Tyler poured a total of 15 cups of water into 2 equal-sized bottles and filled each bottle. How much water was in each bottle?
||||
☆Thanks for the help guys!☆

Answer:

Step-by-step explanation:

The picture helps a lot in understanding what the problem is.  I could not understand what you typed.

OK, I can evaluate these log expressions.

A.  log  3  (base 27)  =  (1/3)   because   27^(1/3) = 3

B. log 27  (base 81) =  (3/4)   because  81^ (3/4) = 3^3 = 27

C. log 27  (base 9) = (3/2)   because   9^(3/2) = 27

D. log 27 ( base 1/3) =  -3    because  (1/3)^-3 = 27

Answer:

D,C,B,A

Step-by-step explanation:

Answer:

26 I guess

Step-by-step explanation:

90 - 64 = 26

am I wrong?

Answer:

3/21, 14.29%, or 14.29

Step-by-step explanation:

John has 21 total marbles, which includes 3 blue ones.

(That's 3 over 21)

Hope this helps!

The required probability of getting blue marble would be 1/7.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Given that bag contains 6 red marbles, 3 blue marbles, 7 yellow marbles, and 5 green marbles.

The total number of outcomes = 6 + 3 + 7 + 5 = 21

So n(S) = 21

Number of blue marbles = 3

Number of favorable outcomes, n(E) = 3

If John reaches into the bag and randomly pulls out a marble

So the probability of getting blue marble would be as:

⇒ P(E) = n(E)/n(S)

⇒ P(E) = 3/21

⇒ P(E) = 1/7

Therefore, the required probability of getting blue marble would be 1/7.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ5

Answer:

[tex]-25[/tex]

Step-by-step explanation:

Given: [tex]f(n)=2+(-3)(n-1)[/tex]

To find: tenth term of a sequence

Solution:

A sequence is a list of numbers in which order does matter and repetitions are allowed. A term is a number in the sequence.

For example in the sequence 1, 3, 5, 7, 9, ....,3 is the second term,9 is the fifth term.

To find the tenth term of a sequence, put n = 10 in [tex]f(n)=2+(-3)(n-1)[/tex]

[tex]f(n)=2+(-3)(n-1)\\=2+(-3)(10-1)\\=2+-3(9)\\=2-27\\=-25[/tex]

Answer:

-25

Step-by-step explanation:

The average rate of change for the function given in the table, over the interval 2 ≤ x ≤ 6 is: C) 15.

The average rate of a function over an interval can be calculated using the formula:

Average rate of change = change in y / change in x

When x = 2, y = 7

When x = 6, y = 67

Thus,

Average rate of change = 67 - 7 / 6 - 2

Average rate of change = 60 / 4

= 15

Option C is correct.

Answer:

-3x^2 +2x

Step-by-step explanation:

3x^2 -2x +3  subtract 6x^2-4x+3

3x^2 -2x +3

-(6x^2 -4x +3)

--------------------------

Distribute the minus sign

3x^2 -2x +3

-6x^2 +4x -3

--------------------------

-3x^2 +2x

Answer:

B) y=0

Step-by-step explanation:

Option B is the correct answer.

We need to determine the line of reflection that maps the pre-image segment AB to the image segment A'B'.

In a reflection transformation, all the points of an object are reflected or flipped on a line called the axis of reflection or line of reflection.

In the given figure we can see that line segment AB is reflected on the y=0 and transformed into A'B'.

Therefore, option B is the correct answer.

To learn more about the line of reflection visit:

https://brainly.com/question/18376051.

#SPJ2

Answer:

x= -7           x = 2

Step-by-step explanation:

f(x)= x^2 + 5x – 14

To find the x intercepts, set the function equal to zero

0 = x^2 + 5x – 14

Factor

What two numbers multiply to -14 and add to 5

7*-2 = -14

7+-2 = 5

0= (x+7) (x-2)

Using the zero product property

x+7 =0      x-2 =0

x= -7           x = 2

Answer:

44 %

Step-by-step explanation:

22 divided by 50 is 0.44 which is 44 percent

Answer:

40%

Step-by-step explanation:

We have been given that a right triangle with integer sides has area equal to 30. We are asked to find the length of hypotenuse of right triangle.

We know that area of triangle is half the product of its base length and height.

Since our given triangle is a right triangle, so its base and height will be legs of right triangle.

[tex]\frac{1}{2}\cdot\text{Base}\times \text{Height}=\text{Area}[/tex]

[tex]\frac{1}{2}\cdot\text{Base}\times \text{Height}=30[/tex]

[tex]\frac{1}{2}\cdot 2\cdot\text{Base}\times \text{Height}=30\cdot 2[/tex]

[tex]\text{Base}\times \text{Height}=60[/tex]

This means that product of two bases is 60.

Now we need to find two multiples of 60 such that they are make a right triangle.

Multiples of 60:

1, 60

2, 30

3, 20

4, 15

5, 12

6, 10

We know that (5, 12 and 13) is a Pythagoras triplet.

[tex]5^2+12^2=13^2[/tex]

[tex]25+144=169[/tex]

[tex]169=169[/tex]

Therefore, the hypotenuse of right triangle is 13 units.

Answer:

[tex](x + 11)2 + (y + 6)2 = 184[/tex]

Answer: The answer would be (x+11)2+(y+6)2=324

Step-by-step explanation: I just got it right on my test :)

Answer:

P (r) = 1/3

Step-by-step explanation:

Matt  85 - 80 = +(5)

Taylor 80-78 = - (2)

+5-2 = 3 rise so deviation is the same.

Another test taker in 4 outcomes less than taylor more than taylor less than matt more than matt, would also be the same as AnB union.

So their are 3 outcomes = 1/3 = 0.333 rep.

Answer:

7.5%

Step-by-step explanation:

75 is 7.5% of 1000

Hope this helps!

Step-by-step explanation:

The shed in Adam's backyard consists of two main figures: a rectangular prism and a triangular prism.

1. The rectangular prism has dimensions of: -Length = 5 feet

-Width = 6 feet

-Height = 8 feet

2. The triangular prism has dimensions of: -Base length = 3 feet

-Height of the triangle (perpendicular to the base) = 5 feet - Height of the prism = 8 feet

So, the shed consists of a rectangular prism with dimensions 5 fe by 6 feet by 8 feet and a triangular prism with base dimensions 3 by 5 feet and a height of 8 feet.

To compare the rates of temperature increase for the two engines, you can look at the slopes of their temperature vs. rotation speed graphs. To determine which engine was hotter at a rotation speed of 20 cycles per second, you can compare the corresponding temperature values on the graphs.

The question asks which engine's temperature increases more for each increase of 1 cycle per second. To determine this, we need to compare the rates of change of temperature for both engines. The rate of change of temperature for the first engine can be determined by finding the slope of the temperature vs. rotation speed graph. From the graph, it can be seen that the slope of the line connecting two points on the graph represents the rate of change of temperature per unit increase in rotation speed. By comparing the slopes of the two graphs, we can determine which engine's temperature increases more for each increase of 1 cycle per second.

To determine which engine was hotter when it rotated at 20 cycles per second, we can look at the corresponding temperature values on the graph. By finding the temperature value for each engine when the rotation speed is 20 cycles per second, we can compare the two temperatures to determine which engine was hotter.

Answer:

2(8+7)

Step-by-step explanation:

Answer:

(8+7)*2

(15)*2

30

Answer:

1 burger

Step-by-step explanation:Wings=$6.00

People, she is going to serve wings to=7

$6 times 7 is $42, $45 minus $42 is $3. Each burger is 3 dollars so she will only be able to serve one burger.

Answer:

m= 3, -3

Step-by-step explanation:

Hope this helps!

Answer:

13 < M = ≤7

Step-by-step explanation:

Answer:

97 pencils

Step-by-step explanation:

4074 (pencils) divided by 42 (sixth graders) is exactly 97 pencils.

Answer:

Each class received 97 pencils.

Step-by-step explanation:

4074 divided by 42 is equal to 97.

Answer:

8 racoons

Step-by-step explanation:

15/75=1/5 so 1/5 of the racoons are tagged. 1/5 of 40 is 8.

Answer:

From the law of sines, we have:

,

where x and y are the sides opposite to angles X and Y, respectively.

Substituting the known values, we have:

, thus

                          .

Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.

We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.

Thus, there is only one triangle that can be formed under these conditions.

Hope this helps!

Answer:

From the law of sines, we have:

,

where x and y are the sides opposite to angles X and Y, respectively.

Substituting the known values, we have:

, thus

                         .

Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.

We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.

Thus, there is only one triangle that can be formed under these conditions.

Hope this helps!

Step-by-step explanation:

Answer:

Probability that the student scored between 455 and 573 on the exam is 0.38292.

Step-by-step explanation:

We are given that Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118.

Let X = Math scores on the SAT exam

So, X ~ Normal([tex]\mu=514,\sigma^{2} =118^{2}[/tex])

The z score probability distribution for normal distribution is given by;

                              Z  =  [tex]\frac{X-\mu}{\sigma}[/tex] ~  N(0,1)

where, [tex]\mu[/tex] = population mean score = 514

           [tex]\sigma[/tex] = standard deviation = 118

Now, the probability that the student scored between 455 and 573 on the exam is given by = P(455 < X < 573)

       P(455 < X < 573) = P(X < 573) - P(X [tex]\leq[/tex] 455)

       P(X < 573) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{573-514}{118}[/tex] ) = P(Z < 0.50) = 0.69146

       P(X [tex]\leq[/tex] 2.9) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{455-514}{118}[/tex] ) = P(Z [tex]\leq[/tex] -0.50) = 1 - P(Z < 0.50)

                                                         = 1 - 0.69146 = 0.30854

The above probability is calculated by looking at the value of x = 0.50 in the z table which has an area of 0.69146.

Therefore, P(455 < X < 573) = 0.69146 - 0.30854 = 0.38292

Hence, probability that the student scored between 455 and 573 on the exam is 0.38292.

Final answer:

To find (f - g)(x), subtract g(x) from f(x) which gives (f - g)(x) = (3x - 1) - (x + 2), resulting in 2x - 3 as the correct answer.

Explanation:

To find (f - g)(x), you need to subtract the function g(x) from the function f(x). The given functions are f(x) = 3x - 1 and g(x) = x + 2.

Subtraction of the functions is performed as follows:

(f - g)(x) = f(x) - g(x)

(f - g)(x) = (3x - 1) - (x + 2)

(f - g)(x) = 3x - 1 - x - 2

(f - g)(x) = 2x - 3

The correct answer for (f - g)(x) is 2x - 3, which corresponds to option B.

Answer:

The length of side F'G' is 17.5 units

Step-by-step explanation:

Given

Quadrilateral, EFGH.

EF = 2 units

EH = 6 units

GH = 5.5 units

FG = 7 units

Scale Factor = 2.5

Required

Length of F'G'

To dilate a shape means to increase or reduce the size of that shape using a given scale factor.

The length of the new shape is calculated by multiplying the scale factor by the length of the old shape.

The question requires that we calculate F'G'.

Here, F'G' is formed as a result of the dilation of side FG.

From the formula stated above.

F'G' = Scale Factor * FG

From the given diagram, FG = 7 units

And scale factor = 2.5

So, F'G' = 2.5 * 7 units

F'G' = 17.5 units

Hence, the length of side F'G' is 17.5 units

x + y = 64

x = y + 6

y + 6 + y = 64

2y + 6 = 64

2y = 58

x = y + 6

x = 28 + 6

34 + 28 = 64

34 - 28 = 6

Final answer:

The two numbers are 35 and 29, with the larger number being 35 and the smaller number being 29, which is 6 less than 35.

Explanation:

To find the two numbers whose sum is 64, with the smaller number being 6 less than the larger number, we can use a system of equations. Let the larger number be represented by x and the smaller number by y.

From the problem statement, we have two equations:

Substituting the second equation into the first gives us:

x + (x - 6) = 64

This simplifies to:

2x - 6 = 64

Adding 6 to both sides gives us:

2x = 70

Dividing both sides by 2 gives us:

x = 35

Since y = x - 6, we find that:

y = 35 - 6 = 29

Therefore, the larger number is 35 and the smaller number is 29.

Answer:

It should be 1.

Step-by-step explanation:

It stating that in a bunch of 25 students, only 8 are at least 65 inches or shorter, while the other ten, are at least 69 inches or taller, meaning there is nothing in between.

The probabilities described  P(less than or equal to 65 inches and greater than or equal to 69 inches).

We have given that,

In a class of 25 students, 8 students have heights less than 65 inches and 10 students have heights of 69 inches or more.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

It states that in a bunch of 25 students, only 8 are at least 65 inches or shorter, while the other ten, are at least 69 inches or taller, meaning there is nothing in between.

Therefore the probabilities described  P(less than or equal to 65 inches and greater than or equal to 69 inches).

To learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ2

Answer:

Let say 75% of  cars older than age  = Y  years

than 25 % cars of age less than Y Years

Z score corresponding to 25 %  =  -0.674

Z score = (Value - Mean) /SD

Value = Y

Mean = 8

SD = 3.2

Z score = -0.674

-0.674 = (Y - 8)/3.2

=> Y =5.84 Years

=> Y ≈ 5.9 Years

Approximately 75% of cars driven by company employees are older than  about 5.9 years

Learn More:

Assume that adults have iq scores that are normally distributed with ...

brainly.in/question/11133397

Use technology or the z-distribution table on pages A-1 to A-2 in the ...