Identify the solution set of the inequality, using the given replacement set.


x < –4; {–10, –4.3, –4, –3.9, 2, 6.5}
{–10, –4.3, –4}

1.{–10, –4.3, –4}


2.{–4, –3.9, 2}


3.{–10, –4.3}


4.{–3.9, 2}

Answer:

[tex]\boxed{\boxed{\sf x=84}}[/tex]

Step-by-step explanation:

[tex]\sf \cfrac{x}{6} +2=16[/tex]

Multiply both sides of the equation by 6:

[tex]\sf x+12=96[/tex]

Subtract 12 from both sides:

[tex]\sf x=96-12[/tex]

Subtract 12 from 96:

[tex]\sf x=84[/tex]

_________________________________

Answer:

[tex] \sf \: \longmapsto\frac{x}{6} + 2 = 16[/tex]

[tex]\sf \: \longmapsto\frac{x}{6} = 16 - 2[/tex]

[tex]\sf \: \longmapsto \frac{x}{6} = 14[/tex]

[tex]\sf \: \longmapsto \: x = 14 \times 6[/tex]

[tex]\sf \: \longmapsto \: x = 84[/tex]

Step-by-step explanation:

[tex]\fbox {\fbox {\fbox {\fbox{ \pink{HeavenMistress}}}}}[/tex]

Answer:

She can invite 13 people.

Step-by-step explanation:

Because Sarah has to pay $100 for the room, we can subtract.

$180-$100=$80.

Now that she has $80 left, we can see how many times $6 can go into $80.

$6x14=84.

This number is four more than $80, so Sarah can not invite 14 people.

But, if we do $6x13, we get $78.

$78 does not past $80 and is really close, Sarah can invite 13 people.

Final Answer: Sarah can invite 13 people without going over her budget.

I hope this helps and have a wonderful day! ;0

Answer:

13

Step-by-step explanation:

180-100 = 80

80 divided by 6 = 13.333

Answer:

Step-by-step explanation:

What you have here is called "the difference of two squares"

Difference means subtraction and both 100x2 and 49 are perfect squares.

The factored form of 100x2-49 is

(10x+7)(10x-7)

Because 10x times 10x is 100x2 and 7 times 7 is 49

One factor has a + and

One factor has a -

It is a pattern worth memorizing!

So 10x + 7 is the factor you're looking for.

Answer:

This is what it would look like! Hope this helps!

Answer:

6feet by 5feet by 4feet

7feet by 6feet by 4feet

8feet by 3feet by 7feet

Answer:

4

Step-by-step explanation:

In universal algebra and mathematical logic, a term algebra is a freely generated algebraic structure over a given signature. For example, in a signature consisting of a single binary operation, the term algebra over a set X of variables is exactly the free magma generated by X

Answer:

Blank 1) 1 pound of raisins

Blank 2) 2.25 pounds of raisins

Blank 3) 1.2 pounds of almonds

Blank4) 1.4 pounds of almonds

Answer:

12.80 divided by 8 = 1.60

1.60 x 32 = 51.20

Step-by-step explanation:

Answer:

4/10

Step-by-step explanation:

4:10

as there are 4 circles, and 10 total (6 + 4)

simplify by diving by 2.

therefore the answer is,

2:5

(I guess, this could be simplified further, but it wouldn't be a whole number).

Answer:

380

Step-by-step explanation:

285 / x = 75 / 100

Cross multiply 28500 = 75x

Divide by 75  380

Answer:answer d

Step-by-step explanation:

i just did the test

Answer:

it depends on the choices

Step-by-step explanation:

Answer:

24 red balls 56 blue balls

Step-by-step explanation:

We can use the ratio as percentages

30% of 80 is 24 red balls, and then we do 80-24=56 to calculate blue balls

Answer:

Step-by-step explanation:

The first step in solving the equation is to cube both sides:

  (∛x)³ = (-4)³ . . . . . = (-4)(-4)(-4) = 16(-4) = -64

  x = -64 . . . . . simplified

__

We're not sure what "checking" is supposed to involve here. Usually, one would check the answer by seeing if a true statement is made when the answer is put into the original equation.

  ∛(-64) = -4 . . . true

Many calculators will not compute √(-64) because they compute roots using logarithms. The log of a negative number is not defined.

So, the way one would check this is to cube both sides, which is how we got the answer in the first place. We expect the same result from doing the same operation again, so it isn't really a check.

Answer:

  a) 62

  b) 31/45

Step-by-step explanation:

a) The table tells you there are 42 males, and 20 more females that study biology.

  42 +20 = 62 . . . are male or study biology or both

__

b) Of the total of 90 people, 62 are male or study biology (or both). The probability that any person is in that category is ...

  62/90 = 31/45 = P(male or biology)

Answer:

Option 3

Step-by-step explanation:

This may not be the most efficient way, but I solved each one and option 3 had the same answer as the question.

[tex]\log_{10} x = -2.7777\\\\\implies x = 10^{-2.7777}\\\\\implies x = \dfrac{1}{10^{2.7777}}\\\\\implies x = 0.00167[/tex]

Answer: The equation of a line that passes through the point (8,-4) and has a slope of 3 is y = 3x - 28.

Explanation:

y = -4, x = 8

By putting above values in equation (i)

-4 = 3 (8) + b

-4 = 24 + b

-28 = b

b = -28

y = 3x - 28

Answer:

Step-by-step explanation:

The slope is the cost of a renewal: $10.

The y-intercept is the initial cost: $65.

Answer:

∠DAB=140

∠BAC=60

∠EBF=40

∠ACB=80

∠BCG=100

Step-by-step explanation:

Answer:

1. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.

2. In a right triangle, one of the angles has a value of 90 degrees.

3. The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

In the given figure, The marked angles forms a pair of co - interior angles [ because lines l and m are parallel ]

therefore,

Hence, the value of x is ~ 7

The answer is B) y = 4x

Explanation: If you substitute each number in the x column for the variable x, and then multiple that number by 4, you'll get the number in the y column to the right.

For example:

y = 4x --> y = 4 (2) --> y = 8

I hope this helped. :)

Answer:

See below

Step-by-step explanation:

[tex]\frac{5}{3}v+4+\frac{1}{3}v=8[/tex]

[tex]2v+4=8[/tex] <-- Resulting equation after first step

[tex]2v=4[/tex]

[tex]v=2[/tex] <-- Actual solution

Answer:

What's this question? Oh my gosh!

Answer:

It will take 2 months for the' mane to grow 24/10 centimeters, because 24/10 divided by 6/5 = 24/10 x 5/6 would be 2 months.

Step-by-step explanation:

Hope this helps, have a good day/night :)

It will take 4/2 months or 2 months for the horse's mane to grow 24/10 centimeters.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A horse's mane grows at the rate of 6 over 5 centimeters per month.

Let x be a number of months.

(6/5)x = 24/10

6x = 12

x = 12/6 = 4/2 or

x = 2 months

Thus, it will take 4/2 months or 2 months for the horse's mane to grow 24/10 centimeters.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:

E none of these

Step-by-step explanation:

first convert the 30 km into m

it will be 30000m

speed = distance /time taken

convert the time into seconds too it will be 1200

so 30000/1200 = 25m/s

none of the above

Answer:

10

Step-by-step explanation:

Multiply each side by the reciprocal, -5/2

x = -4 * -5/2

x = 20/2

x = 10

Answer:

0.5

Step-by-step explanation:

→ Find the difference in y

7 - 3 = 4

→ Find the difference in x

9 - 1 = 8

→ Divide the results

4 ÷ 8 = 0.5

Answer:

The slope is 1/2 (m=1/2)

Step-by-step explanation:

Use the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] to solve for the slope. y2 is 7, y1 is 3, x2 is 1, x1 is 9. [tex]\frac{7-3}{9-1}=\frac{4}{8} = \frac{1}{2}[/tex]

Answer:

[tex]y=-8x+80[/tex]

Step-by-step explanation:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}=\frac{32-64}{6-2}=\frac{-32}{4}=-8[/tex]

[tex]y=mx+b[/tex]

[tex]y=-8x+b[/tex]

[tex]64=-8(2)+b[/tex]

[tex]64=-16+b[/tex]

[tex]80=b[/tex]

Therefore, the estimated line of best fit is [tex]y=-8x+80[/tex]