Ali and Kiana buried a treasure together on their school's field. The actual field is 400 feet wide. Ali made an 8-inch-wide map to record its location. Kiana made her map using a scale of 1 in. To 20 ft. On Kiana's map, the treasure is 2 inches from the south edge of the field. How far is the treasure from the south edge on Ali's map?

Answers

Answer 1
Answer:

Answer:

The treasure is 0.8 inches from the south edge on Ali's map.

Step-by-step explanation:

Scaling factor, f = (Original length)/(Scalet length)...(i)

Let f_1 and f_2 be the scaling factors used by Ali and Kiana respectively.

Given that the field is 400 feet= 400x12 inches wide and Ali made an 8-inch-wide map to record its location.

So, f_1 = (400*12)/8=600...(ii)

Kiana made her map using a scale of 1-inch to 20 feet=20x12 inches.

So, f_2=(20*12)/1=240...(iii)

As on Kiana's map, the treasure is 2 inches from the south edge of the field,

so, from equations (i), and (ii), the original length of the treasure for the south edge of the field

=2* f_2

=2x240

=480 inches

Now, again from the equation (i) and (ii), the scaled length of the treasure on Ali's map

= 480/f_1

=480/600

=0.8 inches

Hence, the treasure is 0.8 inches from the south edge on Ali's map.


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If the volume for 3-D polyhedra A is 200 cm3 and the volume for 3-D polyhedral B is 800 cm3, how many times bigger is the volume of pyramid B than pyramid A? A. 0.4% B. 4% C. 40% D. 400%

Answers

Answer:

400%

Step-by-step explanation:

Given :

The volume for 3-D polyhedral A is 200 cubic cm.

The volume for 3-D polyhedral B is 800 cubic cm.

To Find: how many times bigger is the volume of pyramid B than pyramid A?

Solution:

Since we are supposed to find how many times bigger is the volume of pyramid B than pyramid A.

\frac{\text{Volume of Polyhedral B}}{\text{Volume of Polyhedral A}} * 100

(800)/(200) * 100

4 * 100

400\%

Thus Option D is correct.

Hence the volume of pyramid B is 400% times bigger than pyramid A.

You can use the volume of pyramid B divided by volume of pyramid A and multiply 100%. That is 800/200*100%=400%. So the answer is D. 400%.

Which of the following employees has the greatest total employee compensation?a.
Employee A: total job benefits $49,200 and total job expenses $300
b.
Employee B: total job benefits $49,500 and total job expenses $500
c.
Employee C: total job benefits $ 49,800 and total job expenses $700
d.
Employee D: total job benefits $50,100 and total job expenses $900

Answers

We have to choose the correct answer which of the employees has the greatest total employee compensation. We just have to subtract the job expenses from total job benefits for everyone of them. A: $49,200 - $300 = $38,900. B : $49,500 - $500 = $49,000. C : $49,800 - $700 = $41,100. D : $50,100 - $900 = $49,200. The largest sum is $49,200 ( employee D ) . Answer: The greatest total employee compensation has Employee D.
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The square of a number exceeds that number by 12. What are the two possible solutions?3 or -4
3 or 4
-3 or 4

Answers

x^2=x+12
minus x+12 both sides
x^2-x-12=0
factor
(x-3)(x+4)=0
set each to zero

x-3=0
x=3

x+4=0
x=-4

x=3 or -4

answer is first one
The square of a number exceeds that number by 12. What are the two possible solutions would e B i think

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Answers

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y=2x-3
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Find the value of log 1.0125

Answers

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A 3-column table with 4 rows. Column 1 is labeled Rectangle with entries A, B, C, D. Column 2 is labeled Width with entries 3 feet, 6 feet, 15 feet, 60 feet. Column 3 is labeled Length with entries 5 feet, 10 feet, 25 feet, 90 feet. Which rectangle is not an enlargement of rectangle A? A B C D

Answers

Answer:

The answer is d

Step-by-step explanation:

Answer:

it  D

Step-by-step explanation:

hope it helps