what is the product of the rational expressions shown below ? make sure your answer is in reduced form

This is an isoscele trapezoid, because the 2 sides are equal and the bases are parallel.

This means:

5x+45=20x

y=z

5x+45=20x, 45=15x, x=3

The sim of all angles is 360⁰.

2×20x+y+z=2×60+2y=360

60+y=280, y=z=120⁰

Answer: x=3, y=z=120⁰

well, as we can see from the tickmarks on the slanted sides, they're equal, meaning is an isosceles trapezoid, meaning the angles up above are equal to each other, and the angles down below are also equal to each other, namely.

z = y and 5x + 45 = 20x.

[tex]\bf 5x+45=20x\implies 45=15x\implies \cfrac{45}{15}=x\implies \boxed{3=x} \\\\\\ 5x+45\implies 5(3)+45\implies \blacktriangleright 60 \blacktriangleleft\impliedby 20x[/tex]

well, the sum of all interior angles in a polygon is

180(n - 2), where n = sides

this trapezoid has 4 sides, so the sum of all its interior angles is 180(4 - 2) = 360°.

well, we know that the angles above are 60° each, so that's 120° for those, and 360° - 120° = 240°, so "z" and "y" will evenly split 240°, namely ∡z = ∡y = 120°.

Answer:

3°

Step-by-step explanation:

20x + 5 = 9x - 2 + 40

Exterior angle is equal to the sum of interior angles

20x + 5 = 9x + 38

11x = 33

x = 3

Step-by-step explanation:

53-5 is 48

48/6 is 8

X=8

therefore it's 8

Answer:

x=8

Step-by-step explanation:

[tex]6x+5=53\\6x+5-5=53-5\\6x=48\\\frac{6x}{6}=\frac{48}{6} \\x=8[/tex]

The term 3x-4 in the equation is Option B. the length of the rectangle.

Step-by-step explanation:

Given that,

The equation can be formed as:

48 = 2(x) + 2(3x-4)

The term 3x-4 represent the length of the rectangle.

Final answer:

In the given equation, 3x - 4 represents the length of a rectangle where x is the width.

Explanation:

You asked what 3-4 represents in the equation 2(x) + 2(3x - 4) = 48, which describes the perimeter of a rectangle. In this equation, 3x - 4 represents the length of the rectangle. The length is given as 4 inches shorter than three times the width of the rectangle, which is represented by x. Therefore, the correct answer to your question is B. the length of the rectangle.

Answer:

A=138

Step-by-step explanation:

First you would multiply 18 times 8, which equals 144. Then you would subtract 6, which equals 138. So A=138.

Answer:

A = 138

Step-by-step explanation:

[tex] \frac{a + 6}{8} = 18 \\ a + 6 = 18 \times 8 \\ a + 6 = 144 \\ a = 144 - 6 \\ a = 138[/tex]

Answer:

5/12

1/6+1/4=5/12

To determine the fraction of puppies that are black or white, you add 1/6 and 1/4, which gives you 5/12 when using a common denominator of 12. Therefore, 5/12 of the puppies are either black or white.

To find out what fraction of the puppies in the pet store are black or white, we simply add the fractions that represent the black puppies and the white puppies together. Since 1/6 of the puppies are black and 1/4 are white, we can write:

[tex]\(\frac{1}{6} + \frac{1}{4}\)[/tex]

To add these fractions, we need a common denominator. The least common multiple of 6 and 4 is 12, so we convert each fraction to have a denominator of 12:

[tex]\(\frac{1}{6} = \frac{2}{12}\) and \(\frac{1}{4} = \frac{3}{12}\)[/tex]

Now, we add the fractions:

[tex]\(\frac{2}{12} + \frac{3}{12} = \frac{5}{12}\)[/tex]

Therefore, 5/12 of the puppies are either black or white.

Step-by-step explanation: Here, we want to find the mean, median, and mode for the data set. Let's begin by finding the mean.

The mean of a data set is equal to the sum of the set of numbers divided by how many numbers are in the set. So to find the mean of the data set shown here, let's begin by adding the numbers.

So we have

120 + 140 + 164 + 158 + 161 + 292 + 128 + 145 + 163 + 127 + 159 + 155.

This will be divided by how many numbers are in the set which is 12.

[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{120 + 140 + 164 + 158 + 161 + 292 + 128 + 145 + 163 + 127 + 159 + 155}{12}[/tex].

Adding the numbers, we get 1,912.

1,912 is divided by the number of numbers in the set or 12.

1,912 divided by 12 is about 159.3333.

So the mean of the set of data shown here is about 159.3333.

Next, let's find the median.

The median is the middle number in the data set when the data set is written from least to greatest. So let's write our data set from least to greatest.

So we have 120, 127, 128, 140, 145, 155, 158, 159, 161, 163, 164, 292.

In this data set however, notice that there is no one middle number. When there is no middle number in a data set, we take the two numbers that are in the middle and we take the average of those numbers.

In this set, the two middle numbers are 155 and 158 because if we group these numbers together, there are five numbers on either side of them.

Now, to find the average of 155 and 158, we simply add them together and divide by 2. So we have 155 + 158 which is 313. Now, 313 ÷ 2 is 156.5.

So the median of the data set is 156.5.

Finally, let's find the mode.

The mode is the number that appears most frequently in a data set.

Notice that each number in our data set appears only once so there is no mode.

Answer:

120, 140, 164, 158, 161, 292, 128, 145, 163, 127, 159, 155

List the following data from least to greatest:

120, 127, 128, 140, 145, 155, 158, 159, 161, 163, 164, 292

Median: 156.5  

Mode: There are no mode in the following data set.

Mean: 120 + 127 + 128 + 140 + 145 + 155 + 158 + 159 + 161 + 163 + 164 + 292 = 1,912/12 = 159.3

Answer:

1,00000

Step-by-step explanation:

Answer:

Dilation

Step-by-step explanation: im doing this in k-12 in math now

Dilation is NOT an isometry transformation.

We have to give that,

All the transformations are,

A.) Rotation

B.) Reflection

C.) Translation

D.) Dilation

Since, An isometry, such as a rotation, translation, or reflection, does not change the size or shape of the figure.

Dilation is not an isometry since it either shrinks or enlarges a figure.

Hence, Dilation transformations are NOT an isometry.

To learn more about the transformation visit:

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Answer: 0,0 if you’re talking about the line on the see answer bar? There isn’t anything shown, but I thought I’d (somehow) help?? Sorry, mate

Answer:

54 cans

Step-by-step explanation:

8 Tennis ball launchers.

Each hold 27 balls.

One can = 3 balls.

We have 27 * 8 total balls which is equivalent to 216.

We want to find 3/4 of the total which is 216 * 0.75.

This is then = to 162

Since one can holds 3 balls.

162/3 = 54 cans.

Therefore, to fill the total of 3/4 of launchers within a lesson, 54 cans of tennis balls will be needed.

Answer:

Number of cans is 6.75

Step-by-step explanation:

According to the question,

One launcher holds 27 tennis balls

3/4 launcher hold y tennis balls

Cross multiply

Y= 3/4×27

Y= 81/4

Y= 20.25 tennis balls

To determine the number of cans

One can holds 3 tennis balls

Z can holds 20.25 tennis balls

Cross multiply

3z= 20.25

Z= 20.25/3

Z=6.75 cans

Answer:

60

Step-by-step explanation:

Answer: There have 66.66..7% of Student own computer(s).

Step-by-step explanation:

What I did is make the whole school (270) be 100%, then I subtract from Whole school to own computer and the answer will be not own computer: 270 - 90 = 180, so there has 180 students who do not own computer, but we want to find the percentage. So we multiply 180 and 100, we will get 18,000! Then divide it to 270 and we will get 66.66..7, write it on top of 100, so it would be 66.66../100 which mean 66.66..% or 66.66..7%

Hopefully that’s helpful, if not then look the attachment include this answer to help better understanding. Good luck!

Answer:

37600 letters

Step-by-step explanation:

To get the answer you can multiply 940 and 40:

940*40 = 37600 letters

I'm guessing the "-ins" is "fifths". A fifth of 25 is 5 (25/5), so multiplying 5 by 4 will get you four-fifths. 20 students like football.

Answer:

=$506.25

Step-by-step explanation:

area=15×9=135

1m²=$3.75

135m²=?

135×3.75÷1=506.25

Answer:

17

Step-by-step explanation:

Pythagorean formula

a²+b²=c²

in other words, sidea²+sideb²=hypotenuse

8²+15²=c²

64+225=c²

289=c²

√289=√c²

17=c

Answer:

17

Step-by-step explanation:

Pythagorean formula

a²+b²=c²

in other words, sidea²+sideb²=hypotenuse

8²+15²=c²

64+225=c²

289=c²

√289=√c²

17=c

Answer:

1.66

Step-by-step explanation:

5/6 is equal to 0.83

A=wl=0.83·2=1.66

Answer:

10/6 or 1 2/3  

Step-by-step explanation:

To find the area of a rectangle you multiply the length by the width

2 x 5/6         2 is equivelent to 2/1 so make 2, 2/1 and then multiply the numerators and multiply the denominators

2/1 x 5/6

2x5=10      6x1=6             Now put it back in fraction form

10/6                                simplify

1 4/6                            simplify

1 2/3

Answer:

0.67 repeated or 2/3 gallons

Step-by-step explanation:

First you divide the gallons by hours because you are doing gallons per hour.

Then you get 0.66666667 and you convert that to fraction and that's your answer.

The scientist uses about 0.67 gallons of liquid for each hour of work, as per the calculation obtained by dividing the total gallons of liquid he uses (2 gallons) by the total hours he works (3 hours).

The question here is asking how much of a gallon of liquid a scientist uses each hour if he uses 2 gallons of liquid every 3 hours. To find this, we can start by establishing the ratio of gallons to hours, which is 2 gallons per 3 hours. To find out how much of a gallon each hour he uses, we simply divide the total gallons (2) by the total hours (3).

So, to do this, we take 2 gallons ÷ 3 hours. That equals approximately 0.67 gallons per hour. Therefore, the scientist is using around 0.67 gallons of liquid for each hour he works.

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Answer:

y = - [tex]\frac{3}{2}[/tex] x

Step-by-step explanation:

Given that x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = - 4, y = 6, thus

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{6}{-4}[/tex] = - [tex]\frac{3}{2}[/tex]

y = - [tex]\frac{3}{2}[/tex] x ← equation of variation

The interest paid is Rs 10000

The rate of interest  is  20%

Step-by-step explanation:

Step 1 :

Amount  borrowed by Mr. Satyal = Rs 50000

Amount repaid  = Rs 60000

Interest is charged on the principal amount and the amount repaid will be the sum of the interest paid plus the principal amount

Hence the interest paid is 60000 - 50000 = Rs 10000

Step 2:

The rate of interest is  calculated as follows :

Divide the interest calculated by the principal amount and is expressed as percentage.

Hence the interest rate  = [tex]\frac{10000}{50000}[/tex] × 100 = 20%

Step 3 :

The interest paid is Rs 10000

The interest rate  is  20%

Answer:

a.) 9+5x+4+8x+3

b.)13x+16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let w be the width

Length = w + 3

Perimeter = 40 m

2*(length + width) = 40

2*(w+3 + w) = 40

2* (2w + 3) =40

2w + 3 = 40/2

2w + 3 = 20

2w = 20-3

2w = 17

w = 17/2 = 8.5 m

w = 8.5 m

Length = w + 3 = 8.5 + 3 = 11.5m

Answer:

what lawn?

can you attach an image?

Step-by-step explanation:

Your question relates to probability in mathematics. Using various statistics techniques, we can solve these kinds of problems. However, you need to provide a specific question for further assistance.

The subject of your problem refers to probability, which is a field of mathematics. According to the data given, we can determine or estimate the random events' likelihoods, such as Ms. Zanetti receives text messages throughout her workday from her daughter’s daycare provider, the probability of being the first in line to get a prize, or the arithmetic of random numbers for samples selection in statistics, etc.

One common way we use in probability is setting up the equation and solve it. Another method is using statistical elements, such as mean, to solve the problem. For instance, If Leah receives, on average, 6 telephone calls in two hours, and there are eight 15-minute intervals in two hours, then Leah receives on average 0.75 calls in 15 minutes.

However, your question doesn't provide me enough information to solve for a specific answer. Please provide me with the specific question, so I can assist you better.

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The probability of receiving exactly 4 text messages is 3/16.

The probability that she receives fewer than 4 text messages per day is 13/16

The probability that she receives at least 2 text messages per day is 5/8.

How to find the probability ?

To find the probability that Ms. Zanetti receives exactly 4 text messages per day, we can simply look at the probability given in the table.

Probability that Ms. Zanetti receives fewer than 4 text messages per day:

P(fewer than 4 text messages) = P(0 text messages) + P(1 text message) + P(2 text messages) + P(3 text messages)

= (1/8) + (1/4) + (3/8) + (1/16)

= (2/16) + (4/16) + (6/16) + (1/16)

= 13/16

The probability that Ms. Zanetti receives at least 2 text messages per day:

P(at least 2 text messages) = P(2 text messages) + P(3 text messages) + P(4 text messages)

= 3/8 + 1/16 + 3/16

= 6/16 + 1/16 + 3/16

= (6 + 1 + 3)/16

= 10/16

= 5/8

989

Step-by-step explanation:

subtract 1000-5-6=989

The school cafeteria starts with 1000 chicken nuggets. Each student is given 5 nuggets. After six students, the numerical sequence showing the remaining nuggets is: 1000, 995, 990, 985, 980, 975, 970.

The school cafeteria begins with a total of 1000 chicken nuggets. Every student that passes through the lunch line is given 5 chicken nuggets. So, by the time the first student passes through, the cafeteria will have 1000 - 5 = 995 chicken nuggets.

If we continue with this pattern, the number of chicken nuggets remaining when each student passes through the line (including the starting amount) will be as follows: 1000, 995, 990, 985, 980, 975, 970.

So, the numeric sequence representing the number of chicken nuggets left after each student passes through the line, starting from zero, to 6 students are: 1000, 995, 990, 985, 980, 975, 970.

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Answer:

1) P(A) = 0.20

2) P(B) = 0.80

3) P(A and B) = 0.15

4) P(A or B) = 0.85

Step-by-step explanation:

Total number of customers = 20

Customers with enough cash = 4

Customers with credit card = 16

Customers with enough cash and credit card = 3

Part 1) Customer has enough cash

Probability is defined as the ratio of favorable outcomes to total number of outcomes. Here the favorable outcome will be the customers with enough cash which are 4 in number and total number of outcomes will be the total number of customers which is 20.

Therefore, the probability that a customer has enough cash will be:

[tex]P(A)=\frac{4}{20}=\frac{1}{5}=0.20[/tex]

Part 2) Customer with a credit card

Using the same formula we used in previous part. However, in this case the number of favorable outcomes will be the number of customers with a credit card i.e. 16

Therefore, the probability that a customer has a credit card will be:

[tex]P(B)=\frac{16}{20} =\frac{4}{5} =0.8[/tex]

Part 3) Customer has enough cash and a credit card

Using the same formula once again. However, in this case the number of favorable outcomes will be the customers with enough cash and a credit card which is 3.

Therefore, the probability that a customer has enough cash and a credit card will be:

[tex]P(A \cup B)=\frac{3}{20}=0.15[/tex]

Part 4) Customer has enough Cash or a Credit Card

We need to find union of two events i.e. P(A or B). The union of two events is defined as:

P(A or B) = P(A) + P(B) - P(A and B)

We calculated all these values in the previous parts. Substituting the values in above formula, we get:

P(A or B) = 0.2 + 0.8 - 0.15

P(A or B) = 0.85

Therefore, the probability that a customer has enough cash or a credit card is 0.85

Answer:

The answer is 12 and 4

Step-by-step explanation:

Answer:

Here is a screenshot of the finished work i've done!

Answer:

$712.50

Step-by-step explanation:

Answer:

=712.5

Step-by-step explanation: