Movie tickets for 2 adults and 3 children cost $44.50. Tickets for the same movie cost $25.50 for 1 adult and 2 children. (a) Let a represent the cost of a ticket for an adult and c represent the cost of a ticket for a child. Write a system of equations that can be used to find a and c. (b) What is the total cost of tickets for 1 adult ticket and 1 child ticket?

Work Shown:

area of base = 18*17 = 306 square yards

V = volume of pyramid

V = (1/3)*(area of base)*(height)

V = (1/3)*(306)*(15)

V = 1530 cubic yards

Answer:1530

Step-by-step explanation: length*width*height* divided by 3

Answer:

b

Step-by-step explanation:

trust me

Answer:

A

Step-by-step explanation:

Answer:

The mean and variance are known as the parameters of a distribution.

Step-by-step explanation:

The mean and the variance are parameters of a distribution. Parameters are constantly estimated in Statistics using samples of values of a population because they are often unknown.

They characterize a quantitative aspect of a probability distribution, and completely determined the distribution. For example, in the normal distribution, the mean, [tex] \\ \mu[/tex],  and the variance, [tex] \\ \sigma^{2}[/tex], determined this distribution.

Most of the time, the standard deviation, [tex] \\ \sigma[/tex], is more used than the variance because is in the same units that the mean.

In this way, we can say that these parameters "tell us" where the central point of the distribution is (this is the case for the mean), and also, how spread the values of a probability distribution are (the case for variance or the standard deviation).

Answer:

2 hours

Step-by-step explanation:

Let's denote the amount of time we need to find out, t.

=> 600 + 50t < 500 + 100t

or 600 - 500 < 100t - 50t

or 100 < 50t

or 100/50 < t

or t > 2

=> After 2 hours, company B will be cheaper option than company A

Answer:

Step-by-step explanation:

According to Question,

[tex] {x}^{2} = 46[/tex]

Squaring on both sides

[tex] \sqrt{ {x}^{2} } = \sqrt{46} [/tex]

Calculate

[tex]x = 6.79[/tex]

Let's check :

If we multiply 6.79 by itself, then the result will be approximately 46.

Hope this helps..

Best regards!!

Answer:

y=10 ( number of acrobat)

Step-by-step explanation:

let x be the elephant and y the acrobat

elephant has 4 legs and acrobat 2

4x+2y=40

x+y=15  ⇒x=15-y

substitute for x in the equation:

4(15-y)+2y=40

60-4y+2y=40

-2y=40-60

y=-20/-2

y=10 ( number of acrobat)

number of elephant=15-10=5 elephants

Answer:

23.75

Step-by-step explanation:

IM GANNA HELP FOR THE SECOND ONE CUZ THE FIRST QUESTION DOESNT HAVE SOME VALUES AND THE THIRD IS KINDA HARD

BUT I HOPE I HELPED

the question:

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. At the farmers market, Nathaniel buys two dozen oranges at $3.50 per dozen, four kilograms of apples at $3.25 per kilogram, two kilograms of carrots at $1.90 per kilogram, and one kilogram of potatoes for $1.20. He received a 5% discount off his total bill. How much money did Nathaniel spend on fruits and vegetables at the farmers market? Nathaniel spent $______ at the farmers market.

nathaniel got 2 dozen so 7$ for the oranges

4 kg  so 13$ for apples

2 kg so 3.8$ for carrots

1 kg so 1.2$ for potatoes

LETS ADD IT TOGETHER

25$ TOTAL

DISCOUNT=5%

5% OF 25 IS 1.25

SO 25-1.25=23.75

SO NATHANIEL SPENT 23.75$ IN ALL

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

  ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                 PEACE!

Answer:

See the answer below.

Step-by-step explanation:

We know that:  [tex]d=S\times t[/tex]

So, using the given data, we can write an equation for the total distance travelled as:

[tex]3\times S+4\times (S+10)=335\\\\\Rightarrow S\approx 42.1\:Km/h[/tex]

Best Regards!

Answer:

The additional information required to prove ΔDEF ~ ΔPQR is the value of the ratio DE/PQ which has to be equal to three-halves for ΔDEF to be similar to ΔPQR

Step-by-step explanation:

Given DF/PR = FE/RQ = 3/2

The Side Side Side,  SSS, similarity theorem states that where there are two triangles that have corresponding sides that are proportional to each other, the two triangles are said to be similar

Given ΔDEF and ΔPQR, have sides DF/PR = FE/RQ, to prove that ΔDEF and ΔPQR, then the additional information required is the ratio of the third sides of the triangles which is DE/PQ.

If DE/PQ = Three-halves, the two triangles ΔDEF and ΔPQR are similar, if not, that is DE/PQ ≠ Three-halves, then the two triangles ΔDEF and ΔPQR are not similar.

Answer:

D: DE/PQ = 3/2

Step-by-step explanation:

Did it on edge 2020

Answer:

21 2

Step-by-step explanation:

Answer:

21, 2 aka option A

Edge 2020

The largest x that satisfies

[tex]3x^2+17x+15=5[/tex]

is the largest solution to

[tex]3x^2+17x+10=0[/tex]

We have

[tex]3x^2+17x+10=(3x+2)(x+5)=0[/tex]

[tex]\implies x=-\dfrac23\text{ or }x=-5[/tex]

and so the largest value of x we want is -2/3.

A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)

In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.

Answer:

C

Step-by-step explanation:

Before expressing as a ratio the quantities must have the same denomination

$2 = 200 cents, thus

40 cents : $2

= 40 cents : 200 cents ( divide both parts by 40 )

= 1 : 5 → C

Answer:

36 : 6 and -6

12 = [tex]2\sqrt{3} , -2\sqrt{3}[/tex]

1.96 =1.4 and -1.4

0.64 : 0.8 and -0.8

400 : 20 and -20

25/36 = 5/6 and -5/6

Step-by-step explanation:

we know that

(-x)^2 = x^2

ALSO

(x)^2 = x^2

thus, square of both negative and positive number is same positive number.

_________________________________________________

36 = 6*6

36 = -6*-6

hence

square roots of 36 is both -6 and 6

12 = 4*3 = [tex]2^2*\sqrt{3} *\sqrt{3}[/tex]

[tex]\sqrt{12} = 2\sqrt{3}[/tex]

also

12 = [tex]-2\sqrt{3} *-2\sqrt{3}[/tex]

[tex]\sqrt{12} = -2\sqrt{3}[/tex]

___________________________________

1.96 = 196/100 = (14/10)^2

1.96 = 196/100 = (-14/10)^2

hence

[tex]\sqrt{1.96} = 14/10 \ or -14/10[/tex]

_______________________________

0.64 = 64/100 = (8/10)^2 = 0.8^2

0.64 = 64/100 = (-8/10)^2 = (-0.8)^2

Thus, square root of  0.64 = 0.8 and -0.8

_________________________________

400 = 20^2

400 = (-20)^2

[tex]\sqrt{400} = 20\\\sqrt{400} = -20\\[/tex]

__________________________________

25/36 = (5/6)^2

25/36 = (-5/6)^2

[tex]\sqrt{ 25/36} = 5/6 \\\sqrt{ 25/36} = (-5/6[/tex]

Answer:

x>4

Step-by-step explanation:

x+3>19-3x

x+3x>19-3

4x>16

x>4

Answer:

x > 4

Step-by-step explanation:

Solution set:

Solution set as set builder notation:

Answer: 4^3

(Four cubed or Four to the power of 3)

Step-by-step explanation:

Answer:

260%

Step-by-step explanation:

For the coffee;

cost price ([tex]C_{P}[/tex]) = $5/kg

selling price ([tex]S_{P}[/tex]) = $18/kg

Percentage profit (%P) = [tex]\frac{S_P - C_P}{C_P} * 100%[/tex] %

Substitute the right values into the above;

%P = [tex]\frac{18 - 5}{5} * 100%[/tex] %

%P = [tex]\frac{13}{5} * 100%[/tex] %

%P = 260%

Therefore, the percentage profit compared to the original cost of the coffee is 260%

Answer:

[tex] y = 9.1 [/tex]

Step-by-step explanation:

Use the Law of sines to find y in ∆WXY, given:

m < Y = 106°

m < X = 58°

WY = x = 8

WX = y = ?

Therefore,

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

[tex] \frac{y}{sin(106)} = \frac{8}{sin(58)} [/tex]

[tex] \frac{y}{0.961} = \frac{8}{0.848} [/tex]

[tex] \frac{y}{0.961} = 9.434 [/tex]

Multiply both sides by 0.961 to solve for y

[tex] \frac{y*0.961}{0.961} = 9.434*0.961 [/tex]

[tex] y = 9.434*0.961 [/tex]

[tex] y = 9.1 [/tex] (to nearest tenth)

Answer:

[tex] A = 350\pi \approx 1100 [/tex]

Step-by-step explanation:

The shaded area is a sector with a central angle of 45 deg.

The total measure of the central angle of a full circle is 360 deg.

The central angle of the unshaded sector is

360 deg - 45 deg = 315 deg

The area of a sector of a circle with a central angle of n degrees and a radius r is

[tex] A = \dfrac{n}{360}\pi r^2 [/tex]

[tex] A = \dfrac{315}{360}\pi \times 20^2 [/tex]

[tex] A = 350\pi \approx 1100 [/tex]

Answer:

Hey there!

On on a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = -3, and the second line has y-intercept = 2 and slope =  1.

Hope this helps :)

To find the vertex, you need to find the axis of symmetry first.

In order to find the axis of symmetry we have to do -b/2a.

In our case, the b is -8 and the a is 1.

Plug it in.

-(-8)/2(1)

8/2 = 4

Our axis of symmetry is 4.

Now, we plug it into the equation to find the rest of the vertex.

y = 4^2 - 8(4) + 1

y = 16 - 32 + 1

y = -16 + 1

y = -15

Put it together.

Our vertex is (4,-15).

Answer:

$3,500

Step-by-step explanation:

First, Lets analyze the problem.

LeBron buys 500 shares for $10 a share. So he buys 500 shares for $5,000.

Now the price drops to $3, he had 500 stocks, the stocks are now only worth $1500.

5000-1500=3,500

He has lost $3,500 in the Tiger Corporation shares.

Answer:

Option B

Step-by-step explanation:

As shown in the picture, g(x) is the red one which can be obtained by translating f(x) - the blue one toward +x-axis direction 4 units.

=> g(x) = f(x) + 4 = |x| + 4

Answer: Choice D

g(x) = |x-4|

=================================================

Explanation:

Replacing x with x-4 shifts the xy axis four units to the left. If we fix the blue V shape to not move while the xy axis does move, then it gives the illusion of the V shape moving 4 units to the right to end up producing the red curve.

You can use a table of values to compare the two functions or you could use a graphing tool to confirm the answer.

--------

Extra info:

Choice A will move the blue graph 4 units down

Choice B will move the blue graph 4 units up

Choice C will move the blue graph 4 units to the left

Answer:

A = 105 inches^2

Step-by-step explanation:

The area of the parallelogram is

A = bh

A = 7 inches * 15 inches

A = 105 inches^2

Finding the area of a parallelogram is very similar to finding the area to that of a rectangle.

The equation for area A is [tex]A=bh[/tex] where b is the base length and h is the height.

We are given a base length of 15 inches, and the height of the parallelogram is 7 inches (not 9 inches).

[tex]A=(15 \text{ in})(7 \text{ in})\\[/tex]

[tex]=105 \text{ in}^2[/tex]

The area of the parallelogram is 105 square inches. Let me know if you need any clarifications, thanks!

Answer:

2.625 cups or 21 ounces

Step-by-step explanation:

Ava needs 3/4 cup of blue paint for every 1 cup of white paint. So, the ratio is 0.75 : 1.

She has 28 ounces of white paint. But, you have to convert ounces to cups.

1 cup = 8 ounces

28 ounces ÷ 8 ounces/cup = 3.5 cups

Now set up a ratio.

[tex]\frac{0.75}{1} = \frac{x}{3.5}[/tex]

X (how much blue paint is needed) is over 3.5 cups (the amount of white paint she has)

Cross multiply and divide.

[tex]\frac{0.75}{1} = \frac{x}{3.5}[/tex]

x = 0.75 × 3.5

x = 2.625 cups

To convert to ounces, multiply by 8.

2.625 cups × 8 ounces = 21 ounces

Therefore, Ava needs 2.625 cups or 21 ounces of blue paint.

Hope that helps.

Answer:

The length of arc is (7/12)π cm.

Step-by-step explanation:

Given that the formula to find the length of arc is Arc = (θ/360)×2×π×r where θ represents degrees and r representa radius. Then you have to substitute the following values into the formula :

[tex]arc = \frac{θ}{360} \times 2 \times \pi \times r[/tex]

[tex]let \: θ = 30 \\ let \: r = 3.5[/tex]

[tex]arc = \frac{30}{360} \times 2 \times \pi \times 3.5[/tex]

[tex]arc = \frac{1}{12} \times 7 \times \pi[/tex]

[tex]arc = \frac{7}{12} \pi \: \: cm[/tex]

Answer: $77.84

Step-by-step explanation:

First multiply 8.5*6 to get 51.  Thus, she made 51 dollars from her first job.

Then multiply 9.21*4 to get 26.84.  Thus, she made 26.84 dollars from her second job.

Then add her first and second jobs(51+26.84) to get $77.84

Hope it helps <3

[tex]\text{Solve:}\\\\1 < x + 3 < 4\\\\\text{Subtract 3 from all 3 sides}\\\\-2<x<1\\\\\boxed{-2<x<1}[/tex]

Answer:

The third option is correct

Step-by-step explanation:

We can rule out the first option because systems of equations CAN have decimal answers (this certain question cannot because of the domain) Same for the second option.

The last option says that all the numbers of forks knives and spoons must be equal but the question never specified that, in fact it looks like that is impossible since the variables have different coefficients.

The only logical answer is number 3