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Sophie [7]
3 years ago
11

A company shipped 48 boxes of canned dog food. Each box contained 24 cans.How many cans of dog food did the company ship in all?

Mathematics
2 answers:
Drupady [299]3 years ago
8 0
48 boxes*24 cans per box= a total of 1,152 cans of dog food
laila [671]3 years ago
7 0
They shipped 1,152 cans of dog food
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Let x represent BC. Using either ABC or CAB and trigonometric functions, solve for x to three decimal places in at least three d
mezya [45]

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Step-by-step explanation:

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A pack of 8 batteries cost 4.72!What is cost per battery?
Mrrafil [7]
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2 years ago
Luke and Matthew ran a lemonade stand on Saturday.
SOVA2 [1]

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15$

Step-by-step explanation:

Okey so first we establish that 25 is 100%

Matthew gets 60%

First we find 10% by dividing both sides by 10

2.5 = 10%

Then we times these numbers by 6 to find 60%

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4 0
4 years ago
Read 2 more answers
Find constants a and b such that the function y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 5y = sin(x)
vichka [17]

Answers:

a = -6/37

b = -1/37

============================================================

Explanation:

Let's start things off by computing the derivatives we'll need

y = a\sin(x) + b\cos(x)\\\\y' = a\cos(x) - b\sin(x)\\\\y'' = -a\sin(x) - b\cos(x)\\\\

Apply substitution to get

y'' + y' - 5y = \sin(x)\\\\\left(-a\sin(x) - b\cos(x)\right) + \left(a\cos(x) - b\sin(x)\right) - 5\left(a\sin(x) + b\cos(x)\right) = \sin(x)\\\\-a\sin(x) - b\cos(x) + a\cos(x) - b\sin(x) - 5a\sin(x) - 5b\cos(x) = \sin(x)\\\\\left(-a\sin(x) - b\sin(x) - 5a\sin(x)\right)  + \left(- b\cos(x) + a\cos(x) - 5b\cos(x)\right) = \sin(x)\\\\\left(-a - b - 5a\right)\sin(x)  + \left(- b + a - 5b\right)\cos(x) = \sin(x)\\\\\left(-6a - b\right)\sin(x)  + \left(a - 6b\right)\cos(x) = \sin(x)\\\\

I've factored things in such a way that we have something in the form Msin(x) + Ncos(x), where M and N are coefficients based on the constants a,b.

The right hand side is simply sin(x). So we want that cos(x) term to go away. To do so, we need the coefficient (a-6b) in front of that cosine to be zero

a-6b = 0

a = 6b

At the same time, we want the (-6a-b)sin(x) term to have its coefficient be 1. That way we simplify the left hand side to sin(x)

-6a  -b = 1

-6(6b) - b = 1 .... plug in a = 6b

-36b - b = 1

-37b = 1

b = -1/37

Use this to find 'a'

a = 6b

a = 6(-1/37)

a = -6/37

8 0
3 years ago
6x– 9y = 3<br> x-9y = -22
Tomtit [17]

Answer:

Step-by-step explanation:

6x-9y=3

+x-9y=-22

first you take x-9y=-22 *-1  which will equal -x+9y=22

then you add

6x-9y=3

+-x+9y=22

----------------

5x=25

÷5    ÷5=  x=5         then you plug  5 into each x spot

3 0
3 years ago
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