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olga2289 [7]
2 years ago
14

24 runners were faster than Colby in a race. If 30% of the runners were faster than Colby, what was the total number of runners

in the race?​
Mathematics
2 answers:
Mashcka [7]2 years ago
6 0

Answer:

80 runners

Step-by-step explanation:

24/30=0.8

0.8*100=80

saveliy_v [14]2 years ago
6 0

Answer:

80 runners

Step-by-step explanation:

make a proportion: 30/100 = 24/x

cross multiply: 2400=30x

divide: 2400/30=80

80 runners

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An angle bisector always creates two acute angles. find a counterexample to show that the conjecture is false.
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An acute angle is an angle that is less than 90°. An angle bisector is a ray drawn along an angle that bisects it into two equal and adjacent parts. Now, if the total angle is, say 270°, which is more than a half circle, it would result to two 135-degree angles. In this case, the angle is no longer acute, but obtuse.
5 0
3 years ago
Solve for x: 4 over 5 x + 4 over 3 = 2x x = __________________ Write your answer as a fraction in simplest form. Use the "/" sym
Vesna [10]
4/5x + 4/3 = 2x....there are 2 ways to do this...one with fractions, one without.

with :
4/5x + 4/3 = 2x
4/3 = 2x - 4/5x
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4/3 = 6/5x
4/3 * 5/6 = x
20/18 = x
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without :
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5 0
3 years ago
Read 2 more answers
Fleas reproduce at a rate of 29% per day. If there are 300 fleas now, how long until there are 1000?
fomenos

Answer:

11.49yrs

Step-by-step explanation:

300*29% = 87

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6 0
3 years ago
Aya = a1 + (n - 1)d
Alenkasestr [34]

Answer:

The 26th term of an arithmetic sequence is:

a_{26}=67

Hence, option A is true.

Step-by-step explanation:

Given

  • a₁ = -33
  • d = 4

An arithmetic sequence has a constant difference 'd' and is defined by

a_n=a_1+\left(n-1\right)d

substituting a₁ = -33 and d = 4 in the nth term of the sequence

a_n=-33+\left(n-1\right)4

\:a_n=-33+4n-4

a_n=4n-37

Thus, the nth term of the sequence is:

a_n=4n-37

now substituting n = 26 in the nth term to determine the 26th term of the sequence

a_n=4n-37

a_{26}=4\left(26\right)-37

a_{26}=104-37

a_{26}=67

Therefore, the 26th term of an arithmetic sequence is:

a_{26}=67

Hence, option A is true.

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2 years ago
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Answer:

Write the new equation in slope-intercept form.  Replace the old slope with the new slope.  Replace the y-intercept's value with a variable (b).

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