Answer:
The fraction of wood used for horizontal support is
.
Step-by-step explanation:
Assume that the total piece of wood is of length 1.
It is provided that Talia used
of the piece of wood for the base of he project.
She use
of the piece of wood for the for the vertical support.
The remaining wood she used for horizontal support.
The amount of wood used for horizontal support can be computed by the subtracting the amount of wood used for base of the project and vertical support form 1.
Compute the amount of wood used for horizontal support as follows:
![Horizontal\ support=1-Base\ of\ project-Vertical\ support\\= 1 - \frac{1}{3}-\frac{1}{4}\\ =\frac{12-4-3}{12} \\=\frac{5}{12}](https://tex.z-dn.net/?f=Horizontal%5C%20support%3D1-Base%5C%20of%5C%20project-Vertical%5C%20support%5C%5C%3D%201%20-%20%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B1%7D%7B4%7D%5C%5C%20%20%3D%5Cfrac%7B12-4-3%7D%7B12%7D%20%5C%5C%3D%5Cfrac%7B5%7D%7B12%7D)
Thus, the fraction of wood used for horizontal support is
.
To solve this problem we can make a proportion.
6 5
-- = ---
10 x
to solve this proportion we can cross multiply and divide.
5 times 10 is 50. divided by 6 is 8.3
it will take her 8.3 minutes to run 5 laps
Answer:
131.3 miles
Step-by-step explanation:
The two cars are moving from different directions. The total distance between the two cars = 118 miles + 256 miles = 374 miles.
Let us assume that the two cars meet at point O, let the distance between car c and O be d₁, the distance between car d and point O be d₂, hence:
d₁ + d₂ = 374 miles (1)
Let speed of car d be x mph, therefore speed of car c = 2x mph (twice of car d). If it take the cars t hours to meet at the same point, hence
For car c:
2x = d₁/t
t = d₁ / 2x
For car d;
x = d₂/t
t = d₂/ x
Since it takes both cars the same time to meet at the same point, therefore:
d₁/2x = d₂ / x
d₁ = 2d₂
d₁ - 2d₂ = 0 (2)
Solving equation 1 and 2 simultaneously gives d₁ = 249.3 miles, d₂ = 124.7 miles
Therefore the distance from point of meet to Boston = 249.3 - 118 = 131.3 miles
Answer: $19.60
Step-by-step explanation:
24.50 x 20% or (.20)= 4.90
24.50-4.90=19.60
$19.60 is the answer
The number of days Ashley ate Mexican food while on vacation is 20 days.
<h3>How many days did Ashley eat mexican food?</h3>
The first step is to determine the fraction of the number of days Ashley atae Mexican food. In order to do this, divide 4 by 7
4/7.
The second step is to multiply 4/7 by 35
4/7 x 35= 20 days
To learn more about multiplication, please check: brainly.com/question/3385014