Part 1: solve the system using linear combination or substitution. show all work. (4
points)
s
3х
-12
бу
2y
х
-8
part 2: classify the system as consistent independent, inconsistent, or coincident. (2
points)

Answer:

95

Step-by-step explanation:

Let x be the number of children

10x+35 = money

15x+5 = money

Set  the equations equal

10x+35 = 15x+5

Subtract 10x from each side

35 = 5x+5

Subtract 5 from each side

30 =5x

Divide by 5

30/5 =5x/5

6 =x

There are 6 children

10x+35 = money

10(6) +35

60+35

95

The amount of money is 95

We get that, the name of the point of intersection of the plane BSE and plane URE is point E.

We are given a 3 D diagram of a cube

We need to tell the name of the point of intersection of the plane BSE and plane URE.

The intersection of the planes can be found out by identifying the vertex that is common is both the planes.

There will a common vertex via which both the planes will be passing which will be the intersection point of both the planes.

Here, we have two planes:

BSE and URE

We can see that the vertex E is common in both the planes.

So, it will be the intersecting point of both the planes.

Therefore, we get that, the name of the point of intersection of the plane BSE and plane URE is point E.

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Answer:

19 inches total

Step-by-step explanation:

The conclusion that can be nade about the large pizza is that the greatest range is 11. 99 dollars. Option B is correct

The range of a data set can be defined as the difference that lies or exists between the largest value in the data set and the smallest value.

This is what is also referred to as the maximum and and the minimum value

In the question here, the maximum value is given as 17.99

The minimum value is given as 6

The range = 17.99 - 6

Range = 11.99

Hence option B is the best answer here

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Answer:

239 miles per gallon for a round trip.

Step-by-step explanation:

you'd need to achieve 238,900 / 2000 = 119.5 miles per gallon for a one way trip,

The value of LOM is 43°.

To find the value of LOM, we need to equate the angles LOM and MON and solve for x. Given that LOM = 3x + 38° and MON = 9x + 28°, we have:

LOM = MON

3x + 38° = 9x + 28

Next, we can solve the equation for x:

3x - 9x = 28° - 38°

-6x = -10°

x = -10° / -6

x = 5/3

Now that we have the value of x, we can substitute it back into the equation for LOM to find its value:

LOM = 3x + 38°

LOM = 3(5/3) + 38°

LOM = 5 + 38°

LOM = 43°

Therefore, the value of LOM is 43°.

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Answer: 6x+18

Step-by-step explanation: you just have to distribute so you multiply the six with whatever is inside so 6 times x is 6x + 6 times 3 is 18 so the answer is 6x+18 we cant simplify anymore

A rectangle's length is 5 inches greater than its width. if the perimeter of the rectangle is 42 inches, then the length is 13 inch.

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, we have,

a rectangle's length is 5 inches greater than its width.

if the perimeter of the rectangle is 42 inches

let, width = x

then, length = x+5

so, perimeter= 2(x+5 +x)

                      = 4x+10

ATQ, 4x+10 = 42

solving we get,

x=8

the length = 13

Hence, A rectangle's length is 5 inches greater than its width. if the perimeter of the rectangle is 42 inches, then the length is 13 inch.

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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The exact area A of the region bounded between the curve f(x) = 1 - ln(x) and the line g(x) = 1 over the interval [1, 5] is given by:

A = -5ln(5) + 5 units²

To find the area A of the region bounded between the curve f(x) = 1 - ln(x) and the line g(x) = 1 over the interval [1, 5], we can integrate the difference between the two functions over that interval.

A = ∫[1, 5] (f(x) - g(x)) dx

First, let's find the difference between the two functions:

f(x) - g(x) = (1 - ln(x)) - 1 = -ln(x)

Now, we can integrate -ln(x) over the interval [1, 5]:

A = ∫[1, 5] -ln(x) dx

To integrate -ln(x), we can use the properties of logarithmic functions:

A = [-xln(x) + x] evaluated from 1 to 5

A = [-5ln(5) + 5] - [-1ln(1) + 1]

Since ln(1) = 0, the second term on the right side becomes 0:

A = -5ln(5) + 5

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The number of tractors lent by the first, second and third stations results in a system of three simultaneous equations which indicates;

The first originally station had 39 tractors, the second station had 21 tractors and the third station originally had 12 tractors

Simultaneous equations are a set of two or more equations that have common variables.

Let x represent the number of tractors at the first station, let y represent the number of tractors at the second tractor station, and let z, represent the number of tractors at the third tractor station

According to the details in the question, after the first transaction, we get

Number of tractors at the first station = x - y - z

Number of tractors at the second station = y + y = 2·y

Number of tractors at the third station = z + z = 2·z

After the second transaction, we get;

Number of tractors at the first station = 2·x - 2·y - 2·z

Number of tractors at the second station = 2·y - (x - y - z) - 2·z = 3·y - x - z

Number of tractors at the third station = 2·z + 2·z = 4·z

After the third transaction, we get;

Number of tractors at the first station = 2 × (2·x - 2·y - 2·z) = 4·x - 4·y - 4·z

Number of tractors at the second tractor station = 6·y - 2·x - 2·z

Number of tractors at the third tractor station = 4·z - (2·x - 2·y - 2·z) - (3·y - x - z) = 7·z - x - y

The three equations after the third transaction are therefore;
4·x - 4·y - 4·z = 24...(1)

6·y - 2·x - 2·z = 24...(2)

7·z - x - y = 24...(3)

Multiplying equation (2) by 2 and subtracting equation (1) from the result we get;

12·y - 4·x - 4·z - (4·x - 4·y - 4·z) = 16·y - 8·x = 48 - 24 = 24

16·y - 8·x = 24...(4)

Multiplying equation (3) by 2 and multiplying equation (2) by 7, then adding both results, we get;

14·z - 2·x - 2·y = 48

42·y - 14·x - 14·z = 168

42·y - 14·x - 14·z + (14·z - 2·x - 2·y) = 48 + 168

40·y - 16·x = 216...(5)

Multiplying equation (4) by 2 and then subtracting the result from equation (5), we get;

40·y - 16·x - (32·y - 16·x) = 216 - 48 = 168

8·y = 168

y = 168/8 = 21

The number of tractors initially at the second station, y = 21

16·y - 8·x = 24, therefore, 16 × 21 - 8·x = 24

8·x = 16 × 21 - 24 = 312

x = 312 ÷ 8 = 39

The number of tractors initially at the first station, x = 39

7·z - x - y = 24, therefore, 7·z - 39 - 21 = 24

7·z = 24 + 39 + 21 = 84

z = 84/7 = 12

The number of tractors initially at the third station, z = 12

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

A hypothesis is an educated guess about a phenomenon that can be tested through experimentation or observation. The null hypothesis is the hypothesis that nothing is happening, and the alternative hypothesis is the hypothesis that there is an effect or difference. Reasonable doubt about a null hypothesis can be raised by finding evidence that contradicts it. A p-value is the probability that the results obtained in a study or experiment occurred by chance alone.

After analyzing a set of data, if the results support a hypothesis, this does not prove the hypothesis is true. This means the hypothesis is consistent with the data but further evidence or experimentation must be done to truly prove the hypothesis. After analyzing a set of data, if the results are inconsistent with a hypothesis, this does not prove the hypothesis is false. It could be due to chance or an inadequately tested hypothesis.

The reasoning of hypothesis testing is to determine if the results of a study or experiment support the null hypothesis or alternative hypothesis. A two-sided alternative hypothesis is when the difference between two groups is tested to be either greater or lesser than the reference value, whereas a one-sided alternative hypothesis tests the difference to be only greater or lesser than the reference value. A one-sided test is more conservative than a two-sided test as the former has a higher risk of making a type II error. The size of the effect when testing a hypothesis can be measured by the power of the test and the magnitude of the effect.

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Answer:

a burger

Step-by-step explanation:

because the cow is made into a burger lol

Answer:

B

Step-by-step explanation:

ez lol

Answer:

A??

Step-by-step explanation:

One pound is equal to 453.592 grams, in unit of measurement.

A predetermined, legally recognised, and frequently used magnitude of a quantity that serves as a benchmark when comparing other quantities of the same kind is referred to as a unit of measurement. Any extra quantity of that type can be expressed as a multiple of the measurement unit.

Length is an illustration of a physical quantity. The letter "M" stands for "metre," a measurement that stands in for a specific, predetermined length. "10 metres" refers to a length that is 10 times the exact, predetermined length known as "metre" (or 10 m).

From ancient times to the present, human endeavour has depended on the definition, acceptance, and practical application of units of measurement.

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Answer:

4+(-12x)

Step-by-step explanation: Hope this helped!

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Answer: 50.27

Explanation:

r=radius

Diameter/2 = radius

The formula is 3.14r^2

3.14(4)^2

50.27 is final answer

I hope this helped!

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Answer:

50.27

Step-by-step explanation:

A= π r^2

The radius is equal to half of the diameter.Which in this case would be 4 since your diameter is 8.

A = π * 4 ^2

A = 50.27

Answer:

0.4987

Step-by-step explanation:

What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.

We have that z is equal to:

z = (x - m) / (sd)

x is the value to evaluate, m the mean, sd the standard deviation

So for 80 we have:

z = (80 - 80) / (3)

z = 0

and this value represents 0.5

for 89 we have:

z = (89 - 80) / (3)

z = 3

and this value represents 0.9987

we subtract:

0.9987 - 0.5 = 0.4987

Which means that it represents 49.87%

If an asset purchased for $46,200 with a useful life of four years and an expected residual value of $6,300 is sold for $32,600 exactly two years after its purchase, the company will record a loss of $3,300.

The straight-line method is used to allocate the cost of an asset evenly over its useful life. In this case, the asset's initial cost is $46,200, and it has a useful life of four years.

The annual depreciation expense is calculated as the difference between the initial cost and the expected residual value, divided by the useful life:

($46,200 - $6,300) / 4 = $9,225 per year

After two years, the accumulated depreciation would be

2 years x $9,225 = $18,450.

If the asset is sold for $32,600, the loss on the sale would be the difference between the selling price and the book value (initial cost - accumulated depreciation):

$32,600 - ($46,200 - $18,450) = $32,600 - $27,750 = $4,850

However, since the loss ($4,850) exceeds the expected residual value ($6,300), the loss recorded would be limited to the difference between the selling price and the expected residual value:

$32,600 - $6,300 = $26,300

Therefore, the company will record a loss of $3,300 ($26,300 - $23,000) when the asset is sold two years after its purchase.

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Answer:

y = -3  x = 7

Step-by-step explanation:

2y - 3x = -27

5y + 3x = 6

3x cancels.

7y = -21

y = -3

Substitute y in 2y - 3x = -27

2(-3) - 3x = -27

-6 - 3x = -27

-3x = -21

x = 7

Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

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There are 210 different committees that can be formed by selecting 6 people from a list of 10 people.

What is the combination?

Combinations are a way to count the number of ways to choose a subset of objects from a larger set, where the order of the objects does not matter.

To calculate the number of different committees that can be formed, we can use the concept of combinations.

In this case, we want to select 6 people from a list of 10 people, and the order in which the committee members are selected does not matter.

The formula for combinations is given by:

C(n, r) = n! / (r! * (n - r)!)

where C(n, r) represents the number of combinations of selecting r items from a set of n items, and ! denotes factorial.

Using this formula, we can calculate the number of different committees that can be formed:

C(10, 6) = 10! / (6! * (10 - 6)!)

Simplifying:

C(10, 6) = 10! / (6! * 4!)

10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1

6! = 6 * 5 * 4 * 3 * 2 * 1

4! = 4 * 3 * 2 * 1

Substituting these values:

C(10, 6) = (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / ((6 * 5 * 4 * 3 * 2 * 1) * (4 * 3 * 2 * 1))

C(10, 6) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)

C(10, 6) = 210

Therefore, there are 210 different committees that can be formed by selecting 6 people from a list of 10 people.

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Answer:It will take 5 sec for a parachute to open.I did it on a piece of paper for u to show u more information

Step-by-step explanation:

Solving quadratic equation 16 t² -60t -100=0 formed by Projectile Motion Formula and given conditions it is found that it takes t = 5 seconds to fall from 1000 feet to 900 feet before the parachute opens.

Quadratic equation is an equation which contains one unknown variable and the highest power of this unknown variable is 2. Let x be the unknown variable then the standard quadratic equation in x is given by

ax²+bx+c =0, where a, b, c are constants and a≠0

We can solve this equation by factorizing ax²+bx+c and  putting those factors equal to zero to solve for x.

Projectile Motion Formula h = -16 t² + v t + s,

where t = time in seconds

h = height of the projectile

v = initial velocity

s= starting height of fall

Given s = 1000 feet, v= 60 feet per second, h = 900 ft

And t we have to find.

Projectile motion equation becomes:

900 = -16 t² + 60 t + 1000

⇒16 t² -60t + 900-1000=0

⇒16 t² -60t -100=0, which is a quadratic equation in variable t

Factorizing this quadratic equation

⇒ 16t² - 80t + 20t -100 =0

⇒16t(t -5) + 20( t - 5 ) =0

⇒ (16t +20) ( t-5)=0

Putting these factors equal to zero

16t +20 =0 ⇒ t = -20/16, which is neglected as time cannot be negative.

t-5 = 0⇒ t =5

Therefore it takes 5 seconds to fall from 1000 feet to 900 feet before the parachute opens.

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Answer:

y = 30/7

Step-by-step explanation:

For the linear equations provided by the coordinates in the table;

The first equation of this system is y = -2x.

The second equation of this system is y = x - 3.

The solution to the system is (1, -2).

We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.

The slope (m) is given by the formula (y2 - y1) / (x2 - x1).

For the first line, we can use the points (-5,10) and (-1,2)

m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.

the first equation is y = -2x

the second line, we can use the points (-8,-11) and (-2,-5)

m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.

the second line has a slope of 1,

the equation should have the form y = x + c.

To find c, we can use one of the points, for instance (-2,-5):

-5 = -2 + c => c = -5 + 2 = -3.

So, the second equation is y = x - 3.

the solution to the system, we need to find where the two lines intersect.

y = -2x

y = x - 3

Setting both equation equally

-2x = x - 3

=> 3x = 3

=> x = 1.

Substituting x = 1 into the first equation

y = -2(1) = -2.

the solution to the system of linear equation would be (1, -2).

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The coordinates of the vertices of the preimage triangle = (4, 1), (6,1) and (6, -6).

Given the figure of the image triangle.

The coordinates of the image triangle are (-4, 1) , (-6,1) and (-6, -6).

We are asked to find the coordinates of the preimage triangle.

The preimage triangle was reflected over the y-axis .

The image triangle is lying on the 2nd and 3rd quadrants.

So the preimage triangle will lie on the 1st and 4th quadrants.

Then the coordinate (-4,1) will be the image of (4,1).

(-6, 1) will be the image of (6,1) and (-6,-6) will be the image of (6,-6).

Hence the coordinates of the vertices of the preimage triangle = (4, 1), (6,1) and (6, -6).

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