Answer:
D=1/2
Step-by-step explanation:
Multiply the numbers
Subtract the numbers
Combine like terms
put 1/2 to the two parts of the equation
last but not least, simplify
Answer:
y=10
Step-by-step explanation:
y/5+7=9
y/5=9-7
y/5=2
y=2*5
y=10
Answer: choice A) 7017
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Work Shown:
The first term is a_1 = 24 and we go up by 7 each time.
The common difference is d = 7
The nth term formula we'll use is
a_n = a_1 + (n-1)*d
a_n = 24 + (n-1)*7
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The 1000th term corresponds to n = 1000
Replace every n with 1000
Then use the order of operations (PEMDAS) to simplify
a_n = 24 + (n-1)*7
a_1000 = 24 + (1000-1)*7
a_1000 = 24 + (999)*7
a_1000 = 24 + 6993
a_1000 = 7017
Answer:
Audrey was charged $3 for each withdrawal.
Step-by-step explanation:
We have to calculate the amount of money charged on one transaction.
In order to find the amount for one ATM withdrawal, the total amount for ATM withdrawals will be divided by number of withdrawals.
Given
Hence,
Audrey was charged $3 for each withdrawal.
<h3>
Answer: C) 136 degrees</h3>
The known acute angle of the triangle is 46 degrees, so the unknown acute angle of that triangle is 90-46 = 44 degrees. In other words, the two acute angles of any right triangle must add to 90, so 46+44 = 90.
The 44 degree angle is adjacent to angle ADC, and it adds to angle ADC to form 180 degrees.
If x is the measure of angle ADC, then
44+(angleADC) = 180
44+x = 180
x = 180-44
x = 136
angle ADC = 136 degrees
For any parallelogram, the opposite angles are always congruent. Therefore, angle ABC is equal to angle ADC = 136, making ABC = 136 as well.
