Answer:
A candy costs $6.75 and a bag of popcorn costs $7.25
Step-by-step explanation:
Let the cost of one 1 candy=$x
Let the cost of one bag of popcorn=$y
Now, Total Cost Per Item=Number of Item Bought X Price Per Unit Item.
If Nathaniel bought 4 candies and 10 bags of popcorn for a total of 99.50 dollars.
4x+10y=99.50
Grant bought 3 candies and 5 bags of popcorn for a total of 56.50 dollars.
3x+5y=56.50
Solving the two equations simultaneously
4x+10y=99.50 (I)
3x+5y=56.50 (II)
Multiply Equation (I) by 3 and Equation (II) by 4 to eliminate x
12x+30y=298.5
12x+20y=226
Subtracting
10y=72.5
y=$7.25
Now, from (II)
3x+5y=56.50
3x+5(7.25)=56.50
3x+36.25=56.50
3x=20.25
x=20.25/3=$6.75
Therefore a candy costs $6.75 and a bag of popcorn costs $7.25
Answer:
204 inches
Step-by-step explanation:
First, change the 5yd2ft to be just feet.
1 yard = 3 feet
5 yd × 3ft/yd = 15 ft
15 ft + 2ft = 17ft
Next, change to inches.
1 ft = 12 inches
17ft × 12in/ft = 204 in
5 yds 2 ft = 204 in
Answer:
The volume of a rectangular pyramid is 12 the volume of a rectangular prism. The volume of the rectangular pyramid is 85.5 m3.
Step-by-step explanation:
Answer:
1/7
Step-by-step explanation:
<u>Given</u><u> </u><u>series </u><u>:</u><u>-</u><u> </u>
- 1/5 -2/25 +4/125 - 8/625 ( correct)
<u>To </u><u>find</u><u> </u><u>:</u><u>-</u><u> </u>
- The sum of infínite Series .
From the Series , the common ratio will be ,
⇝ CR = -2/25 ÷ 1/5
⇝ CR = -2/25 × 5
⇝ CR = -2/5
<u>Using</u><u> </u><u>formula</u><u> </u><u>of </u><u>GP </u><u>:</u><u>-</u>
⇝ S_∞ = a /1 - r , -1 < r < 1
⇝ S = 1/5 ÷ ( 1 - (-2/5))
⇝ S = 1/5 ÷ ( 1 +2/5)
⇝ S = 1/5 ÷ 5/7
⇝ S= 1/7
There are 1000 ml in 1 liter so
<u>1000ml</u> = <u>0.167ml</u>
1liter x
cross multiply to get 1000x = 0.167; divide both sides by 1000 to get 0.000167 liters