Given: A = {18, 6, -3, -12}

1 answer:

5 0

First solve the inequality:
(2/3)x +3< -2x-7
(8/3)x< -10
x< -30/8
x<-15/4 or x< -3.75
now look for the answers which satisfy this, and the answer will be D

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X/2+4<7

Lapatulllka [165]

Answer:

x<6

Step-by-step explanation:

x/2 < 7-4

x < 3*2

x<6

3 0

3 years ago

If 2/5 of the macaroni and cheese provides 16 pieces to the table,how many pieces were in the pan when it was full? Support you

astra-53 [7]

Bearing in mind that a whole will be 5/5, so the full pan is 5/5.

$\bf \begin{array}{ccll}
macaroni&pieces\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{2}{5}&16\\\\
\frac{5}{5}&p
\end{array}\implies \cfrac{\quad\frac{2}{5} \quad }{\frac{5}{5}}=\cfrac{16}{p}\implies \cfrac{2}{5}\cdot \cfrac{5}{5}=\cfrac{16}{p}
\\\\\\
\cfrac{2}{5}=\cfrac{16}{p}\implies 2p=80\implies p=\cfrac{80}{2}\implies p=40$

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3 years ago

The number of free song downloads is determined using a ratio when you purchase 40 songs you get 24 free song downloads how many

natka813 [3]

34 because 24 is 6x4 and 40 is 6.5 but you obviously round up so 7x6 so18 free songs is is 6x3 you just take away 6 to your number so 40-6+=34 so 34

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3 years ago

Determine the slope of the linear function. Y= 1/5 x + 6

Novay_Z [31]

D. 1/5

Reason: it’s always the first number in the equation

7 0

4 years ago

Read 2 more answers

What is the slope of a line perpendicular to the line whose equation is 2x+2y=28

malfutka [58]

Answer:

Step-by-step explanation:

1) First, place the given equation in slope-intercept form ( $y = mx +b$ format) to find its slope easier. Isolate the y:

$2x + 2y = 28\\2y = -2x + 28\\y = -x+14$

So, the equation of the line in slope-intercept form is $y = -x + 14$ . When an equation is in slope-intercept form, the $m$ , or the coefficient of the x-term, represents the slope. Thus, the slope for the given line would be -1.

2) Lines that are perpendicular have slopes that are opposite reciprocals of each other. We need to find the opposite reciprocal of -1, then.

To find the opposite reciprocal of a number, write the given number as a fraction first -- making -1 be written as $-\frac{1}{1}$ -- then switch the sign and flip the numerator and denominator. So, the opposite reciprocal of -1 is 1, and 1 is the slope of the perpendicular line.

3 0

3 years ago