Answer: (i) 4x - 40 = 76
(ii) 29 questions
Step-by-step explanation:
Let the total number of questions be x.
Since he received 4 points for every correct answer and he got 10 answers wrong , this means he lost 40 points , the equation thus become
4x - 40 = 76
To find the value of x , add 40 to both sides
4x = 116
divide through by 4
x = 29
Therefore , there are 29 questions on his math test
Answer:
step 2
and then also in step 3 compensating the error in step 2
Step-by-step explanation:
I think I just answered this for another post.
sin(a - b) = sin(a)cos(b) - cos(a)sin(b)
so, step 1 is correct :
sin(A - 3pi/2) = sin(A)cos(3pi/2) - cos(A)sin(3pi/2)
but step 2 suddenly and incorrectly switched that central "-" to a "+".
yes, sin(3pi/2) = -1, but that is still an explicit factor in step 2. so it was not used to flip the central operation from subtraction to addition, and therefore this change was a mistake.
then, in step 3, another error was made by just ignoring the "-" sign of "-1" and still keeping the central "+" operation. this error compensated for the error in step 2 bringing us back by pure chance to the right result.
Answer:
The length is 11ft.
The width is 8ft.
Step-by-step explanation:
Hello!
Perimeter of a rectangle: 
- P = perimeter
- l = length
- w = width
We know that the length is 5 ft less than twice the width, which can be expressed by the equation: l = 2w - 5. We can plug in 38 for "P".
We can substitute the equation for l, and solve for the width.
<h3>Solve for W</h3>
The width is 8. We can solve for the length by plugging it back into the equation l = 2w - 5
<h3>Solve for L</h3>
- l = 2w - 5
- l = 2(8) - 5
- l = 16 - 5
- l = 11
The length is 11.
The dimensions are 11 ft and 8 ft.
Answer:
C
Step-by-step explanation:
Using the rule of radicals
× 
⇔ 
Simplify 
= 
= 
× 
= 3
Then
4 - 3
= → C
Answer:
14
Step-by-step explanation:
5w - 16
5×6 -16
30 - 16
14
therefor 14 is the answer
