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frutty [35]
2 years ago
7

5x23x2 use properties to find the sum or protuct

Mathematics
1 answer:
sertanlavr [38]2 years ago
6 0

Answer:

230

Step-by-step explanation:

use the multiplication property, it doesn't matter what wa ugh you do it because multiplication is on both sides

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Mrs. Garcia borrowed some money at the rate of 4% per annum for the first year, at the rate of 6% pe r annum for the next 2 year
s2008m [1.1K]

Answer: ₱40,909.1

Step-by-step explanation:

Given data:

Rate for first year = 4%

Rate for next two years = 6%

Rate for the next 3 years = 7.5%

Interest paid back after 5years = ₱ 15,750

Solution:

How much did she borrow.

= let the sum borrowed be P

= P * 4 / 100

= 4P/100

= 1P/25.

For the next two years

= P* 6 * 2/100

= 12P/100

= 3P/25

For the next 3years

= P* 7.5*3/100

= 22.5P/100

= 9P/40.

1P/25 + 3P/25 + 9P/40 = 15750

77P/200 = 15750

P = 15750 * 200 / 77

P = 315,0000/77

P = ₱40,909.1

The amount borrowed is ₱40,909.1

5 0
2 years ago
The principal is collecting data to determine how many graduation tickets will be needed by students at the next graduation. She
nadya68 [22]

<em>*</em><em>100% Correct answers</em>

Question 1

A movie theater was putting up their posters in the frames they had installed on the wall for upcoming attractions. They have 8 new movie posters and only 4 installed frames along the wall to hang them. So, they wont be able to use them all. In how many different ways can they arrange the new movie posters in the frames?

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At a mall there are 5 jewelry stores. Allison is looking to purchase a necklace but only has time to visit 3 jewelry stores. In how many paths could she take to visit 3 of the 5 stores at the mall?

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Question 3

The principal is collecting data to determine how many graduation tickets will be needed by students at the next graduation. She randomly asks 3 students from Mr. Winking's Class which has 16 students in it. How many different groups of 3 does the principal have to pick from?

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How many 2 topping pizzas are possible at Padre Juan's Pizza if there are 12 toppings to choose from and the order in which you put the toppings on the pizza does not matter?

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Question 5

The Miss Teen Georgia pageant is taking place and there are 25 contestants. How many different ways could the pageant have a winner, runner up, and a 2nd place winner.  

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8 0
2 years ago
Read 2 more answers
Wang Hao wants to spend at most $15 on dairy products. Each liter of goat milk costs $2.40 and each liter of cow's milk costs $1
Mashutka [201]

Answer:

2.40g + 1.20c ≤15

Step-by-step explanation:

Each liter of goat milk costs $2.40 and each liter of cow's milk costs $1.20

Let g = liters of goats milk

c = liters of cows milk

What we are buying is the liters times the cost

2.40g + 1.20c

This must be less than or equal to 15 dollars

2.40g + 1.20c ≤15

8 0
2 years ago
Read 2 more answers
-3^(-x)-6=-3^x+10<br><br>Solve the equation below for x by graphing plz
vitfil [10]
To graph it, just graph y=-3^{-x}-6 and y=-3^x+10 and see where they intersect

I would like to solve it by using math and not graphing
if you don't want to see the math, just don't scroll down
the graphical meathod is above, first line, just read it

hmm
multiply both sides by -1
3^{-x}+6=3^x-10
multiply both sides by 3^x
3^0+6(3^x)=3^{2x}-10(3^x)
1+6(3^x)=3^{2x}-10(3^x)
minus 1 from both sides and minus 6(3^x) from both sides
0=3^{2x}-16(3^x)-1
use u subsitution
u=3^x
we can rewrite it as
0=u^2-16u-1
now factor
I mean use quadratic formula
for ax^2+bx+c=0 x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}
so for 0=u^2-16u-1, a=1, b=-16, c=-1
u=\frac{-(-16)+/-\sqrt{(-16)^2-4(1)(-1)}{2(1)}
u=8+/-\sqrt{65}
remember that u=3^x so u>0
if we have u=8+√65, it's fine, but u=8-√65 is negative and not allowed
so therfor
u=8+\sqrt{65}=3^x
8+\sqrt{65}=3^x
if you take the log base 3 of both sides you get
log_3(8+\sqrt{65})=x
if you use ln then
ln(8+\sqrt{65})=xln(3)
then
\frac{ln(8+\sqrt{65})}{ln(3)}=x

8 0
2 years ago
Read 2 more answers
Assemble the proof by dragging tiles to the statements and reasons columns
inn [45]

Answer:

Here, I did the assignment. I wish you good luck!

3 0
2 years ago
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