Answer:
Number of Weeks - { 1, $120} {4, $480} {8, $960}
Step-by-step explanation:
First divide $1,800 by 15, which gives you 120. for for every week you add on $120. $120 times 4 gives us $480. 960 divided by 120 gives you 8 weeks. (i hope this helps :) )
Answer:
x = 9, y = 4 and z = 6.67
Step-by-step explanation:
Since both the polygons are similar, by the property of similarity corresponding sides of the polygons will be proportional.
Therefore,
x =
x = 9
Similarly,
z =
z = = 6.67
And
y =
y = 4
Therefore, x = 9, y = 4 and z = 6.67 will be the values.
Answer:
see below
Step-by-step explanation:
a)5a−6b+7c from 13a−4b+8c
13a−4b+8c -(5a−6b+7c)
Distribute the minus sign
13a−4b+8c -5a+6b-7c
Combine like terms
8a +2b +c
b)2x²−3xy+4y² from 3x²−5xy−6y²
3x²−5xy−6y² - (2x²−3xy+4y²)
Distribute the minus sign
3x²−5xy−6y² - 2x²+3xy-4y²
Combine like terms
x²−2xy−10y²
c)x²+4xy−3y² from 2x²−5xy+y²
2x²−5xy+y² - (x²+4xy−3y²)
Distribute the minus sign
2x²−5xy+y² - x²-4xy+3y²
Combine like terms
x²−9xy+4y²
d)4x³−6x²+8x−9 from 7x³−16x+18
7x³−16x+18 - (4x³−6x²+8x−9)
Distribute the minus sign
7x³−16x+18 - 4x³+6x²-8x+9
Combine like terms
3x³+6x²−24x+27
Answer:
The car travelled 73 miles
The boat travelled 53 miles
The car arrived 17.7 minutes before the boat
Step-by-step explanation:
The total distance the car travelled from Point A to Point B = 28+45 = 73 miles
The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.
Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes
Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.
The time taken by the car is the shortest, therefore it arrives first before the boat.
(◔‿◔)