Answer:
185 miles
Step-by-step explanation:
We are given that
Both Kyle and Tyler traveled total distance to the beach=425 miles
Kyle traveled distance to the beach=240 miles.
We have to find the distance traveled by Tyler.
To find the distance traveled by Tyler we will subtract distance traveled by Kyle form total distance traveled by together Kyle and Tyler.
Let x be the distance traveled by Tyler.
According to question
miles
Hence, Tyler travels distance to the beach=185 miles
Answer: a). 136 degree. b). A kite
Explanation:
360 = POR + OPT + ORT + 44
OPT = ORT = 90 (line TP and TR tangent to the circle)
360 = POR + 90 + 90 + 44
POR = 360 - 224
POR = 136
B). OPTR is a kite because OP = OR and TP = TR
Definition of a kite:
A quadrilateral whose 4 sides can be grouped into two pairs of equal sides that are adjacent to each other.
Answer:
17 adult shirts were sold
Step-by-step explanation:
x = adult shirts and y = children shirts
x + y = 40......adult shirts + child shirts = 40 total shirts
17x + 13y = 588...$ 17 for each adult shirt (x) + $ 13 for each child shirt (y) = $ 588
these are the equations we will be using.
now lets rearrange the first one....x + y = 40......x = 40 - y.....now sub 40 - y in for x back into the second equation
17x + 13y = 588
17(40 - y) + 13y = 588
680 - 17y + 13y = 588
-17y + 13y = 588 - 680
-4y = - 92
y = -92/-4
y = 23 <=== so there were 23 child shirts sold
x + y = 40
x + 23 = 40
x = 40 - 23
x = 17 <===== and 17 adult shirts sold
check...
17x + 13y = 588
17(17) + 13(23) = 588
289 + 299 = 588
588 = 588 (correct)
The grouping has changed in the equation.
3(mn) = (3m)n
This is the associative property of multiplication.
