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Lelechka [254]
3 years ago
15

Aidan has 120 toys cars. He has 5 boxes he wants to put an equal number of toy cars in each box whitch strategy would help aidan

figure out the number of toy cars to put in each box.
Mathematics
1 answer:
vampirchik [111]3 years ago
6 0

Answer: Division

Step-by-step explanation:

Since aiden has 5 boxes and 120 toy cars, he can divide the cars into those five boxes until he runs off of toy cars. In this case 5 can go into 120 24 times. So in each of the 5 boxes he can use division to find out that he need to put 24 cars 8n each box to have an equal amount in each box.

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A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium
frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased,  hence:

x + y + z = 47    (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302     (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0    (3)

Represent equations 1, 2 and 3 in matrix form gives:

\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

5 0
3 years ago
Two architects bid for a small government project, both
blondinia [14]

Answer:

10 hours

Step-by-step explanation:

let x be the total number of hours

Amazing design total charge = 45x+250

super structures total charge = 60x+100

both companies charge the same amount when both equation equals

45x+250=60x+100

60x-45x=250-100

15x=150

x=10

therefore at 10 hours both companies will charge the same amount

4 0
2 years ago
The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.Refer to
Dafna11 [192]

Given that

the weight of football players is distributed with a mean of 200 pounds and a standard deviation of 25 pounds.

And we need to find What is the minimum weight of the middle 95% of the players?

Explanation -

Using the Empirical Rule, 95% of the distribution will fall within 2 times of the standard deviation from the mean.

Two standard deviations = 2 x 25 pounds = 50 pounds

So the minimum weight = 200 pounds - 50 pounds = 150 pounds

Hence the final answer is 150 pounds.

3 0
1 year ago
Function table help?
pickupchik [31]

Answer:

boooooooooooo

Step-by-step explanation:

suck

6 0
3 years ago
4. Find the equation of the line that has a slope of 3 and goes through the point (3,4).
atroni [7]

equation= y-y¹=m(x-x¹)

= y-4= 3(x-3)

y-4= 3x-9

y= 3x-9+4

y=3x-5

7 0
2 years ago
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