An art teacher has 4 1 8 4 8 1 gallons of paint to pour into containers. If each container holds 3 8 8 3 gallon, how many containers can they fill?

Answers

Answer 1

Answer:

If an art teacher has 4 1/8 gallons of paint to pour into containers, the art teacher can fill 11 containers with the 4 1/8 gallons of paint they have.

To solve the problem, we need to divide the total amount of paint by the capacity of each container.

First, we need to convert 4 1/8 gallons to an improper fraction. To do this, we multiply the whole number by the denominator and add the numerator, then put the result over the denominator:

4 1/8 = (4 x 8 + 1)/8 = 33/8

Next, we divide the total amount of paint by the capacity of each container:

33/8 ÷ 3/8 = 33/8 x 8/3 = 11

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Complete question is:

An art teacher has 4 1/8 gallons of paint to pour into containers. If each container holds 3/8 gallon, how many containers can they fill?

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When the lights go out at the store at night there's a 15% off sign hanging out by the make up counter what is a number as a decimal and a fraction in simplest form

Answers

Answer:

As per the given statement: when the lights go out at the store at night there's a 15% off sign hanging out by the make up counter.

To find the number as a decimal and a fraction in simplest form.

Given the Number = 15%.

If we convert any number from percent to decimal divide by 100 and remove the % sign.

$(15)/(100) = 0.15$

Then the given number in decimal is, 0.15

Now, to convert this percent into fraction;

$(15)/(100)$

Divide both numerator and denominator by 5 to get;

$((15)/(5) )/((100)/(5) ) = (3)/(20)$

Therefore, the given number in fraction is; $(3)/(20)$

What is equal to the expression square root of 40/2

Answers

First you would simplify what's in the square root, to get root 20. If you want the exact number, and not the approximation, you would take out whatever squares are in that number (20=2*2*5) so your answer is 2root5.

However, if you want the approximation, simply plug it into your calculator and get 4.18154055.

Find the area of the circle given the diameter is 8. Use 3.14 for pi

Answers

Answer:

A = 50.265482457437 or A = 50.27 or A = 50.265

Step-by-step explanation:

27 students is 90% of how many students

Answers

30 students would be your answer

Which function has the smallest minimum y-value?fx) = 2 sin (3x + π) − 2
g(x) = (x − 3)2 − 1
h(x) >
x y
−2 3
−1 −2
0 −5
1 −6
2 −5
3 −2
4 3

Answers

Answer:

The smallest minimum is attained by the function:

h(x)

Step-by-step explanation:

We are asked to find which function has smallest minimum value:

We have:

f(x)=2 sin (3x+π)-2

We know that the minimum value of sine function is -1 and the maximum value of sine function is 1.

So, when sine function will have minimum value -1 then the function f(x) also has minimum value as -4.

( since 2×(-1)-2=-2-2= -4 )

g(x)=(x-3)^2-1

As this function is a quadratic function and we know that:

(x-3)^2≥0 for all x.

so,

(x-3)^2-1≥ -1.

Hence, the minimum value of g(x) is -1.

Also we are given a set of values of function h(x) as:

h(x) =y

x y

−2 3

−1 −2

0 − 5

1 −6

2 −5

3 −2

4 3

Clearly from the table we could see that h(x) receives -6 as the minimum value.

Hence, the smallest minimum is attained by the function h(x).

The minimum value of sine is negative one, so f(x) has minimum -2-2=4. The square function has minimum 0, so g(x) has minimum 0-1=-1.
h(x) has minimum -6 when x=1, so it has the smallest minimum.

What is the solution to the system of equations below?y=-6x-10
and
y=-3x-21
(2, -22)
(2,48)
(-2, 2)
(-2, -20)