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schepotkina [342]
4 years ago
12

mei rode her bike 7/10 mile to school her friend julie walked 0.07 mile to school .did the two girls travel the same distance .?

explain
Mathematics
2 answers:
UNO [17]4 years ago
8 0
No because mei rode 7/10 while Julie walked 7/100
serg [7]4 years ago
8 0

Answer:

The answer is NO

Step-by-step explanation:

In order to determine the answer, we need to compare both distances using the same group of numbers. It is more difficult to compare which is greater, for example, between 1.567 with \frac{54}{45} , because both number belong to different group of number.

So, we change the 0.07 decimal number to a fraction number:

0.07=\frac{7}{100}

Now, we compare just fractions. Both fractions have the same numerator, so we have to compare denominator. The fraction with the lower denominator is greater than the other.

Thus:

\frac{7}{10}>\frac{7}{100}

Finally, according to the fraction comparison, Mei traveled more distance than Julie.

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Problem: Using the doubling time growth model, what will the population for a city be in 4 years if the current
yarga [219]

Answer:

In four years the population will be 810,045 rounded to the nearest whole number.  

Step-by-step explanation:

I'm not sure what port and d are but here's the solution.

since we know the doubling time we can set up a function where P is the initial value x will actually be the rate, since we know the time, which is what x usually is.

usually an exponential function looks like P*b^x=R where x is the time.  We know the time though, 36 years.  So we are going to use this to find the rate, which is normally b.

Px^36=2P

We don't need to worry about the actual values of P since we know that P gets doubled.  Now we just use algebra to solve.

Px^36 = 2P

x^36 = 2

x = 2^(1/36) or the thirty sixth root of 2, or about 1.019.  So we know every year the population increases by about 1.9 percent.  I am going to use 2^(1/36) just to keep the answer accurate.

So now using the original equation we have P*(2^(1/36))^x = R where now we can plug in any number for x and get what the population will be that many years after the start.  Keep in mind it has to be years though, if you wanted anything longer or less than a year you'd have to convert something.

It asks for 4 years sowe just plug in 4 for x and of course 750,000 for P.

750,000*(2^(1/36))^4 = 810,045 if we round to the nearest whole number.  

Also worth noting if you have something like (a^b)^c you can rewrite it as a^(bc) so the exponents multiply together.  Just need to make sure c is a power to the whole term a^b.

5 0
4 years ago
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ
Ronch [10]

Answer:

The system of equations representing the situation are

600a+1200p = 15,000

a+p = 16

with solutions

p =9

a = 7

Step-by-step explanation:

Let us call a the number of associates and p the number of partners. If each associate costs $600 and each partner costs $1200, and it cost the law firm a total of $15,000, then we have

600a+1200p = 15,000.

Since the law firm assigned at total of 16 lawyers, we have

a+p = 16.

Thus, the system of equations representing the situation are

600a+1200p = 15,000

a+p = 16

And the solution to this system is found by solving for a in the second equation and substituting its value in the first equation:

a = 16-p

600(16-p)+1200p = 15,000

9600-600p+1200p=15,000

9600+600p=15,000

600p=5400

\boxed{ p=9}

We put this value into a+p = 16 and solve for a:

a+9=16

\boxed{a = 7}

4 0
3 years ago
Colin gets £x wages each week. After he pays his tax of £t, he
kupik [55]

Answer:

They will each get ;

(x-t)/2 - 60

Step-by-step explanation:

Here, we want to know the amount of money that Colin and his wife gets

we start by subtracting the necessary terms

Mathematically, that would be;

x-t-120

So what each of them get will be;

(x-t-120)/2

= (x-t)/2 - 60

4 0
3 years ago
I need help on 14,15,16 please help! this is urgent! i’ll give brainlist<br> show work too please!
Rzqust [24]

Answer:

I help u after. my online classing

3 0
3 years ago
What is the distance between -3 and 2 on the number line?
telo118 [61]

Answer: the answer is 190 to the power of 7

Step-by-step explanation:

so u just have to multiply by 35 and u will get the answer

6 0
4 years ago
Read 2 more answers
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