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Leona [35]
3 years ago
6

Gary and Joey share a 16-ounce box of cereal. By the end of the week, Gary has eaten 3/8 of the box, and Joey has eaten 1/4 of t

he box of cereal. How many ounces are left in the box?
Mathematics
2 answers:
V125BC [204]3 years ago
6 0

Answer:

3/8 of the box is left so 6 ounces is left.

Step-by-step explanation:

Make the 1/4, 2/8 then add 2/8 by 3/8 to get 5/8 then subtract 8/8 by 5/8 to get 3/8 then multiply it by 2 to get 6/16.

So the answer is 6/16 or 6.

const2013 [10]3 years ago
3 0
Let’s start by converting the fractions into percentages.
1/4=25%
3/8=37.5%
25% of 16= 4
37.5% of 16= 6
4 + 6 = 10
16 - 10 = 6
Answer: 6 ounces
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What is the value of r2 for the following data to three decimal places?
Viktor [21]

Answer:

R² = 0.964

Step-by-step explanation:

y = 1.9694x - 0.6122

R² = 0.964

6 0
3 years ago
The perimeter of a triangle is 7 m. The longest side is twice the length of the shortest side. The sum of the
34kurt

Answer:

See below in bold.

Step-by-step explanation:

Let the length of the shortest side be x, then the longest side = 2x.

Also  x + y = 2x  + 1   where y = length of the middle side,

Simplifying:

2x - x - y = -1

x - y = -1        (A)

Also as the perimeter = 7:

x + 2x + y = 7

3x + y = 7       (B)

Adding (A) and (B):

4x + 0 = 6

x = 6/4 = 1.5

Plug x = 1.5 into equation B:

3(1.5) + y = 7

y = 7 - 4.5 = 2.5.

Answer:

So the shortest side = 1.5, middle = 2.5 and longest = 2*1.5 = 3.

3 0
2 years ago
What is the perimeter of a triangle with the side lengths 4 cm, 6 cm, and (3y-2) cm?
jek_recluse [69]

Answer:

Step-by-step explanation:

P = 4 + 6 + (3y - 2)      Remove the brackets

P = 10 + 3y - 2            Combine

P = 8 + 3y

Note 3y must be less than 8. That's because 2 sides of any triangle must be larger than the 3rd side or else you don't have a triangle.

7 0
3 years ago
What is the area of the largest rectangle that can be inscribed in an isosceles triangle with side lengths $8$, $\sqrt{80}$, and
e-lub [12.9K]
First let's solve the general case for an isosceles triangle of base 2 and height k. If the triangle is drawn so the base is on the x-axis and the apex is on the y-axis, the equation for the line containing the right side is
  y = -k(x-1)
Then a rectangle with x-dimension w will have an area that is the product of this width and the height y = -k((w/2)-1).
  area = w(-k(w/2 -1)) = (-k/2)w² +kw
The derivative of area with respect to w will be zero where the area is a maximum:
  d(area)/dw = 0 = -kw +k
  w = 1 . . . . . . add kw and divide by k
Using the formula for area, we find
  area = 1(-k(1/2-1)) = k/2
This value is 1/2 the total area of the triangle we started with.

If the side lengths of your triangle are 8, √80, and √80, the height will be given by the Pythagorean theorem as
  h = √((√80)² - (1/2·8)²) = √(80-16) = 8
Your triangle's area will be
  triangle area = (1/2)(8)(8) = 32

The maximum area of the inscribed rectangle will be half this value,
  16 square units

4 0
3 years ago
You use 6
Goryan [66]
9 gallons of water
Divide the gallons by the number of plants.
6 ÷ 20 = 0.3
Multiply that by the number of plants you want.
0.3 x 30 = 9
6 0
3 years ago
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