Y = -3x - 1......so we sub in -3x - 1 in for y in the other equation
2x + 5y = 12
2x + 5(-3x - 1) = 12....now distribute the 5 through the parenthesis
2x - 15x - 5 = 12...add 5 to both sides
2x - 15x = 12 + 5..combine like terms
-13x = 17...divide both sides by -13
x = -17/13
now sub in -17/13 for x in the other equation
y = -3x - 1
y = -3(-17/13) - 1
y = 51/13 - 1
y = 51/13 - 13/13
y = 38/13
so the solution is (-17/13, 38/13)
28 - 18 = 10.
150 x 10 = 1500
So all you've got to do is..
150 x 1500 = ???
You can do the rest lol
Based on the two different purchases, you can write equations for the price of a hotdog (h) and that of a drink (d). These equations can be solved by your favorite method to find the individual prices.
... 6h +4d = 17.00 . . . . . . Carl's purchase
... 3h +4d = 12.50 . . . . . . Susan's purchase
We can see that the difference in purchase cost (of $4.50) is due entirely to the difference in the number of hotdogs (3). Thus, the price of a hotdog must be
... $4.50/3 = $1.50
The 4 drinks are then ($12.50 -4.50) = $8, so must be $2 each. You don't need to figure the cost of a drink to determine that the appropriate answer choice is ...
... D. $1.50 for a hot dog; $2.00 for a drink.
Answer:
p<55 or p+48≤55
Step-by-step explanation:
p+48=55
p<55
I don't really know how else to write it?
Answer:
1. pounds (lb)
2. pints (pt)
3. teaspoon (tsp)
4. cups (c)
Step-by-step explanation:
<h3><u>US Standard Units</u></h3>
<u>Liquid</u>
- Fluid Ounces (fl oz)
- Cups (c)
- Pints (pt)
- Quarts (qt)
- Gallons (gal)
128 fl oz = 16 cups = 8 pints = 4 quarts = 1 gallon
<u>Mass</u>
- Ounces (oz)
- Pounds (lb)
- Tons (short ton)
32000 ounces = 2000 pounds = 1 ton
<h3><u>Solutions</u></h3>
1. The best US standard unit in which to measure pumpkin with a mass of 1.2 kg would be pounds (lb).
⇒ 1 kg ≈ 2.205 lb
⇒ 1.2 kg ≈ 1.2 × 2.205 = 2.65 lb
2. The best US standard unit in which to measure stock with a volume of 1.5 L would be pints (pt).
⇒ 1 L ≈ 2.133 pt
⇒ 1.5 L ≈ 1.5 × 2.113 = 3.17 pt
3. The best US standard unit in which to measure sugar of 5 mL would be teaspoon (tsp).
⇒ 5 mL = 5 g ≈ 1 teaspoon
4. The best US standard unit in which to measure yogurt with a volume of 0.25 L would be cups (c).
⇒ 1 L ≈ 4.167 c
⇒ 0.25 L ≈ 0.25 × 4.167 = 1.04 c
