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harina [27]
3 years ago
9

Two pairs of statements about Jeff's housing expenditures are given below. How can both pairs of statements be true?

Mathematics
1 answer:
Irina18 [472]3 years ago
5 0

Explanation:

Pair 1 is true if Jeff's monthly income is $600/20% = $3,000.

Pair 2 is true if Jeff's monthly income is $1200/10% = $12,000.

Both pairs can be true if Jeff's monthly income increased by a factor of 4 in the 20 years from 1990 to 2010.

Obviously, Jeff spent more on housing in 2010. (Fortunately for Jeff, that larger expenditure was a smaller fraction of his income.)

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A map is being reduced to from a pocket sized version. What is the scale factor being used to reduce the map?
Aneli [31]

Answer and explanation:

If a map is being reduced to form a pocket sized version then it is being proportionality reduced a smaller size that is required. Cartographers enlarge and reduce maps proportionally to serve different purposes in their study. The map is still the same but smaller in size.

If on a map 2cm represents 2 meters, that is 0.02/2 which evaluates to 1/100, then we are comparing distance and ensuring they are proportional using scale factor(our scale factor is 1:100 here)

8 0
3 years ago
What is 3/4 multiplied by 9 as a mixed number??
mixer [17]

Answer:

6 3/4

Step-by-step explanation:

3/4 * 9 = 27/4

How many times does 4 go into 27

It goes in 6 times  (4*6 = 24)  with 3 left over

The left over part goes over the denominator

6 3/4

4 0
3 years ago
Craig has a rectangle wooden deck that measures 799 inches by 245 inches that he wants to put a string of lights around. What le
tino4ka555 [31]

Answer:

He should buy lights that are 2088 inches long

Step-by-step explanation:

Craig has a rectangle wooden deck that measures 799 inches by 245 inches.

Let us say the length, L, is 799 inches and the breadth, B, is 245 inches.

He wants to put a string of lights around the deck.

This means that he needs to buy the length of lights that would be equal to the perimeter of the rectangular deck.

The perimeter of a rectangle is given as:

P = 2(L + B)

Hence, the length of lights he should buy is:

P = 2(799 + 245) = 2(1044)

P = 2088 inches

He should buy lights that are 2088 inches long.

5 0
3 years ago
In November, the price of a GizmoPhone was double the price in March. In December, the price was $57, which was $29 less than th
Jet001 [13]
<span>December = $57

</span><span>In December, the price was $57, which was $29 less than the price in November then November price was: $57 + $29 = $86
</span><span>In November, the price of a GizmoPhone was double the price in March. so March: $86 x 2 = $172

answer: the price </span>of a GizmoPhone in March was $172
7 0
3 years ago
Find the volume of the solid, please
dsp73

Answer:

V \approx=1436.8

Step-by-step explanation:

Variables and symbols:

  • r = radius
  • V = volume
  • A = surface area
  • C = circumference
  • π = pi = 3.1415926535898
  • √ = square root

Volume of a sphere in terms of radius:

V = \frac{4}{3}\pi r^3 , V \approx 4.1888r^3

To calculate the volume of a sphere:

Usually the hardest part is measuring or estimating the diameter of the sphere. Special tools exist for smaller parts like balls in ball-bearings, but it gets more complicated if the size is large. Knowing that the diameter is the largest internal measurement you can take should help.

Once you have the measurement, to find the volume use the formula above, in which π is the well-known mathematical constant equal to about 3.14159. To adjust for a half-sphere calculation, just divide the result by two.

Spheres and half-spheres are useful in engineering and architecture due to their property of being able to take equal amounts of pressure or force from each direction.

Solution:

V=\frac{4}{3} \pi r^{3} =\frac{4}{3} *\pi *7^{3}  \approx1436.75504

Round to nearest tenth: 1436.8

5 0
2 years ago
Read 2 more answers
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