Which statements are always true regarding the diagram? Select three options.

m∠5 + m∠3 = m∠4
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°

The profit that Vaughn would make if he charges $3.80 per bag is $27.20.

The first step is to determine the total pieces of candy that Vaughn plans to sell.

Total pieces of candy = number of pieces in each bag x total number of bags

Total pieces of candy = 24 x 15 = 360

The second step is to determine the total number of bags he has to buy.

Number of bags he is going to buy = total pieces of candy he is going to sell / number of pieces in each bag

Number of bags he is going to buy = 360 / 18 = 20 bags

The third step is to determine the total cost of buying 20 bags

Total cost = number of bags he is going to buy x cost per bag

Total cost = 20 x $3.20

Total cost = $64

The next step is to determine the total revenue from making 24 bags.

Total revenue = price per bag x total number of bags

Total revenue = $3.80 x 24

Total revenue = $91.20

Profit = revenue - cost

$91.20 - $64 = $27.20

To learn more about profit, please check: https://brainly.com/question/26181966

#SPJ1

The fractions 25/150, 28/154, or 27/62 aren't equivalent.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In order to know if they're equivalent fractions, we can convert them to percentage. This will be:

25/150 × 100 = 16.7%

28/154 × 100 = 18.2%

27/62 × 100 = 43.5%

In this case they're not equivalent.

Learn more about fractions on:

brainly.com/question/78672

#SPJ1

Compounded quarterly; annual interest rate is 7.875%

========================================================

Explanation:

Let's say we are depositing P = 100 dollars, and we leave it in the account for a timespan of t = 1 year.

This will apply for options A through E.

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

If we go with option A, then we would have n = 1 and r = 0.08

Use the compound interest formula to get the following:

A = P*(1+r/n)^(n*t)

A = 100*(1+0.08/1)^(1*1)

A = 108

We'll have $108 dollars in the account at the end of 1 year if we go with option A. The amount of interest only is A-P = 108-100 = 8 dollars.

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

For option B, we have: n = 4 and r = 0.07875

A = P*(1+r/n)^(n*t)

A = 100*(1+0.07875/4)^(4*1)

A = 108.110625948487

A = 108.11

So far option B is slightly better since you've earned an extra $0.11, aka 11 cents.

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

For option C, we have: n = 4 and r = 0.07875

A = P*(1+r/n)^(n*t)

A = 100*(1+0.0775/12)^(12*1)

A = 108.031299777277

A = 108.03

This amount is less compared to the $108.11 with option B. Therefore, option B is still the best so far.

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

For option D, we have: n = 52 and r = 0.07625

A = P*(1+r/n)^(n*t)

A = 100*(1+0.07625/52)^(52*1)

A = 107.917207523206

A = 107.92

This is worse compared to option C.

Option B is still the best so far.

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

For option E, we have: n = 365 and r = 0.075

A = P*(1+r/n)^(n*t)

A = 100*(1+0.075/365)^(365*1)

A = 107.787584644

A = 107.79

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

Here's a table comparing the balance after 1 year for options A through E. Those balances all have a starting point of $100 as the deposit.

[tex]\begin{array}{|c|c|} \cline{1-2}\text{Option} & \text{Balance after 1 year}\\\cline{1-2}A & \$108\\\cline{1-2}\boldsymbol{B} & \boldsymbol{\$108.11}\\\cline{1-2}C & \$108.03\\\cline{1-2}D & \$107.92\\\cline{1-2}E & \$107.79\\\cline{1-2}\end{array}[/tex]

Option B is the best choice earning the most ($108.11) if you deposit $100.

There's nothing special about the $100, so feel free to change it to something else to try other starting deposits. You'll find that option B will still provide the highest return.

Answer:

B

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

Use the Compound Interest Formula with the given values for each option to calculate a final equation where A equals a multiple of P.  

The option with the greatest coefficient of P is the account which yields the highest interest after one year, and is therefore the best deal.

Given:

Substitute the given values into the formula:

[tex]\implies \sf A=P\left(1+\dfrac{0.08}{1}\right)^1[/tex]

[tex]\implies \sf A=1.08P[/tex]

Given:

Substitute the given values into the formula:

[tex]\implies \sf A=P\left(1+\dfrac{0.07875}{4}\right)^{4 \cdot 1}[/tex]

[tex]\implies \sf A=P\left(1.0196875)^4[/tex]

[tex]\implies \sf A=1.081106259P[/tex]

Given:

Substitute the given values into the formula:

[tex]\implies \sf A=P\left(1+\dfrac{0.0775}{12}\right)^{12\cdot 1}[/tex]

[tex]\implies \sf A=P\left(1.006458333\right)^{12}[/tex]

[tex]\implies \sf A=1.080312998P[/tex]

Given:

Substitute the given values into the formula:

[tex]\implies \sf A=P\left(1+\dfrac{0.0765}{52}\right)^{52\cdot 1}[/tex]

[tex]\implies \sf A=P\left(1.001471154\right)^{52}[/tex]

[tex]\implies \sf A=1.079441506P[/tex]

Given:

Substitute the given values into the formula:

[tex]\implies \sf A=P\left(1+\dfrac{0.075}{365}\right)^{365\cdot 1}[/tex]

[tex]\implies \sf A=P\left(1.000205479\right)^{365}[/tex]

[tex]\implies \sf A=1.077875846P[/tex]

[tex]\begin{array}{|c|l|}\cline{1-2} \sf Answer\;Option & \sf Coefficient\;of\;P\\\cline{1-2} A & 1.08\\\cline{1-2} B & 1.081106259\\\cline{1-2} C & 1.080312998\\\cline{1-2} D & 1.079441506\\\cline{1-2} E & 1.077875846\\\cline{1-2} \end{array}[/tex]

Therefore, the option with the greatest coefficient of P and therefore the best deal is option B.

Answer:

z = 3.125 * x

Step-by-step explanation:

since y is 80 percent of z, we can represent it in the form of a ratio as 80:100.

Simplify it down: 80:100 = 8:10 = 4:5

therefore x:y = 2:5
and y:z = 4:5

"y" is common in both of these ratios. Therefore we now have to make the value of Y same in both of the ratios. Therefore we find the least common multiple of both the y values which is 5 and 4. It is 20.

Now we make the value of y in both the ratios 20. So we need to multiply 5 in 2:5 by 4. Since we multiplied one of the values by 4 we have to multiply the other one as well (2*4). Now our new ratio for x:y is 8:20. Do the same for the other ratio. the other ratio is 4:5. the y value here is 4. 4 needs to be multiplied by 5 to become 20. Therefore multiply 4 by 5 and multiply 5 by 4. our new ratio for y:z is 20:25

As  you can see both the y values are similar now.

x:y = 8:20

y:x = 20:25

therefore we can now write x:y:z as 8:20:25

that also means that x:z is now 8:25.

Now we know that when x is 8 z is 25. in this case. 8 and 25 are directly proportional.

therefore we can write an equation as
25 = k*8
k = 25/8

k = 3.125

therefore z = 3.125 * x

Answer: The correct integer is 2.

Step-by-step explanation:

4s − 14 = −6

4(2) − 14 = −6

8 - 14 = -6

-6 = -6    .np it was tough but here! brainliest pls ?

Answer:

$33

Step-by-step explanation:

l=prt = 30 × 0.05 × 2=3

total save = 30+ 3= 33

Answer:

Step-by-step explanation:

1 1/4-3/4=5/4-3/4=(5-3)/4=2/4=1/2

(-2/3)3=-8/27

The value of the logarithm of 0.81 for logarithm properties is equal to - 0.1.

Herein we must use logarithm properties to simplify a given logarithm and solve the resulting expression. The properties to be used in this question are described below:

㏒ (a / b) = ㏒ a - ㏒ b

㏒ aᵇ = b · ㏒ a

First, write the logarithmic equation:

㏒ 0.81

㏒ 81 / 100

Second, use the logarithmic property for a division:

㏒ 81 - ㏒ 100

Third, use the logarithmic property for a power:

㏒ 3⁴ - ㏒ 10²

4 · ㏒ 3 - 2 · ㏒ 10

4 · ㏒ 3 - 2

4 · 0.477 - 2

- 0.092

To learn more on logarithms: https://brainly.com/question/20785664

#SPJ1

Answer:

a=9+b−c

Step-by-step explanation:

Answer:

3 and 9

Step-by-step explanation:

The factors of 45 are 1, 3, 5, 9, 15, 4.

3x9=45

3+9=14

Answer:

22

Step-by-step explanation:

Answer:

42 is an integer

92.96 is not an integer

-529.79 is not an integer

-12/4 is an integer

-19/15 is not an integer

Answer: 27 pizzas

Step-by-step explanation:

Total ounces available = 4 jars x 24.44 ounces/jar = 97.76 ounces

(97.76 ounces) x (1 pizza/3.5 ounces) = 27.93 pizzas

You can make 27 whole pizzas (the 28th pizza will be short on the sauce)

Answer: 1.3 centimeters

Step-by-step explanation:

.013 x 100 = 1.3

Answer:

Step-by-step explanation:

Used  (0,0) and (-2,4)

(4-0)/(-2-0)= m

m= 4/-2 = -2

Answer: 72 for HJ.

Step-by-step explanation:

Answer:

It's 32.

Step-by-step explanation:

Multiply 16 x 2 = 32.

I hope this helps.

Answer:

range is { - 21, 4 , 14 }

Step-by-step explanation:

the domain gives the value of x , the input

the range is the corresponding values of y, the output

substitute values of x from the domain into the function

x = - 2 : y = - 5(- 2) + 4 = 10 + 4 = 14

x = 0 : y = - 5(0) + 4 = 0 + 4 = 4

x = 5 : y = - 5(5) + 4 = - 25 + 4 = - 21

then range is { - 21, 4 , 14 }

The amount of blood that the human heart circulates every year is represented by the following compound inequality: 770,000 < x < 1,600,000, where x is in gallons of blood.

Herein we must determine the compound inequality, that is, a simultaneous inequality of the form a < x < b, where a and b are the limits of the inequality. According to the statement, the human heart circulates every year at least 770,000 gallons of blood and at most 1,600,000 gallons of blood. Then, the compound inequality that represents the situation is:

770,000 < x < 1,600,000, where x is in gallons of blood.

To learn more on compound inequality: https://brainly.com/question/20296065

#SPJ1

Answer:

Mikhail is 49 years old.

Step-by-step explanation:

39+49=88

Answer:

45º

Step-by-step explanation:

Answer:

(0, 1) and (-3, -2)

Step-by-step explanation:

The solutions are the points of intersection of the two graphs.

We can read the points off the graph.

Answer: (0, 1) and (-3, -2)

Answer:6/39=2/13

Step-by-step explanation:the spell check need 2/13 like 1.5sec to check one words

The correlation of the data shown on the graph is 0

In this question, the graph represents the given parameter

From the graph, we have the following observations

When the change (increase) in the x values causes a random change (increment) in the y values, then the correlation is 0

From the list of options, we have

-1, -0.5 and 1 are not zero i.e. 0

This means that the correlation is (a) 0

Hence, the correlation of the data is 1

Read more about correlation at

brainly.com/question/16355498

#SPJ1

Answer:

1/3

Step-by-step explanation:

shaded is 10 and unshaded is 15

so the answer is 1/3 because

5 can be multiplied both sides

5 times 3 is 15

5 times 1 is 5

So both sides can be multiplied by 5

Answer: alt account

Step-by-step explanation:

The point total possible for the given course is equal to 500.

What is a Percent?

In the question, it is given that you were 6 points shy of a B and the current total points you have is 394.

So, the total number of points you require for a B is calculated as,

[tex]394+6=400[/tex]

So, the value of x is 400.

It is given that you need 80% of the course total for a B.

[tex]\implies p=\frac{80}{100}\\ \implies p=0.8[/tex]

Here, we have to find the base number (b).

We have, x = 80% of b

[tex]\implies x=0.8 \times b\\\implies 400= 0.8 \times b\\\implies x=\frac{400}{0.8}[/tex]

Simplifying, we get

[tex]x=500[/tex]

Therefore, 500 points were possible in the course.

To learn more about the percent from the given link

https://brainly.com/question/24877689

#SPJ1

Answer:

Camilla will win.

Step-by-step explanation:

Camilla's rate = 12

Gabriella's rate = 10

The total amount, if $10,000 is invested at an APR of 4% for 10 years is $14000.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

$10,000 is invested at an APR of 4% for 10 years.

Calculate the total amount at the end as shown below:

[tex]A = p + p\times r\times t / 100[/tex]

A = 10000 + 10000 × 4 × 10 / 100

A = 10000 + 4000

A = 14000

Similarly, solve all the questions using this formula.

Therefore, the total amount, if $10,000 is invested at an APR of 4% for 10 years is $14000.

To know more about interest:

https://brainly.com/question/29222674

#SPJ1

The complete question is:

$10,000 is invested at an APR of 4% for 10 years. Find the total amount after 10 years.