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lawyer [7]
3 years ago
12

Bernard is organizing a dinner for 28 students. The costs for each part of the dinner are shown. Bernard thinks the event will c

ost $813. Which equation can be used to see if $813 makes sense?
Number of students: 28
Dinner: $13per student
Award: $8 per student. <----Not answer choices
Dj: $225
Mathematics
1 answer:
svetlana [45]3 years ago
3 0
The DINNER STUDENTS because it has 13per
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What is the solution to the system? 1. x-y + 2 z = -7<br> 2. y + z =1<br> 3. x-2 y - 3 z = 0
kvv77 [185]

You'd find this problem easier to understand and do if you'd please list the defining equations vertically and line up variables:

1. x - 1y + 2 z = -7

2. y + 1z = 1

3. x - 2 y - 3 z = 0 Now eliminate the line numbers:

x - 1y + 2 z = -7

1y + 1 z = 1

x - 2 y - 3 z = 0

Let's use the elimination method to eliminate variable z: Seeing that z = 1 - y, we transform the first equation into 1x - 1y + 2(1-y) = -7

and the third into x - 2y - 3(1-y) = 0.

Simplifying 1x - 1y + 2(1-y) = -7

and x - 2y - 3(1-y) = 0,

we get

1x - 2y - 3 + 3y) = 0 and 1x - 1y + 2 - 2y = -7

which in turn simplify to

1x + y = 3 and 1x - 3y = -9

Having eliminated the variable z, we now focus on eliminating x. Mult. the 1st equation by -1, obtaining -1x - 1y = -3. Add this result to 1x - 3y = -9:

0 - 4y = -12, which tells us that y = 3. Subbing 3 for y in 1x + 1y = 3 tells us that x = 0.

All we have left to determine is the vaue of z.

Borrowing Equation 3, from above, we get x - 2 y - 3 z = 0, and into this equation we substitute x = 0 and y = 3: 0 -2(3) - 3z = 0.

Thus, -3z = 6, and z = -2.

The solution set is (0, 3, -2). You should check this by substitution.

3 0
3 years ago
Solve these compound interest problems and round your answer to the nearest 100th.
MatroZZZ [7]

Answer:

$2,226.96

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance </em>

<em>r = interest rate </em>

<em>n = number of times compounded annually </em>

<em>t = time </em>

<em />

First, change 10% into its decimal form:

10% -> \frac{10}{100} -> 0.1

Now lets plug in the values into the equation:

A=500(1+\frac{0.1}{12})^{15(12)}

A=2,226.96

The final amount after 15 years is $2,226.96

4 0
3 years ago
Pls help me rn bec sue tmr pls pls
blagie [28]

Answer:

Number of 1-cm cube 24. Volume of solid 24 cm^2

Step-by-step explanation:

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3 years ago
I need help on khan academy write and expression for "the quotient of 9 and c."​
Nuetrik [128]

Answer:

9/c

Step-by-step explanation:

Here, we want to write an expression

When we talk about quotient, it simply means that we are dividing one number by the other

With respect to the given arrangement;

9 will be the divided term and c will be the dividing term

So, writing the expression as a quotient, we have ;

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2 years ago
A popular fast food restaurant sells, on average, 18 orders of fries every 3 minutes. Based on this information, how many orders
Lelechka [254]

Answer:B

Step-by-step explanation:

60÷3

Because 60 minutes in one hour

60÷3=20

20×18=360

6 0
3 years ago
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