Which equation is equivalent to 8x + 3 ( x +5) -5 (x-4) = 2

The domain of the given function shown on the graph is -∞<x<∞.

We have given the function,

We have to determine the domain of the given graph.

The domain of a function is the complete set of possible values of the independent variable.

From the graph, the domain of the graph is option B.

We can see that the graph is From -infinity to +infinity.

and it does not touch the point (0,0).

Therefore the graph shows the point at the domain.

Therefore the domain of the given function is -∞<x<∞.

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1.

[tex]

2(x+5)=3x+1 \\

2x+10=3x+1 \\

-x=-9 \\

x=9

[/tex]

2.

[tex]

3y-4=6-2y \\

5y=10 \\

y=2

[/tex]

3.

[tex]

3(n+2)=9(6-n) \\

3n+6=54-9n \\

12n=48 \\

n=\frac{48}{12}=4

[/tex]

Hope this helps.

By applying basic algebraic techniques, the solutions to the given equations: 2(x+5)=3x+1, 3y-4=6-2y, and 3(n+2)=9(6-n) are x = 9, y = 2, and n = 4 respectively.

We will solve these equations one-by-one using basic algebraic techniques:

2(x+5) = 3x+1. First, distribute the 2 on the left side of the equation to get 2x + 10 = 3x + 1. Now, we'll move 2x to the right side to get 10 = x + 1. Subtracting 1 from both sides gives us the solution: x = 9.

3y - 4 = 6 - 2y. Let's move all the y terms to one side and constants to the other: 3y + 2y = 6 + 4. Sum the sides to get 5y = 10. Solving for y gives y = 2.

3(n + 2) = 9(6 - n). This requires distribution on both sides which results in 3n + 6 = 54 - 9n. Adding 9n to both sides gives 12n + 6 = 54. Subtracting 6 from both sides gives 12n = 48, and finally, dividing by 12, gives "n = 4".

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Mrs. clark spends $89.85 on science kits that cost $5 each plus $4.85 tax on the total bill. How many kits did she buy?

Mrs. Clark bought 17 science kits

Given that Mrs. clark spends $89.85 on science kits that cost $5 each plus $4.85 tax on the total bill

To find: number of kits she bought

Cost of one kit = $ 5

Tax amount = $ 4.85

Total amount spend including tax = $ 89.85

Lets first get rid of the tax in the total amount

Amount without tax = Total amount spend including tax - Tax amount

Thus amount without tax = $ 89.85 - $ 4.85 = $ 85

Since we know that each kit costs $5,  we would divide 85 by 5 to see find how many kits she bought

[tex]\begin{array}{l}{\text { number of kits bought }=\frac{\text { amount spent }}{\text { cost of one kit }}} \\\\ {\text { number of kits bought }=\frac{85}{5}=17}\end{array}[/tex]

Thus Mrs. clark has bought 17 science kits

Answer:

Ms. Clark bought 17 science kits

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

1. Growth came from personal and government spends and other investments.

2. Economy is slowing down and reflects weaker outlook in 2020

1.  Real Gross Domestic Product showed increment at the rate of 1.9% annually by the end of 3rd quarter of 2019. This estimate was released by Bureau of economic analysis. They also had estimated that Real GDP was increased by approximately 2.0% when 2nd quarter of 2019 ended.

Factors that contributed the increase in real GDP by the end of 3rd quarter included expenditures and consumption of the common people for personal use, expenditure of federal government along with local and state governments, investments in fixed residential assets, and also exports.

2. International Monetary Fund estimated and projected a slower growth rate for United States in 2019 and 2020 and revised the growth rate as downward of 0.3% for both 2019 and 2020.  This shows us that GDP will now grow at the rate of 7% and 7.2% , which reflects a very weak outlook for domestic demand, weaker than expected. Global trade tension poses a threat to the economic outlook.

The quantity "q" sold by Catera is 13

Solution:

Given that Catera has found that as she increases her price, p, the quantity she sells q, decreases

The following equation relates q, the quantity she sells, to p, the price she charges:

Where, "p" is the price and "q" is the quantity she sells

Given that Catera price is $ 232

To find: quantity she sells

Substitute p = 232 in given equation

232 = 284 - 4q

4q = 284 - 232

4q = 52

[tex]q = \frac{52}{4} = 13[/tex]

q = 13

Therefore the quantity she sells is 13

Answer:

12 cm

Step-by-step explanation:

I drew a picture of a rectangle with a diagonal measurement of 13 units and what appear to be the shortest side to be 5 units. (This picture was not drawn to scale.) We were has to find the longest side which I said was b. Notice the diagonal cuts the rectangle into right triangles.

We will need to use Pythagorean Theorem to find the length of the longer side of the rectangle.

[tex]5^2+b^2=13^2[/tex]

[tex]25+b^2=169[/tex]

Subtract 25 on both sides:

[tex]b^2=144[/tex]

Take square root of both sides:

[tex]b=\sqrt{144}[/tex] (I did not worry about the negative answer to this because we are dealing with lengths.)

[tex]b=12[/tex]

Answ  For Lateral Area : When all the side faces are the same: Multiply the perimeter by the "slant length" and divide by 2. This is because the side faces are always triangles and the triangle formula is "base times height divided by 2"er:

Step-by-step explanation:

Answer:

so the solution is in the picture please mark me brainliest.

the Answer is 5

Answer:

-x+3x=4+6 because when we collected liketerms

2x=10 now divided both side by 2

2x/2=10/2

x=5 so the value of x is 5

Answer:

4

Step-by-step explanation:

10-8=2

6-4=2

Final answer:

Josh should use 4 apples to have the same number remaining as Bill. After Bill uses 8 out of his 10 apples, he has 2 left. Josh, starting with 6 apples, needs to use 4 to also have 2 left.

Explanation:

The question at hand involves simple subtraction to find the number of apples Josh should use to have the same number as Bill after Bill uses some for making muffins.

Bill starts with 10 apples and uses 8 of them, which leaves him with 2 apples.

To determine how many apples Josh should use, we need to perform the following calculation for Josh, who starts with 6 apples: 6 - x = 2, where 'x' represents the number of apples Josh uses.

Solving this, we get x = 6 - 2, hence, x = 4 apples.

Therefore, Josh should use 4 apples to have the same number remaining as Bill.

Cost of 1 adult ticket is $ 7 and cost of 1 student ticket is $ 3

Solution:

Let "a" be the cost of 1 adult ticket

Let "s" be the cost of 1 student ticket

Given that,

4 adult and 10 student tickets cost 58$ overall on the first day

So we can frame a equation as:

4 adult ticket x cost of 1 adult ticket + 10 student ticket x cost of 1 student ticket = $ 58

[tex]4 \times a + 10 \times s = 58[/tex]

4a + 10s = 58 ------ eqn 1

On the second 5 adult and 1 student cost 38$ overall

So we can frame a equation as:

5 adult ticket x cost of 1 adult ticket + 1 student ticket x cost of 1 student ticket = $ 38

[tex]5 \times a + 1 \times s = 38[/tex]

5a + 1s = 38 ------- eqn 2

Let us solve eqn 1 and eqn 2 to find values of "a" and "s"

Multiply eqn 2 by 10

50a + 10s = 380 ---- eqn 3

Subtract eqn 1 from eqn 3

50a + 10s = 380

4a + 10s = 58

( - ) --------------------

46a = 322

Substitute a = 7 in eqn 1

4a + 10s = 58

4(7) + 10s = 58

28 + 10s = 58

10s = 58 - 28

10s = 30

Thus cost of 1 adult ticket is $ 7 and cost of 1 student ticket is $ 3

Answer:

Expected value would be $ 0.896

Step-by-step explanation:

Given,

The price of the lottery ticket = $44800000,

Also, the probability of winning the grand prize = .000000020,

Thus, the expected value of the lottery ticket = value of the lottery ticket × probability of getting the lottery ticket

= 44800000 × .000000020

= $0.896

Note : value of lottery ticket = prize amount - cost of each ticket,

Here the cost price of a ticket is not given,

That's why we did not consider it.

Final answer:

The expected value of a lottery ticket with a grand prize of $44.8 million and a winning probability of 0.00000002 is $0.896, assuming the ticket has no cost.

Explanation:

To calculate the expected value of a lottery ticket, we need to consider both the payout and the probability of each outcome. Given that the grand prize is $44.8 million with a probability of winning of 0.00000002, we can compute the expected value.

To find the expected value (EV) of the lottery ticket, we use the following formula:

EV = (Payout × Probability of winning) - (Cost of ticket × Probability of losing)

Plugging in the values, we get:

EV = ($44,800,000 × 0.00000002) - ($0 × (1 - 0.00000002))

EV = $0.896.

Since the cost of the ticket is not given, we assume it's $0 for the purpose of this illustration. The expected value of the lottery ticket when rounded to three decimal places is $0.896.

Final answer:

Two inequalities that Tim can use to compare a positive number, a, and a negative number, b, are |a| > |b| and a > 0 and b < 0.

Explanation:

To compare two numbers, a and b, where a is positive and b is negative, we can use two inequalities:

The magnitude of a must be greater than the magnitude of b. This can be represented as |a| > |b|.

The value of a must be greater than 0 and the value of b must be less than 0. This can be represented as a > 0 and b < 0.

These inequalities help Tim compare the positive and negative numbers a and b based on their magnitudes and values.

Answer:

The stack is [tex]\frac{224}{3}[/tex]inches high.

Step-by-step explanation:

Given date:-

A stack of 7 crates means

1 stack=7 crates

Total number of crate=7

Height of 1 crate = [tex]10\frac{2}{3}\ inches[/tex]

Height of 1 crate =[tex]\frac{30+2}{3}[/tex] inches

Height of 1 crate =[tex]\frac{32}{3}[/tex] inches

To find height of stack=?

Now,

Height of a stack = Height of 1 crate [tex]\times[/tex] Total number of crates

Height of a stack =[tex]\frac{32}{3}\times7[/tex]

Height of a stack =[tex]\frac{32\times7}{3}[/tex]

Height of stack = [tex]\frac{224}{3}[/tex] inches

Therefore the stack is [tex]\frac{224}{3}[/tex] inches high.

Answer: The equation has No Solution.

Step-by-step explanation:

Given the following equation:

[tex]-3a+3a+6=7[/tex]

You can simplify it by adding the like terms.

It is important to remember the, by definition, the like terms have the same variable and the same exponent.

In this case, you can identify that the term [tex]-3a[/tex] and the term [tex]3a[/tex] are "like terms", because their variables and their exponents are the same.

So, if you add them, you get:

[tex]-3a+3a=0[/tex]

Then:

[tex]0+6=7\\\\6=7\ (FALSE)[/tex]

Therefore, since there is no value that satisfies the equation, you can conclude that the equation has No Solution.

Answer: 15

5,10,15,20

3/4 is 15

Answer:

(0, 0), (0, 15), (20, 25), (40, 0)

Step-by-step explanation:

The diagram shows shaded region in the form of quadrilateral bounded with two given lines and x- axis and y-axis. Four vertices of this quadrilateral are point of intersection of those lines or lines with coordinate axes.

The first vertex of this quadrilateral lies at the origin (point of intersection of two axes), then its coordinates are (0,0).

The second vertex lies on the x-axis and its coordinates are (40,0) (placed at 40 on the x-axis)

The third vertex lies on the y-axis and its coordinates are (0,15) (placed half way between 10 and 20 on the y-axis).

The fourth vertex is the intersection of two lines. Its coordinates are (20,25) (draw vwrtical line from this vertex t x-axis, it will intersect x-axis at 20, draw horizontal line to y-axis, it will intersect the y-axis at 25).

So, correct option is A: (0, 0), (0, 15), (20, 25), (40, 0)

Answer:

(0, 0), (0, 15), (20, 25), (40, 0)

Step-by-step explanation:

The feasible region is the shaded area in the graph. This region has four vertices which are:

(0, 0) at the bottom left

(0, 15) at the top left

(20, 25) at the top center

(40, 0) at the bottom right

Note: the points have the notation (x, y)

Answer:

58 dollars

Step-by-step explanation:

(100% - 65% = 35% or 0.35)  

x(0.35) = 20.30

divide both sides by 0.35

x = 58  

The swimsuit was originally 58 dollars.

Answer:

$58

Step-by-step explanation:

Answer:

Yes, A KLP can be reflected across the line containing KP and then translated so that Pis mapped to M.

Step-by-step explanation:

The figure shows two congruent by HA theorem (they have congruent hypotenuses and a pair of congruent angles adjacent to the hypotenuses) triangles KLP and QNM.

A rigid transformation is a transformation which preserves lengths. Reflection, rotation and translation are rigit transformations.

If you reflect triangle KLP across the leg KP and translate it up so that point P coincides with point M , then the image of triangle KLP after these transformations will be triangle QNM.

Triangle KLP can be reflected across the line containing KP and then translated so that P is mapped to M

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point either up, down, left or right in the coordinate plane.

Triangle KLP can be reflected across the line containing KP and then translated so that P is mapped to M

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The ratio of the time levon spent on the treadmill to the time he spent lifting is 5/7 or 5:7

Step-by-step explanation:

Given

Time spent on treadmill = [tex]T_t = 25\ min[/tex]

Time spent on weight lifting = [tex]T_w = 35\ min[/tex]

We have to find the ratio of the time Levon spent on the treadmill to the time he spent lifting

The ratio will be denoted by r

[tex]r = \frac{T_t}{T_w}\\=\frac{25}{35}\\[/tex]

Simplifying the fractions

[tex]=\frac{5*5}{7*5}\\=\frac{5}{7}[/tex]

The ratio of the time levon spent on the treadmill to the time he spent lifting is 5/7 or 5:7

Keywords: Ratio, fraction

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Answer:

Step-by-step explanation:

The bar shows the following information that can we fetch to solve the problem.

Predicting how many are red marbles:

If there are 20 marbles in the bag, it logically means that each marble, averagely, should likely be drawn 5% of the time.

As the bar shows that Red marbles drawn nearly 50% of the time, it means that we will have to divide 'Red marbles drawn nearly 50% of the time" by the " each marble from 20 marbles be drawn 5% of the time".

So,

Total number of red marbles = 50% / 5% = 10 red marbles.

Predicting how many are blue marbles:

If there are 20 marbles in the bag, it logically means that each marble, averagely, should likely be drawn 5% of the time.

As the bar shows that blue marbles drawn nearly 25% of the time, it means that we will have to divide 'blue marbles drawn nearly 25% of the time" by the " each marble from 20 marbles be drawn 5% of the time".

So,

Total number of blue marbles = 25% / 5% = 5 blue marbles.

Predicting how many are white marbles:

If there are 20 marbles in the bag, it logically means that each marble, averagely, should likely be drawn 5% of the time.

As the bar shows that white marbles drawn nearly 25% of the time, it means that we will have to divide 'white marbles drawn nearly 25% of the time" by the " each marble from 20 marbles be drawn 5% of the time".

So,

Total number of white marbles = 25% / 5% = 5 white marbles.

Keywords: bar chart, prediction

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Answer:

I do not agree. When the expressions have like terms collected and are factored, they are the same.

Step-by-step explanation:

Make 6x-2x+4 the same as 4(x+1):

6x - 2x + 4      Collect the like terms 6x and -2x

= 4x + 4       Factor. Divide each term by 4 and take it out of a bracket

= 4(x + 1)

4(x+1) = 4(x+1)

They are equivalent expressions, just written differently.

Answer:

No Jamie is incorrect

Step-by-step explanation:

No, because in the expression 4(x+1)  you will first need to multiply 4 by x, your result is 4x, and then you multiply 4 by 1, you get 4, so the answer will be 4x+4.

Also in the expression 6x-2x+4  ,you will first need to subtract 2x from  6x, your result is 4x ,and then you add 4 , so the answer will be 4x + 4

Our final answer is:

6x-2x+4 = 4x + 4 and 4(x+1) = 4x + 4

Answer:

x greater than or equal to -14

Step-by-step explanation

Answer:90*2π，90/60*18/2

Step-by-step explanation:

Answer:

The y-intercept to the given line equation y=3x+15 is (0,15).

Step-by-step explanation:

Given line equation is y=3x+15

To find the y-intercept from the given line equation y=3x+15:

y-intercept when x=0

That is substitute x=0 in the given line equation

 y=3x+15

y=3(0)+15

y=0+15

y=15

Therefore y=5

The point (0,15) on the graph where the line y is intersected is y-intercept.

In other words y-intercept is the point (0,15) where the given line equation y=3x+15 crosses the y-axis.

Therefore the y-intercept to the given line equation y=3x+15 is (0,15).

Final answer:

The y-intercept of y=3x+15 is 15 and it represents the value of y when x is zero.

Explanation:

The y-intercept, b, of the equation y=3x+15 is 15. It represents the value of y when x is equal to zero. In other words, when x is zero, y is equal to 15.

Interpretation: In the context of the equation y=3x+15, the y-intercept of 15 means that when there is no input or x-value, the output or y-value is 15. This suggests that when the x-value is zero, the value of y is 15. This can be visualized on a graph as the point where the line intersects the y-axis at the coordinate (0, 15).

Answer:

Step-by-step explanation:

Cylinder:

d= 6cm;  r =6/2 = 3cm

h =7.5cm

Volume of ice cream in cylinder = πr²h

                                            = π * 3 * 3 * 7.5 = 67.5 π cubic cm

Cone:

h =  6 cm;

d = 3cm ; r = 3/2 = 1.5cm

Volume =(1/3)πr²h

             = (1/3) * π * 1.5 * 1.5 * 6

= π * 1.5*1.5 * 2 = 4.5π cu. cm

Hemisphere on top:

r = 1.5cm

Volume = (2/3)πr³

  =(2/3)* π * 1.5 *1.5 * 1.5

= 2 *π * 0.5*1.5*1.5

= 2.25π cu.cm

Volume of ice cream in each cone =  4.5 π + 2.25π = 6.75π cubic cm

No of cones = volume of cylinder/ Volume of ice cream in each cone

       =π *67.5 / 6.75 * π

 = 67.5 * 100 / 6.75 * 100

= 6750 / 675

= 10

number of cones which can be filled with ice cream = 10 cones

Answer:

372.6

Step-by-step explanation:

Answer:

what about it?

Step-by-step explanation: