Answer:
Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.
Step-by-step explanation:
and so the aliens will need 56 power pouches for each day of the trip.
Answer:
For ![\[20\]](https://tex.z-dn.net/?f=%5C%5B20%5C%5D)
minutes Elena add water to correct the error.
Step-by-step explanation:
The capacity of the washing machine is gallons.
She uses gram soap for ![\[10\]](https://tex.z-dn.net/?f=%5C%5B10%5C%5D)
gallon of water
Her son by mistake dissolved ![\[60\]](https://tex.z-dn.net/?f=%5C%5B60%5C%5D)
grams of soap to gallons of water.
![\[60\]-](https://tex.z-dn.net/?f=%5C%5B60%5C%5D-)
gram soap is right for ![\[30\]](https://tex.z-dn.net/?f=%5C%5B30%5C%5D)
gallons of water, thus gallon of water must be added more.
She pore water ![\[2\]](https://tex.z-dn.net/?f=%5C%5B2%5C%5D)
gallons per minute thus, gallons of water will takeminutes.
Learn more about equations : brainly.com/question/20727602?referrer=searchResults
Answer:
A. 3.2307692308 batches of Muffins
B. 16 1/4 cups of flour
Step-by-step explanation:
Lauren is making muffins. Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour.
A. Explain a method for determining the number of batches of the muffin recipe Lauren can make. Then use your method to find the number of batches she can make.
Her muffin recipe calls for 3 1 −4 cups of flour. She has 10 1 −2 cups of flour.
3 1/4 cups of flour = 1 batch of Muffin recipe
10 1/2 cups of flour = x
3 1/4 × x = 10 1/2 × 1
x = 10 1/2 ÷ 3 1/4
x = 21/2 ÷ 13/4
x = 21/2 × 4/13
x = 42/13
x = 3.2307692308 batches of Muffins
B. If Lauren plans to make 5 batches of the muffin recipe, use what you know about operating with rational numbers to predict the amount of flour she needs. Justify your prediction.
3 1/4 cups of flour = 1 batch of Muffin recipe
Hence,
1 batch = 3 1/4 cups of flour
5 batches = x
Cross Multiply
x = 5 × 3 1/4 cups of flour
x = 5 × 13/4
x = 65/4
x = 16 1/4 cups of flour
Answer:
The base is 19.5.
Step-by-step explanation:
The given question is, "The perimeter of a rectangle is 58 and its base exceeds its width by 10, how long is the base?"
Perimeter = 58
Base, l = 10+b
The perimeter of a rectangle is :
P = 2(l+b)
58 = 2(10+b+b)
29 = (10+2b)
29-10 = 2b
19 = 2b
b = 9.5
Base, l = 10 + 9.5
= 19.5
Hence, the base is 19.5.
