Click on each box and type in a number. Backspace to erase.Question: The ages, in years, of 6 cars in a parking lot are 6, 14, 5, 1, 8, and x. If the average (arithmetic mean) of the 6 ages is 7 years, what is the value of x ?x = 8

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

We have,

The given triangle is an isosceles triangle.

So,

The angles opposite to the equal sides are equal.

The other angle = 90

Now,

The sum of the triangle = 180

So,

90 + 2x = 180

2x = 180 - 90

2x = 90

x = 45

Now,

In a right triangle with ∠A = 90 degrees, ∠B = 45 degrees, and ∠C = 45 degrees, we have a special case known as a 45-45-90 triangle.

In a 45-45-90 triangle, the sides are in a specific ratio: 1 : 1 : √2.

Let's use this ratio to find the lengths of the sides:

Since AB = AC, let's denote both lengths as x.

AB = AC = x

BC is the hypotenuse, which is √2 times the length of either leg:

BC = √2x

So, the lengths of the sides are:

AB = AC = x

BC = √2 * x

Therefore,

AB and AC are equal in length and are represented by x, while BC (the hypotenuse) is √2 times the length of either leg.

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The polynomial expression would be 30G + 15S.

What is the polynomial expression?

A polynomial expression is an algebraic expression that is made up of one or more terms, where each term is the product of a constant coefficient and one or more variables raised to a non-negative integer power.

Elizabeth earns a $30 bonus for each gold membership she sells, and a $15 bonus for each silver membership she sells. Let G be the number of gold memberships she sells and S be the number of silver memberships she sells.

We can express Elizabeth's total bonus as:

$30G + $15S

This is a polynomial expression because it is a sum of two or more terms, each term being the product of a constant coefficient and a non-negative power of a variable.

It is also a linear polynomial expression because the highest power of the variable is 1.

Hence, the polynomial expression would be 30G + 15S.

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Answer:

304 IN

Step-by-step explanation:

total inches needed for necklace : 38 x 5 = 190

total inches needed for necklace : 38 x 3 = 114

190 + 114 = 304 inches

The sale price of the green beans represents a decrease of 16.67% compared to the original price of the beans.

To find the percent increase or decrease in the price of a can of green beans during the sale, we need to compare the sale price with the original price.

During the sale, the green beans were sold at a rate of 3 cans for $1.25, or approximately 41.67 cents per can:

Sale price per can = $1.25 / 3 = $0.4167 ≈ 41.67 cents

The original price of a can of green beans was 50 cents.

To find the percent increase or decrease in the price, we can use the following formula:

Percent increase or decrease = ((New value - Old value) / Old value) x 100%

Substituting the values, we get:

Percent increase or decrease = ((0.4167 - 0.5) / 0.5) x 100%

Percent increase or decrease = (-0.0833 / 0.5) x 100%

Percent increase or decrease = -16.67%

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Symmetry is one of the fundamental concepts of geometry. A symmetry of an object is a feature that is preserved when the object undergoes a certain transformation. When it comes to curves, there are four types of symmetry that they can possess: point symmetry, line symmetry, polar symmetry, and periodic symmetry.
(i) r=1+cosθ

This curve has point symmetry about the pole (0, 0) because it is unchanged when rotated by 180 degrees.

(ii) r=3cos(2θ)

This curve has line symmetry about the polar axis because it is unchanged when reflected across this axis.

(iii) r=1−sinθ

This curve has polar symmetry about the polar axis because it is unchanged when reflected across this axis.

(iv) r=3sin(2θ)

This curve has periodic symmetry of order 4 because it repeats itself every 90 degrees. This means that it has point symmetry about the pole, line symmetry about the polar axis, and polar symmetry about the polar axis.

In summary, the curves have the following symmetries:

(i) point symmetry
(ii) line symmetry
(iii) polar symmetry
(iv) point symmetry, line symmetry, and polar symmetry.

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Answer:

Left 2, up 1

Step-by-step explanation:

If you use slope, remember rise/run. You go up then left.

Answer: left 2 up 1

Step-by-step explanation: I did it by using the rule rise over run so it goes up then left . Hope it helps

In a hypothesis, when the t value is 7.14 and the critical value is 6.10, the decision that should be made is to reject the null hypothesis.

It should be noted that a hypothesis is simply used to get information about a certain thing.

In this case, in a hypothesis, when the t value is 7.14 and the critical value is 6.10, the decision that should be made is to reject the null hypothesis.

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Answer: The conversion of a raw score to a scaled LSAT score is a complex process that involves several steps. The Law School Admission Test (LSAT) is a standardized test used by law schools in the United States and Canada to assess applicants' critical thinking, reading comprehension, and analytical reasoning skills.

Here's a general overview of the process of converting a raw score to a scaled LSAT score:

- Raw score calculation: The raw score is the number of questions answered correctly on the LSAT. There is no penalty for incorrect answers, so it is in your best interest to answer every question, even if you are unsure of the correct answer.

- Equating: The LSAT is equated to account for differences in difficulty between test forms. This means that the raw scores of test-takers are adjusted so that the scaled scores are consistent across different test forms.

- Scaling: The raw scores are then scaled to a range of 120 to 180, with a median score of 150 and a standard deviation of 10. This scaling process allows for meaningful comparisons between test-takers, regardless of the difficulty of the specific test form they took.

It is important to note that the LSAT score is not based solely on the number of questions answered correctly, but also on the difficulty of the questions. This means that a high raw score on a particularly difficult test form may result in a lower scaled score than a lower raw score on a less difficult test form.

Step-by-step explanation:

Answer:

Luca

Step-by-step explanation:

Juan 566/734 = 0.7711

Luca 7/9= 0.7777

Luca has a greater percentage

Answer:

6px

Step-by-step explanation:

hope this help

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

1/6 + 5/8

First find the lcm of 6 and 8

l c m of 6 and 8 =24

convert each fraction to its equivalent with 24 as its denominator

That is;

1/6 = 4/24

5/8 = 15/24

Then add

4/24 + 15/24

= 19/24

The y-intercept is 700 and the interpretation is the daily fixed cost to rent the building and equipment is $700

The function

From the question, we have the following function that can be used in our computation:

C = 225p + 700

Where

To calculate the y-intercept of the function, we set p to 0

This means that p = 0

Substitute p = 0 in the equation

C = 225 * 0 + 700

Evaluate the product

C = 0 + 700

Evaluate the sum

C = 700

So, we have

y-intercept = 700

The interpretation

In (a), we have

y-intercept = 700

This represents the initial value

So, the interpretation is the fixed cost for renting the building

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Answer:

x= 0.41

Step-by-step explanation:

tan 9° =\(\frac{x}{2.6}\)

x= 2.6 tan9°  (cross multiply)

x= 0.41          (solve trignomatic function)

Answer:

Step-by-step explanation:

There is one value 9 which is a lot less than the rest of the values.

I would the median is the best.

Answer:

3x(2x - 3)

Step-by-step explanation:

Given

y = 6x² - 9x ← factor out 3x from each term

  = 3x(2x - 3)

First we need to place the j on one side only

So we can move "j" from left to right, doing the opposite operation

We can do the same for -9

We can operate the terms that have j and do the sum to the both sides

Then, to leave

Answer:

hello your question is incomplete attached below is the missing table

answer = $48700

Step-by-step explanation:

Calculate the total account receivable in each age category

1) not yet due age category

 = $4000 + $4000 + $7000

 = $15000

2) up to 1 year age category

  = $20500 + $7000

  = $27500

3) more than 1 year age category

  = $6200

therefore the total amount of  account receivables =  15000 + 27500 + 6200  = $48700

Answer:

a 6

b 5

c 5

Step-by-step explanation:

of means multiply

(a) 1 / 5 of 30

1/5 * 30

30/5 = 6

(b) 1 / 4 of 20

1/4 * 20

5

(c) 1 / 3 of 15

1/3 * 15

5

Answer:String A is 35 cm long, string B is 5 times as long as string A, then string B is 35·5=175 cm long. In total both strings have length 35+175=210 cm.

The total length of string needed for 17 identical decorative bottles is 210*17=3570 cm that is 35.7 m.

Answer: 35.7 m

Step-by-step explanation:

Answer:

i think it is the 2nd one and the 5th one.

Step-by-step explanation:

hope this helped!

p.s it would be cool if you gave me brainliest

Answer:

Step-by-step explanation:

y ≤ 2x + 2  ⇒   2x → line increasing,  ≤ → solid line, y≤ → shade below line  

¹/₂x + y < 7

y < -¹/₂x + 7 ⇒  -¹/₂x → line decreasing,  < → dashed line, y< → shade below line  

y − 3 ≥ 0

y ≥ 3  ⇒  0x → line parallel to X-axis,  ≥ → solid line, y≥ → shade above line  

\(\{2,3\}\) is a set containing two elements - numbers 2 and 3

\(\{\{2,3\}\}\) is a set containing one element - a set \(\{2,3\}\)

Answer:

k > 13 OR K < 4

Step-by-step explanation:

-1 plus 14 is 13

19 minus 15 is 4

Answer:

x = 5/8

Step-by-step explanation:

Isolate the variable by subtracting 1/8 from both sides:

3/4 - 1/8 = 5/8

Now, the equation is:

x = 5/8

Therefore, the answer is 5/8

The degree measure of the largest angle is 72° in the triangle.

We have, The sum of two angles of a triangle is 6/5 of a right angle.

One of these two angles is 30° larger than the other.

Let A and B be the two angles of the triangle such that A = B + 30°.

We know that the sum of three angles in a triangle is 180°.

⇒ A + B + C = 180°

⇒ B + 30° + B + C = 180°

⇒ 2B + C = 150°

We also know that the sum of two angles of a triangle is 6/5 of a right angle.

⇒ A + B = 6/5 × 90°

⇒ B + 30° + B = 108°

⇒ 2B = 78°

⇒ B = 39°

C = 150° - 2B ⇒ 72°

A = B + 30° ⇒ 39° + 30° ⇒ 69°

Therefore, the degree measure of the largest angle in the triangle is 72°.

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Answer:

problem 2

Step-by-step explanation:

The feeding time constraint for cats can be written symbolically as:

12 minutes/day * number of cats <= 8 hours/day

The feeding time constraint for dogs can be written symbolically as:

20 minutes/day * number of dogs <= 8 hours/day

The pampering time constraint for cats can be written symbolically as:

16 minutes/day * number of cats <= 8 hours/day

The pampering time constraint for dogs can be written symbolically as:

20 minutes/day * number of dogs <= 8 hours/day

Therefore , the solution to the given problem of unitary method comes out to be 34 marbles are therefore on the sixth line.

The term unitary refers to a single or unique or variable unit. As a result, the purpose of this strategy is to construct values with regard to a single unit. For instance, if a car drives 44 kilometres on two litres of fuel, the unitary technique can be used to determine how many kilometers it will travel on one.

Here,

Every subsequent line, beginning with one, contains two less characters than the one before it.

This signifies that your starting line contains three marbles. The 3 marbles are multiplied by 2 to get 3x2=6, and the result is subtracted to get 6-2=4.

This implies that you will receive 4 marbles for the following line.

As a result, in order to determine the sixth line, you must first determine the fifth line by counting the number of marbles on the fourth line because your diagram does not include a fifth line.

(4) = ten marbles.

10×2=20

20-2=18

(5) line = (18)

18×2=36

36-2=34

Therefore , the solution to the given problem of unitary method comes out to be 34 marbles are therefore on the sixth line.

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The required probability of Peter= 1 /7 and Mary = 6/7 and Game lasts=4/7, Peter and Marry takes the role =1/7

a)Suppose Peter takes the first roll. What is the probability that Mary wins and her last roll is a six?  

Probability that Mary wins =4/6x1/6+4/6x2/6x4/6x1/6    

  
=4/6x1/6x(1+4/6x2/6+4/6x2/6x4/6x2/6)

=4/6x1/6x1/1-8/36

=4/28

=1/7

hence, the obtained probability =1/7      


b) Suppose Mary takes the first roll. What is the probability that Mary wins?

The  probability obtained as shown below.

P(Mary wins )=4/6+2/6x4/6x4/6

=4/6x(1+2/6x4/6+2/6x4/6x2/6x4/6

=4/6x1/1-8/36

=24/28

=6/7
hence, the obtained  probability = 6/7

           
c) What is the probability that the game lasts an even number of rolls?
 

 p( even throws with peter starting)  =4/6x4/6+4/6x2/6x4/6x4/6

=4/6x4/6x1/1-8/3

=4/7

p( even throws with Mary starting)=4/6x2/6+4/6x4/6x4/6x2/6

=4/6x2/6x(1+4/6x2/6+4/6x2/6x4/6x2/6

   
=4/6x2/6x1/1-8/36

=4/28

=1/7

hence, the obtained probability= 1/7 if Mary starts the game, and the obtained probability =4/7 if peter starts the game.



d) The event being observed is that first throw is taken by peter, but eventually Mary wins, with a throw of 6 the  probability obtained as  shown below.      

p( Mary wins)=4/6x1/6+4/6x2/6x4/6x1/6

        
=4/6x1/6x(1+4/6x2/6+4/6x2/6x4/6x2/6

=4/6x1/6x1/1-8/36=4/28          

     
=1/7      

Hence, the obtained probability is 1/7.  
       
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Answer:

Given function:

\(q(x)=9x^2-24x+16\)

To factor a quadratic in the form \(ax^2+bx+c\),  find two numbers that multiply to \(ac\) and sum to \(b\):

\(ac=9 \cdot 16=144\)

Two numbers that multiply to 144 and sum to -24 are: -12 and -12

Rewrite \(b\) as the sum of these two numbers:

\(\implies q(x)=9x^2-12x-12x+16\)

Factorize the first two terms and the last two terms separately:

\(\implies q(x)=3x(3x-4)-4(3x-4)\)

Factor out the common term \((3x-4)\):

\(\implies q(x)=(3x-4)(3x-4)\)

Therefore:

\(\implies q(x)=(3x-4)^2\)