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N76 [4]
3 years ago
6

A persons resting heart rate is typically between 60 and 100 beats per minute. Noah looks at his watch, and counts 8 heartbeats

in 10 seconds.
Is his heart rate typical? Explain how you know.

Write an equation for h, the number of times Noahs heart beats (at this rate) in m minutes.
Mathematics
1 answer:
gulaghasi [49]3 years ago
4 0

Its typical because  60 between 100. 8 times 10 seconds equals 80 which is in between so Noah's heart rate is typical.

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The art teacher asked her students to cut out 1045 apples and 1463 leaves from construction paper five apples can be cut from a
PilotLPTM [1.2K]

From each construction paper number of apples can be cut = 5.

From a sheet of paper number of leaves can be cut = 7.

Let us assume number of construction paper required = x.

Therefore, x construction paper would cut out = 5x apples.

But we need to cut total 1045 apples.

Therefore, we can setup first equation as :

5x = 1045.

Dividing both sides by 5, we get

5x/5 = 1045/5

x=209.

Let us assume number of sheet of paper required = y.

Therefore, y number of sheet of paper would cut out = 7y.

But we need to cut total 1463 leaves.

Therefore, we can setup second equation as:

7y = 1463.

Dividing both sides by 7, we get

7y/7 = 1463/7

y = 209.

Therefore,

<h3>We got two equations 5x = 1045 and 7y = 1463.</h3><h3>From those equations we can get 209 construction paper and 209 sheets of paper required to cut out 1045 apples and 1463 leaves.</h3>
3 0
3 years ago
Read 2 more answers
​write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)
Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is \frac{1}{2} +log_{4 }3 +  log_{4 }a + log_{4 }b

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

log_{4 }6ab

This can be written as

log_{4 }6 \times a \times b

From one of the rules of logarithm, we have that

log_{x }yz= log_{x }y + log_{x }z

Thus,

log_{4 }6 \times a \times b  becomes

log_{4 }6 + log_{4 }a + log_{4 }b

This can be further simplified into

log_{4 }3 \times 2 + log_{4 }a + log_{4 }b

log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b

If desired, this can be further simplified into

log_{4 }3 + log_{2^{2}  }2 + log_{4 }a + log_{4 }b

log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b

log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b

\frac{1}{2} +log_{4 }3 +  log_{4 }a + log_{4 }b

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is \frac{1}{2} +log_{4 }3 +  log_{4 }a + log_{4 }b

Learn more on Simplifying logarithms here: brainly.com/question/17851187

#SPJ1

8 0
2 years ago
Computer: $700, 30% markup (show work)
GaryK [48]
700 x .3 = 210
700 + 210 = 910
6 0
3 years ago
CAN YOU GUYS HELP PLEASE, I HAVE A LIMIT ON THIS!!!!
lorasvet [3.4K]

Answer:

the 2nd choice

Step-by-step explanation:

hope this helps

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4 0
2 years ago
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Complete the statement below to explain how this model shows that 1/6 ÷ 1/4 = 2/3.
svlad2 [7]

Answer:

The answer is 2/3 and I will show the working to prove that in the explanation

Step-by-step explanation:

\frac{1}{6} ÷ \frac{1}{4}

\frac{1}{6}×\frac{4}{1}

Answer =\frac{1}{6}×\frac{4}{1} = \frac{2}{3}

  • So basically what is happening in the above steps what I have shown is that first I am changing the division sign into multiplication and then I am reciprocating the fraction  of 1/4 into 4/1 because on the other side of it is multiplying and after doing that I am simplifying the fraction 4/6 by dividing it  by 2 and hence I got a fraction of 2/3 as the answer
5 0
4 years ago
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