A contractor can by two types of wood. she got 45 expensive wood and 60 cheap wood for the same total price. if the 45 expensive wood cost $3.00 more than the 60 cheap wood, then which equation below shows the correct relationship between the 2 types of wood that she purchased. Also (x =price of the 60 cheap wood)

A.45(x+3)=60x

B.45(x-3)=60x

C.60(x-3)=45x

D.60(x+3)=45x

Answer:

\(\displaystyle a = \frac{8}{5}\).

Step-by-step explanation:

Two vectors \((x_1,\, y_1)\) and \((x_2,\, y_2)\) are parallel to one another if and only if the ratio between their corresponding components are equal:

\(\displaystyle \frac{x_1}{x_2} = \frac{y_1}{y_2}\).

Equivalently:

\(\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}\).

For the two vectors in this equation to be parallel to one another:

\(\displaystyle \frac{a}{4} = \frac{2}{5}\).

Solve for \(a\):

\(\displaystyle a = \frac{8}{5}\).

\(\displaystyle \frac{8}{5}\) would be the only valid value of \(a\); no other value would satisfy the \(\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}\) equation.

Answer:

1) congruent

2) corresponding angles

3) 3x+21 = 6x-60

4) x =9

Step-by-step explanation:

1) congruent becuase supplementary means that these 2 angles add up to make 180 degrees.

2) the file below

3) we know they are equal because the congruent correspoding angles.

4) 3x+21 = 6x-60

=> 21 = 9x-60

=> 81 = 9x

=> 9 = x

Answer: 1 7/11

please mark as brainliest

Answer:

1 7/11

Step-by-step explanation:

Answer:

D) -(-18)= -18

Explanation:

Did the quiz, and got it right

Answer:

D

Step-by-step explanation:

The value of sin(A-B) is 2334/6625

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.

Example of trigonometric identity include;

cos 2 θ + sin 2 θ = 1 cos 2 θ + sin 2 θ = 1.

1 + cot 2 θ = csc 2 θ 1 + cot 2 θ = csc 2 θ

1 + tan 2 θ = sec 2 θ 1 + tan 2 θ = sec 2 θ

Sin(A-B) = = sin A cos B- cos Asin B

if tan A = 4/3, then 4 is the opp and 3 is the adj,

hyp² = 4²+3²

= 16+9

hyp² = 25

hyp = √25

= 5

cos A = 3/5 and sinA = 4/5

if sinB = 28/53, then opp is 28 is the opp and 53 is the hyp

adj = √ 53²-28²

adj = √ 2809 - 784

adj = √2025

adj = 45

cos B = 45/58

sin(A-B) = 4/5 × 45/58 - 3/5× 28/53

= 18/29 - 84/265

= (4770-2436)/6625

= 2334/6625

therefore the value of sin(A-B) = 2334/6625

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The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

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Answer:

105

Step-by-step explanation:

$40 - $19.95 = $20.05

$20.05 divided by 0.19 (19¢) = 105.526316

Answer:

105 miles

Step-by-step explanation:

40-19.95= 20.05

20.05/.19= 105.5263157895

round down to 105 miles

Answer:

x^2 + 10x +21

Step-by-step explanation:

Your multiplying the Squares together and then adding them

Blue Square : x*x= x^2

Pink  Square : x*7= 7x

Green Square: x*3= 3x

Orange Square: 3*7= 21

Now we add all the squares together to get the total area.

x^2+7x+3x+21

x^2+ 10x +21

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

To draw a model showing what percent of 500 lanterns Ms. Duda's class hangs before lunch, we can use a rectangular bar model.

Draw a rectangular bar to represent the total number of lanterns, which is 500. Label it as "Total Lanterns."

Divide the rectangular bar into two parts. One part should represent the number of lanterns hung before lunch, which is 100. Label this section as "Lanterns Before Lunch."

Calculate the percentage of lanterns hung before lunch by dividing the number of lanterns hung before lunch by the total number of lanterns and multiplying by 100. In this case, (100/500) * 100 = 20%.

Draw an arrow pointing to the "Lanterns Before Lunch" section, and write "20%" next to it to represent the percentage.

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

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Answer:

8(3+4p)

Step-by-step explanation:

8 goes into 24 and 32, so it can be factored out:

\(24+32p=8(3+4p)\)

Answer:

8(3 + 4p)

Step-by-step explanation:

Factor 24 + 32p

First, factor out the GCF. In this case, the GCF is 8, and we have

8(3 + 4p)

We can't factor anymore so the answer is 8(3 + 4p)

Jeremiah has to sell 5000 dollars worth of computers to get paid $130 on a given day. Using the linear equation, the required value is calculated.

An equation in which if the highest degree of the variable is 1(one), then that equation is said to be a linear equation.

General form: ax + b = c; where the power of the variable x is 1.

It is given that,

Jeremiah makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day.

Consider,

P - as total pay on a day, x - as the number of dollars worth of computers, B - as basic pay, and C - as commission percentage.

So, the linear equation that relates x and P is,

P = Cx + B   ...(i)

On substituting the values from the given table we get,

122.5 = C(4500) + B ...(ii)

160 = C(7000) + B ...(iii)

175 = C(8000) + B ...(iv)

By solving equations (iii) and (iv), we get

C = 15/1000 = 0.015

B = 55

Finding x value when P = $130:

We have P = Cx + B. Then for P = 130,

130 = Cx + B

We know C = 0.015 and B = 55

On substituting these values,

130 = (0.015) x + 55

⇒ 0.015x = 130 - 55 = 75

∴ x = 75/0.015 = 5000

Therefore, the required computers are 5000 dollars worth.

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Disclaimer: The given question on the portal was incomplete. Here is the complete question.

Question: Jeremiah is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. Let P represent Jeremiah's total payments on a day on which he sells x dollars worth of computers. The table below has select values showing the linear relationship between x and P. Determine how many dollars worth of computers Jeremiah would have to sell to get paid $130 on a given day.

Table:

x: 4500, 7000, 8000

P: 122.5, 160, 175

respectively.

Answer:

-3x -7

Step-by-step explanation:

Add the numbers:

x-12+ 5-4x

x-7 -4x

Combine like terms:

x-7 -4x

-3x -7

Solution:

-3x -7

Answer:

\(115 \dfrac{1}{2}\:cm^3\)

Step-by-step explanation:

The volume of a rectangular prism is the product of each of the sides of the prism

Given the sides have lengths
\(3\dfrac{1}{2}, 6 \;and\; 5 \dfrac{1}{2} cm\)

the volume would be
\(3\dfrac{1}{2} \times 6 \times 5 \dfrac{1}{2}\)

To perform this multiplication, convert mixed fractions to improper fractions first

Use the rule that mixed fraction
\(a\dfrac{b}{c}=\dfrac{a\times \:c+b}{c}\)

\(3\dfrac{1}{2}=\dfrac{3\times 2+1}{2} = \dfrac{7}{2}\)

\(5\dfrac{1}{2}=\dfrac{5\times 2+1}{2}= \dfrac{11}{2}\)

Therefore
\(3\dfrac{1}{2}\times \:6\times \:5\dfrac{1}{2}\\\\= \dfrac{7}{2}\times \:6\times \dfrac{11}{2}\\\\= \dfrac{7}{2}\times \dfrac{6}{1}\times \dfrac{11}{2} \quad(6 = \dfrac{6}{1})\)

\(=\dfrac{7\times \:6\times \:11}{2\times \:1\times \:2}\\\\= \dfrac{462}{4}\\\)

Divide numerator and denominator by 2 to get
\(\dfrac{231}{2}\\\)

Convert improper fraction \(\dfrac{231}{2}\) to mixed fraction using quotient/remainder

\(\dfrac{231}{2} \\\\\rightarrow Quotient: 115\\\\\rightarrow Remainder = 231 - 115 \times 2 = 231 - 230 = 1\)

\(\dfrac{231}{2} = 115 \dfrac{1}{2}\)

Answer:

x = 39.3

Step-by-step explanation:

30^2 = 27^2 + AB^2

30^2 - 27^2 = AB^2

AB = 13.1

30÷90 = 13.1÷X

30x = 1179

x = 1179÷30

x=39.3

The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.

To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.

The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.

The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -A and b = 250. Plugging in these values, we get:

x = -250 / (2 * (-A))

= 125 / A

To find the maximum revenue, we substitute this value of x into the revenue equation:

R = -A * (125 / A)^2 + 250 * (125 / A)

= -A * (15625 / A^2) + (31250 / A)

= -15625 / A + 31250 / A

= 15625 / A

The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.

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Answer:

Dylan is 10 years old, and Genesis is 11.

Step-by-step explanation:

If Genesis and Dylan's age are consecutive integers, and Genesis is older, we can represent their ages as:

Dylan's age: x

Genesis' age: x+1

This would mean Genesis is a year older than Dylan.

The product of their ages is 110.

We can write an equation:

x×(x+1)=110

x²+x=110 (Distribute x)

x²+x-110=0 (Move 110 to the other side)

You can solve this by the quadratic equation, by factoring or by completing the square

I'll solve it by the quadratic equation:

We must first find the coefficients a, b and c, and then plug it into the formula.

\(x = \frac{ - 1 + - \sqrt{ {1}^{2} - 4 \times 1 \times - 110} }{2 \times 1} \\ x = \frac{ - 1 + - \sqrt{1 + 440} }{2} \\ x = \frac{ - 1 + - 21}{2} \)

Since we have a ± symbol, we get 2 real solutions, x1 and x2.

x=-1±21/2

x1=-1+21/2

x1=20/2

x1=10

x2=-1-21/2

x2=-22/2

x2=-11

Since their age can't be negative, x2 can't be a solution, so Dylan's age must be 10, and Genesis' age must be 11.

Hope this helps, and let me know if you need help with another method to solve this problem!

Answer:

1200 total boxes,

1152 more boxes need to be loaded

Answer:

I think C

Step-by-step explanation:

sorry if I'm wrong

D i answered this one on khan.

When the matrices A and B commute, or when they fulfill AB=BA, this is a significant exception.

A matrix is a rectangular array or table of numbers, symbols, or formulae used to represent mathematical objects or qualities of such things. It is often arranged in rows and columns. For instance, a matrix contains two rows and three columns. a group of integers organized in a rectangular array in rows and columns. Matrix elements or entries refer to numbers. In several disciplines of engineering, physics, economics, statistics, and mathematics, matrices have a wide range of applications.

The eigenvalues and eigenvectors of the sum of two matrices are typically not the same as the sums of the eigenvalues and eigenvectors of the individual matrices. In actuality, there is no way to separate the eigenvalues of A and B from one another.

When a vector v is an eigenvector of both A and B, it is also an eigenvector of A+B, with an eigenvalue equal to the sum of its eigenvalues for A and B, respectively. There is, however, no reason to anticipate that two matrices will share an eigenvector in general. There is no method to create an eigenvector of A+B from two random eigenvectors of A and B alone.

When the matrices A and B commute, or when they fulfill AB=BA, this is a significant exception. In this situation, their invariant spaces coincide, and if both of them are diagonalizable, they are concurrently diagonalizable, which means that their eigenvectors do as well. As was already noted, in this specific instance, the eigenvectors of A+B are likewise the same.

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Answer:

Imagine you have half of a cookie. You break it into three pieces to share with friends. You keep one piece, so you have 1/6 of the entire cookie. You can use multiplication to check your work. 1/6x3 =3/6 of 1/2  :D

Step-by-step explanation:

The number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways

Find the image attached. From the figure, we can see that there are 6 rows in the array.

If there are 20 tomato plants, the ways Molly can arrange the tomato plants in an array is expressed according to the permutation formula:

20P6 = 20!/(20-6)!

20P6 = 20!/14!

20P6 =  20 * 19 * 18 * 17 * 16 * 15

20P6 = 27,907,200

Hence the number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways

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The value of x for the two lengths of the diagonals is 1.

A diagonal in geometry is a line segment that connects two polygonal or polyhedral vertices when they are not on the same edge. Any sloping line is known as a diagonal informally.

Geometry is the area of mathematics that deals with the characteristics of space and the shapes of particular things as well as the interactions between them in space.

Given that the two segment values are 2x + 4 and 7x - 1. The value of x will be calculated as,

2x+4 = 7x-1

5x = 5

x = 1

Hence, the value of x is 1.

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Answer

He needs to get 20 points

Step-by-step explanation:

80% is 4/5. 4/5 of 25 is 20

A probability mass function (pmf) for a random variable X must satisfy the following two conditions:
1. f(x) ≥ 0 for all x
2. Σf(x) = 1

(a) f(x) = x/c
To find the constant c, we can use the second condition and sum over all possible values of x:
Σf(x) = Σ(x/c) = 1/c Σx = 1
Since we don't have a specified range for x, we cannot solve for c.

(b) f(x) = cx
Again, we can use the second condition to find the constant c:
Σf(x) = Σ(cx) = cΣx = 1
Without a specified range for x, we cannot solve for c.

(c) f(x) = c(1/4)^x
Using the second condition:
Σf(x) = Σ(c(1/4)^x) = cΣ(1/4)^x = 1
We can use the formula for an infinite geometric series to find the sum:
Σ(1/4)^x = 1/(1 - 1/4) = 4/3
So, c = 3/4

(d) f(x) = c(x + 1)^2
Using the second condition:
Σf(x) = Σ(c(x + 1)^2) = cΣ(x + 1)^2 = 1
Without a specified range for x, we cannot solve for c.

(e) f(x) = x/c
This is the same as part (a), so we cannot solve for c without a specified range for x.

(f) f(x) = c/(x+1)(x+2)
Using the hint, we can rewrite f(x) as:
f(x) = c(1/(x+1) - 1/(x+2))
Using the second condition:
Σf(x) = Σ(c(1/(x+1) - 1/(x+2))) = cΣ(1/(x+1) - 1/(x+2)) = 1
We can use the formula for a telescoping series to find the sum:
Σ(1/(x+1) - 1/(x+2)) = 1 - 1/(x+2)
As x approaches infinity, the sum approaches 1.
So, c = 1

To depict each pmf as a line graph, we would plot the values of f(x) on the y-axis and the values of x on the x-axis. However, without a specified range for x, we cannot create accurate graphs for parts (a), (b), (d), and (e). For part (c), the graph would be a decreasing exponential curve, with f(x) approaching 0 as x increases. For part (f), the graph would be a decreasing curve, with f(x) approaching 0 as x increases.

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Answer:

Over several years, snow falls on a glacier and gradually compacts into ice.

Step-by-step explanation:

Hope It Helped :)

Answer: 81

Step-by-step explanation: 27 times 3 = 81

Answer: 81

Step-by-step explanation: 21 times 3

Answer:

Final population after 10 years

= 288911718

Step-by-step explanation:

Present population p = 258,316,051

Rate of growth R%= 1.12%

Number of years t= 10 years

Number of times calculated n = 10

Final population A

= P(1+r/n)^(nt)

A= 258,316,051(1+0.0112/10)^(10*10)

A= 258,316,051(1+0.00112)^(100)

A= 258,316,051(1.00112)^100

A= 258,316,051(1.118442762)

A= 288911717.6

Approximately A= 288911718

Final population after 10 years

= 288911718

When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip. Sylvia uses this video clip as a discrepant event because students attached with science it would look like magic for them.

A discrepant occurrence is an unexpected, counterintuitive result that differs from what an observer would typically anticipate. Oobleck is a classic illustration of a discrepant event.

Most kids (who have never seen it before) wouldn't anticipate that it would have both solid and liquid qualities. They didn't anticipate it to spread out right away once the "ball" was placed on the table instead of rolling into a ball and taking shape.

The main factor is that pupils will develop an obsession with science. They will see this as "magic," and they will be very interested in learning how it worked. After that, they'll be prepared to "amaze" their friends with both the "trick" and their subsequently displayed "smarts."

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