The party planning committee has to determine the number of tables needed for an upcoming event. If a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people.


The variable x represents the number of

Answers

Answer 1

Answer:

Square tables used

Step-by-step explanation:

x represents the number of square tables used since it is being multiplied times 8 which is the number of people a square table can fit

Answer 2

Answer:

answer in pictures

Step-by-step explanation:

The Party Planning Committee Has To Determine The Number Of Tables Needed For An Upcoming Event. If A

Related Questions

Can y’all help me on question 16?!

Answers

Answer:

C

Step-by-step explanation:

173.6 • 9= 1562.4

There are two aircraft carriers, A and B, and carrier A is longer in length than the carrier B.
The total length of these two carriers is 4198 feet, while the difference of their lengths is only
10 feet.

Answers

Answer:

Carrier A is 2,104 feet and Carrier B is 2,094 feet.

Step-by-step explanation:

Since there are two aircraft carriers, A and B, and carrier A is longer in length than the carrier B, and the total length of these two carriers is 4198 feet, while the difference of their lengths is only 10 feet, to determine the length of each aircraft carrier, the following calculation must be performed:

(4,198 - 10) / 2 = X

4.188 / 2 = X

2,094 = X

2,094 + 10 = 2,104

2,094 + 2,104 = 4,198

Therefore, Carrier A is 2,104 feet and Carrier B is 2,094 feet.

F(x) = x3 + x2 -8x - 6
According to the Fundamental Theorem of Algebra, how many solutions/roots will there be?
According to Descartes' Rule of Signs, what are the possible combinations of positive, negative, and/or complex roots will there be?
Using the Rational Root Theorem, list all the possible rational roots.
Use a combination of Synthetic Division, Factoring, and/or the Quadratic Formula to find all the roots. PLEASE SHOW ALL WORK!
This is my 4th time posting this and no ones helping. Please someone who is smart help me out lol

Answers

Answer:

Given function:

f(x) = x³ + x² - 8x - 6

This is the third degree polynomial, so it has total 3 roots.

Lets factor it and find the roots:

x³ + x² - 8x - 6 = x³ + 3x² - 2x² - 6x - 2x - 6 = x²(x + 3) - 2x(x + 3) - 2(x + 3) = (x + 3)(x² - 2x - 2) = (x + 3)(x² - 2x + 1 - 3) = (x + 3)((x - 1)² - 3) = (x + 3)(x - 1 + √3)(x - 1 - √3)

The roots are:

x = -3x = 1 - √3x = 1 + √3

It has highest degree 3 so 3 roots

1 positive and 2 negative roots

Lets find

x³+x²-8x-6=0x²(x+3)-2x(x+3)-2(x+3)=0(x+3)(x²-2x-2)=0(x+3)(x-2.732)(x+0.732)=0

Roots are

-3,2.732,-0.732

Help and explain please and thankyouuu’!!!!!

Answers

here,

f(x)=x-4

then, f(-3.2)=(-3.2)-4

[ replace the value of x in the equation by -3.2]

therefore,f(-3.2)=-7.2 answer....

HOPE THIS HELPS YOU.HAVE A NICE DAY/NIGHT.....

9514 1404 393

Answer:

  (a)  f(-3.2) = -7

Step-by-step explanation:

The ceiling function returns the smallest integer greater than or equal to its argument value. For an argument of -3.2, the next larger integer is -3.

  [tex]f(-3.2)=\lceil -3.2\rceil-4=-3-4=\boxed{-7}[/tex]

The perimeter of triangle ABC is 56 cmThe length of AB is С 4x - 4 degrees; 2x + 6 degrees; 70 degrees B A A 16 B of these 18 cm D 5 E 20 cm

Answers

Answer:

Step-by-step explanation:

the end of day values of a stock market index for the week of December 9-13 are graphed to the right

Answers

Answer: 33.4

Step-by-step explanation:

Given Tan A= 2/3 and that angle A is in quadrant 1, find the exact value of sec A in simplest radical form using a rational denominator.

Answers

Answer:

[tex]\sec A =\frac{\sqrt{13}}{3}[/tex]

Step-by-step explanation:

Given

[tex]\tan A = 2/3[/tex]

Required

[tex]\sec\ A[/tex]

First, we have:

[tex]\tan A = \frac{x}{y}[/tex]

Where

[tex]x \to oppo site\\[/tex]

[tex]y \to adja cent[/tex]

[tex]z \to hypotenuse[/tex]

So:

[tex]\tan A = \frac{x}{y} =\frac{2}{3}[/tex]

By comparison:

[tex]x = 2; y =3[/tex]

Using Pythagoras, we have:

[tex]z^2 = x^2 +y^2[/tex]

[tex]z^2 = 2^2 +3^2[/tex]

[tex]z^2 = 13[/tex]

[tex]z = \sqrt{13[/tex]

[tex]\sec A =\frac{z}{y}[/tex]

[tex]\sec A =\frac{\sqrt{13}}{3}[/tex]

(0.020(5/4) + 3 ((1/5) – (1/4)))

Answers

Answer:

- 0.125

Step-by-step explanation:

Given the equation :

(0.020(5/4) + 3 ((1/5) – (1/4)))

0.020(5/4) = 0.025

3((1/5) - (1/4)) = 3(1/5 - 1/4) = 3(-0.05) = - 0.15

0.025 + - 0.15 = 0.025 - 0.15 = - 0.125

Which absolute value equation represents the graph

Answers

Answer:

the first one

Step-by-step explanation:

Hope this helps!

Compute using long division: 9,876 divided by 123

Answers

Answer:

C 80 R36

Step-by-step explanation:

See attached image for explanation.

two angles of traingle is 40° and 60° . find the measurement of the third angle​

Answers

Answer:

80 degrees

Step-by-step explanation:

the angles in a triangle all add up to 180 degrees

Answer:

Let the third angle be [tex]{x°}[/tex]

Since the sum of all three angles of a triangle is 180°,

We have

40°+60°+[tex]{x}[/tex] = 180°

→ 100+[tex]{x}[/tex] = 180°

[tex]{x}[/tex] = 180-100 = 80°

The measure of the third angle is 80°

Which of the following is the simplified form of? Jx/
xVx?
ox
x21
O 21 /
Points eamed on this question: 0

Answers

Use the following property below:

[tex] \large \boxed{ \sqrt[n]{a} \times \sqrt[n]{a} \times \sqrt[n]{a} = { (\sqrt[n]{a}) }^{3} }[/tex]

Therefore,

[tex] \large{ \sqrt[7]{x} \times \sqrt[7]{x} \times \sqrt[7]{x} = { (\sqrt[7]{x}) }^{3} }[/tex]

Then we use next property.

[tex] \large{ \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} } }[/tex]

Hence,

[tex] \large{ \sqrt[7]{ {x}^{3} } = {x}^{ \frac{3}{7} } }[/tex]

Answer

x^(3/7)

Inequality of y<-4+3 on graph

Answers

Answer:

[tex]y < - 1[/tex]

Step-by-step explanation:

[tex]y < - 4 + 3[/tex]

[tex]y < - 1[/tex]

Hope it is helpful...

[tex] \sf \: y < - 4 + 3 \\ \sf \: y < - 1[/tex]

[tex] \sf \: Just \: add \: - 4 \: and \: 3 \: and \: you \: \\ \sf will \: get \: the \: inequality \: in \: the \: simplest \: form.[/tex]

A jogger travelled 52km in 4 days.what is the rate he travelled per day?​

Answers

Answer:

13km per day

Step-by-step explanation:

If this does not involve complex rules then we can calculate the rate just by dividing 52 with 4 which results 13km per day

Goodluck

This table shows values that represent a quadratic function.
х
y
0
-1
1
SON
| N|مي | |
-10
4
-17
-26
6
-37
What is the average rate of change for this quadratic function for the interval
from x= 4 to x= 6?
A. 10
B. -10
C. 20
D. -20

Answers

Answer:

[tex]Rate = -10[/tex]

Step-by-step explanation:

Given

The table

Required

The average rate if change over (4,6)

This is calculated as:

[tex]Rate = \frac{f(6) - f(4)}{6-4}[/tex]

[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]

From the table:

[tex]f(6) = -37[/tex]

[tex]f(4) = -17[/tex]

So:

[tex]Rate = \frac{-37 --17}{2}[/tex]

[tex]Rate = \frac{-37 +17}{2}[/tex]

[tex]Rate = \frac{-20}{2}[/tex]

[tex]Rate = -10[/tex]

A farmer has a rectangular field with length 1 mile and width 0.5 miles. How much fencing would it take to enclose his field?

Answers

Answer:

3 mi of fencing would be required to enclose this field.

Step-by-step explanation:

Here we are finding the perimeter of a field with given length and width.  We apply the perimeter formula P = 2L + 2W.  Substituting the given dimensions, we get:

P = 2(1 mi) + 2(0.5 mi), or

P = 2 mi + 1 mi = 3 mi

3 mi of fencing would be required to enclose this field.

Answer:

15840 feet of fencing = Perimeter = 15840ft

However, if fencing is 6ft or 10ft we need to divide by the length of each fence for panels.

See bold.

Step-by-step explanation:

6ft fencing = 5280/6 = 880 fences one length

880 x 2 = 1760 6ft fences 2 sides

0.5 x 1760 = 880

1760+ 880 = 2640 fences each 6ft

Total feet of fence = 2640 x 6 =15840 feet of fencing

What is the slope of the line below?

(-2,4) (5,4)

A. Positive

B. Zero

C. Undefined

D. Negative

Answers

Answer:

B

Step-by-step explanation:

the slope is 0

the y intercept is ( 0,4 )

The Natural History Museum has a 1:60 scale model of a tyrannosaurus rex dinosaur. The length of the model is 20 centimeters. Find the
actual length (in meters) of a tyrannosaurus rex.

Answers

Answer:

12 meters

20cm*60 = 1200cm = 12 meters

100cm = 1m btw

Instructions: Find the area of the sector. Round your answer to the nearest tenth.

I’ll mark brainliest please help me

Answers

Answer:

[tex]area \: = \frac{165}{360} \times \pi {8}^{2} \\ = 92.1533845053 \\ = 92 \: in^{2} [/tex]

In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set.
8, 16, 14, 8, 16

(a) Use the defining formula, the computation formula, or a calculator to compute s. (Enter your answer to four decimal places.)

(b) Add 8 to each data value to get the new data set 16, 24, 22, 16, 24. Compute s. (Enter your answer to four decimal places.)

(c) Compare the results of parts (a) and (b). In general, how do you think the standard deviation of a data set changes if the same constant is added to each data value?

Adding the same constant c to each data value results in the standard deviation remaining the same.

Adding the same constant c to each data value results in the standard deviation increasing by c units.

Adding the same constant c to each data value results in the standard deviation decreasing by c units.

There is no distinct pattern when the same constant is added to each data value in a set.

Answers

Answer:

3.6661

3.6661

A, Adding a constant does nothing to the standard deviation

Step-by-step explanation:

I'm gonna assume s=standard deviation

The standard deviation is just the square root of the second moment minus the first moment squared

Because we were not told otherwise I think it's pretty safe to assume that all events are equally likely

Let's start by calculating the first moment (AKA The mean)

1/5(8+16+14+8+16)= 12.4

Let's then find the second moment

1/5(8²+16²+14²+8²+16²)= 167.2

√(167.2-12.4²)=3.6661

b.

While I could just tell you that adding something to the standard deviation (and the variane as well) doesn't do anything let's calculate it for fun

same process

.2(16+24+22+16+24)= 20.4

.2(16²+24²+22²+16²+24²)=429.6

√(429.6-20.4²)= 3.6661

Determine the value of "k" when the lines y=k3x+2 and y=14x+2 are perpendicular. Show your work. (3 marks/PS)

Answers

Answer:

[tex]k=-\frac{1}{42}[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2)

Given the equation [tex]y=14x+2[/tex], we can identify the slope (m) to be 14. This means that the slope of a perpendicular line would have to be [tex]-\frac{1}{14}[/tex] since that is its negative reciprocal.

In the equation [tex]y=k*3x+2[/tex], the slope would be 3k. 3k would be equal to [tex]-\frac{1}{14}[/tex]:

[tex]3k=-\frac{1}{14}[/tex]

Divide both sides by 3 to solve for k

[tex]k=-\frac{1}{42}[/tex]

I hope this helps!

solve solve solve solve

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: \: 1 \frac{1}{15} \:(or) \: 1.0667}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{4}{5} \div \frac{3}{4} [/tex]

= [tex] \: \frac{4}{5} \times \frac{4}{3} [/tex]

= [tex] \: \frac{4 \times 4}{5 \times 3} [/tex]

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

= [tex] \: 1 \frac{1}{15} [/tex]

( OR )

= [tex] \: 1.0667[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35\:♨}}}}⋆[/tex]

Step-by-step explanation:

[tex] \frac{4}{5} \div \frac{3}{4} \\ = \frac{4}{5} \times \frac{4}{3} \\ = \frac{16}{15} \\ thank \: you[/tex]

Solve for x. Leave your answer in simplest radical form.

Answers

mhmmmmmm like 13 because 10+3 is 13 and #brain

Answer:

7√2

Step-by-step explanation:

Leg of the right triangle = greater base - smallest base = 10- 3 = 7

Leg 2 = height = 7

x = [tex]\sqrt{7^2 + 7^2} = \sqrt{49 * 2} = 7\sqrt{2}[/tex]

A person ears $16,700 one year and gets a 5% raise in salary. What is the new salary?

Answers

Answer:

$17,535

Step-by-step explanation:

 Original (old) salary:  $16,700/year

+ raise:                          0.05($16,700/year) = $835/year

---------------------------------------------------------------------------------

 New salary:  Original salary plus amount of raise:

                        $16,700/year + $835/year   =  $17,535

A faster but still valid approach to finding the new salary involves multiplying the original salary by 1.05:

1.05($16,700) = $17,535.  Here the '1.00' represents the original salary and the '0.05) the raise.

what is the prime factorization of 225 in exponent form

Answers

The prime factorization of 225 = 3^2•5^2

Answer:

prime factorization of 225 = 32•52.

Step-by-step explanation:

The number 225 is a composite number so, it is possible to factorize it. 225 can be divided by 1, by itself and at least by 3 and 5.

A composite number is a positive integer that has at least one positive divisor other than one or the number itself. In other words, a composite number is any integer greater than one that is not a prime number.

Find c,d, & e if A=127 B=90 and F= 111

Answers

Answer:

C) 143

D) 37

E) 74

Step-by-step explanation:

C) 180 - 37 = 143

D) 180 - 143 = 37

E) 180 - 37 - 69 = E

slove the system of linear equations by graphing.
-x+y=3
x+y= -3​

Answers

Answer: it is a linear line

Step-by-step explanation:

They both together make 0

Express the function H in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions forf(x) and g(x).)H(x) = |1 − x3|

Answers

Answer:

We know that:

H(x) = |1 - x^3|

and:

We want to write H(x) as  f( g(x) ) , such that for two functions:

So we want to find two functions f(x) and g(x) such that:

f( g(x) ) = |1 - x^3|

Where neither of these functions can be an identity function.

Let's define g(x) as:

g(x) = x^3 + 2

And f(x) as:

f(x) = | A - x|

Where A can be a real number, we need to find the value of A.

Then:

f(g(x)) = |A - g(x)|

and remember that g(x) = x^3 + 2

then:

f(g(x)) = |A - g(x)| = |A - x^3 - 2|

And this must be equal to:

|A - x^3 - 2| =  |1 - x^3|

Then:

A = 3

The functions are then:

f(x) = | 3 - x|

g(x) = x^3 + 2

And H(x) =  f( g(x) )

please answer and help me on this question!​

Answers

Answer: 10.1 cm approximately

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

Explanation:

The double tickmarks show that segments DE and EB are the same length.

The diagram shows that DB = 16 cm long

We'll use these facts to find DE

DE+EB = DB

DE+DE = DB

2*DE = DB

DE = DB/2

DE = 16/2

DE = 8

-------------

Now let's focus on triangle DEC. We just found the horizontal leg is 8 units long. The vertical leg is EC which is unknown for now. We'll call it x. The hypotenuse is CD = 9

Use the pythagorean theorem to find x

a^2+b^2 = c^2

8^2+x^2 = 9^2

64+x^2 = 81

x^2 = 81 - 64

x^2 = 17

x = sqrt(17)

That makes EC to be exactly sqrt(17) units long.

If you follow those same steps for triangle ADE, then you'll find the missing length is AE = 6

---------------

So,

AC = AE+EC

AC = 6 + sqrt(17)

AC = 10.1231056256177

AC = 10.1 cm approximately

what is the answer to tjis question? 7 more than h

Answers

Answer:

7>h

Step-by-step explanation:

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