Answer:
The quotient is 25.0295566502.
Answer:
<h2>8(4 + 7)</h2>
Step-by-step explanation:
56 = 2 · 2 · 2 · 7
32 = 2 · 2 · 2 · 2 · 2
GCF(56, 32) = 2 · 2 · 2 = 8
The distributive property: <em>a(b + c) = ab + ac</em>
56 + 32 = 8 · 7 + 8 · 4 = 8 · (7 + 4)
Question
Cable company A charges $45 a month for cable plus a $18 installation fee. Cable B charges $39 a month for cable plus a $30 fee for installation. Which inequality can be used to find out when the monthly cost for Cable company A is less than Cable company B?
a)39x+30<45x+18
b) 45x+18>39x+30
c) 45x+18<39x+30
d)39x+18<45x+30
Answer:
c) 45x+18<39x+30
Step-by-step explanation:
Step 1
We have to find the Algebraic expressions for the cable companies
Cable company A charges $45 a month for cable plus a $18 installation fee.
Let the number of months be represented as x
Hence, this is represented as:
$45 × x + $18
= 45x + 18
Cable B charges $39 a month for cable plus a $30 fee for installation.
Let the number of months be represented as x
Hence, this is represented as:
$39 × x + $30
= 39x + 30
The inequality that can be used to find out when the monthly cost for Cable company A is less than Cable company B?
= Cable company A < Cable company B
= 45x + 18 < 39x + 30
Therefore option c is correct
Answer:
The length of line segment AB = 3.4 cm.
Step-by-step explanation:
Given:
The area of the regular octagon is approximately = 54 cm²
A regular octagon has an apothem with length = 4 cm
AB = side of the octagon
To Find:
AB = side of the octagon = ?
Solution:
A regular octagon has an Eight equal Side
We Know that,
substituting the given values in equation we get
Now,
Perimeter = 8 × Side
∴ Perimeter = 8 × AB
∴ 27 = 8 × AB
∴ 
After rounded to nearest 10th we get
AB =3.4 cm
The length of line segment AB = 3.4 cm.
Answer: 19nickels and 7dimes.
Ps i really don’t know where the 50.05 came from if it is suppose to be there then I really don’t know how to solve this.
Step-by-step explanation:
Ok so if you know that there are 19nickels, let n=number of nickels.
The number of total coins subtracted by number of nickels will give you number of dimes.
165-number of nickels=number of dimes
Value of dimes=10(number of dimes) or total value of dimes/individual value (10cent)
Then you can substitute total as $1.65 and get the value of nickels by multiplying by 5cent ( my teacher taught me using whole numbers to make it easier so I turned $1.65 to 165 cent). Since the value of the dimes is the value of nickels subtracted from the total, I can subtract 95 from 165 and divide the difference by 10, to get the number of dimes.
5(n)=5(19)=95
(165-95)/10=number of dimes
70/10=7dimes
You can check by multiplying 7x10 and 5x15 again and adding them together to see if they equal 165 cent.
