Twice the sum of a number and 6 is
more than 84.

the is a. 21

Two Angles are Complementary when they add up to 90 degrees (a Right Angle).

Answer

Explanation

The probabaility of an event is given

To determine when the total cost of each health club will be the same, we can set up an equation and solve for the number of months.

Let's assume the number of months is represented by 'x'.

For Club A, the total cost is given by:

Total cost of Club A = $13 (one-time fee) + $28x (monthly fee)

For Club B, the total cost is given by:

Total cost of Club B = $19 (one-time fee) + $27x (monthly fee)

To find the number of months when the total cost is the same, we set the two equations equal to each other:

$13 + $28x = $19 + $27x

Simplifying the equation, we get:

$28x - $27x = $19 - $13

$x = 6

Therefore, after 6 months, the total cost of each health club will be the same.

To find the total cost for each club after 6 months, we substitute the value of 'x' back into the equations:

Total cost of Club A after 6 months = $13 + $28(6) = $13 + $168 = $181

Total cost of Club B after 6 months = $19 + $27(6) = $19 + $162 = $181

So, the total cost for both Club A and Club B will be $181 after 6 months.

For such more question on equation

https://brainly.com/question/29174899

#SPJ8

5 adult tickets and 3 student tickets were purchased!

Answer:

-8 < x, the answer is B

Step-by-step explanation:

Since its starting from -8 and your going to the greater side of the numberline teh variable will be greater than -8, whenever the circle is filled it just means greater than or equal to depending on which side its going. If its filled in, it means that its greater than or equal to or less than or equal to depending on which side its going towards.

Reminder:

<--------------- Negative side/Lower -----------------------> Positive side/Greater

Answer:

b is correct

Step-by-step explanation:

I just did it

Answer:

x(7y)x(7y)

Step-by-step explanation:

The given expression: 7(xy)7(xy)

i.e. a product of 7 and xy.

The operation used here: Multiplication.

Commutative property of multiplication :-

a\times b=b\times aa×b=b×a for any numbers a and b.

Associative property of multiplication :-

a\times(b\times c)=(a\times b\times c)a×(b×c)=(a×b×c) for any numbers a , band c.

Now, 7(xy)=(7x)y7(xy)=(7x)y [Associative property of multiplication]

=(x7)y=(x7)y [Commutative property of multiplication]

=x(7y)=x(7y) [Associative property of multiplication]

Answer:

0.0384

Step-by-step explanation:

Given that:

Mean (m) = 6.0

Standard deviation (s) = 2.0

Sample size (n) = 50

Probability that average amount is greater than 6.5

P(x > 6.5)

Obtain the Zscore using the relation :

Zscore = (x - m) / (s / sqrt(n))

Zscore = (6.5 - 6.0) / (2 / sqrt(50))

Zscore = 0.5 / 0.2828427

Zscore = 1.7677

Zscore = 1.77

P(Z > 1.77) = 1 - P(Z < 1.77)

P(Z > 1.77) = 1 - 0.9616

P(Z > 1.77) = 0.0384

Answer:

4.2%

Step-by-step explanation:

n=50, X=6.0, δ=2.0

Z=\(\frac{6.5-6.0}{2.0}\)  =  0.25

F(Z)= 4.2% based on the chart in the FE Handbook

As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.

In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;

As x → -1⁻, f(x) → ∞.

Read more on vertical asymptotes and functions here: brainly.com/question/28184937

#SPJ1

The maximum height reached by the ball is 908.5 feet.

Using the given values, we can substitute v0 = 152 and h0 = 6 into the equation:

\(h(t) = -16t^2 + 152t + 6\)

This quadratic function models the height of the ball at any time t after it is thrown.

To find the maximum height of the ball, we need to find the vertex of the parabolic curve described by the quadratic function. The vertex can be found using the formula:

t = -b / 2a

where a = -16 and b = 152 are the coefficients of the quadratic function.

t = -152 / 2(-16) = 4.75

So the maximum height is reached after 4.75 seconds. To find the maximum height, we can substitute this value back into the equation:

\(h(4.75) = -16(4.75)^2 + 152(4.75) + 6 = 908.5\)feet

Therefore, the maximum height reached by the ball is 908.5 feet.

for such more question on height

https://brainly.com/question/27987869

#SPJ11

Question

A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 152 feet per second. Write a quadratic function to model the vertical motion of the ball, given that the height of the ball at time t is given by: h(t) = -16t^2 + v0t + h0

The Matchings are:

A ratio or figure stated as a fraction of 100 is called a percentage.

Let 3 be x% of 22.

x% of 22 = 3

22x = 300

x= 13.63%

So, 3 is 13.63% of 22.

Let 22 be y % of 164.

y% of 164 = 22

164y= 2200

y= 13.41%

So, 13.41% of 164 is 22.

4% of 22 = 0.88

then, 4/100 x 22 = 0.88

Let 8 is 22% of z.

22z/100 =8

z= 36.36

5% of 22 = 1.1

= 5/100 x 22

= 1.1

Learn more about percentage here

brainly.com/question/24159063

#SPJ1

Answer:

35

Step-by-step explanation:

You can easily graph this in desmos for a visual understanding.

The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.

Triangular prism: 2 bases and 5 faces

Pentagonal prism: 2 bases and 7 faces

Answer:

I hope this is right

Step-by-step explanation:

A triangular prism has two triangular bases and five faces.

A pentagonal prism has two pentagonal bases and seven faces.

I really hope this is right :)

The original price of the refrigerator was $400.

The statement "Julio bought a refrigerator on sale for $200 was one-half of the original price" can be translated into an algebraic equation as follows:

1/2x = 200

x represents the original price of the refrigerator.

This equation states that half of the original price is equal to $200 is the sale price that Julio paid.

To solve for x, we can multiply both sides of the equation by 2 gives us:

x = 2 × 200

x = 400

We can check this answer by verifying that half of $400 is indeed equal to $200 was the sale price that Julio paid.

We translated the verbal statement into an algebraic equation and solved for the unknown variable to find that the original price of the refrigerator was $400.

The phrase "Julio bought a refrigerator on sale for $200 was one-half of the original price" may be transformed into the following algebraic equation:

The initial cost of the refrigerator is 1/2x = 200x.

According to this calculation, Julio paid $200 for the item, which is equal to half of the original price.

By multiplying both sides of the equation by 2, we may find the value of x as follows:

x = 2 × 200 x

= 400

By confirming that half of $400 is actually equal to $200, which was the sale price paid by Julio, we can confirm this response.

The spoken statement was converted into an algebraic equation and the unknown variable was solved for in order to determine that the refrigerator's initial cost was $400.

For similar questions on original price

https://brainly.com/question/28914479

#SPJ11

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

Answer:

f ( x ) = 4 x − 10

Step-by-step explanation:

Shown in the figure.

To find the subtraction of these vectors,

Add the inverse or reverse of one vector to another vector is the same as subtracting vectors.

By creating a parallelogram using the two vectors with the same initial point, it is possible to calculate the subtraction of the vectors using the parallelogram law of subtraction.

Now plot the figure of v - u.

To learn mare about vectors visit:

https://brainly.com/question/31479215

#SPJ1

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

Learn more about radicals here:

https://brainly.com/question/12739054

#SPJ1

Answer:

2d+1x+5b+1x=6p

Step-by-step explanation:

Rewrite = so is on the left side:

2d+1x+5b+1x=6p

Hence, the correct answer is 2d+1x+5b+1x=6p

Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

Answer:

x² - 6x + 8 = 0

or, x² - (4+2)x + 8 = 0

or, x² - 4x - 2x + 8 = 0

or, x(x-4) -2(x -4)= 0

or , (x-4) (x-2) = 0

either,

x - 2 = 0

x = 2

OR,

x - 4 = 0

x = 4

next ,

x-p = 9

or, 2-p = 9

p= -7

either,

x-p = 9

or, 4 - p = 9

or, p= -5

hope this will help you

The equation that best describes the relation is y = -x+1 ( optionD)

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Taking x(0,1) and y ( 1,0)

therefore the slope of the line

= 0-1/1-0

= -1/1 = -1

the equation a line is given as

y-y1 = m(x-x1)

= y-1 = -1( x - 0)

= y-1 = -x

y = -x +1

therefore the equation that describe relation is y = 1-x or y = -x+1

learn more about linear equation from

https://brainly.com/question/2030026

#SPJ1

Answer: -3 + n >= 5

Step-by-step explanation: I got it wrong on the test but got the correct answer from test review on K12

The rate of decrease of the weather in degrees per hour is 2 degrees.

The time elapsed is from 5:00 PM to 9:00 PM, which is 4 hours.

The temperature dropped from 20 degrees to 12 degrees, which is a change of -8 degrees.

Therefore, the rate of decrease of the weather in degrees per hour is:

-8 degrees / 4 hours = -2 degrees per hour

A measurement of how quickly the temperature changes over time is the rate of change. Depending on the time frame being considered, it is typically represented in units of degrees per hour, degrees per minute, or degrees per second. Depending on whether the temperature is rising or falling, the rate of temperature change can be either positive or negative. The temperature rises when the rate of change is positive; it falls when the rate of change is negative.

Many variables, including the amount of sunlight, wind speed, humidity, and the time of day, have an impact on the pace of temperature change. Generally speaking, temperature varies more quickly during the day than it does at night, and it varies more quickly in places with less foliage and more exposed ground. Human activity, such as the emission of greenhouse gases into the atmosphere, which can eventually lead to an increase in global temperatures, can also have an impact on the pace of change of temperature.

To know more about temperature, click here,

https://brainly.com/question/11464844

#SPJ1

Answer: A,C, and D

Step-by-step explanation:

Answer:

the answer to this question may be option B, C and D

Answer:

Step-by-step explanation:

You want to identify the given shapes as a regular or irregular polygon, or neither.

A regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.

Polygon E is a regular polygon.

A polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.

Any simple polygon that is not a regular polygon is an irregular polygon.

Polygons A, B, D are irregular polygons.

A circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.

<95141404393>

The two different trinomials that have a greatest common factor of  \(5x^{2} y^{3}\) are:

a) \(35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}\)

b) \(25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z\\\)

Let us verify,

a)  Consider the trinomial   \(35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}\),

The Greatest Common Factor  of 35, 5, 15 is 5

The Greatest Common Factor  of  \(x^{2} ,x^{4} ,x^{3} =x^{2}\)

The Greatest Common Factor  of  \(y^{5} ,y^{9} ,y^{3} = y^{3}\)

There is no G.C.F for z because it is missing in the 3rd term.

So, the G.C.F  of the trinomial   \(35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}\) =  \(5x^{2} y^{3}\)

b) Consider the trinomial   \(25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z\\\),

The Greatest Common Factor  of 25, 5, 10 is 5

The Greatest Common Factor  of \(x^{4} ,x^{7} ,x^{2} =x^{2}\)

The Greatest Common Factor  of \(y^{3} ,y^{8} ,y^{4} = y^{3}\)

There is no G.C.F for z because it is missing in the 2nd term.

So, the G.C.F of the trinomial  \(25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z = 5x^{2} y^{3}\)

To learn more about G.C.F, refer:

https://brainly.com/question/219464

#SPJ9

Answer:

6 hours

Step-by-step explanation:

FInding Holly's time of Ella's

Ella = \(1 \frac{3}{5}\)

Holly = \(\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}\)

Solve:

\(\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}\)

\(= \frac{3}{4} \times1 \frac{3}{5}\)

\(1\frac{3}{5} =\frac{8}{5}\)

\(\frac{3}{4}\times \frac{8}{5}=\frac{24}{20}\)

\(\frac{24}{20} =\frac{6}{5}\)

Now, we can find how many hours it takes holly to complete 5 paintings:

\(\frac{6}{5}\times5\)

\(=6\)

Therefore, it will take Holly 6 hours to complete 5 paintings.

\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ WU^2=UV^2+WV^2\implies \sqrt{WU^2-UV^2}=WV \\\\\\ \sqrt{41^2-40^2}=WV\implies 9=WV\)

Check the picture below.

The value of tan W rounded to the nearest hundredth, in the right angle triangle UVW is 4.55.

Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of the other two legs of the right angle triangle.

The opposite side is the 40 units, while the hypotenuse side is 41 units long in the right angle triangle. Thus, the value of base side W is,

\((VW)^2+(40)^2=(41)^2\\(VW)=\sqrt{(41)^2-(40)^2}\\VW=9\rm\; units\)

In the right angle triangle, the value of tan W is the ratio of side VW and UV. Thus,

\(\tan W=\dfrac{UV}{VW}\\\tan W=\dfrac{41}{9}\\\tan W=4.55\)

Thus, the value of tan W rounded to the nearest hundredth, in the right angle triangle UVW is 4.55.

Learn more about the Pythagoras theorem here;

https://brainly.com/question/343682

#SPJ2

Answer:

  (c)  y = 3^x

Step-by-step explanation:

A function is described as exponential if the independent variable is found in the exponent.

  y = x^(1/2) . . . a square root function, not exponential

  y = 2x^3 . . . . a cubic (polynomial) function, not exponential

  y = 3^x . . . . . an exponential function