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Nimfa-mama [501]
3 years ago
5

Solve for r. - 17 +r = 42

Mathematics
2 answers:
zysi [14]3 years ago
8 0
-17+r=42
-17+r+17=42+17
r=59
Vaselesa [24]3 years ago
7 0

Answer:

R = 25

Step-by-step explanation:

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Richard walks every day for exercise at a rate of 1 kilometer every 12 min. At this rate ,how many meters can Richard walk in a
garik1379 [7]
60 minutes in an hour
60÷12=5
1,000 meter in 1 km
5×1=5
5×1000=5000
therefore, 5000 meters
3 0
3 years ago
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2^5×8^4/16=2^5×(2^a)4/2^4=2^5×2^b/2^4=2^c<br>A=<br>B=<br>C= <br>Please I'm gonna fail math
aleksley [76]

9514 1404 393

Answer:

  a = 3, b = 12, c = 13

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

___

You seem to have ...

  \dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)

_____

<em>Additional comment</em>

I find it easy to remember the rules of exponents by remembering that <em>an exponent signifies repeated multiplication</em>. It tells you how many times the base is a factor in the product.

  2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}

Multiplication increases the number of times the base is a factor.

  (2\cdot2\cdot2)\times(2\cdot2)=(2\cdot2\cdot2\cdot2\cdot2)\\\\2^3\times2^2=2^{3+2}=2^5

Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.

  \dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1

5 0
2 years ago
How many miles can the car travel using 9 gallons of gasline
Igoryamba

Answer:

Great question! First find the rate: 240 miles/9 gallons = 26.7 miles/gallon. So this means Reuben can drive 26.7 miles per 1 gallon.

Step-by-step explanation:

Let me know if you have any questions!

5 0
2 years ago
A set of city temperatures in April are normally distributed with a mean of 19.7 degrees Celsius and a standard deviation of 2 d
Sati [7]

Answer:

19.77% of average city temperatures are higher than that of Cairo

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 19.7, \sigma = 2

What percentage of average city temperatures are higher than that of Cairo?

This is 1 subtracted by the pvalue of Z when X = 21.4.

Z = \frac{X - \mu}{\sigma}

Z = \frac{21.4 - 19.7}{2}

Z = 0.85

Z = 0.85 has a pvalue of 0.8023

1 - 0.8023 = 0.1977

19.77% of average city temperatures are higher than that of Cairo

6 0
2 years ago
2\%2%2, percent of the students at Hamilton Middle School have red hair. There are 700700700 students at Hamilton Middle School.
Andrew [12]

Answer:

<u>14 students</u> at Hamilton Middle School have red hair.

Step-by-step explanation:

Given:

2%, percent of the students at Hamilton Middle School have red hair.

There are 700 students at Hamilton Middle School.

Now, to find the number of students at Hamilton Middle School having red hair.

Total number of students = 700.

Percent of the students at Hamilton Middle School have red hair = 2%.

Now, to get the number of students at Hamilton Middle School having red hair:

2\%\ of\ 700\\\\=\frac{2}{100} \times 700\\\\=0.02\times 700\\\\=14.

Therefore, 14 students at Hamilton Middle School have red hair.

3 0
3 years ago
Read 2 more answers
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