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Brums [2.3K]
2 years ago
8

jayce runs 2 1/2 miles on monday. Each day after that, he runs the same 1 1/3 mile route every morning. His goal is to run at le

ast 6 miles by the end of the week. Which inequality represents the least number of days after monday that jayce needs to run to reach his goal?
Mathematics
1 answer:
PtichkaEL [24]2 years ago
3 0

Answer:

Step-by-step explanation:

6 < 2 1/2 + 1 1/3R

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Need help with cross multiplying
saw5 [17]
So to solve for this, we need to set up proportional fractions, which I will help show you how to do.
First, if we are given an amount out of a total, we need to put it over x (if we are looking for the total). It looks like this:
12/x, 12 being the given number and x being the total.
If we are given the total but are looking for an amount, put the total at the bottom of the fraction (aka the denominator). It looks like this: x/16, 16 being the total amount and x being the amount out of the total.
We have a total of 40 test problems, so we can put our total at the bottom, x/40.
X is the amount of questions answered correctly (we are looking for x in the question).
We have answered 80% correct, so put 80% over 100 (100 being the total). It should look like this: 80/100.
Now we have our two fractions: x/40 & 80/100.
Set these up as an equation.
x/40 = 80/100.
Now this is where things may get tricky if you don't pay attention.
Multiply the numerator (the top number of a fraction) of x/40 by the denominator (the bottom number of a fraction) of 80/100.
Your product equation should look like this:
x times 100. This will give is 100x. Leave it at that.
Now, multiply the denominator of x/40 (the bottom number of the fraction) by the numerator (the top number of a fraction) of 80/100. It should look like this:
80 x 40. This will give us 3200.
Now set up our products as an equation.
100x = 3200.
To solve for x, divide both sides by 100.
3200/100 = 32.
x = 32.
I hope this helps and has taught you something!
4 0
3 years ago
PLS HELP ME WITH THIS QUESTION
Natasha_Volkova [10]
5ft (i’m just typing because i need more characters)
6 0
3 years ago
During the school year or each student planted 2 * 10^2 trees as part of a community service project. If there are 3.5 * 10^3 st
Nookie1986 [14]

Total 7*10^5 trees were planted.

Further explanation:

The product of both quantities will give us the total number of trees planted by the students for the community project.

So,

Given

Trees\ planted\ by\ each\ student=2*10^2\\Total\ students\ in\ school=3.5*10^3\\Total\ trees\ planted= (2*10^2)*(3.5*10^3)\\= 7*10^5\ trees

So, total 7*10^5 trees were planted.

Keywords: Product, exponents

Learn more about product and exponents at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

#LearnwithBrainly

4 0
3 years ago
If $1000 is invested at 8% interest, compounded annually, then after n years the investment is worthan = 1000(1.08)ndollars.(a)
Luba_88 [7]

Answer:

Diverge

Step-by-step explanation:

(a)

1st year: 1000 * 1.08^1 = \$1080

2nd year: 1000 * 1.08^2 = \$1166.4

3rd year: 1000 * 1.08^3 = \$1259.71

4th year: 1000 * 1.08^4 = \$1360.49

5th year: 1000 * 1.08^5 = \$1469.33

(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:

(1000*1.08^n)^{'} = 1000ln(n)*1.08^n

This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule

(1000ln(n)*1.08^n)^{'} = 1000\frac{ln(n)}{n}1.08^n

This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.

5 0
3 years ago
What is the standard form of (1+2√-3)/(1+√-3)
miv72 [106K]
1.75+0.43301270i
hope this helped and let me know if i was right plz

7 0
3 years ago
Read 2 more answers
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