Answer: -209
Step-by-step explanation:
Formula for arithmetic progression
= a + (n - 1)d
Since a10 = 1 and d = -6
a10 = a + 9d
a + 9(-6) = 1
a - 54 = 1
a = 1 + 54
a = 55
Therefore, 45th term = a + (n - 1)d
= a + (45 - 1)d
= a + 44d
= 55 + 44(-6)
= 55 - 264
= -209
Answer:
he age of girl 3 
years ago is 8.5 years .
Step-by-step explanation:
Given as :
The present age of seventh grader girl = 12 years
Let The age of her 3 years ago = x years
So The age of girl 
years ago = x years
<u>Now, According to question</u>
The age of girl 3.5 years ago = 12 - 3.5
Or, The age of girl 3.5 years ago = 8.5 years
Hence The age of girl 3 years ago is 8.5 years . Answer
Answer: 1. I will bring my umbrella.
2. You work 20 hours a week, and you make $175.00.
Step-by-step explanation:
We know that a conditional statement "If p then q", is an if-then statement in which p is a hypothesis and q is a conclusion.
Now, for the given conditional statement "If it rains, then I will bring my umbrella. "
Here, q=" I will bring my umbrella." Therefore, the conclusion is "I will bring my umbrella".
For the next conditional statement "If you work 20 hours a week, then you make $125.00."
The statement "You work 20 hours a week, and you make $175.00." is false, because $175 is false conclusion here for the same hypothesis.
Answer:
1A: (2,1); (2,4); (6,1); (3,4)
1B: (4,2); (4,8); (12,2); (6,8)
Step-by-step explanation:
1A: It's pretty straightforward-- identify the coordinates for each vertex.
1B: If it's being dilated by a factor of 2, then each vertex is going to be multiplied by a factor of 2. So our vertices would be: (4,2); (4,8); (12,2); (6,8).
Hope this helped!
Yes the treasury can determine whether the gold bar is
really weighing 500 ounces.
We can use the equation:
7 x + 11 y = 500
where x is the amount of the 7 ounce weights while y is
the amount of 11 ounce weights.
We know that x and y should be whole numbers therefore
this is solved through trial and error.
By trial and error I got:
x = 7 and y = 41
<span>
So that;</span>
7 * 7 + 11 * 41 = 500
49 + 451 = 500
500 = 500
<span>Hence they can use 41 11-ounce weights and 7 7-ounce
weights to test</span>
