Solve the equation log (x + 20) = 3

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.

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:

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:

Explanation:

1. Call A the event of selecting a student who takes Spanish and P(A) the corresponding probability:

2. Call B the event of selecting a student who takes biology and P(B) the corresponding probability:

3. The joint probability, P(A∩B), is the probability that a student takes Spanish and biology:

4. By the properties of probabilities, the probability of the event A or B is:

Final answer:

To find the probability of a student taking Spanish or Biology, you need to consider the students taking each subject and those taking both, applying the principle of inclusion-exclusion. The simplified probability is [tex]\frac{17}{28}[/tex].

Explanation:

The probability that a student selected at random takes Spanish or Biology can be calculated using the principle of inclusion-exclusion.

Find the total number of students taking Spanish or Biology: 550 + 700 - 400 (students taking both) = 850.

Calculate the probability: P(Spanish or Biology) = Number of students taking Spanish or Biology ÷ Total number of students = [tex]\frac{850 }{ 1400} = \frac{17}{28}[/tex].

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:

  corresponding angles are listed in the same order

Step-by-step explanation:

Corresponding angles are listed in the same order in the triangle names. Corresponding angles are congruent.

  ∠D ≅ ∠Z

  ∠E ≅ ∠X

  ∠F ≅ ∠Y

_____

This is why you have to carefully choose the names of triangles that you say are congruent. The sequence of the letters in the name carries significant information.

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:

The answer is 12 and 4

Step-by-step explanation:

Answer:

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

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

Answer: James will save $3 for 18 weeks before he can buy the telescope

Step-by-step explanation:

Answer:18weeks

Step-by-step explanation:

54/3=18

He will save up for 18weeks to buy the telescope

Answer:

Step-by-step explanation:

Enter a problem...

Algebra Examples

Popular Problems Algebra Solve for x 64^(4x)=16^(x+1)

64

4

x

=

16

x

+

1

Create equivalent expressions in the equation that all have equal bases.

4

3

(

4

x

)

=

4

2

(

x

+

1

)

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

3

(

4

x

)

=

2

(

x

+

1

)

Solve for

x

.

Tap for fewer steps...

Multiply

4

by

3

.

12

x

=

2

(

x

+

1

)

Simplify

2

(

x

+

1

)

.

Tap for fewer steps...

Apply the distributive property.

12

x

=

2

x

+

2

⋅

1

Multiply

2

by

1

.

12

x

=

2

x

+

2

Move all terms containing

x

to the left side of the equation.

Tap for fewer steps...

Subtract

2

x

from both sides of the equation.

12

x

−

2

x

=

2

Subtract

2

x

from

12

x

.

10

x

=

2

Divide each term by

10

and simplify.

Tap for fewer steps...

Divide each term in

10

x

=

2

by

10

.

10

x

10

=

2

10

Cancel the common factor of

10

.

Tap for fewer steps...

Cancel the common factor.

10

x

10

=

2

10

Divide

x

by

1

.

x

=

2

10

Cancel the common factor of

2

and

10

.

Tap for fewer steps...

Factor

2

out of

2

.

x

=

2

(

1

)

10

Cancel the common factors.

Tap for fewer steps...

Factor

2

out of

10

.

x

=

2

⋅

1

2

⋅

5

Cancel the common factor.

x

=

2

⋅

1

2

⋅

5

Rewrite the expression.

x

=

1

5

The result can be shown in multiple forms.

Exact Form:

x

=

1

5

Decimal Form:

x

=

0.2

Answer:

what lawn?

can you attach an image?

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

proof below

Answer:

B

it is very simple as that

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.

Answer:

About 13

Step-by-step explanation:

There's no equation shown, but you can guesstimate and say it's between 10 and 20, so about 13 makes sense

Answer:

37600 letters

Step-by-step explanation:

To get the answer you can multiply 940 and 40:

940*40 = 37600 letters

Answer: p=-2

Step-by-step explanation:

0.5(2p+4)x10=-4x10-2px10

5(2p+4)=-40-20p

10p+20-20=-40-20p-20

10p=-20p-60

10p+20p=-20p-60+20p

30p=-60

30p/20=-60/30

p=-2

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: 0,0 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

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]

Answer:

60

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.

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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:

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:

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

Answer:

1,00000

Step-by-step explanation:

Answer:

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

b.)13x+16

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Because finding mean is adding the numbers, then dividing by the number of numbers. They are both 2.5. So 2.5 - 2.5 =0

Bella: 2.5

Isaac: 2.5

The difference in their mean score is 0.

The mean is the arithmetic average of a set of given numbers.

Bella and Isaac take a weekly quiz in their math class.

Their grades on each of the ten first quarter quizzes are shown below.

The Bella grades are;

100, 90, 70, 80

The mean of Bella's grades is;

[tex]\rm Mean =\dfrac{Sum \ of \ all \ values}{Number \ of \ values}\\\\Mean =\dfrac{100+90+70+60}{4}\\\\Mean =\dfrac{320}{4}\\\\Mean =80[/tex]

The Isaac grades are;

100, 90, 80, 50

The mean of Isaac's grades is;

[tex]\rm Mean =\dfrac{Sum \ of \ all \ values}{Number \ of \ values}\\\\Mean =\dfrac{100+90+80+50}{4}\\\\Mean =\dfrac{320}{4}\\\\Mean =80[/tex]

The difference in their mean score is;

Difference = Bella's grades - Isaac's grades

Difference = 80 - 80

Difference = 0

Hence, the difference in their mean score is 0.

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