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Leto [7]
2 years ago
14

You and three friends go to a restaurant for dinner. You share three appetizers that cost $8 each. You also share two desserts t

hat cost $4 each. You split the total bill evenly. Write an expression to find the amount each person paid. Then find out how much each person paid.
Find the error:
3x8+2x4/4 (divided by 4)
= 24 + 8/4
=24 + 2
=26
Each person pays $26

Need an answer ASAP!!!
Mathematics
2 answers:
Nikitich [7]2 years ago
8 0

Answer:


Step-by-step explanation:

You and your friends = 4

Appetizers = 8*3 $ (3 appetizers)

Deserts = 4*2 $ (2 deserts)


Bill = 8*3 + 4*2

= 24 + 8

= 32 $


Each pays equally

= 32 / 4. ( 4 people are there)

= 8


So, you and your friends need to pay 8$ each to pay bill

stira [4]2 years ago
6 0

Answer:

Each person pays $8

Step-by-step explanation:

The entire sum must be divided by 4.

"three appetizers that cost $8 each": 3 * 8

"two desserts that cost $4 each": 2 * 4

The total cost is 3 * 8 + 2 * 4

Now you must divide the entire sum by 4, so if you write it in a single line, you must use parentheses.

(3 * 8 + 2 * 4)/4 =

= (24 + 8)/4

= 32/4

= 8

Using fractions, it looks like this:

\dfrac{3 \times 8 + 2 \times 4}{4} =

= \dfrac{24 + 8}{4}

= \dfrac{32}{4}

= 8

The important lesson from this is that a fraction line is a division but it also means that the numerator must be calculated first, then the denominator must be calculated too, then you divide. When you do not write it as a fraction, but instead, you write in a single line, you must use parentheses where appropriate.

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3 years ago
Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side the area of the smaller
horsena [70]

Answer: 20 feet by 20 feet.


Step-by-step explanation:

1. You know that x is the original measure of one side. Since it is a square, all its sides are equal.

2. Therefore, to solve the problem you only need to solve for x, as you can see below:

- You have that:

(a-b)^{2}=a^{2}-2ab+b^{2}

- Then, you obtain the following quadratic equation:

(x-8)^{2} =144\\x^{2}-2(x)(8)+8^{2}=144\\x^{2}-16x-80=0

- Apply the Quadratic formula to solve it:

x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}\\a=1\\b=-16\\c=-80

- Then, you obtain:

x_1=20\\x_2=-4

3. The dimensions cannot be negative, therefore, the answer is: 20 feet by 20 feet.


3 0
3 years ago
Read 2 more answers
Two integers, a and b, have a product of 36. What is the least possible sum of a and b?
Minchanka [31]
<h3>Answer:  12</h3>

==============================================================

Explanation:

The two integers multiply to 36, so,

ab = 36

which solves to

a = 36/b

Then we want to add the numbers such that we get the smallest possible result.

a+b = (36/b)+b

So we want (36/b)+b to be as small as possible.

Let's say we replace b with x and we consider this function

f(x) = (36/x) + x

The goal is to find when f(x) is smallest, ie, we want to minimize the function.

If we were to graph out the function, we get the curve shown below.

To make things easier, we'll only focus on positive values of x.

The lowest part of the curve is what we're after. Using the "minimum" function/feature on the graphing calculator, we would then find the lowest point occurs at (6,12). This point is considered a local minimum because it's the lowest point in that given neighborhood of x values.

So the input x = 6 leads to the smallest output f(x) = 12.

This in turn means b = 6 is going to pair with a = 36/b = 36/6 = 6.

In short, a = 6 and b = 6.

----------------------

As a check,

a*b = 6*6 = 36

a+b = 6+6 = 12

We can make a table of various values to help confirm that 12 is the smallest sum.

Side note: If you're not allowed to use a graphing calculator, then you'll need to use calculus.

8 0
2 years ago
Christian had $80.45 in his bank account on Monday.He deposited $20.50 on Tuesday.He then withdrew 37.25 on Wednesday.How much d
EastWind [94]

Answer:

138.2

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
2 13/18 −z=1 19/36 <br><br>Answer
allsm [11]

Answer:

Answer is z= 43/36

Step-by-step explanation:

We have given,

2 13/18 - z = 1 19/36

Since 2 13/18 = 49/18  and 1 19/36 = 55/36

So we can write,

2 13/18 - z = 1 19/36

or 49/18 - z = 55/36

or 49/18 - 55/36 = z

or (98 -55)/36 = z

or 43/36 = z

Hence we got z = 43/36

3 0
3 years ago
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