Caleb is a junior at JA Enterprise High School and plays rugby on the school team. He has a part-time job at a local fast-food restaurant and works 20 hours a week for $7.60 an hour. His gross monthly income is $608.00, and his take-home pay is $501.64. In his spare time, Caleb walks a dog belonging to an elderly neighbor. He earns an additional $40 per month for that chore. What is Caleb's net monthly income? Remember net income is your take home pay.

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1)    you have :  x_1 =5  and  y_1 =4

m the slope  m= -2 (same slope for the line : 2x+y=3 because this lines are parallel and you can write y=-2x+3

an equation for this line is : y-4 = -2(x-5)

Final answer:

The equation of the line parallel to 2x + y = 3 and passing through the point (5, 4) is y = -2x + 14.

Explanation:

To find the equation of a line that is parallel to the given line 2x + y = 3 and passes through the point (5, 4), we first need to put the given line into slope-intercept form (y = mx + b), where m represents the slope and b the y-intercept. For the equation 2x + y = 3, we solve for y to get y = -2x + 3, which shows that the slope (m) is -2. Since parallel lines have the same slope, our new line will also have a slope of -2.

Using the point-slope form (y - y1 = m(x - x1)), where (x1, y1) is the point (5, 4) and m is -2, we get y - 4 = -2(x - 5). Simplifying this, y - 4 = -2x + 10, which leads to y = -2x + 14 as the equation of the line passing through (5, 4) and parallel to 2x + y = 3.

Answer:

(-3, -4)

Step-by-step explanation:

The solid circles along the parabola are:

(-6, 5), (-5, 0), (-4, -3), (-3, -4), (-2, -3), (-1, 0), (0, 5).

Although on observation, the minimum point of y occurs at (-3, -4), we can also confirm through the function.

The x-intercept of the parabola are -5 and -1.

x=-5 or x=-1

x+5=0 or x+1=0

(x+5)(x+1)=0

[tex]x^2+5x+x+5=0\\x^2+6x+5=0[/tex]

The Vertex of the equation occurs at the axis of symmetry, [tex]x=-\dfrac{b}{2a}[/tex]

In [tex]f(x)=x^2+6x+5, a=1, b=6[/tex]

Axis of Symmetry, [tex]x=-\dfrac{6}{2}=-3[/tex]

[tex]f(-3)=(-3)^2+6(-3)+5=9-18+5=-4[/tex]

Therefore, we can confirm that the vertex is (-3,-4) as stated earlier.

(x-5)*2 +(y-4)*2=25

Explanation

Equation of circle is (x-a)*2 + (y-b)*2=r*2

Expand equation to get

x*2 - 2ax + y*2- 2by+ b*2= 0

Then take the points and put them into the equation

You will then have two equations

Solve them simultaneously to find a and b

Where a= 5 and b = 4

After put it back to the equation of the circle

Answer:

c 364

Step-by-step explanation:

this is the correct answer because the rest are lower answers

Answer:

the answer is 7% of 5,200.

Step-by-step explanation:

35% of 1000 is 350

10% of 375 is 37.5

07% of 5,200 is 364

and 50% of 640 (320) plus 25% of 160 (40) is 360

hope this helps!

Answer:

A

Step-by-step explanation:

to find the circumference of a circle, u multiply the diameter by pi. pi is approximately 3.14. 12.2 times 3.14 is 38.308. rounded to the nearest tenth it is 38.3 :)

Answer:

522

Step-by-step explanation:

For an n-sided polygon, with apothem a, and side s, the area is

A = ans/2

A = (12)(5)(17.4)/2

A = 522

The sum of all andles in quadrilateral is equal to 360°, so

[tex]5x - 30 + 60 - x + 3x + 60 + 4x + 50 = 360 \\ 11x = 220 \\ x = 20[/tex]

Now we need to put x into polynomials

1)

[tex]5 \times 20 - 30 = 70[/tex]

2)

[tex]60 - 20 = 40[/tex]

3)

[tex]3 \times 20 + 60 = 120[/tex]

4)

[tex]4 \times 20 + 50 = 130[/tex]

Answer: the smallest ahgle is 60-x

Answer:

No.

Step-by-step explanation:

First class section seats: 5/7 = 10/14 so 10 seats are being used.

Business: 5/16 = 20/64, 20 seats are being used.

Economy: 5/9 = 60/108, 60 seats are being used.

10 + 20 + 60 = 90

108 + 64 + 14 = 186

90/186 is less than 1/2, because 1/2 = 93/186

Answer:

I think the answer is 2/15 but I'm not a hundred percent sure

Ashley would use [tex]\(\frac{2}{15}\)[/tex] cup of vinegar to make [tex]\(2/3\)[/tex] of her salad dressing recipe.

To find out how much vinegar Ashley would use to make 2/3 of her salad dressing recipe, we need to calculate the amount of vinegar used in the full recipe and then scale it down to 2/3 of that amount.

In the full recipe, Ashley uses 1/5 cup of vinegar. To make 2/3 of the recipe, we multiply the amount of vinegar needed for the full recipe by 2/3:

[tex]\[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{1}{5} \text{ cup} \times \frac{2}{3} \] \[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{1}{5} \times \frac{2}{3} \text{ cup} \] \[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{1 \times 2}{5 \times 3} \text{ cup} \] \[ \text{Vinegar for } \frac{2}{3} \text{ of the recipe} = \frac{2}{15} \text{ cup} \][/tex]

So, Ashley would use [tex]\(\frac{2}{15}\)[/tex] cup of vinegar to make 2/3 of her salad dressing recipe. Simplifying [tex]\(\frac{2}{15}\)[/tex] gives us [tex]\(\frac{2}{15} = \frac{2 \div 1}{15 \div 1} = \frac{2}{15}\)[/tex], which is already in its simplest form. Thus, the final answer remains [tex]\(\frac{2}{15}\)[/tex] cup of vinegar.

Answer:

Part A Answer = 206

Part B Answer= 5

Step-by-step explanation:

Part A Explanation:

The formula for volume of a cone is V=(1/3) pi*r^2 h

So then you plug in. V= 1/3 pi (4)^2(11)

You get the radius by dividing the diameter by 2

When you multiply  it all it becomes 184.31cm^3 (Save this for later on in this Part A question)

Now we have to find the Volume of the cooler. That would be: 10*3785=37850 Since there were 10 gallons and each gallon is 3785 cm^3 you multiply them together.

Then you divide the volume of the cooler by the volume of the cone cup: 37,850/184.31=205.36 but since you cannot have 205.36th of a cup you need to get another one since 205 would not be enough giving us a total of 206 cups.

Part B explanation: Since there are 50 cups per package you would have to divide 206 by 50. 206/50=4.12 but again since you cannot buy 4.12 of a package you need to buy 5 packages for it to be enough.  

Answer:

20 ft

Step-by-step explanation:

The 2 triangles are similar, thus the ratios of corresponding sides are equal.

let h be the height of the tree, then

[tex]\frac{h}{5}[/tex] = [tex]\frac{32}{8}[/tex] = 4 ( multiply both sides by 5 )

h = 20

The height of the tree is 20 ft

The height of the tree that both triangles are similar to is 20 feet.

If two figures look an exact shape but their size could be small or big then both figures are called similar figures.

When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.

As per the given two triangles,

Let's say the height of the tree is h.

By similar triangle property

h/32 = 5/8

h = (5/8)32

h = 5 x 4 = 20 feet

Hence "The height of the tree that both triangles are similar to is 20 feet".

To learn more about symmetry,

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Answer:

B

Step-by-step explanation:

25x² - 144 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b), thus

25x² - 144

= (5x)² - 12²

= (5x + 12)(5x - 12) → B

Answer:

B) ( 5x + 12 ) ( 5x - 12 )

Step-by-step explanation:

Since we have options we could try expanding all of them out.

A) ( 12 + 5x ) ( 12 - 5x )

144 - 60x + 60x - 25x² = 144 - 25x²

That's not the answer we are looking for so we cross out "a" as an option

B) ( 5x + 12 ) ( 5x - 12 )

25x² - 60x + 60x - 144 = 25x² - 144

This is the answer which we are looking for so B is the answer

Answer:

Income tax is a separate issue from sales tax when you're running a small business. Income tax is the amount you pay on your total income from the business to the federal and state government. Sales tax is a percentage amount that your customers have to pay when they purchase certain items from your business.

Step-by-step explanation:

Answer:

Angle 7 and angle 15

Step-by-step explanation:

Alternate interior angles with angle 9 are:

Transversal s, parallel lines are t and u,

Transversal u, parallel lines are s and r,

If angle 9 is an interior angle within a pair of parallel lines cut by a transversal, then there would be one alternate interior angle to angle 9. The alternate interior angles are those inside the lines and on opposite sides of the transversal.

In a pair of parallel lines cut by a transversal, the alternate interior angles are those angles that are inside the pair of lines and on opposite sides of the transversal. The alternate interior angles are equal when the lines are parallel. From your question, it's not clear which lines are parallel and where angle 9 is located.

Let's assume that angle 9 is one of the interior angles created by the transversal on a pair of parallel lines. In that case, there would be one angle that is an alternate interior angle to angle 9. So without more information, we can only say that there is one alternate interior angle to angle 9.

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Answer:

  [-1, 1]

Step-by-step explanation:

Comparing each table value to the one before, we find the function to be increasing on the interval [-1, 1].

__

The graph in the second attachment shows that integer interval to be the only one where the function is increasing.

Answer:

-1,1

Step-by-step explanation:

time for learning

Answer:

The cost of soft drink is $0.95

Step-by-step explanation:

Let the cost of hot dog be x

Cost of 2 hot dogs = 2x

Let the cost of soft drink be y

Cost of 3 soft drinks = 3y

At a cost restaurant the cost for a hot dog and a soft drink is $2.10.

So, x+y=2.10

The cost for two hot dogs and three soft drinks is $5.15

So, 2x+3y=5.15

Plot the lines on the graph:

x+y=2.10 --Purple line

2x+3y=5.15 --- Black Line

Intersection point =(x,y)=(1.15,0.95)

Hence The cost of soft drink is $0.95

Answer:1+1=2

Step-by-step explanation:Because 1+1=2

Answer:

2

Step-by-step explanation:

Answer:

[tex]6\left(5w+8\right)[/tex]

Step-by-step explanation:

[tex]30w+48[/tex]

[tex]6\cdot \:5w+6\cdot \:8[/tex]

[tex]6\left(5w+8\right)[/tex]

The measurements of the angles ∠ABD and ∠ACD will be 34° and 34°. Then the correct option is C.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The central angle is double the angle at the periphery that was subtended by the same chords.

Then the arc AD is double of angle ∠ABD.

∠ABD = arc AD / 2

∠ABD = 68° / 2

∠ABD = 34°

Similarly, the arc AD is double of angle ∠ACD.

∠ACD = arc AD / 2

∠ACD = 68° / 2

∠ACD = 34°

Thus, the measurements of the angles ∠ABD and ∠ACD will be 34° and 34°.

Then the correct option is C.

More about the circle link is given below.

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Answer: The factory produced 46845.3076923 cookies, though in context the answer does not make sense. If you were to estimate then it'll be 46845 cookies.

Answer: -8(y-5) = (x-3)2

Step-by-step explanation:

Well, p(y-k) = (x-h)2 has Vertex (h,k) = (3,5).  So the Distance from vertex to directrix is 2; distance from vertex to focus is 2; focus is directly beneath the vertex.  Therefore it's  p = -2  ( I hope this helped<3)

Answer:

160ft

Step-by-step explanation:

155% of what number is 93?:

60

Answer:

C. by hiring a local agent or broker who is familiar with her needs

and

E. by registering on the website of a national insurance company

Step-by-step explanation:

Just got this right on Plato :)

To independently obtain additional insurance, Natasha has two main options: hiring a local insurance agent or broker for personalized service, or registering on the website of a national insurance company for convenience and direct-purchase options.

Natasha can accomplish her goal of obtaining additional insurance coverage independently from her employer by following two main paths:

By consulting a local insurance agent or broker, she can receive personalized advice and find coverage that fits her specific situation.

On the other hand, registering on the website of a national insurance company allows her the convenience to compare different plans and sign up for insurance that she can directly purchase.

Doing either will help her cover personal assets and health beyond what her employer provides without affecting her existing employment-based insurance coverage. It's important for her to assess her individual needs, risk factors, and financial situation when choosing the best insurance plans for her lifestyle.

Answer:

The area of the grass that died is 2,289.06 cm²

Step-by-step explanation:

In order to calculate the area of the grass that died, we need to calculate the area of the bottom of the trash can. Since it's a circular shape it's area is given by:

area = pi*r²

Where r = d/2, therefore:

r = 54/2 = 27 cm

Applying this data to the formula, we have:

area = pi*(27)² = 2,289.06 cm²

The area of the grass that died is 2,289.06 cm²

Answer:

Width = 7 units

Step-by-step explanation:

Length = x units

Width = (x -1) units

Area = 56 square units

length * width = 56

x * (x - 1) = 56

x*x - x*1 = 56

x² - x  - 56 = 0

x² -8x + 7x - 7*8 = 0

x(x - 8) + 7(x - 8) = 0

(x - 8)(x + 7) = 0

Here, (x +7) is ignored because measurement will not  in negative.

x - 8 = 0

x = 8

Length =  8 units

Width = 8-1 = 7 units

Width

Answer:

200 liters.

Step-by-step explanation:

To solve this, let's first set C in our equation to .7, since that is the concentration we are aiming for.

.7= [tex]\frac{(x+0.1(100))}{x+100}[/tex]

Next, we can simply this equation further:

.7= [tex]\frac{(x+10)}{x+100}[/tex]

We can multiply both sides by the denominator, resulting in:

.7x+70= x+10

Finally, continue simplifying to solve for x:

60= .3x

x= 200 liters.

Answer:

Step-by-step explanation:

Given

Length of the minute hand = 14 inches

Time = 1 hour

Required

Length of the path traced in 1 hour

For, the minute hand to have completer an hour, this means it completes a cycle;

1 cycle is equivalent to 1 complete rotation;

So, basically the question implies that; the circumference of the complete rotation be solved for;

To solve for this; we make use of the circumference formula;

[tex]C = 2\pi r[/tex]

Where

C represents the circumference

r represents the radius or the length of the minute hand

[tex]\pi = \frac{22}{7}[/tex] --- This is given from the question;

By substitution, we have

[tex]C = 2 * \frac{22}{7} * 14[/tex]

[tex]C = \frac{2 * 22 * 14}{7}[/tex]

[tex]C = \frac{616}{7}[/tex]

[tex]C = 88 inches[/tex]

Hence, the length of the path traced is 88 inches