Answer:
n=2
Step-by-step explanation:
4(5n-7)=10+2
1) First, distribute (multiply out 4)
20n-28=10+2
2) Combine like terms (add 10 and 2)
20n-28=12
3) Isolate the variable (Add 28 to 12)
20n=40
4) Isolate the variable (Divide by 20)
n=2
Answer:
He will have read 495 minutes
Step-by-step explanation:
10 percent of 450 is 45, add that to 450 and you get 495
Answer:
3 cm
Step-by-step explanation:
When we enlarge or shrink an object, we perform a dilation. A dilation preserves the relationship between sides and the exact angle measure. This means the original and the enlargement are proportional and any missing lengths can be found through a proportion.
A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare height over length of the original rectangle to an equal ratio of height to length of the enlargement. Since we do not know height of the enlargement, we will use a variable to write:
I can now cross-multiply by multiplying numerator and denominator from each ratio.
I now solve for h by dividing by 9.
The new height is 3 cm.
9x + 5 = 68
9x = 63
x = 7
Cole put seven books on each shelf.
Answer:
The length is 26 feet and the width is 23 feet
Step-by-step explanation:
Let l represent the length of the rectangle.
The width can be represented by l - 3, since it is 3 feet less than the length
Set up an equation:
l + l + (l - 3) + (l - 3) = 98
Add like terms and solve for l:
l + l + (l - 3) + (l - 3) = 98
4l - 6 = 98
4l = 104
l = 26
So, the length is 26 feet.
Since the width is l - 3, we can plug this in for l to find the width:
l - 3
26 - 3
= 23
So, the length is 26 feet and the width is 23 feet