solve systems using elimination (x + 5y= 28) ( -x - 2y = -13)

Answer:

[tex]3 {x}^{2} + 2x[/tex]

Step-by-step explanation:

Expanding brackets means multiplying every term inside the bracket by the term on the outside and then collecting like terms with the aim of removing the set of brackets

[tex]x(3x + 2) = 3 {x}^{2} + 2x[/tex]

3x² + 2x

Given equation, x(3x + 2)

                            = x(3x + 2)

                       Distributive property

                            = {(x * 3x) + (x * 2)}

                            = {(1 * x * 3 * x) + (1 * x * 1 * 2)}

                                  Rearranging like terms

                            = {(1 * 3 * x * x) + (1 * 1 * 2 * x)

                            = [{(1 * 3) * (x * x)} + {(1 * 1 * 2) * x)}]

                            = {(3 * x²) + (2 * x)}

                            = (3x²) + (2x)

                            = 3x² + 2x

Answer:

A3

B1

C2

D4

Step-by-step explanation:

The property of the given expression [tex]2(x +3) = 2x + 6[/tex] is an example of Distributive property.

You distribute the 2 to the x and get 2x, then distribute the 2 and the 3. [tex]2\times3=6[/tex]. This gets you [tex]2x+6[/tex].

Answer: Distributive property over addition

Step-by-step explanation: You are distributing 2 to in terms inside the parentheses, x and 3.

To expand the square of the binomial `(4x-5y)²`, you can use the FOIL method or the binomial square formula:

Using FOIL:

(4x - 5y)² = (4x - 5y)(4x - 5y) (writing out the square as a multiplication of the binomial by itself)

= 16x² - 20xy - 20xy + 25y² (using the FOIL method)

Simplifying:

= 16x² - 40xy + 25y²

Using the binomial square formula:

(4x - 5y)² = (4x)² - 2(4x)(5y) + (5y)² (formula: (a - b)² = a² - 2ab + b²)

= 16x² - 40xy + 25y²

Thus, the expanded form of the binomial `(4x-5y)²` is `16x² - 40xy + 25y²`.

Answer:

i do not know where the following is but here.

Step-by-step explanation:

To square the binomial (4x-5y)², we can use the formula:

(a - b)² = a² - 2ab + b²

In this case, a = 4x and b = 5y. So, we have:

(4x - 5y)² = (4x)² - 2(4x)(5y) + (5y)²

Simplifying the terms inside the parentheses, we get:

= 16x² - 40xy + 25y²

Therefore, the square of the binomial (4x-5y) is equal to the trinomial 16x² - 40xy + 25y².

Each term in the trinomial is obtained by squaring the corresponding term in the binomial and then applying the formula for the cross-product (-2ab).

So, (4x)² = 16x², (5y)² = 25y², and (-2)(4x)(5y) = -40xy.

Therefore, (4x-5y)² = 16x² - 40xy + 25y².

Answer: 2n + 8

Step-by-step explanation:

1st part:
n + 4

2nd part:
Multiplies the 1st part by 2

2(n + 4)

2n + 8

Answer:

D. Angles 2,4

Step-by-step explanation:

They are both adjacent, which makes the answer D. the correct answer.

Answer:

B

Step-by-step explanation:

Both have a common vertex and side (next to each other).

Answer: DFE

Step-by-step explanation:

complementay=90 degrees

a. The outlier in the data set is Crater lake with a depth of 1,148 feet.

b. The outlier has a significant effect on the mean and range of the data but no effect on the median and mode.

c. The median and mode are measures of center that are less influenced by outliers, so they best describe the data with or without the outlier.

An outlier is a single data point that deviates significantly from the average value of a set of statistics. Outliers are exceptions that exist outside of individual population samples.

The mean is heavily influenced by outliers, so the outlier in this case increases the mean depth of the lakes. The range is the difference between the highest and lowest values, so the outlier also increases the range.

Without the outlier, the median depth is 33.5 feet, which is closer to the majority of the depths in the data set. Therefore, the median is the best measure of center for this data set without the outlier. With the outlier included, the median depth is still 43 feet, and the mode is also 43 feet, so either measure could be used to describe the center of the data set.

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Answer: 4,763cm

Step-by-step explanation:

figure out the first rectangle, 70 x 48=  3360

Then find the bottom number with the inner height 38 x 23 = 874

Next, you would move the triangle that is dotted over to the undotted on on the right to get a square giving you 23 x 23 = 529

In the end you add it all 3,360 + 874 + 529 = 4,763

Step-by-step explanation:

5x=0.4
5x=2/5
Multiply with 5 to remove the fraction

Answer:

1.5

Step-by-step explanation:

[tex]30\div20[/tex]

The solution is, the scale factor is 1.5.

A scale factor is when you enlarge a shape and each side is multiplied by the same number. This number is called the scale factor. Maps use scale factors to represent the distance between two places accurately.

here, we have,

given that,

from the given diagram, we get,

there are two squares with side 20 and, 30

one square is scaled copy of the other,

so, the scale factor is :

length of scaled square/ length of normal square

= 30/ 20

=3/2

=1.5

Hence, The solution is, the scale factor is 1.5.

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Question:

whats the surface area of this rectangle?

1cm 8cm 4cm

Answer:

13 cm

Answer:no

Step-by-step explanation:

it does not have 4 sides.

Answer:

1250

Step-by-step explanation:

To calculate the area of the playground, we need to divide it into two smaller polygons: a rectangle and a right triangle.

The rectangle has a width of 50 yards and a height of 18 yards, so its area is:

50 yards x 18 yards = 900 square yards

The right triangle has a base of 20 yards and a height of 35 yards, so its area is:

(20 yards x 35 yards) / 2 = 350 square yards

The total area of the playground is the sum of the areas of the rectangle and the triangle:

900 square yards + 350 square yards = 1250 square yards

Therefore, the answer is not listed among the options provided. Perhaps there was an error in the given dimensions, or the correct answer was not included.

Answer:

Step-by-step explanation:

6.25 inches

Fraction of an inch that is used to represent 3 miles = 3/4 inch (0.75 inch)

Number of miles that is used to represent 3/4 inch = 3 miles

Fraction of an inch that is used to represent 1 mile = 3/4/3 inch

                                                                                        = 0.75/3

                                                                                        = 0.25 inch

Number of inches that are used to represent 25 miles = 3/4/3 * 25

                                                                                              = 0.75/3 * 25

                                                                                              = 0.25 * 25

                                                                                              = 6.25 inches

So the length of the map = 6.25 inches

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√50 = 7.071

So the dot will be very close to the right side of 7.

Hope my answer helps you✌️

Mark BRAINLIEST

The distance between -4 and its opposite on the number line is 8 units

We know that opposite of 4 is −4.

So, we need to find the distance between 4 and −4 on number line.

We know that absolute value of −4 and 4 is 4

So, the distance between −4 and 4 is 8 units.

Answer:

50x5

Step-by-step explanation:

Answer:

y = 6

z = 3.25

x = 3.5

Step-by-step explanation:

12 * 0.5 = 6

6.5 * 0.5 = 3.25

7 * 0.5 = 3.5

X = 3.5 inches

Y = 6 inches

Z = 3.25 inches

Length of the larger tissue box = 12 inches

Breadth of the larger tissue box = 6.5 inches

Height of the larger tissue box = 7 inches

The small tissue box is dilated by - 0.5

So, the measures of the smaller tissue box is 0.5 times the larger tissue box.

Measures of the smaller box will be -

Length of the smaller tissue box = 12 * 0.5

                                                        = 6 inches

Breadth of the smaller tissue box = 6.5 * 0.5

                                                          = 3.25 inches

Height of the smaller tissue box = 7 * 0.5

                                                        = 3.5 inches

According to the variables,

X = Height

Y = Length

Z = Breadth

Height = 3.5 inches

Length = 6 inches

Breadth = 3.25 inches

X = 3.5 inches

Y = 6 inches

Z = 3.25 inches

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Answer: It would take her 45 minutes to jog 5 miles because first you have to divide 27 by 3 and you get 9 and then you multiply 9 by 5 and you get 45

The scale is 1cm = 50m

So height in model = 381/50

                                = 7.62cm

Answer: 7 31/50 cm

Step-by-step explanation:

The scale is 50 m = 1 cm

381 divided by 50 is 7 r31

This means that the height of his model in centimeters is 7 31/50 cm.

Hope this helps!

Answer:

Original box costs less than the new box.

Step-by-step explanation:

A). original box has a surface are of 216 sq in

2(10x6)+2(6x3)+2(10x3) = 216sq in

216sq in/144sq in = 1.5sq ft

1.5 sq ft x .22 = .33 per sq ft

B) new box has a surface area of 434 sq in

2(15x11) + 2(11x2) + 2(15x2) = 434 sq in

434sq in/144 sq ft = 3.01sq ft

3.01 sq ft x .15 = .45 per sq ft

Answer:

Step-by-step explanation:

For Keiko's trend line equation, we have t = 0.95a + 59. Plugging in a = 16, we get t = 0.95(16) + 59 = 74.2. Rounding to the nearest whole number, we get t ≈ 74.

For Eric's trend line equation, we have t = 0.55a + 90. Plugging in a = 16, we get t = 0.55(16) + 90 = 98.8. Rounding to the nearest whole number, we get t ≈ 99.

Therefore, a 16 year old would send approximately 74 texts per day based on Keiko's trend line equation and approximately 99 texts per day based on Eric's trend line equation. So, the answer is Keiko = 74, Eric = 99.

The solution is, a 16 year old would send approximately 74 texts per day based on Keiko's trend line equation and approximately 99 texts per day based on Eric's trend line equation.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

For Keiko's trend line equation,

we have t = 0.95a + 59.

Plugging in a = 16,

we get t = 0.95(16) + 59 = 74.2.

Rounding to the nearest whole number, we get t ≈ 74.

and, we have,

For Eric's trend line equation,

we have t = 0.55a + 90.

Plugging in a = 16,

we get t = 0.55(16) + 90 = 98.8.

Rounding to the nearest whole number, we get t ≈ 99.

Therefore, a 16 year old would send approximately 74 texts per day based on Keiko's trend line equation and approximately 99 texts per day based on Eric's trend line equation.

So, the answer is Keiko = 74, Eric = 99.

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