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2 years ago

13

How to do this friends ???

1 answer:

jonny [76]2 years ago

5 0

$~~~~~~\dfrac 6{x+1} = \dfrac 5{x-3}\\\\\\\implies 6(x-3) = 5(x+1)~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Cross - Multiply}] \\\\\\\implies 6x - 18 = 5x +5\\\\\\\implies 6x -5x = 5+ 18\\\\\\\implies x = 23$

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↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓<br> No Words <br> Part 1

MissTica

3m + 2n= p solve for n

subtract 3m on both sides
2n = p - 3m

divide both sides by 2
n = p/2 - 3m/2
-----------------------

xy - 5 = k solve for x
add 5 on both sides
xy = k + 5

divide both sides by y
x = k/y - 5/y

3 0

3 years ago

3. In the figure, c || d. What are the measures<br> of 1 and 2

dem82 [27]

Answer:

1: 105 degrees

2: 75 degrees

Step-by-step explanation:

2 is a corresponding angle with 75.

1 is supplementary so x+75 = 180

x=105

5 0

3 years ago

Find the decimal equivalent of ¾ ounce to the thousandths place

GalinKa [24]

0.75

Explanation:

Every 1/4 is 25. If you want to calculate them, then you're going to need 1/4 to find 25. In some other cases, 25, can also be written as another decimal. Such as, 4/100.

100/4 is 25. For example:

Woah! You have 3/4 of a dollar. You're really saving up money fast!

This example means that the person has 75 cents.

For an ounce, that would mean 0.04 pounds.

7 0

2 years ago

Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a

Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

$U(x, y) = x^2y^8$

$MU_x =\frac{\partial U}{\partial x} = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\$

Price of apples, Px=$4

Price of tomatoes, Py=$3

Ratio of their Marginal Utilities

$\frac{MU_x}{MU_y} = \frac{Px}{Py}$

$\frac{y}{4x} = \frac{4}{3}$

$y=\frac{16x}{3}$

Since Natalie’s income is $320

320 = xPx+yPy

$320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33$

Since x=16, Natalie will consume 16 apples.

6 0

3 years ago

Plant A: A graph has time (weeks) on the x-axis, and height (inches) on the y-axis. A line goes through points (0, 3), (1, 4.8),

butalik [34]

Answer:

The correct option is;

No, The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks

Step-by-step explanation:

The parameters given are;

Plant A:

Weeks, Height

0, 3

1, 4.8

2, 6.6

3, 8.4

The rate of change of height, H per week, t, $\left (\dfrac{dH}{dt} \right )$ for plant A per week is therefore;

$\dfrac{dH}{dt} = \dfrac{H_n - H_{(n-1)} }{t_n - t_{(n-1)}} = \dfrac{8.4 - 3 }{3 - 0} = \dfrac{5.4}{3} = 1.8 \ inches/week$

Therefore we have;

H = 1.8 × t + 3

At week 6,

H = 3 + 6×1.8 = 13.8 inches

Plant B

Weeks, Height

2, 7.3

3, 8.7

4, 10.1

The rate of change of height, H per week, t, $\left (\dfrac{dH}{dt} \right )$ for plant B per week is given as follows;

$\dfrac{dH}{dt} = \dfrac{H_n - H_{(n-1)} }{t_n - t_{(n-1)}} = \dfrac{10.1 - 7.3 }{4 - 2} = \dfrac{2.8}{2} = 1.4 \ inches/week$

Therefore we have;

When t = 2, H = 7.3 hence, 7.3 = 2 × 1.4 + H₀

Where:

H₀ = H at t = 0

H₀ = 7.3 - 2 × 1.4 = 4.5

At week 6 we have;

H = 4.5 + 6×1.4 = 12.9 inches

Which indicates that Plant A will be 0.9 inches taller than Plant B at week 6.

The correct option is therefore;

No, The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks.

5 0

3 years ago

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