Lisa's teacher wrote the following equations of a translations the board: x' = 2-x and y'= y - 3 wx'hat would be the translation of point K(-3, -1)a. ( 5,-2)b. (-1, -4)c. (-1, -2)d. (5, -4)

Hypatia is correct if she multiply the first equation by "-1" and then add equations together, x will be eliminated.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Here the equations are not given:

So we are assuming the equations are:

x + y = 3  ...(1)

x + 2y = 2  ...(2)

If Hypatia multiplies the first equation by "-1" and then add equations together.

- (x + y ) = -3

-x -y = -3

x + 2y = 2

__________

    y = -1

Plug the above value in the equation (1):

x = 4

Thus, Hypatia is correct if she multiply the first equation by "-1" and then add equations together, x will be eliminated.

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Answer:

the mean would increase to a value to about 24.6

Q2: median is 7.

Step-by-step explanation:

Answer:

Q1) the mean would increase in value to about 24.6

Q2) 7

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

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Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

Answer:

Step-by-step explanation:

The question is not clear as to which noun the "it" refers to... box or surface area.

Your answer is correct if you are asked to scale up the SURFACE AREA of the box. 22.7(10) = 227 in²

If the BOX itself is to be scaled by a factor of ten, then each box dimension is ten times longer than original and the area is scaled by 10² = 100.

22.7(10²) = 2270 in²

Answer:

2270

Step-by-step explanation:

You don't multiply 22.7 by 10.

Because the box ITSELF is becoming 10 times larger, which means that the length, width and height becomes larger than 10.

Let's look at an example:

1×2 =2

Scale both of them up by a factor of 10.

10×20=200

Since both factors were scaled up by multiplying 10, the product is scaled up by a factor of 100.

So 22.7 times 100 is 2270

The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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Answer:

The answer is "6.635776".

Step-by-step explanation:

If the proportion estimation is not given, then the approximate is true. So, it is in the top condition, which referring its overall error margin that is equal to 0.5.  

Therefore the margin of error=0.05   With z=2.576  

\(\to 0.05=2.576 \times \sqrt{(0.05 \times \frac{0.05}{N})}\\\\\to 0.05=2.576 \times \sqrt{( \frac{0.0025}{N})}\\\\\to \sqrt{N}= \frac{2.576 \times 0.05}{0.05}\\\\\to \sqrt{N}= 2.576\)

square the above equation:

\(\to (N)^2= (2.576)^2\\\\\to N^2= 6.635776\\\\\)

So the number of required residents=6.635776

(1, 3) is not a solution to the system of linear equations and (2,1) is a solution to the system of linear equations.

What are linear equations?

To check if the ordered pair (1, 3) is a solution to the system of linear equations:

2x + y = 5 ...(1)

−3x + 5y = −1 ...(2)

Substitute x = 1 and y = 3 in equations (1) and (2), respectively:

2(1) + 3 = 5 ...(1)

−3(1) + 5(3) = −1 ...(2)

Simplifying these equations:

2 + 3 = 5 (true)

−3 + 15 = −1 (false)

Therefore, (1, 3) is not a solution to the system of linear equations.

To check if the ordered pair (2,1) is a solution to the system of linear equations:

2x + y = 5 ...(1)

−3x + 5y = −1 ...(2)

Substitute x = 2 and y = 1 in equations (1) and (2), respectively:

2(2) + 1 = 5 ...(1)

−3(2) + 5(1) = −1 ...(2)

Simplifying these equations:

4 + 1 = 5 (true)

−6 + 5 = −1 (true)

Therefore, (2,1) is a solution to the system of linear equations.

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Solving a system of equations we will see that they need to use:

Let's define the variables:

x = kilograms of the 10% fat-content chocolate.

y = kilograms of the 30% fat-content chocolate.

We know that they want to create 100kg, then:

x + y  =100

And the fat content must be 18%, then we can write the concentration equation:

0.1*x + 0.3*y = 0.18*100 = 18

The coefficients are the percentages in decimal form.

Now we have a little system of equations:

x + y  =100

0.1*x + 0.3*y = 18

Isolating x on the first one we get:

x = 100 - y

Replacing that in the other equation we get:

0.1*(100 - y) + 0.3*y = 18

10 + 0.2*y = 18

0.2*y = 18 - 10 = 8

y = 8/0.2 = 40

They need to use 40kg of the 30% chocolate and 60kg of the 10% chocolate.

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Answer:
V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Step-by-step explanation:

Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.

Write the equations:

V + S + L = 310 (total number of vehicles)

V = 2S (twice as many vans as small trucks)

35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)

Substitute equation 2) into equation 1):

2S + S + L = 310

3S + L = 310

Simplify equation 3) by substituting V = 2S:

70,000S + 70,000S + 60,000L = 15,000,000

140,000S + 60,000L = 15,000,000

Set up a system of equations:

3S + L = 310

140,000S + 60,000L = 15,000,000

Eliminate L by multiplying equation 1) by 60,000:

60,000(3S + L) = 60,000(310)

180,000S + 60,000L = 18,600,000

Subtract equation 2) from the new equation:

(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000

40,000S = 3,600,000

Solve for S:

S = 90

Substitute the value of S into equation 1) to solve for L:

3(90) + L = 310

270 + L = 310

L = 40

Substitute the values of S and L into equation 2) to solve for V:

V = 2S

V = 2(90)

V = 180

The final answer is:

V = 180 (vans)

S = 90 (small trucks)

L = 40 (large trucks)

Answer:

180 Vans 90 Small trucks and 40 Large trucks

Step-by-step explanation:

Answer:

non equivelent

Step-by-step explanation:

just as an example to prove my awnser lets make a=1 and b=2

3(1+2)=9

3(1)+2=5

it would be equivelent if they both equaled the same number. :P

Answer:

57327392393629324

Step-by-step explanation:

Answer:

1

11111222223333334444554444667899ppojhgbsicudjejviwoiri3iw

Answer:

4

Step-by-step explanation:

\(\frac{sin 30}{1+cos 30} +\frac{1+cos 30}{sin 30} \\=\frac{sin 30(1-cos30)}{(1+cos30)(1-cos30)} +\frac{1+cos30}{sin 30} \\=\frac{sin30(1-cos30)}{1-cos^230 } +\frac{1+cos30}{sin 30} \\=\frac{sin 30(1-cos30)}{sin^2 30} +\frac{1+cos30}{sin30} \\=\frac{1-cos30}{sin30 } +\frac{1+cos30}{sin30} \\=\frac{1-cos30+1+cos 30}{sin 30} \\=\frac{2}{sin 30} \\=\frac{2}{\frac{1}{2} } \\=4\)

The area of the shaded region is 3915 units².

We have,

Area of the sector.

= 13.08 units²

Now,

To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.

Area = √[s(s - a)(s - b)(s - c)]

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case,

The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:

Calculate the semi-perimeter:

s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units

Use Heron's formula to find the area:

Area = √[7(7 - 5)(7 - 5)(7 - 4)]

= √[7(2)(2)(3)]

= √[84]

≈ 9.165 units (rounded to three decimal places)

Now,

Area of the shaded region.

= Area of the sector - Area of the isosceles triangle

= 13.08 - 9.165

= 3.915 units²

Thus,

The area of the shaded region is 3915 units².

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Answer:  Therefore, at the start of the game, Peter had 80 marbles and Jack had 80 marbles.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

3x6 is 18 so therefore its B

Answer: The value of x is 49.

Step-by-step explanation:

To find the value of x, you will first need to cross multiply the fractional variables together.

5x - 80 = 3x + 18

Then, move the numerical term 80 to the right side of this equation and add it to 18.

5x - 80 = 3x + 98

Move 3x to the left side of the equation and subtract it this time to the variable 5x.

2x = 98

Finally, you divide both of the equation's sides by 2 and you will get 49.

x = 49

When you actually add x to this problem, you would get 33/55.

49 - 16/49 +6 = 33/55

You can then simplify 33/55 and get the same answer 3/5.

3/5

Therefore, the value of x for this variable equation with the fractions would be equal to x = 49. Hope this helps!

-From 5th Grader Honors Student

Answer:

6 burgers

Step-by-step explanation:

1.14/9 = 6

The numeric value of each composite function is given as follows:

The functions in this problem are defined as follows:

From the composition of q and p, we have that:

\((q \circ p)(x) = q(p(x)) = q(x^2 + 9) = \sqrt{x^2 + 9 + 8} = \sqrt{x^2 + 17}\)

At x = 8, the numeric value is found replacing the lone instance of x by 8, hence:

\(\sqrt{8^2 + 17} = \sqrt{81} = 9\)

From the composition of p and q, we have that:

\((p \circ q)(x) = p(q(x)) = p(\sqrt{x + 8}) = (\sqrt{x + 8})^2 + 9 = x + 8 + 9 = x + 17\)

At x = 8, the the numeric value is found replacing the lone instance of x by 8, hence:

8 + 17 = 25.

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Answer:

\(3\frac{3}{8}\)

Step-by-step explanation:

Let LC be Lake Carl, LS be Lake Susan, and LW be Lake Wayne

First, find a way to denote all the lakes using one lake depth

LC = 1 1/8

LS = 3LC

LW = 3LS or 6LC

Then write an equation.

LW - LS = 6LC - 3LC = 3LC

Substitute LC and calculate.

3 * 1 1/8 = 3 3/8

Hope this helps :)

Have a great day!

Hello!

y = 88° (opposite are equal)

z = 180° - 128° = 52° (straight angle = 180°)

x = 180° - 140° = 40° (straight angle = 180°)

Answer:

x=40°

y=88°

z=52°

Step-by-step explanation:

Solution Given:

x+140°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for x.

x=180°-140°

x=40°

\(\hrulefill\)

y°=88°

Since the vertically opposite angle is equal.

therefore, y=88°

\(\hrulefill\)

z+128°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for z.

z=180°-128°

z=52°

Answer:

it's the3rd one

Step-by-step explanation:

it's is 182 feet

Both g(x) = 5 - x² and h(x) = \(5 - e^(6-^x^)\)have the same range as f(x) = -2√(x) - 3 + 8, which is (-∞, 5].

To determine which function has the same range as f(x) = -2√(x) - 3 + 8, we need to first find the range of f(x).

The square root function √(x) takes non-negative values as input and gives non-negative outputs, so the expression -2√(x) will always be non-positive. Therefore, the range of f(x) will be all real numbers less than or equal to -3 + 8, which is 5.

In other words, the range of f(x) is (-∞, 5].

So, we need to find a function whose range is also (-∞, 5]. One possible function is g(x) = 5 - x². We can see that when x is zero, g(x) is at its maximum value of 5, and as we increase or decrease x, g(x) will decrease, eventually approaching negative infinity.

Another possible function is h(x) = 5 - e^(-x). When x is negative infinity, e^(-x) is approaching positive infinity, so h(x) is approaching 0. As we increase x, e^(-x) is approaching zero, so h(x) is approaching 5.

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Answer: The answer is going to be

120 x 65%/3

Answer: (5 , 1)

Step-by-Step explanation:

hihi your problem is a system of question y = x-4 and  y = -x+6 okay so  graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!

y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right

y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left

once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!

the solution is  x = 5 and y = 1 which is also (5 , 1)

hopefully this was helpful !