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A restaurant uses 290 pounds of onions every 2 and a half weeks. If they

A restaurant uses 290 pounds of onions every 2 and a half weeks. If they continue to use onions at the same rate, how many pounds of onions will they use in 6 weeks?

2 months ago

Solution 1

Guest Guest #3296
2 months ago
290/2.5 = 116 pounds per week

116 * 6 = 696 pounds

Solution 2

Guest Guest #3297
2 months ago
To find the rate of one week, we divide the amount of onions used with every week:
290/2.5 = 116
Now that we have a single rate, we find the amount for 6 weeks:
116*6 = 696
696 pounds are used in 6 weeks

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Solution 1
The correct answer is b
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Julius is buying beverages for brunch he needs to buy a total of 5 gallons of beverages he decides to buy two containers of each of the following beverages 2 pints of milk 2 quarts of orange juice 16 cups of milk 32 oz of lemonade . how many gallons of beverages did he buy
Solution 1
This will be calculated as follows:
1 pint=0.125 gallons
1 quart=0.25 gallons
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1 oz = 0.0078125 gallons
thus amount of :
milk bought
0.125*2=0.25 gallons

orange juice bought:
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milk bought:
16*0.0625=1 gallon

lemonade bought:
32*0.0078125=0.25 gallons

Thus total gallons made was:
0.25+1+0.5+0.25
=2 gallons
Solution 2

The amount of beverages did he buy will be 2 gallons.

What is conversion?

Conversion means to convert the same thing into different units.

Julius is buying beverages for brunch he needs to buy a total of 5 gallons of beverages he decides to buy two containers of each of the following beverages 2 pints of milk, 2 quarts of orange juice, 16 cups of milk, and 32 oz of lemonade.

We know the conversion

1 pint = 0.125 gallons

1 quart = 0.25 gallons

1 cup = 0.0625 gallons

1 oz = 0.0078125 gallons

Then the amount of beverages did he buy will be

Milk bought

0.125 x 2 = 0.25 gallons

Orange juice bought:

0.25 x 2 = 0.5 gallons

Milk bought:

16 x 0.0625 = 1 gallon

Lemonade bought:

32 x 0.0078125 = 0.25 gallons

Thus total gallons made will be

→ 0.25 + 1 + 0.5 + 0.25

→ 2 gallons

More about the conversion link is given below.

brainly.com/question/9414705

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Heather and Joel bought a house for $157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation y = 150000(1.004)12t How much will their house be worth in 8 years?
Solution 1

Heather and Joel bought a house for $157,200 and know that the house appreciates every year. They keep track of their house value for 5 years and model their data with the exponential equation y = 150000(1.004)12t How much will their house be worth in 8 years?

Solution:

Equation of the appreciation of the value of house is given by:-

y=150000(1.004)^{12t}

We need to find the worth of the house after 8 years

So, that means time, t=8

Let us plug t=8 in the equation y=150000(1.004)^{12t}

So, we get,

y=150000(1.004)^{12*(8)}

y=150000(1.004)^{96}

y=150000(1.467021)

y=150000*1.467021

y=220053.20

In 8 years the value appreciates to $220053.20, that s, worth of house after 8 years=$22005320


Solution 2

We have to find value of the house in 8 years so we will plug t=8 years in given equation.

y=150000(1.004)^{\left(12t\right)}

y=150000(1.004)^{\left(12*8\right)}

y=150000(1.004)^{96}

y=150000(1.46702133432)

y=220053.200148

Hence house will worth approx $220053.20 in 8 years.

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The pairs of numbers that multiply up to 80 are (1, 80), (2, 40), (4, 20), (5,16), and (8,10).
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A right triangle has one side, s, and a hypotenuse of 12 meters. Find the area of the triangle as a function of s. A) A(s) = 2s 144 - s2 B) A(s) = s 144 - s2 C) A(s) = 2s 12 - s2 D) A(s) = 12s 144 - s2 10) The base of a ladder is placed 5 feet away from a 13 foot tall wall. What is the minimum length ladder needed to reach the top of the wall (rounded to the nearest foot)? A) 12 ft B) 13 ft C) 14 ft D) 15 ft
Solution 1
Part a)
we know that
area of triangle=b*h/2
b=s
applying the Pythagoras theorem
h²=12²-s²--------> h=√(144-s²)
so
A=(1/2)*s*√(144-s²)
Part b)
applying the Pythagoras theorem
c²=a²+b²
in this problem
c is the minimum length ladder needed to reach the top of the wall
a=5 ft
b=13 ft
so
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the answer is 
14 ft
Question
A right triangle has one side, s, and a hypotenuse of 12 meters. Find the area of the triangle as a function of s. A) A(s) = 2s 144 - s2 B) A(s) = s 144 - s2 C) A(s) = 2s 12 - s2 D) A(s) = 12s 144 - s2 10) The base of a ladder is placed 5 feet away from a 13 foot tall wall. What is the minimum length ladder needed to reach the top of the wall (rounded to the nearest foot)? A) 12 ft B) 13 ft C) 14 ft D) 15 ft
Solution 1

Answer: A(s) = \frac{s\sqrt{144-s^{2} } }{2} ; 10) c) 14ft

Step-by-step explanation:  Area of a triangle is: A = \frac{b.h}{2}

where:

b is base of a triangle

h is height of a triangle

For this right triangle, it is known one side, s, and hypotenuse, 12. To determine the other side, we use Pythagoras Theorem:

hypotenuse² = side² + side²

12^{2} = s^{2} + x^{2}

x^{2} = 12^{2} - s^{2}

x^{2} = 144 - s^{2}

x = \sqrt{144 - s^{2} }

To determine the Area of the right triangle as function of s:

A = \frac{b.h}{2}

A = \frac{1}{2}(s.x)

A = \frac{1}{2} . (s.\sqrt{144 - s^{2} })

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A = \frac{1}{2} . (s.\sqrt{144 - s^{2} })

The ladder and the wall form a right triangle. The height of it is 13 ft, the base is 5ft and the hypotenuse is the length of the ladder. So, to find the minimum length, use Pythagoras Theorem:

hypotenuse² = side² + side²

h² = 13² + 5²

h² = 169 + 25

h = \sqrt{194}

h = 14

The minimum length the ladder has to have to reach the top is 14 ft.

Solution 2
A(s) equals 1/2 s square root of 144 minus s squared.. As s and r are the sides and the area of the triangle are 1/2(s)(r)
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