MATHEMATICS MIDDLE SCHOOL

How to solve 30b=$41.10

Answers

Answer 1
Answer: When you're looking for the answer, you simply divide both sides by 30.
30b/30= b
$41.10/30= $1.37
When you've got any answers like this, you always have to try and get b alone, and you may also have to add digits, or divide, it varies from each equation.
Hope this helps :) 
Answer 2
Answer: divide both sides by 30 and you'll get the value for b.

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Five eighths plus eleven twelves

Answers

five \ eighths \to (5)/(8) \n\n eleven \ twelves \to (11)/(12) \n\n (5)/(8)^((3)+(11)/(12)^((2)= \n\n =(15)/(24)+(22)/(24)= \n\n =\boxed{\boxed{(37)/(24)}}
5/8 + 11/12
make the denominator the same
48 divided by 12 = 4
48 divided by 8 = 6
5 x 6 = 30
11 x 4 = 44
30/48 + 44/48
30 + 44 = 74
74 - 48 = 26
So the answer is 1 and 26/48 in its proper form.
Simplified, it would be 1 and 13/24. Mixed = 37/24 since you'll be adding 24.

Cathie is making a dress with a stash. The stash needs to be 72.9 inches long, but Cathie's measuring tape is only in centimeters. Which of the following shows the number of centimeters with the correct number of significant digits, that Cathie needs to measure in order for the stash to be 72.9 inches long?

Answers

There are 2.54 centimeters in an inch. 

So do 2.54 * 72.9 and you get 185.166.

Marci hiked 15 miles from Park Headquarters to Blue Lake in 5 hours. What was her average speed?

Answers

Answer:

3 miles per hour.

Step-by-step explanation:

15 divided by 5 is 3

each hour he would have covered 3 miles of distance.

Answer:

3 miles per hour

Step-by-step explanation:

The formula for average speed is: R = (D_(total) )/(T_(total) ) R being rate, D being distance, T being time. We substitute the values to get R = (15)/(5) Simplified 3. Her average speed was 3 miles per hour. Hope this helps!

At the end of the ride up a steep hill, Ken was at an elevation of 1600 meters above where he started. He figured out that he and his bicycle had accomplished 1,000,000 joules of work. If Ken has a mass of 52 kg, what is the mass of his bicycle?

Answers

Answer:


Step-by-step explanation:

first place)

in first place you must Know by definition that a joule is defined as the amount of work done by a constant force in a meter of length

and it is 1 J = 1 N ×m = 1 kg ×m/s² ×m= 1 Kg×m²/s²

now you can calculate the time done by ken and his bicycle

1000000 = 52kg×(1600)²/s² = 1000000= 133120000/s²⇒1000000s² = 133120000⇒s²= 133120000/1000000⇒ s² =133,12⇒s =√133,12 = 11,5≅12

12 s is the time that ken with his bicycle ride up to the mountain

second )

having the time you can calculate the work done by ken individually

52kg×(1600)²/(12)² =133120000/ (12)² = 924444,4 and this is the  work done by  ken

Now you must substract  the work done by ken and his bicycle from  the work  done by ken individually in order to know  the work of the bicycle

1000000 joules -924444,4 joules  = 75555,6 joules

Having this amount, you can calculate the mass of the bicycle

and it is 1 J = 1 N ×m = 1 kg ×m/s² ×m= 1 Kg×m²/s²

75555,6 = kg *(1600)²/(12)²⇒ 75555,6 =17777,7kg⇒ Kg = 75555,6/17777,7  = 4,25 kg

the mass of the  ken's bicycle is 4,25 kg

A recipe that yields 12 cups of soup calls for 28 ounces of beef broth.how many ounces of beef broth do you need to make 18 of the soup?

Answers

we know that

A recipe that yields 12 cups of soup calls for 28 ounces of beef broth

so

by proportion

Find the ounces of beef broth needed to make 18 cups of soup

(28)/(12) (ounces)/(cups) =(x)/(18) (ounces)/(cups) \n \n12*x=18*28\n \nx=18*28/12\n \nx=42\ ounces

therefore

the answer is

42\ ounces

10,000-80 what does it equal?

Answers

 10000
-      80
________
  9920
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