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astraxan [27]
3 years ago
10

There are 47 people attending a play at an outdoor theater. There are 11 groups of people sitting in groups of 3 or 5. How many

groups of each size are there?​
Mathematics
2 answers:
Agata [3.3K]3 years ago
8 0

Answer:

Step-by-step explanation:

iVinArrow [24]3 years ago
4 0

Answer:

  • <u>The number of groups in 3 is 4 groups.</u>
  • <u>The number of groups in 5 is 7 groups.</u>

Step-by-step explanation:

Let the number of groups in 3 ⇒ x

Let the number of groups in 5 ⇒ y

There are 11 groups. ⇒ x + y = 11         →(1)

There are 47 people. ⇒ 3x + 5y = 47  →(2)

Solve (1) and (2) to get x and y.

From (1)  ⇒ y = 11 - x  →(3)

By substitution from (3) at (2) with y

∴ 3x + 5(11-x) = 47

3x + 55 - 5x = 47

-2x = 47 - 55 = -8

∴ x = -8/-2 = 4

∴ y = 11 - x = 11 - 4 = 7

So, the number of groups in 3 is 4 groups.

the number of groups in 5 is 7 groups.

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Vera_Pavlovna [14]

Answer:

$8700

Step-by-step explanation:

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2 years ago
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Answer:

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Step-by-step explanation:

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5 0
1 year ago
The city planning commission has been given a budget of 300,000 if the density of concrete is 150 lbs/ft3 determine if the cpc c
Romashka [77]

Answer:

Check Explanation

Step-by-step explanation:

The volume of concrete required to build the bridge is missing and should be provided.

In its absence, let us assign a letter to it.

Let the volume of concrete required to build the bridge be V ft³.

And we further assume that the concrete is the only major material needed to build the bridge for the sake of our question.

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Mass = ?

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Mass = (Density) × (Volume)

Mass of concrete required = 150 × V = (150V) lb

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150V of concrete will cost 150V × 0.80 = (120V) currency amount.

Now, depending on the value of V, we can now determine if the city planning commission (cpc) can afford the bridge.

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3 years ago
Find the average of -4, -8, -12, 0, and -6.
nataly862011 [7]
Answer:
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-30

Next, you have to divide it by the number of terms

-30/5


Your answer is -6
6 0
1 year ago
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