You randomly draw a marble from a bag of marbles that contains 8 blue marbles, 5 green marbles, and 8 red marbles.

Answer:

k = -3/2

Step-by-step explanation:

Write the equation of the line.

Replace x and y with the x- and y-coordinates, respectively, of the point.

Solve for k.

y = kx + 5

Replace x with -6. Replace y with 14.

14 = k(-6) + 5

Solve for k.

14 = -6k + 5

9 = -6k

k = -9/6

k = -3/2

Answer:

-7/6

Step-by-step explanation:

You know that x = -6 and y = 14 so you can plug them into your equation like this:

12= k(-6) + 5

Then solve for k

12-5 = 7

k = -7/6

Answer:

Final Profit = £11,000

Step-by-step explanation:

Incoming / Outgoing Profit / Cost Events £22,765

Staff £6,711

Security £3,452

Maintenance £500

Merchandise £967

Final Profit = £22,765 - £6,711 - £3,452 - £500 - £967 = £11,135

Answer:

  (x -a)^2 + y^2 = 2a^2

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

Here r^2 is the square of the distance between the center and the point on the circle. That can be found using the distance formula:

  d^2 = r^2 = (x2-x1)^2 +(y2 -y1)^2 = (0-a)^2 +(-a-0)^2 = 2a^2

Filling in the above formula with (h, k) = (a, 0) and r^2 = 2a^2, we find the equation to be ...

  (x -a)^2 +y^2 = 2a^2

The expression (6.75) is already in its simplest form. This is because 6.75 is a decimal number that cannot be reduced further or broken down into a simpler expression.

The mathematical expression you've shared, (6.75), is already considered to be in its simplest form. Therefore, simplifying the expression doesn't change it because 6.75 is a decimal number. It can't be reduced further or broken down into a simpler expression. The expression remains as is, which is 6.75. In mathematics, simplifying an expression typically involves combining like terms or reducing fractions, however, this is not applicable in this situation as you've provided a single decimal number.

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Answer:

3.35

Step-by-step explanation:

Answer:

3.35

Step-by-step explanation:

Answer:

empty set or have no soln

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = 2x + 4....this is just a matter of substitution...so sub in 2x + 4 for y back into the other equation

6x - 3y = 3

6x - 3(2x + 4) = 3......distribute the -3 thru the parenthesis

6x - 6x - 12 = 3 ...combine like terms

-12 = 3 (incorrect)

these equations have NO SOLUTION because they are parallel lines

Answer:

The range is [tex]\{-9,-8,-7,-6,-5\}[/tex]

The graph in the attached figure

Step-by-step explanation:

we have

[tex]y=x-7[/tex]

The domain is the interval [tex]\{-2,-1,0,1,2\}[/tex] ----> given problem

Remember that

The domain of a function is the set of all possible values of x

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

To find out the range of the function , find the value of y for each value of x

so

For x=-2 ----> y=-2-7=-9

For x=-1 ----> y=-1-7=-8

For x=0 ----> y=0-7=-7

For x=1 ----> y=1-7=-6

For x=2 ----> y=2-7=-5

therefore

The range is [tex]\{-9,-8,-7,-6,-5\}[/tex]

The graph in the attached figure

To find the number of non-soda cans collected by Miguel, subtract the number of soda cans from the total number of cans he collected.

Miguel collected a total of 150 aluminum cans for recycling. The question asks how many of these cans were not soda cans. To find the answer, we need to subtract the number of soda cans from the total number of cans collected. Let's say x represents the number of soda cans. So, the number of non-soda cans would be 150 - x.

Answer:

2376

Step-by-step explanation:

2160×1.10

i believe it is this

Final answer:

The original price of the motorbike is calculated by dividing the final price of $2160 by 0.9, which represents the 90% price paid after a 10% discount. The original price of the motorbike was $2400 before the discount was applied.

Explanation:

The question asked us to calculate the original price of a motorbike before a 10% discount was applied and the final price came down to $2160. To do this, we recognize that the final price ($2160) is 90% of the original price because a 10% discount was given. Thus, if we let the original price be 100%, we can find it by dividing the final price by 0.9 (which represents 90%).

Here's the step-by-step calculation:

Express the discount as a decimal: 10% = 0.1.

Determine the percentage of the original price paid: 100% - 10% = 90% = 0.9.

Calculate the original price: Original Price = Final Price / 0.9.

Substitute the known value: Original Price = $2160 / 0.9.

Perform the division to find the original price: Original Price = $2400.

The original price of the motorbike was therefore $2400 before the discount.

Answer: 40 small cups sold and 30 large cups sold.

Step-by-step explanation:

Let be "s" the number of small cups sold and "l" the number of large cups sold.

Based on the information given in the exercise, you can set up the following system of equations:

[tex]\left \{ {{s+l=70} \atop {10s+20l=1000 }} \right.[/tex]

You can use the Elimination Method to solve the system of equations:

1. Multiply the first equation by -10.

2. Add both equations.

3. Solve for "l".

Then, you get:

[tex]\left \{ {{-10s-10l=-700} \atop {10s+20l=1000 }} \right.\\.........................\\10l=300\\\\l=\frac{300}{10}\\\\l=30[/tex]

4. Finally, substitute the value of "l" into any original equation and solve for the variable "s" in order to find its value.

This is:

[tex]s+30=70\\\\s=70-30\\\\s=40[/tex]

Answer:

72

Step-by-step explanation:

Here is the complete question: The results of a survey showed that 40% of 300 Students chose conserving natural resources as the top priority for their generation. Suppose only 24% of 300 students chose conserving natural resources. How many students chose conserving natural resources?

Given: 24% of 300 students chose conserving natural resources.

Now, finding the number of student chose conserving natural resource.

Using percentage to find the answer.

[tex]Number\ of\ student\ chose\ conserving\ natural\ resources= \frac{24}{100} \times 300[/tex]

⇒ [tex]Number\ of\ student\ chose\ conserving\ natural\ resources= 24\times 3[/tex]

∴ [tex]Number\ of\ student\ chose\ conserving\ natural\ resources= 72\ students[/tex]

Hence, there are 72 students chose conserving natural resources.

Answer:

3n + 5

Step-by-step explanation:

You can't add 5 to 3n. So in 5 years he will 3n + 5.

José's age in 5 years will be 3n + 5, where 3n represents his current age.

If José's present age is 3n, and we want to find out how old he will be in 5 years, we need to add 5 to his current age expressed as 3n. This can be done with a simple algebraic expression:

Age in 5 years = Current Age + 5 = 3n + 5

Without the value of n, we can't calculate his exact future age, but we know that in 5 years, his age will be 5 years older than it is now.

Answer:

d

This is because 7+x+1=30 (this is the equation btw).

You combine the like terms so you get 30=8+2x (7+1 and x+x)

do the equation so you get:

30=8+2x

-8    -8

22=2x

divide both sides by 2

11=x

Answer:

D

Step-by-step explanation:

Perimeter = addition of all sides

30 = 7 + x + x + 1

30 = 8 + 2x

Collecting like terms

30 - 8 = 2x

22 = 2x

Dividing by 2

22/2 = 2x/2

11 = x

Answer:

1a + 6 or a + 6

Step-by-step explanation:

3a - 2a + 6

3a - 2a = 1a or a

1a + 6 or a + 6

plz mark brainliest i just need 3 more plz plz plz

Answer:

3a-2a+6= (3-2)×a + 6 = (1)×a + 6 = a + 6

Answer:

Using excel, we can form the table to create a scatter plot, as shown in attached figure.

Step-by-step explanation:

Given the starting temperature (°F) as

Given the ending temperature (°F) as

Consider starting temperature (°F) as the x-axis and ending temperature (°F) as y-axis

Using excel, we can form the table to create a scatter plot, as shown in attached figure.

Keywords: data, scatter plot, table

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3(4x + 2) - 6x

12x + 6 - 6x

6x + 6

Hope this helps! ;)

Answer:

The correct answer is B. 6x + 6

Step-by-step explanation:

Let's simplify the expression, this way:

3(4x + 2) - 6x

12x + 6 - 6x

6x + 6

After solving the parenthesis, multiplying, adding and subtracting, the correct answer is B. 6x + 6

Answer:

y intercept is 4

Step-by-step explanation:

rearranging the equation,

y = -3x + 4

so 4 is the intercept on y axis

Answer:

16 cups

Step-by-step explanation:

64 × .25=16

When the total amount of ice cream, 64 cups, is divided by the scoop size, which is 1/4 cup, it gives us 256. Therefore, Jerry can get 256 scoops of ice cream from each bucket.

The amount of ice cream in each bucket is given as 64 cups. Jerry's scoop holds 1/4 cup of ice cream. In order to figure out how many scoops Jerry can get from one bucket, we need to divide the total amount of ice cream (64 cups) by the amount Jerry's scoop holds (1/4 cup).

To carry out this operation, we divide 64 by 1/4 which is equivalent to multiplying 64 by the reciprocal of 1/4 (i.e., 4/1 or simply 4). This results in 64 * 4 = 256. So, Jerry can get 256 scoops of ice cream out of each bucket.

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Answer:

OPTION B:   229.28 $

Step by-step explanation:

Whenever a deposit is made the balance increases and when a withdrawal is made the balance is decreased.

So, to compute the balance on Friday, assuming that he hasn't deposited on Friday, we add all the deposits and subtract all the withdrawals.

On Monday he has 225 $. He withdraws 27.25 $. So, the balance would be: 225 - 27.25 = 197.75

On Tuesday he deposits money. So, the balance would be 197.75 + 75.5

= 273.25

On Wednesday he deposits and withdraws. So, it would be

273.25 + 32.19 - 61 . 95 = 243.49

On Thursday, he withdraws. So, the balance would be: 243.49 - 14.21

= 229.28 $ which will be the balance on Friday.

Hence, OPTION B is the answer.

speed of a boat when it goes downstream is 336/12 = 28 mi/h

speed of a boat when it goes upstream is 336/14 = 24 mi/h

Let v is speed of the boat in still water and x is speed of the current. Then,

v + x = 28

v - x = 24

Solve the system for v and x and get v = 26 mi/h, x = 2 mi/h

Answer:

y=2.5x+3650

Step-by-step explanation:

since you don't know the amount of units sold you make that x

you do know that the company has to pay a set amount each month for utilities and salaries. 350+3300

put this together, and you get the equation:

y=2.5x+3650

y=total expenses

2.5= price per unit

x= total units sold

3650=amount payed each month for utilities, and salaries

Answer:

P(red marble) = 6÷15

Step-by-step explanation:

First, we add all of it we get 15.

Now the probability of getting a red marble will be = number of favorable outcomes ÷ total out comes.

Here the favorable outcomes to red is 6,and the total outcome is 15.

So it is 6÷15.

Now we took one marble. And kept it away.

Now the total number of outcomes are 15-1=14

Now the favorable outcomes for green is 7,snd total outcomes are 14.

So the probability is 7÷14.

Remember don't subtract the one marble u took in every similar question. Do it only if it is told to keep away the first marble you took.

Feel free to ask any further questions and also pls follow me and make this the brainliest answer.

Answer:

10875

Step-by-step explanation:

of always means you have to multiply

Answer:

51.72

Step-by-step explanation:

Percentage Calculator: 75 is what percent of 145? = 51.72.

Answer:

Jason has to ride 0.75 i.e. [tex]\frac{3}{4}[/tex]  miles to reach the end of the path.

Step-by-step explanation:

Jason begins at the start of a path and rides his bike [tex]11\frac{1}{2}[/tex] miles on the path . The path is [tex]12\frac{1}{4}[/tex] miles long.

Therefore, the path is 12.25 miles long and Jason rides the distance of 11.5 miles.

We are asked to determine the distance that Jason must ride to reach the end.

Hence, Jason has to ride (12.25 - 11.5) = 0.75 i.e. [tex]\frac{3}{4}[/tex]  miles to reach the end of the path. (Answer)

Answer:

[tex]10.3\ in^3[/tex]

Step-by-step explanation:

Orange has the shape of a ball.

The volume of a ball with radius r inches is

[tex]V=\dfrac{4}{3}\pi r^3\ in^3[/tex]

The radius of one of the oranges is 1.35 inches.

Hence, its volume is

[tex]V=\dfrac{4}{3}\cdot \pi \cdot (1.35)^3\approx \dfrac{4}{3}\cdot 3.14\cdot 2.460375=10.30077\ in^3 \approx 10.3\ in^3[/tex]

Answer:

10.3 in^3

Step-by-step explanation:

Answer:

Simplified: -21-98t

Factored: -7(14t+3)

Step-by-step explanation:

The given expresion is:

14-28t-5(7+10t)

We expand the parenthesis to get:

[tex]14 - 28t -35 - 70t[/tex]

We group like terms to get:

[tex]14 -35 - 28t- 70t[/tex]

We combine similar terms to get:

[tex] - 21- 98t[/tex]

We now factor to obtain:

[tex] - 21- 98t = - 7(14t + 3)[/tex]

Answer:

Part A:  For no solution ⇒ 3x + 9 + 4x + x = 8x + 0

Part B:  For one solution ⇒ 3x + 9 + 4x + x = 0 * x + 1

Part C:  For infinitely many solutions ⇒ 3x + 9 + 4x + x = 8x + 9

====================================

Step-by-step explanation:

Part A:

3x + 9 + 4x + x = 8x

8x + 9 = 8x ⇒ Subtract 6x from both sides,

9 = 0 which is absurd and hence the equation has no solution.

=====================================

Part B:

3x + 9 + 4x + x = 0 * x + 1

∴ 3x + 9 + 4x + x = 1

8x + 9 = 1 ⇒ Subtract 9 from both sides.

8x = 1 - 9 = -8 ⇒ Divide both sides by 8.

x = -1      ⇒ this is the only solution.

======================================

Part C:

3x + 9 + 4x + x = 8x + 9

8x + 9 = 8x + 9

Subtract 8x from both sides,

9 = 9, both sides are balanced which means, the equation has infinitely many solutions.

Answer:

See diagram below:

Step-by-step explanation: