MATHEMATICS MIDDLE SCHOOL

There are blue, red and green pencils in the box—20 pencils total. There are 6 times more green pencils than blue pencils. There are fewer red pencils than green pencils. How many pencils do you need to take out of the box in order to get at least one red pencil among them?

Answers

Answer 1
Answer:

Answer:

15

Step-by-step explanation:

Try 1, 2, 3, or 4 blue pencils. Then green is 6 times as many. Red must be the rest to make up 20 total.

No. of blue        No. of green      No. of red

1                          6                           13

2                        12                           6

3                        18                           -1

You can't have 3 blue pencils because 3 blue + 18 green = 21 pencils, and there are only 20.

If you have 1 blue and 6 green, then there must be 13 red, but red must be less than green, and 13 is not less than 6.

The only possibility is

2 blue, 12 green, 6 red

If you start taking out pencils, when you take out the first 14 they may be all blues or green, so only when you take out the 15th pencil do you know for sure there must be 1 green pencil.

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An artist creates an abstract sculpture that appears as a box perched on top of a post the box is in the shape of a cube with edges measuring 5 inches each it is placed on top of a post in the shape of a rectangular prism with the length of 3 inches a width of 4 inches and a height of 18 inches what is the volume of the entire sculpture?

at the local grocery store a 16 ounce bottle of apple juice cost $3.20 what is the cost of the apple juice per ounce

Answers

1 ounce = $3.20/16 = $0.20

Answer:

0.20

Step-by-step explanation:

Patrick ate 3/5 of a small pizza. For lunch Saturday he4 ate 1/2 of the leftover pizza. How much pizza did he eat for lunch on Saturday?

Answers

Whole one pizza = 1 = 5/5
Patrick ate on Friday 3/5 so 5/5-3/5=2/5
On Saturday P. ate  1/2 of 2/5 so = 1/2*2/5= 2/10=1/5
So deduct 1/5 from 2/5 and we have 1/5 left

Final answer:

Patrick ate 1/5 of the pizza for lunch on Saturday. To find this, we first calculated how much pizza was left over after he initially ate 3/5 of it, which was 2/5. Then, knowing he ate half of the leftover pizza, we multiplied 2/5 by 1/2 to get 1/5.

Explanation:

The subject of this question is fractions. In this problem, we want to find out how much of the leftover pizza Patrick had for lunch on Saturday. Initially, Patrick ate 3/5 of the pizza, which means 2/5 of the pizza was left over. Then, he ate 1/2 of that remaining pizza for lunch on Saturday.

To find how much pizza he actually ate, we need to multiply the fractions. That is, 2/5 (leftover pizza) * 1/2 (Patrick's lunch). When you multiply these two fractions, you get 2/10 or 1/5. Therefore, Patrick ate 1/5 of the pizza for lunch on Saturday.

Learn more about Fractions here:

brainly.com/question/10354322

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How are exponents and powers different?
(DON'T GOOGLE IT!)

Answers

Answer:

The power is larger than the exponet

Step-by-step explanation:
A power is the product of multiplying a number by itself. A power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied.

What is the fuction eqation for (0,-2)and (5,-1)

Answers

y = mx + b

m is the slope
b is the y-intercept

First find the slope

slope = (y_2-y_1)/(x_2-x_1) = (-1+2)/(5-0)= (1)/(5)

So far we have: y = 1/5x + b

Now we need to find b

y = 1/5x + b

Plug in (0,-2)

-2 = 1/5(0) + b

-2 = b

So the final equation is \boxed{y=(1)/(5)x-2}
f(x) = 1/5 x - 2

-2 is your y intercept and using (y-y)/(x-x) you can get slope 

 (-1 - - 2)/ (5-0) = (-1+2) / (5) = 1/5

the sum of three numbers is 161 the second number is six times the first and the third is 5 more than the second find the numbers

Answers

x+y+z=161 . y=7+x . z=5x. x+x+7+5x=161 . x=22 y=x+7=29 z=5x=110

Regroup tens as hundreds

Answers

35 tens

tens = 10 ones = 0.1 hundreds

35 tens = 350 ones = 3.5 hundreds

So 35 tens = 3.5 hundreds
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