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Ratling [72]
3 years ago
12

In one day a museum collected $1590 from 321 people. The price of admission is $6 for an adult and $4 for a child. How many adul

ts and how many children were admitted to the museum?
I NEED IN STEP BY STEP SO I CAN UNDERSTAND!!!!
Mathematics
1 answer:
Troyanec [42]3 years ago
6 0

Answer:

153 adults and 168 children

Step-by-step explanation:

x - number of adults

y - number of children

\left \{ {{6x + 4y = 1590} \atop {x + y = 321}} \right.

\left \{ {{6x+4y = 1590} \atop {x=321-y}} \right.

\left \{ {{6*(321 - y)+4y = 1590} \atop {x=321-y}} \right.

\left \{ {{1926 -6y+4y=1590} \atop {x=321-y}} \right.

\left \{ {{1926 -2y=1590} \atop {x=321-y}} \right.

\left \{ {{-2y=1590-1926} \atop {x=321-y}} \right.

\left \{ {{-2y=-336} \atop {x=321-y}} \right.

\left \{ {{y=168} \atop {x=321-y}} \right.

\left \{ {{y=168} \atop {x=321-168}} \right.

\left \{ {{y=168} \atop {x=153}} \right.

Is it all clear?

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Tju [1.3M]

Answer:

<h2>Average speed is 15km/h</h2>

Step-by-step explanation:

Step one:

given data:

total distance =7.5km

time taken= 30 min= 0.5 hours

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Step two:

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substituting we have

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speed=15km/hour

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3 0
3 years ago
Jim wishes to buy 3 gifts that cost 15 dollars, 9 dollars, and 12 dollars. he has 1/4 of the money he needs, how much more money
Archy [21]
In order to solve this, you have to plug in all of the costs of the gifts and add them, which in all equals $36. since jim only has 1/4 of the money he needs to buy the gifts, you need to divide 36 by 4. this gives you 9, so now you know he has 9 dollars.
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Which of these are the intercepts of the graph of y = 3x – 12?
charle [14.2K]
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5 0
3 years ago
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Nesterboy [21]

Answer:

Mickey

Step-by-step explanation:

Mickey is correct because if you look at the number 45.7654 whenever you round to the nearest thousandth it'll be 45.765

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the density of a certain material is such that weighs 6900 grams for every 4.5 quarts of volume express this density in pounds p
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Answer:

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Step-by-step explanation:

Given that,

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Volume of the material, V = 4.5 quarts

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We know that,

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Also, 1 cubic foot = 29.92 quarts

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Density = mass/volume

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d=\dfrac{15.21\ \text{pounds}}{0.15\ \text{feet}^3}\\\\d=101.4\ \text{pounds}/\text{feet}^3

Hence, the density of the material is 101.4\ \text{pounds}/\text{feet}^3

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