Jack wants to make a wooden car.

Rita earns $16.00 per hour. If she gets a 3% raise, what will be her new hourly wage?

Vikentia [17]

All percentages can be expressed as fractions or decimals. To find a percentage of a number, we multiply the percentage with the number. In this case:
3/100 * 16/1 = 48/100 = 0.48
Or:
0.03 * 16 = 0.48
Her new hourly wage would be $16.48

5 0

3 years ago

Read 2 more answers

Which of the following is the solution set of x² + 8x + 12 = 0?

raketka [301]

Answer:

$\fbox{\begin{minipage}{9em}x = -2 and x = -6\end{minipage}}$

Step-by-step explanation:

Given:

$x^{2} + 8x + 12 = 0$

Solve for:

$x$

Solution:

Step 1: Select the formula to solve for $x$

There are some ways to solve quadratic equations.

One of the simple way (if possible) is performing the factorization.

Another way is using the quadratic formula.

Here, we are going to use factorization.

Step 2: Perform factorization

$x^{2} + 8x + 12 = 0$

<=> $x^{2} + 2x + 6x + 12 = 0$

<=> $(x^{2} + 2x) + (6x + 12) = 0$

<=> $x(x + 2) + 6(x + 2) = 0$

<=> $(x + 2)(x + 6) = 0$

<=> $x = -2$ or $x = -6$

Hope this helps!

:)

4 0

3 years ago

Work out m and c for the line: 3 y + 6 x = − 3

Usimov [2.4K]

Answer:

m is -2 and c is -1

Step-by-step explanation:

• Let's first phrase out the general equation of a line

${ \rm{y = mx + c}}$

m is the slope
c is the y-intercept

[ remember that a general line equation must be in slope - intercept form as shown above ]

• from our question, we are given the equation;

${ \rm{3y + 6x = - 3}}$

• let's make y the subject in order to make the equation in slope - intercept format.

→ remember to apply "subject making knowledge"

${ \rm{3y = - 3 - 6x}} \\ \\ { \rm{3y = - 6x - 3}} \\ \\ { \rm{ \frac{3y}{3} = \frac{ - 6x}{3} - \frac{3}{3} }} \\ \\ { \boxed{ \rm{y = - 2x - 1}}}$

• The above boxed equation is now a general equation. Let's extract out slope, m and y-intercept, c

${ \rm{m \: \dashrightarrow \: - 2}} \\ \\ { \rm{c \: \dashrightarrow \: - 1}}$

8 0

3 years ago

Choose True or False for each statement.

Margaret [11]

Answer:

1. True

2. False

3. False

4. True

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Mary had 4 friends over to study for a test. Before her friende arrived, she baked 4 pies to share equally among her and her 4 f

ivolga24 [154]

Answer:

7/8

Step-by-step explanation:

3 1/2pies ÷ 4friends = ?

3 1/2 ÷ 4 = .875 (in decimal form)

.875 as a fraction = 7/8

each person will get 7/8 of a pie

5 0

3 years ago