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a_sh-v [17]
3 years ago
12

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 (includi

ng 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 weigh 130 ounces all together.How many ounces of dough did you buy?
Mathematics
2 answers:
Lesechka [4]3 years ago
5 0

Answer:

No. of ounces of dough= 6

No of ounces of sauce= 4

Total no. of ounces of dough= (if it is addition) 6+4= 10

(subtraction) 6-4= 2

(multiplication) 6x4= 24

(division) 6÷4=1.5

Step-by-step explanation:

olga_2 [115]3 years ago
5 0

Answer:

no

Step-by-step explanation:

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Answer:

0.2

Step-by-step explanation:

30: 1

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Given that 8 bolts and 6 nuts weigh 138grams and 3 bolts and 5 nuts weigh 71 grams. Find the weight of;(a)one bolt and one nut (
Viktor [21]

Answer:

(a) Weight of a bolt = 12 grms and weight of a nut is 7 gms. Weight of one bolt and one nut = 12 + 7 = 19 gms

(b) 69 gms

(c) 209 gms

Step-by-step explanation:

This problem relates to solution of 2 unknowns using simultaneous equations.

Let B be the weight of a single bolt and N be the weight of a single nut

Since 8 bolts and 6 nuts weigh 138 grams we get one of the equations as

8B + 6N = 138    (1)

The second equation in the unknowns is

3B + 5N = 71  (2)

To solve, we eliminate one of the unknowns by making its coefficients the same and subtracting one from the other

Multiplying (1) by 5 ===>   40B + 30N = 690   (3)

Multiplying (2) by 6 ===>  18B + 30N = 426    (4)

(3) - (4) eliminates the N variables and yields

22B = 264   ==> B = 264/22 ==> B = 12

So the weight of a single bolt is 12 grams

We can find the weight of a single nut by substituting this value of B into any of the equations (1), (2), (3) or (4) and solving for N. Let's use equation (2)

3(12) + 5N = 71 ==>  36 + 5N = 71 ==> 5N = 71-36 = 35 ==>  N= 7

So the weight of a single nut is 7 grams

Weight of one bolt and one nut is the sum of the above individual weights = 12 + 7 = 19 gms

To solve (b) and (c) we could set up two other equations and plug in values for B and N

(b) 4B + 3N = 4.12 + 3.7 = 69
However, an alternate way is to perceive that 4B + 3N is exactly half of 8B + 6N so the value of that must be 138/2 = 69

(c) If we add both equations (1) and (2), we get

11B + 11N = 138 + 71 = 209 which is the equation for the total weight of 11 bolts and 11 nuts

5 0
1 year ago
X^2-10x+8=0 by completing the square
OverLord2011 [107]
When completing the square <span>x=9.12311 and </span><span>x=<span>0.876894</span></span>
4 0
3 years ago
The demand function for a product is given by p = −0.05x2− 0.3x + 8 where p is the unit price in dollars and x is the weekly dem
mr Goodwill [35]

Answer:

The answer is 5300 units.

Step-by-step explanation:

The equation will be exactly lie below if the price is 5$:

5=-0.05x^2-0.3x + 8\\0=-0.05x^2-0.3x+3

Roots of the parabol will be:

x_{1}=-11.3\\x_{2}=5.3

In fact that there will be no negative production, The consumer surplus will be 5300 units

6 0
3 years ago
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