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3 years ago

The perimeter of an equilateral triangle is 18p - 24. Write an expression to represent the length of each side.

2 answers:

8 0

Hello there.

Question: The perimeter of an equilateral triangle is 18p - 24. Write an expression to represent the length of each side.

Answer: It would be 18p - 24 / 3.
Therefore it would be 6p - 8.

Hope This Helps You!
Good Luck Studying ^-^

almond37 [142]3 years ago

5 0

6p
because 24 minus 18 = 6

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The diagonal of rectangle ABCD measures 2 inches in

ryzh [129]

Answer:

B. √3

Step-by-step explanation:

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7 0

3 years ago

What are the first and second steps performed in solving the inequality 2(4w + 8) – 2w + 42 > 78? Name the property used.

Phoenix [80]

Hello :
2(4w + 8) – 2w + 42 > 78
8w+16-2w+42 > 78......(distributivity × for + )
6w > 20
w > 20/6

6 0

3 years ago

Keegan is priting and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total p

Damm [24]

Complete question is;

Keegan is printing and selling his original design on t-shirts. He has concluded that for x shirts, in thousands sold his total profits will be p(x) = -x³ + 4x² + x dollars, in thousands will be earned. How many t-shirts (rounded to the nearest whole number) should he print in order to make maximum profits? What will his profits rounded to the nearest whole dollar be if he prints that number of shirts?

Answer:

Number of t-shirts to make maximum profit = 2790 shirts

Maximum profit = $12,209

Step-by-step explanation:

From the question, we are given that the profit function is;

p(x) = -x³ + 4x² + x

For the maximum value of the profit function,

(dp/dx) = 0 and (d²p/dx²) < 0

Since, p(x) = -x³ + 4x² + x

Then,

(dp/dx) = -3x² + 8x + 1

at maximum point (dp/dx) = 0, thus;

-3x² + 8x + 1 = 0

Solving this using quadratic formula, the roots are;

x = -0.12 or 2.79

Also, (d²p/dx²) = -6x + 8

Now, let's put the roots of x into -6x + 8 and check for maximum value conditon;

at x = -0.12

(d²p/dx²) = -6(0.12) + 8 = 7.28 > 0

At x = 2.79

(d²p/dx²) = -6(2.79) + 8 = -8.74 < 0

Maximum has to be d²p/dx² < 0

So, the one that meets the condition is -8.74 < 0 at x = 2.79

Thus, the maximum of the profit function exists when the number of shirts, x = 2.79 (in thousands) = 2790

Now, the maximum profits that corresponds to this number of t-shirts of 2.79(in thousands) is obtained by putting 2.79 for x in the profit function;

So,

p(2.79) = -(2.79)³ + 4(2.79²) + 2.79

p(x) = -21.7176 + 31.1364 + 2.79

p(x) = 12.2088 (in thousand dollars) ≈ $12,209

6 0

2 years ago

Solve for the variable

krek1111 [17]

Answer:

G = 2/3

Step-by-step explanation:

-13G + 10 = 2(-5G + 4) Distribute the 2 to (-5G + 4)

-13G + 10 = -10G + 8

+13G +13G Add 13G to both sides

10 = 3G + 8

-8 -8 Subtract 8 from both sides

2 = 3G Divide both sides by 3

2/3 = G

If this answer is correct, please make me Brainliest!

5 0

3 years ago

A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 9% vinegar, and the second brand co

pishuonlain [190]

Let the amount of the first brand be x, and let the amount of the second brand be y.
0.09x + 0.14y = 240 * 0.13 .................(1)
x + y = 240 ..............(2)
y = 240 - x .......................(3)
Plugging the value for y from equation (3) into equation (1), we get:
$0.09x+0.14(240-x)=240\times0.13$ ...............(4)
Equation (4) simplifies to:
-0.05x = -2.4
giving the value for the required amount of 9% vinegar as 48 ml and the required amount of 14% vinegar as 240 - 48 = 192 ml.

7 0

3 years ago