2. Tickets to a play cost $8 each. Write an
expression that gives the ticket cost in dollars
for a group of g girls and b boys.

Answer:

infinite solutions

Step-by-step explanation:

−2(2x+3)=−4(x+1)−2 multiply -2 and -4 with inside the parenthesis

-4x -6 = -4x -4 -2 now add like terms

-4x -6 = -4x -6 ➡ -4x +4x = -6+6

that makes equation 0 = 0 this is called infinite solutions which means whatever number you use instead of x there will always be a solution.

The amount in a savings account increased from ​$150 to ​$156. The percent of​ increase is equal to 4%.

The percentage simply means out of 100. It means proportionating a value out of another value to be out of 100. Percentage facilitates comparison since the base of all values becomes equal.

To find the increase in value, we first need to calculate the increase in numbers i.e., new value minus the original value. Divide it by the original value and multiply by 100, and you get the required result.

Original amount in savings account = $150

increased amount in savings account = $156

Increase in amount  = $156 - $150 = $6

The increase in percent = [tex]\frac{increase}{original \ amount }*100[/tex] = [tex]\frac{6}{150} * 100 = 4%[/tex]%

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The correct answer is "no solution."

Let's first rewrite the second equation in the system in slope-intercept form (y = mx + b) to make it easier to work with:

[tex]\[ -5y = 10x + 20 \][/tex]

Divide both sides by -5:

[tex]\[ y = -2x - 4 \][/tex]

Now we have the system of equations:

[tex]\[ y = -2x + 5 \][/tex]

[tex]\[ y = -2x - 4 \][/tex]

To find the solution to the system, we can set the two equations equal to each other since they both equal y:

[tex]\[ -2x + 5 = -2x - 4 \][/tex]

Now, we can solve for x:

[tex]\[ 5 = -4 \][/tex]

This equation is not true, which means there is no value of x that satisfies both equations simultaneously. Therefore, the system has no solution.

Answer:

x = 2, y = -1

Step-by-step explanation:

2x + 3y = 1.....(1)

5x + 2y = 8.....(2)

multiply equation (1) by 5 and equation (2) by 2

10x + 15y = 5 .......(3)

10x + 4y = 16......(4)

solving by elimination method

we subtract equation (4) from (3)

hence ...

11y = -11

dividing both sides by 11

y = -1

substituting y = -1 in equation (1) to solve for the value of x

2x + 3(-1) = 1

2x - 3 = 1

rearranging,

2x = 3 + 1

2x = 4

dividing both sides by 2

x = 2

Answer:

He needs to pay back $64

Step-by-step explanation:

He has already paid $4802, and according to the chart that goes with this question, he owed $4866.

What he owes: $4866

subtract what he has paid: $4802

4866-4802=64

So he needs to pay the IRS $64

You can use subtraction here to get to the correct option.

The correct option for the given condition is

Option A: He will pay $64

Since the chart that goes along with the given question says that  Yung had to give $4866 for the taxes, and since it is given that Yung already paid $4802, we see that he didn't paid full tax yet since 4802 < 4866.

So he has to pay the remaining amount of the tax.

To get the remaining amount he has to pay, we will use subtraction.

Thus:

Remaining amount = Total amount to pay - amount already paid

Remaining amount = $4866 - $4802 = $64

Thus,

The correct option for the given condition is

Option A: He will pay $64

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To find the number of robberies this year, we need to calculate 14% of last year's total and subtract it from that total. This results in an estimated 286 robberies this year.

The question asks for the number of robberies this year given a 14% decrease from the prior year's total of 332 robberies. To calculate this, you would multiply last year's number of robberies by 14% (or 0.14) to find the decrease in robberies. Then, subtract this decrease from the original number of robberies.

First, calculate the decrease: 332 * 0.14 = 46.48. This rounds down to 46 robberies, as it would be unlikely to have a fraction of a robbery.

Next, subtract this from the original amount: 332 - 46 = 286. There were approximately 286 robberies this year, rounded to the nearest whole number, assuming a 14% decrease from 332.

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Answer:

0.42

Step-by-step explanation:

use the attached as reference

recall that for a right (90°) triangle, with any acute angle θ,

cos θ = length of adjacent side / length of hypotenuse

in our case, for angle I, the adjacent side is HI = 36 units and the hypotenuse is IJ = 85 units

by the above formula,

cos I = length of adjacent side / length of hypotenuse

= 36 / 85

= 0.42353

= 0.42 (rounded to nearest hundredth)

Answer:

Step-by-step explanation:

Answer:

-18.4z+6

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

multiply both numbers by same number

Answer:

2

Step-by-step explanation:

3x-4 =-1/2x+3

3x+1/2x=3+4

6x+x/2=7

6x+x=14

7x=14

x=14/2

x= 2

Answer:

X = 2

Step-by-step explanation:

- Add 1/2 to both sides

3x - 4 + 1/2x = -1/2x + 3 + 1/2x

7/2x - 4 = 3

- Add 4 to both sides

7/2x - 4 + 4 = 3 + 4

7/2x = 7

- Multiply both sides by 2/7

(2/7) X (7/2x) = (2/7) X (7)

x = 2

Answer: -9

Step-by-step explanation: it is a negative because it is minus 9$ from the price just like adding -9

Answer:

t - 9 = ?

Step-by-step explanation:

Answer:

Create a tree diagram

1. Click File > New > Templates > General, and then open Block Diagram.

2. From the Blocks and Blocks Raised stencils, drag block shapes onto the drawing 3.page to represent stages in a tree structure.

5 .To add text to a shape, select the shape, and then type.

6. Indicate relationships between the blocks by connecting the shapes:

Step-by-step explanation:

And kind of like this but you can do whatever get creative:) here’s the picture

A tree diagram is a form of graphical representation that visually displays possible outcomes of an experiment or event. It is particularly useful in solving complex probability problems. An example would be if you were to draw balls from an urn multiple times and wanted to visualize all the possible outcomes.

A tree diagram is a graphical representation used to determine the outcomes of an experiment. It consists of multiple branches, typically representing different possible outcomes or choices.

As an example, let's consider an urn with 11 balls: 3 red and 8 blue. If you were to draw two balls, one at a time, with replacement (putting the first ball back before the second draw), a tree diagram would show all possible outcomes. Your first set of branches would represent the color of the first ball drawn (red or blue) and from each of those branches, a second set would signify the color of the second ball drawn.

So branch one could show red for the first draw, and from that branch you would have two further branches, red and blue, showing the possibilities for the second draw. The same would be done for the first draw being blue. This tree diagram illustrates the different scenarios of this experiment.

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Step-by-step explanation:

parallelogram is a simple quadrilateral with 2 pairs of. parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Thanks..... hope it helped.

Answer:Briana needs 562likes to reach 2000

Step-by-step explanation:

The number of likes Briana has = 1438

The number of likes Briana wants to reach = 2000

The remaining of likes she needs= 2000-1438 = 562

Hence, Briana needs 562 more likes to reach 2000likes on her picture

Final answer:

Briana needs 562 more likes to reach 2,000 likes on her dog's picture, calculated by subtracting her current likes from the target amount.

Explanation:

Briana currently has 1,438 likes on a picture of her dog dressed as a superhero. To determine how many more likes Briana needs to reach 2,000 likes, we perform a simple subtraction operation:

2,000 (desired amount of likes) - 1,438 (current amount of likes) = 562 more likes needed.

Therefore, Briana needs 562 additional likes to reach her goal of 2,000 likes on the picture of her dog.

The equation has only one solution that is x = -15

Step-by-step explanation:

We have to convert the given statement in  form of equation to find the number

Let x be the number

then

According to given statement,

[tex]2x-7 = 3x+8\\-7 = 3x-2x+8\\-7 = x+8\\x = -7-8\\x = -15[/tex]

The equation has only one solution that is x = -15

Keywords: Linear equation, variables

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Final answer:

The equation 'twice a number minus seven equals eight greater than three times the number' simplifies to 2x - 7 = 3x + 8, which has one solution: x = -15.

Explanation:

The original question asks us to solve an algebraic equation where twice a number minus seven is equal to eight greater than three times that number.

To translate this into an algebraic expression, let the unknown number be x.

This gives us the equation 2x - 7 = 3x + 8.

To solve this equation, we can subtract 2x from both sides to get -7 = x + 8 and then subtract 8 from both sides to isolate x, resulting in x = -15.

To answer part B, this type of linear equation will only have one solution because it’s a linear equation with a non-zero coefficient in front of the variable x.

Answer:

-12

Step-by-step explanation:

4x=-48. use inverse operations here so divide -48 by 4

x=-12

Answer: 2.2.3.5 = 60 are the prime factors in ascending order

Answer:

the answer is 9

Step-by-step explanation:

why it 9 Add '2.7' to each side of the equation.

-2.7 + 2.7 + 0.3x = 9 + 2.7

Combine like terms: -2.7 + 2.7 = 0.0

0.0 + 0.3x = 9 + 2.7

0.3x = 9 + 2.7

Combine like terms: 9 + 2.7 = 11.7

0.3x = 11.7

Divide each side by '0.3'.

x = 39

Simplifying

x = 39

Answer:

20,602 feet is the difference in height between the top of Mt. McKinley and the bottom of the Death Valley.

Step-by-step explanation:

Given:

Mt. McKinley, which is the highest elevation in North America, is 20,320 feet above sea level.

Death Valley, which is the lowest elevation in North America, is 282 feet below sea level.

Now, to find the difference in height between the top of Mt. McKinley and the bottom of the death valley.

Height of Mt. McKinley above sea level = 20,320 feet.

Height of Death Valley below sea level = 282 feet.

Now, to get the difference in height between the top of Mt. McKinley and the bottom of the Death Valley by adding both the heights:

[tex]20320+282[/tex]

[tex]=20602\ feet.[/tex]

Therefore, 20,602 feet is the difference in height between the top of Mt. McKinley and the bottom of the Death Valley.

Answer:

20,602 feet.

Step-by-step explanation:

Answer: 12 I saw your comment lol

Answer:

The simplified expression is

[tex]\frac{4}{5}(\frac{1}{4}c-5)=\frac{c}{5}-4[/tex]

Step-by-step explanation:

Given expression is

[tex]\frac{4}{5}(\frac{1}{4}c-5)[/tex]

To simplify the given expression:

[tex]\frac{4}{5}(\frac{1}{4}c-5)[/tex]

[tex]\frac{4}{5}(\frac{1}{4}c-5)=(\frac{4}{5}\times \frac{1}{4}c)-(\frac{4}{5}\times 5)[/tex] ( here using the distributive property )

[tex]=(\frac{1}{5}c)-(4\times 1)[/tex] (simplify the factors )

[tex]=\frac{1}{5}c-4[/tex] or

[tex]=\frac{c}{5}-4[/tex]

Therefore the simplified expression is

[tex]\frac{4}{5}(\frac{1}{4}c-5)=\frac{c}{5}-4[/tex]

Answer:

Step-by-step explanation:

Increases weight  = 80 - 40 = 40 lbs

Percent increase = (40/40)*100 = 1*100 = 100%

Answer:

The percent change is 50%.

Step-by-step explanation

1) 80-40=40

2) 40 divided by 80 which equals 0.5

3) 0.5 multiplied by 100

4) 0.5 x 100=50

The formula for percent change is change divided by the original amount then multiply the answer from that problem by 100.

Answer:

Step-by-step explanation:

This Sequence is  Geometric Progression

a = 16

r = 8/16 = 1/2

nth term = ar^(n-1) = 16*(1/2)^(n-1)

The nth term of the geometric sequence 16, 8, 4, 2, 1 can be found using the formula an = 16 * (1/2)^(n-1), where n is the position of the term in the sequence.

The sequence given is 16, 8, 4, 2, 1, which is a geometric sequence where each term is half of the previous term. This means the common ratio r is 1/2. The nth term of a geometric sequence is given by the formula a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

To find the nth term for our sequence, we plug in the values: a_1 = 16 and r = 1/2. Thus, the formula for the nth term becomes an = 16 * (1/2)^(n-1).

Answer:

-28

Step-by-step explanation:

(-22)-14= -36. (-22)+14= -8. -36-(-8)= -28.

The coordinates of a point on the directed segment from (3,-2) to (8,0) that divides it into a ratio of 3:1 is (6.75, -0.5). The correct option is A.

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

Let the line be represented as AB, therefore, the coordinates of points A and B are (3,-2) and (8,0), respectively. The coordinate of the point m that divides the line AB in a ratio of 3:1 is,

x = [(x₂×m)+(x₁×n)]/(m+n)

x = [(8×3)+(3×1)]/(3+1)

  = (24+3)/4

  = 6.75

y = [(y₂×m)+(y₁×n)]/(m+n)

y = [(0×3)+(-2×1)]/(3+1)

  = (0-2)/4

  = -0.5

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Final answer:

The coordinates of the point that divides the directed segment from (3,-2) to (8,0) in the ratio of 3:1 are a) (6.75, -0.5), using the section formula.

Explanation:

When finding the coordinates of a point on a directed segment that divides it into a specific ratio, such as 3:1, the formula for the section formula in coordinate geometry is used. This formula allows us to calculate the coordinates of the point that divides the segment internally or externally in a given ratio (m:n) using the coordinates of the endpoints (x1,y1) and (x2,y2). The formula for the point (x, y) that divides the segment internally in the ratio m:n is:

x = (mx2 + nx1) / (m + n)

y = (my2 + ny1) / (m + n)

For the directed segment from (3, -2) to (8, 0) and a ratio of 3:1, we find the point by this method:

x = (3×8 + 1×3) / (3 + 1) = (24 + 3) / 4 = 27 / 4 = 6.75

y = (3×0 + 1×(-2)) / (3 + 1) = (0 - 2) / 4 = -2 / 4 = -0.5

Thus, the coordinates of the point that divides the segment in the ratio 3:1 are a) (6.75, -0.5).

The solution is x = 2 and y = -11

Solution:

Given system of equations are:

x + y = -9 --------- eqn 1

5x - 2y = 32 ------------- eqn 2

We have to solve the system of equations

We can solve the system by substitution method

From eqn 1,

x + y = -9

Isolate "y" to one side

y = -9 - x ---------- eqn 3

Substitute eqn 3 in eqn 2

5x -2(-9 - x) = 32

5x + 18 + 2x = 32

Combine the like terms

7x = 32 - 18

7x = 14

x = 2

Substitute x = 2 in eqn 3

y = - 9 - 2

y = -11

Thus the solution is x = 2 and y = -11

The equation that represents the relationship between Anne's age and Betty's age is a = 2b - 3. The equation indicates that Anne's age is 3 years less than twice Betty's age.

The relationship between Anne's age and Betty's age is expressed through the given information: 'Anne is 3 years younger than twice Betty's age'. This can be translated into an equation using 'a' to represent Anne's age and 'b' to represent Betty's age. Accordingly, the equation becomes a = 2b - 3.

The equation shows that to get Anne's age, you have to double the age of Betty and then subtract 3 years. For example, if Betty was 10 years old, Anne would be 2*10 - 3 = 17 years old.

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Answer:

D

Step-by-step explanation:

all of the above

The solution is Option D.

The sources of water pollution are sewage , oil spills and fertilizers

Water contamination is the tainting of bodies of water, typically as a result of human activity, which has a detrimental impact on their uses. Aquifers, reservoirs, lakes, rivers, seas, and groundwater are all examples of bodies of water. When contaminants are introduced into these water bodies, water contamination results. It causes illnesses: consuming contaminated water can lead to serious health problems. From diarrhoea, cholera, hepatitis A, typhoid, to death.

Given data ,

Water scarcity is the situation when available water is not sufficient

And , the sources of water pollution are mainly sewage , oil spills and fertilizers thrown out into the ocean and other water bodies by humans

Toxic substances from farms, towns, and factories readily dissolve into and mix with it, causing water pollution.

Ground water , surface water and ocean water pollution are the three water bodies caused by water pollution

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