Answer:
If they are travelling in opposite directions, their total distance is the 135. So add their distances together to get 135
x=Quinn's speed
x+5 = James' speed
they each travel for 5 hours
speed x time = distance
x(5) + (x+5)(5) = 135
Quinn's distance + James' distance = total distance
5x+5x+25=135
10x = 110
x = 11
Quinn travels at 11 mph and James travels at 16 mph
Quinn travels 55 miles (5x11)
and James travels 80 miles (16 x 5)
80 + 55=135
Using proportions, it is found that the coordinates of Alonso's home are given by: (3,6).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Alonso's home is one third of the way from the shelter to Precious Pup Grooming, considering the ratios given, hence:
A - S = 1/3(P - S).
For the x-coordinate, we have that:
x + 1 = 1/3(11 + 1)
x + 1 = 4
x = 3.
For the y-coordinate, we have that:
y - 9 = 1/3(0 - 9)
y - 9 = -3
y = 6.
The coordinates of Alonso's home are given by: (3,6).
More can be learned about proportions at brainly.com/question/24372153
#SPJ1
Answer:
food 1 food 3 food 5
Step-by-step explanation:
Answer:
1) 27/128 ft³
2) 40cm³
Step-by-step explanation:
1) The diagram is a cuboid not a prism.
Volume of the shape = Length × Breadth × Height
Given the following dimension
Length = 3/8 ft
Breadth = 3/4 ft
Height = 3/4 ft
Volume = 3/8 × 3/4 × 3/4
Volume of the shape = 27/128 ft³
2) Volume of a rectangular prism = Base Area × Height
Given base area = 12cm²
Height of the prism = 3 1/3 cm
Volume = 12 × 3 1/3
Volume = 12 × 10/3
Volume = 4 × 10
Volume of the prism = 40cm³
Answer: 186 with a remainder of 5.
Method One:
See attached for my work, I used long divison.
Method Two:
We will use a calculator to find the value, then multiply the value (without the decimals) by the divisor. Lastly, we will subtract. This makes more sense with the work:
8,375 ÷ 45 = 186.11111111
186 * 45 = 8,370
8,375 - 8,370 = 5
