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vladimir1956 [14]
2 years ago
13

Fourteen less than three times a number is fifty-two.

Mathematics
1 answer:
Elodia [21]2 years ago
3 0

Answer:

3x −14 = 52

Good luck have a good day! Took me a minute to figure out the question, but here you go!

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George has $49 which he decides to spend on x and y. commodity x costs $5 per unit and commodity y costs $11 per unit. he has th
FromTheMoon [43]

We are given the equations:

<span>5 x + 11 y = 49                    --> eqtn 1</span>

<span>u = 3 x^2 + 6 y^2               --> eqtn 2</span>

 

Rewrite eqtn 1 explicit to y:

11 y = 49 – 5 x

<span>y = (49 – 5x) / 11               --> eqtn 3</span>

 

Substitute eqtn 3 to eqtn 2:

u = 3 x^2 + 6 [(49 – 5x) / 11]^2

u = 3 x^2 + 6 [(2401 – 490 x + 25 x^2) / 121]

u = 3 x^2 + 14406/121 – 2940x/121 + 150x^2/121

u = 4.24 x^2 – 24.3 x + 119.06

Derive then set du/dx = 0 to get the maxima:

du/dx = 8.48 x – 24.3 = 0

solving for x:

8.48 x = 24.3

x = 2.87

 

so y is:

y = (49 – 5x) / 11 = (49 – 5*2.87) / 11

y = 3.15

 

Answer:

<span>George will choose some of each commodity but more y than x.</span>

7 0
3 years ago
PLEASE HELP ME SOLVE THIS, WHOEVER DOES WILL EARN 100 PTS!!!!!!!!!!!!!
Monica [59]

Step-by-step explanation:

(Assuming that this triangle is isosceles)

If this triangle is isosceles, then x° is going to be equal to its twin angle; 40°.

We can solve for z now.

180 = 40 + 40 + z

180 = 80 + z

Subtract 80 from both sides.

100 = z

z = 100°

Now that we know z = 100 degrees, we can begin to solve the expression (3x -20)

The expression sits on a 180° line and the angle z (100°) shares the line with the expression (3x - 20)°

180 = 100 + (3x - 20)

Subtract 100 from both sides.

80 = 3x - 20

Add 20 to both sides to isolate 3x

100 = 3x

Divide by 3 on both sides.

100/3 = 3x/3

33.33... = x

4 0
3 years ago
Read 2 more answers
What is the value of y?
scZoUnD [109]
All angles in triangle inside add up to 180
so

the angles are y, 79,37
therefor
y+79+37=180
solvde for y
y+79+37=180
add
y+116=180
subtract 116 from ot hsides
y=64

angle y=64 degrees
7 0
2 years ago
If the diameter of the semicircle is 1.7 centimeters, what is the circumference of the semicircle?
spin [16.1K]
The formula for circumference is C=2 \pi r or C= \pi d.  We have a diameter for the semicircle, so let's use the diameter formula.  C= \pi (1.7) which is either C=1.7 \pi or C = 5.338 if we multiply pi in as 3.14.  BUT this is only half a circle, so we only have half that distance around the outside.  Therefore, the circumference of half this circle is 2.669 cm.  But we need to add the 24 mm in.  24 mm in centimeters is 2.4 cm.  So 2.669 + 2.4 = 5.069
6 0
2 years ago
This is urgent, please answer!
Alex17521 [72]

1/2 = 0.5

12 & 1/2 = 12 + 1/2 = 12 + 0.5 = 12.5

4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5

Refer to the diagram below. Note how I divided the figure into two rectangles.

The larger red rectangle is 12.5 feet by 10 feet. It has area 12.5*10 = 125 square feet.

The smaller blue rectangle has dimensions 4.5 feet by 5 feet (the 5 is from 15-10 = 5), so it has area 4.5*5 = 22.5 square feet

Now add up those individual areas to get the total area

125+22.5 = 147.5

Then convert that to a mixed number

147.5 = 147 + 0.5 = 147 + 1/2 = 147 & 1/2

<h3>The correct area is 147 & 1/2 feet</h3>

8 0
3 years ago
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