quadratics
  • Multiple roots

<u>Algebra II</u>

  • Logarithms
  • Euler's number e

Step-by-step explanation:

<u>Step 1: Define</u>

\displaystyle ln(x^2) = -2

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Raise both sides by e:                    e^{\displaystyle ln(x^2)} = e^{-2}
  2. Simplify equation:                           x^2 = e^{-2}
  3. Square root both sides:                 x = \pm e^{-1}
7 0
2 years ago
Read 2 more answers
How can i know if the triangles are congruent ?
MrRissso [65]
If you use the SAS theorem, you can prove the triangles are congruent. Due to vertical angles, we have one angle, and we know one side is congruent. In order to prove these triangles are simillar, we need another side
7 0
2 years ago
Read 2 more answers
An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an
Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

  • 28 students in the Spanish class,
  • 26 in the French class,
  • 16 in the German class,
  • 12 students that are in both Spanish and French,
  • 4 that are in both Spanish and German,
  • 6 that are in both French and German,
  • 2 students taking all 3 classes.

So,

  • 2 students taking all 3 classes,
  • 6 - 2 = 4 students are in French and German, bu are not in Spanish,
  • 4 - 2 = 2 students are in Spanish and German, but are not in French,
  • 12 - 2 = 10 students are in Spanish and French but are not in German,
  • 16 - 2 - 4 - 2 = 8 students are only in German,
  • 26 - 2 - 4 - 10 = 10 students are only in French,
  • 28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

\dfrac{50}{100} =0.5

B. If a student is chosen randomly,  the probability that he or she is taking exactly one language class is

\dfrac{8+10+14}{100}=0.32

C. If 2 students are chosen randomly,  the probability that both are not taking any language classes is

0.5\cdot 0.5=0.25

So,  the probability that at least 1 is taking a language class is

1-0.25=0.75

3 0
3 years ago
12 men can plant the paddy in a rupandehi of field in 10 hours how many men are required to plan the same in 6 hours only​
xz_007 [3.2K]

Answer:

20 mens

Step-by-step explanation:

12 men can plant paddy in 10 hours

1 man can plant the paddy in (10 × 12) hours

10 × 12 / 6 = 20

5 0
2 years ago
Other questions:
  • Can someone please answer all these please?
    8·1 answer
  • Answer this question please.
    13·2 answers
  • Which of the following steps were applied to ∆ABC obtain ∆A'B'C'?
    8·1 answer
  • Can any one do B and B please help me I need help me please thank you
    6·1 answer
  • Consider the following equation f(x)=(x^2+4)/(4x^2-4x-8)
    13·2 answers
  • Kelsey painted 1/4 of her bedroom in 3/7 of an hour at this rate how long would it take her to paint the entire room
    14·1 answer
  • Here is the questions ​
    15·1 answer
  • A map has a 1 inch to 200 miles scale. If Atlanta is 15 inches away from Los Angeles on the map, how far apart are they in real
    11·2 answers
  • If g(x) = 3x² – 2x–5, what is the<br> value of g(-1) ?
    13·1 answer
  • Janelle and three of her friends bought four smoothies of equal cost for a total of 3$. If she purchases the same smoothies on a
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!