An ice cream parlor donated 6 containers of ice cream to a local elementary school. Each container holds 3 gallons of ice cream. If each student is served 1 cup of ice cream, how many students can be served?

Answer:

Perimeter of the given patio is [tex](\pi+6)y + 10x +8[/tex].

Step-by-step explanation:

Let us first label the given patio using the points A, B, C, D, E and F as shown the attachment diagram.

Perimeter of given figure can be found by the following:  

Perimeter of polygon ABPCDEQF + Perimeter of semi-circle with diameter as EF.  

Let us mark points P and Q on sides AB and FA respectively.  

These points P and Q are just opposite to point D. Please refer to attached diagram for details.

As this figure has symmetry so, sides  

[tex]side\ AP =side\ FE\ i.e\ 2y\\side\ AQ =side\ BC\ i.e.\ 2y\\side\ PB =side\ CD\ i.e.\ 3x+5\\side\ QF =side\ DE\ i.e.\ 2x-1[/tex]

Perimeter of polygon APBCDEQF = AP + PB + BC + CD + DE + FQ + QA (Side EF is not on the periphery so it is excluded)

[tex]\Rightarrow 2y + (3x+5) + 2y + (3x+5) + (2x - 1) + (2x-1) + 2y\\\Rightarrow 6y + 10x + 8 ...... (1)[/tex]

Perimeter of semicircle = [tex]\pi \times radius[/tex]

Radius of semicircle is y.  

[tex]\text{Perimeter of semicircle = }\pi \times y ...... (2)[/tex]

Adding equations (1) and (2):  

[tex]\text{Total perimeter = }6y + 10x + 8 + \pi y \\\Rightarrow (\pi+6)y + 10x + 8[/tex]

Perimeter of the given figure is [tex](\pi+6)y + 10x +8[/tex]

Answer:

-3x + 8

Step-by-step explanation:

Simplify. combine like terms (terms with the same amount of variables).

Subtract -2x and x: -2x - x = -3x

-3x + 8 is your answer.

~

Answer:

It's b

Step-by-step explanation:

Just answered it

The given statement  P(z < −2.1)  is equivalent to the expression 1 – P(z < 2.1). Option B is correct.

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

here, z = x - μ / σ

where, μ = mean and σ = standard deviation

Here,
P(z < −2.1)
By the property of the Z score,

P(z < −2.1) = 1 – P(z < 2.1)

Thus, the given statement  P(z < −2.1)  is equivalent to the expression 1 – P(z < 2.1).

Learn more about the z-score here:

brainly.com/question/13793746

#SPJ2

Answer:

Step-by-step explanation:

This problem is about our wet clothe, when we put it under the Sun to dry.

Notice that the clothe is wet at the beginning, but after a certain time, it gets dry. This phenomenon is beacuse the change of the state of the water inside the clothe.

You see, at the beginning, the water is in liquid state making the wet effect, then that water transforms into vapor, makign the dry effect.

Therefore, the answer is "liquid water to vapor water", that's the change.

Answer:

a similartity is we both are questioners

Step-by-step explanation:

Answer:

The correct option is Sometimes.

Step-by-step explanation:

Volume refers to the amount of three-D space that a liquid, a solid or a gas, occupies. Some of the most commonly used units of volume are cubic meters, liters, millilitres and cubic centimetres.

Whereas, capacity refers to the capability to hold or absorb something. It is similar in theory to volume, but there are little dissimilarities.  

Consider the example below:

So, the capacity of a container can be or cannot be less than the volume.

Thus, the correct option is Sometimes.

Answer:

X=102 y=288 =390

Step-by-step explanation:

X=50+32=82=180-82=102

Y= 50+32=82=360-82=288

Total answer is =390

Answer:The first graders began to count, naming each integer up to 100.

Step-by-step explanation:

Answer:

one of the positive or negative numbers 1, 2, 3, etc., or zero.Compare whole number.

Step-by-step explanation:

Answer:

The surface area is 1,580.99 in²

Step-by-step explanation:

Known :

Diameter (d) = 19 in

Height (h) = 17 in

Asked :

Surface Area (Sa) = ...?

Answer :

Radius (r) = ½ d = ½ × 19 = [tex] \frac{19}{2} [/tex] = 9,5 cm

Tube Surface Area Formula :

= [tex] \boxed{\bold{\pi d (r + h)}} [/tex]

= 3.14 × 19 × (9,5 + 17)

= 59.66 × 26.5

= 1,580.99 in²

So, the surface area is 1,580.99 in²

#CMIIW ^^

Answer:

-2(x + 1)(x + 6)  

Step-by-step explanation:

Please use " ^ " to denote exponentiation:  -2x^3-14x^2 - 12x

Note that all three terms are evenly divisible by -2x, leaving the quotient x^2 + 7x + 6.  

This quotient is also easily factored:

-2x^3-14x^2 - 12x = -2(x^2 + 7x + 6)  =  -2(x + 1)(x + 6)  

Answer:

Compound probability is equal to the probability of the first event multiplied by the probability of the second event.

Step-by-step explanation:

Answer:

No, because the volume of the cone is greater than the volume of the ice cream scoop.

Step-by-step explanation:

To solve this problem we just need to compare the volume of the ice scream scoop with the volume of the ice cream cone.

The ice scream scoop is a sphere with a diameter of 2 inches (so a radius of 1 inch), then the volume is:

V = (4/3) * pi * r^3

V = (4/3) * pi * 1^3

V = 4.1888 in3

Now, to find the volume of the ice cream cone, we just need to use the formula of the cone volume (with radius = 1 inch):

V = (1/3) * pi * r^2 * h

V = (1/3) * pi * 1^2 * 5

V = 5.236 in3

As the volume of the cone is greater than the volume of the ice cream scoop, the ice cream will not spill over the cone after melting.

Answer:

0.80A + 0.92B = 63 .....1

A + B = 75 ......2

Step-by-step explanation:

Let A and B represent the total possible score in part A and B respectively;

Analysing each sentence of the question;

Sam scored 80% on Part A of a math test and 92% on part B of the math test. His total mark on the test was 63

80% of A + 92% of B = 63

0.80A + 0.92B = 63 ......1

The total possible marks for the test was 75;

A + B = 75 .....2

So, equation 1 and 2 provides a set of simultaneous equations that can be used to represent and solve the situation.

Solving the simultaneous equations, we will arrive at;

Part A = 50

Part B = 25

Answer:

3(p+1)²-7

Step-by-step explanation:

(5p² - 3p + 4) - (2p² - 9p + 8) =3p²-12p-4=3(p+1)²-7

Answer:

[tex]3p^2+6p-4[/tex]

Step-by-step explanation:

[tex](5p^2-3p+4)-(2p^2-9p+8)[/tex]

Now, combine like terms.

[tex](5p^2-2p^2)+(-3p+9p)+(4-8)[/tex]

[tex]3p^2+6p-4[/tex]

Answer:

157.6 ml of sweet condensed milk

Step-by-step explanation:

The ratio of heavy whipping cream to sweet condensed milk is a 3:1 ratio

Answer:

42.50 = 8.50p

Solution of the equation : p = 5

The can buy 5 pizza.

Step-by-step explanation:

Given;

Total cost allocated for buying pizza C = $42.50

Cost of one pizza c = $8.50

Number of pizza they can buy = p

This can be expressed in an equation as;

Total cost = cost per pizza × number of pizza

C = pc

Substituting the values of C and c;

42.50 = 8.50p

We can solve the derived equation for p;

p = 42.50/8.50

p = 5

Answer:

The probability is 5/14

Step-by-step explanation:

Here, we are to calculate/estimate a probability

Firstly , we need to know the total number of caps

we have 5 bill caps and 3 beanies.

Total number of caps = 5 + 3 = 8 caps

The probability of picking the first bill cap is 5/8

Now after removing this and not replacing, we have 4 bill caps left and 3 beanies

Total cap remaining is 7 caps while the probability of picking a bill cap now is 4/7

The combined probability is thus 5/8 * 4/7 = 5/14

Answer:

6a-18

Step-by-step explanation:

multiply by 6

6a-(6×3)

6a-18

=6a-18

Answer:

∠ABC = 100°

∠ADF = 100°

Step-by-step explanation:

(8x + 4)° = (10x - 20)°

(2x)° = 24°

x = 12°

Compute, knowing that x = 12°

8x + 4 = 8 · 12 + 4 = 100°

10x - 20 = 10 · 12 - 20 = 100°

Answer:

Step-by-step explanation:

Given the expression

3x + 2 = 4x + 5

1. The smaller coefficient of x is 3

to remove the smaller coefficient

we need to add - 3x to both sides

3x +2 + (-3x) = 4x +5 (-3x)

3x + 2 - 3x = 4x + 5 - 3x

Collecting like terms we have

3x-3x+2= 4x-3x+5

2 = x+ 5

2. The constant on the right side is

5,to remove the constant from the right side of the equation we need to add - 5 to both sides

3x + 2+ (- 5) = 4x + 5 +(-5)

3x+ 2-5 =4x +5-5

3x-3 = 4x

Answer:

C is the correct answer. F(x) = -[tex]x^{3}[/tex]

Answer:

point S

Step-by-step explanation:

mooo! hope this helps

Answer:

Using a Graphing Calculator like Desmos, we can figure this out.

Here is what is should look like:

Answer:

2 4 and 5

Step-by-step explanation:

took it and got it right

Answer:

The Answers Are 2, 4, and 5

Step-by-step explanation:

Which statements describe analogous structures? Check all that apply.  

Analogous structures indicate a common ancestor.

Analogous structures do not indicate a common ancestor.

Analogous structures have the same structure, but may have a different function.

Analogous structures have the same function but a different structure.

An example of an analogous structure is the wing of a bat and a butterfly.

An example of an analogous structure is the forelimb of a human, a dog, and a whale.

Answer:

[tex]V=8,448u^3[/tex]

Step-by-step explanation:

The volume of a prism is given by:

[tex]V=A_{b}*h[/tex]

where [tex]A_{b}[/tex] is the area of the base, and [tex]h[/tex]  is the height of thr prism.

We know that the height is:

[tex]h=22[/tex]u

and the bases of this prism are hexagons.

Thus the area of the base is the area of a regular hexagon:

[tex]A_{b}=\frac{n*l*a}{2}[/tex]

where [tex]n[/tex] is the number of sides: for an hexagon: [tex]n=6[/tex]

[tex]l[/tex] is the length of each side: [tex]l=8[/tex]u,

and [tex]a[/tex] is the apothem: [tex]a=16u[/tex]

we substitute all of this to find the area of the base:

[tex]A_{b}=\frac{6*8u*16u}{2}\\ \\A_{b}=\frac{768u^2}{2}\\ \\A_{b}=384u^2[/tex]

and finally we use the formula for the volume:

[tex]V=A_{b}*h[/tex]

we get the following:

[tex]V=384u^2*22u\\V=8,448u^3[/tex]

which is the third option

Answer:

p = 3, p = 5

Step-by-step explanation:

Express 150 as a product of prime factors, that is

150 = 2 × 3 × 5 × 5

Thus 2 odd factors of 150 are 3 and 5

The possible values of p are 3 and 5

Answer:

0

Step-by-step explanation:

if I'm correct it's 0 because when you do all of the math that's what it came out to

If something isn't clear or you're still confused about, let me know in the comments.

Step-by-step explanation:

Okay, here's my best try.

Suppose you have a bill for $8.45

If you are asked to add, say, 8% tax, you must calculate 8 percent of 8.45 and then add it to 8.45.

Begin by converting 8% to decimals by dividing by 100.

[tex]\frac{8}{100}=0.08[/tex] 8% is 0.08 in decimal form.

To calculate a percentage of a number, you multiply the decimal percent by the number; example:

[tex]0.08(8.45)[/tex] 8.45 is being multiplied by 0.08. The result is: 0.676. (this is the tax; however you have to round up to two decimal places: $0.68)

After finding the tax amount, if you are asked to add it to the bill, you have to add it to the original bill; in this case, $8.45

This would be: 0.68+8.45=9.13.

Therefore, the total bill after tax is for $9.13

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With tips is the same thing, however, you can have 2 situations.

Situation 1: You are asked to calculate 15% tip of total bill.

In this situation, you can do the same we do to calculate tax.

Convert the percentage to decimal by dividing by 100.

[tex]\frac{15}{100}=0.15[/tex]

and multiply it by the original bill.

[tex]0.15(8.45)=1.2675[/tex]. Rounding up, this would be $1.27 for tip.

If you were to add it to the original bill, simply sum.

[tex]8.45+1.27=9.72[/tex]

The total bill after tips is for $9.72

Situation 2: You are asked to calculate 15% tip of the total bill with a tax of 8% included.

In this situation, you must first calculate the total bill with the tax added, like we did above; we got a bill for $9.13 (Tax included)

Then you can calculate 15% tip of this new bill that has tax included.

Convert

[tex]\frac{15}{100}=0.15[/tex]

Multiply by the new bill (because this is the one that includes tax)

[tex]0.15(9.13)=1.3695[/tex] Round up.... $1.37 for tips.

If you are asked to give a total amount of money including tax and tips, add this to the bill.

9.13+1.37=10.50

This bill would be for $10.50

Answer:

Whats the question?

Step-by-step explanation:

Answer:

i need a queastion to answer this..

Step-by-step explanation:

Answer:

a) La medida de la barda que está enfrente del ángulo 64° es de, aproximadamente, 6.4292m. b) El triángulo en cuestión no es un triángulo rectángulo, es decir, ninguno de sus ángulos internos es recto (90 grados sexagesimales). En estos casos, no se puede aplicar el Teorema de Pitágoras o la simple utilización de las razones trigonométricas; se aplican, en cambio, leyes para la resolución de triángulos oblicuángulos (o triángulos no rectángulos).

Step-by-step explanation:

Este problema no se puede resolver "aplicando sólo las razones trigonométricas o el teorema de Pitágoras" porque es sólo aplicable a triángulos rectos, es decir, uno de los ángulos del triángulo es recto o igual a 90 grados sexagesimales. Los dos restantes triángulos suman 90 grados sexagesimales, o se dice, son complementarios.

La resolución de triángulos que no son rectos (conocida en algunos textos como solución de problemas de triángulos oblicuángulos) pueden resolverse usando, la ley de los senos (o teorema del seno), ley de los cosenos y la ley de las tangentes. El caso propuesto en la pregunta se ajusta a la ley de los senos:

[tex] \\ \frac{a}{\sin(\alpha)} = \frac{b}{\sin(\beta)} = \frac{c}{\sin(\gamma)}[/tex]

Es decir, la razón entre el lado de un triángulo y el seno del ángulo que tiene frente a él es igual para todos los lados y ángulos del triángulo.

El triángulo de la pregunta no tiene un ángulo recto

La suma de los ángulos internos de un triángulo es de 180 grados sexagesimales:

[tex] \\ \alpha + \beta + \gamma = 180^{\circ}[/tex]

En la pregunta tenemos que la suma de los dos ángulos propuestos es:

[tex] \\ 34^{\circ} + 64^{\circ} + \gamma = 180^{\circ}[/tex]

[tex] \\ 98^{\circ} + \gamma = 180^{\circ}[/tex]

Restando 98 grados sexagesimales a cada lado de la igualdad:

[tex] \\ 98^{\circ} - 98^{\circ} + \gamma = 180^{\circ} - 98^{\circ}[/tex]

[tex] \\ 0 + \gamma = 180^{\circ} - 98^{\circ}[/tex]

[tex] \\ \gamma = 82^{\circ}[/tex]

Con lo que se deduce que no hay ningún ángulo recto en el triángulo propuesto y no se podría usar el Teorema de Pitágoras o simples razones trigonométricas para resolverlo.

Resolución del lado del triángulo

De la pregunta tenemos:

Digamos que:

[tex] \\ a = 4m, \alpha = 34^{\circ}[/tex]

[tex] \\ b = x, \beta = 64^{\circ}[/tex]

Entonces, aplicando la Ley de los senos:

[tex] \\ \frac{a}{\sin(\alpha)} = \frac{b}{\sin(\beta)}[/tex]

Multiplicando a cada lado de la igualdad por [tex] \\ \sin(\beta)[/tex]

[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = \frac{b}{\sin(\beta)}*\sin(\beta)[/tex]

[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = b*\frac{\sin(\beta)}{\sin(\beta)}[/tex]

[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = b*1[/tex]

[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = b[/tex]

Sustituyendo cada valor en la expresión anterior:

[tex] \\ b = \frac{a}{\sin(\alpha)}*\sin(\beta)[/tex]

[tex] \\ b = \frac{4m}{\sin(34^{\circ})}*\sin(64^{\circ})[/tex]

[tex] \\ b = 4m*\frac{0.8988}{0.5592}[/tex]

[tex] \\ b = 6.4292m[/tex]

En palabras, la medida de la barda que está enfrente del ángulo 64° es de, aproximadamente, 6.4292m.

El lado c puede obtenerse de manera similar considerando que [tex] \\ \gamma = 82^{\circ}[/tex].