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3 years ago

Determine if each equation is true or false.

Mathematics

1 answer:

hammer [34]3 years ago

6 0

Answer:

F,T,F,T

Step-by-step explanation:

12 does not equal -12

1=1

-9 does not equal -13

-31=-31

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64 % of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?

Dafna11 [192]

16/25% of the animals in the shelter are dog
Hope I helped you:)

5 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

PLEASE HELP!!!!!!!!!!!!!!!! What is the value of x when -8x - (8x) = -48? A) -3 B) -1 C) 0 D) 3

rjkz [21]

The value of this is -1 so the answer is B.

HOPE THIS HELPS!

HAVE A GR8 DAY;-)

7 0

3 years ago

The population of the town is 2500 and is decreasing at a rate of 3% per year. determine the population after 11 years

Debora [2.8K]

Answer:

$\huge \boxed{ \boxed{1675}}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

percent
percentage words problem
PEMDAS

<h3>given:</h3>

population:2500
decreasing rate:3%

the population after 11 years

<h3>let's solve:</h3>

according to the question

population decreases in 1 year

$2500 \times 3\% \\ 2500 \times \frac{3}{100} \\ 25 \times 3 \\ 75$

population will decrease in 11 years

75×11
825

so the population of the town after 11 years will be

2500-825

4 0

3 years ago

PLS HELP THANK UUU!!!

Svetach [21]

Answer:

47.45754235

31.46697634

Hey do you need to show your work for these? I found an answer key

Step-by-step explanation:

We need to use law of cosines

c²=a²+b²-2abcos(C)

let x= angle xzy

plugging in what we have the equation looks like

17²=22²+20²-2*22*20*cos(x)

289=484+400-880cos(x)

.676136364=cos(x)

x=47.45754235

b.)

The smallest angle should be opposite to the smallest side

Using the law of cosines again we get

9²=13²+17²-2*13*17*cos(x)

81=458-442cos(x)

.852941176=cos(x)

x=31.46697634

6 0

3 years ago