MATHEMATICS HIGH SCHOOL

A cross product is an equation which states that two ratios are equal.
True
False

Answers

Answer 1
Answer: It is true that a cross product is an equation that states that two ratios are equal. For example, if a player's batting average is 400 out of 1000, and you wanted to know how many times they will hit every 50 times batting, then you would set the equation up at 400/1000 and equal that to X/50, then you would use cross product to find the answer.

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Find the range of f(x) = 5 - |x - 4|.
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At the sewing store, Linda bought a bag of mixed buttons. The bag included 70 buttons, of which 30% were large. How many large buttons did Linda get?

Answers

Answer:

21

Step-by-step explanation:

Find the sum. Write your answer in simplest form.

6 5/6 + 6 11/12

Answers

If you would like to calculate 6 5/6 + 6 11/12, you can do this using the following steps:

6 5/6 + 6 11/12 = 41/6 + 83/12 = 82/12 + 83/12 = 165/12 = 55/4 = 13 3/4

The correct result would be 55/4.

Someone you know is planning a wedding. They have still have decide on the place of the reception, the DJ, and the caterer. They have narrowed it down to 2 reception halls, 3 DJs, and 2 catering companies. How many arrangements are possible for this wedding?

Answers

So essentially, we have a choice of :

2 reception halls
3 DJs
2 catering companies.

In order to find the number of arrangements, you need to multiply those : 2*3*2=12- So they have 12 arrangements.

why?

Imagine those 3 Djs- they are three arrangements.
Now, they can play in one or the other hall -so in total it's 3 Djs in one hall and 3 in the other -that's 6.

And all of those 6 possibilities can be catered by one or the other company- making the possibilities twice as many, so it's 12 in total!

Write a recursive formula for the sequence 7, 13, 19, 25, 31, ... Then find the next term.

Answers

Answer:

see explanation

Step-by-step explanation:

there is a common difference between consecutive terms , that is

d = 13 - 7 = 19 - 13 = 25 - 19 = 31 - 25 = 6

this indicates the sequence is arithmetic

the recursive formula lets us find any term in the sequence by adding the common difference to the previous term , that is

a_(n) = a_(n-1) + 6 ; a₁ = 7

the next term in the sequence is

31 + 6 = 37

Jay is cutting a roll of biscuit dough into slices that are 3/8 inch thick. If the roll is 101/2 inches long, how many slices can he cut?

Answers

The roll of the biscuit is 101/2 inches long. It has to be cut into slices that are 3/8 inches thick.
Then
The number of slices = (101/2)/(3/8)
                                   = (101/2) * (8/3)
                                   = 808/6
                                   = 404/3
                                   = 134.66
So the biscuit dough can be cut into 134 slices approximately. A small part will be left.This is the only way to find out the number of slices thebiscuit dough can be sliced into. Hope this helps you in understanding the wayit is done.

X^3+13x^2+32x+20
please help me factorizing above equation

Answers

x^3+13x^2+32x+20=x^3+x^2+12x^2+ 12x+20x+20 =\n\n=x^2(x+1)+12x(x + 1 )+20(x+1 )=(x+1)(x^2+12x+20)=\n\n=(x+1)[(x^2+10x+2x+20)]=(x+1)[x(x +10)+2(x+10))]=\n\n=(x+1) (x +2) (x+10)
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