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Archy [21]
3 years ago
6

Mikayla and Weatha went to the candy store and each spend the same amount of money to make party favor bags. Mikayla bought a pa

ckage of bags for $6.25 and 75 small pieces of candy. Weatha bought a package of bags for $4.75 and 90 small pieces of candy. How much does a small piece of candy cost?
Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
7 0

Answer:

$0.1

Step-by-step explanation:

From the information given, you know that Mikayla and Weatha spent the same amount of money and because of that you can write the following:

6.25+75x=4.75+90x, where x is the price of a small piece of candy

Now, you can solve for x:

6.25-4.75=90x-75x

1.5=15x

x=1.5/15

x=0.1

According to this, the answer is that a small piece of candy costs $0.1.

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Make a number that has a 6 that is 10 times the value of the digit 6 in 165,438 Comparing digits in whole numbers
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Answer:

An example of such number is 1,645,378 ( The value of 6 here is 600,000)

Step-by-step explanation:

Here, we want to compare digits in whole

numbers.

The value of 6 in 165,438 = 60,000

Now, we want a number that is 10 times the value of 6 here

10 times the value of 6 here will be 10 * 60,000 = 600,000

So we want a number which has the value of 6 in it as 600,000

The number in this case as an example can be ;

1,645,378

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Two composite numbers that have 8 as a factor are 16 and 24.
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Two ships leave a harbor at the same time. One ship travels on a bearing Upper S 14 degrees Upper W at 15 miles per hour. The ot
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Answer:

69.94 miles

Step-by-step explanation:

The distance d₁ the first ship moves after 3 hours is 3 hours × 15 miles per hours = 45 miles

The distance d₂ the second ship moves after 3 hours is 3 hours × 12 miles per hours = 36 miles.

The angle the first ship's direction makes in the North-East direction is 90° - 75° = 15°

The angle the second ship's direction makes in the South-West direction  = 14°

The distance moved by the two ships form the side of a triangle. The angle,  θ between the two ship directions is 14° + 90° + 15° = 119°

Using the cosine rule, we find the distance d between the two ships

d = √(d₁² + d₂² -2d₁d₂cosθ)

= √(45² + 36² -2×45×36cos119°)

= √(2025 + 1296- (-1570.78))

= √(3321 + 1570.78)

= √4891.78

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3 years ago
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