Answer:
![\mathrm{D)\:}9.4\: \mathrm{units}](https://tex.z-dn.net/?f=%5Cmathrm%7BD%29%5C%3A%7D9.4%5C%3A%20%5Cmathrm%7Bunits%7D)
Step-by-step explanation:
<u>Solution 1:</u>
Notice the
coordinate of both points are equal, meaning both points are on a vertical line. The distance between two points on a vertical line is the absolute difference of their y-coordinates. The absolute difference between
and
is
.
<u>Solution 2:</u>
The distance between two points
and
is:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Plugging in given values, we have:
.
The answer to this problem is 48.
Let 'x' represent the number of baskets and let 'y' be the total cost.
Since the paint costs 14.50 and each basket cost 7.25, then we have the following function:
![y=7.25x+14.50](https://tex.z-dn.net/?f=y%3D7.25x%2B14.50)
To find the cost of 4 baskets, we can make x = 4 and solve for y:
![\begin{gathered} x=4 \\ \Rightarrow y=7.25(4)+14.50=29+14.50=43.50 \\ y=43.50 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D4%20%5C%5C%20%5CRightarrow%20y%3D7.25%284%29%2B14.50%3D29%2B14.50%3D43.50%20%5C%5C%20y%3D43.50%20%5Cend%7Bgathered%7D)
therefore, the cost of painting 4 baskets is $43.50
Answer:
- 0.125
Step-by-step explanation:
Given the equation :
(0.020(5/4) + 3 ((1/5) – (1/4)))
0.020(5/4) = 0.025
3((1/5) - (1/4)) = 3(1/5 - 1/4) = 3(-0.05) = - 0.15
0.025 + - 0.15 = 0.025 - 0.15 = - 0.125
Answer:
49. to the left two spaces (place values)
50. 4.35 m
51. to the right three spaces (place values)
52. 12,000 mL
53. to the right six spaces (place values)
54. 3,000,000
Step-by-step explanation:
49. 1 centimeter is equal to
of a meter. In other words, there are 100 cm in 1 meter. To convert from cm to m, you would move the decimal to the left because meters are larger than centimeters meaning a large number of centimeters would convert to a smaller number of meters. The decimal will move two places because there are 100 cm in 1 meter. (look at the number of zeros to determine how many spaces to move)
50. Follow the rule from the 49:
435.00 → 4.35
51. 1 liter is equal to 1000 milliliters. This means the number will increase, moving the decimal to the right. The decimal will move three places because each place value equals 10x and 10 · 10 · 10 = 1000. (look at the number of zeros to determine how many spaces to move)
52. Follow the rule from 51:
12.00 → 12,000
53. 1 megameter is equal to 1,000,000 meters. This means the number will increase, moving the decimal to the right. The decimal will move six spaces because each place value equals 10x. 10 · 10 · 10 · 10 · 10 · 10 = 1,000,000 (look at the zeros to determine how many spaces to move)
54. Follow the rule from 53:
3.00 → 3,000,000