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RUDIKE [14]
3 years ago
8

2. Wilton drives a taxicab. He charges $40 per hour. One passenger gave Wilton a tip of $30. He gave Wilton a total of $150. He

is wondering how many total hours he drove the passenger.
(a) Define the unknown in the scenario and assign it a letter or symbol.
(b) Write an equation to represent the amount of money Wilton earned on the trip.
Mathematics
2 answers:
k0ka [10]3 years ago
8 0
 The unknown is rather the question of how many hours the taxi drove. We can give it the symbol X.

Your equation would be: 40x + 30 = 150

(SOLVED):
40x +30(-30) = 150(-30)
40x= 120
40/40=120/40
x=3

*The driver drove the passenger for 3 total hours*

Hope this was helpful to you! Have a good one.
Reptile [31]3 years ago
6 0

Answer:


The unknown information is the time. So let t represent it.


The equation is 40t + 30 = 150



Hope this helps!

Please mark me brainliest!

I took the test



~Courtney


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A ships triangular signal flag has a base of 8 inches and an area of 64 square inches. What is the height of the signal flag
Firlakuza [10]
A = (1/2)bh
64 = (1/2)(8)h
16 = h
The height is 16 inches
7 0
3 years ago
Write the slope intercept form of the equation of the line through the given point with the given slope
aleksandrvk [35]

Given that,

Point = (-5,3)

Slope, m = -3/5

To find,

The slope intercept form of the equation of the line.

Solution,

The general form of equation is :

y = mx +b

We have, x = -5, y = 3

So,

3=\dfrac{-3}{5}(-5)+b\\\\3=-3+b\\\\b = 6

The equation is :

y=\dfrac{-3}{5}x+6

Hence, the required equation is y=\dfrac{-3}{5}x+6.

5 0
2 years ago
Andrew has three times as many pencils as Noah and five pens he has 17 pens and pencils altogether how many pencils does Noah ha
Novay_Z [31]

9514 1404 393

Answer:

  4

Step-by-step explanation:

The distributive property does not appear to be involved in this question.

Let n represent the number of Noah's pencils. Then Andrew's total is ...

  3n +5 = 17

  3n = 12 . . . . . subtract 5 from both sides

  n = 4 . . . . . .  divide both sides by 3

Noah has 4 pencils.

7 0
2 years ago
Lenny and Lisa have obtained a 30-year, fixed rate mortgage for $675,250 with a 7.25% interest rate. They purchased 3 points and
Vikentia [17]

Answer:

119 months

Step-by-step explanation:

In this question, we are asked to calculate the amount of time it would take for a break-even point on a mortgage, if there is a factoring in the cost of points.

We proceed to answer the;

Mathematically,

The Break Even Point = Amount Paid for purchasing Discount Points divided by Monthly savings in the interest payments

We lost out the important values given in the question as follows:

Amount of Mortgage - $675,250

Tenure - 30 Years

The Rate of interest without points = 7.25%

The number of points = 3 points

The rate of interest with the 3 points = 6.875%

The amount to be paid for purchasing the discount point is now calculated below;

Since 1 discount point = 1% of mortgage value;

Therefore, 3 discount points = 3% of mortgage value

The amount paid is thus = 3% of $675,250 = $20,257.5

To calculate Monthly payment without points, we use the mathematical formula;

M = P[r(1+r)^n/((1+r)^n)-1)]

Where M

Is monthly payment, r is the interest rate, n is the number of months.

According to the question M = 675,250, r = 7.25% = 7.25/100 = 0.0725 , n= 30 * 12 months = 360 months

M = 675,250[0.0725(0.0725+1)^30/(1+0.0725)^360)-1) = $4606.40

To get the monthly payment with points, we simply use the formula again but this time interest rates will be 6.875% = 0.06875 I.e r = 0.06875

Inputting the terms in the formula will yield a value of $4435.91. This means monthly payment with discount will be $4435.91

Savings in monthly payments after purchasing the discount points = $4,606.40 - $4,435.91 = $170.48

Break Even = Purchase cost of Discount Points / Monthly savings

= $20,257.5 / $170.48

= 119 Months

Hence, the number of months it will take Lisa and Lenny to break-even point on their mortgage will be 119 months

6 0
3 years ago
What is x * 5 = 25 idk what this mean
morpeh [17]
5x = 25
x = 5

anything 2 ask please pm me
6 0
3 years ago
Read 2 more answers
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