Answer:
shape 1, 4, 2, and 5
Step-by-step explanation:
look for the equal sizes
4x + 160y = 120
and
1x + 240y = 80
that will be be the equations. if we multiply the bottom equation by 4 we get:
4x + 960y = 320
now subtract one equation from another:
4x + 160y = 120
-(4x + 960y = 320)
and get:
-800y = -200
y = $0.25
now plug this into one equation
x +240(.25) = 80
x + 60 = 80
x = $20
so $20 per day and $0.25 per mile
Answer: 216 square units
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Explanation:
A common pythagorean triple you may be familiar with is the 3-4-5 right triangle. This has two legs of 3 and 4, and a hypotenuse of 5. The perimeter is 3+4+5 = 7+5 = 12. Note how this is a factor of 72.
If we multiply the perimeter (12) by 6, then 12*6 = 72. So we have scaled the triangle by a factor of 6. Each length is 6 times longer
the side length 3 becomes 3*6 = 18
the side length 4 becomes 4*6 = 24
the side length 5 becomes 5*6 = 30
The new perimeter is 18+24+30 = 42+30 = 72
The last step is to find the area. The two legs of this triangle are the base and height
area = 0.5*base*height
area = 0.5*18*24
area = 9*24
area = 216
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Or you could find the area of the 3-4-5 right triangle to get
area = 0.5*base*height = 0.5*3*4 = 6
then multiply by 36 to get 6*36 = 216. The 36 is the square of the scale factor 6 we applied above. The new lengths are 6 times longer, so the new area is 6^2 = 36 times larger.
Answer:
7
Step-by-step explanation:
Create a two-way table with the given information:
Fill in the blanks in the table using <u>mathematical operations</u>:
⇒ Men unemployed = 59 - 40 = 19
⇒ Women employed = 84 - 40 = 44
⇒ Total women = 110 - 59 = 51
⇒ Total unemployed = 110 - 84 = 26
⇒ Women unemployed = 51 - 44 = 7
Reading from the table, 7 women responded that they were unemployed.
In rounding, a number must be 5 or more to round up, and 4 or less to round down.
To round up to 4.26 you would need a number between 4.255 and 4.264
4.258 and 4.261 are two examples
