Write on expression in symbols for each ward phrase. Let n be the input. To find a difference or quotient,
write the numbers in the order in which they are stated.
The quotient of the input and four, decreased by five

Answer:

2

Step-by-step explanation:

If he sells and makes x paintings, his expenses will he 10+45x and his revenue will be 50x.

The break-even point is the point at which total cost and total income are equal. For breakeven, Lamar needs to sell 2 paintings.

In economics, business, and especially cost accounting, the break-even point is the point at which total cost and total income are equal, i.e. "even."

Let the number of paintings that Lamar makes and sells at the break-even point be represented by x.

Given that Lamar bought some brushes for $10, and paint and canvas for each painting cost $45. Therefore, the total cost of making x number of paintings is,

Total cost of x painting = $10 + $45(x)

Also, the selling price of each painting is $50. Therefore, the revenue generated from x paintings is,

Revenue generated = $50(x)

Further, at the breakeven point, the total cost of production of any product is equal to the revenue generated by the product. Therefore, we can write,

Total cost of x painting = Revenue generated

$10 + $45(x) = $50(x)

10 + 45x = 50x

10 = 50x - 45x

10 = 5x

x = 10/5

x = 2

Hence, For breakeven Lamar needs to sell 2 paintings.

Learn more about Break-Even Point here:

https://brainly.com/question/15172639

#SPJ5

Answer:

38 inches

Step-by-step explanation:

We can use the Law of Sines to solve for the length of side g:

sin(66°)/67 = sin(30°)/g

Cross-multiplying, we get:

g*sin(66°) = 67*sin(30°)

Dividing both sides by sin(66°), we get:

g = 67*sin(30°)/sin(66°) ≈ 38 inches (rounded to the nearest inch)

Therefore, the length of side g is approximately 38 inches.

Answer:

12% alkaline

Step-by-step explanation:

The amount of 1% acid solution she needs to mix is 25 ml while the percentage of 5% acid solution she needs to mix is 75 ml.

Given to us

A chemist has a bottle of a 1% acid solution and a bottle of a 5% acid solution.

She wants to mix the two solutions to get 100 ml of a 4% acid solution.

Assumption

Let the amount of 1% acid solution be x ml, and the amount of 5% acid solution be y ml.

As the chemist wants to mix the two solutions to make 100 ml of solutions, therefore,

amount of 1% acid solution + amount of 5% acid solution = 100ml

x + y = 100.....equation 1

Solving for y,

y = 100 - x

We know that the mixture is having a 4% concentration and is 100 ml in volume.

\((1\%)x+(5\%)y = (4\%)100\\0.01x+0.05y=0.04\times 100\\\)

Substitute the value of y,

\(0.01x+0.05(100-x)=0.04\times 100\\\\0.01x + (0.05\times 100)-(0.05\times x) = 4\\\\0.01x + 5 -0.05x =4\\\\0.01x-0.05x = 4-5\\\\0.04x = 1\\\\x=\dfrac{1}{0.04}\\\\x = 25\ ml\)

Substitute the value of x in equation y,

\(x+y = 100\\25 +y =100\\y = 100-25\\y=75\ ml\)

Hence, the amount of 1% acid solution she needs to mix is 25 ml while the percentage of 5% acid solution she needs to mix is 75 ml.

Learn more about the System of equations:

https://brainly.com/question/12895249

Answer:

To find cosθ, use the formula for the area of a triangle i.e. AREA=1/2 x a x b x sinC.=> For this case: 15= 1/2 x 10 x 5 x sinC to find sinC.=> SinC = 3/5 thus, Arcsin(3/5)=+- 4/5 or +-0.8

To find the exact length of BC, use the cosine rule.=> c(sq)=a(sq)+b(sq)-2abCosC=> c(sq)=10(sq)+5(sq)-2(10)(5)(+-4/5)=> c(sq)= Square root of 205

Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.

Answer:

1800/60=30

Step-by-step explanation:

Answer:

the first answer is correct

Step-by-step explanation:

The right trangular prism has 5 surface areas. 2 of them are triangles and 3 of them are rectangles.

Area of triangle

= 0.5(3/2)(2) = 3/2 square units.

Area of 1st rectangle

= (5/2)(5) = 25/2 square units.

Area of 2nd rectangle

= (3/2)(5) = 15/2 square units.

Area of 3rd rectangle

= (2)(5) = 10 square units.

Total Surface Area

= 2 * (3/2) + (25/2) + (15/2) + 10

= 33 square units. (A)

The Probability for the recipient degree is a bachelor's is 896 / 2501.

What is the Probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.

Number of Degree Recipients at a Local College

Degree                                Male                                   Female

Associate's                         224                                        387

Bachelor's                          547                                         776

Advanced                           245                                        322

Total Bachelor's degree recipients = 547+322 = 896

Total Recipients at local college = 224 + 387 + 547 + 776 + 245 + 322 = 2501

P(the degree is a bachelor's) = 896 / 2501

Thus, The Probability for the recipient degree is a bachelor's is 896 / 2501.

Learn more about Probability from:

https://brainly.com/question/11234923

#SPJ1

By SSS postulate, triangle SQY is similar to triangle PTY.

From the given figure, consider ΔSQY and ΔPTY.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

Here, SQ/PT = SY/PY = YQ/YT

8/4 = 12/6 = 4/2

2 = 2 = 2

By SSS postulate, ΔSQY~ΔPTY.

Hence, by SSS postulate, triangle SQY is similar to triangle PTY.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ1

On solving the provided question, we can say that -  here in graph we have on solving equation  \(2x^2+ 9y^2 \\\) = \(8 + 9 = 17\)

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

from graph, x= 2

y = 1

\(2x^2+ 9y^2 \\\)

\(8 + 9 = 17\)

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

let's convert those $1.60 to pennies, that's 160 pennies, now, let's divide those 160 by (5 + 3) and distribute between the girls accordingly

\(\stackrel{Girl1}{5}~~ : ~~\stackrel{Girl2}{3} ~~ \implies ~~ \stackrel{Girl1}{5\cdot \frac{160}{5+3}}~~ : ~~\stackrel{Girl2}{3\cdot \frac{160}{5+3}} ~~ \implies ~~ \stackrel{Girl1}{5\cdot 20}~~ : ~~\stackrel{Girl2}{3\cdot 20} \\\\\\ \stackrel{Girl1}{100}~~ : ~~\stackrel{Girl2}{60}\qquad \textit{one girl got \underline{40 more cents } than the other girl}\)

Answer:

About .19 cents for the unit rate

Step-by-step explanation:

Using Pythagoras' Theorem, we found the length of Road C and the respective time taken to travel along each road.

What is meant by Pythagoras' theorem?

The Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse. In essence, Pythagoras' theorem is used to determine a triangle's angle and length of an unknown side. This theorem allows us to obtain the hypotenuse, perpendicular, and base formulas.

The given figure is a right triangle.

The length of road A = 16.01 km

The length of road B = 10 km

a) The length of road C can be found using Pythagoras' theorem.

From figure,

A² = B² + C²

16.01 ² = 10² + C²

C² = 156.32

C = 12.5 km

b) Speed of bike = 19.5 km/h

    Length of road C = 12.5 km

Time = Length/speed = 12.5/19.5 = 0.64 hours

  Length of road B =10 km

Time = Length/speed = 10/19.5 = 0.51 hours

c) Length of road A = 16.01

Time taken = Length/speed = 16.01/19.5 = 0.82 hours.

Therefore using Pythagoras' Theorem, we found the length of Road C and the respective time taken to travel along each road.

To learn more about Pythagoras' Theorem, follow the link.

https://brainly.com/question/343682

#SPJ1

Answer:

Choosing a card randomly and noting its suit

Step-by-step explanation:

Choosing a card randomly and noting its suit

This is because binomial distributions only work for bernoulli trials (a trail in which there are only two outcomes)

Answer:

8.4102

Step-by-step explanation:

656÷78=8.4102

Answer

8.41025641026

When you do long division that comes out to be your answer.

I think the correct answer is D

Answer:2,440,000,000

Step-by-step explanation:

Answer:The function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

What are exponential functions?

The exponential functions are written in the form of y = aeᵇˣ, where the output y increases exponentially for the input x.

In order to find the graph that represents an exponential function, we will discuss each of the following graphs,

For the 1st graph, (Black),

In the first graph, the graph is of a parabola, and the function which represents this kind of graph is a quadratic equation, therefore, this graph represents a parabolic equation. It is given by the function,

y=ax²+bx+c or y=a(x-h)²+k

For the 2nd graph, (Red),

In the second graph, the graph represented is the graph of a reciprocal function, the function that can be represented by the graph,

y=a/x + b

For the 3rd graph, (Blue),

In the third graph, the graph represented is the graph of root function, it can be modeled as,

y = a+√(x+b)

For the 4th graph, (Green),

In the fourth graph, the graph represented is the graph of an exponential function, and it can be modeled as,

y = aeᵇˣ

Hence, the function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

Step-by-step explanation:

Answer:

the answer is

Step-by-step explanation:

So 12 more than N would be 12 + N.

Answer:

b) 12 + n

Step-by-step explanation:

The statement is,

→ 12 more than a number.

Now equation will be,

→ 12 + n

≈ (or) n + 12

So, option (b) is correct.

The value of the mean is a 33.75 in the normal distribution.

According to the statement

We have to find that the students' favorite color was red.

So, For this purpose, we know that the

A mean is simply defined as the average of the given set of numbers.

From the given information:

On a test that has a normal distribution, a score of 45 falls two standard deviations above the mean, and a score of 30 falls three standard deviations below the mean.

Then

The interval for score = 45- 30= 15

If we divide it by the 4 standard deviations; the interval result into

= 15/4

= 3.75

Then, the standard deviation is 3.75, and

The mean = 30+ 3.75

The mean = 33.75

So, The value of the mean is a 33.75 in the normal distribution.

Learn more about mean here

https://brainly.com/question/1136789

#SPJ9

When a man selects 3 items, the probability that they're all defective will be 1/64.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

From the information, bag contains 8items of which two are deffective. The probability of a defective item is:

= 2/8

= 1/4

When a man selects 3 items, the probability that they're all defective will be:

= (1/4)³

= 1 / 64

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

Complete question

A bag contains 8items of which two are deffective. A man selects 3 items, what is the probability that they're all defective?

Answer:

77.53

Step-by-step explanation:

You just have to sum them up

Answer:

i think the answer is 77.53

Step-by-step explanation:

Jenny's Average swimming speed is 1.5 km/h.

Jenny's average swimming speed as S (in km/h). We can then use the given information to set up equations and solve for S.

We know that Jenny swam for 1 hour, so the distance she swam is given by the formula: Distance = Speed * Time.

Thus, the distance she swam is S * 1 = S km.

Next, we know that her average running speed is 8 times her average swimming speed. Therefore, her average running speed is 8S km/h.

Since she ran for 1 hour, the distance she ran is 8S * 1 = 8S km.

Furthermore, we are given that her average bicycling speed is 2 times her average running speed. Therefore, her average bicycling speed is 2 * 8S = 16S km/h.

She biked for 1.75 hours, so the distance she biked is 16S * 1.75 = 28S km.

The total distance of the triathlon is the sum of the distances for each segment: Distance(swimming) + Distance(running) + Distance(biking) = 55.5 km.

Therefore, we can write the equation:

S + 8S + 28S = 55.5.

Simplifying the equation, we get:

37S = 55.5.

To solve for S, we divide both sides of the equation by 37:

S = 55.5 / 37 = 1.5.

Thus, Jenny's average swimming speed is 1.5 km/h.

For more questions on Average .

https://brainly.com/question/20216375

#SPJ8

Answer:

The probability of Sam is 2/5

Step-by-step explanation:

n(e)=2

n(s)=5

Pe=n(e)/n(s)

Pe=2=5

Answer:

1

Step-by-step explanation:

2x + 1 = -3x + 6

add 3x

5x + 1 = 6

subtract 1

5x=5

Divide by 5

x=1

If this is correct, please mark brainliest!

Answer:

x=7

Step-by-step explanation:

2x + 1 = 15

-3x+6 = - 15

Since they are equal the equation is true

Answer:

Step-by-step explanation:

\(2x - 10^o + 2x + 30^o + x + 10^o + 50^o = 180^o \\\ 5x + 80^o = 180^o \\\ 5x = 180^o - 80^o \\\ 5x = 100^o \\\ x = \frac{100^o}{5} \\\\ x = 20°\)

I hope I've helped you.

Explanation:-

From the given figure :

∠AOB = 50°

∠BOC = x+10°

∠COD = 2x+30°

∠DOE = 2x-10°

We know that

The sum of the angles lie on the same line = 180°

⇛ ∠AOB + ∠BOC + ∠COD + ∠DOE = 180°

⇛ 50°+x+10°+2x+30°+2x-10° = 180°

⇛ 5x+80° = 180°

⇛ 5x = 180°-80°

⇛ 5x = 100°

⇛ x = 100°/5

⇛ x = 20°

∴ x = 20°

Now,

The measure of ∠BOC = x+10°

= 20°+10°

= 30°

The measure of ∠COD = 2x+30°

= 2(20°)+30°

= 40°+30°

= 70°

The measure of ∠DOE = 2x-10°

=2(20°)-10°

= 40°-10°

= 30°

Answer:-

The measure of ∠BOC = 30°

The measure of ∠COD = 70°

The measure of ∠DOE = 30°

Remember:-The sum of the angles lie on the same line is 180°

The percentage is 6.25%

Calculate the percentage increase

The ability to calculate percentage increases is a crucial one for geographers to possess. The outcomes may improve when geographers gather data over time. A geographer can determine the degree of change in their data by computing a percentage increase. For instance, learning how much a river channel widens as you move downstream may be helpful.

calculate the difference between the two figures being compared.

Divide the increase by the starting amount, then multiply the result by 100. % Increase equals an increase of 100 initial numbers.

Based on the given conditions, formulate: (17-16)/16

Calculate the sum or difference: 1/16

Rewrite a fraction as a decimal:0.0625

Multiply a number by both the numerator and the denominator: 0.0625×100÷100

Calculate the product or quotient: 6.25÷100

Rewrite a fraction with a denominator equal to 100 to a percentage:6.25%

Solution:6.25%

to know more about the Percentage visit

https://brainly.com/question/29306119

#SPJ9

Answer:

444

Step-by-step explanation:

Parentheses

Exponents

Multiplication

or

Division

Addition

or

Subtraction

(9·20+60)÷4−16+4·(20·5) -multiply the first numbers in the first ()

(180+60)÷4−16+4·100 - multiply the numbers in the last ()

240÷4-16+4·100 -add the numbers in the ()

240÷4-16+400 -multiply the last numbers

60-16+400 -divide the firsts numbers

444 -SOLVED

\(\text {Hello! Let's Solve this Problem!}\)

\(\text {The First Step is to Solve the Parentheses:}\)

\(\text {90*20=180+60=240}\\\text {20*5=100}\)

\(\text {Your new Problem should be: 240/4-16+4+100}\)

\(\text {The Next Step is to Divide:}\)

\(\text {240/4=60}\)

\(\text {Your new Problem should be: 60-16+4*100}\)

\(\text {The Next Step is to Subtract:}\)

\(\text {60-16=44}\)

\(\text {Now the Next Step is to Multiply:}\)

\(\text {4*100=400}\)

\(\text {The Final Step is to Add:}\)

\(\text {44+100=}\)

\(\text {Your Answer should be:}\)

\(\fbox {444}\)

\(\text {Best of Luck!}\)

\(\text {-LimitedX}\)

An equation to find the total cost of y of x rides is y = 3x.

The cost to ride 10 rides is equal to $15.

In order to write an equation that model this situation, we would assign variables to the number of tickets and the total cost respectively, and then translate the word problem into algebraic equation as follows:

Next, we would translate the word problem into an algebraic equation based on the fact that each ride requires 3 tickets and a ticket costs $1.50 as follows;

y = 3x

For the cost of 10 rides, we have:

y = 10x

When x = 1.50, the total cost is given by:

y = 10(1.50)

y = $15.

Read more on equations here: brainly.com/question/3382177

#SPJ1

The equation for a quadratic function with given properties is, f(x) = -201.5 (x² +2x - 15)

Given,

f(3) = f(-5) = 0;

f(-6) = -36​

Here,

The x intercepts of the quadratic equation are;

x₁ = 3 , x₂ = -5

The quadratic equation in factored form is equal to

f(x) = a(x - x₁) (x - x₂)

Substitute x₁ = 3 , x₂ = -5 in f(x)

Then,

f(x) = a(x - 3) (x - -5)

f(x) = a(x - 3) (x + 5)

We have;

f(-6) = -36​

That is, if x = -6 then f(x) = -36

So,

f(x) = a(x - 3) (x + 5)

-6 =  a(-36 - 3) (-36 + 5)

-6 = a x - 39 x - 31

-6 = 1029a

a = -1029/6

a = -201.5

Here,

f(x) = -201.5(x - 3) (x + 5)

Apply distributive property;

f(x) = -201.5(x² +5x - 3x - 15)

f(x) = -201.5 (x² +2x - 15)

That is,

The equation for a quadratic function with given properties is, f(x) = -201.5 (x² +2x - 15)

Learn more about quadratic function here;

https://brainly.com/question/14871651

#SPJ1