The area of a square battlefield was 22,500 square miles. How long will it take a group of soldiers to cross the field diagonally at the rate of 3.2 miles/hour? Show work and explain

QUESTION POSTED AT 15/01/2020 - 03:08 AM

Related questions

It takes Joaquin 1/5 hour to hike 1/4 mile. What is Joaquin's unit rate, in miles per hour?

(1/5) / (1/4) = x/1
cross multiply
1/4x = 1/5
x = 1/5 * 4
x = 4/5....he hikes 4/5 of a mile per hr

ANSWERED AT 29/01/2020 - 05:38 PM


QUESTION POSTED AT 29/01/2020 - 05:38 PM

Simplify. Cos ^-1 (square root 3/2

Hello,

As
cos(30)=sin(60)=\dfrac{\sqrt{3} }{2}\\\\

cos^{-1}(\dfrac{ \sqrt{3} }{2})


=π/6+2kπ or -π/6+2kπ

ANSWERED AT 29/01/2020 - 05:36 PM


QUESTION POSTED AT 29/01/2020 - 05:36 PM

Evaluate 32 + (7 − 2) ⋅ 4 − 6 over 3.

Parenthesis statements are evaluated first such that 7-2 Is 5.
From left to right, multiplication and division are evaluated: 5×4=20 6/3 =2
Finally addition and subtraction equating finally to: 32 + 20 - 2 = 50

ANSWERED AT 29/01/2020 - 05:31 PM


QUESTION POSTED AT 29/01/2020 - 05:31 PM

A square field has an area of 10 square miles. What is the approximate length, to the nearest thousandth, of one side of this field? A.) 2.5 miles B.) 3 miles C.) 3.162 miles D.) 3.612 miles

Area x² = 10

x = √10 ≈ 3.16227

x ≈ 3.162 mile to the nearest thousandth.    Option C.

ANSWERED AT 29/01/2020 - 05:30 PM


QUESTION POSTED AT 29/01/2020 - 05:30 PM

When a rate is simplified so that it has a denominator of 1 unit, it is called a(n)_________ rate

Unit rate is the only one that makes logic sense

ANSWERED AT 29/01/2020 - 05:29 PM


QUESTION POSTED AT 29/01/2020 - 05:29 PM

Andy got a 32% discount on all his purchases at his favorite shop. If he saved $64 on the total bill, the bill amount without the discount was $ and he paid $

32% of what is 64
0.32x = 64
x = 64/0.32
x = 200 <=== thats without the discount

200 - 64 = 136 <== thats with the discount


ANSWERED AT 29/01/2020 - 05:26 PM


QUESTION POSTED AT 29/01/2020 - 05:26 PM

Corinne has a job selling magazines. She earns $7.50 per hour plus 20% of the total amount of her sales. She also gets an allowance of $40 per week for gas. She knows her weekly earnings can be shown using the following expression: 7.50h + 0.20s + 40 Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points) Part B: If Corinne works for 25 hours and sells $300 in magazines, how much does she earn for the week? Show your work to receive full credit. (4 points) Part C: If Corinne gets a raise and begins earning $9 per hour, would the coefficient, variable, or constant in the equation change?

A. variable is an unknown number substituted in by a letter, such as h or s
    coefficient is the number multiplied by the variable.....7n....coefficient is 7
    constant is just a number with no variables attached.
    7.50h + 0.20s + 40.....coefficient is 7.50 or 0.20....variable is h or         s....constant is 40

B. 7.50h + 0.20s + 40 = her pay for the week
     she works 25 hrs....so sub in 25 for h....she sells 300....so sub in 300 for      s. ---- 7.50(25) + 0.20(300) + 40 = 287.50 <== her weekly pay

C. if she made 9 per hr instead of 7.50, the coefficient would change.
     It would be 9.00h + 0.20s + 40

ANSWERED AT 29/01/2020 - 05:24 PM


QUESTION POSTED AT 29/01/2020 - 05:24 PM

Honora started an insect collection. By the fourth week,she collected 32 insects. Week Number of Insects 1 4 2 8 3 16 4 32 5 ? If the pattern continued, how many insects did Honora collect by Week 5?

Weeks                    :     1       2     3        4      5
number of insects  :     4      8     16     32     64

each week ur insect collection doubled...so by week 5, u had 64 insects in ur collection

ANSWERED AT 29/01/2020 - 05:22 PM


QUESTION POSTED AT 29/01/2020 - 05:22 PM

Carbon–14 is a radioactive isotope that decays exponentially at a rate of 0.0124 percent a year. How many years will it take for carbon–14 to decay to 10 percent of its original amount? The equation for exponential decay is At = A0e–rt.

A(t) = Ao*e^(-rt)

-rt = ln [ A(t)/ Ao]

t = - ln [ A(t)/ Ao] / r

r= 0.0124% = 0.0124/100 = 0.000124

A(t)/A0 = 10% = 10/100 = 0.1

Now substitute

t = - ln [0.1] / 0.000124 = 2.3025851 / 0.000124 = 18,569 years

Your result will depend on how you round ln(0.1).

ANSWERED AT 29/01/2020 - 05:20 PM


QUESTION POSTED AT 29/01/2020 - 05:20 PM

Need to see how to work problem 2x-4y-3(7x-2y)

−19x+2y is the answer.

ANSWERED AT 29/01/2020 - 05:19 PM


QUESTION POSTED AT 29/01/2020 - 05:19 PM

A car is traveling at a constant velocity. After two hours the car has traveled 90 miles. After five hours the car has traveled 225 miles. Assuming a linear equation fits this situation, how far will the car have traveled after seven hours?

After 2 hrs, the car has traveled 90 miles....that means the car travels 90/2 = 45 miles per hr. After 7 hrs...the car has traveled 7 * 45 = 315 miles

ANSWERED AT 29/01/2020 - 05:18 PM


QUESTION POSTED AT 29/01/2020 - 05:18 PM

This figure shows the procedure for constructing a A. pair of parallel lines B. perpendicular bisector C. bisector of an angle D. perpendicular from a point on a line

In the question "This figure shows the procedure for constructing a" The correct answer is "bisector of an angle" (option C). To construct an angle bisector: Draw an arc that is centered at the vertex of the angle to intersect both sides of the angle. From the point of intersection of the previous arc and the both sides of the angle, draw two more arcs to intersect at a point. The radius for the two arcs must be equal. Then draw a straight line from the point of intersection of the later set of arcs and the vertex of the angle.

ANSWERED AT 29/01/2020 - 05:17 PM


QUESTION POSTED AT 29/01/2020 - 05:17 PM

Each week, you drive 150 miles. Your car gets 25 miles to the gallon, and gas prices are $3 per gallon. How much gas money will you spend on gas each week?

$18 dollars. you divide 150 by 25 and you should get 6. and you multiply the 6 with the 3

ANSWERED AT 29/01/2020 - 05:15 PM


QUESTION POSTED AT 29/01/2020 - 05:15 PM

Ach week, you drive 150 miles. Your car gets 25 miles to the gallon, and gas prices are $3 per gallon. How much gas money will you spend on gas each week?

Ach week, you drive 150 miles. Your car gets 25 miles to the gallon, and gas prices are $3 per gallon. How much gas money will you spend on gas each week?


19.56521739130435 round it to 20

ANSWERED AT 29/01/2020 - 05:15 PM


QUESTION POSTED AT 29/01/2020 - 05:15 PM

Jordan solved the equation −7x + 25 = 48; his work is shown below. Identify the error and where it was made. −7x + 25 = 48 Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23 Step 3: negative seven times x over seven = twenty-three over seven Step 4: x = twenty-three over seven

She did everything correct in step 1 and 2 
Until step 3 she took a wrong turn. 
She wrote seven times x over seven = twenty-three over 7

When she should have wrote..
negative seven times x over negative seven = twenty-three over negative seven

So her answer was 
23/7 
while it should have been a negative. ->   -23/7 

Good Luck! :) 

ANSWERED AT 29/01/2020 - 05:14 PM


QUESTION POSTED AT 29/01/2020 - 05:14 PM

The average turtle swims at 20 km/h and walks at 5 km/h. find the ratio of swimming to walking rates.

Swimming / walking = 20 / 5
20 / 5
4

therefore the ratio is 4 : 1

ANSWERED AT 29/01/2020 - 05:10 PM


QUESTION POSTED AT 29/01/2020 - 05:10 PM

The combined land area of the countries a and b is 177 ,973 square kilometers. country a is larger by 773 square kilometers. determine the land area of each country.

Let b = x

a = x + 773

x + x + 773 = 177973

2x + 
773 = 177973

2x = 
177973 - 773

2x = 177200

x = 
177200/2

x = 88600

The other is x + 773,  =  8860
0 + 773 = 89373

Each country is 
88600 and 89373 square kilometers.

ANSWERED AT 29/01/2020 - 05:03 PM


QUESTION POSTED AT 29/01/2020 - 05:03 PM

You bought a sports car for $89,000. what will the car be worth after 10 years if the depreciation rate is 8%?

Well it goes down 8% every year so over the 10 years it will be 80% 89,000 minus 80% is 71200

ANSWERED AT 29/01/2020 - 05:01 PM


QUESTION POSTED AT 29/01/2020 - 05:01 PM

Heather is training for a long-distance run. her data points listed below represent the days of practice, x, and the number of miles run, y.(1, 2.5), (2, 4.2), (4, 5.6), (6, 7), (8, 8.1), (10, 11)use the equation to interpolate the value and estimate the distance that she could have run on day 3. round to the nearest tenth of a mile.

Interpolation equation
Poit 1: (a,b)
Point 2: (c,d)
Intermediate point (x,y)

(d - b)/(c - a) = (y - b) / (x - a)

(a,b) = (2, 4.2)
(c,d) = (4, 5.6)

x = 3

(5.6 - 4.2) / (4 - 2)  =  (y - 4.2) / (3 -2)

y =  [1.4/2]*[1] + 4.2

y = 0.7 + 4.2 = 4.9

Answer 4.9 miles

 




ANSWERED AT 29/01/2020 - 04:51 PM


QUESTION POSTED AT 29/01/2020 - 04:51 PM

Ben buys a car for $50,000. the value of the car decreases at a rate of 4% per year. how much will the car be worth in 3 years?

The answer is 44000 because it goes down 4% every year so for the 3 years its 12% 50,000 minus 12% is 44000

ANSWERED AT 29/01/2020 - 04:49 PM


QUESTION POSTED AT 29/01/2020 - 04:49 PM

A vehicle travels a distance of 5t^4 − 10t^2 6 miles in t 2 minutes.what is the vehicles speed in miles/min

You have to divide the distance by the time.

Distance = 5t^4 -10t^2 +6
Time = t+2

Speed = distance / time = [5t^4 -10t^2 + 6] /[t+2]

Which is irreductible.

ANSWERED AT 29/01/2020 - 04:48 PM


QUESTION POSTED AT 29/01/2020 - 04:48 PM

A sketch of the roosevelt room in the white house is drawn to 1/15 scale. the sketch shows a room that is 3 feet by 4.5 feet what are the actual dimensions of the room

Answer: 45 feet by 67.5 feet.

Step-by-step explanation:

Given: To draw the sketch of the Roosevelt room in the white house=\frac{1}{15}

The dimensions of the sketch is 3 feet by 4.5 feet .

To find the actual dimensions of the room multiply the dimensions of the sketch by the reciprocal of scale factor . [because to sketch we need to multiply scale factor to the actual dimensions]

The reciprocal of the scale factor = 15

3 feet → 3\times15=45 feet

4.5 feet → 4.5\times15=67.5 feet

Hence, The dimensions of the actual dimensions of the room is 45 feet by 67.5 feet.

ANSWERED AT 29/01/2020 - 04:47 PM


QUESTION POSTED AT 29/01/2020 - 04:47 PM

A car approaching an intersection has a 0.1 probability of turning left and a 0.2 probability of turning right. explain why the events are mutually exclusive.

There is  no way the car can turn left and right at the same time. Only one occurrence can take place.

ANSWERED AT 29/01/2020 - 04:47 PM


QUESTION POSTED AT 29/01/2020 - 04:47 PM

1) Lance can paint the room in 5 hours, while Kim can paint the same room in 4 hours. How many hours would it take for them to paint the room together? 2) Dominique can ice cupcakes twice as fast as Houston. When they work together, Dominique and Houston can ice a large order of cupcakes in 5 hours. How many hours would it take Houston to ice them by himself?

1. In an hour, Lance can do 1/5 of the job and Kim can do 1/4 of the same job. Letting x be the number of hours it will take them to do the job together.
                                     (1/5 + 1/4) x = 1
The value of x is 20/9 or approximately 2.22 hours. 

2. Same as the concept above, the equation that would best describe the situation is,
                                   (1/x + 1/2x)(5) = 1
The value of x is 7.5 hours. Since this value is the number of hours Dominique can do the job alone, Houston's time will be 15 hours. 

ANSWERED AT 29/01/2020 - 04:37 PM


QUESTION POSTED AT 29/01/2020 - 04:37 PM