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2 months ago

Guest #3299

2 months ago

If 1 box weighs 7.5 pounds, then we find the weight for 15 boxes with this equation:

15*7.5

Multiply:

112.5

**15 boxes weight 112.5 pounds**

15*7.5

Multiply:

112.5

Question

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?

Solution 1

290/2.5 = 116 pounds per week

116 * 6 = 696 pounds

116 * 6 = 696 pounds

Solution 2

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**

290/2.5 = 116

Now that we have a single rate, we find the amount for 6 weeks:

116*6 = 696

Question

2 blue shirts 1 white shirt
1 red shirt
2 black slacks
1 white pair of pants
1 pair of jeans
1 pair of sandals
2 pairs of running shoes
Alex is on vacation and has the clothes listed above with her. She is trying to pick out an outfit. What is the probability she chooses a red shirt and a pair of jeans?
Â Â A) 0.01Â Â Â B) 0.06Â Â Â C) 0.08Â Â Â D) 0.5

Solution 1

The correct answer is b

Question

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

1 cup = 0.0625 gallons

1 oz = 0.0078125 gallons

thus amount of :

milk bought

0.125*2=0.25 gallons

orange juice bought:

0.25*2=0.5 gallons

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

1 pint=0.125 gallons

1 quart=0.25 gallons

1 cup = 0.0625 gallons

1 oz = 0.0078125 gallons

thus amount of :

milk bought

0.125*2=0.25 gallons

orange juice bought:

0.25*2=0.5 gallons

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.

**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

â†’ 0.25 + 1 + 0.5 + 0.25

â†’ 2 gallons

More about the **conversion **link is given below.

#SPJ2

Question

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:-

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

So, we get,

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.

Hence house will worth approx $220053.20 in 8 years.

Question

Nancy wove a pot holder with a area of 80 square inches. The lengths and widths of the sides are whole numbers. Which dimensions make the most sense for a potholder? Explain

Solution 1

The pairs of numbers that multiply up to 80 are (1, 80), (2, 40), (4, 20), (5,16), and (8,10).

Since pot holders are normally close to squares, 8 by 10 makes the most sense

Since pot holders are normally close to squares, 8 by 10 makes the most sense

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

Part a)

we know that

area of triangle=b*h/2

b=s

applying the Pythagoras theorem

hÂ²=12Â²-sÂ²--------> h=âˆš(144-sÂ²)

so

A=(1/2)*s*âˆš(144-sÂ²)

Part b)

applying the Pythagoras theorem

cÂ²=aÂ²+bÂ²

in this problem

c isÂ the minimum length ladder needed to reach the top of the wall

a=5 ft

b=13 ft

so

Â cÂ²=5Â²+13Â²-----> cÂ²=194--------> c=13.93 ft-------> c=14 ft

**the answer isÂ **

**14 f**t

we know that

area of triangle=b*h/2

b=s

applying the Pythagoras theorem

hÂ²=12Â²-sÂ²--------> h=âˆš(144-sÂ²)

so

A=(1/2)*s*âˆš(144-sÂ²)

Part b)

applying the Pythagoras theorem

cÂ²=aÂ²+bÂ²

in this problem

c isÂ the minimum length ladder needed to reach the top of the wall

a=5 ft

b=13 ft

so

Â cÂ²=5Â²+13Â²-----> cÂ²=194--------> c=13.93 ft-------> c=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) = ; 10) c) 14ft

**Step-by-step explanation: Â **Area of a triangle is: A =

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:

hypotenuseÂ² = sideÂ² + sideÂ²

x =

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

A =

A = (s.x)

A = . (s.)

Therefore, the area of the right triangle is:

__A = ____ . (s.____)__

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:

hypotenuseÂ² = sideÂ² + sideÂ²

hÂ² = 13Â² + 5Â²

hÂ² = 169 + 25

h =

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)

Question

What is the ratio of 5 gallons blue paint to 9 gallons of yellow paint?

Solution 1

Wouldn't you divide? If so, 5/9 = 0.6

Solution 2

The ratio would be 1:1.8 (1 to 1.8).

This can be found by dividing 5 by 5 ( making the ratio say 1 to...) and dividing 9 by 5 giving you 1.8. Thus makin* the ratio 1:1.8 or 1 to 1.8.

I hope this helps!

This can be found by dividing 5 by 5 ( making the ratio say 1 to...) and dividing 9 by 5 giving you 1.8. Thus makin* the ratio 1:1.8 or 1 to 1.8.

I hope this helps!

Question

Simplify x to the 5/8 over x to the 1/8

Solution 1

Question

How many times are equal to 40000 pounds

Solution 1

1 poundÂ Ã— 40,000 = 40,000 pounds.

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