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Gnoma [55]
3 years ago
11

Amy is planning the seating arrangement for her wedding reception. Each round table can sit 12 guests. The head table can sit th

e bride and groom with the 6 wedding attendants. If Amy expects 198 to 270 guests to attend her wedding, including the attendants, what is the range for the number of round tables she will need for her reception?
A. 22 to 28
B. 17 to 23
C. 19 to 23
D. 16 to 22
Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0

Answer:

D

Step-by-step explanation:

16*12 is 192. Plus the 6 for the bride and groom, and you get a total of 198.

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An alloy consists of nickel, zinc, and copper in the ratio 2:7:9.
Alexus [3.1K]

Answer:

0.4kg, 1.4kg and 1.8kg

Step-by-step explanation:

Given parameters:

         Mass of alloy = 3.6kg

         Ratio of elements in the alloy = 2:7:9

Unknown:

Mass of each element in the alloy = ?

Solution:

To find the mass of each element in the alloy, first find the sum of the ratio;

              2+7+9 = 18

Mass of nickel  = \frac{2}{18} x 3.6 = 0.4kg

Mass of zinc = \frac{7}{18} x 3.6 = 1.4kg

Mass of copper = \frac{9}{18} x 3.6 = 1.8kg

The mass of each metal is 0.4kg, 1.4kg and 1.8kg

5 0
3 years ago
Three vertices of parallelogram JKLM are J(1, 4), K(5, 3), and L(6,−3). Find the coordinates of vertex M.
Andrej [43]

Answer:

coordinates of vertex M is (x, y) = (2, -2)

Step-by-step explanation:

Since JKLM is a  parallelogram, this implies that JK parallel to LM and KL parallel to JM. This means that

Slope of JK = slope of LM

\frac{3-4}{5-1} =\frac{-3-y}{6-x} \\y=-\frac{1}{4}x-\frac{3}{2} ....(i)

And

Slope of KL = slope of JM

\frac{3-\left(-3\right)}{5-6}=\frac{4-y}{1-x}\\y=10-6x...(ii)

From equation (i) and (ii) we get

-\frac{1}{4}x-\frac{3}{2} =10-6x

-\frac{23x}{4}=-\frac{23}{2}

-23x=-46

x=2

Put the value of x in equation (ii) we get

y=10-6(2)\\y=-2

So, the coordinates of vertex M is (x, y) = (2, -2).

5 0
3 years ago
What is the base area of Box 3?
s2008m [1.1K]
Do you have a picture I can’t see it my guy
5 0
3 years ago
Read 2 more answers
PLEASE HELP ME I DON'T UNDERSTAND IT 20 PINTS AND BRAINLIEST ASAPPP
Semenov [28]

Answer:

x=27

Step-by-step explanation:

The two angles are vertical angles, which means they are equal

4x+7 = 5(x-4)

Distribute the 5

4x+7 = 5x-20

Subtract 4x from each side

4x+7 -4x = 5x-4x -20

7 = x-20

Add 20 to each side

7+20 =x-20+20

27 = x

3 0
4 years ago
Is this greater than, less than, or equal to
jeka57 [31]
When doing something like this you want to make sure both sides are the same, so turn 7/4 into a percent. 7/4 equals 175, therefore they’re equal to each other.
3 0
3 years ago
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