a rectangle is dilated by a scale factor of 2/3 about the center of the origin. what should the area of the pre-image be?

The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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Answer: 9 is true, 10 is false

Step-by-step explanation:

The key to these problems is to make sure the sequence of the letters is equal: 10 would be correct if they said DF ≅XZ

After the markup in the price, the new cost of goldfish will be equal to $4.45.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Cost of goldfish = $3.45

Markup = 29%

So, the price increase will be,

(3.45 × 29)/100

= 100.05/100

= 1.0005

So, the new price is,

$3.45 + $1.0005

= $4.4505 ≈ $4.45

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Answer:

20/ 11 and if u want it in decimal it's 1.818182

Answer:

v =5÷11×4

v=20÷11=

Step-by-step explanation:

1.82 is your answer may be it is wrong

Answer:

1) Given

2) Slope Formula

3) Multiply

4) If the product of the slopes of two non vertical lines is -1, then the lines are perpendicular

5) Perpendicular lines intersect to form right angles

6) Definition of right triangle

Answer:

17.18400

Step-by-step explanation:

When rounded to the nearest whole number, it's 17.

Hope this helped :)

Answer:

A 70°

Step-by-step explanation:

Angle of the triangle

=180-60-60

=60°

x= 180-60-50

=120-50

=70°

Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54

The symbol correctly compares those fractions 9/36 and 10/40 are less than ("<").

"<" is the proper notation to use when comparing these fractions less than(<).

By dividing the numerator and denominator by their largest common factor, we can simplify both fractions to see why:

9/36 = 1/4

10/40 = 1/4

Since neither fraction is larger than the other and they are both equal. However, because they are identical, neither fraction is greater than the other. By dividing the numerator and denominator by their largest common factor. In order to denote that they are not larger than one another, we use the symbol "<".

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Answer:

Rounded to the nearest hundredths, the volume of the cylinder is approximately 58.91 cm^3.

Step-by-step explanation:

To find the volume of a cylinder, you need to know its radius (r) and height (h). In this case, the radius is given as 5 cm and the height is 0.75 cm.

The formula for the volume of a cylinder is:

V = π * r^2 * h

where π is a mathematical constant approximately equal to 3.14159.

Let's substitute the given values into the formula:

V = π * (5 cm)^2 * 0.75 cm

V ≈ 3.14159 * (25 cm^2) * 0.75 cm

V ≈ 58.909 cm^3

Answer:

Step-by-step explanation:

1.  The slope is -5/2

2. There is no slope for the second one it's just y=3

3. The slope is 3

4. These are perpendicular lines

5. These lines are parallel.

6. These lines are neither perpendicular nor parallel.

7. These lines are perpendicular

8.  y = 4/3x - 2

9.  y = -1/2x + 5

10. x = -1  

Hope this helps!

Answer:

- Each sum which is larger than 10 can be found by first making a 10. For example, to find 8 + 5, we can write. \begin{align} 8+5 &= 8 + (2+3) \\ &= (8+2) + 3 \\ &= 10 + 3 \\ &= 13

Step-by-step explanation:

Adding 9 to another single digit number can also be done by first making a 10. For example.

- Hope this helped ^^

Reason: The two line segments CF and AH point in the same direction, and they never intersect. Therefore, we consider them parallel.

Skew lines are ones that point in different directions. An example of a pair of skew lines would be AB and DE. Skew lines never intersect, but we don't consider them parallel.

Answer:

A

f(x) = 1/4 x^2 + 3

Resultado

f(x) = x^2/4 + 3

x^2 + 12 = 4 f(x)

Forma alternativa

f(x) = 1/4 (x^2 + 12)

Raíces complejas

x = -2 i sqrt(3)

x = 2 i sqrt(3)

Answer:

25%

Step-by-step explanation:

Ok, so a die is rolled twice. The probability of rolling a number greater than three is 3/6 or 1/2 because 4, 5, and 6 are greater than three.

The probability of rolling a number greater than three the second time is also 3/6 or 1/2.

To get the answer of rolling both greater than three in a row, you simply multiply then together:

1/2 * 1/2= 1/4 So there is 1/4 chance or probability a number greater than 3 would be rolled twice in a row.

1/4 is the same as 25%

Answer:

It was a 33% decrease

Step-by-step explanation:

90 minutes - 60 minutes = 30 minutes

30/90= .333333333333

Answer:

He needs to study for an additional 30 minutes - 12 minutes = 18 minutes before taking a break.

Step-by-step explanation:

To determine how many more minutes Mason needs to study before taking a break, we can calculate the remaining study time.

Mason plans to study for 1 and 1-half hours, which is equivalent to 90 minutes.

He will take a break once he has studied for 1-third of the planned time, which is 1/3 * 90 minutes = 30 minutes.

Mason has already studied for 12 minutes.

Therefore, he needs to study for an additional 30 minutes - 12 minutes = 18 minutes before taking a break.

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Answer:

Mode 4

Step-by-step explanation:

Mean x¯¯¯ 4.3333333333333

Median x˜ 4

Mode 4

Range 7

Minimum 2

Maximum 9

Count n 6

Sum 26

Quartiles Quartiles:

Q1 --> 3

Q2 --> 4

Q3 --> 4

Answer:

-2jdjdididjjdjdkdjhd

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Carey's graph will be a straight line with a slope of -1 and a y-intercept of 3.

Carey correctly graphs a linear function with a slope of -1 and a y-intercept of 3. A linear function is represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

In this case, the slope is -1, which means that for every unit increase in the x-coordinate, the y-coordinate decreases by 1 unit. The y-intercept is 3, indicating that the graph intersects the y-axis at the point (0, 3).

To plot the graph, Carey starts by marking the point (0, 3) on the graph. Then, for every unit increase in the x-coordinate, Carey moves one unit downward. Similarly, for every unit decrease in the x-coordinate, Carey moves one unit upward. These steps ensure the correct slope of -1.

After connecting the points, Carey will obtain a line that starts at the y-intercept (0, 3) and slants downward, with a slope of -1. The resulting graph will be a straight line extending to both sides of the coordinate plane.

In conclusion, it is represented by the equation y = -x + 3.

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The fraction 9/10 is more than 78/100.

In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, and exponentiation) that are combined in a meaningful way.

To compare these two fractions, we can convert them to have a common denominator. In this case, the common denominator is 1000.

9/10 = (9/10) x (100/100) = 900/1000

78/100 = (78/100) x (10/10) = 780/1000

Now we can see that 900/1000 (which is equivalent to 9/10) is greater than 780/1000 (which is equivalent to 78/100).

Therefore, 9/10 is more than 78/100.

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Answer:

c=a2+b2=102+172≈19.72308

Step-by-step explanation:

a calculator bro its easy

Answer:

10.4%

Step-by-step explanation:

percent = part/whole * 100%

percent = $3830.50/$36,825 * 100%

percent = 10.4%

The equation that shows the point-slope form of the line passing through (3, 2) with a slope of (1/2) is:

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

In the point-slope form of a linear equation, the formula is y - y1 = m(x - x1), where (x1, y1) represents a point on the line, and m represents the slope of the line. By substituting the given values into the formula, we can determine the correct equation.

In this case, the given point is (3, 2) and the slope is (1/2). Plugging these values into the formula, we get:

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

This equation represents the line passing through the point (3, 2) with a slope of (1/2). It is in the point-slope form, which allows us to easily determine the equation of a line based on a given point and slope.

Therefore, the correct equation is y - 2 = (1/2)(x - 3).

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Answer: B

Step-by-step explanation:

Step-by-step explanation:

Whenever you have brackets, you have to multiply the outside with all of the insides.

6 + 4x(3+4) = 6 + [ (4x×3) + (4x×4) ]

= 6 + [ 12x + 16x ]

= 6 + 28x

Answer: 6+28x

The dimensions of the rectangular field are given as follows:

The perimeter of a rectangle is given by twice the sum of the length and the width of the rectangle, as follows:

P = 2(l + w).

For this problem, the perimeter is of 582 yards, hence:

2(l + w) = 582

l + w = 291.

The length of the field is 4 yards less than quadruple the width, hence:

l = 4w - 4.

Then the width is obtained as follows:

4w - 4 + w = 295

5w = 295

w = 295/5

w = 59.

The length is obtained as follows:

l = 4 x 59 - 4

l = 232 yards.

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Answer:

2/5 of a mile!

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Her home is 4/5 a mile away from school.

She took the bus 3/5 miles to her house, then walked 1/5 a mile to her house.

3/5-1/5 = 2/5

btw what r u studying on, just curious cause it looks like u studying in a bathtub

The monthly revenue is $1037

What is a linear equation in one variable?

A linear equation in one variable is equation whose degree is one and there is only one variable present.

We are given the monthly revenue received from selling a pair of earrings at a cost of d dollars is given by equation \(-7d^{2}+180d\)

We have to find the monthly revenue received when the cost is $17

That is d=17

Now we substitute d=17 in the given equation to find the monthly revenue

We get,

\(-7d^{2}+180d\\\)

⇒\(-7(17^{2})+180(17)\\\)

⇒ -2023+3060

⇒1037

Hence the monthly revenue earned is $1037

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