Billy went on the Yahoo Finance website to check the value of his investment. Yesterday his stock was worth

When calculating the successive discounts of 15% and 10% on a $100 item, _____. a. take 10% of $85 b. take 10% of $90 c. take 15

tiny-mole [99]

It would be a, take 10% of $85 as the $15 is taken off first then the next discount is attached to the new price

4 0

3 years ago

Read 2 more answers

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

1 year ago

Kim’s age is twice that of her sister. When you add Kim’s age to her sisters age you get 42. How ils is each sister Write an equ

Rudik [331]

Step-by-step explanation:

Let Kim's sister age be x.

Kim's age 2x

According to the question :

2x + x = 42

X = 14

Kim's age = 28 years

Kim's sister's age = 14 years

8 0

3 years ago

Rembrandt framed his masterpiece. The painting by itself is a rectangle with length 20 \text{ cm}20 cm20, start text, space, c,

mojhsa [17]

Answer:

Step-by-step explanation:84% of a contractor’s jobs involves electrical work. 75% of a contractor’s jobs involve plumbing work. Of the jobs that involve plumbing, 90% of the jobs also involves electrical work. Let E = jobs involving electrical work L = jobs involving plumbing work Suppose one of the contractor’s jobs is randomly selected. Using the sixth Excel worksheet, a) Find P(E). 0.84 b) Find P(L). 0.75 c) In words, what does E | L mean? d) Find P(E | L). e) Find P(E and L). f) Are E and L independent events? Why or why not? g) Find P(E or L). h) Are E and L mutually exclusive? Why or why not

4 0

3 years ago

Bo has 144 stickers on a page. He gives 2/9 of the stickers to his sister. He gives 16 stickers to his friend. How many does Bo

Annette [7]

Answer:

127 7/9

Step-by-step explanation:

144 - 2/9

144/1 - 2/9

(144×9)−(2×1)/1×9

1296-2/9

1294/9

= 143 7/9

143 7/9 - 16

= 127 7/9

3 0

2 years ago

Read 2 more answers