The total balance in Kimmy account in December is $468.98
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
In June, Kimmys savings account has a balance of $76.23.
And, By September, her balance is 5 times as much as her June balance.
Between September and December, Kimmy deposits a total of $87.83 into her account.
Now,
Since, In June, Kimmys savings account has a balance of $76.23.
And, By September, her balance is 5 times as much as her June balance.
So, The account balance in September = 5 x $76.23
= $381.15
And, Between September and December, Kimmy deposits a total of $87.83 into her account.
So, The account balance in December = $381.15 + $87.83
= $468.98
Thus, The total balance in Kimmy account in December is $468.98
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The correct answer is:
$468.98.
Explanation:
The account balance in June is 76.23. Since the value in September is 5 times that, the September balance is 5(76.23) = 381.15.
She deposits 87.83 between September and December; this makes the total 381.15+87.83 = $468.98.
The algebraic expression for the sum of two consecutive even integers, where the first integer is x, is x+(x+2). This simplifies to 2x+2.
To express the sum of two consecutive even integers algebraically, where the first integer is x, it's important to understand that consecutive even integers increase by 2. Therefore, if x is your first even integer, the next consecutive even integer would be x+2.
To find their sum, you would simply add the two together, as follows: x+(x+2).
To simplify, combine like terms. The two 'x' terms add together to make '2x', and you're left with the '+2'. So, the simplified expression for the sum of two consecutive even integers where the first is x is 2x+2.
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B. 2⁄3 > 3⁄4
C. 2⁄3 < 3⁄4
D. 2⁄3 = 3⁄4
We are given fractions 2⁄3 and 3⁄4.
We need to compare them.
In order to compare them, we need to make the denominators same by finding LCD of common denominator.
Common denominator of 3 and 4 is 12.
So, we need to make both denominator as 12.
Multiplying 2/3 by 4 in top and bottom, we get
Multiplying 3/4 by 3 in top and bottom, we get
Now, we can compare the numerators.
8/12 is less than 9/12.
Or 2/3 < 3/4.
Answer:
D = 49/40
Step-by-step explanation:
Solve for D:
D - 3/5 = 5/8
Put each term in D - 3/5 over the common denominator 5: D - 3/5 = (5 D)/5 - 3/5:
(5 D)/5 - 3/5 = 5/8
(5 D)/5 - 3/5 = (5 D - 3)/5:
(5 D - 3)/5 = 5/8
Multiply both sides of (5 D - 3)/5 = 5/8 by 5:
(5 (5 D - 3))/5 = 5×5/8
5×5/8 = (5×5)/8:
(5 (5 D - 3))/5 = (5×5)/8
(5 (5 D - 3))/5 = 5/5×(5 D - 3) = 5 D - 3:
5 D - 3 = (5×5)/8
5×5 = 25:
5 D - 3 = 25/8
Add 3 to both sides:
5 D + (3 - 3) = 25/8 + 3
3 - 3 = 0:
5 D = 25/8 + 3
Put 25/8 + 3 over the common denominator 8. 25/8 + 3 = 25/8 + (8×3)/8:
5 D = 25/8 + (8×3)/8
8×3 = 24:
5 D = 25/8 + 24/8
25/8 + 24/8 = (25 + 24)/8:
5 D = (25 + 24)/8
25 + 24 = 49:
5 D = 49/8
Divide both sides by 5:
D = (49/5)/8
8×5 = 40:
Answer: D = 49/40
A.
parallelogram
B.
rectangle
C.
trapezoid
D.
rhombus
A) It is a parallelogram