Solve each of these equations. Explain or show your reasoning.
2(x+5)=3x+1
3y-4=6-2y
3(n+2)=9(6-n)

Answer:

29

Step-by-step explanation:

Use definition of conditional probability:

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

where

A = the student is a freshman,

B = the student is a male

From the table,

[tex]P(B)=\dfrac{4+6+2+2}{4+6+2+2+3+4+6+3}=\dfrac{14}{30}=\dfrac{7}{15}\\ \\P(A\cap B)=\dfrac{4}{4+6+2+2+3+4+6+3}=\dfrac{4}{30}=\dfrac{2}{15}[/tex]

So,

[tex]P(A|B)=\dfrac{\frac{2}{15}}{\frac{7}{15}}=\dfrac{2}{7}\approx 0.29=29\%[/tex]

Answer:

Practical Domain is the set of x values which are from zero to 230.

The maximum he can earn is $510.

Step-by-step explanation:

Domain is the set of x values. In this equation it is the number of videos sold that could be between zero and 230 ( considering the maximum number of people buying videos are 230).

It can be written as v lies between zero and 230 or in other words [0,230].

The maximum he can earn is

E(v)=50+2v

E(230)=50+2(230)

50+ 460= 510$

Answer:

last Monday is 27

Step-by-step explanation:

perfect square: 4, 9 , 16

2nd Thursday is a day >5 and < 14 day from the begining of the month, therefore the only day fit the criteria is 9th of the month.

last Monday is 27

Sun Mon Tue Wen Thu Fri Sat

                                  9     10  11

12    13      14     15     16     17  18

.........................................................

26    27

To find the date of the last Monday of the month, calculate the number of days between the second Thursday and the last Monday by considering the number of weeks in the month.

To find the date of the last Monday of the month, we need to determine the number of days between the second Thursday and the last Monday.

Let's assume that the second Thursday is on the 9th of the month.

Since there are 7 days in a week, the last Monday will be 9 + (7 * (number of weeks in the month) - 1).

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Yes, because (−1, −5) is below the line

The statement says:

y is less than or equal to negative three fourths times x minus 1:

[tex]y\leq -\frac{3}{4}x-1[/tex]

To know whether (−1, −5) is a solution to the inequality, let's substitute x and y-values into the inequality:

[tex]y\leq -\frac{3}{4}x-1 \\ \\ -5\leq -\frac{3}{4}(-1)-1 \\ \\ -5\leq -\frac{1}{4} \\ \\ -20\leq -1 \ True![/tex]

Given that the point lies on the shaded region, which is below the line, then the correct statement is:

Yes, because (−1, −5) is below the line

The graph of this problem is shown below.

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Answer:

The correct option is C).

Figure show the line with slope of -1/2 and a y-intercept of 3

Step-by-step explanation:

The equation of line is given by y=mx+c.

Where m is slope and c is y-intercept.

Given that line has slope

m=[tex]\frac{-1}{2}[/tex] and c=3

Thus equation of line will be

y=mx+c.

y=[tex]\frac{-1}{2}x+3[/tex]

To plot the line we need at least two points

Take x=0

y=[tex]\frac{-1}{2}x+3[/tex]

y=[tex]\frac{-1}{2}0+3[/tex]

y=3

The required point is A(0,4)

Take x=2

y=[tex]\frac{-1}{2}2+3[/tex]

y=2

The required point is B(2,2)

Using this points to graph the given equation of line

Figure show the line with a slope of -1/2 and a y-intercept of 3

The correct option is C).

Answer:

B

Step-by-step explanation:

I’m not sure but I put in c and got it wrong and that is the only other one that appears to be going on a negative slope

Answer:

Angle C is equal to 30.

Step-by-step explanation:

To find angle C, we have to find all the other angles first. They tells us the B ~= BAD ~= ADC. So, if we find ADC, we've found B and BAD as well. ADC is just 180 - 70 (the angle of ADE), which is 110. So, ADC, BAD, and B are equal to 110.

Remember, angles in a quadrilateral add up to 360. So, add all of the values of angles be have now and subtract from 360:

360 - (110 + 110 + 110)

360 - 330 = 30

Angle C should be equal to 30.

Hope this helped!

The average rate of change for the function on the interval from x = -2 to x = 2 is 1.

The average rate of change for a function on an interval is calculated by finding the slope of the line connecting the two endpoints of the interval. In this case, the interval is from x = -2 to x = 2.

To find the slope, we need to find the change in y values divided by the change in x values. In other words, we need to find the difference in f(x) values divided by the difference in x values.

Substituting the given function into the equation, we have:

slope = (f(2) - f(-2)) / (2 - (-2)) = (-3(2) + 2 - (-3(-2) + 2)) / (2 + 2)

= (-6 + 2 + 6 + 2) / 4

= 4 / 4 = 1.

Therefore, the average rate of change for the function on the interval from x = -2 to x = 2 is 1.

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Answer:

The actual width is 26 feet.

Step-by-step explanation:

Elise made a scale drawing of a shopping center. The scale of the drawing was 1.5 inches : 3  feet = 1.5 inches : 36 inches = 1 : 24.

Now, in the drawing, a bakery in the shopping center is 13 inches wide.

Therefore, the actual width of the bakery in the shopping center will be the increased value of 13 inches in the ratio 1 : 24.

So, the actual width is (13 × 24) inches = 312 inches i.e. 26 feet. (Answer)

The actual width of the bakery is calculated using the scale factor from the drawing. This can be achieved by multiplying the drawn width of the bakery (in inches) by the scale factor to get the actual width (in feet). Thus, the actual width of the bakery is 26 feet.

The subject of this question is scale factor in mathematics, specifically in the context of real-world scenarios, like a scale drawing. The scale of the drawing is 1.5 inches: 3 feet, which represents a scale factor of 2 feet per inch (because 3 feet/1.5 inches = 2 feet per inch). In the drawing, the bakery is stated to be 13 inches wide.

To convert this to the actual width, one should multiply the width in the drawing (13 inches) by the scale factor (2 feet per inch). Hence, the actual width of the bakery is 26 feet (because 13 inches * 2 feet per inch = 26 feet).

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Answer:

-4/15

Step-by-step explanation:

2/5-4/6=2/5-2/3=6/15-10/15=-4/15

Answer:

This tells us that the line with slope -1/5 passes through the two points (16, 7) and (11, 8).  The previously unknown x-coordinate is 16.

Step-by-step explanation:

A line with slope m = -1/5 passes through the points (x, 7) and (11, 8).  Find the value of x.

The slope of the line through these two points is found from the slope formula and is:

        8 - 7

m = ----------- and the value of m is given as -1/5.  Therefore,

         11 - x

           1

m = ----------- =  -1/5

         11 - x

Cross-multiplying, we get (1)(5) = -(11 - x), or 5 = -11 + x.  Then x = 16

This tells us that the line with slope -1/5 passes through the two points (16, 7) and (11, 8).  The previously unknown x-coordinate is 16.

Answer:

21 lb

Step-by-step explanation:

Divide the amount of Ryan's pumpkin by 2 then multiply it by 3. Ryan's pumpkin weighs 14 lb divided by 2 is 7 then 7 multiplied by 3 is 21.

To find the weight of Felipe's pumpkin, we first determine that Meg's pumpkin weighs 7 pounds, which is half of Ryan's pumpkin's weight of 14 pounds. We then multiply Meg's pumpkin's weight by 3 to find that Felipe's pumpkin weighs 21 pounds.

The question asks to determine the weight of Felipe's pumpkin given the weight relationships between Felipe's, Meg's, and Ryan's pumpkins. We are told that Ryan's pumpkin weighs 14 pounds and that Meg's pumpkin is half the weight of Ryan's. This means Meg's pumpkin weighs 7 pounds (14 lb / 2). Since Felipe's pumpkin weighs three times as much as Meg's, we have to multiply Meg's pumpkin's weight by 3 to find the weight of Felipe's pumpkin: 7 lb x 3 = 21 pounds.

So, Felipe's pumpkin weighs 21 pounds.

Answer:

Cost of a coffee is $2.5 and cost of a latte is $4.25.

Step-by-step explanation:

Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.

Given:

4 coffees and 12 lattes cost $61.

12 coffees and 7 lattes cost $59.75.

∵ 1 coffee cost = [tex]c[/tex]

∴ 4 coffees cost = [tex]4c[/tex] and 12 coffee cost = [tex]12c[/tex]

∵ 1 latte cost = [tex]l[/tex]

∴ 12 lattes cost = [tex]12l[/tex] and 7 lattes cost = [tex]7l[/tex]

Now, as per question:

[tex]4c+12l=61-----1\\12c+7l=59.75----2[/tex]

Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,

[tex]-3(4c+12l)=-3(61)\\\\-12c-36l=-183\\12c+7l=59.75\\+\\----------\\0-29l=-123.25\\\\l=\frac{-123.25}{-29}=\$4.25[/tex]

Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,

[tex]4c+12(4.25)=61\\\\4c+51=61\\\\4c=61-51\\\\4c=10\\\\c=\frac{10}{4}=\$2.5[/tex]

Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.

A system of linear equations can determine the cost of a coffee and a latte, which are found to be $2.50 and $4.25 respectively.

To solve the question how much does a coffee and a latte cost, we can treat it as a system of linear equations problem. We have the following two equations based on the given information:

4 coffees + 12 lattes = $61

12 coffees + 7 lattes = $59.75

Let's denote the cost of one coffee as c and the cost of one latte as l. We can now rewrite the equations as:

4c + 12l = 61

12c + 7l = 59.75

Multiplying the first equation by 3 gives us:

12c + 36l = 183

Now we can subtract the second equation from this new equation to find the cost of lattes:

(12c + 36l) - (12c + 7l) = (183 - 59.75)

29l = 123.25

l = 123.25 / 29

l = $4.25

Having found the cost of a latte, we can now substitute this back into the first original equation to find the cost of a coffee:

4c + 12(4.25) = 61

4c + 51 = 61

4c = 10

c = 10 / 4

c = $2.50

Therefore, a coffee costs $2.50 and a latte costs $4.25.

Answer:

A could work

Step-by-step explanation:

Because it is a square, all angles should be 90 degrees

Answer:Try B

Step-by-step explanation:

If its right please give me brainiest

Answer:

y=5

Step-by-step explanation:

5(8)-2y=30

40-2y=30

2y=40-30

2y=10

y=10/2

y=5

There is no specific requirement in the question, but I'm assuming you need to compute the time needed for Alexis reach 1,000,000 Instagram followers

Answer:

[tex]t= 462.82\ days[/tex]

Step-by-step explanation:

Exponential Growth

When the number of observed elements grows as the previous value multiplied by a constant ratio, we have exponential growth. The formula to model such situations is

[tex]\displaystyle f(x) = f_o(1 + r)^t[/tex]

Where [tex]f_o[/tex] is the initial value of f, 1 + r is the constant ratio, and t is the time expressed in half days (12 hours)

The initial value is 100 Instant followers, thus:

[tex]\displaystyle f(x) = 100(1.01)^t[/tex]

We need to know when the number of followers will reach 1,000,000. Setting up the equation

[tex]\displaystyle 100(1.01)^t=1,000,000[/tex]

Simplifying by 100

[tex]\displaystyle (1.01)^t=10,000[/tex]

Taking logarithms

[tex]\displaystyle t\ log(1.01)=log\ 10,000[/tex]

[tex]\displaystyle t\ log(1.01)=4[/tex]

Solving for t

[tex]\displaystyle t=\frac{4}{log(1.01)}=925.63[/tex] periods of 12 hrs

[tex]t= 462.82\ days[/tex]

Alexis will reach 1,000,000 followers in approximately 462.82 days.

To calculate how long it will take Alexis to reach 1,000,000 followers, we can use the following equation:

f(t) = f(1+r)^t

We know that Alexis currently has 100 followers (f=100), and she wants to reach 1,000,000 followers (f=1,000,000). We also know that her follower growth rate is 1% every 12 hours (r=0.01).

To solve for the time (t) it will take Alexis to reach 1,000,000 followers, we can use the following steps:

Divide both sides of the equation by f(1+r):

f(t)/f(1+r) = (1+r)^t

Take the natural logarithm of both sides of the equation:

ln(f(t)/f(1+r)) = t * ln(1+r)

Divide both sides of the equation by ln(1+r):

t = ln(f(t)/f(1+r)) / ln(1+r)

Substitute the known values into the equation:

t = ln(1,000,000/100) / ln(1+0.01)

Solve for t:

t = 462.82 days

Therefore, it will take Alexis approximately 462.82 days to reach 1,000,000 followers.

For such more questions on approximately

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The area of the parallelogram is equal to the product of its base and height, the area is the twice of πr,r or πr².

Step-by-step explanation:

The circumference of a circle = 2πr.

where r= radius of the circle.

If the circle is divided into equal sectors it will form a triangle.

If we arrange these triangle one by one we'll get a parallelogram. (refer the image).

Then the circumference of the circle becomes the base of the parallelogram and radius becomes the height.

∴Base= 2πr and Height=r.

The area of the parallelogram = Base×Height.

∴ The area for the circle turned parallelogram = 2πr×r.

⇒Area= 2πr².

In other words, twice the πr and r (or) πr².        

Thus area of a circle can be derived from the circumference formula.                                                            

Answer:

Product

Step-by-step explanation:

Since m<A ≅ m<C, AB = BC.

And...

x+4=3x-8

-2x=-12

x=6

Since AC=x, AC=6.

answer: AC = 6

Answer:

Length of AC is 6

Step-by-step explanation:

he side AC = x ;we need to find x; since ∠A = ∠C , It's an isosceles triangle . i.e ,the sides opposite to the angles ( AB and CB ) are also equal. thus ,side AB = x+4 ;CB = 3x-8 ;thus AB = CB or ,x+4 = 3x-8 ,2x = 12 ,x = 6 ; therefore the side AC is 6.

hope this helped

Answer:

a = 5

Step-by-step explanation:

3(a - 4) + 1 = 9 - a                 Distribute the 3 into a-4

3a - 12 + 1 = 9 - a                  Combine like terms

    [-12 and 1]

3a - 11 = 9 - a                         Add 11 to both sides to isolate 3a

     +11    +11

3a = 20 - a                             Add a to remove it and have all a

+a          +a

4a = 20                                  Divide by 4 to only have a

/4      /4

a = 5

Hi there! The answer should be a = 5. I have included an image with the process. Hope this helps for future reference!

P.S. It is okay with me if you save the image for help later. :)

Answer:

a² – 3ab + 5b²

Step-by-step explanation:

M – (4ab – 3b²) = a² – 7ab + 8b²

M = a² – 7ab + 8b² + 4ab – 3b²

M = a² – 3ab + 5b²

Answer:

image

Step-by-step explanation:

image

Answer:

Step-by-step explanation:

k² = -18 - 9k

k²  +9k + 18 = 0

k²  + 6k + 3k + 3*6 = 0

k(k + 6) + 3 (k + 6) = 0

(k + 6) (k + 3) =0

-2v²- v  +12 = -3v² + 6

-2v² - v + 12 + 3v² - 6 = 0

v² - v + 6 = 0

Answer: A. 1cm=0.3937 inch

              B. 61.417inch

               C. 5.1 ft

Step-by-step explanation:

A.

1inch=2.54cm

1/2.54=0.3937 inch

1cm=0.3937 inch

B. 156cm*0.3937=61.417 inch

C: 1 ft=12 inch

1:12=X:61.417

61.417 =12x

x=5.1 ft

In this question, you would be solving for x.

Solve for x:

2x + 4 = 14​

Subtract 4 from both sides

2x = 10

Divide both sides by 2

x = 5

Answer:

x = 5

Answer:

Step-by-step explanation:

Total number of guest = 182+18

= 200 guests

If 8 are using a table then the number of tables needed = 200/8

= 25tables

Answer: D

16*12 is 192. Plus the 6 for the bride and groom, and you get a total of 198.

Answer:

I have to say the first one sorry responded late  

GIVE BRAINIEST:

plz give me brainliest i almost got caught in class WHILE HELPING!!!

Answer:

i think its the first one

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

[tex]4x + 2(x-3) = 3x + x-12\\4x+2x-6=4x-12\\2x=-6\\x=-3[/tex]

Answer:

35 ⋅ 104

(I hope this helped)

Answer:

35 ⋅ 104

Step-by-step explanation:

this was on my test and got it right. i hope this helped tho

Answer:Let

n-------> the number of nickels

q------> the number of quarters

we know that

1\ quarter=\$0.25\\1\ nickel=\$0.05

so

0.05n+0.25q=1.60 ----> equation A

q=3n ----> equation B

substitute equation B in equation A

0.05n+0.25[3n]=1.60

0.05n+0.75n=1.60

0.80n=1.60

n=2

Find the value of q

q=3*2=6

therefore

The answer part a) is

the number of nickels are  2  and the number of quarters are 6

the answer Part b) is

The expressions that represents the number of quarters is

q=3n

Step-by-step explanation:

Answer:

36 ounces

Step-by-step explanation:

The common relationship between 24 ounces and 8 ounces is that 8 times x= 24.

24 divided by 8 is 3. Applying this same technique, we can figure out that 12 times 3 is 36.

Answer: 36 oz of oil

Ratio of oil to vinegar: 3:1

Step-by-step Explanation:

1)  The oil to vinegar ratio of the recipe is calculated my dividing the amount of oil (oz) by the amount of vinegar (oz)

         24 ÷ 8 = 3

      This 3 means you have 3 parts oil for every 1 part vinegar, ratio being: [tex]\frac{3}{1}[/tex]

2)

[tex]\frac{3}{1}[/tex] ⇒ [tex]\frac{?}{12}[/tex]

             To get the denominator from 1 to 12 you must multiply by 12.

            You must do the same to the numerator (top of fraction) meaning you mus multiply 3 (The ratio's nominator) by 12.

                     3 × 12 = 36

3)

The answer is 36 oz of oil

Answer Check:

To Check answer you can do 36 ÷ 12

And if it equals 3 than we know that the ounces of oil (36) over the ounces of vinegar (12) give us a ratio of 3:1  Which is the same ratio as used in the recipe. (24:8)

This is a simplified method of this problem.

Answer:

[tex]\displaystyle [a - b][a^2 + 2ab + b^2][/tex]

Step-by-step explanation:

Use the Difference of Cubes to factor this polynomial.

I am joyous to assist you anytime.