Tickets to a movie cost $11 for adults and $7 for students. A group of friends purchased 8 tickets
for $76. Write a system of equations to represent the situation. How many adult tickets and
student tickets were purchased
PLEASE HELP ME

Answer: y+2=-4/5(x-3)

Step-by-step explanation:

The equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given is a slope of a line and a point passing by it, we need to find the equation of the line,

So, the general equation of the line is :-

y = mx + c

where, m is the slope, and the c is the y-intercept.

Put the value of the slope given, in the equation,

y = -4x+c

Now, for find the value of c, just put the values of the x and y from the point in the equation,

-2 = -4(3) + c

c = -2+12

c = 10

Now, we get the value of the c,

So, the equation is y = -4x+10

Hence, the equation of the line passing through the point (3, -2) with a slope of - 4 is y = -4x+10

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Full question attached

Answer and explanation:

Since x = number of true or false questions correct

And y = number of multiple choice questions correct

And each question for x =2 points

each question for y=3 points

since she then needs a total score of more than 93 to pass, we add up total correct questions and

Inequality equation = 2x +3y >93

Answer:

Step-by-step explanation:

1st of July: J

4th of January: U

1st of December: D

8th of February: Y

Answer: JUDY!

Answer:

Child  this has to be one the most hard riddles I ever did

Step-by-step explanation:

Answer:

Factor 3y23y2 out of 3y33y3.

3y2(y)−9y23y2(y)-9y2

Factor 3y23y2 out of −9y2-9y2.

3y2(y)+3y2(−3)3y2(y)+3y2(-3)

Factor 3y23y2 out of 3y2(y)+3y2(−3)3y2(y)+3y2(-3).

3y2(y−3)

Step-by-step explanation:

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Answer:

364,321

384963+15358=364321

Answer:

Step-by-step explanation:

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Answer:

35.65 feet

Step-by-step explanation:

Melanie connected a brown garden hose , a green garden hose and a black garden hose to make one long hose

The brown hose is 10.75 feet

The green hose is 16.4 feet

The black hose is 8.5 feet

Therefore the farthest distance that the one hose can reach can be calculated as follows

= 10.75 + 16.4 + 8.5

= 35.65 feet

Hence the farthest distance that one hose can reach is 35.65 feet

Answer:

2.1 * 10 ^3

Step-by-step explanation:

5.67  * 10 ^7 ÷2.7 x 10^4

Divide the numbers

5.67 / 2.7 =2.1

Divide the exponents

10^7 / 10 ^4

Remember when dividing power, we subtract the exponents

10 ^(7-4) = 10^3

Put this back together

2.1 * 10 ^3

Verify that this is in scientific notation

Since this is in scientific notation, we are done

Answer:

2.1x10 to the power of three

Step-by-step explanation:

\frac{5.67\times 10^7}{2.7\times 10^4}

2.7×10

4

5.67×10

7

​

Divide them.

\frac{5.67}{2.7}\times \frac{10^7}{10^4}

2.7

5.67

​

×

10

4

10

7

​

Divide numbers and 10's separeately.

2.1\times 10^3

2.1×10

3

Subtract exponents.

Answer:

y = 1/6x -13/6

Step-by-step explanation:

x-6y = 13

Subtract x from each side

x-x-6y =-x+ 13

-6y = -x+13

Divide each side by -6

-6y/-6 = -x/-6 + 13/-6

y = 1/6x -13/6

Answer:

$12.84

Step-by-step explanation:

Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.

Then multiply 0.12 by 107 to get the price + tax.

You'll end up with 12.84.

Then just add your units to get $12.84.

Answer:

y=x-2

Step-by-step explanation:

if you were to plot it onto a graph, the y intercept would be -2

Answer:

x=5

Step-by-step explanation:

Equation:

x^2 + 11=36

1.Subtract 11 on both sides

x^2 = 25

2. Square root 25

x=5

The answer is On a coordinate plane, a line is lever and then curves upwards rapidly (D).

The graph that represents an exponential growth function is (d) on a coordinate plane, a line is level and then curves upwards rapidly.

Exponential functions are functions that are defined as [tex]y = ab^x[/tex]

Where:

Assume that a has positive value, and the b is greater than 1.

Then it means that, the function is an exponential growth function.

An exponential growth function that has a positive initial value will start with a level line, then curve up

Hence, the graph that represents an exponential growth function is (d)

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Answer:

Algebraic identities

Step-by-step explanation:

Here, we want to choose the correct method to factorize the given expression

That will be;

Algebraic identities

This is because, the terms which have an algebraic term in common have already been grouped and thus what we have to apply next is algebraic identities

Answer:

The answer is below

Step-by-step explanation:

We are asked to find the perimeter of triangle CDE. The perimeter of a shape is simply the sum of all its sides, hence:

Perimeter of tiangle CDE = |CD| + |DE| + |CE|

Given that C(4, -1), D(4, -5), E(2, -3).

The distance between two points [tex]X(x_1,y_1)\ and\ Y(x_2,y_2)[/tex] is given as:

[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore the lengths of the triangle are:

[tex]|CD|=\sqrt{(4-4)^2+(-5-(-1))^2} =4\ units\\\\|DE|=\sqrt{(2-4)^2+(-3-(-5))^2} =2.83\ units\\\\|CE|=\sqrt{(2-4)^2+(-3-(-1))^2} =2.83\ units[/tex]

Perimeter of CDE = 4 + 2.83 + 2.83 = 9.66 units

Answer:

Step-by-step explanation:

total meal cost = meal cost + tax cost + tip cost

[tex]\frac{8}{100} *54.65 = cost of sales tax\\\frac{18}{100} * 54.65 = tip cost\\cost of sales tax = .08 * 54.65 = 4.372\\tip cost = .18 * 54.65 = 9.837\\\\total cost = 54.65 + 4.372 + 9.837 = 68.859\\\\since we have 5 members\\\\individual cost = total cost / 5\\=68.859/5\\=13.7718[/tex]

The answer is 10.93

Step by step explanation

Answer:

a) Name the transversal connecting 1 and 5. Line r b) Name the transversal connecting 7 and 14. Line q c) Name the transversal connecting 8 and 11. Line s d) Name the transversal connecting 6 and 15. Line q e) Name the transversal connecting 3 and 9. Line p

Step-by-step explanation:

The angles pairs and the transversal connecting them are:

a. <1 and <5: transversal r.

b. <7 and <14: transversal q

c. <8 and <11: transversal s

<6 and <15: transversal q.

<3 and <9: transversal p.

Note the following about what a transversal is:

Let's determine the transversal connecting the following given angles:

a. <1 and <5: transversal r.

b. <7 and <14: transversal q

c. <8 and <11: transversal s

<6 and <15: transversal q.

<3 and <9: transversal p.

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[tex](9x + 17) + (3x + 7) = 180[/tex]

[tex]12x + 24 = 180[/tex]

Subtract sides 24

[tex]12x + 24 - 24 = 180 - 24[/tex]

[tex]12x = 156[/tex]

Divide sides by 12

[tex] \frac{12}{12} x = \frac{156}{12} \\ [/tex]

[tex]x = 13[/tex]

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Answer:

Years living in the U.S.

How many adults are registered to vote in the upcoming election?

Number of adults over 18

Number of minors in the household

Number of family members residing at the address

Zip code

Step-by-step explanation:

Given the following :

Select the variables which are quantitative :

Quantitative variables may be explained as those variables which are represented numerically or possess numerical attributes. The are usually expressed in numbers. Quantitative variables in the options below are those which will take Numeric inputs.

Years living in the U.S. = quantitative

How many adults are registered to vote in the upcoming election? = quantitative

Number of adults over 18. = quantitative

Number of minors in the household = quantitative

Family role of respondent = not quantitative

Number of family members residing at the address = quantitative

Ethnicity = Not quantitative

Zip code = quantitative

Answer:

A

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-2 needs to be distributed to the rest of the equation so that gives you -2x+6

Answer: 13% increase?

Step-by-step explanation: 19-6=13 which means it would be 1.13 the original amount?

Answer:

1.13

Step-by-step explanation:

A 6% decrease would be 0.94 and a 19% increase after that would be 1.13

Answer:

segment AC is equal to A''B'' over 2

Step-by-step explanation:

Given that,

Scale factor = 2

The coordinates of A is (-3,3)

The coordinates of B is (1,-3)

The coordinates of C is (-3,3)

We know that, the ratio of length of new segment to the length of segment of original figure is called scale factor.

So.

[tex]\dfrac{A''B''}{AC}=2\\\\\text{On cross multiplying,}\\\\AC=\dfrac{A''B''}{2}[/tex]

It means, segment AC is equal to A''B'' over 2 is the correct answer.

Answer:

60 minutes

Step-by-step explanation:

Given the schedule above :

Red line arrives every 4 minutes

Blue line arrives every 5 minutes

Yellow line arrives every 6 minutes

All three just arrives at the train station ; when next will they all arrive at the train station at the same time.

Obtain the lowest common multiple of each arrov time :

Lowest common multiple of 4, 5, 6

_2___4___5___6

_2___2___5___3

_3___1___ 5 __ 3

_5___1___ 5 __ 1

_____1 ___1 ___1

Hence, lowest common multiple :(2 * 2 * 3 * 5) = 60

Hemce, they all arrive at the train station at the same time after 60 minutes

4x+2y+10 = 0 can be rewritten as 2y = -4x-10 and dividing by 2 yields the slope/intercept form of y = mx+b

y = -2x-5

where -2 is the slope (m) and -5 the y-intercept (b)

the line we seek has that same slope, will pass through (7,3), but will have a different y-intercept. Plugging in 7 and 3 for x and y gives us

3 = -2(7)+b => 3 = -14+b => 17 = b making our new line’s equation:

y = -2x+17

An equation of the line that passes through the point (- 8, 0) and is parallel to the line x - 2y = 10 is y = -2x+17.

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:

y = mx +c

To find the slope of a line, we find the rate at which the value of 'y' is increasing as we increase the value of 'x' by one unit.

We know that 4x+2y+10 = 0 can be rewritten as 2y = -4x-10

Thus, dividing by 2 yields the slope/intercept form of y = mx+b

y = -2x-5

where, -2 is the slope (m) and -5 the y-intercept (b)

Now the line we has that same slope, will pass through (7,3), but will have a different y-intercept.

Then Plugging in 7 and 3 for x and y gives us;

3 = -2(7)+b

3 = -14+b

17 = b

Therefore, our new line’s equation:

y = -2x+17

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Answer:

El desplazamiento total del robot es de aproximadamente 17.4 m 12.35° al sur del este

Step-by-step explanation:

El movimiento del robot en Marte se da como sigue;

1) El desplazamiento sur = 25 m

2) El desplazamiento 15 ° al norte del este = 35 m

3) El desplazamiento 37 ° al norte del oeste = 20 m

Por lo tanto, tenemos la moción en forma vectorial;

1) -25[tex]\hat j[/tex]

2) 35·cos(15°)[tex]\hat i[/tex] + 35·sin(15°)[tex]\hat j[/tex]

3) -20·cos(37)[tex]\hat i[/tex] + 20·sin(37°)[tex]\hat j[/tex]

Por lo tanto, tenemos el desplazamiento resultante total, R, del robot está dado por la suma de los vectores como sigue;

R =  (35·cos(15°) - 20·cos(37)) [tex]\hat i[/tex] + (35·sin(15°) + 20·sin(37°) - 25)[tex]\hat j[/tex]

R = 17.8346937192 [tex]\hat i[/tex] - 3.9050329583 [tex]\hat j[/tex]  

La magnitud de R = √ ((17.8346937192) ² + (-3.9050329583) ²) ≈ 17.4 m

La magnitud de R ≈ 17,4 m

La dirección de R = Arctan ((- 3.9050329583) / (17.8346937192)) ≈ -12.35 °

La dirección de R ≈ -12,35 °

La dirección es aproximadamente 12,35 ° al sur del este

El desplazamiento total del robot es de aproximadamente 17.4 m 12.35 ° al sur del este

Answer:

3/4

Step-by-step explanation:

Divide the numerator and the denominator by the greatest common factor of 18 and 24, 6.

[tex] \frac{18}{24} [/tex]

[tex] \frac{18 \div 6}{24 \div 6} [/tex]

[tex] \frac{3}{4} [/tex]