The last line of a proof represents

142 sodas and 71 hot dogs are sold

Solution:

Let "a" be the number of sodas sold

Let "b" be the number of hot dogs sold

At a football game, a vender sold a combined total of 213 sodas and hot dogs

Therefore,

number of sodas sold + number of hot dogs sold = 213

a + b = 213 ------------ eqn 1

The number of sodas sold was two times the number of hot dogs sold

Number of sodas sold = two times the number of hot dogs sold

a = 2b ---------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

2b + b = 213

3b = 213

b = 71

Substitute b = 71 in eqn 2

a = 2(71)

a = 142

Thus 142 sodas and 71 hot dogs are sold

Answer:

C

Step-by-step explanation:

The equation of the function g(x) after the transformation is g(x) = kn(x - 3).

A vertical asymptote of a function is the vertical line x = c such that the function tends to approach to infinity as the value of x approaches c.

Given a function f(x) = = ln (x).

The vertical asymptote of the logarithmic function is x = 0.

If the vertical asymptote of the new function is x = 3, this means that the function is shifted to the right by 3 units.

When f(x) is shifted to right by k units, new function is f(x - k).

So the function g(x) is,

g(x) = f(x - 3) = ln (x - 3).

Hence the correct option is C.

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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:

12x+3y+1 = 0

Step-by-step explanation:

see see the image for the better explanation.

please ask if something is not clear.

Answer:

Step-by-step explanation:

just deez its d btw

Answer:

y intercept is 4

Step-by-step explanation:

rearranging the equation,

y = -3x + 4

so 4 is the intercept on y axis

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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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.

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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Option 1: 6a = 420 requires division property of equality to be solved

Step-by-step explanation:

Solving an equation means to find the value of a variable by isolating the variable on one side of the equation.

We will see all the options one by one.

Option 1:

[tex]6a = 420[/tex]

In this option, 6 is multiplied with the variable so we have to divide the whole equation by 6 to find the value of a.

So we will use "Division property of Equality"

Dividing both sides by 6

[tex]\frac{6a}{6} = \frac{420}{6}\\a=70[/tex]

Hence,

Option 1: 6a = 420 requires division property of equality to be solved

Keywords: Linear equation, variables

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Answer:

6a = 420

Step-by-step explanation:

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

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:

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:

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

Option A) when y=6 and w= 2, Option B) when y=4 and w=-1 are the TWO correct choices.

Step-by-step explanation:

The given inequality is w<x<y and x>2.

step 1: let us assume that x=3, since it is given that x>2.

step 2: substitute the value of x=3 and each options in the inequality

step 3: option A) w=2, y=6. Then w<x<y = 2<3<6 (the condition satisfies).

            option B) w= -1, y=4. Then w<x<y = -1<3<4 (the condition satisfies).

            option C) w= 0, y=2. then w<x<y ≠ 0<2<2 (does not satisfies).

            option D) w= -2, y=0. then w<x<y ≠ -2<2<0 (does not satisfies).

            option E) w= -4, y= -1. then w<x<y ≠ -4<2<-1 (does not satisfies).

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:

To calculate the location of the diver after 12 1/2 seconds, use the formula: location = initial location - (rate of descent * time). The location of the diver after 12 1/2 seconds is -28.

To calculate the location of the diver after 12 1/2 seconds, we can use the formula: location = initial location - (rate of descent * time). Since the diver is descending at a rate of 2 1/4 per second, we can plug in the values to calculate their location after 12 1/2 seconds.

Initial location: 0 (surface of the water)

Rate of descent: 2 1/4 per second

Time: 12 1/2 seconds

Using the formula, we have: location = 0 - (2 1/4 * 12 1/2)

Calculating the expression, we find that the location of the diver after 12 1/2 seconds is -28.

Answer:8/77

Step-by-step explanation:

Answer: 8/77

Step-by-step explanation:

2/7 divided by 11/4 = 2/7 x 4/11

2/7 x 4/11 = 8/77

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:

10

Step-by-step explanation:

Out of the ten cards she has ten chances to pick each one

The total number of possible outcomes will be 20.

Random sampling is the method of selecting the subset from the set to make a statical inference.

Carmen has a deck of cards numbered 1-10. She picks one card and flips a coin.

Then the total number of samples is calculated as,

Total sample = 10 x 2

Total sample = 20

The samples are given below.

(1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (7, H), (8, H), (9, H), (10, H)

(1, T), (2, T), (3, T), (4, T), (5, T), (6, T), (7, T), (8, T), (9, T), (10, T),

The total number of possible outcomes will be 20.

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Final answer:

The hockey player must score 20 goals to make the same money as the first contract.

Explanation:

In order to make the same amount of money as the first contract, the hockey player must calculate the number of goals required. Let's assume the player needs to score 'x' goals.

For the first contract, the total salary would be 50000 + 1000x. For the second contract, the total salary would be 40000 + 1500x.

Equating the two salaries, we get:

50000 + 1000x = 40000 + 1500x

Subtracting 1000x from both sides, we get:

50000 = 40000 + 500x

Subtracting 40000 from both sides, we get:

10000 = 500x

Dividing both sides by 500, we get:

x = 20

So, in order to make the same money as the first contract, the player must score 20 goals.

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:

This is true

Step-by-step explanation:

When looking at x itself it is just ONE x. 1x=x, the 1x isn't necessary to have so it is shown as x. So looking at x/3 you could say it is also 1x/3 which would still be the same if it were 1/3x. Both would still be considered one-third OF x.

The answer is "[tex]3x=3x[/tex]"

Equating:

[tex]\to \frac{x}{3} = \frac{1}{3}x\\\\x=?[/tex]

Cross multiplying the given expression:

[tex]\to \frac{x}{3} = \frac{1}{3}x\\\\\to 3x=3x[/tex]

Therefore, the given statement is "True"

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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:

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:

Step-by-step explanation:

The set of values are 2, 4, 7, 8, 9.

The mean of these values are [tex]\frac{2 + 4 + 7 + 8 + 9}{5} = \frac{30}{5} = 6[/tex].

The mean of the squares of the differences of these numbers and the mean is [tex]\frac{(6 - 2)^{2} + (6 - 4)^{2} + (6 - 7)^{2} + (6 - 8)^{2} + (6 - 9)^{2}}{5} = \frac{(4)^{2} + (2)^{2} + (-1)^{2} + (-2)^{2} + (-3)^{2}}{5} = \frac{34}{5} = 6.8[/tex].

In order to get the value of the standard deviation, we need to square-root the value of 6.8.

Hence, the standard deviation of the data set is [tex]\sqrt{6.8} = 2.607680962081[/tex] ≅2.6076809621.

Answer:

Correct answer is 2.9.

Took the test.

Answer: The difference between a number and five is negative 2

Step-by-step explanation:

Answer:

The difference between a number and five is negative 2.

Step-by-step explanation:

~King from 7 deadly sins~

Answer:

see attached picture please

STEPS:

1. Start my distributing through the parentheses on each side

of the equation to get 3m + 21 = 6m + 12.

2. Now move your m's to the right and numbers to the left

and you get 9 = 3m.

3. Divide both sides by 3 and 3 = m.

Work is attached.