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3 years ago

Find the product of 9x(-3x²y-7xz)

Mathematics

1 answer:

kogti [31]3 years ago

4 0

Answer:

$- 27 {x}^{3} y - 63 {x}^{2} z$

Step-by-step explanation:

$9x( - 3 {x}^{2} y - 7xz)$

$= 9x \times ( - 3 {x}^{2} y) + 9x \times ( - 7xz)$

$= - 27 {x}^{3} y - 63 {x}^{2} z$

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The product of two whole numbers is 812 and their sum if 57. What are the two numbers?

pshichka [43]

Answer:

28 and 29

Step-by-step explanation:

28x29=812

28+29=57

6 0

3 years ago

Theo has a cubic container. If the height of the container is 6 meters, what is the volume of the container

sattari [20]

Volume of a cube = l^3, where l is the side length (note that the length, width and height in a cube are equal)
Volume of cube = 6^3 = 216 m^3

8 0

3 years ago

Suppose you work for a large coffee distribution that has a secret coffee blend it sells to local stores. Gazebo blend with Kona

KATRIN_1 [288]

Answer:

12 Pounds

Step-by-step explanation:

The proportion of the secret blend is 90/27. When there is only 40 pounds of gazebo, your proportion looks like this: 40/X. X being pounds of Kona. When you are to simplify 90/27 you're left with 10/3. Cross multiply 10/3 and 40/X to and simply to get 10x = 120, leaving you with 12 as your final answer. Hope this explanation helps.

8 0

3 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

A rectangular gasoline tank can hold 45.0 kg of gasoline when full. what is the depth of the tank if it is 0.450 m wide by 0.900

garri49 [273]

The answer is 0.154 m

Step 1. Calculate the volume of gasoline tank (V) using the known mass (m) and density of gasoline (D).
D = m/V
⇒ V = m/D
D = 719.7 kg/m³
m = 45.0 kg
V = 45.0 kg/719.7 kg/m³ = 0.0625 m³

Step 2. Calculate the depth of the tank (d) using the known volume (V) of gasoline and width (w) and length (l) of the tank:
V = d * w * l
0.0625 = d * 0.900 * 0.450
0.0625 = d * 0.405
d = 0.0625 / 0.405
d = 0.154 m

7 0

3 years ago