# 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

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

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### 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 → Soon:
2x - 3y = 4 → least common multiple (5)     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

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

Let x = 2 hours

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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 ### Jose and a group of friends bought concert tickets for$257. The booking agency also charged a fee, bringing the total cost to $274.99. The amount of change is$17.99. What is the percent increase in the cost due to the fee?

There is a 7% increase.

Step-by-step explanation:

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

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

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

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

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

### The distance a body falls from rest varies as the square of the time the body is falling. If a body falls 64 ft. in two seconds, how far will it fall in seven seconds? A) 78 feet B) 224 feet C) 784 feet

C) 784 feethope that helps!!!

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

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

### Mr. Valenzuela’s new bottle of shampoo contains 60 ounces of shampoo. He uses ounce of shampoo each time he washes his hair. Which equation can be used to find x, the number of washes after which 24 ounces will remain in the bottle?

Step-by-step explanation:

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

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)

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