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VLD [36.1K]
3 years ago
12

Nancy is planning a birthday party for her co-worker,sarH. she realzes that there are 10 women and 8 men attending the office pa

rty.nancy
decides to serve pizza to the men and sandwiches to the women.complete the table

Mathematics
1 answer:
Zolol [24]3 years ago
6 0
The table in the attached figure

complete the table

Part 1) Gender
we have 
a) Men------> Male
b)]Women----> Female

Part 2) Food
we have 
a) Male------> pizza
b)]Female----> <span>sandwiches

Part 3) Headcount
</span>we have 
a) Male------> pizza-----> 8
b)]Female----> sandwiches-----> 10

see the complete table in the attached figure N 2

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Rewrite the system of linear equations as a matrix equation AX = B.
iren2701 [21]

Answer:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

Step-by-step explanation:

Let's find the answer.

Because we have 3 equations and 3 variables (x1, x2, x3) a 3x3 matrix (A) can be constructed by using their respectively coefficients.

Equations:

Eq. 1 : x1 + 2x2 + 5x3 = 5

Eq. 2 : x1 + x2 + x3 = 6

E1. 3 : 4x1 + 6x2 + 5x3 = 7

Coefficients for x1 ; x2 ; x3

From eq. 1 : 1 ; 2 ; 5

From eq. 2 : 1 ; 1 ; 1

From eq. 3 : 4 ; 6 ; 5

So matrix A is:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]

And the vector of vriables (X) is:

\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]

Now we can find the resulting vector (B) using the 'resulting values' from each equation:

\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

In conclusion, AX=B is:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

7 0
3 years ago
Of the factors of 12 shown, which also have a sum of 7?
barxatty [35]
The answer is C because 3 and 4 add together to equal 7
4 0
3 years ago
Describe and correct the error in
spayn [35]

make the y int -4 because it passes through (0,-4). to make perpendicular, apply same slope to new equation but change sign

4 0
2 years ago
Please help!
blagie [28]
Given the two options above, in order to come up with the best plan we have to calculate the future value of money in each plan.
compound interest is given by:FV=p(1+ \frac{r}{100})^n

Option 1
p=$500
r=2%=0.02
t=1 year
FV=500(1+0.02)^1=$510

Option 2
p=$500
r=2/12=1/6
n=1*12=12
hence:
FV=500(1+\frac{ \frac{1}{6}}{100})^{12}&#10;
=$509.09
Comparing the two plans above, option 1 is the best.

b] Option 1 is the best because she will secure $510 as compared to option 2 which has interest rate that reduces her amount by $1 after one year due to annual charges. The total amount of money she will have at the end of the plan is $510. 


8 0
3 years ago
Adrian pays his niece $30 to babysit for 5 hours. Which expression models the change in the amount of Adrian’s cash each hour th
damaskus [11]
Both would be B! I hope this helps!
6 0
2 years ago
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