Solve the system equation.

Answer:

Option C is right answer.

Step-by-step explanation:

Given two equations as

2y + 4x = 18

2y – 3x = 4

We have to use substitution method.

From first equation find the value of y.

2y = 18-4x

Or y = 9-2x

Substitute this in II equation.

2(9-2x)-3x =4

18-4x-3x =4

-7x = 4-18 = -14

Divide by -7

x =2

Since y = 9-2x, substitute x=2 to get y

y = 9-2(2) = 5

Answer is (2,5)

To verify:

Substitute (2,5) in the given two equations to check.

2(5)+4(2) = 18 is right

2(5)-3(2) = 4 is also right.

Hence solution is (2,5)

Answer:

C. (2,5)

Step-by-step explanation:

Let us assume the total number of people surveyed be = 1500

People who own a dog = 925

People who also own a cat along with dog = 16

So, people who own only dog = 925-16 = 909

A.

The fraction of people who own both a dog and a cat are = [tex]\frac{925}{1500}[/tex]

= [tex]\frac{37}{60}[/tex]

B.

Number of people who own a dog and not a cat are = 909

In fraction it will be [tex]\frac{909}{1500}=\frac{303}{500}[/tex]

According to the table given:

Total number of students are = 20

Total number of boys are = 13 , out of which, 3 will be clowns, 2 will perform acrobats and 8 will be elephant trainers.

So, we have to find the the probability that the person(a boy) is a clown. The probability will be = [tex]\frac{3}{13}=0.230[/tex]

Hence, answer is 0.230

The probability the person is a clown, given they are a boy is:

                            0.23077

Let A denote the event that the person is a boy.

Let B denote the event that the person is a clown.

Then  A∩B denote the event that the person is a boy and is a clown.

Let P denote the probability of an event.

Hence, from the table that is given to us we get:

  P(A)=0.65

  P(A∩B)=0.15

We are asked to find the  probability the person is a clown, given they are a boy i.e. we are asked to find: P(B|A)

We know that:

    [tex]P(B|A)=\dfrac{P(A\bigcap B)}{P(A)}[/tex]

Hence, from the given values we have:

     [tex]P(B|A)=\dfrac{0.15}{0.65}\\\\\\P(B|A)=\dfrac{15}{65}\\\\\\P(B|A)=\dfrac{3}{13}=0.23077[/tex]

         Hence, the probability is:

                  0.23077

C) If you are a girl in this group, you are more likely to attend a 4-year college than a 2-year college..

The girls who are likely to attend 2-year college are 39.76% and who are likely to attend a 4-year college are 60.24%. That is option C is correct.

It is a process of making an important decision.

Given

During a particular year, 77 graduating boys chose to attend a 4-year college, while 34 boys attended a 2-year college.

83 girls chose a 4-year college, and 33 attended a 2-year college.

The boys who are likely to attend 2-year college are 44.16% and who are likely to attend a 4-year college are 55.84%.

Similarly,

The girls who are likely to attend 2-year college are 39.76% and who are likely to attend a 4-year college are 60.24%.

Then, option C is correct.

More about the conclusion link is given below.

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4 is the max number of toothpicks you can make

4* 3 1/5= 12 4/5

5* 3 1/5=16 that's too many

The distance between A and B is d = |B - A|

We have d = 3 and A = 12.

Substitute:

[tex]|B-12|=3\iffB-12=3\ \vee\ B-12=-3\qquad|\text{add 12 to both sides}\\\\B=15\ \vee\ B=9[/tex]

Using the order of operations, none of the provided expressions match with the given definitions (18, 44, 75, 13). It seems there's a mistake in the definitions.

This question requires you to use the order of operations, sometimes remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

It appears there may be a mistake in the definitions, as none of the terms match with their respective definitions.

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Answer:

The correct option is the last one.

Step-by-step explanation:

To transform the graph of [tex]y = x ^ 2[/tex] into [tex]y = -2(x - 2) ^ 2 + 2[/tex] the following steps are fulfilled:

1) Move the graph 2 units to the right:

Let [tex]y = f (x-2)[/tex] then [tex]y =(x-2) ^ 2[/tex] Notice that the cut point has been moved to x = 2.

2) Reflect on the x axis:

To reflect a graph on the x-axis we do [tex]y = -f(x)[/tex] Then [tex]f (x) = -(x-2) ^ 2[/tex]

3) Stretch according to factor 2.

For this we do [tex]y = 2f(x)[/tex]

Then we have [tex]f(x) = -2 (x-2) ^ 2[/tex]

4) Move up the graph in two units:

We do [tex]y = f(x) +2[/tex]

Then [tex]y = -2(x-2) ^ 2 +2.[/tex]

These steps coincide with those listed in the last option. Therefore the correct option is the last one.

"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"

To transform the graph from y • x^2 to y = -2(x - 2)^2 + 2, you need to translate 2 units to the right, reflect across the x-axis, stretch by the factor 2, and translate up 2 units.

The correct steps to transform the graph of y•x^2 to y = -2(x - 2)^2 + 2 are:

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Doesn’t make sense !

Answer:179383764382340279370974087283506230757326520

Step-by-step explanation:ugly ms.smith order 5000000000 pizza and got fat like druwisfat and explosed and died bye bitsh

The cross-section of a sphere, cut by a plane, is always a circle, and the radius of this circle would be the same as the sphere, which is 6 inches.

Given the description of the scenario in the question, the cross-sectional shape of the sphere formed after a plane cuts it is a circle. A spacer is always a circle when cut by a plane, no matter what direction the cut is made. If we think of the sphere as Earth, no matter where you slice it, you’ll get a circle. The diameter of this new circle would be identical to the diameter of the sphere, and hence, it’s got a radius of 6 inches.

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With assumptions about it being a *right* triangle and a and b being the legs, the answer is:  

B) 35.5°

y < 1 - 3x can alse be written as y < -3x + 1 (which crosses the y-axis at 1 and has a slope of -3 (aka rise over run of: down 3 and to the right 1)

The symbol (<) represents a dashed line that is shaded below.

Answer: A

endpoints of an interval

Answer:

a) Yes, each element in the range has only one domain value.

Step-by-step explanation:

To be a function a relation between two sets must follow at least one basic condition.

* All elements of the Domain must have its counterpart into the Range.

The question asks if an inverse function of this given one is still a function. Let's check it below.

That's why it's

a) Yes, each element in the range has only one domain value.

Let's assume

'a' , 'b' are zeros

so, we will find total zeros from graph

We can  curve touches x-axis

Let's assume it touches at x=b

so, there would be two zeros at x=b

it also crosses origin

so, another zero is at x=0

it crosses x-axis one more time

Let's assume that zeros at x=a

so, we have got four zeros

x=a,0,b,b

now, we can set up function

[tex]f(x)=(x-0)(x-a)(x-b)(x-b)[/tex]

we can also write as

[tex]f(x)=x(x-a)(x-b)^2[/tex].................Answer

For each, divide the amount by the number of wings

7 divided by 8: 0.875 = $0.88 per wing

10 divided by 12: 0.8333 = $0.83 per wing

17 divided by 20: 0.85 = $0.85 per wing

Looking at each result, the middle one (the $10 for 12 wings) is the best deal

The fraction is 7/8  is really close to 1, so you could estimate that the water level

changes by approximately -5 inches per month. The total change in the water

level at the end of the 3 month period would be approximately -15 inches.

Answer:

If the water level at the lake is decreased by the rate r each month, then the total change in water level at the end of the 3 month period is -3r.

Step-by-step explanation:

It is given that the water level at the lake continued to change at the same rate for 3 months in a row.

Let the water level at the lake is decreased by the rate r each month.

Change in the water level for 1 month period = -r units

Change in the water level for 2 month period = -2r units

Change in the water level for 3 month period = -3r units

So, we conclude that if the water level at the lake is decreased by the rate r each month, then the total change in water level at the end of the 3 month period is -3r.

The answer is 15 cause you start at 15 and go from there

15 is the correct answer to the fill-in-the-blanks in this problem.

1 pound = 16 ounces.

Divide by the cost by the number of ounces:

$12 / 16 ounces = 0.75 per ounce.

The cost per ounce is $0.75  (75 cents per ounce)

xy² = x · y · y

xz = x · z

LCM(xy², xz) = x · y · y · z = xy²z

[tex]\frac{450 (yards)}{5 (minutes)} = \frac{90 (yards)}{1 (minute)}[/tex] = 90 yards per minute

Do do this, you use the distance formula: time * speed = distance

So you do, 4.9 * 15.5 = 75.95

So, the rover will travel 75.95 centimeters in 15.5 seconds at a speed of 4.9 cm./s

The correct answer would be 75.95 centimeters

The correct option is:   B.  length: 14 cm, width: 6.4 cm

Explanation

The actual length of Lake Superior is 350 miles and the width is 160 miles.

The scale is given as:  1 cm = 25 miles

Suppose, the length and width of the lake on the map are  [tex]x[/tex] cm and [tex]y[/tex] cm respectively.

First, the equation according to the ratio of scaled length to the actual length will be....

[tex]\frac{x}{350}=\frac{1}{25}\\ \\ 25x=350\\ \\ x=\frac{350}{25}=14[/tex]

Now, the equation according to the ratio of scaled width to the actual width will be....

[tex]\frac{y}{160}=\frac{1}{25}\\ \\ 25y=160\\ \\ y=\frac{160}{25}=6.4[/tex]

Thus, the length and width of the lake on the map will be 14 cm and 6.4 cm respectively.

[tex]\dfrac{7}{12}x-\dfrac{1}{3}=\dfrac{1}{2}+\dfrac{3}{8}\\\\LCM(12,\ 3,\ 2,\ 8)=24\\\\\text{multiply both sides by 24}\\\\24\cdot\dfrac{7}{12}x-12\cdot\dfrac{1}{3}=12\cdot\dfrac{1}{2}+24\cdot\dfrac{3}{8}\\\\2\cdot7x-8=12+3\cdot3\\\\14x-8=12+9\\\\14x-8=21\qquad|\text{add 8 to both sides}\\\\14x=29\qquad|\text{divide both sides by 14}\\\\x=\dfrac{29}{14}[/tex]

To solve the equation, convert all fractions to have the same denominator. Then simplify the equation, and finally divide the obtained number by the coefficient of x to get the value of x.

To solve the equation 7/12x-1/3=1/2+3/8, we first need to simplify both sides of the equation by converting all the fractions to have the same denominator, which, in this case, is 24.

So we obtain the equation:(14/24)x-8/24=12/24+9/24. After simplifying this equation, we get: (14/24)x = 29/24. Diving 29/24 by 14/24 will give us the value of x.

This process is very similar to the one used for solving linear equations, you must combine like terms and isolate the variable on one side of the equation to find the solution.

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hang on just a seci think i got it

Answer:

Option C is the correct answer.

Step-by-step explanation:

We have arc length = Radius x Angle in radian

Radius = 26 inches

[tex]\texttt{Angle rotated }= 80^0=80\times \frac{\pi}{180}=\frac{4\pi}{9}[/tex]

Arc length = [tex]l=\frac{4\pi}{9}\times 26=11.56\pi[/tex]

Length of the arc of the tire that touched the ground = 11.56π

Option C is the correct answer.

The answer is choice D.

First, find the slope (m) using the formula: [tex]m=\frac{y_{2}- y_{1} }{x_{2} - x_{1} }[/tex]

[tex]m=\frac{11 - 6}{-1 - 0}[/tex] = [tex]m=\frac{5}{-1}[/tex] = -5

Next, plug in the slope (m) and ONE point (x₁, y₁) into the Point-Slope equation:

y - y₁ = m(x - x₁)

y - 6 = -5(x - 0)

y - 6 = -5x

   y = -5x + 6

Answer: D

To graph 24x + 25 = -6y + 7, first rearrange it to the form y = mx + b. In our case, y = -4x -3. Plot the y-intercept (0, -3) first, then use the slope (-4) to find a second point (1, -7). Connect these points to form the graph.

To graph the equation 24x + 25 = -6y + 7, the first step is to rewrite the equation in slope-intercept form, or y = mx + b, where m is the slope of the line and b is the y-intercept (where the line crosses the y-axis).

Add 6y to both sides of the equation 24x + 25 = -6y + 7 to get 6y = 24x + 25 - 7. Then, rearrange the equations and divide all terms by 6 to get y = -4x - 3.

Now, we can identify the slope and y-intercept. The slope (m) is -4 and the y-intercept (b) is -3. Using these, we can plot two points on a graph. The first point is the y-intercept which is at (0, -3), the point where the line crosses the y-axis.

The slope of -4 means for every step to the right on the x-axis, we go down 4 steps. Therefore, our second point would be at (1, -7). Connect these two points with a straight line, and you have graphed the equation.

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Answer:

Option C is correct

(6, 5)  ordered pair comes from the table

Step-by-step explanation:

For this, we must indicate which of the ordered pairs shown belongs to the given table.

x y

3 4

4 4

5 2

6 5

The ordered pair is in the form of (x, y).

Option A:

(x, y) = (4, 3)

This pair is not found in the given table.

Option B:

(x, y) = (5, 6)

This pair is not found in the given table.

Option C

(x, y) = (6, 5)

This pair is  found in the last row of the given table.

Option D:

(x, y) = (2, 5)

This pair is not found in the given table.

Therefore,  (6, 5)  ordered pair comes from the table

To solve this problem you must apply the proccedure shown below:

1- Solve the substraction in the parenthesis and square it:

[tex]\frac{1}{3}+6(\frac{1}{2})^2\\\frac{1}{3}+6(\frac{1}{4})[/tex]

 2- Apply the distributive property and solve the addition:

[tex]\frac{1}{3}+\frac{6}{4}\=\frac{11}{6}[/tex]

The answer is: [tex]\frac{11}{6}[/tex]

[tex]\frac{1}{3} +6(\frac{2}{3} - \frac{1}{6})^2[/tex]

first we simplify the parenthesis

To simplify the fractions inside the parenthesis , we make the denominators same

[tex]\frac{1}{3} +6(\frac{2*2}{3*2} - \frac{1}{6})^2[/tex]

[tex]\frac{1}{3} +6(\frac{4}{6} - \frac{1}{6})^2[/tex]

[tex]\frac{1}{3} +6(\frac{3}{6})^2[/tex]

Simplify the fraction 3/6

[tex]\frac{1}{3} +6(\frac{1}{2})^2[/tex]

Now we square 1/2

[tex]\frac{1}{3} +6(\frac{1}{4})[/tex]

Multiply 6 inside the parenthesis

[tex]\frac{1}{3} +\frac{6}{4}[/tex]

[tex]\frac{1}{3} +\frac{3}{2}[/tex]

Now make the denominators same to add fractions

[tex]\frac{1*2}{3*2} +\frac{3*3}{2*3}[/tex]

[tex]\frac{2}{6} +\frac{9}{6}[/tex]

[tex]\frac{11}{6}[/tex]