Mathematics High School

David is going to an amusement park. The price of admission into the park is $20,
and once he is inside the park, he will have to pay $5 for every ride he rides on. How
much
money would David have to pay in total if he goes on 10 rides? How much
would he have to pay if he goes on r rides?

Answers

Answer 1

Answer:

$70.00

y=5r+20

Step-by-step explanation:

1. y=5(10)+20

y=70

Answer 2

The cost he will pay for 10 rides will be $70 and for r rides will be [tex]20+5r[/tex].

Given,

The price of admission into the park is $20.

The price for each ride is $5

David takes 10 rides,

So, the cost he will pay if he took 10 rides will be,

[tex]c_1=20+5 \times 10\\c_1=20+50\\c_1=70$[/tex]

If he had r rides,

So, the cost he will pay if he took r rides will be,

[tex]c_2=20+5 \times r\\c_2=20+5r[/tex]

Therefore, the cost he will pay for 10 rides will be $70 and for r rides will be[tex]20+5r[/tex].

For more details about linear equation, refer to the link:

https://brainly.com/question/3997793

Related Questions

How many times is value of the digit 3 in 45.2638 lesser than value of the
digit 3 in 356.987?
1/100000
100000
10000
1/1000

Answers

Answer:

100000 times lesser

Step-by-step explanation:

The value of the digit 3 in 45.2638 is 0.003 and the value of the 3 in 356.987 is 300. 300/0.003 = 100000

The air in poultry-processing plants often contains fungus spores. Inadequate ventilation can affect the health of the workers. The problem is most serious during the summer. To measure the presence of spores, air samples are pumped to an agar plate and "colony-forming units (CFUs)" are counted after an incubation period. Here are data from two locations in a plant that processes 37,000 turkeys per day, taken on four days in the summer. The units are CFUs per cubic meter of air.

Day Day 2 Day 3 Day 4

Kill room 3175 2526 1763 1090

Processing 529 141 362 224

The spore count is clearly higher in the kill room. Give sample means and a 99% confidence interval to estimate how much higher the spore count is in the kill room?

Answers

Answer:

-611.031 < μd < 4260.031

Step-by-step explanation:

This is a matched pair design :

______Day1 Day 2 Day 3 Day 4

x1 Kill room 3175 2526 1763 1090

x2 Processing 529 141 362 224

First we obtain the difference, d ;

d = (x1 - x2)

d = 2646, 2385, 1401, 866

The mean difference, dbar = Σd/ n = 7298 / 4 = 1824.5

The standard deviation of difference,

Sd = √(Σx-dbar)²

Using calculator, Sd = 834.086

The 99% confidence interval :

Mean ± margin of error

dbar ± margin of error

Margin of Error = Tcritical * Sd/√n

Tcritical at 99%, df = n-1 ; df = 4-1 = 3

Tcritical = 5.84

Margin of Error = 5.84 * 834.086/√4 = 2435.53112

Confidence interval = 1824.5 ± 2435.53112

(-611.031 ; 4260.031)

please help me i need someone to help me through this whole thinggggg ill mark u as brainlist

Answers

Answer:

(36,25)

Step-by-step explanation:

We want to find where the two lines intersect

We know the x value is about 1/2 way between 30 and 40 and the y value is close to 25

The closest value is (36,25)

Step-by-step explanation: I GOT YOU

The point at which the prices are the same would be at (36, 25)

I know this to be true because that's when the lines touch each other (intersect) on the graph. After 36 minutes go by the cost is 25 dollars for both lines. Also the sides have names, cost on the left, and time on the bottom. And the lines stand for the store prices over time. In summary, just look at the number on the side and bottom and see where the lines intersect.

88 POINTS PLS HELP!!!

Answers

Answer:

aw no me la seee lo.sientooo no puedooo

find value of the variable

Answers

Answer:

x=10

Step-by-step explanation:

16/24=(x-2)/12

or, 16/2=x-2

or, 8=x-2

or, x-2=8

or, x=10

Answered by GAUTHMATH

A conjecture and the two-column proof used to prove the conjecture are shown.

A right angled triangle P Q R. A ray extends horizontally left to QR. A ray extends down to the right of QR. The interior angle is labeled as 1 and 2.

Drag an expression or phrase to each box to complete the proof.

Answers

Answer:

Just took the quiz hopefully this helps!

Step-by-step explanation:

X^2 - 2x + 6 = 0
Show all work

Answers

Answer:

x= plus or minus 1 plus imaginary root times square root of 5.

Step-by-step explanation:

[tex] {x}^{2} - 2x + 6 = 0[/tex]

Complete the Square.

[tex] {x}^{2} - 2x = - 6[/tex]

[tex] {x}^{2} - 2x + 1 = - 5[/tex]

[tex](x - 1) {}^{2} = - 5[/tex]

[tex]x = + - 1 + i \sqrt{5} [/tex]

Preston's Bakery sold one customer 4 dozen chocolate cookies and 9 dozen oatmeal cookies for $126. The bakery also sold another customer 8 dozen chocolate cookies and 5 dozen oatmeal cookies for $122. How much do the cookies cost?

Answers

Let's refer to the chocolate cookies using the variable c, and the oatmeal cookies using the variable o.

Using the information we have, we can set up two equations for the two different transactions.

4c + 9o = 126

8c + 5o = 122

Now, we need to solve for one of the variables in the first equation. I will solve for o.

4c + 9o = 126

9o = 126 - 4c

o = 14 - 4/9c

Next, we'll take this value for o and plug it into the second equation for the variable o. Then we can solve for c.

8c + 5(14 - 4/9c) = 122

8c + 70 - 2 2/9c = 122

5 7/9c + 70 = 122

5 7/9c = 52

c = 9

Finally, we can use the value of c and plug it back into the first equation to solve for o.

o = 14 - 4/9(9)

o = 14 - 4

o = 10

1 dozen chocolate cookies costs $9

1 dozen oatmeal cookies costs $10

Hope this helps!

the price of a box of cereal incresed by 45% if the original price of the box of cereal was 5$ what is the new price?

Answers

Answer: 7.25

Step-by-step explanation:

Please help urgent all info is in screenshot

Answers

IT IS A DIRECT VARIATION...BECAUSE WHEN X COMPONENT IS INCREASED THEN Y COMPONENT ATE ALSO INCREASING.....

see screenshot below

Answers

Answer:

B only

Step-by-step explanation:

well to solve this question we can consider factor theorem which states that if a Polynomial f(x) is divided by a monomial x-a then x-a is a factor of f(x) if and only if f(a)=0

and to figure "a " we can consider the following equation:

[tex] \displaystyle x - a = 0[/tex]

substitute the given value of a:

[tex] \displaystyle x - 2= 0[/tex]

therefore,

[tex] \displaystyle x = 2[/tex]

option-1:

plugin the value of x to the function A(x):

[tex] \displaystyle A(2) = {2}^{3} + {2}^{2} + 4[/tex]

simplify which yields:

[tex] \displaystyle A(2) = 16[/tex]

since A(2)≠0 x-2 is not a factor of A(x)

option-2:

similarly substitute the value of x to the function B(x) which yields:

[tex] \displaystyle B(2) = {2}^{3} - {2}^{} - 6[/tex]

simplify:

[tex] \displaystyle B(2) =0[/tex]

so, B(2)=0 Hence x-2 is a factor of x³-x-6

option-3:

substitute the value of x to the function C(x)

[tex] \displaystyle C(2) = {2}^{4} + 3.{2}^{} - 10[/tex]

simplify:

[tex] \displaystyle C(2) =12[/tex]

as C(2)≠0 x-2 is not a factor of C(x)

option-4:

likewise plugin the value of x to the function D(x):

[tex] \displaystyle D(2) = {2}^{4} - 2.{2}^{3} - 2[/tex]

simplify and that yields:

[tex] \displaystyle D(2) = - 2[/tex]

therefore,D(2)≠0 hence,x-2 isn't a factor of D(-2)

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

The factor

x-2=0x=2

we have find the value of x .

Now,

we have to select all the polynomial which has x-2 As a factor.

According to the question,

option A:-

[tex]A(x)=x^3+x^2+4\\\\A(2)=(2)^3+(2)^2+4\\\\=8+4+4\\\\16≠0[/tex]

so it is not a factor.

Option B:-

[tex]B(x)=x^3-x-6\\\\=B(2)=(2)^2-2-6\\\\0=0[/tex]

so it is a factor

Option C:-

[tex]C(x)=x^4+3x-10\\\\=C(2)=(2)^4+3(2)-10\\\\=16+6-10\\\\12≠0[/tex]

so it is not a factor

option D:-

[tex]D(x)=x^4-2x^3-2\\\\D(2)=(2)^4-2(2)^3-2\\\\=16-16-2\\\\-2≠0[/tex]

so it is not a factor

therefore:-

The option B is correct.

plzz help will mark brainliest

Answers

Answer:

Step-by-step explanation:

x^2 + 11y + y^2 -3x + 11 = 5x +23 - y

First put it into general form by setting the equation to zero and moving all variables to one side.

x^2 + 11y + y^2 -3x + 11 = 5x +23 - y

+y -5x -11 -11

x^2 + y^2 - 8x + 12y = 12

Then solve by completing the square

x^2 - 8x y^2 + 12y = 12

(x - )^2 + (y + )^2 =

Half of 8 is 4

Then square 4 to get 16

Therefore, we plug the 4 into the first parentheses

x^2 - 8x + 16 + y^2 + 12y =12 +16

(x - 4)^2 + (y + )^2 =

Half of 12 is 6

Squared, that would be 36

plug this into the second parentheses

x^2 - 8x + 16 + y^2 +12y + 36 = 12 + 16 + 36

(x - 4)^2 + (y + 6)^2 =

12 + 16 = 28 + 36 = 64

Therefore, the equation of the circle is: (x - 4)^2 + (y + 6)^2 = 64

Which is option D

Is "y = 0.860x + 3.302" a function? Explain why.

Answers

Answer:

Yes.

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Any line that follows slope-intercept form will be a function.

If we graph this line, we can see that each x-value has its own y-value and it passes the vertical line test.

∴ y = 0.860x + 3.302 is indeed a function.

Factor: (a+3)^2 -a(a+3)

Answers

Answer:

3(a +3)

Step-by-step explanation:

(a+3)^2 -a(a+3)

FOIL

a^2 +3a+3a+9 -a(a+3)

Distribute

a^2 +3a +3a +9 -a^2 -3a

Combine like terms

3a +9

FACTOR out a+3

(a+3)( a+3 -a)

(a+3) (3)

3(a+3)

Answer:

3(a+3)

Step-by-step explanation:

Expand the first set of brackets first

(a+3)^2

A^2 + 3a + 3a +9

=A^2 + 6a + 9

Expand the second set of brackets

-a(a+3)

=-a^2 - 3a

Add both sets together

3a + 9

Factorise:

3(a+3)

Compute the value of 9x^2 + 4y^2 if xy = 6 and 3x + 2y = 12.

Answers

Answer:

Consider the equation 3x + 2y = 12

Now, square both sides:

(3x + 2y)^2 = 122

=> 9x^2 + 12xy + 4y^2 = 144

=>9x^2 + 4y^2 = 144 – 12xy

From the questions, xy = 6

So,

9x^2 + 4y^2 = 144 – 72

Thus, the value of 9x^2 + 4y^2 = 72

Answered by GAUTHMATH

Frank practiced piano for 2 ⅓ hours yesterday. He practiced 1 ⅛ hours today. How long did he practice on both days combined? Convert your answer to hours and minutes.

Answers

Answer: [tex]3 hr and 27 min[/tex]

Step-by-step explanation:

Given

Frank practiced piano for [tex]2\frac{1}{3}\ \text{hours}[/tex] yesterday and [tex]1\frac{1}{8}\ \text{hours}[/tex]

In total frank practiced

[tex]\Rightarrow 2\dfrac{1}{3}+1\dfrac{1}{8}\\\\\Rightarrow \dfrac{7}{3}+\dfrac{9}{8}\\\\\Rightarrow \dfrac{7\times 8}{3\times 8}+\dfrac{9\times 3}{8\times 3}\\\\\Rightarrow \dfrac{56+27}{24}=\dfrac{83}{24}\ \text{hours}\\\Rightarrow \dfrac{83}{24}\ \text{hours}\ or\ 3\ \text{hours and 27 min 30s}[/tex]

Plesssse help me with this

Answers

i think it’s the fourth one

please help!! asap need 5 and 6

Answers

Answer:

both substitutions

Step-by-step explanation:

in 5. based on 3 BC is substituted by its equal counterpart AB.

and in 6. we use 1. to substitute AC by its associated absolute value.

99999+999=????????????????????????????

Answers

Answer:

100998 is the answer.

I hope this help u.

Answer:

100998

Step-by-step explanation:

₁ ₁ ₁ ₁ ₁

99999

+ 999

100998

you can also think of it as

99999(+1) + 999(-1)

100000+998

100998

In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C

Answers

Given:

In triangle [tex]ABC, AC=13, BC=84, AB=85[/tex].

To find:

The measure of angle C.

Solution:

Law of Cosines:

[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

[tex]\cos C=\dfrac{BC^2+AC^2-AB^2}{2(BC)(AC)}[/tex]

Substituting the given values, we get

[tex]\cos C=\dfrac{(84)^2+(13)^2-(85)^2}{2(84)(13)}[/tex]

[tex]\cos C=\dfrac{7056+169-7225}{2184}[/tex]

[tex]\cos C=\dfrac{0}{2184}[/tex]

[tex]\cos C=0[/tex]

Taking cos inverse on both sides, we get

[tex]C=\cos^{-1}(0)[/tex]

[tex]C=90^\circ[/tex]

Therefore, the measure of angle C is 90 degrees.

Answer:

eason

Step-by-step explanation:

boy

why did u read this