Slope Intercept: Y=mx + b
1. Y= -2/3x + -4
2. Y= 1/3x + 7
Lorenas backpack is has the mass of 10000 grams so in kilograms the mass of Lorenas backpack in kilograms would simply be 10 kilograms
Mr. Smith has an online cooking show. Before he films an episode about baking the perfect pound cake, he prepares his ingredients. His recipe calls for 2 1 /2 cups of sugar for the cake and 1 1/ 4 cups of sugar for the vanilla glaze. How many 1 /4 -cup scoops of sugar does he need? Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
Answer:
15
Step-by-step explanation:
We are given
Mr. Smith's recipe calls for 2 1/2 cups of sugar for the cake and 1 1/4 cups of sugar for the vanilla glaze.
The total amount of sugar he would need
2 1/2 + 1 1/4
= (2 + 1) + (1/2 + 1/4)
= 3 3/4 cups of sugar.
We need this amount of sugar in 1/4 cup scoops.
This is calculated as:
let x be the number of scoops needed
x * 1/4 = 3 3/4
x* 1/4 = 15/4 ( 3 3/4 = 15/4)
x= 15
Therefore, he would be needing 15 , 1/4 cup scoop of sugar
-3(5/6)v - 1 = -6(3/4)
To start off, we can simplify by multiplying the fractions with their whole numbers.
-15/6x - 1 = -18/4
Further simplify
-5/2x - 1 = -9/2
Now we can multiply everything times 2 to get rid of the fractions
-5x - 2 = -9
Now we will isolate the x value. Add 2 to both sides.
-5x = -7
Finally, divide all by -5 to get the final answer.
x = 7/5
Hope I helped you out!
Answer: (e-5)^2
Step-by-step explanation:
The box method is a good way to solve this, but for a quick explanation, start by finding a single value that when added gets -10 and when multiplied gets +25. We can find that this term is -5. We the can situate -5 into (e-5)^2 equation, where if you FOIL, you will be back at the unfactored equation. Hope this helps
