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3 years ago

Solve for Variable: 3x + 7 < 16 A. x > 3 B. x < 5 C. x > 6 D. x < 3

Mathematics

1 answer:

romanna [79]3 years ago

4 0

Answer:

D. x < 3

Step-by-step explanation:

3x + 7 < 16

To solve, we have to isolate x.

3x + 7 < 16

Subtract 7 from both sides :

3x < 9

Divide 3 from both sides :

x < 3

Now in some cases, you could say that the inequality sign would switch, but this is only when you divide by a negative sign, so keep that in mind.

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What value of n solves the equation 3n=1/81 N=___

Radda [10]

3n = 1/81; divide both sides by 3 to isolate n:

3n/3 = 1/81 divided by 3. Remember that when you divide, you use the reciprocal and multiply instead!!

n = 1/81(1/3) = 1/243. Now plug 1/243 back in for n, and 3/243 is equivalent to 1/81

7 0

4 years ago

What is the rate of change for a linear function that passes through the points (8, -10) and (-6, 14)

Anna71 [15]

Answer: $m=-1.714$

Step-by-step explanation:

By definition, the slope of the line is described as "Rate of change".

You need to use the following formula to calcualte the slope of the line;

$m=\frac{y_2-y_1}{x_2-x_1}$

In this case you know that the line passes through these two points: (8, -10) and (-6, 14).

Then, you can say that:

$y_2=-10\\y_1=14\\\\x_2=8\\x_1=-6$

Knowing these values, you can substitute them into the formula for calculate the slope of a line:

$m=\frac{-10-14}{8-(-6)}$

Finally, you must evaluate in order to find the slope of this line. You get that this is:

$m=\frac{-24}{8+6}\\\\m=\frac{-24}{14}\\\\m=-\frac{12}{7}\\\\m=-1.714$

8 0

3 years ago

Please help I'am very lost on this one thank you all

LUCKY_DIMON [66]

Large rectangles = 2*3*6
medium rectangles = 2*2*6
small rectangles = 2*2*3
surface area = 72 cm^2

8 0

3 years ago

Part A

labwork [276]

An algebraic expression is one that consists of both number(s) and an alphabet(s). The required answers are:

i. Distance from Chenoa's house to the coffee shop = 6.0 miles

ii. Distance from coffee shop to Chenoa's school = 1.5 miles

iii. Distance from Chenoa's house to her school = 7.5 miles

An algebraic expression is one that consists of both number(s) and an alphabet(s). The alphabet is referred to as the unknown whose value has to be determined.

In the given question, let the distance from the coffee shop to Chenoa's school be represented by y.

So that;

The distance from Chenoa's house to the coffee shop = (2y + 3) miles.

The total distance from Chenoa's house to her school = 5y.

This implies that:

(2y + 3) + y = 5y

3y + 3 = 5y

3 = 5y - 3y

2y = 3

y = $\frac{3}{2}$

= 1.5

The distance from the coffee shop to Chenoa's school is 1.5 miles.

Thus;

(2y + 3) = ( 2(1.5) + 3)

= 6

The distance from Chenoa's house to the coffee shop is 6 miles.

And,

5y = 5(1.5)

= 7.5

The total distance from Chenoa's house to her school is 7.5 miles.

For more clarifications on algebraic expressions, visit: brainly.com/question/12792264

#SPJ1

5 0

2 years ago

Determine if parallel, perpendicular, or neither. 3y+4x=12 -6y=8x+1

djverab [1.8K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers