The Patel, Lopez, and Russo families all had parties recently. There were 152 adults at the Lopez party. The ratio of adults to children at the Russo party was 5 to 4. What was the ratio of adults to children at the Patel party

Answer:

[tex] x = 6.6 [/tex]

Step-by-step explanation:

Given ∆WXY,

<X = 15°

<Y = 23°

y = 10

x = ?

To find side x, use the Law of sines as shown below:

[tex] \frac{x}{sin X} = \frac{y}{sin Y} [/tex]

Plug in the values of y, Y, and X

[tex] \frac{x}{sin 15} = \frac{10}{sin 23} [/tex]

[tex] \frac{x}{0.2588} = \frac{10}{0.3907} [/tex]

Cross multiply

[tex] x*0.3907 = 10*0.2588 [/tex]

Divide both sides by 0.3907 to solve for x

[tex] \frac{x*0.3907}{0.3907} = \frac{10*0.2588}{0.3907} [/tex]

[tex] x = \frac{2.588}{0.3907} [/tex]

[tex] x = 6.624 [/tex]

[tex] x = 6.6 [/tex] (to nearest tenth)

Answer:

2383.14286

Step-by-step explanation:

The volume of a prism is length times width times height. Since we already know the height and length of the prism, we can divide the volume of the prism by the height and length. This becomes: 50046/3 = 16682. Next we divide by 7: 16682/7 = 2383.14286. Hope this helps!

Answer:

[tex]\huge\boxed{\cot\theta=\dfrac{1}{xy}}[/tex]

Step-by-step explanation:

[tex]\bold{METHOD\ 1}[/tex]

[tex]\sin\theta=x\\\\\sec\theta=y\\\\\cot\theta=?\\\\\text{We know:}\\\\\sec x=\dfrac{1}{\cos x};\ \cot x=\dfrac{\cos x}{\sin x}\\\\\sec\theta=y\to\dfrac{1}{\cos \theta}=y\to\dfrac{\cos\theta}{1}=\dfrac{1}{y}\to\cos\theta=\dfrac{1}{y}\\\\\cot \theta=\dfrac{\frac{1}{y}}{x}=\dfrac{1}{xy}[/tex]

[tex]\bold{METHOD\ 2}[/tex]

[tex]\text{We know}\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\cot x=\dfrac{\cos x}{\sin x}=\dfrac{1}{\tan x}\\\\\sec x=\dfrac{1}{\cos x}\\\\\text{therefore}\\\\(sin x)(\sec x)=(\sin x)\left(\dfrac{1}{\cos x}\right)=\dfrac{\sin x}{\cos x}=\tan x\\\\\dfrac{1}{(\sin x)(\sec x)}=\dfrac{1}{\tan x}=\cot x[/tex]

[tex]\\\sin \theta=x;\ \sec\theta=y\\\\\text{substitute}\\\\\cot\theta=\dfrac{1}{xy}[/tex]

Answer:

Choice D - 8cm and 9cm.

Step-by-step explanation:

The other sides are not greater than 13.

A: 5 + 8 = 13

B: 6 + 7 = 13

C: 7 + 2 = 9

However, D is greater than 13 and is the correct answer.

D: 8 + 8 = 16.

Option d: 8 cm and 9 cm.

There is a theorem in mathematics stating:

" The sum of length of two sides of any triangle is greater than the rest third side"

According to that theorem, first three given options cant form the sides of the given triangle whose one side is 13 cm.

The 4th option has 8 cm and 9 cm for which we have:

8 + 9 > 13

Thus this option follows the theorem.

Hence fourth option is correct.

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Answer:

Ok, i cant drag the endpoints of the segment, but i can tell you how to do it.

First, we know that h(x) joins the points (1, -5) and (9, 1), then h(x) is a line:

h(x) = s*x + b

First, for a line that goes through the points (x1, y1) and (x2, y2), the slope will be:

s = (y2 -y1)/(x2 - x1)

Then in this case, the slope is:

s = (1 - (-5))/(9 - 1) = 0.75

Then we have

h(x) = 0.75*x + b

now, the value of b can be found as:

h(1) = -5 = 0.75*1 - b

b = - 5 - 0.75 = -5.75.

Then our equation is:

h(x) = 0.75*x - 5.75

Now, i gues you want to find the graph of:

y = h(-x)

Then our new function is:

g(x) = h(-x) =  -0.75*x - 5.75.

Now to find the points, we evaluate this function in the same values of x as before.

g(1) = -0.75*1 - 5,75 = -6,5

the point is (1, -6.5)

the second point is when x = 9.

g(9) = -0.75*9 - 5.75 = -12.5

The second point is (9, -12.5)

Answer:

(−6,7) (-1,-2)

Step-by-step explanation:

Khan

Answer:

(7x^3+2y^3)(2x^3−7y^3)

Answer:

52.7

Step-by-step explanation:

Of means multiply

85% * 62

.85 * 62

52.7

Turn the percentage into a decimal.

85% = 0.85

Multiply.

62 * 0.85 = 52.7

So, 52.7 is 85% of 62.

Best of Luck!

Answer:

The second and fourth statements are correct.

Step-by-step explanation:

We are given the function for the graph of:

[tex]y=-(x-0.5)^2+9[/tex]

Note that this is a quadratic function in its vertex form, given by:

[tex]y=a(x-h)^2+k[/tex]

Where a is the leading coefficient and (h, k) is the vertex.

Rewriting our given equation yields:
[tex]\displaystyle y = (-1)(x-(0.5))^2 + (9)[/tex]

Therefore, a = -1, h = 0.5, and k = 9.

Therefore, the vertex of the graph is at (0.5 ,9).

Because the leading coefficient is negative, the parabola opens downwards.

Therefore, the parabola has a maximum value.

In conclusion, the second and fourth statements are correct.

1. the vertex is (0.5, 9)

2. it has a maximum.

Answer:

6/100x

Step-by-step explanation:

Answer:6/100x

Step-by-step explanation:

The coordinates of the inverse are (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)

The table of values is given as:

Gallons       Cost

1                      1.25

2                     2.50

5                     6.25

15                     18.75

20                    25.00

The inverse of the above table would have the following header

Cost     Gallons

When the inverse table is populated, we have:

Cost    Gallons

1.25          1

2.50        2

6.25         5

18.75        15

25.00      20

The coordinates are: (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)

Hence, the coordinates of the inverse are (1.25, 1) (2.50, 2), (6.25, 5), (18,75, 15) and (25.00, 20)

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Answer:

55°

Step-by-step explanation:

The corresponding image, which I will attach, is missing in order to solve the exercise.

We know that the flat angle is 180 °, which we know to be the one that is formed with the horizontal, therefore the following equation remains:

55 ° + (70 ° + x °) = 180 °

we solve x °

x ° = 180 ° - 55 ° - 70 °

x ° = 55 °

So the value of x is 55 °

Answer:ITS A

Step-by-step explanation:

SAS: side angle side

SSA: is not a congruence theorem

AAS:angle angle side

SSS:side side side

Answer:

The answer is A.

Step-by-step explanation:

Just took the test

Answer:

Step-by-step explanation:

We will start with the angle that measures 57 degrees. This angle is supplementary to the one next to it coming off the straight line. 180 - 57 = 123.

The rule for quadrilaterals is that same side angles are supplementary, so the angle next to the 123-degree angle (to the immediate left of that angle 123) is 57. THAT 57-degree angle is supplementary to angle b, so angle b = 180 - 57 which is 123. So C is your answer.

Answer:

do you think you can send me the work for the program

Step-by-step explanation:

i got 1 day left and im not close to finishing it please help me out please respond with any way to contact you thanks

Answer:

C = 314 m

Step-by-step explanation:

The circumference of a circle is given by

C = pi * d

Using 3.14 for pi

C = 3.14 * 100

C = 314 m

Answer:

The answer is option D.

Step-by-step explanation:

Circumference of a circle = πd

Where d is the diameter

From the question

d = 100m

Circumference of the circle is

100π

= 314.2

Which is 314m to the nearest whole number

Hope this helps you

Answer:

The correct option is (D).

Step-by-step explanation:

The two expressions are:

[tex]\text{Exp}_{1}=5x^{2}-2x-4+6x+3\\\\\text{Exp}_{2}=6x^{2}-6x+6-x^{2}+10x-7[/tex]

On simplifying both the expressions we get:

[tex]\text{Exp}_{1}=5x^{2}+4x-1\\\\\text{Exp}_{2}=5x^{2}+4x-1[/tex]

Compute the value of both expressions for x = 2 as follows:

[tex]\text{Exp}_{1}=5(2)^{2}+4(2)-1=27\\\\\text{Exp}_{2}=5(2)^{2}+4(2)-1=27[/tex]

The value of both expressions are same for x = 2.

Thus, the correct option is:

"They are equivalent because when x = 2, the two expressions have the same value."

Answer:

d

Step-by-step explanation:

Answer:

6√5

Step-by-step explanation:

We have to solve the expression [tex]\sqrt{180}[/tex]

Break 180 into its factors which are in the perfect square form.

Since, 180 = 9 × 4 × 5

                 = 3² × 2² × 5

Therefore, [tex]\sqrt{180}=\sqrt{3^{2}\times 2^{2}\times 5}[/tex]

                           = [tex]\sqrt{3^2}\times \sqrt{2^{2}}\times \sqrt{5}[/tex] [Since [tex]\sqrt{ab}=\sqrt{a}\times \sqrt{b}[/tex]]

                           = 3 × 2 × √5

                           = 6√5

Therefore, solution of the given square root will be 6√5.

Answer:

P = 0.0215 = 2.15%

Step-by-step explanation:

First we need to convert the values of 900 and 975 to standard scores using the equation:

[tex]z = \frac{x - \mu}{\sigma}[/tex]

Where z is the standard value, x is the original value, [tex]\mu[/tex] is the mean and [tex]\sigma[/tex] is the standard deviation. So we have that:

standard value of 900: [tex]z = \frac{900 - 750}{75} = 2[/tex]

standard value of 975: [tex]z = \frac{975 - 750}{75} = 3[/tex]

Now, we just need to look at the standard distribution table (z-table) for the values of z = 2 and z = 3:

z = 2 -> p_2 = 0.9772

z = 3 -> p_3 = 0.9987

We want the interval between 900 and 975 hours, so we need the interval between z = 2 and z = 3, so we just need to subtract their p-values:

P = p_3 - p_2 = 0.9987 - 0.9772 = 0.0215

So the probability is 0.0215 = 2.15%

Answer:

2.35 babyyyyyyyyyyy

Step-by-step explanation:

Acellus sux

Answer:

P(X > 112) = 0.21186.

Step-by-step explanation:

We are given that the random variable X is normally distributed, with mean [tex]\mu[/tex] = 100 and standard deviation [tex]\sigma[/tex] = 15.

Let X = a random variable

The z-score probability distribution for the normal distribution is given by;

                               Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 100

            [tex]\sigma[/tex] = standard deviaton = 15

Now, the probability that the random variable X is greater than 112 is given by = P(X > 112)

      P(X > 112) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{112-100}{15}[/tex] ) = P(Z > 0.80) = 1- P(Z [tex]\leq[/tex] 0.80)

                                                       = 1 - 0.78814 = 0.21186  

The above probability is calculated by looking at the value of x = 0.80 in the z table which has an area of 0.78814.

Answer:

A

Step-by-step explanation:

Since a coin only has two sides, the test must be referring to the fact that she has a 50, 50 shot at passing.

Answer:

$20, 533.33

Step-by-step explanation:

From the question, we are given the following values

Principal = $20000

Rate = 8% = 0.08

Time( in years) = 120days = 4 months = 4/12 years = 1/3 years

Interest = Principal × Rate × Time

Interest = 20,000 × 0.08× (1/4)

Interest = $533.33

Hence, the proceeds to Aster Corporation are

$20000 + $533.33

= $20,533.33

Answer:

u = [tex]\sqrt{6}[/tex].

Step-by-step explanation:

This is a 45-45-90 triangle.

That means that there are two side lengths with lengths of x, and a hypotenuse with a length of xsqrt(2). We can then set up a proportion.

[tex]\frac{1}{\sqrt{3} } =\frac{\sqrt{2} }{u}[/tex]

1 * u = [tex]\sqrt{3} * \sqrt{2}[/tex]

u = [tex]\sqrt{6}[/tex].

Hope this helps!

Answer:

12π inches

Step-by-step explanation:

s = rθ

s = (21) (4π/7)

s = 12π

The length of the arc will be;

⇒ Arc = 37.68 inches

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The central angle = 4π/7

And, A circle has a radius of 21 inches.

Now,

We know that in circle;

⇒ Arc = Radius × Angle

Substitute all the values, we get;

⇒ Arc = 21 × 4π/7

⇒ Arc = 3 × 4 × 3.14

⇒ Arc = 37.68 inches

Thus, The length of the arc will be;

⇒ Arc = 37.68 inches

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Answer:

All numbers greater than 5, i.e., [tex]x>5[/tex] .

Step-by-step explanation:

The given inequality is  

[tex]80x>150+50x[/tex]

Isolate variable terms on one side to find the solution.

Subtract  50x from both sides.

[tex]80x-50x>150+50x-50x[/tex]

[tex]30x>150[/tex]

Divide both sides by 30.

[tex]\dfrac{30x}{30}>\dfrac{150}{30}[/tex]

[tex]x>5[/tex]

It means, all the numbers which are greater than 5, are the solutions of the given inequality and 5 is not included in the solution set.

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = expected outcome of event/total outcome of event

Given the total amount of chocolate in a box = 39chocolates

Amount of nuts = 16

Mount of caramel = 13

Amount of solid chocolate = 10

If he randomly selects a nut chocolate and eat, the probability of selecting a nut chocolate = Amount of nuts/total chocolate in the box = 16/39

IF he selects a seconnd piece (caramel chocolate) and eat, the probability of selecting a caramel chocolate = Amount of caramel/total chocolate in the box = 13/39 = 1/3

The probability of selecting a nut chocolate followed by a caramel chocolate will be 16/39*1/3 = 16/117

Answer:

8 inches

Step-by-step explanation:

3/4+(3/4*2)=3/4+6/4=9/4=2 1/4

2 1/4+6=8 1/4=8.25

Answer: 8.25 inches

Step-by-step explanation:

Answer:

A. 770,000,000

Step-by-step explanation:

7.7x10^8 First step is to simplify

7.7x100,000,000 Then, multiply

770,000,000

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Answer:

Real interest rate= 3%

Step-by-step explanation:

Giving the following information:

Suppose you place $10,000 in a retirement fund that earns a nominal interest rate of 8 percent. The inflation rate is 5 percent.

The effect of the inflation rate on the interest rate is counterproductive. The inflation rate diminishes purchasing power.

Real interest rate= nominal interest rate - inflation rate

Real interest rate= 0.08 - 0.05= 0.03

Answer:

The inequality x < 9 or x ≥ 14 can be used to represent the hourly wage, x, of each employee at a store. Which are possible values for x? Select two options.

$8 .   YES

$9 .    HELL NO

$11 .   DEFINITLY NOT

$13 .  GET OUTTA HERE

$14 .   MMM YES

Step-by-step explanation:

Answer:

A and E or 8, 14

Step-by-step explanation:

Answer:

544 cups

Step-by-step explanation:

1 gallon consists of about 16.0047 cups, 34x16 is 544