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Dennis_Churaev [7]
3 years ago
11

Hector gave 1/4 of his money and an additional $1 to calista he gave 1/5 of his remaining money and an additional $4 to Karen th

e amount of money hector had left in the end was $31 more than the amount of money he gave to Karen.find the amount of money hector gave to calista
Mathematics
2 answers:
Dvinal [7]3 years ago
6 0
I believe in youuuu you can do itttt
baherus [9]3 years ago
6 0
Kalisa high is only $.50 left because she gave the remaining money to Karen and she was ending with $31 so now we have found the amount that you get Kalisa is only $.50
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I need help on case number 6
Feliz [49]

1/2 + 1/2 + 2/3 + 3/4 + 47/48 + 48/49 +49/50 = 5.35542517007

This decimal form is ≈ to 5 2/5

8 0
3 years ago
A biker travels the 120 mi from New York , NY to Wilmington, DE in 8 hours. A bus, a truck, and a rider on a horse take the same
pickupchik [31]

Answer:

First, remember the relation:

Distance = Speed*Time.

We know that the distance is 120mi.

A) For the biker we know that:

Time  = 8hours.

Speed = Distance/Time = 120mi/8h = 15 mi/h.

B) For the bus we know that:

Time = 2 hours.

Speed = Distance/Time = 120mi/2h = 60 mi/h.

C) For the truck we know that:

Time = 2.5 hours.

Speed = Distance/Time = 120mi/2.5h = 48 mi/h.

D) For the rider on a horse we know that:

Time = 18.75 hours.

Speed = Distance/Time = 120mi/18.75h = 6.4 mi/h.

E) The equation for the speed is:

Speed = Distance/Time.

You can see that time is in the denominator, this means that if for a fixed distance, the time increases, then the denominator increases, which would imply that the speed decreases.

Then the speed is inversely proportional to the time when the distance is fixed.

4 0
3 years ago
How can you tell that −10 and −20 are solutions to this inequality, but 10 is not? 3n − 40 < −5n + 8
pochemuha

Step-by-step explanation:

-10 or -20 satisfies the equation.

But when you substitute 10 in:

30-40<-50+8

-10<-42(wrong)

it's wrong

6 0
3 years ago
I will give like a ton of points if you answer this correctly!
AleksandrR [38]

Answer:

<u>I'll give the choices by the number below:</u>

  • 1. 45 miles. Taken from the table at day 0.
  • 2. 39 miles. Given for Miguel.
  • 3. Jose's. His goal has a greater value 45 > 39.
  • 4. 5 miles a day. Change per day as per table.
  • 5. 6.5 miles a day. Given.
  • 6. Miguel's. Comparing 6.5 > 5

8 0
3 years ago
The water level in a lake was monitored and was noted to have changed -2 1/3 inches in one year. The next year it was noted to h
Diano4ka-milaya [45]

Answer:

The total change in water level over the past 2 years is \displaystyle -4 \frac{1}{6}.

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Fractions

  • Proper and Improper

Numbers

  • Least Common Multiple (LCM)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Year 1 water change:  \displaystyle -2 \frac{1}{3}

Year 2 water change:  \displaystyle -1 \frac{5}{6}

<u>Step 2: Find Total Water Change</u>

  1. [Set up] Add yearly water changes:                                                                \displaystyle -2 \frac{1}{3} + -1 \frac{5}{6}
  2. [Fractions] Convert to improper:                                                                     \displaystyle \frac{-7}{3} - \frac{11}{6}
  3. [Fraction] Rewrite [LCM]:                                                                                  \displaystyle \frac{-14}{6} - \frac{11}{6}
  4. [Order of Operations] Subtract:                                                                       \displaystyle \frac{-25}{6}
  5. [Fraction] Convert to proper:                                                                           \displaystyle -4 \frac{1}{6}
5 0
3 years ago
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