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2 years ago

Which statement best describes the equation y = 3 - 4x?

1 answer:

8 0

The correct answer is C. A linear equation is written in y=mx+b, which this equation can be. y=3-4x is the same as y=-4x+3, which is a linear function.

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What is another way to write 0.7?

SVEN [57.7K]

7/10. Because 0.7 equals 70% . As a fraction it would be 70/100. Simplify, and you get 7/10.

8 0

3 years ago

Out of 18 people in a room, 2 have red hair. What is the probability that a person picked at random from the room does NOT have

Mariana [72]

Answer :

Total number of people in the room = 18

Number of people with red hair = 2

Number of people not with red hair = 18 - 2 = 16

Probability of picking a person who doesn't have red hair = $\sf\dfrac{Number\:of\:favourable\:outcomes}{Total\:outcomes}$

Probability = 16/18

Reduce the fraction with 2

Probability = 8/9

5 0

2 years ago

Read 2 more answers

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

2 years ago

HELP ME (How many cubes with side length 1/2 cm does it take to fill the prism

Natalija [7]

answer:

step-by-step explanation:

for this you would find the volume and then divide by 1/2

v = l x w x h

v = (1)(2)(3/2)

v = 3

now, divide

3 ÷ 1/2 = 6

therefore, it will take 6 half cubes to fill up the container

8 0

3 years ago

find the surface areas of the larger cone and the smaller cone in terms of pi. compare the surface areas using a percent. (the m

serious [3.7K]

ANSWER :

Surface area of larger cone : 24π units^2

Surface area of smaller cone : 6π units^2

The surface area of the smaller cone is 25% of that of the larger cone.

EXPLANATION :

From the given problem,

AB = 3 is the radius of the larger cone and the slanted height is BC = 5

DE = 1.5 is the radius of the smaller cone and the slanted height is EC = 2.5

Recall the surface area of the cone :

$A=\pi r^2+\pi rL$

where r = radius and L = slanted height.

For the larger cone, r = 3 and L = 5

$\begin{gathered} A=\pi(3)^2+\pi(3)(5) \\ A=24\pi \end{gathered}$

For the smaller cone, r = 1.5 and L = 2.5

$\begin{gathered} A=\pi(1.5)^2+\pi(1.5)(2.5) \\ A=6\pi \end{gathered}$

Comparing the surface areas :

The area of the smaller cone compared to the larger cone is :

$\begin{gathered} \frac{smaller}{larger}\times100=\frac{6\pi}{24\pi}\times100 \\ \\ =25\% \end{gathered}$

3 0

1 year ago