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3 years ago

Select the correct answer.

Mathematics

2 answers:

likoan [24]3 years ago

7 0

Answer:

Step-by-step explanation:

First find how many games they need to have 90% by multiplying .9(30)=27

then, 15(.8)=12

Then 27-12=15

Dafna11 [192]3 years ago

4 0

Answer:

Step-by-step explanation:

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Please help!

jasenka [17]

0%. You can't pick a 3 then pick a 3 again, as there is only one 3 available to be picked. 0/1

8 0

3 years ago

You walk 20 meters north, then 5 meters south. what is your displacement?

Viktor [21]

Sry this is completely off topic, but where do you go to ask questions? I can't seem to find it. The answer is C I think

4 0

3 years ago

Please help! I need this quickly

Lera25 [3.4K]

Answer:

x + 3y = 30

Step-by-step explanation:

We are given that a line contains the points (12,6) and (-3,11).

We want to write the equation of this line in standard form.

Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, however a and b cannot be 0, and a cannot be negative.

Regardless, before we write an equation in slope-intercept form, we must first write the equation in a different form, such as slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y-intercept.

So first, let's find the slope of the line.
The slope (m) can be found using the formula $\frac{y_2-y_1}{x_2-x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points.

Even though we already have 2 points, let's label their values to avoid any confusion and mistakes when calculating.

$x_1=12\\y_1=6\\x_2=-3\\y_2=11$

Now substitute these values into the formula.

m= $\frac{y_2-y_1}{x_2-x_1}$

m= $\frac{11-6}{-3-12}$

Subtract

m= $\frac{5}{-15}$

Simplify

m= $-\frac{1}{3}$

The slope is -1/3

Here is the equation of the line so far in slope-intercept form:

$y=-\frac{1}{3} x + b$

We need to solve for b.

As the equation passes through (12,6) and (-3,11), we can use either one to help solve for b.

Taking (12, 6) for example:

$6=-\frac{1}{3}(12) + b$

Multiply

$6=-\frac{12}{3} + b$

Divide

6 = -4 + b

Add 4 to both sides.

10 = b

Substitute 10 as b in the equation.

$y = -\frac{1}{3} x + 10$

Here is the equation in slope-intercept form, but remember, we want it in standard form.

In standard form, the values of both x and y are on the same side, so let's add -1/3x to both sides.

$\frac{1}{3} x + y = 10$

Remember that a (the coefficient in front of x) has to be an integer, 1/3 is not an integer.

So, let's multiply both sides by 3 to clear the fraction.

$3(\frac{1}{3} x + y) = 3(10)$
Multiply.

x + 3y = 30

Topic: finding the equation of the line (standard form)

See more: brainly.com/question/27575555

4 0

2 years ago

13. Evaluate f(x) = 12 for the function f(x) = 5(x - 3) + 17. A 2 B-2 C. 62 D. -62

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

First, let's rewrite the original function:

ƒ(x) = 5(x – 3) + 17

This could easily be simplified, which might make it easier:

ƒ(x) = 5x – 15 + 17 — distribute the 5 to (x – 3)

ƒ(x) = 5x + 2 — simplify

That looks easier to solve, doesn't it? Now, let's substitute 12 for x and solve for ƒ(12) [this is another way of writing x = 12]

ƒ(12) = 5(12) + 2 — substitute 12 for x

ƒ(12) = 60 + 2 — multiply and simplify

ƒ(12) = 62 — add and simplify

Now, let's prove this method works by substituting 12 for x in the original function:

ƒ(x) = 5(x – 3) + 17 — original function

ƒ(12) = 5(12 – 3) + 17 — substitute 12 for x

ƒ(12) = 5(9) + 17 — here, I subtracted the numbers in the parentheses

ƒ(12) = 45 + 17 — simplify by multiplying 5 and 9

ƒ(12) = 55 + 7 — rewriting to make mental addition easier

ƒ(12) = 60 + 2 — rewriting to make mental addition easier; does this look familiar?

ƒ(12) = 62 — simplifying to find final answer

That's just one way of breaking up the numbers so they're easier to add. You could just use a calculator, but I did this in my head, so…

There's two more ways to use the original function to solve for ƒ(12), and it's these methods:

Method 1

ƒ(x) = 5(x – 3) + 17 — original function

ƒ(12) = 5(12 – 3) + 17 — substitute 12 for x

ƒ(12) = 60 – 15 + 17 — here, I distributed 5 to each term before doing anything else

ƒ(12) = 45 + 17 — simplifying by subtracting 15 from 60

ƒ(12) = 62 — simplifying; we get the same answer

Method 2

ƒ(x) = 5(x – 3) + 17 — original function

ƒ(12) = 5(12 – 3) + 17 — substitute 12 for x

ƒ(12) = 60 – 15 + 17 — here, I distributed 5 to each term before doing anything else

ƒ(12) = 60 + 2 — simplifying by subtracting 15 from 17

ƒ(12) = 62 — simplifying; we get the same answer

What happens every time? We get the same answer, ƒ(12) = 62! To boot, sometimes you can use a rule of three to prove something true: if something happens 3 times, it will be true. Of course, you probably won't have time to do all this. I did so to help you understand the concept better. By the way, the last two methods don't follow the order of operations, P.E.M.D.A.S. (operations in parentheses; exponents; multiplication; division; addition; subtraction). That's a heads-up in case you get an order of operations question so you don't make a mistake.

I hope this helps you! Have a great day!

3 0

3 years ago

A chemical solution contains 8% of a compound. If there is 16ml of that compound, what is the volume of the solution?

Amanda [17]

U should either multiply 8% by 16ml hope i helped. :)

8 0

4 years ago