What is the constant of proportionality between y and x in the graph?

First, let's define variables:

A = adults

C = children

Okay, now that's done, time to set up the two equations required to solve:

10a + 7c = 6549

a + c = 783

One way you can solve this is to set up the second equation to isolate a variable. For example,

a = -c + 783

Using this, we can plug it into the first equation and solve for c.

10(-c+783) + 7c = 6549

-3c = -1281

c = 427

Now, use the value of 427and plug it in either equation to solve for a.

a + 427 = 783

a = 356

356 adult tickets were sold, and 427 children tickets were sold.

Answer:

you are super nice to let me do this

Step-by-step explanation:

thank you, tgbrrhrbrtbrtrtbrlhixtrdfybvnbjhjgtfugfg...

- Audrina

Answer:

Let's suppose that the hole is at y = 0m, where x is the time variable.

we know that:

The vertex is (-1s, 8m).

(i suppose x in seconds and y in meters)

At x = 1s, the ball reaches the hole, so we also have the point:

(1s, 0m).

Remember that the vertex of a quadratic equation y = a*x^2 + b*x + c is at:

x = -b/2a,

then we have:

-1 = -b/2a.

Then we have tree equations:

8m = a*(-1s)^2 + b*-1s + c

0m = a*(1s)^2 + b*1s + c

-1s = -b/2a.

First we should isolate one variable in the third equation, and then replace it in one of the other two:

1s*2a = b.

So we can replace b in the first two equations bi 1s*2a.

8m = a*1s^2 - 1s*2a*1s + c

0m = a*1s^2 + 1s*2a*1s + c

We can simplify both equations and get:

8m = a*( 1s^2 - 2s^2) + c = -a*1s^2 + c.

0m = a*(1s^2 + 2s^2) + c = a*3s^2 + c.

Easily we can isolate c in the second equation and then replace it into the first equation:

c = -a*3s^2

The first equation becomes:

8m = -a*1s^2 - a*3s^2 = -a*4s^2

a = 8m/-4s^2 = -2m/s^2.

Now with a, we can find the values of c and b.

c = -a*3s^2 = -(-2m/s^2)*3s^2 = 6m.

b = 1s*2a = 1s*(-2m/s^2) = -2m/s.

Then the equation is:

y = (-2m/s^2)*t^2 + (-2m/s)*t + 6m

Answer:

f(5) = -1

Step-by-step explanation:

f(5) is x = 5.

When x = 5, y = -1.

Therefore, f(5) = -1

Answer:

2x+2<-18

Step-by-step explanation:

First subtract 2 from both sides to get 2x<-20

Then divide both sides by 2 to get x<-10

Don't be worried friend :)

-(y + 2) + 8 = 3

=> -(y + 2) = -5

=> y + 2 = 5

=> y = 3

Answer:

The answer should be 3/22.

Step-by-step explanation:

To multiply the fractions, multiply the numerators and denominators separately.

3 times 1 over 4 times 8,

Multiply straight across,

Answer should be 3/22

The 3/4 times 1/8 equals 3/32.

To calculate the product of fractions, you multiply the numerators together to get the numerator of the result, and multiply the denominators together to get the denominator of the result.

For 3/4 times 1/8:

Numerator: 3 × 1 = 3

Denominator: 4 × 8 = 32

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Step-by-step explanation:

[tex] \frac{ {4}^{7} }{ {4}^{6} } [/tex]

= 4

.......

Answer:

13a_29

Step-by-step explanation:

group like terms

Answer:

Step-by-step explanation:

50-14=36

36-24=12

12-1=11

11-0.9=10.1

The total amount of money spent will be $10.1.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that you receive $50 for your birthday. You buy a book for $14.95 and a baseball cap for $24.95.

50-14=36

36-24=12

12-1=11

11-0.9 = $10.1

Therefore, the total amount of money spent will be $10.1.

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Answer:

D

Step-by-step explanation:

Volume= 1/2 (b*h*l)

((5*3*10)/2 = 75 Units^3

Answer:

Temperature in noon = 1°C

Step-by-step explanation:

Given:

Temperature on 7:00 Am = -7°C

Temperature rose = 8°C

Find:

Temperature in noon

Computation:

Temperature in noon = Temperature on 7:00 Am + Temperature rose

Temperature in noon = -7°C + 8°C

Temperature in noon = 1°C

Answer:

Sam's thinking was incorrect.

On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.

But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.

Step-by-step explanation:

Answer:

No, Sam was thinking was incorrect

Step-by-step explanation:

Sam's thinkin was incorrect when every time you add and negative to a negative it always become a positive number.

10 - (-6)

10 + 6 = 16

Answer:

Slope = -2.5

Step-by-step explanation:

use the formula:

y2-y1/x2-x1

Answer: 432 ft^2

Step-by-step explanation:

See attached picture

Answer:

X<-2

Step-by-step explanation:

Answer:

x<-2

Step-by-step explanation:

1. Write equation

4-2x>8

2. Combine like terms

-2x>4

3. Divide(and switch ineqaulity sign because the coefficent is negative)

-2x<4

x<-2

Answer:

1. correct (3+2) x 5 is 5 squared

2. 125     5 cubed is 125

3. 50       10 squared and divided by 2 is 50

Step-by-step explanation:

1. is correct

2. 5x5x5

   =25x5

    =125

3. 10x10=100

    100/2

     =50

Hope this helps :)

Answer:

(3+2)*5 ---------> 5 squared

5 cubed --------> 125

10 squared divided by 2 ---------> 50

Step-by-step explanation:

First of all, you don't need to beg. It's all right. You got this!

This question is asking us to simplify what is on the left and match it to the right.

(3+2)*5

5*5= 25

5 squared is 5*5 which is equal to 25

5 cubed is 5*5*5 which is equal to 125

10 squared divided by 2

10*10= 100

100/2= 50

Hope this helps!

Answer:

9.24

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the given information:

Social security taxes can be calculated as:

$128,400 - $128,120

= $280

Also, we know that the current monthly salary = $13, 400

So, social security tax is withheld by $280

This implies that:

Social security taxes = 280 × 0.062

= $17.36

The medical care taxes will now be:

= $13,400 × 1.45%

= $194.30

Using the percentage method to calculate the federal income tax; we have:

Use the tax bracket from 2017, marginal tax rate = 28%

∴

federal income tax = $13400 × 0.028

federal income tax = $3752

Answer:

You sure this true

Step-by-step explanation:

How you know

Answer:

OOOOOOOO THANK YOU!!!!!!

6, this is because FG + GH = FH, so 8+ GH=14, and 14-8=6

Answer:

B: billie's solution is incorrect since she didnt  

subtract 36 from both sides

Step-by-step explanation:

on the second step, she added 36 on the right.

This is incorrect because when changing one

side on an equation you must change the side

in the same way.

Answer:

B. Billie's solution is right

Answer:

9.= D

10.= 3.5

Step-by-step explanation:

The difference between a theorem and a conjecture :-

Theorem :- Something which is true and can be proved .

I am giving a very simple example here .

Angle sum theorem :- sum of all angles in a triangle will be equal to 180° .

This is a theorem because every interior angle of a triangle will add up to 180° . It cannot change .

So , something that is definitely true and can be proved is a theorem .

Conjecture :- Something that is supposed to be true , but still hasn't been proved to be true .

Example :-

1a = 10

2a = 20

3a = 30

With this you can guess that 4a must be equal to 40 , but it can't be proved without using algebra .

Therefore , something which is likely to be true is a conjecture ( in maths ) .

Answer:

20 riders can ride per minute.

Step-by-step explanation:

The picture says to divide to find the number of riders. If we apply this here, we can see that 1200 ÷ 60 is 20.

The reasoning behind this is:

There are 60 minutes in an hour.

If the park ride lasts a minute, then the ride can have 60 rides per hour.

The question states that the ride can have up to 1200 riders per hour, so you need to divide 1200 by 60.

1200 ÷ 60 = 20.

ingredients summed = final product

.10 * x ml + .15 (50ml - x) = .12 (50 ml) solve for x the amount of 10 %

.1x + 7.5 - .15x = 6 - .05x = -1.5

x = 30 ml of 10%

50-30 = 20 ml of 15%

Answer:

0 ≤ x ≤ 8

Step-by-step explanation:

Given

4 ≤ x + 4 ≤ 12 ( subtract 4 from each of the 3 intervals

0 ≤ x ≤ 8

Answer:

x=3

Step-by-step explanation:

Use pemdas!

First use distributive property to get rid of the parenthesis, by multiplying 2 by 3x and -4. Then combine like terms and use inverse operations to simplify each side until you get it down to just x! Hope this helped! :)