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Georgia [21]
3 years ago
5

A fruit vendor sells 60 pieces of fruit that are either apples or oranges the ratio of apples to oranges is 3 to 2 how many appl

es did the vendor sell and how many oranges did the vendor so
Mathematics
1 answer:
Semmy [17]3 years ago
8 0
Sold 36 apples and 24 oranges.
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Which of the following shows that polynomials are closed under subtraction when polynomial x + 5 is subtracted from 3x2 + 2x − 6
Art [367]
For this case we have the following polynomials:
 P = 3x ^ 2 + 2x - 6

Q = x + 5
 By subtracting both polynomials we have:
 P - Q = (3x ^ 2 + 2x - 6) - (x + 5)

 What we must do is subtract terms of the same degree.
 We have then:
 P - Q = 3x ^ 2 + (2x - x) + (-6 - 5)

P - Q = 3x ^ 2 + x - 11
 Answer:
 
3x ^ 2 + x - 11 will be a polynomial
3 0
3 years ago
If (5x-3y)²=0, then x/y=?​
alexandr1967 [171]

Answer:

\frac{3}{5}

Step-by-step explanation:

Given

(5x - 3y)² = 0, then

5x - 3y = 0 ( add 3y to both sides )

5x = 3y (divide both sides by 5 )

x = \frac{3}{5} y ( divide both sides by y )

\frac{x}{y} = \frac{3}{5}

5 0
3 years ago
Read 2 more answers
Compute the exact interest on $5,870 at 12% if the money is borrowed from June to December of the same year.
yawa3891 [41]

Answer:

The exact interest on $5,870 at 12% is $410.9

Step-by-step explanation:

From the information provided we know that

Principal amount: $5,870

Interest rate: 12% -> 0.12

Time: 7 months (From June to December)

When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:

I=P\cdot r\cdot t

where P is principal, r is the rate of interest and t is the time in years.

We need to convert the 7 months into 1 year.

7 \>months \cdot \frac{1 year}{12 months} = \frac{7}{12} year

Now we can use the above formula

I=P\cdot r\cdot t=5870\cdot 0.12 \cdot \frac{7}{12} \\I = 0.12\cdot \frac{7\cdot \:5870}{12}\\I = 0.12\cdot \frac{20545}{6}\\I = \frac{2465.4}{6}\\I = 410.9

Therefore the exact interest on $5,870 at 12% is $410.9

7 0
2 years ago
How many of the numbers from 10 through 92 have the sum of their digits equal to a perfect​ square?
horrorfan [7]
All the numbers in this range can be written as 10d_1+d_0 with d_1\in\{1,2,\ldots,9\} and d_2\in\{0,1,\ldots,9\}. Construct a table like so (see attached; apparently the environment for constructing tables isn't supported on this site...)

so that each entry in the table corresponds to the sum of the tens digit (row) and the ones digit (column). Now, you want to find the numbers whose digits add to perfect squares, which occurs when the sum of the digits is either of 1, 4, 9, or 16. You'll notice that this happens along some diagonals.

For each number that occupies an entire diagonal in the table, it's easy to see that that number n shows up n times in the table, so there is one instance of 1, four of 4, and nine of 9. Meanwhile, 16 shows up only twice due to the constraints of the table.

So there are 16 instances of two digit numbers between 10 and 92 whose digits add to perfect squares.

7 0
3 years ago
Evaluate the expressio <br>-6(-5)+12
natta225 [31]

First, multiply -6*-5. This equals (positive) 30 because the negative signs cancel out.

This leaves you with:

30+12

Doing the addition leaves you with 42.

The answer is 42.

I hope this helps :)

6 0
3 years ago
Read 2 more answers
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