The complete question in the attached figure
we have that
the value of the digit in the hundreds place in the number 653,841 is---> 800
case A) 748,917
the value of the digit in the thousands place------> 8000
1/10 the value of the digit is-------> (1/10)*8000=800
800=800---------------> is ok
case B) 749,817
the value of the digit in the thousands place------> 9000
1/10 the value of the digit is-------> (1/10)*9000=900
900 is not 800
case C) 784,817
the value of the digit in the thousands place------> 4000
1/10 the value of the digit is-------> (1/10)*4000=400
400 is not 800
case D) 797,481
the value of the digit in the thousands place------> 7000
1/10 the value of the digit is-------> (1/10)*7000=700
700 is not 800
the answer is
the option A) 748,917
Hi there!
PART A:
The system of equations we would use would be:
x + y = 22 (amount of items)
3x + 1y = 30 (cost)
Variables:
x = the amount of strawberry wafers bought at the price of $3
y = the amount of chocolate wafers bought at the price of $1
PART B:
To solve, we'll use substitution because we can easily isolate a variable using the first equation.
Work:
x + y = 22 (first equation)
y = 22 - x (isolating a variable)
3x + 1y = 30 (second equation)
3x + (22 - x) = 30 (substituting into the second equation)
2x + 22 = 30 (simplifying)
2x = 8 (subtracting)
x = 4 strawberry wafers
4 + y = 22 (substituting x into the first equation to solve for y)
y = 18 chocolate wafers
ANSWER:
They bought 4 strawberry wafers and 18 chocolate wafers.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Absolute value of x minus 6 is less than y
one way is to jsut make all the x's positive, then subtract them from 6 and see if they are less
sorry for confusing, just read below
(-5,1)
1>|-5|-6
1>5-6
1>-1
true
(-1,-5)
-5>|-1|-6
-5>1-6
-5>-5
false
(5,-1)
-1>|5|-6
-1>-1
false
answer is (-5,1)
Hey there!
To solve for the solutions of your inequality, divide both sides of your inequality by -3 in order to isolate the value of x:
-3x≥36
÷-3 ÷-3
x≤12
**Note: in inequalities, if you ever divide or multiply a number that is negative, you must flip the inequality sign. In this case, because you have divided -3 from both sides, you must flip the inequality sign from ≥ to ≤.
Therefore, your solutions to your inequality would be x≤12.
Hope this helps, and have a nice day! :)
Answer:
15 meters
Step-by-step explanation:
The volume of a cylinder is:
pi is a constant, so there are only 3 variables in this equation. 2 of those are given, so all you need to do is plug in the given values and solve for h:
The height of this cylinder is 15 meters.