x= degrees 32° x x

Answer:

3

Step-by-step explanation:

use the pythagoreum therory

Question 1 Answer:

Aunt 1 and Grandma 1 would fill gift bags.

Mom and Aunt 2 would make centerpieces.

You and Grandma 2 would blow up balloons.

Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.

Question 2 Answer:

We use algebra and our previous pairings to determine the length of each task.

Gifts Bags --> 6/7 hours

x = time together

[tex]\frac{1}{x}[/tex] = rate of completion

Aunt 1 = [tex]\frac{1}{1.5}[/tex] Grandma 1 = [tex]\frac{1}{2}[/tex]

[tex]\frac{2}{3} +\frac{1}{2} = \frac{1}{x}[/tex]

[tex]\frac{7}{6} = \frac{1}{x}[/tex]

[tex]x = \frac{6}{7}[/tex]

Centerpieces --> 7/4 hours

x = time together    [tex]\frac{1}{x}[/tex] = rate of completion

Mom = [tex]\frac{1}{3.5}[/tex] Aunt 2 = [tex]\frac{1}{3.5}[/tex]

[tex]\frac{2}{7} + \frac{2}{7} = \frac{1}{x}[/tex]

[tex]\frac{4}{7} = \frac{1}{x}[/tex]

[tex]x = \frac{7}{4}[/tex]

Balloons --> 15/16 hours

x = time together    [tex]\frac{1}{x}[/tex] = rate of completion

You = [tex]\frac{1}{1.5}[/tex] Grandma 2 = [tex]\frac{1}{2.5}[/tex]

[tex]\frac{2}{3} + \frac{2}{5} = \frac{1}{x}[/tex]

[tex]\frac{16}{15} = \frac{1}{x}[/tex]

[tex]x = \frac{15}{16}[/tex]

Shortest amount of time to complete all tasks is:

[tex]\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}[/tex]  ≈ 3.54 hours

Converting hours to hours and minutes --> 3 hours 32 minutes

Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.

Answer:

no

Step-by-step explanation:

no

Yes

since the hypotenuese will be forty

24×24=576

32×32=1024

1024+576=1600

√40=1600 which makes YES be the correct answer

Answer:

736 in^2

Step-by-step explanation:

To find the surface area of a rectangular prism, the formula is perimeter(of one base)*height + area of two bases.

If you plug in the numbers according to this problem, that is (52*8) + 160(2)

SA = 736

Answer:

166,649.

Step-by-step explanation:

49

∑ (2n + 1)^2 =    4∑n^2 + 4∑n + 49

0

=  (4/6)n(n +1)(2n + 1) + 4/2 n(n + 1) + 49

=  2/3 * 49* 50 *99 + 2*49*50 + 49

= 161700 + 4900 + 49

= 166649

Answer:

Step-by-step explanation:

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

Explanation:

The figure is an unfolded version of a pyramid, so it's placed as flat as possible.

The square in the middle has area of 7*7 = 49 square meters. This is the base or floor of the pyramid.

Each triangle has area of base*height/2 = 7*5/2 = 35/2 = 17.5 square meters. Four such identical triangles combine to an area of 4*17.5 = 70 square meters. This is the lateral surface area, which is everything but the base.

So the total surface area is

BaseArea + LateralSurfaceArea = 49+70 = 119 square meters

Answer:

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 3

Step-by-step explanation:

the coordinates of the points are

(1, - 6 ), (2, - 3 ), (3, 0 ), (4, 3 ), (5, 6 )

consider the values of y

- 6, - 3, 0, 3, 6

there is a common difference between consecutive terms, that is

- 3 - (- 6) = 0 - (- 3) = 3 - 0 = 6 - 3 = 3

this indicates the sequence is arithmetic with recursive rule

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + d ( d is the common difference )

here d = 3 , then recursive formula is

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 3 ; with a₁ = - 6

Answer:2.4 isn’t occupied, whilst 13.3 is full

Step-by-step explanation: answerrr

The total number of people attending the game is 1700.

Percentage in simple terms can be defined as a part per 100.

Percentage is a ratio or number which has to be defined as a fraction of 100.It is denoted by %.

If we are asked to calculate the percent of a number simply divide it by the whole part or number and then multiply with 100.

Percent of people supporting the home team = 92%

Number of people supporting the home team = 1564

Let x be the total number of people attending the game.

⇒ [tex]\frac{1564}{x}[/tex] × 100 = 92

⇒ [tex]\frac{1564}{x}[/tex] = 0.92

⇒ x = [tex]\frac{1564}{0.92}[/tex]

⇒ x = 1700

Hence, the total number of people attending the game will be 1700.

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Answer:

Below in bold.

Step-by-step explanation:

Area of a kite = 1/2 * D1 * D2   were D1 and D2 are the 2 diagonals

D1  = 5 + 2.5 = 7.5 and D2 = 2*44444.5 = 9

So area = 1/2 * 7.5 * 9

= 33.75.

Answer:

33.75 Ft

Step-by-step explanation:

(5*4.5)/2+(5*4.5)/2+(4.5*2.5)/2+(4.5*2.5)/2

The respiratory system and the cardiovascular system are intertwined in the sense that the  respiratory system provides oxygen used in the cardiovascular system.

The respiratory system is the syetem that coordinates gaseous exchange in the body while the cardiovascular system is the system that deals with the circulation of gases in the body.

The cardiovascular system and the respiratory system work together in the following ways;

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There are 160 students in seventh grade.  Divide the partial amount by the percentage of the partial amount to get the total amount.

A percentage is a number or ratio that is expressed as a fraction of one hundred. The percent sign, "%," is commonly used, but the abbreviations "pct.", "pct," and sometimes "pc" are also used. A percentage is a number with no dimensions; it has no unit of measurement.

A total is the result of adding several numbers together or counting how many items there are in a group. The total number or cost of something is the total number or cost obtained by adding or counting all of its parts.

Percentages can also be expressed as decimals or fractions, such as 0.6%, 0.25%, and so on. Academic marks are calculated in terms of percentages for any subject.

To Find the Total Amount :

No. of student in seventh grade = 8/5 * 100 = 160

So, there are 160 students in seventh grade.

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Answer:

23/42 or 0.547619048

Steps are given below in the picture

I hope my answer helps you.

Answer:

1st option

Step-by-step explanation:

Check out the attached photo

Answer:

x < 15

Step-by-step explanation:

1)  Regroup terms.

⇒ x - 50 < - 35

2) Add 50 to both sides.

x < - 35 + 50

3) Simplify - 35 + 50 to 15.

x < 15

Answer:

x < 15

Step-by-step explanation:

-50 + x < -35

+50          +50

________________

x < 15

Hope this helps :)

Answer: wheres the table

Step-by-step explanation:

Answer:

A. 42.59

B. 37.155

Step-by-step explanation:

I used a round calculator by the way

Answer:

C

Step-by-step explanation:

pls tell me if im right or wrong

Answer:

Step-by-step explanation:

Equation: y = 20x

y = # of gallons

x = minutes

6.

So, you substitute (0, 1, 2, 3 and 4 minutes) for x, to find the number of gallons:

x = 0 mins:

y = 20x

y = 20(0)

y = 0 gallons

(0, 0)

x = 1 min.

y = 20x

y = 20(1)

y = 20 gallons

(1, 20)

x = 2 mins.

y = 20x

y = 20(2)

y = 40 gallons

(2, 40)

x = 3 mins.

y = 20x

y = 20(3)

y = 60 gallons

(3, 60)

x = 4 mins.

y = 20x

y = 20(4)

y = 80 gallons

(4, 80)

7. View the attached graph

8. Predict the amount of water in the tank after 6 mins.

We use the same equation, y = 20x for this question

y = 20x

y = 20(6)

y = 120 gallons

(6, 120)

8. Linear ==> straight line

   Non-linear ==> anything other than a straight line (curved line)

As you can see from my attached graph, the relationship between x and y and linear, because the graph has a straight line.

Hope this helps!

Answer:

sorry but I actually don't know about it sorty

Answer:

460 miles/hour

Step-by-step explanation:

Distance = Speed x Time

We want the Speed, so let's rearrange the equation:

Speed = Distance/Time

We are given Distance = 2070 miles

and Time of 4.5 hours

Speed = (2070 miles)/(4.5 hours)

Speed = 460 miles/hour

Answer:

D. 15(4a + 3)

Step-by-step explanation:

15 is the least possible factorisation for both sides, therefore D is the most efficient on of all of them

Using the GCF and Distributive property, the expression can be factorized as, d. 15 (4a + 3).

GCF is the abbreviated form for Greatest Common Factor.

As the name suggests, GCF of two or more numbers or expressions is the greatest of all the common factors of them.

The given expression is 60a + 45.

Distributive property for 3 numbers, a, b and c states that,

a (b + c) = ab + ac

There are two terms here 60a and 45.

We can find the GCF using Prime factorization.

60 = 2 × 30

     = 2 × 2 × 15

     = 2 × 2 × 3 × 5

45 = 3 × 15

    = 3 × 3 × 5

Common factors are 3 and 5.

GCF = 3 × 5 = 15

60a + 45 = (15 × 4a) + (15 × 3)

               = 15 (4a + 3)    [Using the distributive property]

Hence the factorized form is 15 (4a + 3)  

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Step-by-step explanation:

12x - y = 1

slope of m1 = - coefficient of x / coefficient of y

                    = - 12 / -1

                    = 12

# when it is parallel;

m1 = m2

12 = m2

# when it is perpendicular;

m1 * m2 = -1

12 * m2 = -1

m2 = -1 / 12

Answer:

50²-30²=x²

2500-900=1600

√1600= 40

x=40

4 units

hope it helps...!!!

Answer:4 units

8-4=4 wham bam yes ma'am

Step-by-step explanation:

Un diagrama de sectores se puede utilizar para todo tipo de variables, pero se usa frecuentemente para las variables cualitativas.

Los datos se representan en un círculo, de modo que el ángulo de cada sector es proporcional a la frecuencia absoluta correspondiente.

El diagrama circular se construye con la ayuda de un transportador de ángulos.

Ejemplo

En una clase de 30 alumnos, 12 juegan a baloncesto, 3 practican la natación, 4 juegan al fútbol y el resto no practica ningún deporte.

Answer:

6x³ - 15x² - 1

3x divided by 3x is 1

So, here we are to simplify the polynomial :

[tex] \\ \longrightarrow \sf \qquad6x^3 - 15x^2 - \frac{3x}{ 3x}\\ \\[/tex]

We can simplify it as,

[tex]\\ \longrightarrow \sf \qquad6x^3 - 15x^2 - 1 \\ \\[/tex]

Some points to know :