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KatRina [158]
3 years ago
7

Divide. Give the Divide. Give the quotient and remainder.

Mathematics
1 answer:
Wewaii [24]3 years ago
5 0

Step-by-step explanation:

254 = 8 * 30 + 8 * 1 + 6

= 8(30 + 1) + 6

= 8 * 31 + 6.

Hence the quotient is 31 and the remainder is 6.

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Hats and mittens are on sale at the store! One woman was able to buy 5 hats and 4 pairs of mittens for $30.
aalyn [17]

The price of one hat is $2 and one pair of mittens is $5

Step-by-step explanation:

Hats and mittens are on sale at the store!

  • One woman was able to buy 5 hats and 4 pairs of mittens for $30
  • Another woman purchased 3 pairs of mittens and 2 hats for $19
  • The price of one hat is x
  • The price of one pair of mittens is y

We need to find x and y

∵ One woman was able to buy 5 hats and 4 pairs of mittens for $30

∵ The price of one hat is x

∵ The price of one pair of  mittens is y

- Multiply 5 hats by x and 4 pairs of mittens by y and equate

  their sum by 30

∴ 5x + 4y = 30 ⇒ (1)

∵ Another woman purchased 3 pairs of mittens and 2 hats for $19

- Multiply 2 hats by x and 3 pairs of mittens by y and equate

  their sum by 19

∴ 2x + 3y = 19 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -2 and equation (2) by 5 to eliminate x

∵ -10x - 8y = -60 ⇒ (3)

∵ 10x + 15y = 95 ⇒ (4)

- Add equations (3) and (4)

∴ 7y = 35

- Divide both sides by 7

∴ y = 5

Substitute the value of y in equation (1) or (2) to find x

∵ 2x + 3(5) = 19

∴ 2x + 15 = 19

- Subtract 15 from both sides

∴ 2x = 4

- Divide both sides by 2

∴ x = 2

The price of one hat is $2 and one pair of mittens is $5

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

8 0
3 years ago
Chad drove 168 miles in 3 hours. How many miles per hour did Chad drive?
igor_vitrenko [27]


°° Let's see -

Basically, you divide the number of miles Chad drove by the number of hours it took. Then, it gives you the number of miles Chad drove in one hour. Let's try it!

168 ÷ 3 = 56

You can now see that Chad drove 56 miles in one hour.

↑   ↑   ↑  Hope this helps! :D

5 0
3 years ago
Read 2 more answers
Find the y intercept of the line on the graph
saul85 [17]
It’s the vertical line on the graph
4 0
1 year ago
Solve this quadratic equation. x^2+2x-22=0
torisob [31]
X=⁻3 and x=1
because 
a+b=2 which means a=3 and b=⁻1 which added up equals 2
a×b=⁻22 which means that 11 which is a×⁻2 which is b=⁻22
7 0
3 years ago
Use differentials to find an approximate value for <img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B65%7D%20" id="TexFormul
Sveta_85 [38]
: Let y = f(x) =  x^1/3  
Then dy = 1/3*x^(−2/3) dx 
 Since f(64) = 4.
We take x = 64 and dx = ∆x = 1  
This gives dy = 1/3*(64)^(−2/3)* (1) =  1/48  
∴65^(1/3) = f(64 + 1) ≈ f(64) + dy = 4 + 1/48 ≈ 4.021 <span>
</span>
6 0
3 years ago
Read 2 more answers
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