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NeX [460]
2 years ago
8

Solve the following inequality: ALGEBRA 1

Mathematics
1 answer:
Alexxandr [17]2 years ago
6 0

Answer:

m \leqslant 10 \: or \: m > 4

Step-by-step explanation:

\frac{m - 2}{3}  \leqslant  - 4 \\  \frac{m - 2}{3}  \times 3 \leqslant -  4 \times 3 \\ m - 2 \leqslant  - 12 \\ m - 2 + 2 \leqslant  - 12 + 2 \\ m \leqslant 10

OR

3m - 8 > 4 \\ 3m - 8 + 8 > 4 + 8 \\ 3m > 12 \\  \frac{3m}{3}  > \frac{12}{3} \\ m > 4

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An egg carton holds five rows of 6 eggs. Which equation can be used to find the number of eggs three cartons can hold?
kap26 [50]

Answer:

The answer is D since 5 rows of 6 is just 5x6 then they want all so multiple 3 to get the total

5 0
3 years ago
Read 2 more answers
Find the Area of the figure below, composed of a parallelogram and two semicircles.
Fed [463]

Two needed formulas,:

To find the area of a parallelogram, use

A = bh.

To find the area of a semicircle, use

Area = (πr^2)/2.

The area of the parallelogram is 11 x 32 or 352.

The two semicircle have the same measure.

The radius of the semicircle is (1/2)(16) or 8.

Area = (π8^2)/2

Area = 64π ÷ 2

A = 32π

There are two semicircle.

So, the area of both semicircle combined is

2(32π) or 64π.

Area of figure = 64π + 352.

Area of figure = 553.0619298304

We now round to the nearest tenths to get

Area of the figure = 553.06.

5 0
3 years ago
Please who can help me?
Natasha2012 [34]
Sorry, very late response since I had other matters to attend to.
Question 1:
A: Incorrect; if that was the case, on day 1, the price would be 150. Instead here, according to the graph, on day 1 the price is 30. 

B: Incorrect; the slope, or rate of change, is 30.
[Note: To calculate the slope, we can take two points (I've chosen points (1,30) [1] and (2,60) [2] for you) and use the formula \frac{y^2 - y^1}{x^2 - x^1}.  \frac{60 - 30}{2 - 1} ⇒ \frac{30}{1}. \frac{x}{1} = x, therefore \frac{30}{1} = 30.]

C; Correct; each day the price increases by (+) 30.

D: Incorrect; the line does not show a constant decrease, but instead a constant increase.

Question 2:
A: Most likely this answer choice. The equation seems to be in slope-intercept form on accounting that the equation has mx and b. M has the x directly after it while the b is a number that stands alone. [Note: Numbers that stand alone and without a variable are constants.] B stands for the y-intercept/initial value, or amount started with. 

In short:
Q1: C
Q2: A

4 0
4 years ago
97/14 into a mixed number
Hunter-Best [27]
To change 97/14 into a mixed number, first figure out how many times 14 can go into 97 without going over. This would be 6 times which would be the whole number part of your mixed number. Then, multiply 6 by 14 to get 84 and subtract it from 97 to get 13 which would be the part over 16. This would result in your answer 6 13/16, would be 97/14 in mixed number form.
3 0
4 years ago
Help I don't know what to put ​
olga55 [171]

Answer:

7

Step-by-step explanation:

plug in 3 where ever there is x

so

(4(3)+2)-7

use PEMDAS to solve from left to right

P: Parenthesis

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

so we got p so we do that first

(4(3)+2) --> 4 × 3 = 12 (Multiplication first like in PEMDAS)

(12+2) = 14

so then in the equation you are left with

(14)-7 = 7

answer is 7

6 0
3 years ago
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