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3 years ago

What is the solution of 2/3 a + 6 > 0? *

Mathematics

1 answer:

Sloan [31]3 years ago

8 0

Answer:

a > - 9

Step-by-step explanation:

Given

$\frac{2}{3}$ a + 6 > 0 ( subtract 6 from both sides )

$\frac{2}{3}$ a > - 6

Multiply both sides by 3 to clear the fraction

2a > - 18 ( divide both sides by 2 )

a > - 9

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Please help on question 3

fiasKO [112]

Answer: 36

Step-by-step explanation:

Circumference is $C=d\pi$

Diameter is 2r

Diameter is 14

$\pi$ = 22/7

$C=14(\frac{22}{7} )$

C=44

half the circumference is 22- so the circle part is 22

plus the 14 for the bottom

22+14=36

5 0

3 years ago

Read 2 more answers

There are 200 different pieces of fruit in a barrel. There are 42 apples, 82 oranges, and 76 pears. Which of the following event

vichka [17]

Answer:

The apples

Step-by-step explanation:

8 0

3 years ago

The students in Naomi's class sold calendars for a fund-raiser this year and last year. This year, the selling price of each cal

jolli1 [7]

We'll use the variable x to represent last year's price. First, we have to set up an equation:
$.06x+x=13.25$
We get this equation because $13.25 is 6% MORE than last year's price, meaning we need to add the original price to the increase. Next, we combine like terms and solve for x:
$.06x+x=13.25 \\ 1.06x=13.25 \\ \frac{1.06x}{1.06} = \frac{13.25}{1.06} \\ x= 12.50$

Last year's price was $12.50.

Hope this helps!

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4 years ago

What is the equation, in slope-intercept form, of the line that is perpendicular to the line

Crazy boy [7]

Answer:

y = 3/2x + 1

Step-by-step explanation:

6 0

2 years ago

Find the distance between the points (5,-6), (-3,12)

grigory [225]

Answer:

$\displaystyle d = 2\sqrt{97}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (5, -6)

Point (-3, 12)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(-3-5)^2+(12+6)^2}$
[√Radical] (Parenthesis) Subtract/Add: $\displaystyle d = \sqrt{(-8)^2+(18)^2}$
[√Radical] Evaluate Exponents: $\displaystyle d = \sqrt{64+324}$
[√Radical] Add: $\displaystyle d = \sqrt{388}$
[√Radical] Simplify: $\displaystyle d = 2\sqrt{97}$

8 0

3 years ago