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3 years ago

Solve each of the following inequalities for y.

Mathematics

1 answer:

pogonyaev3 years ago

7 0

Answer:

a. y < 5

b. y < 24

c. y > 3

d. y < 30

Step-by-step explanation:

a. 12y < 60

12y/12 < 60/12

y < 5

b. y/8 < 4

8/1 * y/8 < 4 * 8/1

y < 24

c. 3y > 9

3y/3 > 9/3

y > 3

d. y/5 < 6

5/1 * y/5 < 6*5

y < 30

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2.3+0.02(x+20)-4.8=-9<br><br> Solve for x

Naya [18.7K]

Answer:

$x=-345$

Step-by-step explanation:

$2.3+0.02\left(x+20\right)-4.8=-9$

$\mathrm{Multiply\:both\:sides\:by\:}100$

$2.3\cdot \:100+0.02\left(x+20\right)\cdot \:100-4.8\cdot \:100=-9\cdot \:100$

$230+2\left(x+20\right)-480=-900$

$\mathrm{Subtract\:}230-480\mathrm{\:from\:both\:sides}$

$230+2\left(x+20\right)-480-\left(230-480\right)=-900-\left(230-480\right)$

$2\left(x+20\right)=-650$

$\mathrm{Divide\:both\:sides\:by\:}2$

$\frac{2\left(x+20\right)}{2}=\frac{-650}{2}$

$x+20=-325$

$\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}$

$x+20-20=-325-20$

$\bold{x=-345}$

5 0

3 years ago

How do you solve: Tori needed to take a taxi. The fare for

shepuryov [24]

Answer: The required number of miles rode is 4.6875.

Step-by-step explanation: We are given to solve the following situation for the value of d :

Tori needed to take a taxi. The fare for riding in a taxi is a $3 fixed charge and $0.80 per mile. The fare for a ride of d miles is $6.75.

According to the given information, we have

$3+0.80d=6.75\\\\\Rightarrow 0.80d=6.75-3\\\\\Rightarrow 0.80d=3.75\\\\\Rightarrow d=\dfrac{3.75}{0.80}\\\\\Rightarrow d=4.6875.$

Thus, the required number of miles rode is 4.6875.

6 0

3 years ago

4 - 5/2 * (1/10x) = 1 what is the value of x

Inga [223]

$4 - 5 / 2 * (1/10x) = 1\\$

The first step is to identify the order in which the equation must be solved, by following PEMDAS (you might know it as BEDMAS):

Parenthesis (or Brackets)

Exponents

Multiplication and Division

Addition and Subtraction

My advice would be to add parenthesis, following these rules, if you are not very good at finding them immediately by sight.

So:

$4 - 5 / 2 * (\frac{1}{10x}) = 1\\\\4 - [(5/2)*(\frac{1}{10x})]=1\\\\4-(2.5*\frac{1}{10x})=1\\\\4-\frac{2.5}{10x}-1=0\\3-\frac{x}{4}=0\\\frac{x}{4}=3\\x=3*4\\x=12$

We check our answer:

$x=12\\4 - [(5 / 2) * (1/10)*(x)] = 1\\4 - [(5 / 2) * (\frac{1}{10}) * (12))] = 1\\4 - [2.5 * (\frac{1}{10})*12] = 1\\4 - [(\frac{2.5}{10})*12] = 1\\4 - [(\frac{1}{4})*12] = 1\\4 - 3 = 1\\1=1$