Which system of linear inequalities is graphed?

What is 1/4 divided by 1/2, and create and solve a real-world word problem that uses the above division expression.

Gnoma [55]

Answer:

1/4 divided by 1/2 equals 1/2

Real-world problem:

A constructor official knows that he needs 1/2 sack of cement to produce 10 blocks of concrete for a wall. The official only has 1/4 of the sack left and want to know how many blocks he can produce with this material.

Step-by-step explanation:

Since you know that 1/2 of the sack is needed to make 10 blocks, you can use this information to find the number of blocks that 1/4 of a sack can make. The question you want to answer is:

if $\frac{1}{2}$ of a sack produces 10 blocks, how may blocks $\frac{1}{4}$ of a sack can produce?

Using the Rule of Three you can solve

$\frac{\frac{1}{4} }{\frac{1}{2}} =\frac{2}{4}=\frac{1}{2}$

Now you know that 1/4 of a sack can produce 1/2 the number of blocks that 1/2 of the sack can produces, this means that you can produce 5 blocks of concrete.

8 0

3 years ago

Which expression is equivalent to 8/9 ÷3/4

Mazyrski [523]

The answer is 8/9 • 4/3

7 0

3 years ago

For an outdoor concert by the city orchestra, concert organizers estimate that 10,000 people will attend if it's not raining. If

Vlada [557]

Answer:

The number of expected people at the concert is 8,500 people

Step-by-step explanation:

In this question, we are asked to determine the expected number of people that will attend a concert if we are given the probabilities that it will rain and it will not rain.

We proceed as follows;

The probability that it will rain is 30% or 0:3

The probability that it will not rain would be 1 -0.3 = 0.7

Now, we proceed to calculate the number of people that will attend by multiplying the probabilities by the expected number of people when it rains and when it does not rain.

Mathematically this is;

Number of expected guests = (probability of not raining * number of expected guests when it does not rain) + (probability of raining * number of expected guests when it rains)

Let’s plug values;

Number of expected guests = (0.3 * 5,000) + (0.7 * 10,000) = 1,500 + 7,000 = 8,500 people

4 0

3 years ago

Which describes the slope of this line?

sergeinik [125]

I take the points that you gave. Let named A(0,-3) and B(2,1)

The slope coefficient is S= (yb-ya)/(xb-xa)

S= (1-(-3))/(2-0) => S= (1+3)/2 = 4/2= +2 => S= +2

The correct answer is positive slope
Good luck!!!

7 0

4 years ago

If f(x) = x ^ 2 is vertically compressed by a factor of 9 to g(x) , what is the equation of g(x) ?

Maslowich

Answer:

$g(x) = \frac{1}{9} \,x^2$ which agrees with option A in the list of possible answers