Answer:
<h3>
38, 39 </h3>
Step-by-step explanation:
The difference between two consecutive integers is 1
So if
x - the smaller number
then
x+1 - the larger number
x + x+1 = 77
-1 -1
2x = 76
÷2 ÷2
x = 38
x+1 = 38+1 = 39
<h2>
Answer:</h2>
The area of the remaining board in square feet is:
108 square feet.
<h2>
Step-by-step explanation:</h2>
The remaining area of board=
Area of the whole board-Area of square which is removed.
i.e.
Area of remaining board= Area of square of side length 12 feet-Area of square with side length 6 feet.
We know that the area of square with side length s units is given by: s² square units
Hence, we get:
Area of remaining board= (12)²-(6)²
i.e.
Area of remaining board= 144-36
i.e.
Area of remaining board= 108 square feet.
If h(8)=48 that means that h=6 because 6 multiplied by 8 equals 48.
Answer:
21/2
Step-by-step explanation:
10*2+1/2=21/2
use the formula
a
=
X= # of multiple choice questions
y= # of word problem questions
EQUATION 1:
x + y= 25
EQUATION 2:
3x + 4y= 90
STEP 1:
solve for one variable in equation 1
x + y= 25
subtract y from both sides
x= 25 - y
STEP 2:
substitute x=25-y in equation 2
3x + 4y= 90
3(25-y) + 4y= 90
75 - 3y + 4y= 90
75 + y= 90
subtract 75 from both sides
y= 15 word problems
STEP 3:
substitute y value to find x
x + y= 25
x + 15= 25
x= 10 multiple choice questions
ANSWER: There are 15 word problems and 10 multiple choice questions.
Hope this helps! :)