What sides are the Adjacent, Hypotenuse, Opposite?

The fraction 1/2 converts to 0.50 in decimal form.

The mixed number 15 & 3/4 is the same as 15.75

If Calvin is distracted, then he makes 15.75-0.50 = 15.25 pizzas per hour on average.

Multiply by 8 to find the total number of pizzas possible.

8*15.25 = 122

Calvin can make 122 pizzas in an 8-hour shift with Megan.

Since Calvin works at a pizza place making pizzas, and if he is working alone, he can make an average of 15 3/4 per hour, but if he works with his friend Megan, he tends to get distracted, and his rate falls by 1/2 per hour, to determine how many pizzas can Calvin make in a 8-hour shift with Megan, the following calculation must be performed:

Therefore, Calvin can make 122 pizzas in an 8-hour shift with Megan.

Learn more in https://brainly.com/question/14963327

Answer:

66

Step-by-step explanation:

Let's say the number is x

5/6x = 55

Divide by 5 on both sides

1/6x = 11

Multiply by 6 on both sides to get rid of 1/6

x = 66

Answer:

y = -5

Step-by-step explanation:

Isolate y:

-3x + 9y = -57

9y = -57 + 3x

y = (-57/9) + (3/9)x

Substitute for x:

y = (-57/9) + (3/9)(4)

y = (-57/9) + (12/9)

y = (-45/9)

y = -5

Answer:

\(\mathsf {y = -5}\)

Step-by-step explanation:

\(\textsf {Given :}\\\textsf {-3x + 9y = -57}\)

\(\textsf {Divide throughout by 3 :}\)

\(\mathsf {\frac{1}{3} \times (-3x + 9y) = \frac{1}{3} \times -57}\)

\(\mathsf {-x + 3y = -19}\)

\(\textsf {Substitute x = 4 :}\)

\(\mathsf {-(4) + 3y = -19}\)

\(\mathsf {3y = -15}\)

\(\textsf {Divide by 3 on both sides :}\)

\(\mathsf {\frac{3y}{3} = \frac{-15}{3} }\)

\(\mathsf {y = -5}\)

Answer:

The answer is 45 because 4 times 14 is 56 if you subtract 11 you get 45

Given that sec(x) = 10/9 and that 270° < x < 360°, we want to complete:

We will find that x = 334.16°

The solutions are:

Remember that sec(x) = 1/cos(x)

Then:

sec(x) = 10/9 = 1/cos(x)

so we can write:

cos(x) = 9/10

If we apply the inverse cosine function, we get:

Acos(cos(x)) = Acos(9/10)

x = 25.84°

But this is not in the wanted interval, because the cosine function is even, we have that:

cos(25.84°) = cos( -25.84°)

And it has a periodicity of 360°, then:

cos(-25.84°) = cos(-25.84° + 360°)  = cos(334.16°)

Then our angle is x = 334.16°.

Now we replace that in the wanted expressions:

If you want to learn more, you can read:

https://brainly.com/question/15946191

Janie cannot do a fraction of a chore, the Number of chores that Janie would need to do to earn enough money to purchase the CD is at least 12.

Let us assume that "c" represents the number of chores that Janie could do. Let's now create an inequality to determine the number of chores, ccc, that Janie could do to have enough money to buy the CD.

Since Janie earns $1.20 for each chore she does, we can multiply that amount by the number of chores she completes to determine how much money she will earn.

Thus, we obtain the following inequality:1.20c >= 13.50To find the number of chores that Janie would need to do to earn enough money to purchase a CD, we can use algebra to solve for "c".

To do that, we must first divide each side of the inequality by 1.20:c >= 11.25After dividing each side by 1.20, we obtain the inequality c ≥ 11.25.

Since Janie cannot do a fraction of a chore, the number of chores that Janie would need to do to earn enough money to purchase the CD is at least 12.

Let's do a check: If Janie were to complete 12 chores, she would earn 1.20 × 12 = 14.40, which is greater than the cost of the CD.

For more questions on Number .

https://brainly.com/question/1859113

#SPJ8

Answer:

The construction is a parallel line to a given line  from a point not on the line.

Step-by-step explanation:

For a given figure,

To construct a parallel line

Step 1 : Draw transversal line through any point not on line which is given.

Step 2: Using construction copy an angle, construct same angle formed by transversal line and given line.

Step 3: This is the last step in which when the copy of an angle completed draw a line parallel to the line

Step-by-step explanation:

The required number of cup of milk required to make 87 cookies.

While you're discussing a recipe, you can make sense of what fixings are required by talking about that the recipe "calls for ___". For instance: It calls for olive oil.

A recipe calls for of a cup of milk for 29 cookies.

It means we need 29 cookies for one cup of milk,

To find number of cup need to make 87 cookies.

Then,

29 cookies = one cup

one cookie = one cup/29

87 cookies = 87/29 cup of milk

3 cup of milk

Thus, there are 3 cup of milk required.

To know more about receipt calls problems in math visit :

brainly.com/question/17878327

#SPJ1

Answer:

true

Step-by-step explanation:

The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.

In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.

In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.

This concept is essential to the development of computer programs that are efficient, reliable, and secure.

In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.

In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.

To learn more about : finiteness

https://brainly.com/question/32403180

#SPJ8

Answer: \(g(-2)=2a\)

Step-by-step explanation:

\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)

The function g(-2) from the given functions is 2a.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(-2)=a and (f·g)(-2)=2a².

Here, (f·g)(-2)=2a²

f(-2)·g(-2)=2a²

a·g(-2)=2a²

g(-2)=2a²/a

g(-2)=2a

Therefore, the function g(-2) is 2a.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

Answer: 1.333

Step-by-step explanation:

Answer:

1.33

Step-by-step explanation:

nothing much to explain

The value of covariance cov(y1, y2) is -0.222

                      y1      

y2         0         1         2          Total

0          1/9      2/9     1/9          4/9

1          2/9      2/9      0            4/9

2          1/9        0       0            1/9

Total   4/9       4/9     1/9          1      

  marginal distribution of y2:

y2      P(y2)      y2P(y2)      y2^2P(y2)

0         4/9        0.0000        0.0000

1          4/9         0.4444        0.4444

2          1/9         0.2222        0.4444

total      1          0.66667       0.88889

E(y2) = 0.6667

E(y2^2) = 0.8889

Var(y2) = E(y2^2)-(E(y2))^2=0.4444

marginal distribution of y1  

y1       P(y1)       y1P(y1)      y1^2P(y1)

0         4/9       0.0000      0.0000

1          4/9        0.4444       0.4444

2          1/9         0.2222      0.4444

total  1.00          0.6667      0.8889

E(y1) = 0.6667

E(y1^2) = 0.8889

Var(y1)= σy = E(y1^2)-(E(y1))^2 = 0.4444

E(XY) =∑xyP(x,y)=0.2222

Cov(y1,y2) = -0.222

To learn more about Covariance here:

brainly.com/question/14300312

#SPJ4

Answer:

the value of f(5) is 26.672

Option (E) 26.672 is the correct answer

Step-by-step explanation:

Given that;

f(1) = 2 and f(x) = √( x³ + 6 )

f(5) = ?

f(5) = f(1) + ₁∫⁵ f'(x) dx

we substitute

f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx

f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx

f(5) = 2 + 24.6719

f(5) = 26.672

Therefore the value of f(5) is 26.672

Option (E) 26.672 is the correct answer

The value of f(5) is 26.672

Given the following parameters

f(1) = 2

f(x) = √( x³ + 6 )

We need to calculate the value of f(5) as shown below

f(5) = f(1) + ₁∫⁵ f'(x) dx

Substitute the given parameters

f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx

f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx

f(5) = 2 + 24.6719

f(5) = 26.672

Hence the value of f(5) from the solution is 26.672

Learn more on continuous function here: https://brainly.com/question/18102431

Answer:

\(ML=58\)

Step-by-step explanation:

Given

\(JK=3x+11,ML=10x-12,NP=45\)

See attachment

Required

Length ML

First, calculate x using the following equivalent ratios

\(JK:NP=NP:ML\)

Express as fraction

\(\frac{JK}{NP}=\frac{NP}{ML}\)

Cross Multiply

\(JK*ML=NP*NP\)

Substitute values:

\((3x+11)*(10x-12)=45*45\)

Expand

\(30x^2-36x+110x-132=2025\)

\(30x^2+74x-132=2025\)

Collect like terms

\(30x^2+74x-132-2025=0\)

\(30x^2+74x-2157=0\)

Using a calculator:

\(x\) ≈ \(-10\) and \(x\) ≈ \(7\)

Given that:

\(ML=10x-12\)

Substitute values for x

\(ML=10*-10-12=-100-12=-112\)

\(ML=10*7-12=70-12=58\)

ML cannot be negative; So:

\(ML=58\)

Answer:

I hope this helps!

Step-by-step explanation:

Answer: 2^6

Step-by-step explanation: 2^4 x 2^3 is simplified to 2^7, 2^7/2^5 is 2^2, 2^2 x 2^4 is simplified to 2^6

Answer:

37.5 is the answer

Step-by-step explanation:

all you do is just multiply the 2 numbers

Answer:

A.

Step-by-step explanation:

Recall: SOHCAHTOA

Reference angle = θ

Side Adjacent to θ = 8

Hypotenuse = 15

Therefore, we would apply CAH since we know the hypotenuse and the adjacent length.

Thus:

Cos θ = Adj/Hyp = 8/15

Cos θ = 0.5333

θ = Cos^{-1}(0.5333)

θ = 57.7713051°

θ = 57.8° (to nearest tenth)

Answer:

42

Step-by-step explanation:

You need to follow P--E--M--D--A--S

                                A  X  U   I    A  U                

                                R  P   L   V   D  B

                                E  O  T    I    D  T

                                N  N  I    T    I   R

                                T  E   P    I    T  A

                                H  N  L   O   I   C

                                E  T   I    N   O  T

                                S  S  C         N   I

                                 I       A              O

                                S       T              N

                                          I

                                         O

                                         N

The probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is 1/15 (option a).

Firstly, we need to determine the total number of jelly beans in both bags.

The first bag contains 15 jelly beans (3+5+2+5) and the second bag contains 10 jelly beans (1+7+2).

Therefore, the total number of jelly beans in both bags is 25.

Next, we need to determine the probability of randomly selecting a blue jelly bean from the first bag.

Since there are 5 blue jelly beans out of a total of 15 jelly beans in the first bag, the probability of selecting a blue jelly bean is 5/15 or 1/3.

After selecting a blue jelly bean from the first bag, we move on to the second bag to select a green jelly bean.

Since there are 2 green jelly beans out of a total of 10 jelly beans in the second bag, the probability of selecting a green jelly bean is 2/10 or 1/5.

To determine the probability of both events occurring, we use the multiplication rule of probability.

Therefore, the probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is (1/3) x (1/5) = 1/15.

Hence, the answer is option (a) 1/15.

To know more about probability here

https://brainly.com/question/11234923

#SPJ1

Answer:

It has 2 equal side lengths

Answer:

(100)(3) = 300, so 480(3) is the amount of money that the carnival will raise on Saturday.

The carnival raised $1,440 on Saturday.

Step-by-step explanation:

Both of these statements are true.

The carnival will raise $1,440 on Saturday, which you can calculate by doing 300(4.8), which is 1440.

It can also be calculated by doing 480(3) because you get the same answer, 1440.

Answer: 100)(3) = 300, so 480(3) is the amount of money that the carnival will raise on Saturday.

The carnival raised $1,440 on Saturday.

Step-by-step explanation:

I recommend use of simple random sampling to determine the three possible toppings to be used for the vegetarian pizza.

It is a sampling technique in which each member of the population has an equal chance of being selected for the sample. Here, the population would be students who regularly eat at the school cafeteria.

By using the sampling, we make sure that each student has an equal chance of being selected to taste test the different pizza toppings. This will help to eliminate bias and provide a representative sample of the population's preferences. They will provide feedback which will be used to determine which topping should be used for the vegetarian pizza.

Read more about sampling technique

brainly.com/question/28292794

#SPJ1

Answer:

a = 0.3

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

(5.3a - 0.8) - (1.6 - 4.7a) = 2a - (a - 0.3)

Step 2: Solve for a

Step 3: Check

Plug in a to verify it's a solution.

Here we see that 0.6 does indeed equal 0.6.

∴ a = 0.3 is a solution of the equation.

Answer:

6ft

Step-by-step explanation:

The height is 6ft, because the 3 foot measurements are the width of the prism.

The formula "total += number" provides an illustration of how to calculate the sum of numbers given that the number is saved in the variable number and the total is saved in the variable total (i.e., an accumulator).

When a group of numbers, known as addends or summands, are added together in mathematics, the outcome is their sum or total.

Functions, vectors, matrices, polynomials, and, generally, any sort of mathematical object on which an operation labeled "+" is defined can all be added together, in addition to numbers.

Series are summations of infinite sequences.

These are related to the idea of limits but are not covered in this article.

Given that the number is stored in the variable number and the total is saved in the variable total, the formula total += number gives an example of how to calculate the sum of numbers (i.e., an accumulator).

Therefore, the formula "total += number" provides an illustration of how to calculate the sum of numbers given that the number is saved in the variable number and the total is saved in the variable total (i.e., an accumulator).

Know more about the um of numbers here:

https://brainly.com/question/5982761

#SPJ1

Correct question:

What represents an example to calculate the sum of numbers (that is, an accumulator), given that the number is stored in the variable number and the total is stored in the variable total?

Answer:

y = -10x -6

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation: I got it wrong and saw the answer.