Answer:
The company sold 100 widgets and 250 gizmos.
Step-by-step explanation:
Let 
be the number of widgets sold and 
be the number of gizmos sold.
We are told that the company sold 350 items. We can represent this information in an equation as:
We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.
We can represent this information in an equation as:
From equation (1), we will get:
Substitute this value in equation (2):
Therefore, the company sold 100 widgets.
Substitute in equation (1):
Therefore, the company sold 250 gizmos.
Answer:
51,51 and 78
Step-by-step explanation:
3x+9=4x-5
3x=4x-14
-x=-14
x=14
9514 1404 393
Answer:
(b) 15.32
Step-by-step explanation:
You can use your triangle sense to answer this.
The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.
If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.
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The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(50°) = x/20
x = 20×sin(50°) . . . . multiply by 20 to find x
x ≈ 15.32 . . . . . . . . . use your calculator to evaluate
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The attachment is intended to show how the triangle side lengths change with angle.
Answer:
Rotation
Step-by-step explanation:
Answer: 9 years
Step-by-step explanation:
Let the present age of Ashley be x.
Then the present age of Alfonso =x+8
Five years ago,
Ashley's age = x-5
Alfonso's age = x+8-5 = x+3
According to the question,
Hence, the present age of Ashley =9 years
