John eats 4/12 of a sandwich. Emma eats 3/12 of the same sandwich. How much more sandwich did John eat than Emma?​

Answer: (2, -1) is where they intersect.

9514 1404 393

Answer:

  26.67 feet

Step-by-step explanation:

The arc length is given by the formula ...

  s = rθ . . . . . . where r is the radius and θ is the angle in radians

Here, the angle is 360° -225° = 135° = 3π/4 radians

Filling in the known information, we have ...

  20π = r(3π/4)

  r = 80/3 . . . . . divide by the coefficient of r

  r ≈ 26.67 . . . . feet

Answer:

ASA

Step-by-step explanation:

If you look at the bottom of the triangle, then you will see that ∠B equals ∠B', and ∠C equals ∠C'. Between them, BC = BC'.

Hope that this helps!

Answer:

2t=29

Step-by-step explanation:

the phrase is at most means we set the constant 29 less than or equal to the term 2t using the (<=) operator

Answer:

0.4054 = 40.54% probability of selecting a black sock on the second draw given that a black sock was selected on the first draw

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Black sock on the first draw.

Event B: Black sock on the second draw.

The probability of selecting a black sock on the first draw is 8/19.

This means that [tex]P(A) = \frac{8}{19}[/tex]

Black socks on both draws:

The probability of selecting two black socks is 120/703

This means that [tex]P(A \cap B) = \frac{120}{703}[/tex]

What is the probability of selecting a black sock on the second draw given that a black sock was selected on the first draw?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(B|A) = \frac{\frac{120}{703}}{\frac{8}{19}}[/tex]

[tex]P(B|A) = \frac{120}{703}*\frac{19}{8}[/tex]

[tex]P(B|A) = \frac{120*19}{703*8}[/tex]

[tex]P(B|A) = 0.4054[/tex]

0.4054 = 40.54% probability of selecting a black sock on the second draw given that a black sock was selected on the first draw

Answer:

X= 14  

The acute angle measures 34 degrees.

The obtuse angle measures 146 degrees.

Step-by-step explanation:

To solve this question, start by solving for x. In order to solve for x, know that angle (10x+6) degrees and angle (3x-8) degrees is a supplementary angle. A supplementary angle is an angle in which the sum of two angles equal 180 degrees.

Since angle (10x+6) degrees and angle (3x-8) degrees is a supplementary angle, we know that the sum of the two angles equal 180 degrees. To find x, write an equation that sets angle (10x+6) degrees and angle (3x-8) degrees equal to 180 degrees. The equation will look like (10x+6) + (3x-8) =180. To start solving the equation, combine like terms, which will look like 13x-2=180. Next, add 2 to both sides, and the equation will look like 13x = 182. Then, divide both sides by 13, and x will equal 14.  

Since the x is now known, the actual degrees of the angles can be found. To find the actual degrees of both angles, start by plugging 14 into each angle equation.

For 10x+6, plug 14 into x, and the equation will look like 10(14)+6. Next, simplify the equation, and the answer will be 146 degrees. The 146 degrees is the obtuse angle because an obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.  

For 3x-8, plug 14 into x, and the equation will look like 3(14)-8. Next, simplify the equation, and the answer will be 34 degrees.The 34 degrees is the acute angle because acute angles measure less than 90 degrees.

To check if the angles are correct, add both angles, and the answer will equal 180 degrees, which then makes them supplementary angles.

Answer:

The second inequality is 2c + 5f ≤ 175

Step-by-step explanation:

Given - The staff person is setting up the escape room and will add code books and flashlights. She needs at least 50 of a combination of code books and flashlights. (c + f ≥ 50) Each code book costs $2 and each flashlight costs $5. The budget for escape room supplies is no more than $175.

To find - What is the equation of the second inequality?

Proof -

Let us assume that,

The number of code books = c

The number of flashlights = f

So,

Given that, She needs at least 50 of a combination of code books and flashlights

⇒ c + f ≥ 50

Now,

Given that, Each code book costs $2 and each flashlight costs $5.

So,

Cost of c code books = 2c

Cost of f flashlight = 5f

And Given, The budget for escape room supplies is no more than $175.

⇒2c + 5f ≤ 175

∴ we get

The second inequality is 2c + 5f ≤ 175

Answer:

A

Step-by-step explanation:

|-5 - 4|

The expression represents the absolute value of - 5 - 4 ;

-5 - 4 = - 9

|-5-4| = 9

Hence, the distance between the two points is 9.

Hence, the number line which shows the two points is A.

Answer:

x=4

Step-by-step explanation:

x=4

Step-by-step explanation:

first subtract 4 from both sides of the equation 2x+4-4=12-4

simplify 2x=8

divide both sides of the equation by the same term

2x=8

2 2

cancel the terms that are in the numerator and denominator then decide the numbers

x=4

Answer:35

Step-by-step explanation:

We add or subtract from left to right to find the value of the expression:

3

Because the result is negative, she is below the cave entrance (by 35 feet).

Answer:

25 ft

Step-by-step explanation:

Answer:

16 blocks

Step-by-step explanation:

equation: 0.8x = 12.8

if each block is 0.8oz and the total weight is 12.8oz then divide 12.8 by 0.8 and get 16! in other words, 0.8oz goes into 12.8oz 16 times, meaning there are 16 blocks that each weigh 0.8oz

Answer:

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of $2,275 and a standard deviation of $290.

This means that [tex]\mu = 2275, \sigma = 290[/tex]

Sample of 65:

This means that [tex]n = 65, s = \frac{290}{\sqrt{65}}[/tex]

Finding the mean to be at least $2,095 per month

This is 1 subtracted by the p-value of Z when X = 2095. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}[/tex]

[tex]Z = -5[/tex]

[tex]Z = -5[/tex] has a p-value of 0.

1 - 0 = 1

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

Answer:

C. 216°

Step-by-step explanation:

I calculated it logically

Answer:

biosphere then ecosystem then community populations then organisms

Answer:

you could make the graph really big and have it fo up by 1/5

Answer:

b. Function A has a greater rate of change than Function B has

Answer:

b. Function A has a greater rate of change than Function B has

Answer:

105.3

Step-by-step explanation:

cos(70)= 36/x

x=36/cos(70)

x=105.256958406

x~105.3

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

Explanation:

First factor out the GCF 7

7x^2 + 7x - 42

7*x^2 + 7*x + 7*(-6)

7(x^2 + x - 6)

Now focus on factoring x^2+x-6

We need to find two numbers that multiply to -6 and add to 1. Those values are 3 and -2. That means x^2+x-6 factors to (x+3)(x-2).

The 7(x^2 + x - 6) then turns into 7(x+3)(x-2)

The factor out front, the "7", is the integer factor. The other factors (x+3) and (x-2) are binomial factors.

7, (x + 3), and (x - 2) are the three factors of the given expression.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

We can factor out the common factor of 7 from the given expression to get:

[tex]7(x^2 + x - 6)[/tex]

Now, we need to factor the quadratic expression x^2 + x - 6. We can do this by finding two numbers that multiply to -6 and add to 1 (the coefficient of x).

The two numbers are 3 and -2, since 3 x -2 = -6 and 3 + (-2) = 1.

So we can write [tex]x^2 + x - 6[/tex] as (x + 3)(x - 2).

Substituting this back into the expression we have:

[tex]7(x + 3)(x - 2)[/tex]

Therefore, the three factors are 7, (x + 3), and (x - 2).

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ2

Answer:

64978256+8734965+709685+1 = 74,422,907

Answer:

y=-4x

Step-by-step explanation:

Answer:

194.81

Step-by-step explanation:

Answer:

The height of a large block is of 12.1 inches and of a small block is of 7.7 inches.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x i the height of a large block.

y is the height of a small block.

Taylor uses 4 large blocks and 2 small blocks to make a tower 63.8 inches tall.

This means that:

[tex]4x + 2y = 63.8[/tex]

Simplifying by 2:

[tex]2x + y = 31.9[/tex]

So

[tex]y = 31.9 - 2x[/tex]

Natsumi uses 9 large blocks and 4 small blocks to make a tower 139.8 inches tall.

This means that:

[tex]9x + 4y = 139.8[/tex]

Since [tex]y = 31.9 - 2x[/tex]

[tex]9x + 4(31.9 - 2x) = 139.8[/tex]

[tex]9x + 127.6 - 8x = 139.8[/tex]

[tex]x = 12.1[/tex]

[tex]y = 31.9 - 2x = 31.9 - 2(12.1) = 7.7[/tex]

The height of a large block is of 12.1 inches and of a small block is of 7.7 inches.

Answer:

16

Step-by-step explanation:

The  following is closest to the distance that the tip of the hand travels as it moves from 12 to 4 should be considered as the 16 cm.

Since the minute hans on the clock shown below has a length of 7.5 cm

And, the tip of the hand travels as it moves from 12 to 4

So,

For full rotation it should be like [tex]2\pi[/tex] radians

Since angle turned by minute hand in 5 minutes so it should be like [tex]= 2\pi \div 12[/tex] radians

So

[tex]= 7.5 \times 2.094[/tex]

= 15.7 cm

Learn more about distance here: https://brainly.com/question/13448007

Answer:

1

Step-by-step explanation:

since the two numbers are the same up and down so the answer will be always 1

Answer:

Option D, 8

Step-by-step explanation:

absolute value of -5 = 5

absolute value of 3 = 3

Therefore,

5 + 3 = 8

Hope this helps!

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

Explanation:

The ratio of yellow to red is 3:5. This could mean we have any of the following situations (pick one):

and so on. In general, we would have 3x yellow blocks and 5x red blocks. The ratio 3x:5x reduces to 3:5 when dividing both parts by x. The x is some positive whole number. The order is important because yellow must be listed first, then red second.

The same idea applies to the other ratio 7:2, which is the blue to red. In that case, we could have...

and so on. Notice that items in bold (in each list) have "10 red" as part of it. This is directly from the fact we multiply the 5 and 2 to get 5*2 = 10.

So we can connect the two ratios to have:  6 yellow, 10 red, 35 blue.

The ratio of yellow to blue is 6:35. This is the final answer. We cannot reduce this ratio any further due to 6 and 35 having no common factors other than 1. It's the same as saying the fraction 6/35 can't be reduced further.

Answer:

y = -1/8

Step-by-step explanation:

substitute 9 in for x in the equation

3(9) - 8y = 28

27 - 8y = 28

-27 from both sides to get

-8y = 1

divide both sides by -8

y = -1/8