The amusement park installed a new 260-foot-tall ride. This ride is 78 feet taller than the next tallest ride in the park.
Write an equation using the subtraction property of equality that results in the height of the second tallest ride in the park. Explain your equation.

The carrot cakes are the fraction of the cake given by [tex]1 - \frac{6}{7}[/tex] multiplied by [tex]\frac{1}{3}[/tex]

The fraction of the cake that are chocolate cake = [tex]\dfrac{2}{3}[/tex]

The fraction of the remaining cake that cheesecakes = [tex]\dfrac{6}{7}[/tex]

The rest of the cakes = carrot cakes

Required:

The fraction of the cake that  are carrot cakes

Solution:

The fraction of the cakes that are not chocolate cake = [tex]1 - \dfrac{2}{3} = \mathbf{ \dfrac{1}{3}}[/tex]

The fraction of the remaining cakes that are cheesecake = [tex]\dfrac{6}{7} \times \dfrac{1}{3} = \mathbf{ \dfrac{6}{21}}[/tex]

The fraction of the cake that are carrot cake = [tex]\dfrac{1}{3} - \dfrac{6}{7} \times \dfrac{1}{3} = \mathbf{\dfrac{1}{21}}[/tex]

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Answer:

True

Step-by-step explanation:

Just a tip, there are 16 ounces in a pound, and just searching 180 ounces into pounds can help with this stuff to if you don't want to do math yourself

Answer: False

Step-by-step explanation: Pound weighs more in ounce.

Answer:

D

Step-by-step explanation:

y = 2x + 10 is the same thing as y = 2(x + 5) because 2 x x = 2x and 2 x 5 = 10

Simplify Option D

As everything is same

i.e

Hence infinitely many solutions are present

Answer:

32

4 cups

Step-by-step explanation:

Answer:

ratio

Step-by-step explanation:

0 to 100

i dont know the second one srry

Answer:

200

Step-by-step explanation:

This problem is about linear equations. We assume Joe drive X miles, and the total cost is $Y, then we can get:

Plan I: Y=51.98+0.17X

Plan II: Y=59.98+0.13X

When both plans cost the same, 51.98+0.17X=59.98+0.13X. We will get X = 200

Answer:

complete sentence

Step-by-step explanation:

it has a subject and a verb

Answer:

I would say sentence.

Step-by-step explanation:

It has punctuation, a subject, and a verb, so I would say it's a sentence.

Answer:

Step-by-step explanation:

1. 4/1

2. 5/1

3. 1/8

4. 2/3

5. 3/4

6. 4/12 = 1/3, 8/12 = 2/3

7. 2/5, 3/5

Answer:

B) 6.3 feet

Step-by-step explanation:

sin Θ = opp/hyp

sin 75° = h/6.5

h = 6.5 sin 75°

h = 6.3

Answer: B) 6.3 feet

There are different ways to estimate a variable. The sample mean is a point estimate of the population mean for the variable of interest.

A point estimate is known to be the value of a sample statistic that is often applied as one estimate of a specific population parameter.

The sample mean is defined simply as a form of average value seen in a sample. A sample is known to be the little portion of a whole.

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Answer:

Greatest- 2 × 4/9

Then- 1  2/3 × 4/9

Then- 7/7 × 4/9

Lest- 3/4 × 4/9

Step-by-step explanation:

The right hand fraction you are timing by is the same whilst on the left they grow so you order them and dont focus on the times aspect of the question

Answer:

KL = 51

Step-by-step explanation:

1: Make an equation

[tex]10x -2 = 5x-8 + 7x -12[/tex]

the 10x is the JL line which is the whole line segment

2: start solving by getting all x to be on one side

[tex]10x-5x-7x = -8 -12 +2[/tex]

3: simplify

[tex]-2x = -18[/tex]

4: solve for x

[tex]x=9[/tex]

5: plug x back into KL

[tex]7(9)-12 = 51[/tex]

Answer:

m∠x = 119°

m∠y = 61°

m∠z = 119°

Step-by-step explanation:

Angle x:

Angle y:

Angle z:

-Chetan K

the answer is fourteen (14)

[tex]\bold{\huge{\blue{\underline{Solution}}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

[tex]\bold{\underline{ To \: Find :- }}[/tex]

[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]

Let the cost of hamburgers and drinks be x and y

According to the question,

[tex]\sf{ 2x + 4y = 13.00 ...eq( 1 ) }[/tex]

[tex]\sf{ 3x + 7y = 21.00 ...eq(2) }[/tex]

Solving eq( 1 ) we get :-

[tex]\sf{ 2x + 4y = 13 }[/tex]

[tex]\sf{ 2x = 13 - 4y }[/tex]

[tex]\sf{ x = (13 - 4y)/2 ...eq(3)}[/tex]

Subsituting eq(3) in eq( 2 ) :-

[tex]\sf{ 3( 13 - 4y)/2 + 7y = 21 }[/tex]

[tex]\sf{ 39 - 12y/2 + 7y = 21 }[/tex]

[tex]\sf{ 39 - 12y + 14y = 42}[/tex]

[tex]\sf{ 2y = 42 - 39 }[/tex]

[tex]\sf{ 2y = 3 }[/tex]

[tex]\sf{ y = 3/2 }[/tex]

Subsituting value of y in eq(3) :-

[tex]\sf{ x = 13 - 4(3/2)/2}[/tex]

[tex]\sf{ x = 13 - 2(3)/2}[/tex]

[tex]\sf{ x = 13 - 6/2}[/tex]

[tex]\sf{ x = 7/2 }[/tex]

Therefore,

[tex]\sf{ Cost\: of \:8 \:drinks}[/tex]

[tex]\sf{ = 8 * 3/2 }[/tex]

[tex]\sf{ = 4 * 3 }[/tex]

[tex]\sf{ = 12.00 dollars}[/tex]

And

[tex]\sf{ Cost\: of \:9 \:hamburgers }[/tex]

[tex]\sf{ = 9 * 7/2 }[/tex]

[tex]\sf{ = 63/2}[/tex]

[tex]\sf{ = 31.50 dollars}[/tex]

Total cost of the 8 drinks and 9 hamburgers

[tex]\sf{ 12.00 + 31.50}[/tex]

[tex]\sf{\red { = 43.50 \:dollars}}[/tex]

Hence, The total cost paid by you for 8 drinks and 9 hamburgers is $43.50 .

Answer:

I think that it's the third one.

Step-by-step explanation:

Answer:

minimum value = 0.001

maximum value = 10

Step-by-step explanation:

To find the minimum and maximum values for the function, substitute the endpoints of the domain into the function:

when x = -3:

[tex]\implies k(-3)=10^{-3}=0.001[/tex]

when x = 1:

[tex]\implies k(1)=10^{1}=10[/tex]

Therefore,

minimum value = 0.001

maximum value = 10

Reducing

30-30*0.3=

21

21+21*0.05=22.05

Answer:

550, 975, 1400, 1825, and 2250

Step-by-step explanation:

Answer:

The value of cot 75° is 2 - √3 or 0.2679(approx).

Step-by-step explanation:

I hope it helps!
Muffin<3

Answer:

  26, 11, 4, 5, 14

Step-by-step explanation:

To find the value of the function, replace the variable with the number and do the arithmetic.

  f(-2) = 4(-2)² -3(-2) +4 = 16 +6 +4 = 26

For doing repetitive calculations, it is convenient to write the formula into a calculator or spreadsheet and let it work from the list of values. That is what we did in the attached. It shows a table of x and f(x) for the values of x you are interested in.

The function values are ...

_____

Additional comment

For evaluating polynomials, either by hand or machine, it is often convenient to rewrite the polynomial in Horner Form. The total number of math operations tends to be reduced. When doing this by hand, the arithmetic tends to be easier.

  f(x) = (4x -3)x +4

That is, the powers of x accumulate as each layer in parentheses is multiplied by x and the next coefficient added to the result.

Using this form, ...

  f(-1) = (4(-1) -3)(-1) +4

  f(-1) = (-7)(-1) +4 = 11

Answer:

(2x + 1)(3x - 2)

Step-by-step explanation:

f(x) = 6x² - x - 2

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 6 × - 2 = - 12 and sum = - 1

the factors are + 3 and - 4

use these factors to split the x- term

6x² + 3x - 4x - 2 ( factor the first/second and third/fourth terms )

= 3x(2x + 1) - 2(2x + 1) ← factor out (2x + 1) from each term

= (2x + 1)(3x - 2) , then

f(x) = (2x + 1)(3x - 2) ← in factored form

Answer:

(a) d = 2.1     (b) a = 8.7

Step-by-step explanation:

[tex]d^{2}+d^{2} = 3^{2}[/tex]

[tex]2d^{2} = 9\\d = \sqrt[2]{9/2} = 2.1[/tex]

The hypotenuse = 5*2 = 10

[tex]5^{2} + a^{2} = 10^{2}\\a^{2} = 100 - 25 = 75\\a = \sqrt{75} = 8.7[/tex]

Answer:

1st one is adjacent

2nd one is complementary

3rd one is adjacent

4th one is complementary

Answer:

C is not true

Step-by-step explanation:

r is not larger than or equal to s

Answer:

112x + 32y

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

      5x

Step-by-step explanation:

x and y are variables

1- Convert the expression

2- Simplify the expression

3- Calculate

Answer:

(0, -7) and (5, 0)

Step-by-step explanation:

y-intercept is when x = 0, therefore (0, -7)

x-intercept is when y = 0, therefore (5, 0)

Answer:

X intercept: (5,0) Y intercept: (0,-7)

Step-by-step explanation:

So you want to look at where you have an x value (input) and it's output (y) is 0 for x intercept, and you want to look at the y value (output) and it's input (x) to be 0 for the y intercept, so on the left we see that 5 = 0, and on the right we see that -7 = 0, and then write them as is, so (5,0) and (0,-7)

Hope that made sense and this helps!

1) The pairs of numbers are:

19 and 91, which do not satisfy the condition

28 and 82, which do not satisfy the condition

37 and 73, which satisfy the condition

45 and 54, which do not satisfy the condition

The number is 37.

Another method:

10x+y+36 = 10y+x, or

9x+36 = 9y, or

x+4= y …(1)

x+y = 10, or

y = 10-x …(2)

Equate (1) and (2)

x+4 = 10-x

2x = 10–4 = 6, or x = 3 so y = 10–3 = 7.

So the number is 37

( Sorry I can answer number 1 i'm in a rush and I don't really use my brain it's useful but also not. I hope someone answer your question number 2 'ᴗ' Good luck! I also hope my answer is useful. )

Answer:

rip

Step-by-step explanation: