Wilson is a plumber, and his coworker Jonathan is an electrician. Wilson charges customers a fee of $126 just to come to their houses and then $3 per minute that he is there. Jonathan also charges a fee of $151 for a home visit, plus an additional $2 per minute. Last week the coworkers went to a job site together, spent the same amount of time working, and earned the same amount. How much time did each one spend working? How much did each one earn?

Total = 21 feet

if each is 3 feet

21/3 = 7

Therefore, there are 7 sections

Mathematics defines division as breaking into parts a larger unit to make several smaller units.

Division of 21 feet wallpaper into 3 feet section will give 7 small parts of the wallpaper.

To reach above answer, following calculation was made:

[tex]\begin{aligned} \rm Total\: length\:of \: the \:wallpaper &= 21\rm \:centimetres\\Length \:of\:each\:section &= 3\: \rm centimetres\end[/tex]

Therefore, number of sections will be the division of total length to length of each section.

[tex]\rm \begin{aligned} Number \:of \:sections &= \dfrac{\rmTotal\: length}{\rmLength\:of\:each\:section}\\ \\&= \dfrac{\rm 21\:centimetres}{\rm 3\:centimetres}\\\\&= \rm 7 \:sections \end[/tex]

Hence, 21 centimetres long wallpaper can be divided into 7 sections that are 3 centimetres long.

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You may want to take this question over to the business category though I believe the answer is C.

The others show how your money is moving, how it's being spent, where you plan on spending it, how much you save, etc. Wouldn't think liability is one of those.

Since 1A claims that the diagram is of a square, you can easily find the perimeter by multiplying just one side by 4, because the definition of a square says that all of its four sides are equal in length.

Take the left side, x and 4, and add them together, because both of these lengths add up to form the side of the square. You have found one side of the square, x + 4. Now multiply this side by 4 for the perimeter.

Perimeter is the length all around the figure, and since a square has 4 sides you would multiply one side by 4 to find the perimeter.

4(x + 4) is your expression for the perimeter of the square. You could probably solve 1B and 1C by substituting in 3 and 5 for x in the equation I've given you :)

The final table is in the attached picture.

Before beginning, you should note that:

To get rid of a fraction, this fraction should be multiplied that is equal to or is a multiple of its denominator.

This means that:

[tex]\frac{1}{y} * ay = a[/tex]

Now, for the given:

We have the equation: [tex]y = \frac{1}{3} x + 2[/tex]

The denominator of the fraction is 3, therefore to get rid of it we will need x to be a 3 or a multiple of 3.

Let's consider the x values to be -3, 0, 3 and 6.

For x = -3: [tex]y = \frac{1}{3} (-3) + 2[/tex] = -3 + 2 = -1 .....>First order pair is (-3,-1)

For x = 0: [tex]y = \frac{1}{3} (0) + 2[/tex] = 0 + 2 = 2 .....> Second order pair is (0,2)

For x = 3: [tex]y = \frac{1}{3} (3) + 2[/tex] = 1 + 2 = 3 .....> Third order pair is (3,3)

For x = 6: [tex]y = \frac{1}{3} (6) + 2[/tex] = 2 + 2 = 4 .....> Fourth order pair is (6,4)

Hope this helps :)

Answer:

Graph given on the top right side.

Step-by-step explanation:

Nina used 5 L of water from her rain barrel to water her plants every week.

She did this until her rain barrel was empty.

So barrel will be empty in the time = [tex]\frac{75}{5}=15[/tex] weeks.

Nina started watering when rain barrel contained 75L of water.

We draw a graph with water remaining on y-axis and weeks to get the barrel empty on x-axis.

Line representing this process will start from a point (0, 75) on y-axis and will end at x-axis at the point (15, 0).

Therefore, graph given on the top right side of the options is the correct answer.

The correct graph is the graph at the top right of the image given.

From the graph, we see that the water remaining is represented on the y-axis while weeks it will take for the barrel to get empty is represented on the x-axis.

This means that, the first coordinate will be; (0, 75). 0 on the x-axis and 75 on y-axis.

Number of weeks it took for the barrel to be empty = 75/5 = 15 weeks

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Steps:

2y-3=4y+6

2y-3+3=4y+6+3

2y=4y+9

2y-4y=4y+9-4y

-2y=9

-2y/-2=9/-2

y=-9/2

The correct answer is y=-9/2

ANSWER

Perpendicular bisector

EXPLANATION

The perpendicular bisector of a line divides the line into two equal parts.

It forms a locus of points that are equidistant from the two given points.

Therefore the set of all points that are equidistant from two given points in a plane is the perpendicular bisector of the line joining the two points.

(7, 5) and (14, 7)  are inside the shaded region. I would rule out  those which are not whole numbers ( 1/2 a daisy would look silly!)

Answer (7, 5) and (14, 7)

we know that

If a ordered pair is a solution of the combination of carnations and daisies that can be used in the floral arrangement

then

the ordered pair must be in the triangular region graphed and make sense in the context of the situation

using a graphing tool

we're going to proceed to graph and analyze each of the cases

see the attached figure to better understand the problem

Step 1

point [tex]A(6,8.5)[/tex]

The point A is on the triangular region, but the number of daisies is not a whole number

therefore

The ordered pair A  does not make sense in the context of the situation

Step 2

point [tex]B(7,5)[/tex]

The point B is on the triangular region, and the number of carnations and daisies are a whole number

therefore

The ordered pair B  makes sense in the context of the situation

Step 3

point [tex]C(13,5.6)[/tex]

The point C is on the triangular region, but the number of daisies is not a whole number

therefore

The ordered pair C  does not make sense in the context of the situation

Step 4

point [tex]D(12,5)[/tex]

The point D is not on the triangular region

therefore

The ordered pair D  does not make sense in the context of the situation

Step 5

point [tex]E(14,7)[/tex]

The point E is on the triangular region, and the number of carnations and daisies are a whole number

therefore

The ordered pair E  makes sense in the context of the situation

The answer is

[tex]B(7,5)[/tex]

[tex]E(14,7)[/tex]

So remember the product rule of radicals: √ab = √a × √b

In this case:

√2 × √5 × √11 = √(2 × 5 × 11) = √110

√110 is your final answer.

Answer: C) 111.1111

Step-by-step explanation:

here are the place values to the right of the decimal.

decimal → tenths → hundredths → thousandths → ten thousandths

    .               1                2                       3                       4

Round the number to 4 digits to the right of the decimal point.

Answer: C. 111.1111

To solve this question, let us take one part at a time.

Part 1 (MHz to GHz)

We know that 1 MHz=0.01 GHz

Therefore, [tex]63.45 MHz=63.45\times 0.001 GHz=0.06345 GHz[/tex]

Thus, for the time being we know that Option A is correct.

Part 2 (MHz to KHz)

We know that 1 MHz=1000 KHz

Therefore, [tex]63.45 MHz=63.45\times 1000 KHz=63450 KHz[/tex]

Thus, Option B too is correct.

Therefore, Both A and B are correct. Thus, out of the given options, Option C is correct.

Let f (x) be a quadratic equation of the form:

[tex]x^2+bx+c\\[/tex]

Where b and c are real numbers.

So a generic procedure for completing squares is:

1) identify b

In this case b = 10

2) divide b between 2 and then square it

[tex](\frac{b}{2})^ 2\\[/tex]

[tex](\frac{10}{2})^ 2=25\\[/tex]

3) Add and subtract [tex]b ^ 2[/tex] in the equation

[tex]x ^2+10x + 25 - 25 = 50\\[/tex]

[tex]x ^ 2 + 10x +25 = 75\\[/tex]

4) Rewrite the equation as follows

[tex](x+\frac{b}{2})^2=c\\[/tex]

[tex](x + 5) ^ 2 = 75\\[/tex]

The number that you must add to both sides of the equation is number [tex]25 = (\frac{b}{2})^2[/tex]

The completed form of the equation is (x + 5)² = 75.

To solve the equation x² + 10x = 50 by completing the square, you need to add a specific number to both sides to create a perfect square trinomial on the left side. Here’s how you do it step-by-step:

Therefore, the number that must be added to both sides to complete the square is 25.

$24 per hour * 263 hours = $6,312

It is a rate per hour times hours worked.

Answer:

Real power,P is 10.286 Watts

Step-by-step explanation:

We are given that in a parallel circuit, [tex]E_{T}=240V[/tex],R=5.6kΩ and [tex]X_{L}[/tex]=3.6kΩ

We are asked to find P which means real power, that is power due to resistance.

Let us find current through resistor first.

That is [tex]I_{R}=\frac{E_{T}}{R}=\frac{240}{5.6}=\frac{300}{7}=42.86[/tex]milli Amps=0.04286 A

Hence [tex]P=E_{T}I_{R}[/tex]

                    =240X0.04286=10.286 Watts

it is 8 or  10. multiply the 10d by 11 0r 12. 13 or 14

1 4/10 = 1/4 * 5.6 = 1.4 = 1 4/10

The product of the numbers (1/4) and 5.6 will be ( 7/ 5 ).

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

Given numbers are ( 1/4 ) and 5.6. The product will be calculated as:-

1/4 x 5.6 = 5.6 / 4

1/4 x 5.6 = 56 / 40

1/4 x 5.6 = 14 / 10

1/4 x 5.6 = 7 / 5

Therefore, the product of the numbers (1/4) and 5.6 will be ( 7/ 5 ).

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i believe that the median would be 98.5, because you add the two middle numbers which in this case are 99 and 98 and divide by 2.

98 or 98 1/2! Hope this helps ya! <3

            2⁴ + 7²

= 2x2x2x2 + 7x7

=        16     + 49

=             65

Answer: 65

The sum of [tex]2^4[/tex] and [tex]7^2[/tex] in standard form is [tex]6.5 \times 10^1[/tex].

To find the sum of [tex]2^4[/tex] and [tex]7^2[/tex] and write the answer in standard form, follow these steps:

Calculate [tex]2^4[/tex]:
[tex]2^4 = 2 \times 2 \times 2 \times 2 = 16[/tex]

Calculate [tex]7^2[/tex]:
[tex]7^2 = 7 \times 7 = 49[/tex]

Add the results from steps 1 and 2:
[tex]16 + 49 = 65[/tex]

Write the sum in standard form (also called scientific notation):
A number in standard form is written as [tex]a \times 10^n[/tex], where [tex]1 \leq a < 10[/tex] and [tex]n[/tex] is an integer.

For 65, we can write it as:
[tex]65 = 6.5 \times 10^1[/tex]

1. Yes they are congruent. You translate AB to move it over to CD. Specifically, shift 2 units to the right.

2. No, they are not congruent. QR is longer than MN. Congruent segments must be the same length.

3. No, they are not congruent. At first glance, they seem to be congruent after translation and reflection. However, XY is longer than UV, and those legs should be the same length for a pair of congruent triangles to be possible.

4. Yes they are congruent. You translate triangle ABC to move it over to triangle DEF (shift 1 to the left, 3 down).

                       Qty                    %                       Qty * %

Solution 1:        x                 6% = 0.06        =      0.06x

Solution 2:    392 - x         2% = 0.02        =      0.02(392 - x)  = 7.84 - 0.02x

Mixture:          392              5% = 0.05        =     0.06x + 7.84 - 0.02x

                                                 392(0.05)   =    0.08x + 7.84

                                                           19.6   =    0.08x + 7.84

                                                          11.76   =    0.08x

                                                            147    =      x

Solution 2:  392 - x    = 392 - (147)   = 245

Answer: 147 gallons 6% and 245 gallons of 2%

{x*0.02+0.06y=392*0.05

{x+y=392, x=392-y

0.04y=11.76, y=294; x=392-294=98

There is need 98 gallons of milk with 2% butterfat and 294 gallons of milk with 6% butterfat

Answer:

It is rotated 180 degrees then reflected on the y-axis

Step-by-step explanation: