please help! at a recent cross country meet, spectators had to pay to get in. it cost $7 for adults and $3 for students. the booster club selling tickets let's forgot to keep track of how many adults and student tickets they sold. however, they did know they sold 155 total tickets and made $645. write a system of equations to model this situation

Answer:

A.9

Step-by-step explanation:

9 x 3 = 27, 27 divided by 3 is.. 9

Answer:

The answer is £20

Step-by-step explanation:

Since the game is half-priced, we just have to divide the original price by 2.

£40/2 = £20

Answer:

y=13

Step-by-step explanation:

Simplifying y + 10 = 2y + -3 Reorder the terms: 10 + y = 2y + -3 Reorder the terms: 10 + y = -3 + 2y Solving 10 + y = -3 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 10 + y + -2y = -3 + 2y + -2y Combine like terms: y + -2y = -1y 10 + -1y = -3 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + -1y = -3 + 0 10 + -1y = -3 Add '-10' to each side of the equation. 10 + -10 + -1y = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = -3 + -10 -1y = -3 + -10 Combine like terms: -3 + -10 = -13 -1y = -13 Divide each side by '-1'. y = 13 Simplifying y = 13

Answer:

56.29

Step-by-step explanation:

56.29^° is the answer

The bearing of town C from town A at the given position of the three towns is determined as 93.3⁰.

The distance of town C from town A is calculated by applying Cosine rule. The distance of town C from town A is represented by small letter "b" as shown in the image.

b² = a² + c² - 2ac[cos B]

b² = (8)² + (7)² - 2(8 x 7 x cos77)

b² = 87.81

b = √87.81

b = 9.37 km

The value of angle A is determined by applying Sine rule as shown below;

sin A/a = sin B/b

sin A = (a x sin B)/b

sin A = (8 x sin 77)/9.37

sin A = 0.832

A = sin ⁻¹ (0.832)

A = 56.3⁰

The bearing of town C from town A is determined from the sum of 37⁰ and angle A.

θ = A + 37⁰

θ = 56.3⁰ + 37⁰

θ = 93.3⁰

Thus, the bearing of town C from town A at the given position of the three towns is determined as 93.3⁰.

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Answer: Thx for the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Yes, you are correct

Step-by-step explanation:

Answer: Yes it is.

Step-by-step explanation:

Answer:

(3, -6) and (7, -6)

Step-by-step explanation:

Plugging it in the slope formula we get -6+6 = 0, meaning the division will be 0. This the slope is 0

Answer:

£6368

Step-by-step explanation:

You can start by making a formula, which will be:

100/100=1

1.5/100=0.015

1+0.015=1.015 (your multiplyer)

6000*1.015^n= your money after 4 years

(n represents the number of years)

Now you just put in the number of years:

6000*1.015^4=6368.181304

Now round:

Answed= £6368

Step-by-step explanation:

Aswer:

22.5 more calories are burned

Hiking:

y=255

Kayak:

y=202.5

Answer:

[tex] V_{cone} \approx 1,178.97 \: {in}^{3} [/tex]

Step-by-step explanation:

Diameter of cone = 16 in

Radius of cone r = 16/2 = 8 in

Height of cone h = 17.6 in

[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ V_{cone} = \frac{1}{3} \times 3.14 \times {(8)}^{2} \times 17.6 \\ \\ V_{cone} = \frac{1}{3} \times 3,536.896 \\ \\ V_{cone} = 1,178.96533 \\ \\ V_{cone} \approx 1,178.97 \: {in}^{3} \\[/tex]

Answer:

Download the app photomath and right your solution

First, you need to know what "m" and "b" represents.

"m" represents slope, and "b" represents the y intercept.

For the equation you can combine the information to get y = mx + b

To find "m" indentify points, and see how many you have to go up/down then left/right.

To find "b" since the graphis given see where the line crosses the y axis. (0, b)

1. m = -1, b = 3

y = -1x + 3

2. m = 1, b = -3

y = 1x -3

3. m = 3/1 or 3, b = 1

y = 3x + 1

4. m = -3/1 or -3, b = -3

y = -3x -3

Step-by-step explanation:

step 1. the x intercept is when y=0.

step 2. 2x -5(0) = 20 or x = 10.

step 3. the x intercept is (10, 0)

step 4. the y intercept is when x=0.

step 5. 2(0) - 5y = 20 or y = -4

step 6. the y intercept is (0, -4).

Answer:

option B

Step-by-step explanation:

since DA and CB are equal and originate from same line segmnet, they are parallel, so angle D and angle C are equal, angle A and anfle B are equal and angle E is the same for both,

Answer:

y = 25.8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos y = adjacent/ hypotenuse

cos y = 18/20

Take the inverse cos of each side

cos ^-1 (cos y) = cos^-1(18/20)

y =25.84193276

Rounding to the nearest tenth

y = 25.8

The height of the building is approximately 105 ft.

According to the question,

We have the following information:

The angle made from their location to the building = 59°

The distance of the building from their location = 63 ft

Now, we can find the height of the building by using trigonometric function of tan.

We know that tan is equal to perpendicular/base.

In this case, perpendicular is the height of the building and base is the distance of the location from the building.

We have:

Tan 59° = Height of the building/distance of the building from the location

We know that the value of tan 59° is 1.6643.

Let's take the height of the building to be H ft.

1.6643 = H/63

H = 1.6643*63 ft

H = 104.85 ft

Now, this number can be rounded off to 105 ft.

Hence, the correct option is a.

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Answer:

hello! although i am not really knowlegeble about this subject,  i hope the lengths below can help you solve the problem :)

Step-by-step explanation:

side length: 62.03inches

perimeter: 168.06

area:1276

if this does help you, a brainliest would be appreciated!

Answer:

190 yd^2

Step-by-step explanation:

This is a parallelogram, and you can essentially take the dotted line, cut off the excess and stick it on the back creating a rectangle with length 15.2 yd and height 12.5. To find the area you multiply the 2 together getting 190 yards squared.

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

Explanation:

When two lines have different slopes like this, it means the two lines are not parallel. Recall parallel lines are when the slopes are equal (the rise and run are the same, so you can think of it like the same stair-step pattern).

Non-parallel lines intersect at exactly one location. This point of intersection is the solution to the system of equations.

----------------------------

A more in-depth look (optional section)

Let's consider the system of equations shown below

[tex]\begin{cases}y = mx+b\\y = mx+c\end{cases}[/tex]

For each equation shown here, the m values are the same slope. However, b and c are different values (in other words, [tex]b \ne c[/tex]). This system describes any two parallel lines that aren't vertical.

Since we're dealing with the same y value, we can apply substitution to try to solve for x. But we run into a problem

y = mx+b

mx+c = mx+b ... replace y with mx+c

c = b .... subtract mx from both sides

But we stated that c and b were different, and not equal. This is a contradiction. So if we had a system of this form, then we have 2 parallel lines that lead to no solution. We call this an inconsistent system.

Next, we'll consider this system of equations

[tex]\begin{cases}y = mx+b\\y = nx+c\end{cases}[/tex]

The only thing different here is the second equation has n instead of m as its slope. We'll assume that m and n are not equal to each other. If m = n, then we just end up with the previous scenario. Let's try to solve x now

y = mx+b

nx+c = mx+b

nx-mx = b-c

(n-m)x = b-c

x = (b-c)/(n-m)

Assuming [tex]m \ne n[/tex], we can generate one solution for x as shown above. This single solution for x generates a corresponding single solution for y. So overall, this proves that we have one ordered pair (x,y) solution to this system.

In short, I've shown that if m and n are different slopes, then the system of equations has exactly one solution.

Answer:

29

Step-by-step explanation:

Delta math

The measure of the angle G will be equal to 27.50°.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry. The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that in ΔFGH, f = 880 inches, g = 450 inches, and h=890 inches.

The value of the angle G will be calculated as,

g² = h² + f² -2hfcosG

450² = (890)² + (880)² - 2(890)(880)cosG

202500 = 792100 + 774400 + 1566400cosG

cosG = ( 1364000) / ( 12 x 890 x 880 )

cosG = 0.87

G = cos⁻¹(0.87)

G = 27.50°

Therefore, the measure of the angle G will be equal to 27.50°.

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Answer:

E, F, B, and C

Step-by-step explanation:

Im just learning about these kind of things and this is a challenging question not going to lie.

I chose B because expanding and building more factories is apart of economics. You need more land to expand your business, but this will also affect the economy.

C seems like a good answer also because writing about economic trends is an important thing in economics. This also helps others learn out the economy and what not to do and what to do to help make our environment a better place.

I chose E because starting a business is apart of economics. A lot of business are apart of economic systems and help money come into our economy.

F is a good answer for me because the U.S government has been apart of America's economic system for a long time just like they are involved with everything else. The government is a big help and a big part of our economy, especially for america.

Answer:

F

Step-by-step explanation:

see attached image above

Answer:

Step-by-step explanation:

the area will be

A=(4x+3)(3x-2)

A=12x^2-8x+9x-6

A=12x^2+x-6

Answer: 112, 68, 22, 90

Step-by-step explanation:

This is fairly somewhat easy

since the adjacent side of 1 is 68 degrees

then 1 would be 112 degrees to make it supplementary to 180 degrees

angle 3 is vertical of angle 68

making it 68 degrees

angle 5 is given to be 90 degrees meaning angle 4 is inbetween

angles 3 and 5 so ( 68 and 90 ) that'll add up to 158 meaning angle 4

is 22

angle 1 = 112

angle 3 = 68

angle 4 = 22

angle 5 = 90

Step-by-step explanation:

12/16 divided by 2

hope it helps u

Answer:

add 21 to both sides

Step-by-step explanation:

9z-21=60

9z-21+21 =60+21

9z=81

9z/9=81/9

z = 9

Answer:

Quadrant 2

Step-by-step explanation:

-8 - 9 = -17

5 - (-1) = 6

(-17, 6) = second quadrant

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Arithmetic Operation.

====> 5(3+6) + 5*3/ 5(4-1)

=====> 5(9) + 15 / 5(3)

=====> 45+15 / 15

=====> 60/15

======> 4

answer is 4

Answer:

-200 isn't higher than 450 but 450 is:

450 is 250 higher than -200

Step-by-step explanation:

Answer: 70% as a decimal is 0.7.

Step-by-step explanation: "Per" means 100. To find the decimal, divide 70 by 100.

70 / 100 = 0.7

Hence, that is our answer.

70% as a fraction is 70/100.

Again, Per means 100. To get that answer, look at the decimal. The number 7 is 7 tenths. Since it means tenths, instead of 100, put 10.

Hence, 70/100 and 0.7 is the answer.