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Bond [772]
3 years ago
11

There are 6 ouces of dough and 4 ounces of suase for each person at a party including yourself once you have a total of guest yo

u buy exactly the needed amount of all ingredientsthe dough and sause weigh 130 ounces all together how many ounces of dough did you buy and how many ouces of suase did you buy and how may guests are coming to the party?
Mathematics
1 answer:
zepelin [54]3 years ago
7 0

Answer:

Number of guests = 13

Sauce = 52 ounces

Dough = 78 ounces

Step-by-step explanation:

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 (including myself the host) Once you have a total count of guests you have exactly the amount needed for ingredients. the dough and sauce that I have is 130 ounces all together. How many ounces of dough did I buy? Explain How many ounces of sauce did I buy? Explain How many guests are coming to the party? Explain

Dough = 6 ounces

Suase = 4 ounces

Dough + sauce = 6 + 4 = 10

Let x = total number of guests

Dough ingredients + sauce ingredients = 130

10x = 130

Divide both sides by 10

x = 130/10

= 13

x = 13

Number of guests = 13

Total ounces of dough = 6 ounces × 13 guests

= 78 ounces of dough

Total ounces of sauce = 4 ounces × 13 guests

= 52 ounces of sauce

Therefore,

Number of guests = 13

Sauce = 52 ounces

Dough = 78 ounces

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Answer:

4 inches

Step-by-step explanation:

40/24=10/6

40/10=4

24/6=4

(40/24)/(4/4)=10/6

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2 years ago
In the parallelogram shown, AE = p − 8, CE = 2p − 58, and DE = p + 15. What is the length of line segment EB?
Artist 52 [7]
<span>DE = EB

DE = p + 15

I would help you farther but I don't know what p equals. If you know then add that number with 15 and you have your answer.</span><span />
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3 years ago
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Consider the curve defined by the equation y=6x2+14x. Set up an integral that represents the length of curve from the point (−2,
torisob [31]

Answer:

32.66 units

Step-by-step explanation:

We are given that

y=6x^2+14x

Point A=(-2,-4) and point B=(1,20)

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\frac{dy}{dx}=12x+14

We know that length of curve

s=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}dx

We have a=-2 and b=1

Using the formula

Length of curve=s=\int_{-2}^{1}\sqrt{1+(12x+14)^2}dx

Using substitution method

Substitute t=12x+14

Differentiate w.r t. x

dt=12dx

dx=\frac{1}{12}dt

Length of curve=s=\frac{1}{12}\int_{-2}^{1}\sqrt{1+t^2}dt

We know that

\sqrt{x^2+a^2}dx=\frac{x\sqrt {x^2+a^2}}{2}+\frac{1}{2}\ln(x+\sqrt {x^2+a^2})+C

By using the formula

Length of curve=s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}

Length of curve=s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}

Length of curve=s=\frac{1}{12}(\frac{(12+14)\sqrt{1+(26)^2}}{2}+\frac{1}{2}ln(26+\sqrt{1+(26)^2})-\frac{12(-2)+14}{2}\sqrt{1+(-10)^2}-\frac{1}{2}ln(-10+\sqrt{1+(-10)^2})

Length of curve=s=\frac{1}{12}(13\sqrt{677}+\frac{1}{2}ln(26+\sqrt{677})+5\sqrt{101}-\frac{1}{2}ln(-10+\sqrt{101})

Length of curve=s=32.66

5 0
2 years ago
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Margarita [4]

Answer:

The vertex is (2, 3)

Step-by-step explanation:

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Lines a and b in the figure above are parallel. What is the value of p?
elena-s [515]
It will be c- 20:
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Then 60/3=20 and that is your answer.
Hope this helps :)
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