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3 years ago

96 people have been invited to a banquet each table table can seat 12 people how many tables do you need

Mathematics

2 answers:

Tasya [4]3 years ago

7 0

Answer:

You would need 8 tables

Step-by-step explanation:

96/12

EleoNora [17]3 years ago

3 0

96/12 = 8
You need 8 tables

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Logarithms:

WITCHER [35]

Answer:

A) k = 18.75
B) R(0.8) = 161419
C) R(0.3) = 275

Step-by-step explanation:

Given expression

R(x) = 6*e^(kx)

A) Given

x = 0.04
R = 10

Solving for k

10 = 6*e^(0.04k)
e^(0.04k) = 10/6
ln (e^0.04k) = ln (1.6666)
0.04k = 0.51
k = 0.51/0.04
k = 12.75

B) Given

x = 0.8
R= ?

The value of R(0.8) is:

R(0.8) =
6*e^(0.8*12.75) =
6*e^(10.2) =

161419 rounded

C) Given

x = 0.3
R = ?

The value of R(0.3) is:

R(0.3) =
6*e^(0.3*12.75) =
6*e^(3.825) =

275 rounded

4 0

3 years ago

The multiplicative inverse of -7/8 is

suter [353]

7/8 is a answer of this question

3 0

3 years ago

Anthony earned $131 in tips last night while working at the restaurant. If his tips consisted of $1 bills and $5 bills only and

Nadya [2.5K]

Answer:

Step-by-step explanation:

Let x = $1 bill

Let y = $5bill

Translating the word problem into an algebraic equation;

For the total number of bills;

$x + y = 47$ .........equation 1

For the total number of tips;

$x + 5y = 131$ ..........equation 2

*Solving the linear equation by using the substitution method*

Making x the subject in equation 1:

$x = 47 - y$ .......equation 3

Substituting "x" into equation 2;

$(47 - y) + 5y = 131$

Simplifying the equation, we have;

$47 + 4y = 131$

$4y = 131 - 47$

$4y = 84$

$y = \frac {84}{4}$

y = 21 (For the $5 bills).

Therefore, Anthony received 21 pieces of the $5 bills.

To find x;

Substituting "y" into equation 3;

$x = 47 - 21$

x = 26 (For the $1 bill).

6 0

2 years ago

Help me with #22 Please i need steps too

VladimirAG [237]

Answer:

$\frac{1}{2} (8)(x+4)=3(x+6)\\x=2$

Step-by-step explanation:

$\frac{1}{2} bh=bh\\\\\frac{1}{2}(8)(x+4)=3(x+6)\\4(x+4)=3x+18\\4x+16=3x+18\\4x=3x+2\\x=2$

1. set the equation for the area of each shape equal to each other

2. simplify each side until you get $4x+16=3x+18$

3. subtract 16 from both sides which will give you $4x=3x+2$

4. subtract 3x from both sides which will give you the value of x. $x=2$

5. check that $x=2$ is correct by plugging it into the equations

triangle:

$area=\frac{1}{2} (8)(2+4)\\area=4(6)\\area=24$

rectangle:

$area=3(2+6)\\area=3(8)\\area=24$

the areas are the same

4 0

2 years ago

3. Which is the graph of the function y = 2(4)x?

valentinak56 [21]

This would simply be y=8x. Which is not one of the options. Are you sure that is the function?

3 0

2 years ago

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96 people have been invited to a banquet each table table can seat 12 people how many tables do you need ​

96 people have been invited to a banquet each table table can seat 12 people how many tables do you need