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WITCHER [35]
3 years ago
13

2)Whitney is shopping for party supplies. She finds a package of 10 plates, 16 napkins, and a package of 8 cups. What is the lea

st number of packages of plates, napkins, and cups so that she has the same number of each? Write answer in sentence form.
Mathematics
1 answer:
Dominik [7]3 years ago
4 0

10=2\cdot5\\16=2^4\\8=2^3\\\\\text{lcm}(10,16,8)=2^4\cdot5=80

80/10=8 packages of plates

80/16=5 packages of napkins

80/8=10 packages of cups

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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B80%7D%20" id="TexFormula1" title=" \sqrt[3]{80} " alt=" \sqrt[3]{80} " ali
Marianna [84]

Start by decomposing the number inside the root into primes

Then group the terms into cubes if possible

\begin{gathered} 80=2\cdot2\cdot2\cdot2\cdot5 \\ 80=2^3\cdot2\cdot5 \\ 80=10\cdot2^3 \end{gathered}

rewrite the root

\sqrt[3]{80}=\sqrt[3]{10\cdot2^3}

then cancel the terms that are cubes and bring them out of the root

\sqrt[3]{80}=2\sqrt[3]{10}

7 0
1 year ago
Eje cartesiano y=-x+7<br> 2
victus00 [196]

Answer:

45

Step-by-step explanation:

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8 0
3 years ago
If f(x) = |x|+ 9 and g(x) = -6, which describes the value of (f + g)(x)?
ohaa [14]

Answer:

(f+g)(x) > 3 for all values of x

4 0
3 years ago
12.09 to the nearest tenth
Gwar [14]
12.1 because 9 is greater than 5.
6 0
3 years ago
Read 2 more answers
Two​ researchers, Jaime and​ Mariya, are each constructing confidence intervals for the proportion of a population who is​ left-
soldi70 [24.7K]

Answer:

Jaime's. Interval not centered around the point estimate.

Step-by-step explanation:

When constructing a confidence interval based on a point estimate, the obtained point estimate must be the central value of the interval.

For Jaime's interval

Lower bound = 0.078

Upper Bound = 0.193

Central = \frac{0.078+0.193}{2} =0.1355

For Mariya's interval

Lower bound = 0.051

Upper Bound = 0.189

Central = \frac{0.051+0.189}{2} =0.12

For a point estimate of 0.12, only Mariya's interval is adequate since Jaime's is not centered around the point estimate.

4 0
3 years ago
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