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gtnhenbr [62]
4 years ago
15

15,600 cans per hour how many 24 cases in 4 hours

Mathematics
1 answer:
Kitty [74]4 years ago
6 0
15,600 cans of soda per hour: s = 15600
Cans are packed 24 per case: s / 24 = c
How many cases in four hours?: 4c
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Which of the following is a composite number? A.87 B.31 C.59 D.41
kicyunya [14]
87 is a composite number because it is divisible by 3, all of the rest of the numbers are prime
8 0
4 years ago
Is -9.1234567 rational
Wittaler [7]

The short answer: yes.

Explanation: every rational number can be expressed as, well, a ratio. For instance, 5 can be expressed as 5/1 and 1.75 can be expressed as 7/4. Irrational numbers are not rational. For instance, pi... there is no ration for pi.

8 0
3 years ago
Read 2 more answers
Help ASAP!!
Aleksandr [31]

Circumference of a circle - derivation

This page describes how to derive the formula for the circumference of a circle.

Recall that the definition of pi (π) is the circumference c of any circle divided by its diameter d. Put as an equation, pi is defined as

π

=

c

d

Rearranging this to solve for c we get

c

=

π

d

The diameter of a circle is twice its radius, so substituting 2r for d

c

=

2

π

r

If you know the area

Recall that the area of a circle is given by

area

=

π

r

2

Solving this for r

r

2

=

a

π

So

r

=

√

a

π

The circumference c of a circle is

c

=

2

π

r

5 0
3 years ago
Read 2 more answers
A box company is designing a new rectangular gift container. The marketing department has designed a box with a width 2 inches s
Sladkaya [172]
Volume of the box= <span>56 cubic inches
let x is the length, then
width =</span><span>2 inches shorter than its length = x - 2
</span>height =  <span>3 inches taller than its length = x+3
Volume = length x width x height
56 = x x (x-2) x (x+3)
56 = (x</span>² -2x)(x+3)
56 = x³ +3x² -2x² - 6x
56 = x³ + x² -6x
x³+x²-6x-56 = 0
using the rational root theorem and factoring the polynomial;
(x-4)(x² +5x +14) = 0
from here;
x-4 = 0
x = 4
So, length = 4 inches
width = x - 2 = 4 -2 = 2 inches
length = x + 3 = 4 + 3 = 7 inches
volume = l x w x h = 4 x 2 x 7 = 56
3 0
3 years ago
Find the value of c that completes the square
PilotLPTM [1.2K]

Answer:

The value of c that completes the square  x^2+2x+c is 1

Step-by-step explanation:

We need to find the value of c that completes the square  x^2+2x+c

The formula used will be: a^2+2ab+b^2=(a+b)^2

In the question given the value c can be found by breaking the middle term. we are given 2x while the general formula is 2ab for middle term so,

2(x)(1) = 2x

so, c= 1

Solving:

x^2+2x+c\\=x^2+2(x)(1)+(1)^2-(1)^2\\=(x+1)^2-1

So, the value of c that completes the square  x^2+2x+c is 1

6 0
3 years ago
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