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Answer:</h2>
Using the distributive property, we can simplify the expression.
4 × 3 = 12
4 × = 1
4 × = -2
Here is the simplified expression:
First markdown reduces the item to 0.80×495=$396.
The second markdown reduces it to 0.90×396=$356.40.
It’s congruent. The line OL is shared which means it’s congruent for both triangles and since ON is congruent to ED, EN and OD have to be congruent.
Answer: the first number is 11 38/41
The second number is 10 4/41
Step-by-step explanation:
Let x represent the first number.
Let y represent the second number.
4 times one number plus 3 times the other is 78. It means that
4x + 3y = 78- - - - - - - - - -1
3 times the first number minus 8 times the other is -45. It means that
3x - 8y = - 45- - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 3 and equation 2 by 4. It becomes
12x + 9y = 234
12x - 32y = - 180
Subtracting, it becomes
41y = 414
y = 414/41
y = 10 4/41
Substituting y = 414/41 into equation 1, it becomes
4x + 3 × 414/41 = 78
4x + 1242/41 = 78
4x = 78 - 1242/41
4x = 1956/41
x = 1956/41 × 1/4
x = 1956/164
x = 11 38/41
Answer:
(A) The population's growth rate in equation form is y = (0.016t * 7652) + 7652
(B) y = (0.016t * 7652) + 7652 =
y = (0.016(8) * 7652) + 7652 =
y = (0.128 * 7652) + 7652 =
y = 979.456 + 7652 =
y = 8631.456 (Or About) 8631
Step-by-step explanation:
(A) Y = the total population of the town. 0.016 is 1.6% just in its original form. T = the year in which were trying to find the town's total population. 7652 is the total population of the town in 2016. With this information, the equation reads, The total population of the town (Y) is equal to 16% (0.016) of the current year's population (T) added to 2016's population of 7652. (This last sentence can also be read what is 1.6% of the towns population in the year were trying to find. Because the population is always growing, 1.6% gets multiplied as to scale with the total population in year T)
(B) We just substitute (T) for 2024, or 8 years after 2016 (2024-2016) and simplify the equation we made.