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3 years ago

John's dog slept for 3 hours. If the dog slept 1/3 of every hour, how many times did he snore?

1 answer:

3 0

Then he slept 9 times. Because every hour is 60 minutes, since 1/3 of an hour is 20 mins, it should be 3 times per hour. So using basic math, 3 times 3 equals 9

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What is the general form of the equation for the given circle centered at O(0, 0)? The center is (0,0) the point on the circle i

FromTheMoon [43]

Hello,

Radius= √((4-0)²+(5-0)²)=√41
Equation of the circle : x²+y²=41

4 0

3 years ago

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What’s the distance between points (5,6) and (9,9)

iragen [17]

Answer:

(4,3)

the distance between x1 and x2 then y1 then y2

6 0

3 years ago

The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho

mestny [16]

30 ounces of the coffee John likes consists of

$0.96\cdot30=28.8$ ounces of water
$0.04\cdot30=1.2$ ounces of cocoa

To this mixture we're adding $x$ ounces of water, so that the new mix has a total volume of $30+x$ ounces and matches the composition of the coffee Lily likes. This means it would consist of

$0.973\cdot(30+x)=28.8+x$ ounces of water
$0.027\cdot(30+x)=1.2$ ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for $x$ :

$0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x$

$\implies0.39=0.027x$

$\implies x\approx14.4$

###

Just to confirm: the new mixture consists of

$28.8+14.4=43.2$ ounces of water
$1.2+0=1.2$ ounces of cocoa

giving a total volume of $43.2+1.2=44.4$ ounces of coffee, and $\dfrac{43.2}{44.4}\approx0.973$ , as required.

4 0

3 years ago

Amy is eight years older than twice her cousin Alicia’s age. The sum of their ages is less than 32. Let x represent Alicia's age

horsena [70]

Ok, so amy is 8 years older than twice alica's age
if amy=y and alica=x
y=8+2x

and sum is less than 32
y+x<32

we can subsitute 8+2x for y in other equation
8+2x+x<32
8+3x<32
minus 8 both sides
3x<24
divide both sides by 3
x<8

the inequality is x<8

4 0

4 years ago

4x - 3y = k

Stella [2.4K]

I think its C. 5 that equals K.

4 0

3 years ago

Read 2 more answers