Which equations are set up correctly to solve for the unknown side length?

Answer:

$1500

$3000

Step-by-step explanation:

let x = # of hours

$500 + ($50/hr)(20 hr) = $1500

$500 + ($50/hr)($50 hr) = $3000

Answer:

sinΘ = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

given the point (3, 4 )

the x- coordinate indicates the horizontal length of the triangle, that is 3

the y- coordinate indicates the vertical length of the triangle, that is 4

the triangle is right and is a 3- 4- 5  , hypotenuse is 5

then

sinΘ = [tex]\frac{vertical}{hypotenuse}[/tex] = [tex]\frac{4}{5}[/tex]

Lee has saved $255. This can be found by multiplying Jee's aved amount of $51 by 5. Therefore, Lee has aved $255.

First, we need to calculate how much money Jee has aved. We know Jee has aved $51, so we multiply that by 5 to find out how much money Lee has aved.

51 x 5 = 255

Therefore, Lee has aved $255. Jee has aved $51, and if we multiply that amount by 5, we can calculate how much money Lee has aved. To find the answer, we first need to multiply 51 by 5. When we do this, we get the amount of money that Lee has aved, which is $255. This means that Lee has aved five times as much money as Jee has aved, which is $255. This can be found by multiplying Jee's aved amount of $51 by 5. Therefore, Lee has aved $255.

Learn more about amount here

https://brainly.com/question/8082054

#SPJ4

Answer:(f+g) is 2668, (f-g) is -2800

Step-by-step explanation:

Answer: i dont kow

Step-by-step explanation:

Therefore ,ecklaces cost $15.67, and the equation for the inequality in the statement is $7.62, therefore 7.62x + 15.67y ≥ 450.

In mathematics, an inequality is a link between two phrases or values that isn't equal. As a result, inequality results from imbalance. In mathematics, an inequality establishes a connection between two non-equal numbers. Egality is different from inequality. Use the or equal sign most frequently to indicate that two values really aren't equal (). Values of any size can be contrasted using various inequalities. By changing the two sides till it variables are all that is left, many straightforward inequalities can be resolved. But a lot of factors support inequality: On either side, negative values are split or added. Exchange lefts

Here,

Let X equal the quantity of bracelets.

give Y the quantity of necklaces.

Equation of inequality: 450 = 7.62x + 15.67y

Inequality in the sentence's equation Because bracelets cost $7.62 and necklaces cost $15.67,

her revenue needs to be at least $450 (7.62x + 15.67y ≥ 450).

To know more about inequality visit :-

brainly.com/question/29914203

#SPJ1

Latitudes and longitudes help in locating a point by providing a reference system for navigation.

They are used to pinpoint a specific location on the earth’s surface by providing coordinates. These coordinates are measured in degrees and minutes and are written in the form of a pair of numbers. Latitudes are measured in degrees north or south of the equator and are referred to as the lines of latitude. Longitudes are measured in degrees east or west of the prime meridian and are referred to as the lines of longitude. By using the coordinates of a point, the location can be accurately determined. This is especially useful for navigation, as it enables people to determine their position and travel to a specific destination.

Learn more about Latitudes and longitudes here:

https://brainly.com/question/3070484

#SPJ4

Answer:

-40.6

Step-by-step explanation:

Answer:

(5.25, - 5.25 )

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(- 5.25, - 5.25 ) → (-(- 5.25), - 5.25 ) → (5.25, - 5.25 )

Answer:

16 logs

because if 4 logs are burned  in 2 hours then in 8 hours it would be 16 because 2hrs times 4 is 8 hours

you do the same to the logs which is 4 x 4

then u get 16

hope this helps!

(a) To find the probability that the item is requested more than 5 times on a given day, we would need to know the distribution of the demand for the item. Without that information, it is not possible to calculate this probability.

(b) To find the probability that the item is not requested at all on a given day, we would need to know the probability distribution of the demand for the item. Without that information, it is not possible to calculate this probability.

(a) To find the probability that the item is requested more than 5 times on a given day, we would need to know the distribution of the demand for the item. Without that information, it is not possible to calculate this probability. This is because the average demand of 5 times per day does not provide enough information to determine the likelihood of the demand exceeding 5 times. We would need to know more information such as the standard deviation, skewness, kurtosis and the underlying distribution of the data, in order to calculate this probability.

(b) To find the probability that the item is not requested at all on a given day, we would also need to know the distribution of the demand for the item. Without that information, it is not possible to calculate this probability. The average demand of 5 times per day does not provide enough information to determine the likelihood of the demand being zero. We would need to know more information such as the standard deviation, skewness, kurtosis and the underlying distribution of the data, in order to calculate this probability.

It's important to note that if the demand follows a Poisson distribution, you can use the expected value (λ = 5) to calculate the probability of the demand being zero (P(X = 0) = e^(-λ)).

Learn more about Demand Probability here:

https://brainly.com/question/15412371

#SPJ4

Answer: To find the percent of gas used, we need to divide the amount of gas used by the total amount of gas the van can hold and multiply by 100.

Percent of gas used = (Gas used / Total gas) * 100

Given that the van uses 8.4 gallons of gas and can hold 14 gallons of gas, we can substitute these values into the formula:

Percent of gas used = (8.4 / 14) * 100

By performing this calculation we can get that the percent of gas used was: 8.4/14 = 0.6 = 60%

So, 60% of the total gas was used during the trip to the Seattle Zoo.

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

8.4 divided by 14 = 0.6. Let 1 be the 100%. Since 0.6 is the same as 0.60, we remove the decimal and make it 60.

X should be subtracted from the product of X and 2 to obtain X, this can be represented as 2X - X = X, This operation is the inverse of addition, therefore it undoes the addition of X to 2X, resulting in the original number X.

To obtain the equation X from the product of X and 2, you would need to subtract X from the product. In other words, you would need to subtract the factor X from the product.

X × 2 - X = X

This can be simplified as

2X - X = X

So, X should be subtracted from the product of X and 2 to get X.

It is important to note that this is only true when X is not equal to zero, because if X is zero, any number multiplied by zero will give zero, and subtracting zero from zero will not give zero.

It can be seen that the operation of subtraction is the inverse of addition, therefore if you subtract X from 2X, you are essentially undoing the addition of X to 2X, which gives the original number X.

To learn more about the algebraic expression at

https://brainly.com/question/30191360?referrer=searchResults

#SPJ4

Carthik weighs 225 grams, and the mean weight of the mice is 238g.

An equation is a expression that shows the relationship between numbers and variables.

Given that Dorothy weighs 152 g. Let x represent the weight of Amin, y represent that of Brenda and z represent Carthik.

Amin weighs twice as much as Carthik, hence:

x = 2z

x - 2z = 0    (1)

Brenda weighs 100g less than Carthik, hence:

y = z - 100

y - z = -100    (2)

The mean weight of the mice is 238g. hence:

(x + y + z + 152)/4 = 238

x + y + z = 800    (3)

Solving the 3 equations by elimination gives:

x = 450, y = 125 and z = 225

Carthik weighs 225 grams

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The remainder of 30 divided by 775, is 0.0387.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

The number 30 is called the numerator or dividend, and the number 775 is called the denominator or divisor.

The quotient of 30 and 775,

30 divided by 775,

that means,

30/775

= 0.0387, this is the remainder.

Therefore, 0.0387 is the remainder.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ1

The name of the triangle whose all sides are of different measures is Scalene triangle

A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all internal angles, however, is always equal to 180 degrees.

One of the three kinds of triangles that are categorized according to their sides is the scalene triangle. The isosceles triangle and the equilateral triangle are the other triangles depending on their sides. A triangle with scalene sides is one with distinct lengths on each side.

The following are a few of the scalene triangle's key characteristics:

To learn more about triangles refer to :

brainly.com/question/2293045

#SPJ4

The name of the triangle whose all sides are of different measures is Scalene triangle

A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all internal angles, however, is always equal to 180 degrees.

One of the three kinds of triangles that are categorized according to their sides is the scalene triangle. The isosceles triangle and the equilateral triangle are the other triangles depending on their sides. A triangle with scalene sides is one with distinct lengths on each side.

The following are a few of the scalene triangle's key characteristics:

Obtuse, acute, or right triangles are all examples of scalene triangles.

To learn more about triangles refer to :

brainly.com/question/2293045

#SPJ4

Both aviv and marco were correct about the expression

given that

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context. Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Many authors distinguish an expression from a formula, the former denoting a mathematical object, and the latter denoting a statement about mathematical objects

Aviv and Marco were trying to describe the parts of the expression 5a/2a+3.

Aviv said, "The entire expression is the quotient of 5a and 2a+3"

Marco said, "On it's own, 2a+3 is a sum with 2 terms."

now , we need to find who is correct

according to aviv The expression 5a/2a+3 is the quotient of the terms as it can be written as 5a ÷ ( 2a+3 ).

according to marco the expression 2a+3 is sum of two terms

Therefore both aviv and marco are correct

To learn more about quotient:

https://brainly.com/question/16134410

#SPJ4

Answer:

Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.

In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.

Step-by-step explanation:

Answer:

To solve for x, you can start by moving the constant 2 to the other side of the equation by adding x to both sides:

x^2 - x = 2

x^2 - x + (1/4) = 2 + (1/4)

(x - 1/2)^2 = 9/4

x - 1/2 = +- (3/2)

x = -1/2 or x = 2

So the solutions for x are -1/2 and 2.

Answer:

A)  See below

B) Yes

Step-by-step explanation:

A)

Substitute 0 for x

3(x + 2) + 2x - 1

3(0 + 2) + 2(0) -1

3(2) + 0 - 1

6 + 0 - 1

5

5x + 5

5(0) + 5

0 + 5

5

B

Yes, I got the same answer 5.

We can also simplify the first expression and we can see that the expressions are equal.

3(x + 2) + 2x -1  Distribute the 3

3x + 6 + 2x -1  Combine like terms

5x + 5

This equals the second expression.

The permutation and combination C(n ,r) of

C(7,5) = 21.

Permutation

Permutation is the arrangement of objects, some or all of which are acquired at the same time, in a particular order. Consider ten numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number of different 4-digit PINs that can be formed from these 10 digits is 5040. P(10, 4) = 5040. This is a simple example of permutation. The permutation of 4 numbers out of 10 is equal to the factorial of 10 divided by the factorial of the difference between 10 and 4.

Combinations

Combinations are about grouping. Combinations can be used to calculate how many different groups can be formed from existing ones. Let's try to understand this with a simple example. Five students (William, James, Noah, Logan and Oliver) form teams of two.

According to the question:

C (n, r) = C( 7,5)

⇒ 7!/ 5! × 2!

⇒ 7 × 6 ×5!/ 5! × 2 ×1

⇒ 21.

Therefore, C(n ,r) = 21

Learn more about Permutation:

https://brainly.com/question/1216161

#SPJ4

The equation  (√x^2+81 = x+10 ) is equivalent to D: ( x^2 + 81 = x^2 + 20x + 100).

To prove that ( √x^2+81 = x+10  )is equivalent to ( x^2 + 81 = x^2 + 20x + 100 ), we will show that one equation is a consequence of the other.

First, we begin by squaring both sides of the equation ( √x^2+81 = x+10 ). This gives us ( x^2+81 = x^2+20x+100 ).

We can see that if ( √x^2+81 = x+10 ) is true, then  (x^2 + 81 = x^2 + 20x + 100)  must also be true because the left side of the equation is the square of the right side.

The other way around, if ( x^2 + 81 = x^2 + 20x + 100 ) is true, then we can take the square root of both sides and get  (√x^2+81 = x+10 ).

So, the equation ( √x^2+81 = x+10 ) is equivalent to ( x^2 + 81 = x^2 + 20x + 100).

You can learn more about equivalent equation at

https://brainly.com/question/2972832

#SPJ4

The area of the triangle is equal to 36 square units.

In this question we find a triangle whose base (b), in units, is parallel to x-axis and whose height (h), in units, is parallel to y-axis. The area formula for the triangle is shown below:

A = 0.5 · b · h

Where A is the area of th triangle, in square units.

If we know that b = 9 and h = 8, then the area of the triangle shown in the image is:

A = 0.5 · 9 · 8

A = 36

The triangle has an area of 36 square units. (Correct choice: B)

To learn more on areas of triangles: https://brainly.com/question/27683633

#SPJ1

As 30% of the pizza were made, we will have 500 pizzas that as extra cheese.

At Pizza Pi, the number of Pizzas that had extra cheese last week = 150

The percentage of Pizzas that had extra cheese last week = 30%

Now, let us assume that number of Pizzas made last week = X. Then, we will write the equation as:

30X/100 = 150

30X = (150 * 100)

30X = 15000

X = 15000/30

X = 500. Therefore, it can be deducted that 500 pizzas were made last week .

Read more about Fraction

brainly.com/question/17220365

#SPJ1

Answer:

b = 10.24 units.

Step-by-step explanation:

The adjacent is 10.24 units long.

Please let me know if this helped!!!

The majority of the data is split to the right and left of the mean.

The data is mostly divided to the right and left of the mean. The normal distribution is symmetric and continuous. Positively skewed data will have a higher mean than the median. If the data distribution is tilted to the left, the mean is less than the median, which is frequently less than the mode. A probability function that defines how the values of a variable are distributed is known as the normal distribution. The mean, median, and mode values in a normal distribution are all equal. So, in the context of a normal distribution curve, point (ii) is valid.

Here,

The data is mostly divided to the right and left of the mean. The normal distribution is symmetric and continuous. Positively skewed data will have a higher mean than the median.

The data is mostly divided to the right and left of the mean.

To know about normal distribution,

https://brainly.com/question/11822836

#SPJ1

Using Pythagorean theorem, The height of the tree is approximately 47.98 feet.

According to Pythagoras' Theorem, the square of a right-angled triangle's hypotenuse side is equal to the sum of the squares of its other two sides. The three sides of this triangle are known as the Perpendicular, Base, and Hypotenuse.

tan(angle) = opposite side / adjacent side

The opposite side is the height of the tree and the adjacent side is the distance from Jerome to the base of the tree (90 feet).

tan(33) = height / 90

height = tan(33) * 90

The height of the tree is approximately 47.98 feet.

Keep in mind this is an approximation as the angle in question is not a right angle and also the unit is not given so the final result is not accurate.

Learn more about Pythagorean theorem

brainly.com/question/343682

#SPJ1

Answer:

Divide by 2

Step-by-step explanation:

48 divided by 2 is 24 and 24 divided by 2 is 12.