All categories

3 years ago

Jonah earned $5 more than half of Karen's salary, k. Which of the following expressions represents Jonah's earnings?

Mathematics

2 answers:

Mashutka [201]3 years ago

4 0

Answer:

one half×k + 5 is the correct expression that represents Jonah's salary

snow_lady [41]3 years ago

4 0

The answer is 0.5(k+5)

You might be interested in

Find the equation of the line perpendicular to y = 3x + 6 and containing the point (-9,-5).

neonofarm [45]

The equation of the line perpendicular to y = 3x + 6 and containing the point (-9,-5) is $y = \frac{-1}{3}x - 8$

Solution:

Given that line perpendicular to y = 3x + 6 and containing the point (-9, -5)

We have to find the equation of line

The slope intercept form is given as:

y = mx + c ------ eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Let us first find the slope of line

The given equation of line is y = 3x + 6

On comparing the given equation of line y = 3x + 6 with eqn 1, we get,

m = 3

Thus the slope of given equation of line is 3

We know that product of slopes of given line and slope of line perpendicular to given line is equal to -1

Slope of given line $\times$ slope of line perpendicular to given line = -1

$3 \times \text{ slope of line perpendicular to given line }= -1$

$\text{ slope of line perpendicular to given line } = \frac{-1}{3}$

Let us now find the equation of line with slope $m = \frac{-1}{3}$ and containing the point (-9, -5)

Substitute $m = \frac{-1}{3}$ and (x, y) = (-9, -5) in eqn 1

$-5 = \frac{-1}{3}(-9) + c\\\\-5 = 3 + c\\\\c = -8$

Thus the required equation of line is:

Substitute $m = \frac{-1}{3}$ and c = -8 in eqn 1

$y = \frac{-1}{3}x - 8$

Thus the required equation of line perpendicular to given line is found

6 0

4 years ago

Solve each equation. Check your solution. –3b + 7 = –15 + 2b

Gnoma [55]

Exact form: b= 22/5

Decimal form: b= 4.4

Mixed number form: b= 4 2/5

6 0

3 years ago

Read 2 more answers

Jordana wrote the equation for a linear relationship as y = -8x-4. For what value of x is y equal to -16

victus00 [196]

So our two equations are y=-8x-4 and y=-16, and since in both equations, something equals the same y, those two are the same. So we can combine the two into -16=-8x-4. In the question, they are asking to solve for x. So to do that, you need to isolate your variable. Now for solving algebraic equations, you use reverse PEMDAS (SADMEP), meaning you add 4 to both sides to clear the -4 one the rights side to get -12=-8x. Then you divide both sides by -8 to get 12/8, which simplifies to 3/2.

3 0

4 years ago

Convert 5.6 m into centimeters. Show work.

Nata [24]

Answer:

560 cm

Step-by-step explanation:

Step 1: Find conversion

1 m = 100 cm

Step 2: Convert

5.6 m · 100 cm/m = 560 cm

6 0

3 years ago

Read 2 more answers

Ms.Miller decides to give a test worth 120 points and contains 36 questions. Multiple-choice questions are worth 3 points and op

wariber [46]

The number of multiple-choice questions is 30.

The number of open-response questions is 6.

<h3>What is an equation?</h3>

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 - 9 is an equation.

We have,

Number of multiple choice questions = M

Number of open response questions = N

We can make two equations.

M + N = 36 _______(1)

3M + 5N = 120 ______(2)

From (1) we get,

M = 36 - N ______(3)

Putting (3) in (2) we get,

3(36 - N) + 5N = 120

108 - 3N + 5N = 120

2N = 120 - 108

2N = 12

N = 6

Now,

Putting N = 6 in (3) we get,

M = 36 - 6

M = 30

Thus,

The number of multiple-choice questions and open-response questions is 30 and 6.

Learn more about equations here:

brainly.com/question/17194269

#SPJ1

4 0

1 year ago