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3 years ago

Find the smallest positive integer divisible by $10$, $11$, and $12$.

Mathematics

1 answer:

Leya [2.2K]3 years ago

3 0

Answer:

Smallest divisible number = 660

Step-by-step explanation:

Given:

Numbers

10, 11, 12

Find:

Smallest divisible number

Computation:

Factor

10 = 2×5

11 = 11×1

12 = 2×2×3

Smallest divisible number = 2×2×3×5×11

Smallest divisible number = 660

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3 years ago

While testing a new pesticide, an agricultural scientist uses two functions to predict the yields of two same-sized potato farms

Pepsi [2]

Answer:

A. h(x)= -5.86x^2 + 23.37x + 34

Step-by-step explanation:

If the scientist uses the same amount of pesticide on the two farms then the x's of the functions are the same.

Then, the combined yield $h(x)$ of the two farms is just the yield of the first farm plus the yield of the second farm:

$h(x)=f(x)+g(x)$ .

Now, since

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and

$g(x)= -3.43x^2+13x+25$ ,

then

$h(x)= (-2.43x^2+10.37x+9)+(-3.43x^2+13x+25)$

we add the coefficients of the corresponding terms to get:

$h(x)= (-2.43x^2-3.43x^2)+(10.37x+13x)+(9+25)$

$\boxed {h(x)=-5.86 x^2 + 23.37 x + 34.}$

Which is choice A.

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3 years ago

A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of

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Answer:

First car: 35 gallons

Second car: 15 gallons

Step-by-step explanation:

Assuming $x$ to be the gas consumed by 1st car and $50 - x$ to be the gas consumed by 2nd car.

We know that:

Distance traveled = fuel efficiency × gas consumed

$20x+35(50-x)=1225$

$20x+1750-35x=1225$

$35x-20x=1750-1225$

$15x=525$

$x=35$

So $50 - x = 50-35=15$

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