A banquet room has been set up with 10 tables that each have 8 seats. If 78 people show up for the banquet, how many empty seats will there be?

Answer:

BOC = 42

Step-by-step explanation:

90 = 6z - 6 + 5z + 8

Combine common factors

90 = 11x + 2

Subtract 2 from both sides

88 = 11x

Divide both sides by 11

8 = x

Plug in 8 for x

6(8)- 6

48 - 6

42

Answer:

y- intercept, x=0

8(0)-4y=12

y=-3

Answer: 9 - 6 = 3

Step-by-step explanation:

Answer:

a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a

f: M ⇒ N is a function from M to N.

Given,

f: M ⇒ N

We need to describe this mathematical statement in our own words.

A function is defined as a way where there is an input that it takes and produces an output.

The set from where the inputs come is called the Domain.

The set of outputs is called the Range.

We have,

f: M ⇒ N

Here

f is a function that takes input from the set M and its output belongs to set N( Natural number).

Here,

M is called the domain.

N is called the codomain.

Thus f: M ⇒ N is a function from M to N.

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Answer:

the answer is irrational (goes on forever) ... look at image...

I assume that the answer that you were to provide is

3 R 9 (3 remainder 9 )

or

[tex]3 \frac{9}{19}[/tex]

Step-by-step explanation:

Step-by-step explanation:

let the price of fruits be X per kg

cp of 50kg of friuts =50x

he sells 30kg of fruits on its cp of 35 kg

cp of 30kg fruits=30x

sp of 30kg fruits=35x

remaing fruits is 20kg

he sells 20kg of fruits on cp of 16kg

cp of 20kg fruits=20x

sp of 20kg fruits =16x

total cp is =50x

total sp is =(35+16) =51x

sp>cp(it means profit)

profit =sp-cp

=51-50

= 1

profit%=gain/cp × 100

= 1/50×100

=2%

                                         Thank you

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Answer:

19, 25, 32

Step-by-step explanation:

Find the difference within each number:

5 -> 7: + 2

7 -> 10: + 3

10 -> 14: + 4

With each difference, + 1 is added so we can infer the next difference will be + 5.

14 + 5 = 19

Next is + 6.

19 + 6 = 25

Now + 7.

25 + 7 = 32

1/4

Step-by-step explanation:

0.5+0.25+0.17+0.13+0.1+0.1=1.25

Answer:

(4^3)5 = 4^15

Step-by-step explanation:

Answer:

first option

Step-by-step explanation:

number of shirts = x

price of shirts made = 9x+20

amount u earn by selling the shirts = 15x

profit = 15x - (9x+20)

profit of at least 150,  

15x - (9x+20) ≥ 150

Answer:

z = 0

Step-by-step explanation:

3 (z + 7) = 21

3z + 21 = 21

3z = 0

z = 0

Step-by-step explanation:

Solution,

Effort=800N

Effort arm=80 cm

Load arm=20 cm

Load=?

Now,

by the principle of lever, we have

So, the load of 3200N can be lifted .

Answer:

load (l) =?

LOAD ARM = 20 CM

EFFORT ( E)= 800N

EFFORT ARM = 80cm

load *load arm = effort *effort arm

l*20 cm = 800 *80

L = 64000/20

answer = 3200

Answer: 9/1

Step-by-step explanation:

Answer:

La verdad Nose la respuesta espero que alguien te ayude

To graph an exponential,

d. T-chart using random values for x and y.

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

Now,

We know an exponential function is a function in which the independent variable is the exponent.

One such function is y = eˣ

Now, To graph an exponential function you come up with values to use in the graph should be a T-chart using random values for x and y.

As it would result in graphing the complete nature of the function.

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Answer:

7000

Step-by-step explanation:

This is because when you round to the significant figure, you basically look at any digits at the start of the number, which isn't zero. In this case, it would be in the thousands place 7284. So you round 7284 to the nearest thousands, which, would be 7000

Answer:

5^5

Step-by-step explanation:

5^3 * 25

Note that 25 = 5^2 (which is 5 * 5)

so we can rewrite the first expression as

5^3 * 5^2

We can add the exponents because we are multiplying and there is the same base (5):

5^(3+2) = 5^5

Answer:

the right answer is 24

hope it help

Answer:

is this a question or something else ?

Answer:

d. [tex]\displaystyle 0,09375[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{3}{32} = [-\frac{3}{4}][-\frac{1}{2}][\frac{1}{4}] \\ \\ 0,09375 = \frac{3}{32}[/tex]

All you are doing is multiplying straight across!

I am joyous to assist you at any time.

Answer:

a. there are 86400 seconds in a 24 hour day

b. to convert a km to a m you say

1000m is equivalent to 1 km

1000m:1km

x:6.86

x=6860m

I hope this helps

Answer:

1) 4900 is square

2) The greatest common factor 30 and 126 is 6.     The GCF of 126 and 39204 is 18

3) i) 44100 ii) 48024900

Answer:

Step-by-step explanation:

Let x = the hourly rate of the first mechanic and

     y = the hourly rate of the second mechanic.

As far as the equation goes for the total amount charged:

10x + 5y = 950

As far as the equation goes for the sum of the 2 mechanics' rates:

x + y = 125

Solve the first equation for either x or y. I solved for y:

y = 125 - x

Now plug that into the first equation for y to get:

10x + 5(125 - x) = 950 and

10x + 625 - 5x = 950 and

5x = 325 so

x = 65

The first mechanic charges $65 per hour and the second mechanic charges

y = 125 - 65 so

the second mechanic charges $60 per hour.

Answer:

the exponential form of this is a to the power 6

I.e a⁶

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Answer: London and Moscow.

Step-by-step explanation: This problem is simple. First, we use process-of-elimination. None of the positive values have a difference of 25 degrees, so one of the two values must be -12 degrees aka Moscow. From there, we add 25 to -12 to get 13. This means that the other city is London since it is 13 degrees.

Answer:

11c-12a

Step-by-step explanation

Combine like terms

9514 1404 393

Answer:

  432 ft²

Step-by-step explanation:

The radius is half the diameter.

  r = (24 ft)/2 = 12 ft

Put the given numbers into the formula and do the arithmetic.

  A = πr²

  A = (3)(12 ft)² = 432 ft²

Answer:

[tex]a_7=40960x^{33}[/tex]

Step-by-step explanation:

Geometric sequence has explicit form:

[tex]a_n=a \cdot r^{n-1}[/tex] where [tex]a[/tex] is first term and [tex]r[/tex] is the common ratio.

First term here is [tex]a=10x^3[/tex] and [tex]r[/tex] could be found by doing second term divided by first term, [tex]\frac{40x^8}{10x^3}=4x^5[/tex].

Therefore the [tex]n[/tex]th term is given by

[tex]a_n=10x^3 \cdot (4x^5)^{n-1}[/tex].

So the [tex]7[/tex]th term is given by

[tex]a_7=10x^3 \cdot (4x^5)^{7-1}[/tex].

Let's simplify:

[tex]a_7=10x^3 \cdot (4x^5)^{7-1}[/tex]

[tex]a_7=10x^3 \cdot (4x^5)^{6}[/tex]

[tex]a_7=10x^3 \cdot (4^6(x^5)^6)[/tex]

[tex]a_7=10x^3 \cdot (4096x^30)[/tex]

[tex]a_7=40960x^{33}[/tex]