Complete the table. Original Price Percent of Discount Sale Price $42 15% $

Step-by-step explanation:

Given:

[tex] (2,\:0)=(x_1,\:y_1) \:\&\: m = - \frac{4}{5}[/tex]

Equation of line in slope point form is given as=

[tex]y - y_1 = m(x-x_1) \\ \therefore \: y - 0 = - \frac{4}{5}(x - 2) \\ \therefore \: y = - \frac{4}{5}(x - 2) \\ \therefore \: 5y = - 4(x - 2) \\ \therefore \: 5y = - 4x + 8 \\ \therefore \: 5y + 4x - 8 = 0 \\\therefore \: 4x + 5y - 8 = 0 \\ which \: is \: the \:equation \:of \: required \: \\ line.\: [/tex]

Answer:

I think 2.333333333

Step-by-step explanation:

Answer:

D. 2 + 1/3 Cups of Flour

Step-by-step explanation:

84 Cups of Flour / 36 Batches of Cookies

                            =

x Cups of Flour /  1 Batch of Cookies

x = 7/3 Cups of Flour

D. 2 + 1/3 Cups of Flour

Answer:

4

Step-by-step explanation:

the circumference is always a half of the radius

Answer:

z = 29

Step-by-step explanation:

GF = HE

z + 29 = 2z

Step 1:  Solve for z

z + 29 - z = 2z - z

29 = z

Answer:  z = 29

Final answer:

To calculate the total annual premium for the welding shop, the premiums for the four welders and the secretary are calculated separately based on their wages and rates, and then added together, resulting in a total annual premium of $15,958.

Explanation:

The question is asking us to calculate the total annual premium for workers' compensation insurance for a small welding shop with four welders and one secretary, based on their respective wages and insurance premium rates.

First, we will calculate the premium for the welders. Since there are four welders each earning $37,000 per year, the total wages for welders is:

$37,000 x 4 = $148,000

The insurance premium per welder is $10.57 per $100 of gross wages. To find the total premium for all welders, we do:

($10.57/$100) x $148,000 = $15,643.60

Next, we'll calculate the premium for the secretary. The secretary earns $24,000 per year, and the insurance premium is $1.31 per $100 of gross wages, which gives us:

($1.31/$100) x $24,000 = $314.40

Adding the premiums for the welders and the secretary gives us the total annual premium:

$15,643.60 + $314.40 = $15,958

So, the total annual premium for the workers' compensation insurance for the welding shop is $15,958.

The total annual premium for the workers' compensation insurance is $15,958.00.

1. Calculate the premium for each welder:

  - Each welder earns $37,000 per year.

  - Premium rate for welders: $10.57 per $100 of gross wages.

  - Annual premium for one welder:

[tex]\[ \text{Premium for one welder} = \left( \frac{37,000}{100} \right) \times 10.57 = 370 \times 10.57 = 3,910.90 \text{ dollars} \][/tex]

  - Since there are four welders:

   [tex]\[ \text{Total premium for welders} = 3,910.90 \times 4 = 15,643.60 \text{ dollars} \][/tex]

2. **Calculate the premium for the secretary:

  - The secretary earns $24,000 per year.

  - Premium rate for the secretary: $1.31 per $100 of gross wages.

  - Annual premium for the secretary:

[tex]\[ \text{Premium for secretary} = \left( \frac{24,000}{100} \right) \times 1.31 = 240 \times 1.31 = 314.40 \text{ dollars} \][/tex]

3. Calculate the total annual premium:

 [tex]\[ \text{Total annual premium} = 15,643.60 + 314.40 = 15,958.00 \text{ dollars} \][/tex]

please make brainiest.

Answer:

4 packs of 5

3 packs of 2

Step-by-step explanation:

5•4=20

2•3=6

20+6=26

Let's solve this problem using a system of equations. We'll use two variables:
Let \( x \) be the number of gourmet treat packages (each with 2 treats).
Let \( y \) be the number of dental treat packages (each with 5 treats).
We have two pieces of information that will translate into equations:
1. The dog groomer buys 7 packages in total: \( x + y = 7 \)
2. The dog groomer buys 26 treats in all: \( 2x + 5y = 26 \)
Now, we have a system of two equations with two variables:
\[ \begin{align*}
x + y &= 7 \quad \text{(Equation 1)} \\
2x + 5y &= 26 \quad \text{(Equation 2)}
\end{align*} \]
We will solve this system using the substitution or elimination method. Let's use substitution in this case. We can solve Equation 1 for \( x \):
\[ x = 7 - y \]
Next, we substitute \( 7 - y \) for \( x \) in Equation 2:
\[ 2(7 - y) + 5y = 26 \]
Expanding and simplifying,
\[ 14 - 2y + 5y = 26 \]
Combine the \( y \) terms:
\[ 3y = 26 - 14 \]
\[ 3y = 12 \]
Divide both sides by 3 to solve for \( y \):
\[ y = \frac{12}{3} \]
\[ y = 4 \]
Now that we have \( y \), we can find \( x \) using \( x = 7 - y \):
\[ x = 7 - 4 \]
\[ x = 3 \]
So, the dog groomer bought 3 packages of gourmet treats and 4 packages of dental treats.
To check if the solution is correct, we can plug the values back into the original equations:
Equation 1 (number of packages)
\[ 3 + 4 = 7 \] (Correct)
Equation 2 (total number of treats)
\[ 2(3) + 5(4) = 6 + 20 = 26 \] (Correct)
The solution is correct, and the problem is solved. The dog groomer bought 3 packages of gourmet treats and 4 packages of dental treats.

[tex]\left(x^{2}-6\right)(x+5)[/tex] are the factors of the expression by grouping

Step-by-step explanation:

[tex]x^{3}+5 x^{2}-6 x-30[/tex]

We have to group the terms as,

[tex]\left(x^{3}+5 x^{2}\right)-(6 x-30)[/tex]

We can take the common factors as,

= [tex]x^{2}(x+5)-6(x+5)[/tex]

So it can be written as,

= [tex]\left(x^{2}-6\right)(x+5)[/tex]

So it was factorized by grouping.

Answer:

Step-by-step explanation:

it is shifted 4 units down.

y=f(x)

y=f(x)+a,a>0

it is shifted a units up .

y=f(x)-a ,a>0

it is shifted a units down.

Final answer:

The graph of y=-6x²-4 is the same as the graph of y=-6x² but shifted 4 units down. This shift is because a constant term (in this case -4) added or subtracted from a function results in a vertical shift of the graph.

Explanation:

The question asks how the graph ofy=-6x²-4  differs from the graph ofy=-6x². This is a situation where we are dealing with vertical shifts in quadratic functions. Looking at the function y = f(x), a subtraction of a constant term outside the function (not multiplying x) results in a vertical shift of the graph. Here, y=-6x²-4  is the same function as y=-6x², but with a vertical shift downwards by 4 units, resulting in the graph being shifted 4 units down.

For clarification and based on transformations, if we had a function f(x) = x² and transformed it to f(x) = x²- 4, the graph would shift vertically down by 4 units. Similarly, the graph of y=-6x², a downward-facing parabola with its vertex at the origin, will be shifted down by 4 units due to the -4 at the end of y=-6x²-4. Therefore, the correct answer is that the graph is shifted 4 units down.

Answer:

6 or 6/1

Step-by-step explanation:

Multiple: -2 * (-3) = 6

Answer:81,000.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Because two times 5 equals ten

Answer:

5 cans.

Step-by-step explanation:

Divide 10 with 2 to get your answer.

10/2 = 5

5 cans of pineapple chucks can be bought with $10.

Answer:

Mara did not divide correctly

Step-by-step explanation:

She had to divide 2666 by 266.6 which should have given her 10

Answer:

she did not divide correctly

Step-by-step explanation:

just did the test got it right

Answer:

(1/2) = 0.50.

Answer: 0.5

Step-by-step explanation: the answer is 0.5 because 1/2 i half of something 0.5 is half of 1 making 1/2 equivalent to 0.5

Answer:

I believe it is A

Step-by-step explanation:

because if the time is 24.78 and you have to get the exact time then then answer is A but if it asks you to round to the nearest millisecond then then its B. Sorry if its confusing hope this helps! :)

Final Answer:

Option B, 24.8 seconds, is the most appropriate way to report time using this stopwatch.

Explanation:

The most appropriate way to report time from a stopwatch that measures to the nearest 0.1 seconds is to report the time to the same level of precision. This means that we should report the time with one decimal place, as the stopwatch does not provide measurements with a greater precision than that.

Given the options:
A. 24.78 seconds - This shows two decimal places, which is more precision than the stopwatch can measure. It should not be used.

B. 24.8 seconds - This shows one decimal place, which matches the precision that the stopwatch is capable of measuring. This is the correct way to report the time.

C. 24.778 seconds - This shows three decimal places, which is again more precision than the stopwatch can measure. It should not be used.

D. 25 seconds - This has no decimal places, thus it does not represent the precision of the stopwatch which is to the nearest 0.1 seconds. It should not be used.

Therefore, option B, 24.8 seconds, is the most appropriate way to report time using this stopwatch.

The solution to the system of equations is [tex]\( (4, 4) \)[/tex]. Therefore the correct option is a.

Given equations:

1. [tex]\( y = x^2 - 6x + 12 \)[/tex]

2. [tex]\( y = 2x - 4 \)[/tex]

To find the solution to the system, we'll set the two equations equal to each other because they both equal [tex]\( y \)[/tex]. So:

Step 1:

[tex]\[ x^2 - 6x + 12 = 2x - 4 \][/tex]

Now we will move all terms to one side to set the equation to zero.

Step 2:

[tex]\[ x^2 - 6x + 12 - 2x + 4 = 0 \][/tex]

[tex]\[ x^2 - 8x + 16 = 0 \][/tex]

This is a quadratic equation. To solve for [tex]\( x \)[/tex], we can either factor the quadratic, use the quadratic formula, or complete the square. The equation in Step 2 seems to be a perfect square trinomial.

Step 3:

The equation [tex]\( x^2 - 8x + 16 \)[/tex] factors to [tex]\( (x - 4)^2 = 0 \)[/tex].

Step 4:

Now, we solve for [tex]\( x \)[/tex] by taking the square root of both sides.

[tex]\[ (x - 4)^2 = 0 \][/tex]

[tex]\[ x - 4 = 0 \][/tex]

[tex]\[ x = 4 \][/tex]

Now that we have the value of [tex]\( x \)[/tex], we can substitute it back into either of the original equations to solve for [tex]\( y \)[/tex]. We can use the simpler equation [tex]\( y = 2x - 4 \)[/tex].

Step 5:

[tex]\[ y = 2(4) - 4 \][/tex]

[tex]\[ y = 8 - 4 \][/tex]

[tex]\[ y = 4 \][/tex]

So the solution to the system of equations is [tex]\( (4, 4) \)[/tex]. There is only one solution because the quadratic equation had a repeated root, meaning the lines intersect at exactly one point.

The complete question is given below:

Answer: I think 24

Step-by-step explanation: This is because the least is them multiplied by each other.  

Answer: 8

Step-by-step explanation: 8 times 8 is 64.

Answer:

8

Step-by-step explanation:

[tex]8^{2} = 64[/tex]

Answer:

Option D. Y equals 4 divided by x.

Step-by-step explanation:

The picture of the question in the attached figure

we know that

Looking a t the graph

For x=1, y=4

For x=4, y=1

For x=-1, y=-4

For x=-4, y=-1

therefore

The equation that satisfy  these values is

[tex]y=\frac{4}{x}[/tex]

Answer:

The phrase that best describes the the line representing the relationship between the number of balloons remaining and the number of hats created is: Negative slope. Constant slope.

Step-by-step explanation:

Answer: Negative slope

constant slope

decreasing function

for edge

Answer:

See below

Step-by-step explanation:

0.253 can be written as 253/1000

7.632 can be written as 7 632/1000 or 7 79/125 simplified

The least amount of money Azand could have earned by selling books is $2640. This is because it would allow him to purchase an exact number of concert tickets without any money left over. Therefore, the least number of books he sold is 60.

The subject of your question is Mathematics, specifically an application of simple arithmetic and algebra within the context of real world scenarios. To find out the least amount of money Azand could have earned from selling the books and the least number of books he could have sold, we need to realize one key piece of information: the total money spent on tickets (which is also the total money earned from the books) needs to be a multiple of both $44 (the cost of a book) and $60 (the cost of a ticket).

To find the lowest common multiple you simply multiply the numbers together. This gives $2640. Therefore, the least amount of money Azand could have earned by selling the books is $2640. The least number of books he sold can be calculated by dividing the total money by the cost of each book, $2640/$44, which equals 60. So he sold at least 60 books.

#SPJ12

Answer:

  -4x^3 +12x^2 for 0 < x < 3

Step-by-step explanation:

The power rule is appropriate:

  (d/dx)x^n = n·x^(n-1)

This is applied to each of the terms.

  F'(x) = -(4·x^3) +4(3x^2) +0

  F'(x) = -4x^3 +12x^2 . . . . for 0 < x < 3

__

The derivative is not defined at the endpoints of the interval, so F'(x) is only defined on (0, 3), not [0, 3].

While the exact time Kasey's school starts isn't provided, it can be inferred that the common school start time ranges from 8:00 a.m. to 8:30 a.m., based on the information given.

The question involves reading a clock to determine what time Kasey's school starts. While the exact time is not provided in the given information, we can infer from various texts that a traditional school start time is typically around 8:00 a.m. In some contexts, like in the case of Jennifer Fuller, a teacher reflects on starting work at 7:45 a.m. which might hint at school starting shortly afterward, likely 8:15 a.m. However, considering the broader perspective given by multiple sources and the push for schools to start no earlier than 8:30 a.m. for teenagers' health, we can surmise that Kasey's school likely starts around 8:00 a.m. to 8:30 a.m., which is a common start time mentioned in the materials provided.

Answer:

Step-by-step explanation:

Hey just wanted to tell you guys this is the legit answer the other one posted is a fraud.

Answer: (x+5)^2 + (y-3)^2=16

Answer:

Step-by-step explanation:

The answer is 44

Answer:

88 units^2

Step-by-step explanation:

split it into three shapes, a rectangle and two triangles. the find the area of these three different parts. add the areas you got, and you will get the total area of the trapezoid.

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{x+4}{2}~~,~~\cfrac{y+10}{2} \right)~~ = ~~\stackrel{midpoint}{(2~~,~~5)}\implies \begin{cases} \cfrac{x+4}{2}=2\\[1em] x+4=4\\ \boxed{x=0}\\[-0.5em] \hrulefill\\ \cfrac{y+10}{2}=10\\[1em] y+10=20\\ \boxed{y=10} \end{cases}[/tex]

Answer:

30

Step-by-step explanation:

Answer:

-2x+16

Step-by-step explanation:

So, we would first distribute.

2x·6=12x

2x·-7=-14x

12x-14x+(8·2)

Simplify:

12x-14x+16

12x-14x=-2x

-2x+16

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

( − 4 , 3 )

Equation Form:

x  =  −  4 ,  y  =  3

Step-by-step explanation:

Answer:

x = —4, y = 3

Step-by-step explanation:

-3x + 2y = 18 (1)

-9x - 5y =21 (2)

To solve by eliminating, the coefficients of either x or y must be the same in both equation.

Now let us make the coefficient of x in both equation to be the same. To do this, multiply equation (1) by the coefficient of x in equation (2) ie —9, and multiply equation (2) by the coefficient of x in equation (1) ie —3 this is illustrated below :

—9 ( —3x + 2y = 18)

27x — 18y = — 162 (3)

—3 ( —9x — 5y = 21)

27x + 15y = —63 (4)

Now, subtract equation 4 from equation 3

27x — 18y = — 162

— (27x + 15y = —63)

—33y = —99

Divide both side by —33

y = —99/—33

y = 3

Now we substitute the value of y into any of the equation to obtain x. In this case, let use equation 4

27x + 15y = —63

27x + 15(3) = —63

27x + 45 = —63

Collect like terms

27x = —63 —45

27x = —108

Divide both side by 27

x = —108/27

x = —4

Therefore, x = —4, y = 3