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4 years ago

6. The cost of a gallon of orange juice is $3.50.

Mathematics

1 answer:

larisa [96]4 years ago

7 0

Answer:

5 containers

Step-by-step explanation:

The most you can buy is 5 because when you multiply 3.5 by 5 you get 17.5. Adding another 3.5 will result in you spending 21.

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There are 12 more girls than boys in a drama club. The ratio of girls to boys is 9:5. How many girls and how many boys are in th

lana [24]

Answer:

27 girls and 15 boys

Step-by-step explanation:

To solve this, I just used guess and check.

9:5 is a ratio, which means we can multiply each side by any number as long as we do it to both sides.

If we multiply the ratio by 3, we get (9 x 3) : (5 x 3) which is 27:15

And as it turns out, 27-15 is 12, which in this context means there are 12 more girls in drama club, so it works out.

7 0

3 years ago

Read 2 more answers

What is the factored form of the expression? t2 – 81

blondinia [14]

We have that
t² – 81

we know that
A difference of two perfect squares, (A² - B²) can be factored into (A+B) • (A-B)
 let
A²-------> t²
B²-------> 9²
then
(t² – 9²)------->(t+9)*(t-9)

the answer is
(t+9)*(t-9)

6 0

4 years ago

Hudson invested $8,400 in an account paying an interest rate of 5.4% compounded quarterly. Assuming no deposits or withdrawals a

maw [93]

The answer to the problem is 16870

4 0

3 years ago

ALL I NEED HELP WITH IS WITH PART D, HOW DO I GET THAT

Sauron [17]

Step-by-step explanation:

Step 1: Factor the equation

$f(x) = -16x^{2} + 22x + 3\\f(x) = -(8x + 1)(2x - 3)$

Step 2: Find the x-intercepts of the graph of f(x)

$-8x - 1 + 1 = 0 + 1\\-8x / -8 = 1 / -8\\x = -1/8$

$2x - 3 + 3 = 0 + 3\\2x / 2 = 3 / 2\\x = 3/2$

Step 3: Describe the end behavior of the graph of f(x)

Since the function is to the power of 2, that means that it is a parabola. And since the leading coefficient is negative, means that the arrows will be pointing down therefore, the end behavior of this graph is as x goes to infinity, f(x) goes to negative infinity and as x goes to negative infinity, f(x) goes to negative infinity.

Step 4: What are the steps you would use to graph f(x)

The first step that I would do is factor the equation. Then I would find the x-intercepts of the graph and plot them on the graph. I would then plug in 0 for all of the x values to get the y intercept. After doing that I would get the vertex using the vertex formula plotting it on the graph. Finally, I would connect all of the dots together to form the graph of the equation.

4 0

3 years ago

Which translation rule describes the translation that is 14 units to the left and 20 units down?

MAXImum [283]

Answer:

(x, y ) → (x - 14, y - 20 )

Step-by-step explanation:

A translation of 14 units to the left means subtract 14 from the original x- coordinate.

A translation of 20 units down means subtract 20 from the original y- coordinate.

The translation rule is

(x, y ) → (x - 14, y - 20 )

3 0

3 years ago