Jamal buys 33 bolts that cost $0.38 each,hich equation represents the best estimate for the total cost of all of the bolts

The point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0.

To graph the equation 2x + 3y = 6, we can rewrite it in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.

Starting with the given equation, we isolate y to one side:

3y = -2x + 6

y = (-2/3)x + 2

Now, we have the equation in slope-intercept form, y = (-2/3)x + 2. The slope is -2/3, and the y-intercept is (0, 2).

To find the point where the graph intersects the x-axis, we need to determine the coordinates where y is equal to zero. This occurs when the line crosses the x-axis.

Setting y = 0 in the equation, we have:

0 = (-2/3)x + 2

(-2/3)x = -2

x = (-2)(-3/2) = 3

Therefore, the point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0, indicating the point of intersection with the x-axis on the graph.

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The firm's federal income tax is $57,168.

To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.

In this case, the firm's total income consists of income from operations, interest income, and dividend income.

Total income:

Income from operations = $231,000

Interest income = $23,100

Dividend income = $29,700

Total income = $231,000 + $23,100 + $29,700 = $283,800

Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:

Total expenses = Interest paid to bondholders = $11,000

Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800

Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:

Federal income tax = Taxable income * Federal tax rate

Federal income tax = $272,800 * 0.21 = $57,168

Therefore, the firm's federal income tax is $57,168.

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Answer:

Value of p is 11 and value of q is -11 .

Step-by-step explanation:

x^2 - 121

= x^2 - 11^2

= ( x+11 ) ( x-11 )

Answer: 39

39 is the only answer option greater than 17

The Future value of an annuity due of $200 each quarter for 2 1 2 years at 13%, compounded quarterly is $10263.734 ..

The future value of an annuity is the value of a group of regular payments at some point in the future. It assumes a particular rate of return, or discount rate. The higher the discount rate, the greater the annuity's future value.

P = PMT× ((1+r)ⁿ −1)/r

where:

P---> Future value of an annuity stream

PMT---->Dollar amount of each annuity payment

r -->Interest rate (also known as discount rate)

n--->Number of periods in which payments will be

We have given that

Present value for an Annuity = $200

compounded rate , r = 13%

but compounded quarterly, then, r = 13%/4

= 0.13/4 = 0.325

Number of years , n = 2 + 1/2 = 5/2

then change into quarterly, n = 5/2 × 4 = 10

Future value formula ,

F.V = PMT ( (1+i)ⁿ - 1)/r

=> Future value = 200((1+0.325)^10/0.325)

=> F.V = 10263.734

Hence, the future value of an annuity is $10263.734..

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Solution:

It should be noted:

We can tell that:

This clearly tells us that the inequality is x > -1

In conclusion:

Option C is correct.

Answer:

k = 5s + 7

Step-by-step explanation:

We will say that Kim = K and that Sylvia = S.

\(k=5s + 7\)

Answer:

7+5s

:)

Step-by-step explanation:

The surface area of the pyramid is 113 cm².

A rectangular pyramid is a type of pyramid where the base is a rectangle and the triangular faces meet at a single point called the apex or vertex. It has five faces, including a rectangular base and four triangular faces, and it is a polyhedron with five vertices and eight edges.

The rectangular pyramid has a base of dimensions 7 cm by 5 cm, and the two large triangular faces have a height of 7.6 cm, while the two small triangular faces have a height of 8 cm.

To find the surface area of the pyramid, we need to find the area of each face and then add them up.

Area of the base:

The base of the pyramid is a rectangle with dimensions 7 cm by 5 cm, so its area is:

Area of base = length × width = 7 cm × 5 cm = 35 cm²

Area of the four triangular faces:

Each of the four triangular faces has a base of 5 cm (the width of the rectangle) and a height of either 7.6 cm or 8 cm. Using the formula for the area of a triangle, we can find the area of each face:

Area of each large triangular face = 1/2 × base × height = 1/2 × 5 cm × 7.6 cm = 19 cm²

Area of each small triangular face = 1/2 × base × height = 1/2 × 5 cm × 8 cm = 20 cm²

There are two large triangular faces and two small triangular faces, so the total area of the four triangular faces is:

Total area of four triangular faces = 2 × area of large triangular face + 2 × area of small triangular face

= 2 × 19 cm² + 2 × 20 cm²

= 78 cm²

Total surface area:

Finally, we can find the total surface area of the pyramid by adding the area of the base to the total area of the four triangular faces:

Total surface area = area of base + total area of four triangular faces

= 35 cm² + 78 cm²

= 113 cm²

Therefore, the surface area of the pyramid is 113 cm²

.

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Answer:

For 100 draws, I would expect green or black to be drawn 35 times.

Step-by-step explanation:

5 + 6 + 3 + 4 + 2 = 20 marbles

I would expect green or black to be drawn 7/20 of the time.

addition process of removing the one marble and adding 100 to the amount of green and black marble

Answer:

Step-by-step explanation:

Product means multiply.

-300

Answer:

19x - z = y

19x = y + z

x = y/19 + z/19 <---- ANSWER

Hope you have a good day, and stay safe!

Answer:

See explanation

Step-by-step explanation:

It appears that the second graph is better since it seems to be rather consistent. The graph of the first one seems out of place. Therefore it seems to be confusing and could be misleading.

The functiοn f(x) = (1/3)(4x) evaluated at x = 4 is f(4) = 16/3.

The οriginal cοnceptiοn οf functiοns was the relatiοnship between varying quantities and οther variables. An illustratiοn οf this is hοw time affects a planet's pοsitiοn.

The idea was develοped histοrically with infinitesimal calculus at the end οf the 17th century, and until the 19th century, the functiοns that were taken intο cοnsideratiοn were differentiable (that is, they had a high degree οf regularity). At the clοse οf the 19th century, set theοry was used tο fοrmalise the idea οf a functiοn, greatly expanding its range οf pοssible applicatiοns.

Tο find the value οf f(4), we need tο substitute x = 4 in the given functiοn f(x):

f(x) = (1/3)(4x)

f(4) = (1/3)(4 * 4) (substitute x = 4)

f(4) = (1/3)(16)

f(4) = 16/3

Therefοre, the functiοn f(x) = (1/3)(4x) evaluated at x = 4 is f(4) = 16/3.

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Answer:

Step-by-step explanation:

\(\frac{k^8+8k^2+10k+21}{k+7}\) is already simplified.

Answer:

15-18

Step-by-step explanation:

The IQR is the middle 50% of a set of numbers

There are 8 numbers, so its the middle 4

The middle 4 consists of 15,15,16,18

The range is 15-18

Step-by-step explanation:

First simplify the parentheses. \(4x-2x^2+x-3=-2x^2+5x-3\), and \(x-1\) can't be simplified, so the equation has now been simplified to \(\frac{-2x^2+5x-3}{x-1}\). The equation can be divided to equal \(-2x+3\), so I'm guessing either there is no remainder or the 3 is the remainder.

Hope this helps!

Answer:

Step-by-step explanation:

We know the the total of angles for a triangle is 180 degrees.

So in this case we'd want to set up adding all of our angles and setting them equal to 180

17 + 126 + b = 180

then solve for b

143 + b = 180

b = 37 degrees

So the answer would be 37 degrees for angle b

1 1/2 = 3/2

3/2 ÷ 5 =

3/2 * 1/5 = 3/10

Answer:

The slope of 5 means that for each product sold, the profit increases by 5, and the intercept of -2500 means that if no products are sold, the company loses 2500.

Step-by-step explanation:

Linear function:

A linear function has the following format:

\(y = mx + b\)

In which m is the slope, that is, by how much y changes for each unit of x, and b is the y-intercept, which is the values of y when x = 0.

In this question:

\(p(q) = 5q - 2500\)

p is the profit in dollars and q is the quantity of its product sold.

a) Explain what the slope and y-intercept mean in the context of the problem.

The slope of 5 means that for each product sold, the profit increases by 5, and the intercept of -2500 means that if no products are sold, the company loses 2500.

1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

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Answer:

938 feet

Step-by-step explanation:

b/c every angle of a rectangle is 90° u can u Pythagorean theroem to solve the question

a*a+ b*b=c*c

900*900+264*264=c*c

c=√879,696

c=938feet

Answer:

938 feet

Step-by-step explanation:

Well to solve this we need to use the Pythagorean Theorem,

\(a^2 + b^2 = c^2\).

So we have a and b which are 900 and 264,

and we need to find c or the walking distance.

So we plug in 900 and 264 for a and b.

\((900)^2 + (264)^2 = c^2\)

So, 900*900 = 810,000

264 * 264 = 69696

810000 + 69696 = 879696

So now we have,

879696 = c^2

To get the c by itself we do,

\(\sqrt{879696} = \sqrt{c}\)

= c = 937.921105424

c = 938 rounded to the nearest foot

Thus,

the solution is 938.

Hope this helps :)

Answer:

67

6+7=13

76-67=9

Done!

We are to solve the equations

The equation can be rewritten as

Using substitution method

From equation 1

Substitute 1 - 2x for y into equation 2

This gives

Therefore, x = 2

Substitute 2 for x into equation 3

This gives

Therefore the solution to the equations is

x = 2, y = -3

We have to reflect each point of the triangles over the x-axis.

We can start by finding the algebraic expression for the rule for this type of reflection.

For any given point (x,y), when reflected across the x-axis, it will keep its x-coordinate but its y-coordinate will change sign.

Then, we can express this as a rule like:

Then, we can apply this rule for each of the points as:

Answer:

J' = (-7, 7), K' = (-5, 2), L' = (-2, 3).

The algebraic expression is (x, y) --> (x, −y).

Answer:

28.26

hop thats better the the first anser

Answer:

Step-by-step explanation:

Answer:

Forty-two (42) of the trees were too small.

Step-by-step explanation:

Find 7/8 of 48.

\(\frac{7}{8}\) = 0.875

Multiply the quotient (0.875) by 48 to find \(\frac{7}{8}\) of 48.

0.875 × 48 = 42

The given expression is

The greatest common factor is

Now, we factor out the greatest common factor and we get the expression inside the parenthesis by division

Hence, the final expression is C.

Four students, Kaylee, Xavier, Ruby, and Brandon, line up one behind the other. So, there are 24 different ways they can stand in line.

Factorial of a positive integer is the result of the repeated multiplication of all the integers from 1 till that considered integer.

Thus, if we want to take the factorial of 'n',(n being a positive integer), then:

\(n! = 1 \times 2 \times \cdots \times (n-1) \times n\)

Four students, Kaylee, Xavier, Ruby, and Brandon, line up one behind the other.

The different ways they can stand in line = 4!

\(= 4 \times 3 \times 2 \times 1\\\\= 12 \times 2\\\\24\)

So, there are 24 different ways they can stand in line.

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