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3 years ago

Solve each of the following equations.

Mathematics

2 answers:

tamaranim1 [39]3 years ago

6 0

A. -13
B. -45
C. 20
D. 84
E. 4
F. -4
G. -7
H. 48

stepladder [879]3 years ago

5 0

Answer with Step-by-step explanation:

a. 5x = –65

Dividing both sides by 5, we get

x= -13

b. 40 + x = –5

subtracting 40 on both sides, we get

x= -45

c. 120 = 6x

dividing by 6 on both sides, we get

x= 20

d. 6 = z ÷ 14

Multiplying both sides by 14,we get

z= 84

e. 11y + 20 = 64

11y= 44

y= 4

f. 6x + 20 = –4

6x= -24

x= -4

g. 3y – 11 = –32

3y= -21

y= -7

h. x ÷ 16 = 3

Multiplying both sides by 16,we get

x= 48

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TV studio has brought in 9 boy kittens and 6 girl kittens for a cat food commercial. The director is going to choose 9 of these

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Answer:

probability = 0.2517

Step-by-step explanation:

given data

boy kittens = 9

girl kittens = 6

choose kittens at random = 9

solution

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first we get here total no of probability that is

n(s) = 15 C 9

n(s) = $\frac{15!}{9!(15-9)!}$

n(s) =5005

and

total way to chose 5 boy kittens is = 9 C 3

n(3) = $\frac{9!}{3!(9-3)!}$

n(3) = 84

and

total way to chose 4 girl kittens is = 6 C 4

n(4) = $\frac{6!}{4!(6-4)!}$

n(4) = 15

total way to chose 5 boy kittens and 4 girl kittens is

total way = 84 ×15 = 1260

so probability that the director chooses 5 boy kittens and 4 girl kittens is

probability = $\frac{1260}{5005}$

probability = 0.2517

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3 years ago

-2(x+3)<20 <br> Show work and write solution set

Digiron [165]

Answer:

x > - 13

Step-by-step explanation:

Given

- 2(x + 3) < 20 ← distribute parenthesis on left side

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You have a total of 21 coins, all nickles and dimes. The total value is $1.70 Which of the following is the system of linear equ

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You need one equation for the physical nickels and dimes, which total to 21:

n+d=21

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3 years ago

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Minchanka [31]

Using the concept of population density, it is found that Romania has the greatest and the U.S has the lowest population density.

<h3>What is population density?</h3>

It is given by the <u>number of habitants divided by the area</u>.

Considering the data given in the table, the density for the U.S. is given by:

dU = 272,648,000/ 9,364,520 = 22.115 hab/km².

For Romania, it is given by:

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For Ghana, it is given by:

dG = 18,339,000/237,533 = 77.21 ham/km².

Hence, Romania has the greatest and the U.S has the lowest population density.

More can be learned about population density at brainly.com/question/26148357

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1 year ago