Answer:
9 quarters
Step-by-step explanation:
From the question
Jesse has $3.40 in quarters and nickels
Quarters = q = number of quarters
1 quarter = $0.25
nickels = n = number of nickels
1 nickel = $0.05
Hence,
0.25q + 0.05n = $3.40 .......Equation 1
The number of nickels is 5 more than 2 times the number of quarters.
n = 2q + 5
0.25q + 0.05n = $3.40 .......Equation 1
0.25q + 0.05(2q + 5) = 3.40
0.25q + 0.10q + 0.25= 3.40
0.35q = 3.40 - 0.25
0.35q = 3.15
q = 3.15/0.35
q = 9
Therefore, Jessie has 9 quarters.
Answer:
Step-by-step explanation:
Adam plans to choose a video game from a section of the store where everything is 75% off.
The expression written by him for this situation is d - 0.75d.
Here, the part d represents the sale price before discount and the part 0.75d is the discount amount.
The expression written by Rena is 0.25d.
Here, the part 0.25d is the price after discount. Since 75% is the discount, the rate after disount is 25% and 25% of d is 0.25d.
This question is incomplete
Complete Question
Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar. Let x = the number of packages of pasta and y = the number of jars of pasta sauce. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry? Explain your reasoning.
Answer:
Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.
Step-by-step explanation:
Let
x = the number of packages of pasta
y = the number of jars of pasta sauce.
He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.
x + 1.5y ≤ 20....... Equation 1
x = 20 - 1.5y
x × $1 + y × $3 = $36
x + 3y ≤ 36..... Equation 2
20 - 1.5y + 3y = 36
-1.5y + 3y = 36 - 20
1.5y = 16
y = 16/1.5
y = 8
And x = 8
Therefore,
Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.
Co-interior properties. 180 degrees = two co-interior angles.
180 = (2y+50) + (3y+40)
180 = 5y + 90
90 = 5y
/5 /5
18 = y
Angle 1: 2y + 50
2(18) + 50
36 + 50
86
Angle 2: 3y + 40
3(18) + 40
54 + 40
94
86 + 94 = 180 so it is true.
Now the sides.
On a parallelogram, 5x+2 and 8x-7 must be equal
5x + 2 = 8x - 7
2 = 3x - 7
9 = 3x
/3 /3
3 = x
Side 1: 5x + 2
5(3) + 2
15 + 2
17
Side 2: 8x - 7
8(3) - 7
24 - 7
17
Both sides are equal; 17.
Angle 1: 86
Angle 2: 94
Sides: 17
