Answer:
a. 10
b. -4
Step-by-step explanation:
For these problems, since we are given the x, we plug it into the expression and solve.
a.
3(4)-2 [multiply]
12-2 [subtract]
10
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b.
5(-2)+6 [multiply]
-10+6 [subtract]
-4
Answer:
3/11
Step-by-step explanation:
Answer:
x=11, y=2
Step-by-step explanation:
We can set 1 equal to x-5y and then solve for x. and y.
x = 5y+1
y = x-1/5
We can use this information and plug back in the values for 3y-x or x-5y.
We can set -3 = 3y-x or 1 = x-5y.
To solve for x using -3 = 3y-x we can swap the values of x and y which would make it -3 = 3(x-1/5)-5(x-1/5)+1.
We can do a bit of algebra which would get us x = 11.
Knowing that y = x-1/5 we can plug in 11 for x. y = 11-1/5.
y=2
x=11, y=2
Answer:
Cost of shoes = $37.4925
Cost of jacket = $92.4533
Tax = $9.81
Total paid = $144.2458
Step-by-step explanation:
Normal price of shoes = $49.99
Discount = 25%
Discounted price:

Normal price of jacket = $137.99
Discount = 33%
Discounted price:

Price of pack of cookies = $4.49
No discount on cookies as per question statement.
Total amount without tax = $37.4925 + $92.4533 + $4.49 = $134.4358
Sales Tax = 7.3% of total amount without tax = 7.3%
$134.4358 = $9.81
Total paid = $134.4358 + $9.81 = <em>$144.2458</em>
The ground, the building and the line of sight between the ground camera and the top of the building form right triangle with hypotenuse equal to 45 feet and angle adjacent to this hypotenuse and ground - 50°. The building is an opposite leg to the given angle, then you should write sine function:
.
The answer to the nearest tenth of a foot is 34.5 feet