-3x-4y=-1, 3x-y=-4 solve by elimination

Answer:

5 one-third ft²

Step-by-step explanation:

rectangle=5ft (base) / 1/3ft (height)

triangle1=3ft (base) / 2ft (height)

triangle2=2/3ft (base) / 2ft (height)

area of rectangle=5x1/3

=5/3ft²

area of triangle1=3x2(1/2)

=3ft²

area of triangle2=2/3x2(1/2)

=2/3ft²

Total area=5/3+6+2/3

=16/3ft² or 5 one-third ft²

Answer:

A

Step-by-step explanation:

took the test on edg 2021

The distance of the next two stops if the map uses a scale of 1 centimeter = 7 kilometers is 70km

From the information, Allie, a professional golfer, is playing on a golf tour. The next two stops are 10 centimeters apart on a map of the tour.

We want to know how far apart are the next two stops if the map uses a scale of 1 centimeter = 7 kilometers.

Therefore, 1 centimetre = 7 kilometres.

In this case, 10cm will be:

= 10 × 7

= 70km

The distance is 70km.

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Answer:

43

Step-by-step explanation:

just trust me

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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The value of E(x) is 0.8695 and Var(x) is 0.5877

From the question, we have the following parameters that can be used in our computation:

n = 23

x = 4

k = 5

The value of E(x) is calculated as

E(x) = xk/N

Substitute the known values in the above equation, so, we have the following representation

E(x) = 4 * 5/23

E(x) = 0.8695

This is calculated as

Var(x) = E(x) * (1 - k/n) * ([n - x]/[n - 1])

Substitute the known values in the above equation, so, we have the following representation

Var(x) = (4 * 5/23) * (1 - 5/23) * ([23 - 4]/[23 - 1])

Evaluate

Var(x) = 0.5877

HEnce, the variance is 0.5877

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Answer:

Irrational

Step-by-step explanation:

It would be a irrational number because it’s a crazy decimal/pi and you can’t determine what number comes next.

Answer:

8/12 and 9/12

Step-by-step explanation:

hope this helps loves x

Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

The number of people were 200 in the theater when it was full.

What is a theater?

In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.

Given that, the theater was full when the movie began.

76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.

Apply algebraical operation that is addition to find the required answer.

Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.

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Answer:

Step-by-step explanation:

Switch the x and y variables

\(x=3^y\)

Solve for the new y value by taking the natural log of both sides

\(ln|x|=y*ln(3)\)

Divide both sides by the natural log of 3

\(\frac{\ln|x|}{\ln(3)} =y\)

Answer:

Each Shirt ≈ $2.49

Each Pair of Slacks ≈ $5.99

Each Sports Coat ≈ $7.99

Step-by-step explanation:

Mike took clothes to the cleaners three times last month.​

Let S denotes shirts, P denotes pair of slacks and C denotes sports coat.

First, he brought 4 shirts and 1 pair of slacks and paid ​$15.95.

Mathematically,

4S + P = 15.95      eq. 1

Then he brought 7 ​shirts, 4 pairs of​ slacks, and 1 sports coat and paid ​$49.38.

Mathematically,

7S + 4P + C = 49.38      eq. 2

​Finally, he brought 3 shirts and 1 sports coat and paid ​$15.46.

Mathematically,

3S + C = 15.46      eq. 3

We are asked to find how much was he was charged for each​ shirt, each pair of​ slacks, and each sports​ coat.

4S + P + 0C = 15.95               eq. 1

7S + 4P + C = 49.38              eq. 2

3S + 0P + C = 15.46               eq. 3

We have 3 equations and 3 unknowns, they can be solved simultaneously using calculator or using online system of equations solver.

Using online system of equations solver yields,

S ≈ $2.49

P ≈ $5.99

C ≈ $7.99

So that means Mike was charge $2.49 for each shirt, $5.99 for each pair of slacks and $7.99 for each sports coat.

So the answer is a³-b³

(a-b) (a²+ab+b²)

we just simply going to multiply both terms ----

a(a²+ab+b²)-b(a²+ab+b²)

a³+ a²b + ab²- a²b - ab² - b³

The terms a²b and ab² get cancel with each other and we left the following terms --

And we get are answer also and that is ----

Answer:

= a³-b³

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Answer:

Step-by-step explanation:

Hello,

-8/9 X 5/6 = -40 / 54. The greatest common factor they both go into is 20. Divide -40 and 54 by 20, and the answer simplified is -20/27, letter C.

              Hope this helps     ;)

Answer:

slope= 3/2

Step-by-step explanation:

y2-y1/x2-x1=slope

0-6/-3-1= -6/-4 or 3/2

Answer:

(1, 6) is 1 quadrant and (-3, 0) is 2nd quadrant

The value of x is 4.

To determine the value of x, we can use the concept of similarity between shapes.

Similar shapes have corresponding sides that are proportional to each other.

Given the dimensions of the first shape as 5, x, and 5, and the dimensions of the second shape as 30, 24, and 30, we can set up the following proportion:

5/x = 30/24

To solve for x, we can cross-multiply:

30 · x = 5 · 24

30x = 120

Dividing both sides of the equation by 30:

x = 120 / 30

x = 4

Therefore, the value of x is 4.

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Answer:

28 yards

Step-by-step explanation:

38+46=84

1 yard = 3 feet

1/3=x/84

84/3=24

Answer:

You can't cconstruct any triangle

Step-by-step explanation:

110+50+10=170  A triangle always has 180º

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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The total number of shirts in the dresser is 4y + ×. The correct option is A

We need to add up the number of shirts on each shelf.

The first shelf's shirt count is indicated with the number x.

y indicates how many shirts are present on each of the four remaining shelves.

We may add up the shirts on each rack to determine the overall number of shirts:

Total = x + y + y + y + y

Simplifying the expression, we have:

Total = x + 4y

Therefore, The total number of shirts in the dresser is 4y + ×.

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Answer:

Each section has length of 1.5 miles.

Step-by-step explanation:

The combined length of the highway is 3/4 of a mile

Priya’s class has adopted two equal sections of a highway to keep clean.

We need to find the length of each section.

As there are 2 equal sections, to find the length of each section divide the combined length of a length by 2.

\(l=\dfrac{3}{\frac{4}{2}}\\\\=1.5\)

Hence, each section has length of 1.5 miles.

Answer:

1.5

is the answer

Step-by-step explanation:

The median will be greater than the mean in a left-skewed distribution

We have,

In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.

A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.

When the data is skewed left, it means that the distribution is being pulled towards the left side.

This is because there are a few extreme values on the left side that are pulling the mean in that direction.

In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.

For a left-skewed distribution,

The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.

In a data distribution that is skewed left, the mean will be less than the median.

This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.

Therefore,

The median will be greater than the mean in a left-skewed distribution

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Answer:

the answer is 105

Step-by-step explanation:

because 5×3=15 so 15×7 =105

Answer:

Equals means a person or thing considered to be the same as another in status or quality.

Or the mathmatic term is be the same as in number or amount.

The surface area of the rectangular prism is 888 squared centimeters.

A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The surface area of a rectangular prism is expressed as;

S.A = 2( wl + hl + hw )

Where w is the width, h is height and l is length

Given the data in the diagram;

Plug the given values into the above formula and solve for the surface area.

S.A = 2( wl + hl + hw )

S.A = 2( (10 × 22) + (7 × 22) + (7 × 10) )

S.A = 2( 220 + 154 + 70 )

S.A = 2( 444 )

S.A = 888 cm²

Therefore, the surface area is 888 cm².

Option B) 888 cm² is the correct answer.

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Answer:  \(\csc(\theta)\)

==================================================

Work Shown:

\(\sin(\theta)+\cos(\theta)*\cot(\theta)\\\\\\\sin(\theta)+\cos(\theta)*\frac{\cos(\theta)}{\sin(\theta)}\\\\\\\sin(\theta)+\frac{\cos^2(\theta)}{\sin(\theta)}\\\\\\\frac{\sin^2(\theta)}{\sin(\theta)}+\frac{\cos^2(\theta)}{\sin(\theta)}\\\\\\\frac{\sin^2(\theta)+\cos^2(\theta)}{\sin(\theta)}\\\\\\\frac{1}{\sin(\theta)}\\\\\\\csc(\theta)\\\\\\\)

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Answer:

Testing a new drug developed for treating degenerative joint disease (DJD) in dogs

The major reason for separate assignment for each breed of dog is that:

E) There must be an equal number of dogs in each of the two treatment groups.

Step-by-step explanation:

One of the two groups is the experimental group (treatment group).  It receives the new treatment whose effect the researchers are interested in finding out.  The other half (group) is called the control group.  It receives the traditional drug.  This control group (also called the comparison group) ensures that the treatment the researchers are giving to the dogs causes the expected experimental results.  This means that the results of the two groups are compared to determine the different effects.

Answer:

\(13k - 5\)

Step-by-step explanation:

\(5(2k + 2) + 3(k - 5) = 10k + 10 + 3k - 15 \\ = 13k - 5\)