3. For the following system of equations, complete a table of at least 5 points for each equation, then graph the system on the coordinate plane. Describe the solution.

y = -3x + 4

6x + 2y - 8 = 0

​

Answer:

The system of equations is:

x + y = 250                         (1)

7.25x + 5.50y = 1602.50   (2)

with x = Adult tickets

       y= student tickets

Solution

Let's equation (1)

x+y=250

x=250-y (a)

subtitute x in aquation (2)

7.25(250 - y) + 5.50y=1602.50

1812.50 - 7.25y + 5.50y= 1602.50

1812.50 -1.75y = 1602.50

-1.75y = 1602.50 - 1812.50

-1.75y = -210 ↔multiply both sides by (-1) to remove the minus sign

y= 210/1.75

y= 120

Substitute y in equation (1)

x + 120 = 250

x= 250 - 120

x =130

Let's check our results in equation (1)

x + y =250

120 + 130= 250 ↔ 250 = 250

At the end of the evening they 120 students tickets and 130 adults tickets

Step-by-step explanation:

You can check the results in any of the equations

Answer: The letter C

Option C is correct, 63 is the composite number.

A number system is defined as a system of writing to express numbers.

Composite numbers are numbers that have more than two factors.

0 is not a composite number.

19 is a prime number because it is divided by itself so it is not a composite number.

63 is a composite number because it has more than two factors.

The factors of 63 are 1, 7 , 9

1 is not a prime number as it does not have factors.

Hence, Option C is correct, 63 is the composite number.

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Answer:

If you mean with out splitting up the apple then we could just give one apple to each child so it would look like this

6 children 6 apples

10 children 10 apples

15 children 15 apples

Answer:

All I know is she had 10.05 left

This is a function because each element in the domain has one and only distinct image in the co-domain.

graph 1 - clue 3

graph 2- clue 2

graph 3- clue 4

graph 4 - clue 1

Answer:

Graph 1 - Clue 3 / Kareem

the points fits neatly in between the rest of the plot

Graph 2 - Clue 2 / Paloma

same reasoning as above, located in the middleof the other points. but note that y and x are in switched order

Graph 3 - Clue 4 / Jonah

(25,10) fits just nice right in the middle of the other points. note that written as an ordered pair, or point, x has to be on the left side inside the parentheses

Graph 4 - Clue 1 / Genevieve

just fitting into the pattern on the lower right end of the plot

Answer:

87 times as the dice has 3even numbers and 3 odd numbers so chance is 50% so half of 174 is 87.....times

Step-by-step explanation: hope this helps

Answer:

87 times

50% of the time

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

Step-by-step explanation:

6 numbers

1, 3, 5 are odd

3/6 in one roll

3/6 × 174 = 87

Answer:

160 raisins

Step-by-step explanation:

First, the ratio of peanuts to raisins will be 5:4.

Next, to fine the number to multiply the 4 by, you will divide 200 by 5.

You divide the 200 by 5 because that is how many peanuts there are in the bag and the ratio is 5:4 as stated above.

So 200 divided by 5 is 40. You will take that 40 and then multiply it by 4 to get 160.

So the end result is there are 160 raisins in the bag, and the final ratio would be 200:160

Answer:

9 games.

Step-by-step explanation:

You need to find 75% of 12. 75% is equal to three fourths. 12 divided by 4 is 3, so one fourth of 12 is 3. 3 times 3 is 9, so three fourths (75%) of 12 is 9.

Answer:

The correct option is D) $1,248.00

Step-by-step explanation:

First calculate $24 at 36 hours

24 * 36 = $864

then

calculate $48 at 8 hours because of double time

48 * 8 = $384

then

add them both up

864 + 384 = $1248

Answer:

38cm

Step-by-step explanation:

38 is the answer . hope it helps.

Answer:

c. 38 cm

Step-by-step explanation:

Step-by-step explanation:

QR = 1.5

TS = 2

TP = 3.8

RS = 1.4

PQ = 2.6

Answer:

every other student who enters the school

Step-by-step explanation:

It is given that the middle school students have an average height of 5.25 feet. The students belongs to Seton Grove School.

It means that every student who comes to this school or enters the school has a height that is around 5 feet or more.

Thus we can say that every other student who enters the school has a average height of 5.25 feet.

This sample makes the generalization about the heights of the school students valid.

Answer:

c

Step-by-step explanation:

correct on edmentum / plato

Answer:

The answer is 49 degrees

Step-by-step explanation:

The total we are getting to is 180, we have 131. Subtract to find the missing number that makes it 180 which is 49 because 180 minus 131 is 49.

Answer:

x = 49 °

Step-by-step explanation:

These both angles are located at the straight line. So, the sum of both angles are 180 ° .

x + 131 ° = 180 °

subtract 131 ° from 180 °

x = 180° - 131 °

x = 49 °

Answer:

7/10

Step-by-step explanation:

Out of the ten spins seven landed on blue.

I hope this helps :)

Answer:

The fraction that would represent the part of Pedro's spins that were blue would be [tex]\frac{7}{10}[/tex].

Step-by-step explanation:

In a fraction, there is a numerator and a denominator. In order to get a fraction that would represent the part of Pedro's spins that were blue, you need to put the number of times the pointer landed on blue as a numerator and the total number of spins as the denominator. Therefore a fraction that would represent the part of Pedro's spins that were blue would be [tex]\frac{7}{10}[/tex].

Answer:

17 1/3 52/3

Step-by-step explanation:

3x+y=38

3x+2y=52

-y=14

y=-14

3x+-14=38

3x-14=38

3x=38+14

3x=52

3x/3=52/3

x=171\3

17 is a whole number then 1 divided by 3 . thus is x

Answer:

Triangle RSP is similar to triangle ZXY

Step-by-step explanation:

to be similar triangles the order of the angles must match.

Angle R is 41° so is angle Z

angle S is 54° so is angle X

angle P is 85° so is angle Y

Answer:

The correct algebraic expression is [tex]8+2c[/tex] or also, [tex]2c+8[/tex] because they are the same thing.

Step-by-step explanation:

Hope this helps and,

pls let me know if it was correct.

Answer:

answer is 4 because EJ is 4, and GJ is congruent to EJ meaning they are the same size.

Answer:

white- 47%   Blue-23% Red- 30%

Step-by-step explanation:

White cars- (47/100)*100= 47%

Blue cars- (23/100)*100=23%

Red cars- (30/100)*100=30%

Answer:

To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.

sin x = O/H

cos x = A/H

tan x  = O/A

where O stands for opposite, A for adjacent, and H for hypotenuse. So, for example, the sine of x is equal to the side opposite of angle x over the hypotenuse. The same goes for cosine and tangent. Using the diagram attached, we have the expressions of the trigonometric functions as shown below.

sin x = f/d

cos x = e/d

tan x = f/e

Step-by-step explanation:

The trigonometric ratio's as per given side length of a triangle are as follow,

cosx = f/e , sinx = d/e , and tanx = d/f.

Let us consider triangle name as ABC,

Measure of angle ABC = x degree

Measure of angle BAC = 90 degree

Side length AB = f

Side length AC = d

Side length BC = e

For angle x ,

AC is the opposite side , AB is the adjacent side, and BC is the hypotenuse.

cosx = adjacent side / hypotenuse

       = f / e

sinx = opposite side / hypotenuse

       = d / e

tanx  = opposite side / adjacent side

       = d / f

Therefore, the value of the trigonometric ratio for the given side length of a triangle are cosx = f/e , sinx = d/e , and tanx = d/f.

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Answer:

The India Gate (formerly known as the All India War Memorial) is a war memoria)

Step-by-step explanation:

it's a place

Answer:

5,700

Step-by-step explanation:

Let

x = total cost of the fan

The entrepreneur incurred 20% on the cost price

Selling price = 4560

Therefore, The selling price = 80% of the total cost of the fan

4560 = 80% of x

4560 = 80/100 * x

4560 = 0.8 * x

4560 = 0.8x

x = 4560/0.8

x = 5,700

x = total cost of the fan = 5,700

It's C.

The value is increasing threefold relative to the previous step.

all other function values increase by a fixed amount and are therefore linear

Answer:

True

Step-by-step explanation:

Angle-Angle-Side congruency

Answer:

A. True

Step-by-step explanation:

You need to convert 5 oz into grams.

1 oz = 28.3495 g

5 oz * 28.3495 g/oz = 141.75 g

Answer: 141.75 g

Answer:

10x + 35

Step-by-step explanation:

Given

5(2x + 7) ← multiply each term in the parenthesis by 5

= 5(2x) + 5(7)

= 10x + 35

Answer:

10x+35

Step-by-step explanation:

5×2x=10x

5×7=35

=10x+35

Answer:

[tex]\text{A. }\frac{5}{6}\pi x^2[/tex]

Step-by-step explanation:

The area of a sector with measure [tex]\theta[/tex] is equal to [tex]r^2\pi\cdot \frac{\theta}{360}[/tex]

Since there are 360 degrees in an angle, the measure of sector K must be 360-60=300 degrees.

What we know:

Thus, the area of the sector is [tex]x^2\pi\cdot \frac{300}{360}=\boxed{\text{A. }\frac{5}{6}\pi x^2}[/tex]