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andrezito [222]
2 years ago
6

You are having a pizza making party. You will need 6 ounces of dough and 4 ounces of sauce for each person at the party(includin

g yourself, the host . Once you have a total count of guests, you buy exactly the needed amount of all the ingredients. The dough and sauce that you buy weig 130 ounces all together . How many ounces of dough did you buy
Mathematics
1 answer:
Allushta [10]2 years ago
6 0

Answer: 78

Step-by-step explanation:

From the question, 6 ounces of dough and 4 ounces of sauce will be needed for each person at the party. This means each person will use 4+6 = 10 ounces. Since 130 ounces were bought, it means that there are: (130/10) = 13 people.

Let the number of ounces of dough be x.

Since 6 ounces of dough are used and there are 13 people. This will be: = 13 × 6 =x

x = 78

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Part A: Eveline rented a car at $180 for 4 days. If she rents the same car for 9 days, she has to pay a total rent of $325. Writ
QveST [7]

Answer:


Step-by-step explanation:

Part A

We will use the slope intercept form of the line and then convert later.

Equation

y = mx + b is the general form

Givens

Two data points

(4,180)

(9,325)

Solution

325 = 9x + b

<u>180 = 4x + b</u>                Subtract

145 = 5x                      Divide by 5

145/5 = 5x/5               Do the division

29 = x                          This represents the cost / day

180 = 4x + b                 Substitute x = 29 to find b

180 = 4*29 + b             Combine

180 = 116 + b                Subtract 116 from both sides.

180 - 116 = b

64   = b

Solution for y = mx + b

y = 29x + 64

In Standard form this is

- 29x + y = 64 But the first number must be plus

29x - y = - 64 <<<< Answer A

Part B

y = 29x + 64

f(x) = 29x + 64

Part C

The graph is shown below. Various points are filled in using y = 29x + 64. The y intercept is (0,64) which is labeled. Let x = 1 , 2, 3, 4, ... 10 (which is arbitrary). This may be more easily done on a spreadsheet if you know how to use one to make graphs.


8 0
3 years ago
X+y=3 x=6-4y using substitution
kenny6666 [7]

Givens

x + y = 3

x =6 - 4y

Solution

Use the top equation to substitute for x in the second equation.

x = 3 - y

Put this result into the second given equation and solve for y

3 - y = 6 - 4y        Add 4y to both sides.

3 - y + 4y = 6       Combine on the left

3 + 3y = 6            Subtract 3 from both sides

3 - 3 + 3y = 6 - 3  Combine

3y = 3                   Divide by 3

3y/3 = 3/3             Combine

y = 1                      

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

x + y = 3               but y = 1

x + 1 = 3                Subtract 1 from both sides.

x + 1 - 1 =3 - 1

x = 2

Answer

x = 2

y = 1

4 0
3 years ago
Read 2 more answers
Select the correct answer.
masha68 [24]

Answer:

what is your question here can you be more specific?

Step-by-step explanation:

3 0
3 years ago
Part of arianna’s earnings are based on a 5% commission rate. At the end of the day arianna earned 14.98 in commission. How much
Katarina [22]

Arianna sold for $ 299.6

<em><u>Solution:</u></em>

Given that, Part of Arianna’s earnings are based on a 5% commission rate

At the end of the day arianna earned 14.98 in commission

Therefore,

Commission earned = $ 14.98

Commission rate = 5 %

Let "x" be the amount that Arianna sell that day

Therefore, according to question,

5 % of amount earned = 14.98

5 % of "x" = 14.98

<em><u>Solve the above equation for "x"</u></em>

5 \% \times x = 14.98\\\\\frac{5}{100} \times x = 14.98\\\\5x = 14.98 \times 100\\\\5x = 1498\\\\Divide\ both\ sides\ of\ equation\ by\ 5\\\\x = 299.6

Thus arianna sold for $ 299.6

7 0
3 years ago
harriet is cultivating a strain of bacteria has doubled by the end of every second hour. how many bacteria will harriet have in
Black_prince [1.1K]

Answer:

n2^3 bacteria, n being the initial population.

Step-by-step explanation:

compound growth equation: P=n2^t

P is total population

n is initial population

t is time

since it doubles every second hour, and there are 6 hours

6hours/2hours= doubles 3 times, thats why t=3.

7 0
2 years ago
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