The length of a rectangle is 5cm longer than its width.If the perimeter of the rectangle is 66cm, find its length and width.
Answers
Answer:
width is 14, length is 19
Step-by-step explanation:
let w represent the width of the rectangle.
"The length of a rectangle is 5 cm longer than its width."
You can take from this that you must add 5 to the width to get the length.
so, you can now write that L=w+5 .
The formula for perimeter is 2w+2L.
You can plug the values in.
2w+2(w+5) is the expression you get.
use distributive property on the 2(w+5) to get 2w+ 2w+10 . Add same terms together and get 4w+10, which represents the perimeter.
"..The perimeter of the rectangle is 66 cm."
Set the simplified expression 4w+10 to 66 to get
4w+10=66
Subtract 10 from both sides and get
4w=56
divide by four for both sides and get w=14 .
We are not done yet!
To find the length, plug the width back into our formula L=w+5 and get L=14+5. The length is 19.
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Answers
a=number of tickets sold after
cost of a ticket=number of tickets times cost per ticket
beforecost=39.95b
aftercost=54.95a
total cost=925000
39.95b+54.95a=925000
total number tickets=20000
b+a=20000
we have
39.95b+54.95a=925000
b+a=20000
multiply second equation by -39.95 and add to first equatin
39.95b+54.95a=925000
-39.95b-39.95a=-799000 +
0b+15a=126000
15a=126000
divide bot sides by 15
a=8400
sub back
b+a=20000
b+8400=20000
minus 8400 both sides
b=11600
11,600 tickets sold before
8400 tickets sold after
Answers
Answer:
2 more quarts of oil is needed to fill
the engine to capacity
Step-by-step explanation:
Here, we want to calculate how many more quarts of oil is required to fill the engine to capacity
We have to convert the capacity to quarts
Mathematically, 1 gallon = 4 quarts
So 1 1/4 gallon will be 5/4 * 4 = 5 quarts
So the number of quarts needed to fill the engine to capacity will be 5 quarts - 3 quarts = 2 quarts
Answers
Answer:
Step-by-step explanation:
Given the functions:
and
We have to find the
Substitute the function s(x) we have;
⇒
Replace x with x-7 in t(x) we have;
⇒
⇒
Therefore, the expression which is equivalent to is:
s(x) = x - 7
t(x - 7) = 4(x-7)^2 - (x - 7) + 3
Answers
Answer: Slope is 2
Step-by-step explanation:
9-5.
------- 4/2 --- 2
4-2
Answers
a = 1, b = -6, c = 9
Discriminant = b² - 4ac = (-6)² - 4*1*9 = 36 - 36 = 0
Since the Disciminant, D = 0, the roots are real and equal
Answers
Answer:
X+1=3
x = 3 - 1
x = 2
Check:
2 + 1 = 3
x-4=5
x = 5 + 4
x = 9
Check:
9 - 4 = 5
Answer:
1)x=2
2)x=9
Step-by-step explanation:
x+1=3
=>x=3-1
therefore
x=2
second question
x-4=5
=>x=5+4
therefore
x=9