The ratio of men to women in a movie theater is 3:5. As two more men and one more woman walk in, the ratio of men to women becomes 2:3. How many women were in the theater before these three walked in?
A. 5
B. 6
C. 20
D. 21

Where are your graph?

The numbers in this addition problem are given in scientific notation. First we should convert these values into decimal notation by moving the decimal points over by the power of 10 that the significant figures are being multiplied by.

The first number is being multiplied by 10^3, so the decimal place will move to the right 3 places to become 1240.

The second number is being multiplied by 10^4, so it becomes 23000.

Add these together to get:

1240 + 23000 = 24240

The answer is 24240.

Last choice the area becomes 25 times greater

Answer:

[tex]1,275\ m^{2}[/tex]

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of complete rectangle minus the area of the smaller inside rectangle

so

[tex]A=(65)(30)-(45)(15)=1,950-675=1,275\ m^{2}[/tex]

Alternative Method

The area of the shaded region is equal to the area of three rectangles

[tex]A=(10)(30)+(45)(15)+(10)(30)=1,275\ m^{2}[/tex]

They have a total mass of about 80kg

Answer: 80kg

Step-by-step explanation: 40 flamingos X 2kg = 80 kg

Answer:

12

Step-by-step explanation:

12 is the lowest common denominator here.  Both 4 and 6 divide evenly into 12 with no remainder.

Answer:

The answer D) 0.9

Step-by-step explanation:

i did this on USATestprep its correct

The value of the correlation coefficient is determined by how closely the data points in a scatter plot align along a straight line. Without viewing the scatter plot, it's not possible to accurately estimate the value of the correlation coefficient.

The estimate of the correlation coefficient (r) is based on the degree to which the points graphed in the scatter plot align along a straight line. The value of r varies between -1 and 1. If the points are very close to forming a straight line and the line slopes upwards, then r is close to 1. If the points are closer to forming a random cloud or a shape other than a line, the r is close to 0. So without viewing the scatter plot, it's impossible to choose the best estimate for r.

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Answer:

B) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, add (40m2 + 24m2 = 64m2).

Step-by-step explanation:

Samuel should is looking to find the area of his basement in order to cover it with carpet.

An area is calculated by multiplying two dimensions (so answers A and D are not it).

Best solution is to divide the area into two large rectangles then ADD them together to get the total area.

The only scenario where he could have subtracted something based on his plan is if he would have multiplied the 10m by the 12m then subtracted the area that is not part of his basement (7mx8m).  He would have achieved the same result of course, but by going a different way.

Hello fellow human! I hope this helps and possibly answers your question ♡＼(￣▽￣)／♡ Best of luck!

Answer:

Rounded to the nearest hundredth: 2.34 g/cm³

Step-by-step explanation:

Here's the formula to find the Density: [tex]p=\frac{m}{v}[/tex]

This is what the variables mean:

p = density

m = mass

V = volume

Now let's see what clues you have from this toy spoon!

p = ? We are going to solve to find out!

m = 7.5 grams

V = 3.2 mL

First, we should know that there is only 1 gram in each mL and vise-versa, so there is no need to convert these measurements.

Next, we plug in the values from what we know into the equation.

This is the formula: [tex]p=\frac{m}{v}[/tex]

Now if we plug in our values we get: [tex]p=\frac{7.5}{3.2}[/tex]

From that we get, p = 2.34375‬

Finally, if we round our answers we get:

Rounded to the nearest hundredth: 2.34 g/cm³

Rounded to the nearest tenth: 2.3 g/cm³

g/cm³ is the unit for density (in grams), so its up to you to put it or not!

Have an amazing day!! (♡°▽°♡) I hope you found this helpful ;))

The density of the toy spoon is approximately 2.34 g/mL.

The density of an object is calculated by dividing its mass by its volume. In this case, the mass of the toy spoon is 7.5 grams and its volume is 3.2 mL. To find the density, we divide the mass by the volume:

Density = Mass / Volume = 7.5 g / 3.2 mL

Calculating this, we get a density of approximately 2.34 g/mL.

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2:10 6:30 8:40 has a ratio of 1:5. How I did it was to divide the first number by the second number to get 1:5

For this case, we have that by definition, the Pythagorean theorem can only be applied to rectangular triangles.

The Pythagorean theorem states that:

[tex]a ^ 2 + b ^ 2 = c ^ 2[/tex]

Where:

a, b: are the legs

c: it is the hypotenuse.

In this case the rectangle triangle is in option A.

Answer:

Option A

Answer:

The first triangle

Step-by-step explanation:

The Pythagoras theorem is used to calculate the side length of the right angle triangle.

The theorem says that the sum of the square of the two shorter legs of a right angle is equal to the square of the hypotenuse.

From the given triangles, the only one which is a right angle triangle is the one with side lengths 2 and 3 .

The first triangle from left to right.

Answer:

x = -10

Step-by-step explanation:

-3/4 (x+2) = 6

Multiply each side of the equation by -4/3 to clear the fraction

-4/3 *-3/4 (x+2) = 6*-4/3

(x+2) = 2*-4

x+2 = -8

Subtract 2 from each side

x+2-2 = -8-2

x=-10

Set the equation to equal 0:

-x^2 +5 = 0

Subtract 5 from both sides:

-x^2 = -5

Multiply each side by -1:

x^2 = 5

Take the square root of both sides:

x = √5

Complete the solution by having both positive and negative:

x = √5 and x = -√5

Ordered pair: (√5,-√5)

Answer:

A.) The sum of the product of the number of terms and the number of terms plus one.

Step-by-step explanation:

So, we have the sum of the first 22 positive even numbers:

S = 2 + 4+ 6 + ... + 44

We know the sum of such sequence is given by the (sum of the first number (2) and the last number (44)) multiplied by the number of terms (11).

S = (2 + 44) * 11 = 46 * 11 = 506

Answer A tells us it should be the sum of the number of terms (22) by the number of terms plus one (22 + 1 = 23).

S = 22 * 23 = 506

That's confirmed.

Answer B would give 22 * 21 = 462, so it's not right

Answer C would give 22 * 2 = 44, obviously not right

Answer D would give 22 * 22 = 484, close but not right.

Answer:

the answer is d

Step-by-step explanation:

Answer:

a) Irrational

b) Rational

c) Rational

d) Rational

e) Irrational

f) Irrational

Step-by-step explanation:

a) Not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal.

b) It is a terminating decimal

c) It is a fraction

d) It is a integer

e) Not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal

f) Not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal

Answer:

The rate of change of g(x) is 7/8 which when multiplied by 20/21 gives 5/6, the rate of change of f(x). This means the answer is the second one.

Step-by-step explanation:

Answer:

x= -12,y= -3

Step-by-step explanation:

Answer:

hey this is the answer

Step-by-step explanation:

x= -12,y= -3

Answer:

Females and Males

Step-by-step explanation

Men and Women are a perfect example of inequal, men are much greater. Jkjk

n mathematics, an inequality is a relation that holds between two values when they are different. The notation a ≠ b means that a is not equal to b. It does not say that one is greater than the other, or even that they can be compared in size.

Answer:

The original number of cars in parking Lot A was 72 cars and the original number of cars in parking Lot B was 36 cars

Step-by-step explanation:

Let

x----> original number of cars in parking Lot A

y----> original number of cars in parking Lot B

we know that

x=2y ----> equation A

(x-10-13)=y+13 ----> equation B

substitute equation A in equation B and solve for y

(2y-10-13)=y+13

(2y-23)=y+13

2y-y=13+23

y=36 cars

Find the value of x

x=2y -----> x=2(36)=72 cars

therefore

The original number of cars in parking Lot A was 72 cars

The original number of cars in parking Lot B was 36 cars

Parking Lot B initially had 36 cars, and Parking Lot A had twice that amount, which is 72 cars. After 10 cars left Parking Lot A, and 13 cars were transferred from Parking Lot A to B, both lots ended up with the same number of cars.

The question asks us to solve a word problem involving the principle of algebraic equations to determine the number of cars in two parking lots. Let's refer to the number of cars in Parking Lot B as x. Therefore, Parking Lot A has 2x cars since it has twice as many cars as Parking Lot B.

According to the problem, after 10 cars leave Parking Lot A and 13 cars move from A to B, both lots end up with the same number of cars. We can set up the following equation to represent this scenario:

Initial condition: A has 2x cars, B has x cars.

10 cars leave A: A now has 2x - 10 cars.

13 cars move from A to B: A now has (2x - 10 - 13) cars, and B now has (x + 13) cars.

Both lots have the same number of cars: 2x - 10 - 13 = x + 13.

Solving the equation:

2x - 23 = x + 13

2x - x = 13 + 23

x = 36

Therefore, Parking Lot B initially had 36 cars, and Parking Lot A had 72 cars (2×36).

The experimental probability of the next train arriving at Law Station being on time is 8/9 or approximately 0.89.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required event / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The experimental probability of an event happening is the ratio of the number of times the event occurred to the total number of trials.

In this case, the event is a train arriving on time, and the trials are the last 18 trains to arrive at Law Station.

Out of the last 18 trains to arrive at Law Station, 16 were on time.

The experimental probability of the next train to arrive on time is

= 16/18

Simplifying this fraction, we get:

= 8/9

Thus,

The experimental probability of the next train arriving at Law Station being on time is 8/9 or approximately 0.89.

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Final answer:

The experimental probability that the next train will arrive on time at the law station, given that 16 out of the last 18 trains were on time, is approximately 88.9% or 8/9.

Explanation:

The question asks about the experimental probability that the next train to arrive at the law station will be on time given past performance. To calculate this, you use the formula for experimental probability, which is:

Probability = (Number of successful outcomes) / (Total number of trials)

In this case, the number of successful outcomes (trains that arrived on time) is 16, and the total number of trials (total trains arrived) is 18. Therefore, the experimental probability that the next train to arrive will be on time is:

16/18 = 8/9 ≈ 0.889

So, there is approximately an 88.9% chance that the next train will arrive on time based on past results.

Answer:

A) 7

B) 1

C)6

D) 7

Step-by-step explanation:

Clock arithmetic is just like the basic arithmetic you know... with one difference... there are no numbers beyond 12 (or 24).

In your question, you seem to indicate to consider only the 12-hour clock system, much like it is used in the USA.

So, every time you pass 12, you start at 1 again. So, your answer has to be under 13.  If your answer is still > 12 after you subtracted 12, subtract 12 again, and again, and again, until you get something <= 12.

That's what we call a modulo 12.

A) 8 + 11 = 19...  but then you subtract 12... 19 - 12 = 7

B) 4 + 9 = 13, 13 - 12 = 1

C) 7 * 6 = 42, 42 - 12 = 30, 30-12 = 18, 18 -12 = 6

D) 5 * 11 = 55, 55 - 12 = 43, 43 - 12 = 31, 31 - 12 = 19, 19 - 12 = 7

By performing the calculations and finding the remainders, we can determine the answers to the given expressions. The required answers are: A) 7, B) 1, C) 6, D) 7.

Let's solve each calculation step by step:

A) 8 + 11 (12 clock): 8 + 11 is 19. Since we are using a 12-hour clock, we need to take the remainder when dividing 19 by 12. 19 divided by 12 gives a remainder of 7. So, the answer is 7.

B) 4 + 9 (12 clock): 4 + 9 is 13. Dividing 13 by 12 gives a remainder of 1. So, the answer is 1.

C) 7 x 6 (12 clock): 7 multiplied by 6 is 42. Dividing 42 by 12 gives a remainder of 6. So, the answer is 6.

D) 5 x 11 (12 clock): 5 multiplied by 11 is 55. Dividing 55 by 12 gives a remainder of 7. So, the answer is 7.

ANSWER

Mel followed the right direction.

EXPLANATION

Pat's trinomial is;

[tex] {x}^{2} + 3x - 10[/tex]

There are factors of -10 that sums up to 3.

[tex]5 + - 2 = 3[/tex]

Hence this trinomial could be factored into (x-2)(x+5)

Sam's trinomial:

[tex] {x}^{2} + x - 12[/tex]

There are factors of -12 that sums up to 1.

4+-3=1

[tex] {x}^{2} + x - 12 = (x + 4)(x - 3)[/tex]

Mel's trinomial:

[tex] {x}^{2} + 2x - 1[/tex]

There are no factors of -1 that sums to 2.

This trinomial cannot be factored.

Lee's trinomial:

[tex] {x}^{2} + 2x - 3[/tex]

There are factors of -3 that sums up to 2

3+-1=2

[tex] {x}^{2} + 2x + 3 = (x + 3)(x - 1)[/tex]

Answer:

i might be wrong but i think its 900

Step-by-step explanation:

Answer:

236.625

Step-by-step explanation:

7.5 * 7.5 = 56.25

56.25 * 3.14 = 176.625

176.625 + 60 = 236.625

Answer:

Part 1) and Part 2) in the procedure

Step-by-step explanation:

step 1

Find the measures of angles

we know that

The sum of the angles A, B and C must be equal to 360 degrees

Using a protractor

The measures of angles are

∠A=140°

∠B=100°

∠C=120°

step 2

Ordered the measures of the angles from least to greatest

1) ∠B=100°

2) ∠C=120°

3) ∠A=140°

Answer:

Step-by-step explanation:

Use sine and cosine.

[tex]sine=\dfrac{opposite}{hypotenuse}[/tex]

[tex]cosine=\dfrac{adjacent}{hypotenuse}[/tex]

Q8.

We have:

[tex]opposite=y\\\\adjacent=x\\\\hypotenuse=18\\\\\alpha=18^o\\\\\sin18^o\approx0.309\\\\\cos18^o\approx0.9511[/tex]

Substitute:

[tex]\dfrac{y}{18}=0.309[/tex]               multiply both sides by 18

[tex]y=5.562\to y\approx5.6[/tex]

[tex]\dfrac{x}{0.9511}=18[/tex]             multiply both sides by 0.9511

[tex]x=17.1198\to x\approx17.1[/tex]

Q9.

We have:

[tex]opposite=y\\\\adjacent=x\\\\hypotenuse=26\\\\\alpha=68^o\\\\\sin68^o\approx0.9272\\\\\cos68^o\approx0.3746[/tex]

Substitute:

[tex]\dfrac{y}{26}=0.9272[/tex]             multiply both sides by 26

[tex]y=24.1072\to y\approx24.1[/tex]

[tex]\dfrac{x}{26}=0.3746[/tex]          multiply both sides by 26

[tex]x=9.7396\to x\approx9.7[/tex]

Answer: Your answer is C.

Step-by-step explanation: I'm taking this test rn and it's C. K12 anyone?

Answer:

Step-by-step explanation:

In the given graph, we have an isosceles triangles, which height divides its side in two equal parts.

So, from the division, we have to equal right triangles, which on leg is 6, and its angle is 80°, being the height the other leg.

Now, to find the height, we have to use trigonometric reasons, specifically, the tangent reasons because involves a relation with both legs

[tex]tan80=\frac{h}{6}[/tex]

So, we isolate [tex]h[/tex] to find its expression

[tex]h=6(tan80)[/tex]

If we compare with given choices, you'll observe that option C is the right answer.

Answer:

A right tailed test

Step-by-step explanation:

In hypothesis testing there are two types of hypotheses;

The null hypothesis, H0 and the alternative hypothesis, Ha. The null hypothesis is the hypothesis of no difference and as such it always has an equality sign;

=, ≤, ≥

On the other hand the alternative hypothesis complements the null hypothesis meaning that if the null hypothesis is rejected then we take the alternative hypothesis to be true.

The kind of test to be carried out in hypothesis testing emanates from the inequality sign of the alternative hypothesis. The following are the key points to note, if the alternative hypothesis contains;

≠, then this automatically becomes a two tailed test

<, then this automatically becomes a left tailed test since the inequality sign is pointing towards the left.

>, then this automatically becomes a right tailed test since the inequality sign is pointing towards the right.

In the scenario given the following will be the set of hypotheses to be tested;

H0: u ≤ 45

Ha: u > 45 ( the hypothesis that the average speed of cars is greater than the speed limit)

The kind of test to be used is thus a right tailed test since the alternative hypothesis contains >.

I hope this will help.

Answer:

Right tailed test

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

The perpendicular diameter to the chord divides it into two congruent parts.

Since

we have that XT=TS.

Hence,

3b-1=b+5,

3b-b=5+1,

2b=6,

b=3.

So,

XT=3·3-1=9-1=8

TS=3+5=8

and

XS=XT+TS=8+8=16.