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Oksana_A [137]
3 years ago
9

Football is selling boxes of candy as a fundraiser.Ms. South ordered three small boxes and two large box fora total of $36. Chri

s ordered four small boxes and one large boxes for a total of $30. What is the price of each type of box?
Mathematics
1 answer:
JulsSmile [24]3 years ago
5 0

Answer: The price of each small box is $4.8  and the price of each large box is $10.8.

Step-by-step explanation:

Let x = Price of each small box, y= price of each large box.

As per given,

3x+2y= 36  ...(i)

4x+y= 30  ...(ii)

Multiplying 2 to (ii), we get

8x+2y =60...(iii)

Subtract (i) from (iii), we get

5x= 24

x= 4.8

From (ii)

4(4.8)+y= 30

19.2+y=30

y= 10.8

Hence, the price of each small box is $4.8  and the price of each large box is $10.8.

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Help me please !!!!!!
Tanya [424]
#2: 4 cans : $2.36 =  13 : $7.67  SCALE FACTOR: $7.67 divided by $2.36 = 3.25
                                                 Use the SF to multiply the missing information.
                                                 So 4 cans x 3.25 = 13
 
YOU CAN BUY 13 CANS FOR $7.67

#4: 2 eggs: 1 1/2 cups of eggs : 10 pancakes =   :     : 35 pancakes
                                             
SCALE FACTOR: 35 pancakes divided by 10 pancakes= 3.5
Use the SF to multiply the missing information
So: 2 eggs x 3.5 = 7

7 EGGS WILL BE NEEDED TO MAKE 10 PANCAKES

#6: 54 pounds: 1 acre = pounds: 12.5 acres

SCALE FACTOR: 12.5 divided by 1 acre= 12.5
Use the SF to find out the mussing information
So, 54 pounds x 12.5 = 675 pounds

THE FARMER CAN HARVEST 675 POUNDS WITH 12.5 ACRES OF FIELD

#8: 90 miles: 120 minutes (5 hours) = 225 miles : 300 minutes (5 hours) 

SCALE FACTOR: 225 miles divided by 90 miles = 2.5
Use the SF to figure out the missing information
So, 120 minutes multiplied by 2.5 = 300 minutes (5 hours)

IT WILL TAKE 5 HOURS TO DRIVE 225 MILES
4 0
3 years ago
What is the value of x
sergey [27]
X = 7 / sin(45)

x = 7 / sqrt(2)/2

x = 7 sqrt(2)
4 0
3 years ago
Read 2 more answers
The length of a parking lot is 7 yards more than the width.If the area of the parking lot is 98 square yards,find the dimensions
USPshnik [31]
The parking lot is 14 yards long by 7 yards wide.

A = W x L       The formula is ....

L = W + 7        The problem tells us that ...

A = W (W + 7)
A = w^2 + 7w
98 = w^2 + 7x
... continue from there
 
7 0
3 years ago
Find the circumference of circle if the diameter is 7.8cm<br>​
olasank [31]

Answer:

24.5

Step-by-step explanation:

the radius is half of a diameter

so the radius is 3.9

24.5 = 2πr= 2 * π * 3.9 ≈ 24.504

4 0
2 years ago
For each statement, write what would be assumed and what would be proven in a proof by contrapositive of the statement. Then wri
Anna007 [38]

Answer:

a)

Given Statement - If x and y are a pair of consecutive integers, then x and y have opposite parity.

Proof by Contrapositive:

Assumed statement: Suppose that integers x and y do not have opposite parity.

Proven Statement: x and y are not a pair of consecutive integers.

Proof -

x = 2u₁ , y = 2u₂

Then

(x, x+1) = (2u₁ , 2u₁ + 1) = (Even, odd)

If y = 2u₁ + 1

Not possible

⇒x and y are not a pair of consecutive integers.

Hence proved.

Proof by Contradiction:

Assumed statement: Suppose x and y are not a pair of consecutive integers.

Proven Statement: Suppose x and y do not have opposite parity.

Proof -

If x and y are not a pair of consecutive integers.

⇒ either x and y are odd or even

If x and y are odd

⇒x and y have same parity

Contradiction

If x and y are even

⇒x and y have same parity

Contradiction

(b)

Proof by Contrapositive:

Assumed statement: Let n be an integer such that n is not odd (i.e. n is an even integer)

Proven Statement: n² is not odd (i.e n² is even)

Proof -

Let n is even

⇒n = 2m

⇒n² = (2m)² = 4m²

⇒n² is even

Hence proved.

Proof by Contradiction:

Assumed statement: Let n be an integer such that n² be odd.

Proven Statement:  suppose that n is not odd (i.e n is even)

Proof -

Let n² is odd

⇒n² is even

⇒n² = 2m

⇒2 | n²

⇒2 | n

⇒n = 2x

⇒ n is even

Contradiction

8 0
3 years ago
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