Let's set up an equation:

x plus y is greater than 12

x + y > 12

One of the integers is ten less than twice the other one

x = 2y -10

Time to start solving:

(2y-10) + y > 12
2y + y > 12 + 10
3y > 22
3y=24
y=8

Now its time to find the value of x:

x=2(8) - 10
x=16-10
x= 6

6 + 8 > 12, 6+8 is greater than twelve.

In conclusion we can wrap up that 6 and 8 are the least value integers.

5 0

3 years ago

Easy question? Please help I’ll give brainliest! :( Please provide small explanation like instructions it’s okay if not though

Alex17521 [72]

Answer: Ok so what i'v got for this one is that i averaged up all three numbers and i got an average of about 85%. Now you have to put in a fourth number which will actually be another 80% i believe

Step-by-step explanation: add up all 3 divide them all by the numbers then once your done with that plug in the 80% and see what your answer will be.

5 0

3 years ago

Michael has a sink that is shaped like a half-sphere. The sink has a volume of 3000/3 π in3. One day, his sink is clogged. He ha

pashok25 [27]

Answer:

A. 14 times

B. 5 times.

Step-by-step explanation:

We know the volume of the sink, now we need to find the volume of the cup(s) he's using to empty it out.. to find out how many scoops he'll have to do.

We'll assume he can actually empty it all, even if it's unlikely he can scoop the last 5%-10% of it due to the shapes/sizes of the sink and the cup. We'll also assume he completely fills the cup (which is impossible due to angles).

The volume of the sink is 3000/3 π cubic inches, let's simplify that as 1000 π cubic inches.

a - Cylindrical cup, diameter 6 inches, height: 8 inches.

We remember the volume of a cylinder is found using this formula:

V = π r²h

So, we have:

V = π * 3² * 8 = 72π

So, how many times does Michael has to scoop (S):

$S = \frac{1000 \pi }{72 \pi } = 13.88$

Of course, he can't scoop 0.83 times... so we'll round it up.

So, Michael will have to scoop 14 times with this first cup.

b - Cylindrical cup, diameter 10 inches, height: 8 inches.

We remember the volume of a cylinder is found using this formula:

V = π r² h

So, we have:

V = π * 5² * 8 = 200π

So, how many times does Michael has to scoop (S):

$S = \frac{1000 \pi }{200 \pi } = 5$

So, Michael will have to scoop 5 times with this second cup, which is not surprising since the volume of the second cup is nearly the triple of the first one.

3 0

4 years ago