Answer:
1 pear = $0.75; 1 orange = $0.65
Step-by-step explanation:
(1) 3P + 4O = 4.85
(2) 3P + 10O = 8.75 Eqn (2) - Eqn (1)
3P + 10O – 3P – 4O = 8.75 – 4.85 Combine like terms
6O = 3.90 Divide each side by 6
O = $0.65 Substitute into Eqn (1)
3P + 4×0.65 = 4.85
3P + 2.60 = 4.85 Subtract 2.60 from each side
3P = 2.25 Divide each side by 3
P = $0.75
Oranges cost $0.65 each and pears are $0.75 each
Answer:
13 inches
Step-by-step explanation:
Use the Pythagorean Theorem:
a^2 + b^2 = c^2
(5)^2 + (12)^2 = c^2
c^2 = 169 in^2
c = 13 inches
This situation can be represented by
y = 33x + 223
y = 32x + 239
I still like substitution, so let’s plug in 33x + 223 into the second equation
33x + 223 = 32x + 239
Move the terms into appropriate sides
33x - 32x = 239 - 223
Combine like terms
x = 16
Then plug in x for any equation
y = 32(16) + 239
y = 751
Erin will have to swim 16 laps for a total of 751 meters
The measures of the angles ABCD are the same as the measures of the angles that is corresponding based on the reflected images.
<h3>How to show that the angles are equal</h3>
Based on the fact that this is a reflection, the angles would be equal measures.
What this means is that there is a preservation of the of the reflected image. This is the same logic for the length of the sides.
The reflection is known to be a rigid type of transformation that is known to have its angles and sides preserved.
Read more on reflection in mathematics here:
brainly.com/question/1908648
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Median is just the value that is neither the highest nor the lowest compared with the other values in the set
Mean is just the average of the numbers which is found out by adding up all the numbers then dividing the sum by the number of values in the set
