A vendor sells 60 pieces of fruit that are either apples or oranges. The ratio of apples to oranges is 3: 2. How many apples did the vendor sell? How many oranges did the vendor sell?

Answers

Answer 1

Answer:

36 apples, 24 oranges

For this, each 'group' contains 5 fruits; three are apples; two are oranges. Take 60/5 is 12. then multiply 12 by each number of apples and oranges in each group, getting 36 apples and 24 oranges.

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Which of the following is the correct expansion of the binomial (x + y)6?

Answers

Answer:

x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6

Step-by-step explanation:

expansion of the binomial (x + y)^6

USe Pascals triangle

6th row in pascals triangle is

1 6 15 20 15 6 1

Now we do the expansion using the above row.

nCr (x)^n-r (y)^r

1 (x)^6(y)^0+ 6(x)5(y)^1+ 15(x)^4(y)^2+20(x)^3(y)^3+15(x)^2(y)^4+6(x)^1(y)^5+1(x)^0(y)^6

$x^6+6x^5y+15x^4y^2+20x^3y^3+15x^2y^4+6xy^5+y^6$

Hello,

Pascal Triangle:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1

x^6+6x^5y+15 x^4y² +20 x^3y^3 + 15 x²y^4+6 x y^5 +y^6

A small town with a population of 1,200 residents held elections for the position of mayor. Four candidates had announced their candidature for the election. On the day of the election, a local newspaper conducted an exit poll near two polling booths with two groups of 100 residents each. The results are given in the table shown below.Name Group A Group B
Chris Jones 51 29
Patrick Smith 6 4
Michael Small 30 54
Susan Davis 13 13

Which of the following statements about the data above is true?
A.
The estimated number of residents who would have voted for Michael Small is higher for Group B than Group A.
B.
The estimates for both groups show an equal number of residents would have voted for Michael Small.
C.
The estimated number of residents who would have voted for Susan Davis is higher for Group A than Group B.
D.
The estimated number of residents who would have voted for Michael Small is higher for Group A than Group B.

Answers

Answer:

The estimated number of residents who would have voted for Michael Small is higher for Group A than Group B.

Step-by-step explanation:

For the polynomial f(x)=(x^3)+(4x^2)-5x+6 use synthetic division to find f(-4)

Answers

Answer:

The remainder is 26.

Please check the attached diagram below to see the remaining solution.

Step-by-step explanation:

To do this:

Take the constant term of the divisor with the opposite sign and write it to the left.

Write the coefficients of the dividend to the right.

Please check the attached diagram below to see the remaining solution.

The health care Jimmy’s employer offers is a fee-for-service plan in which Jimmy and his family must pay for $12,500 in health related services in a calendar year before the insurance company begins to pay. Jimmy and his family have several health related issues that demand $685.00 each month. If one of Jimmy’s children were to become seriously injured at the end of the year, how much more would Jimmy and his family need to pay before the insurance company begins to assume responsibility?a.
$984.58
b.
$4,280.00
c.
$11,815.00
d.
$14,417.92

Answers

The answer is Letter B - $4,280.00.

Total the amount they could incur because of health issues in a year then deduct it from 12,500.

= 685 x 12 months
= 8,220; they incur $8,220 for their health related issues in a year

= 12,500 - 8,220
= 4,280; amount they need to pay before the insurance company assumes responsibility.

What is the solution to this system of linear equations?

x + y = 4

x − y = 6

Answers

Answer:

x=5 , y= -1

Step-by-step explanation:

You can see that one of the y's is negative while the other is positive, so you can add them together.

Now, negative 1 + positive 1 = 0, so the y's cancel out leaving only the x's.

Remember you can't add one part without adding the other so x+x = 2x, and 4+6=10. This makes the final equation 2x=10.

You can simplify that into x=5. This gives you the answer for x

Then substitute x=5 into any of the two equations (doesn't matter) I'll use the first one. So if you substitute it you get 5+y=4.

Simplified, y= -1

Therefore, x= 5 and y=-1

Answer:

(5,-1)

Step-by-step explanation:

Got it right on edge cause of the guy above me

An expression that is equivalent to 7/8

Answers

6/8+1/8 equals to seven eighth. Don't forget to choose my answer as the brainiest one if it was useful. Thanks

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