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Olin [163]
3 years ago
15

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
Amanda [17]

Answer:

probability = 0.2517

Step-by-step explanation:

given data

boy kittens = 9

girl kittens = 6

choose kittens at random = 9

solution

total kitten are = 9 + 6 = 15

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

so

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

6 0
3 years ago
-2(x+3)&lt;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

- 2x - 6 < 20 ( add 6 to both sides )

- 2x < 26

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

x > - 13

solution set is { x | x > - 13 }

3 0
3 years ago
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
olga nikolaevna [1]
You need one equation for the physical nickels and dimes, which total to 21:

n+d=21

Secondly, you need one equation for the numerical value of those nickels and dimes. We know nickels are worth $0.05 and dime are worth $0.10:

.05n+.1d=1.70
7 0
2 years ago
What is 4/21 simplified (fractions)
Natasha2012 [34]
You cannot simplify the fraction 4/21, because you would have to divide 21 by 4, which would end in a decimal answer, therefore you cannot simplify it.
7 0
3 years ago
Read 2 more answers
Use the chart below to answer the questions: Country Population (1997 estimate) Area (square km) U.S. 272,648,000 9,364,520 Roma
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:

dR = 22,609,000/237,391 = 95.24 hab/km².

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

#SPJ1

5 0
1 year ago
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