Marina walks from the police station at (-10, -4) to her friend Marissa’s house at (3, -8). She stops half way at a fast food restaurant to buy a soda. What are the coordinates where she stops?

Answer: answer is (-19/2,-5)

Step-by-step explanation:

To express 645,300 in expanded form using exponents, it is written as [tex]6x10^{5} + 4x10^{4} + 5x10^{3}+ 3x10^{2}[/tex]x, breaking down each digit by its place value and expressing each as a power of 10.

To write the number 645,300 in expanded form using exponents, we break down each digit according to its place value and then express each of these as a power of 10. The place values for the number 645,300 are as follows:

600,000 which is 6 times 100,000

40,000 which is 4 times 10,000

5,000 which is 5 times 1,000

300 which is 3 times 100

Now we express these place values using exponents:

645,300 = [tex]6x10^{5} + 4x10^{4} + 5x10^{3}+ 3x10^{2}[/tex]

This notation shows the number 645,300 written as the sum of each digit multiplied by the appropriate power of 10 based on its position in the number.

Let the number of half dollars be x,

number of quarters = x + 2

amount of half dollars = 0.5x

amount of quarters = 0.25(x + 2)

= 0.25x + 0.5

total amount = 0.5x + 0.25x + 0.5

= 0.75x + 0.5

0.75x + 0.5 = 11.75

0.75x = 11.25

x = 15

number of quarters = x + 2

= 15 + 2

= 17

There are 17 quarters and 15 half dollars.

The Sinclair family lives 28,512 feet away from Southside Middle School, calculated by multiplying 5.4 miles by the number of feet in one mile, which is 5,280 feet.

The Sinclair family lives 5.4 miles from Southside Middle School. To convert this distance from miles to feet, we use the conversion factor that 1 mile is equal to 5,280 feet. To find the distance in feet, we multiply the number of miles by the number of feet in one mile:

5.4 miles  imes 5,280 feet/mile = 28,512 feet.

Therefore, the Sinclair family lives 28,512 feet away from Southside Middle School.

Answer:

The unit rate is 235 calories per hour.

Step-by-step explanation:

General house cleaning (sweeping the floor vacuuming laundry) can burn 470 calories every two hour determine the unit rate.

Unit rate means we have to find the calories burned in 1 hour.

Hence, calories burned in 1 hour = [tex]\frac{470}{2}= 235[/tex]

Answer :

The unit rate is 235 calories per hour.

Answer:

Answer when we  round off 446,221 to the nearest ten is 446,220

Step-by-step explanation:

We need to round off 446,221 to the nearest ten.

Nearest ten to the 446,221 can be 446,220 or 446,230

Difference between 446,221 and 446,220 = 446,221 - 446,220 = 1

Difference between 446,221 and 446,230 = 446,230 - 446,221 = 9

Here the difference is minimum for 446,220

Answer when we  round off 446,221 to the nearest ten is 446,220

Alex broke 3 glasses during the unpacking of the glasses.

As mentioned in the question, Alex was hired to unpack 576 items of glass wear, at five cents per piece unpacked. For every item broken in the process, however, Alex had to pay $1.98. At the end of the job, Alex received $22.71.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

The total amount earned for 576 glasses is given as,
= 576 × 0.05
= $28.80.

Amount earned = $22.71
Amount paid by Alex for the broken glass = $28.80 - $22.71 = 6.09
Total glass broked = 6.09 / 1.98 ≈ 3

Thus, Alex broke 3 glasses during the unpacking of the glasses.

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The range of normal body temperatures for a camel throughout the day is from 34°C to 40°C, inclusive.

To represent the range of normal body temperatures for a camel throughout the day, we'll use an absolute value inequality. Given that the normal body temperature is 37°C and it varies by up to 3°C, we can express this as:

|T - 37| ≤ 3

Where T represents the temperature of the camel throughout the day. This inequality ensures that the temperature remains within 3 degrees above or below the normal body temperature of 37°C.

To solve this inequality, we'll consider two cases:

1. When T - 37 is positive:

T - 37 ≤ 3

T ≤ 40

2. When T - 37 is negative:

-(T - 37) ≤ 3

-T + 37 ≤ 3

-T ≤ -34

T ≥ 34

Combining the two cases, the range of normal body temperatures for a camel throughout the day is 34°C to 40°C.

Answer:3/13

Step-by-step explanation:

Just took test

3/4  is the probability that any veteran game player will like the new computer game.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Given,

New computer game has been developed and 80 veteran game players will test its market potential.  

In this sixty players liked the game.

We need to find the probability that any veteran game player will like the new computer game.

To find the probability we just need to divide sixty by 80.

60/80

3/4

Hence 3/4  is the probability that any veteran game player will like the new computer game.

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divide 52.5o by 7

52.50 / 7 = 7.50 per hour

To calculate the balance after 6 years with compound interest, use the formula Balance = Principal * (1 + Interest Rate)^Time. Substituting the values, we find the balance to be approximately $2,243.89.

To calculate the balance after 6 years, we need to use the formula for compound interest:

Given that the principal (initial investment) is $1600 and the interest rate is 6.5%, we can substitute these values into the formula:

Calculating this, we find that the balance after 6 years is approximately $2,243.89.

The balance after 6 years is approximately $2105.69.

To find the balance after 6 years, we can use the formula for compound interest:

Balance = Principal(1 + Interest Rate)^Ti

Plugging in the given values, we have:

Balance = $1600(1 + 0.065)^6

Simplifying, we get:

Balance = $1600(1.065)^6

Calculating, we find that the balance after 6 years is approximately $oxed{2105.69}.