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lana66690 [7]
4 years ago
9

claudia is making a gelatin desseert for a party.She plans on making 12 servings for every 5 people.If each pan claudia uses to

make the dessert holds 8 servings, what is the minimum number of these pans that shpe needs in order to make enough to feed 10 people?
Mathematics
1 answer:
prisoha [69]4 years ago
5 0
First we need to find the total amount of servings needed.

(x2) 12 servings/5 people (x2)
        24 servings/10 people

Now we can find the amount of pans needed

24 servings/8 servings (1 pan)
=3 pans

She needs at least 3 pans
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Maslowich

Use:\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^n\cdot a^m=a^{n+m}\\\\\sqrt[n]{a}=a^\frac{1}{n}\\------------------------\\\\\left(16n^4\right)^{\frac{5}{4}}=16^\frac{5}{4}\left(n^4\right)^\frac{5}{4}=16^{1\frac{1}{4}}n^{4\cdot\frac{5}{4}}=16^{1+\frac{1}{4}}n^5=16^1\cdot16^\frac{1}{4}\cdot n^5\\\\=16\cdot\sqrt[4]{16}\cdot n^5=16\cdot2\cdot n^5=\boxed{32n^5}\\\\\sqrt[4]{16}=2\ because\ 2^4=16\\\\\text{Answer}\ \boxed{\left(16n^4\right)^\frac{5}{4}=32n^5}

4 0
3 years ago
The two men measure the angle of elevation to the highest point on the rock to be 22.6°. They
IgorC [24]

Answer:

  • 15 m

Step-by-step explanation:

<em>Refer to attached picture</em>

  • The height  = h
  • Angles of elevation 22.6° and 38.3°
  • Closer distance  = d

<u>Use tangent to solve</u>

  • tan 22.6° = h/(d + 17) ⇒ h = (d + 17) tan 22.6° ⇒ h = 0.42(d + 17)
  • tan 38.3° = h/d          ⇒ h = d tan 38.3°           ⇒ h = 0.79d

<u>Compare the equations above and find the value of d:</u>

  • 0.42(d + 17) = 0.79d
  • 0.42d + 7.14 = 0.79d
  • 0.79d - 0.42d = 7.14
  • 0.37 d = 7.14
  • d = 7.14/0.37
  • d = 19.3 m

<u>Now find the value of h:</u>

  • h = 0.79d
  • h = 0.79*19.3
  • h = 15

Wave Rock is 15 m tall

3 0
3 years ago
c. Write an expression to represent the length of a string in yards in terms of the string's length, x, in inches
jeka57 [31]

Answer:

Answer:

y = \frac{x}{36}y=

36

x

Step-by-step explanation:

Given

Length of string = x inches

Required

Determine the length in yards

Represent the equivalent length with y

Such that

y = x\ inchesy=x inches

Divide x by 36 to get equivalent in yards

y = \frac{1}{36} * xy=

36

1

∗x

y = \frac{x}{36}y=

36

x

Hence, the equivalent in yards is \frac{x}{36}

36

x

8 0
3 years ago
I need answers for 13 and 14 please
allsm [11]

180-72=108

108/3=x

x=36

B=36x2=72

8 0
4 years ago
Read 2 more answers
Estimate 4.22 times 4.49
jekas [21]

Answer:

19

Step-by-step explanation:

4.22 * 4.49= 18.9 So I would round up to 19 or 20.

5 0
3 years ago
Read 2 more answers
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