1. Dan charges $15 per hour for walking dogs. What is the missing number in the table?

A furniture dealer purchased a desk for $150 and then set the selling price equal to the purchase price plus a markup that was 4

zalisa [80]

Answer:

B. $60.00

Step-by-step explanation:

$150.00 x .40=$60.00

5 0

4 years ago

Equation of line that is parallel to 2x = 1-3y and passes through (9,4)

DanielleElmas [232]

Answer:

y = -(2/3)x + 10

Step-by-step explanation:

1. The first thing to note is that when two lines are parallel, their gradients are the same. This means that the line that we are looking for will have the same gradient as that of the line 2x = 1 - 3y.

Thus, what we must first do is find the gradient of the line 2x = 1 - 3y; one way to do this is to write it in the form y = mx + c, where m is the gradient and c is the y-intercept.

2x = 1 - 3y

2x + 3y = 1 (Add 3y to both sides)

3y = 1 - 2x (Subtract 2x from both sides)

3y = -2x + 1 (Swap +1 and -2x)

y = -(2/3)x + 1/3 (Divide both sides by 3)

From the equation above, we can see that the gradient is -2/3.

2. We are now aware that the gradient of the line we are looking for is -2/3 and that there is a point on the line with coordinates (9, 4).

In order to find the equation of the line, we can substitute these values into the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the gradient.

In our case, m = -2/3, (x1, y1) = (9, 4). Thus, we get:

y - 4 = -2/3(x - 9)

y - 4 = -(2/3)x + 6 (Expand -2/3(x - 9) ; note that a negative value multiplied by a negative value is a positive value)

y - 4 + 4 = -(2/3)x + 6 + 4 (Add 4 to both sides)

y = -(2/3)x + 10

Thus, the equation of the line that is parallel to the line 2x = 1 - 3y, is y = -(2/3)x + 10.

Note that this can be written in many different ways, for example it may also be written as 3y = -2x + 30 (in which case, we have simply removed the fraction in the equation by multiplying both sides by 3), or 2x = 30 - 3y (which mimics the format of the equation in the question). These are all valid answers, it just depends on whether the question requires you to write it in a particular form.

Hope that helps, but if you have any further questions about the problem or answer please feel free to comment below :)

5 0

4 years ago

Find the absolute value of each rational number |3.7|

Aloiza [94]

$|a|=a \hbox{ if } a \geq 0 \\
|a|=-a \hbox{ if } a \leq 0 \\ \\
|3.7|=3.7$

6 0

3 years ago

Read 2 more answers

(Multiying by a unit fraction. Find the product mentally. (5.6) × 1/8=

Ipatiy [6.2K]

Step-by-step explanation:

(5.6) × 1/8

$(5.6) \cdot \frac{1}{8}$

Here the unit fraction is 1/8

multiply 5.6 times 1

so its 5.6. then divide the decimal by 8

we know that 8 times 7 is 56

so 56 divide by 8 is 7

we have decimal point 1 number to the left

so we move decimal point 2 place left

Hence 5.6 divide by 8 is 0.7

$(5.6) \cdot \frac{1}{8}=0.7$

Answer: 0.7

6 0

4 years ago

Pleaseeeee helpp :(((

klasskru [66]

<h3>Answers</h3>

1a. Graph is decreasing on the interval $3 < x < 13$ .
1b. Graph is increasing on two separate intervals: $0 < x < 3 \text{ and } 13 < x < 18$
2. Min value = 0.75, Max value = 3
3. Domain = $0 \le x \le 18$ , Range = $0.75 \le y \le 3$

=======================================================

Explanations:

1a. The graph decreases whenever the curve goes downhill as you read from left to right. This is from x = 3 to x = 13. So the decreasing interval is $3 < x < 13$ See figure 1 below.
1b. The graph increases when the graph goes uphill. This happens two separate times. First from x = 0 to x = 3. Then the second portion is from x = 13 to x = 18. Refer to figure 1.
2. The min value is the smallest y value possible. This is y = 0.25 as shown in figure 2. This is where the lowest point on the so called "roller coaster" occurs. The max value is y = 3 which is where the highest point is located.
3. The domain is the set of all allowed x values. This is from x = 0 to x = 18, including both endpoints. So we say the domain is $0 \le x \le 18$ . The range is a similar story but for the y values. The range is $0.75 \le y \le 3$ , which has its endpoints match up perfectly with the min and max found earlier.

8 0

3 years ago