Answer:
There is an error in the application of the DMAS rule, The answer as per the DMAS rule is 75.
Step-by-step explanation:
There is an error in the implication of the DMAS rule of Mathematics.
DMAS rule determines the arrangement of mathematical functions to be performed in an expression where multiple functions are present.
The DMAS Rules describes the following arrangement of the mathematical functions.
1st Division
2nd Multiplication
3rd Addition
4th Subtraction
Applying the above rule the solution is as follow
62 + 3 + 5 x 2
First, we need to solve the Multiplication because there is no division
62 + 3 + 10
Now perform the addition function
65 + 10
75
Answer:
The consecutive negative integers are -3, -4 and -5.
Step-by-step explanation:
Let the three consecutive negative integers be k, (k-1) and (k -2)
Now, according to the question:
6(Largest Integer) = 2( Sum of smaller two Integers)
or, 6 (k) = 2( (k-1) + (k-2))
⇒ 6k = 2(2k -3)
or, 6k = 4k - 6
or, 6k - 4k = -6
or, 2k = -6 ⇒ k = -3
Hence, the largest negative integer = -3
The next two consecutive negative integer are (k-1) and (k-2) = (-3-1) and (-3-2)
= -4 and -5
Hence, the consecutive negative integers are -3, -4 and -5.
The answer to your question is x = 8
Answer:
Step-by-step explanation:
Left
When a square = a linear, always expand the squared expression.
x^2 - 2x + 1 = 3x - 5 Subtract 3x from both sides
x^2 - 2x - 3x + 1 = -5
x^2 - 5x +1 = - 5 Add 5 to both sides
x^2 - 5x + 1 + 5 = -5 + 5
x^2 - 5x + 6 = 0
This factors
(x - 2)(x - 3)
So one solution is x = 2 and the other is x = 3
Second from the Left
i = sqrt(-1)
i^2 = - 1
i^4 = (i^2)(i^2)
i^4 = - 1 * -1
i^4 = 1
16(i^4) - 8(i^2) + 4
16(1) - 8(-1) + 4
16 + 8 + 4
28
Second from the Right
This one is rather long. I'll get you the equations, you can solve for a and b. Maybe not as long as I think.
12 = 8a + b
<u>17 = 12a + b Subtract</u>
-5 = - 4a
a = - 5/-4 = 1.25
12 = 8*1.25 + b
12 = 10 + b
b = 12 - 10
b = 2
Now they want a + b
a + b = 1.25 + 2 = 3.25
Right
One of the ways to do this is to take out the common factor. You could also expand the square and remove the brackets of (2x - 2). Both will give you the same answer. I think expansion might be easier for you to understand, but the common factor method is shorter.
(2x - 2)^2 = 4x^2 - 8x + 4
4x^2 - 8x + 4 - 2x + 2
4x^2 - 10x + 6 The problem is factoring since neither of the first two equations work.
(2x - 2)(2x - 3) This is correct.
So the answer is D
Answer:
The bag of chips and the pretzel are 14.
The cookie is 8.
The popcorn is 13.
"?" is 222.
Step-by-step explanation:
We know that the bag of chips and the pretzel are equal to each other so all we have to do to figure them out is to divide 42 by 3, which gets us 14.
So, now we know the bag of chips and the pretzel are both 14.
To figure out what the cookie is, we take 14 away from 30, which gets us 16. Two cookies are 16 which means that one cookie is 8.
To figure out what the popcorn is, we have to take away 16 from 29 since two cookies are 16. 29 minus 16 is 13.
Popcorn therefore is 13.
Two popcorns' is 26.
26 multiplied by 8 is 208.
208 plus 14 is 222.
Hope that made sense and answered your question! :)