If two quantities are proportional, which must be true of a graph showing the relationship between them? Select all that apply.

Answer:

5c - 2b

Step-by-step explanation:

3c + 2c +2b -4b

5c - 2b

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Answer:

a) There are 93,367,432,000,000 ways to place the lunch order.

b) There are 11,861,676,000,000 ways for the company to place the lunch order if the 10 lunches purchased are all different.

Step-by-step explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

\(P_{(n,x)} = \frac{n!}{(n-x)!}\)

a. How many different ways are there for the company to place the lunch order for the 10 lunches?

For each of the 10 lunches, there are 25 options. So

\(25^10 = 93,367,432,000,000\)

There are 93,367,432,000,000 ways to place the lunch order.

b. How many ways are there for the company to place the lunch order if the 10 lunches purchased are all different?

The order is important, which means that the permutations formula is used to solve this question. So

\(P_{(25,10)} = \frac{25!}{(25-10)!} = 11,861,676,000,000\)

There are 11,861,676,000,000 ways for the company to place the lunch order if the 10 lunches purchased are all different.

To find the value of x, we can set the two angle measures equal to each other and solve for x.

Given:

mZA = (4x - 2)°

mZB = (6x - 20)°

Setting them equal to each other:

4x - 2 = 6x - 20

Now, we can solve for x:

4x - 6x = -20 + 2

-2x = -18

Dividing both sides by -2:

x = -18 / -2

x = 9

Therefore, the value of x is 9.

Answer:

The answer is 9.

Step-by-step explanation:

We need to use the fact that the sum of the angles in a triangle is 180 degrees. Let A, B, and C be the three angles in the triangle. Then we have:

mZA + mZB + mZC = 180°

Substituting the given values, we get:

(4x - 2)° + (6x - 20)° + mZC = 180°

Simplifying the left side, we get:

10x - 22 + mZC = 180°

Next, we use the fact that angles opposite congruent sides of a triangle are congruent. Since we know that segment AC and segment BC are congruent, we have:

mZA = mZB

Substituting the given values and simplifying, we get

4x - 2 = 6x - 20

Solving for x, we get:

x = 9

Therefore, the value of x is 9.

Answer: I WOULD SAY 45%

Step-by-step explanation:

The percentage increase in miles per gallon from Toyota city driving to highway driving is 33.33%.

The percentage increase in miles per gallon from Toyota city driving to highway driving can be calculated using the formula:

Percentage increase = ((new value - old value) / old value) x 100

Let's say the old miles per gallon for city driving is 30 and the new miles per gallon for highway driving is 40:

Therefore, there is a 33.33% increase in miles per gallon from Toyota city driving to highway driving.

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Answer:

y = 8 when x = 2

Step-by-step explanation:

y = 4x

Answer:

6

Step-by-step explanation:

1. re-write the given system:

cx+3y=c-3; => y= -cx/3 +(c-3)/3

12x+cy=c; => y= -12x/c+c/12

2. according the condition the rule for the parallel graphs is:

-c/3= -12/c

3. to calculate the unknown 'c':

c²=36; ⇔c=±6

Answer:

6

Step-by-step explanation:

The system of equations:

cx + 3y = c - 3 ... (i)

12x + cy = c ... (ii)

Multiplying (i) by c and (ii) by 3 gives;

c²x + 3cy = c² - 3c ... (i)

36x + 3cy = 3c ... (ii)

(i) - (ii) gives;

c²x - 36x + 0 = c² - 3c - 3c

c²x - 36x = c²

c²x - c² = 36x

c²(x - 1) = 36x

c² = \(\frac{36x}{x - 1}\)

If  c = -2 then;

(-2)² = 4 = \(\frac{36x}{x - 1}\) , 4x - 4 = 36x , 32x = -4 , x = \(-\frac{1}{8}\)

If c = 2  then;

2² = \(4 = \frac{36x}{x - 1} , 4x - 4 = 36x , 32x = -4 , x = -\frac{1}{8}\)

If c = 6 then;

6² = 36 = \(\frac{36x}{x - 1}\) , 36x - 36 = 36x, 36x - 36x = 36 , x (36 - 36) = 36 , x(0) = 36 , x =   \(\frac{36}{0}\) = undefined or infinitely many solutions.

Hence the system of equations given above will have infinitely many solutions if the value of c is 6.

Answer:

6

Step-by-step explanation:

I Just answered the question on my test

Answer:

E

Step-by-step explanation:

When is comes to a system of equations, the point where the lines intercept is the answer.

Answer:

There are 0

Step-by-step explanation:

Absolute value is the positive distance a number is away from 0, so no value of x will make the equation true

Answer:

A 0

Step-by-step explanation:

There are no solutions. Because the absolute value always returns a positive value, there are no solutions to this equation.

If x is negative, the answer will be positive. If x is positive the answer will still be positive. No value of x will give a value of -4. So there is no solution.

Answer:

C

Step-by-step explanation:

AP Classroom

Step-by-step explanation:

\(sin(1 \div 4a + 20) = \sqrt{3} \div 2 \\ sin(1 \div 4a + 20) =sin 60\)

1÷4a+20=60

1÷4a=4

a=1/160

Answer: 14450

Step-by-step explanation:

15% of 17000 is 2550. 17000-2550 is 14450

Answer:

answer: 56

Hope this helps!

Answer:

1/4

Step-by-step explanation:

3/4-1/2=

you must multiply the denominator and numerator of 1/2 by 2 to get your common denominator.

3/4-2/4=

1/4

Such probability is calculated by dividing the number of mystery books by a total number of books:

    --> \(\frac{16}{32} = \frac{1}{2}\)

Thus the probability that the book is a mystery book is 1/2.

Hope it helps!

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

but please where is the question?

It is not possible for the measure of each interior angle of a regular polygon to be four times the minimum angle of rotation about its center that carries the polygon onto itself.

What is the interior angle?

The inner of the two angles formed where two sides of a polygon come together. any of the four angles formed in the area between a pair of parallel lines when a third line cuts them.

Jasper's claim is not true. The minimum angle of rotation about the center of a regular polygon that carries the polygon onto itself is called the polygon's "order of rotational symmetry." This angle is always less than or equal to 180 degrees, and it is equal to 360 degrees divided by the number of sides in the polygon.

For example, a regular hexagon has an order of rotational symmetry of 60 degrees (360 degrees / 6 sides), and a regular octagon has an order of rotational symmetry of 45 degrees (360 degrees / 8 sides).

Therefore, if the measure of each interior angle of a regular polygon is four times the minimum angle of rotation about its center that carries the polygon onto itself, then the measure of each interior angle would have to be at least 720 degrees. However, the sum of the interior angles of a regular polygon with n sides is 180(n-2) degrees, which is always less than 720 degrees for any value of n greater than 2.

Therefore, it is not possible for the measure of each interior angle of a regular polygon to be four times the minimum angle of rotation about its center that carries the polygon onto itself.

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Answer:

28.26

Step-by-step explanation:

The formula for calculating diameter is πd (pi times the diameter), so 3.14 times 9 is 28.26.

Answer:

50 hrs

Step-by-step explanation:

80=4h (h=hours)

h=20 (1hr=20 bucks)

1000=xh (x=number of hrs.)

1000=20x (h=20 so sub that in)

x=1000 divided by 20

which is 50hrs til johnny gets 1000 bucks

Answer:

about 9 pounds, 7 ounces

Step-by-step explanation:

Answer:  A  129

Step-by-step explanation:

Because the 2 chords are the same (lines in the circle), the 2 arcs are the same  create an equation that makes them equal

3x+24 = 4x -11             >bring x to one side by subtracting both sides by 3x

24 = x -11                     > add both sides by 11

35 = x

Now that we have solved for x you need to plug that back into the equation for BC

BC= 4x-11

BC = 4(35) - 11

BC =  140 - 11

BC = 129                   >A

Answer:

T(3) = 13

Step-by-step explanation:

If we are trying to find the 3rd term of this specific sequence, then we simply plug in 3 as n.

T(3) = (3)² + 4

T(3) = 9 + 4

T(3) = 13

However, this isn't proper notation for an arithmetic or geometric sequence.

Answer:

13

Step-by-step explanation:

T(n) = n² + 4

Put n as 3 to find the third term.

T(3) = (3)² + 4

Solve for the powers.

T(3) = 9 + 4

Add the terms.

T(3) = 13

Answer:

Thank you

Step-by-step explanation:

:)

Answer:

25 per hour, 125 for an hour for 5 days

Step-by-step explanation:

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

12.5 cups of flour are needed

Step-by-step explanation:

Divide 20 dozen by 8 dozen to find the scale factor:

20 / 8 = 2.5

He needs 2.5 times more flour.

Multiply 5 cups by 2.5:

5 x 2.5 = 12.5 cups of flour are needed.

Hopefully this helps!

Answer:

so you have to subtract for minus 53 so 4 - 53 is wait you have to subtract 51 and 3 and 1/2 - 4 so I'mma just get to the answer the answer is b