Here is the set up:
A = area of rectangular garden = 6/7.
Let l = length = 3/5.
Let w = width
A = lw
6/7 = (3/5)w
Solve for w.
Answer:y = 10.5
Step-by-step explanation:
First, assign a variable to each unknown value.
Let:
x = cost of the pepperoni pizza
y = cost of the plain pizza
Next, set up equations based on the word problem. We then have the following equations:
(1) 3x + 2y = 58.50
(2) 2x + 4y = 67
Equation (1) comes from the statement: "Jack paid 58.50 for 3 pepperonies and 2 plain pizzas". Equation (2), on the other hand, translates the statement: "Jill paid 67 for 2 pepperonies and 4 plain pizzas".
To solve for two unknown variables given two independent equations, eliminate one variable first. That is, multiply equation (1) to -2.
-2[3x + 2y = 58.50]
-6x -4y = -117
Then add this to equation (2):
-6x -4y = -117
2x + 4y = 67
-------------------
-4x = -50
x = -50/-4 = 12.5
To solve for y, we use equation (2) and substitute the value of x which has been solved already.
2(12.5) + 4y = 67
y = 10.5
To summarize, they paid $12.50 for the pepperoni pizza while they paid $10.50 for the plain pizza.
The vertical cross-section when the knife slices to the butter parallel to its sides is a rectangle with dimensions of 5 in by 2.5 in or 3 in by 2.5 in.
<h3>What is a
three dimensional figure?</h3>
A three dimensional figure is a polygon with length, width and height. Examples are<em> cone, cylinder, prism, pyramid </em>and so on.
The shape of the butter is rectangular prism. The vertical cross-section when the knife slices to the butter parallel to its sides is a rectangle with dimensions of 5 in by 2.5 in or 3 in by 2.5 in.
Find out more on three dimensional figure at: brainly.com/question/10556378
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Answer:
22.6
Step-by-step explanation:
The cos of any angle is its adjacent over its hypotenuse:
cos 37 = 17.3 / x
We can multiple both sides by x to get x * cos 37 = 17.3 and then we can divide both sides by cos 37 to get x by itself:
x = 17.3 / cos 37
So solving for x, x is equal to about 22.6
She makes 31% of her foul shots. She took 49 foul shots.
The number of foul shots is 31% of 49.
31% of 49 =
= 31% * 49
= 0.31 * 49
= 15.19
Answer: 15.2