two step inequalities
please help ​

Answer:

  (b)  EF = 5

Step-by-step explanation:

Given point F lies on segment EG, you want to find EF when FG = 12 and EG = 17.

The segment addition postulate tells you the whole is the sum of the parts. That is ...

  EF +FG = EG

  EF +12 = 17 . . . . . substitute given lengths

Subtracting 12 from both sides of the equation, we have ...

  EF = 5

Answer

c)

Step-by-step explanation:

321÷12=26.75 ~ 27

Answer:

Therefore, 27 tables are needed to seat all of the visitors.

Step-by-step explanation:

In order to solve this question, we must divide 321 by 12, since there are 321 visitors, and each table seats 12 people.

321 ÷ 12 = 27 when rounded to the nearest whole number.

Therefore, 27 tables are needed to seat all of the visitors.

Hope this helps! :D

Answer:

120divide by2=60

3miles only

160 divide by 80=2 hrs

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Quotient means division

therefore, -3/8 / -1/3

-3/8 * 3/-1

=1/1/8 or 9/8 or 1.125

Answer:

Step-by-step explanation:

(x)*g(y)

=(tanx-2/x)*(y²+8)

=y²tanx+8tanx-2y²/x-16/x

The product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,

[tex]f(x)\times g(y)= y^2\tan(x)+8\tan(x)-\dfrac{2y^2}{x}-\dfrac{16}{x}[/tex]

When the two or more than two functions are multiplies together. Then the resultant function is called the product of these functions.

Let suppose there is a function f(x) and another function g(x). Then the product of function can be written as,

[tex]f(x)\times g(x)[/tex]

Let suppose, a function f(x) is

[tex]f(x)= tan(x)-\dfrac{2}{x}[/tex]

Let another function g(x) is,

[tex]g(x)= x^2+8[/tex]

Then g(y), will be,

[tex]g(y)= y^2+8[/tex]

The product of this two function is,

[tex]f(x)\times g(y)= \left(\tan(x)-\dfrac{2}{x}\right)\times(y^2+8)\\f(x)\times g(y)= y^2\tan(x)+8\tan(x)-\dfrac{2y^2}{x}-\dfrac{16}{x}[/tex]

Thus, the product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,

[tex]f(x)\times g(y)= y^2\tan(x)+8\tan(x)-\dfrac{2y^2}{x}-\dfrac{16}{x}[/tex]

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Answer:

elisa made more withrawalss

Step-by-step explanation:

because when you divide elisa's total withrawal by the amaount of cash she withrew at a time would be 140/20=7.Whwn you compare that to francis's withrawal would be 270/45=6. 7>6 so elisa made more withrawals than francis

Answer:

elisa did da most

Step-by-step explanation:

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: f(x)= {6}^{x} [/tex]

we need to find f'(2) = ??

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (x) = \displaystyle \sf \lim_{h \to0} \: \: \dfrac{f(x + h) - f(x)}{h} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (x) = \displaystyle \sf \lim_{h \to0} \: \: \dfrac{6 {}^{x + h} - 6 {}^{x} }{h} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (x) = \displaystyle \sf \lim_{h \to0} \: \: \dfrac{6 {}^{x + h} - 6 {}^{x} }{h} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (x) = \displaystyle \sf \lim_{h \to0} \: \: \dfrac{6 {}^{x }( 6 {}^{h} - 1)}{h} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (x) =\: 6 {}^{x} \: log_{e}(6) [/tex]

Now, plug in 2 for x ~

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (2) =\: 6 {}^{2} \sdot log_{e}(6) [/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (2) =\: 36 \sdot (1.79)[/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ \prime} (2) =64.44[/tex]

Answer:

The name of line of reflection for the pair of figures is, line (r).

Step-by-step explanation:

Line of reflection : It is a line that divide a figure in two half similar or identical figures.

Or we can say that, a line of reflection is a line that divide a figure into two mirror images of the figure.

In mathematical terms we can say that, a line of reflection is a line where each point present in a shape appears at equal distance on the opposite side.

From this we conclude that,

The line 'r' represent the line of reflection.

The line 'q' represent the line of symmetry.

The line 'p' represent the line of asymmetry.

Hence, the name of line of reflection for the pair of figures is, line (r).

Answer:

third one

Step-by-step explanation:

Using the hypergeometric distribution, it is found that you are going to win approximately 3.33% of the time.

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

For this problem, we have that:

You win if you have the 3 correct balls, hence the probability is P(X = 3), found as follows:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,60,20,3) = \frac{C_{3,3}C_{60,20}}{C_{60,20}} = 0.0333[/tex]

Hence you are going to win approximately 3.33% of the time. The difference is because you considered that only 3 balls would be drawn, and not 20.

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Answer: You would only be able to pick up 50miles worth of signal from the transmitter. P.s. i hope im not wrong

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Term are the number and signs to make a problem.

Ex: 4+5=9

all those are terms

Answer: 45

Step-by-step explanation: The right angle is 90 and the total is 180 so that would be 180 - 90 - 45 which would equal 45

Hope this helps :)

Answer:

x = - 6

Step-by-step explanation:

Let's do this quickly,

5(x – 4) = -50

5x - 20 = -50

5x = -50 + 20

x = - 30/5

x = -6

well, the total was really "x", which oddly enough is 100%, but if we include the tip that'd be 100% + 10% = 110%, which we happen to know is $37.40, that's the cost of food and drinks plus tip hmmm so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 37.40& 110 \end{array} \implies \cfrac{x}{3740}~~=~~\cfrac{100}{110} \\\\\\ \cfrac{x}{37.40}=\cfrac{10}{11}\implies 11x=374\implies x=\cfrac{374}{11}\implies x=34[/tex]

Answer:$34

Step-by-step explanation:

Answer:

a: 2

b:93

Step-by-step explanation:

x=3  

y-5

a)

4x-2y    given

4(3)-2(5)  substitution

12-10        multiply

2               subtract

b)

2x^2+3y^2       given

2(3^2)+3(5^2)  substitution

2(9)+3(25)       solve exponent

18+75               multiply

93

Answer:

A would be 2 assuming x=3 and y=5

B would be 36 + 225 . So I believe the answer is 261

Step-by-step explanation:

I hope you ace your test

Answer:

the square

Step-by-step explanation:

perpendicular = 90 degrees

Square (Option 1) has at least one pair of perpendicular sides

"Perpendicular means two lines, or sides, that meet at a right angle. A right angle is the measurement of 90 degrees."

"Perpendicular sides are at a 90-degree angle. Since they are so common, there is a special symbol to signify the sides are perpendicular without measuring."

Option 1

Squares are made up of two sets of parallel line segments, and their four 90° angles mean that those segments also happen to be perpendicular to one another.

Option 2

A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram.

Option 3

There are three angles in a triangle. These angles are formed by two sides of the triangle, which meets at a common point, known as the vertex. The sum of all three interior angles is equal to 180 degrees.

Option 4

A trapezoid is a quadrilateral with exactly one pair of parallel sides. Isosceles trapezoids have two sides which are equal sized and have the same angles between themselves and the bases.

Hence, Square (Option 1) has at least one pair of perpendicular sides

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630 gallons of 90% antifreeze has to be mixed.

Sum of values of two solutions = Value of mixture  

90% =0.9 unit value and amount x we get value 0.9x

10%= 0.1 unit value and amount 90 we get value =0.1*90=9

total mixture =0.80 value x+90 we get value 0.8*(x+90)

0.9x + 9 = 0.8(x + 90)  

0.9x + 9 = 0.8x + 90 x 0.8

0.9x – 0.8x = 72 – 9

0.1x = 63

x = 630

Hence, 630 gallons of 90% antifreeze has to be mixed.

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Answer:

b

c

Step-by-step explanation:

First question: x - 6 means there is a shift to the right.

Second Question: substitute the given values into the original equation for appropriate transformations.

Answer: 3 |x-4| + 2, because vertical stretch multiplies x, horizontal shifts are subtracted or added to x, and vertical shifts are added or subtracted to the entire function.

The movement of the curve in the graph is shifting of the curve in vertical or the horizontal direction.For the first function the graph horizontal shift of 6 units right and for the second function when it is  vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units the transformation function is,

[tex]g(x)=3|x-4|+2[/tex]

The equation of the graph given in the problem is,

[tex]f(x)=\sqrt{x} [/tex]

The movement of the curve in the graph is shifting of the curve in vertical or the horizontal direction.

          [tex]g(x)=\sqrt{x-6} [/tex]

There is no change with the constant value. Thus the graph will not move in vertical direction. The change in variable of a unit result in the graph shift in horizontal direction.

As it shift -6 thus graph horizontal shift of 6 units right.

[tex]f(x)=|x|[/tex]

Vertical stretch of 3 means multiply the function with unit 3.

[tex]g(x)=3|x|[/tex]

Horizontal shift to the right 4 units means the difference of 4 units in the variable,

[tex]g(x)=3|x-4|[/tex]

Vertical shifts up with 2 units means the addition of the constant 2.

[tex]g(x)=3|x-4|+2[/tex]

Hence, for the first function the graph horizontal shift of 6 units right and for the second function when it is  vertical stretch of 3, a horizontal shift to the right 4 units, and a vertical shift up 2 units the transformation function is,

[tex]g(x)=3|x-4|+2[/tex]

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Answer: 151 messages

Step-by-step explanation:

each messages cost Layla 10 cents. Which means that 151 x 0.10= 15.10

Answer:

Step-by-step explanation:

Given,

No. of text messages for $4.70 = 47

So, no. of text messages for $1.00 = [tex]\frac{47}{4.7}[/tex]

Therefore,

No. of text messages for $15.10

= [tex]\frac{47}{4.7}[/tex] × 15.10

= 10 × 15.10

= 151

Hence,

The no. of text messages for $15.10 are 151 (Ans)

Answer:

The are 7 ounces of combined meat and cheese in each sandwich (4+3 =7)

There were 13 sandwiches made in the hour (91 oz/7 oz = 13)

52 ounces of meat were used (4*13 = 52) If 13 sandwiches were made, and we know that 4 ounces of meat were used on each sandwich, 4*13 would tell us how many ounces of meat total were used.

39 ounces of cheese were used (3*13 = 39) If 13 sandwiches were made, and we know that 3 ounces of cheese were used on each sandwich, 3*13 would tell us how many ounces of cheese total were used.

You can check to see if the multiplication answers are correct by adding them (39+52 = 91)

I hope this helps you!

Answer:

13

Step-by-step explanation:

4+3=7

91 divided by 7 =13

Answer:

y = (-1/19)(x - 8)² + 1521/76

Step-by-step explanation:

A parabola moves in such a way that it's distance from it's focus and directrix are always equal.

Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4

If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;

√((x - 8)² + (y - ¼)²)

Distance from that point to the directrix is; (y - 39/4)

Thus;

√((x - 8)² + (y - ¼)²) = (y - 39/4)

Taking the square of both sides gives;

((x - 8)² + (y - ¼)²) = (y - 39/4)²

(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²

Simplifying this gives;

(x - 8)² - (39/4)² = (½ - 39/2)y

(x - 8)² - 1521/4 = -19y

(x - 8)² - 1521/4 = -19y

Divide both sides by -19 to get;

y = (-1/19)(x - 8)² + 1521/76

Answer: No Solution

Step-by-step explanation: There isn't an option to get x by itself, leaving you with no Solution.

Heres where it fails:

x - 4 = -9 + x

Get X by Itself

x - 4 = -9 + x

-x                -x

-4 = -9

And last time I checked, -4 doesn't equal -9

Answer:

[tex]x = 19[/tex]

Step-by-step explanation:

Given

Shape: Regular Dodecagon

Interior Angle = 8x - 2

Required

Determine x

The sum of n terms of a regular polygon is:

[tex]Sum=180(n-2)[/tex]

Sides of a dodecagon is 12; So, we have:

[tex]Sum=180(12-2)[/tex]

[tex]Sum=180(10)[/tex]

[tex]Sum=1800[/tex]

Each angle is gotten by dividing 1800 by 12

[tex]Angle = \frac{1800}{12}[/tex]

[tex]Angle = 150[/tex]

Equate this to 8x - 2:

[tex]8x - 2 = 150[/tex]

Solve for x

[tex]8x = 150 + 2[/tex]

[tex]8x = 152[/tex]

[tex]x = 152/8[/tex]

[tex]x = 19[/tex]

Answer:

  (-3/2, 0)

Step-by-step explanation:

You want the midpoint of line segment AB with end points A(-5, 5) and B(2, -5).

The midpoint of a line segment has coordinates that are the average of the end point coordinates.

  M = (A +B)/2

  M = ((-5, 5) +(2, -5))/2 = (-5+2, 5-5)/2 = (-3, 0)/2

  M = (-3/2, 0)

The midpoint of the line segment is (-3/2, 0).

Answer:

Step-by-step explanation:

Given a land area of 3200 m² with a length of 80 m, you want the width, perimeter, and cost of digging at ₹25/m².

The formula for the area of a rectangle can be used to find the width of the plot.

  A = LW . . . . . . area is the product of length and width

  3200 m² = (80 m)W . . . . . fill in given values

  40 m = W . . . . . . . . . . . . divide by the coefficient of W

The width of the plot is 40 m.

The perimeter can be found using the formula ...

  P = 2(L +W)

Using the length and width we know, this is ...

  P = 2(80 m +40 m) = 2(120 m)

  P = 240 m

The perimeter of the plot is 240 m.

The cost of digging will be the product of the number of square meters and the cost of digging each one:

  digging cost = (3200 m²)×(₹25 /m²) = ₹80,000

The cost of digging the land is ₹80,000.

The property which is being used to go from step 4 to step 5 is associative Property .

In step 4 it is written that 30 + (-19x) -3 = 0

                                         27 - 19x = 0

According to associative Property is we interchange the number with their sign it gives the same solution as this before .

On interchanging we get ,( -19x +30) -3 = 0

                                           - 19x + 27 = 0

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