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Anika [276]
3 years ago
15

Write an expression equivalent to 8(3/4x-1/4)-6(12-x) using the fewest possible terms.

Mathematics
1 answer:
Harrizon [31]3 years ago
3 0
Use distributive property: (24/4x-8/4)-(72-6x)
Simplify: 6x-2-72+6x
Simplify: 12x-74

12x-74
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Step-by-step explanation:

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3 years ago
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3. A kite is aloft at the end of a 1500 foot string. The string make an angle of 43° with the
sineoko [7]

Answer:

h= 1500\,*\,sin(43^o)

Step-by-step explanation:

Notice that there is a right angle triangle formed with sides as follows:

hypotenuse is the actual 1500 ft string. The acute angle 43 degrees is opposite to the segment that represents the height of the kite from the ground. Therefore, the trigonometric ratio that we can use to find that opposite side to the given angle, is the sine function as shown below:

sin(43^o) = \frac{opposite}{hypotenuse} \\sin(43^o) = \frac{opposite}{1500}\\opposite = 1500\,*\,sin(43^o)\\h= 1500\,*\,sin(43^o)

8 0
3 years ago
Paul bought a student discount card for the bus. The card allows him to buy daily bus passes for $1.50.
Marta_Voda [28]

Answer:

$9

Step-by-step explanation:

If you do 13x1.50= 19.5

28.50 - 19.5 = 9

7 0
3 years ago
What is the perimeter of Triangle XYZ?
Svet_ta [14]

Answer:

36

Step-by-step explanation:

From the diagram, the  following is true;

AY = YB = 7

BZ = ZC = 6

XC = XA = 5

perimeter of the triangle is the sum of all the sides

Hence ;

Perimeter = AY+YB+BZ+ZC+XC+XA

Perimeter of the triangle = 7+7+6+6+5+5

Perimeter of the triangle = 36

hence the perimeter of the triangle is 36

7 0
3 years ago
10. What is the value of the function f(x) = 7x when x = 0.75 ?
melomori [17]

Answer:

7(0.75) = 5.25

f = 7

Step-by-step explanation:

7 0
2 years ago
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