A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of 10 times and spent a total of 37 tickets Which equation is true?

QUESTION POSTED AT 18/01/2020 - 07:23 AM

Answered by admin AT 18/01/2020 - 07:23 AM

Let x be the number of times that Michael rode on the roller coaster and let y be the number of times that he rode on the boat, then: x + y = 10 [because he went on the two rides a total of 10 times], and 4x + 3y = 37 [because a ride on a roller coaster costs 4 tickets and the boat ride costs 3 tickets and he spent a total of 37 tickets] From the first equation, 4x + 4y = 40 subtracting the second equation from the third equation gives: y = 3, and from the first equation x = 10 - y = 10 - 3 = 7 Therefore, Michael rode on the roller coaster 7 times and on the boat 3 times.
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Related questions

How is a good way on how to know how to solve linear equations with a variable on each side?

If the variable is the same you can combine it

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QUESTION POSTED AT 24/02/2020 - 12:37 AM

Given a scatter plot, How do you find the equation of the line of best fit?

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ANSWERED AT 24/02/2020 - 12:35 AM


QUESTION POSTED AT 24/02/2020 - 12:35 AM

Solve the following system of equations by the substitution method. 5x = y + 6 2x - 3y = 4 What is the value of the y-coordinate? -8/13 13/14 14/13

5x = y + 6 (I)
2x - 3y = 4 (II)
-------------------
We have:
5x = y + 6 → x =  \frac{y+6}{5}

Soon:
2x - 3y = 4 → 2* (\frac{y+6}{5}) - 3y = 4\to \frac{2y+12}{5} - 3y = 4
least common multiple (5)
\frac{2y+12}{5} - 3y = 4\to \frac{2y+12}{\diagup\!\!\!\!\!5} - \frac{15y}{\diagup\!\!\!\!\!5} = \frac{20}{\diagup\!\!\!\!\!5}
2y + 12 - 15y = 20
- 15y + 2y = 20 - 12
- 13y = 8
\boxed{\boxed{y = - \frac{8}{13} }}\end{array}}\qquad\quad\checkmark


ANSWERED AT 24/02/2020 - 12:34 AM


QUESTION POSTED AT 24/02/2020 - 12:34 AM

Which equation is the inverse of y = 2x2 – 8?

A. is the correct answer y= +or- sqrt x+8/2

ANSWERED AT 24/02/2020 - 12:34 AM


QUESTION POSTED AT 24/02/2020 - 12:34 AM

An electrician charges a flat fee plus an hourly rate for a service call. She charges a total of $94 for a 3-hour service call on Monday and $130 for a 5-hour service call on Tuesday. How much should she charge for a 2-hour service call? $36 $52 $76 $98

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Charges for a 3 hour service call on Monday = $94

Charges for a 5 hour service call on Tuesday = $130

So, our coordinates will be (3,94) and (5,130)

As we know the "Two point form":

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-94=\frac{130-94}{5-3}(x-3)\\\\y-94=\frac{36}{2}(x-3)\\\\y-94=18(x-3)\\\\y-94=18x-54\\\\y-18x=-54+94\\\\y-18x=40

Now, we need the charges for 2 hour service call.

Let x = 2 hours

We get that

y-18x=40\\\\y-18\times 2=40\\\\y-36=40\\\\y=40+36\\\\y=76

Charges for 2 hour service = $76.

Hence, Third option is correct.

ANSWERED AT 24/02/2020 - 12:34 AM


QUESTION POSTED AT 24/02/2020 - 12:34 AM

The total mass of 4 identical cans is 800 grams. What is the mass, in grams, of each can? A 200 B 796 C 804 D 3200

You had to divide 800 by 4 witch is 200.
800/4=200

ANSWERED AT 24/02/2020 - 12:30 AM


QUESTION POSTED AT 24/02/2020 - 12:30 AM

If the diameter of is 10 what is the radius

5 because of of the diameter is the radius :)

ANSWERED AT 24/02/2020 - 12:28 AM


QUESTION POSTED AT 24/02/2020 - 12:28 AM

will give brainliest worth 10 points' What is the value of –112.84 – 54.14 – (–29.18)? –137.8 –29.52 87.88 196.16

The answer is going to be -137.8

ANSWERED AT 24/02/2020 - 12:25 AM


QUESTION POSTED AT 24/02/2020 - 12:25 AM

will give brainliest worth 10 points' What is the value of –112.84 – 54.14 – (–29.18)? –137.8 –29.52 87.88 196.16

It's   a .   –137.8.    Hope this is helpful.

ANSWERED AT 24/02/2020 - 12:25 AM


QUESTION POSTED AT 24/02/2020 - 12:25 AM

How many of the numbers from 10 through 92 have the sum of their digits equal to a perfect​ square?

All the numbers in this range can be written as 10d_1+d_0 with d_1\in\{1,2,\ldots,9\} and d_2\in\{0,1,\ldots,9\}. Construct a table like so (see attached; apparently the environment for constructing tables isn't supported on this site...)

so that each entry in the table corresponds to the sum of the tens digit (row) and the ones digit (column). Now, you want to find the numbers whose digits add to perfect squares, which occurs when the sum of the digits is either of 1, 4, 9, or 16. You'll notice that this happens along some diagonals.

For each number that occupies an entire diagonal in the table, it's easy to see that that number n shows up n times in the table, so there is one instance of 1, four of 4, and nine of 9. Meanwhile, 16 shows up only twice due to the constraints of the table.

So there are 16 instances of two digit numbers between 10 and 92 whose digits add to perfect squares.

ANSWERED AT 24/02/2020 - 12:22 AM


QUESTION POSTED AT 24/02/2020 - 12:22 AM

Suppose x and y vary inversely and y=10 when x=4. write a function that models the variation then find y when x =90

X = k/y
4 = k/10
k = 4 x 10 = 40
Thus, x = 40 / y

90 = 40 / y
y = 40/90 = 4/9

ANSWERED AT 24/02/2020 - 12:18 AM


QUESTION POSTED AT 24/02/2020 - 12:18 AM

Hank is building a dog run for his dog. He wants the ratio of the length to the width of the dog run to be 5 : 2. If he builds the dog run so the length is 10.5 feet, which equation can be used to solve for the width, x? What is the value of x?

Answer:

The equation is \\ \frac{5}{2} : \frac{10.5ft}{x}; The value of x is 4.2ft.

Step-by-step explanation:

A ratio is like a constant that remains between two values, and we can use it to find whatever others that keep the same constant relation between them.

Hank wants a dog run that keeps a constant relation between length to the width. That is, the length must be 2.5 times to the width ( \\ \frac{5}{2} = 2.5 ).

So, knowing that ratio or constant, we can represent it as follows:

\\ \frac{lenght}{width} : \frac{5}{2} \\ [ 1 ]

But, it also could be expressed as the relation between the width to the length:

\\ \frac{width}{length}:\frac{2}{5} [ 2 ]

He wants a lenght of 10.5ft for building a dog run for his dog, and that this new value must keep the ratio just explained [ 1 ] to the width expected.

So, the equation is:

\\ \frac{5}{2} : \frac{10.5ft}{x}

And we have to find the value for x that solve this equation.

However, we can use an easier way to represent this using the equation [ 2 ] for solving x :

\\ \frac{w}{l} :\frac{2}{5} : \frac{x}{10.5ft} \\\\ x = \frac{2 * 10.5ft}{5}=4.2ft\\

That is, the width must be 4.2ft to keep the ratio length to the width 5:2 ( or the ratio width to the length 2:5).

To check this answer:

\\ \frac{length}{width} : \frac{5}{2} =2.5

\\ \frac{length}{width} = \frac{10.5ft}{4.2ft} = 2.5.

\\ \frac{width}{length} : \frac{2}{5} = 0.4\\

\\ \frac{width}{length} = \frac{4.2ft}{10.5ft} = 0.4.

ANSWERED AT 24/02/2020 - 12:12 AM


QUESTION POSTED AT 24/02/2020 - 12:12 AM

Use the relationship between the angles in the figure to answer the question. Which equation can be used to find the value of x? Drag and drop the equation into the box.

Answer:

1. 52° + x° + 67° = 180°

2.  x° + 22° = 90°

Step-by-step explanation:

1. In the first figure,

Since the angles given are supplementary angles i.e. their sum is 180°

So, we get,

52° + x° + 67° = 180°

i.e. x° = 180° - 119°

i.e. x° = 61°

Thus, the expression to find the value of x is 52° + x° + 67° = 180°.

2. In the second figure,

Since the angles given are complementary angles i.e. their sum is 90°

This gives us,

x° + 22° = 90°

i.e. x° = 90° - 22°

i.e. x° = 68°

Hence, the expression to find the value of x is x° + 22° = 90°

ANSWERED AT 24/02/2020 - 12:11 AM


QUESTION POSTED AT 24/02/2020 - 12:11 AM

A country is considering two income tax rates. Geoffrey is comparing what his tax bill would be under each plan. Under plan A, he pays 5% on the first $10,000. The next $85,000 is taxed at a rate of 10%. Any money earned above $95,000 is taxed at 15%. He made $98,000 last year.

Answer:

The total tax rate for each plan is computed below:

Plan A= [5%(10000)]+[10%(85000)]+[(15%(3000)]

Plan A= $9450

For Plan B, tax is computed at 10% across all earnings

Plan B= 10%x(98000)

Plan B= $9800

Difference = Plan B-Plan A=($9800-$9450)

                   = $350

From the computed tax rate in each plan. Plan B will pay $350 more than Plan A.

Step-by-step explanation: Just took the quiz on Edge, and paid for the verified answer on here

ANSWERED AT 24/02/2020 - 12:10 AM


QUESTION POSTED AT 24/02/2020 - 12:10 AM

12c - 4 = 14c - 10 c = ? !!!

The answer to this question is c=3

ANSWERED AT 24/02/2020 - 12:08 AM


QUESTION POSTED AT 24/02/2020 - 12:08 AM

Ms. Nersin likes to ride her bike. She rode for 1/2 hour. After a short rest, she rode 3/10 hour more. She traveled 5 miles in all. What was her average speed?

Av speed=total distance/ time

total time=1/2+3/10
t=4/5
Av speed=5/4/5
=5*5/4=25/4=6.25miles/hr

ANSWERED AT 24/02/2020 - 12:05 AM


QUESTION POSTED AT 24/02/2020 - 12:05 AM

Can someone PLEASE walk me through this?? Solve by the linear combination method (with or without multiplication). 8x + 2y = 4 –4x + 3y = –10 A. (1, 3) B. (2, 3) C. (1, 2) D. (1, –2)

Here, Multiply second equation by 2, 
-8x + 6y = -20

Now,Add both the equations in order to eliminate x from the expression,
8y= -16
y = -16/8
y = -2

Substitute the value in 1st equation, 
8x + 2(-2) = 4
8x = 4 + 4
x = 8 / 8
x = 1

In short, Your Answer would be Option D) (1, -2)

Hope this helps!

ANSWERED AT 24/02/2020 - 12:04 AM


QUESTION POSTED AT 24/02/2020 - 12:04 AM

F(x)=|x-5|+2 Evaluate f(3). A.) 10 B.) 0 C.) 4 D.) 6

F(x)=|x-5|+2
plug it in

so f(3)
f3)=|3-5|+2
solve whats inside first
|-2|+2
since its absolute value its actually positive
2+2
4

Your answer is C.) 4

ANSWERED AT 24/02/2020 - 12:01 AM


QUESTION POSTED AT 24/02/2020 - 12:01 AM

Principal = $8100; rate = 17%; time = 7 years What is the amount of interest earned?

it must be nnnnnnnnnnnnnnnnnnnnnnnnn
4.37%

ANSWERED AT 24/02/2020 - 12:00 AM


QUESTION POSTED AT 24/02/2020 - 12:00 AM

If <3 and <4 are complementary and cg bisects < acex all of the following are true except

D is incorrect
∠GCD makes=135
as∠ GCD=∠4+∠6
∠GCD=45+90=135°

ANSWERED AT 24/02/2020 - 12:00 AM


QUESTION POSTED AT 24/02/2020 - 12:00 AM

What is the value of z in the equation 3z + 5 = 4z − 8? hurry

Answer:

The value of z is 13.

Step-by-step explanation:

Given:  Equation 3z + 5 = 4z − 8

We have to solve for z.

Consider the given equation

3z + 5 = 4z − 8

Subtract 3z both sides, we have,

3z -3z + 5 = 4z − 8 -3z

Simplify, we have,

5 = z − 8

Now, add  8 both side, we have,

5 + 8 = z - 8 + 8

Simplify, we get,

13 = z

Thus, The value of z is 13.

ANSWERED AT 23/02/2020 - 11:59 PM


QUESTION POSTED AT 23/02/2020 - 11:59 PM

A rectangle has a base equal to 10 and height equal to 4 ft what is the perimeter

It's 28 because 10+10=20 and 4+4=8 then add those together

ANSWERED AT 23/02/2020 - 11:59 PM


QUESTION POSTED AT 23/02/2020 - 11:59 PM

Which is the polynomial equation of lowest degree that has –10, –1, 3, and 4 as roots? f(x) = (x – 10)(x – 1)(x + 3)(x + 4) f(x) = x(x – 10)(x – 1)(x + 3)(x + 4) f(x) = (x + 10)(x + 1)(x – 3)(x – 4) f(x) = x(x + 10)(x + 1)(x – 3)(x – 4)

Answer:

f(x) = (x + 10)(x + 1)(x – 3)(x – 4)

Step-by-step explanation:

If the roots are -10. -1, 3, and 4 then look for factors (x+10)(x+1)(x-3)(x-4) since factors have the opposite sign of the root. This means

f(x) = (x – 10)(x – 1)(x + 3)(x + 4)

f(x) = x(x – 10)(x – 1)(x + 3)(x + 4)

are NOT solutions.

Lowest degree means no extra variables are added. This means

f(x) = x(x + 10)(x + 1)(x – 3)(x – 4)

is NOT a solution,

The solution is f(x) = (x + 10)(x + 1)(x – 3)(x – 4).

ANSWERED AT 23/02/2020 - 11:58 PM


QUESTION POSTED AT 23/02/2020 - 11:58 PM