So the factors are
79=2*5*7
100=2*2*5*5
2*5 is common to both so that is the greatest common factor (10)
10 is the answer
Answer: 19 cupcakes and 37 cookies were sold.
Step-by-step explanation:
Let x represent the number of cupcakes that Jesse sold yesterday.
Let y represent the number of cookies that Jesse sold yesterday.
If he sold 56 cupcakes and cookies combined, it means that
x + y = 56
Each cupcake sold for $1.50 and each cookie sold for $0.25. At the end of the day, Jesse had sold $37.75 worth of cookies and cupcakes. This means that
1.5x + 0.25y = 37.75 - - - - - - - - - - -1
Substituting x = 56 - y into equation 1, it becomes
1.5(56 - y) + 0.25y = 37.75
84 - 1.5y + 0.25y = 37.75
- 1.5y + 0.25y = 37.75 - 84
- 1.25y = - 46.25
y = - 46.25/ - 1.25
y = 37
x = 56 - y = 56 - 37
x = 19
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
Answer:
That is a right angles triangle which means to get the area: multiply the base(14.1)to be the height (9.8) divided by 2.
Formula : half the base times the height given. Your answer is to be squared and don't forget the correct unit.
I think the answer could be 10 or even 12