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ankoles [38]
3 years ago
14

The man paid $21 for a book bag that was taxed 20%. What was the original price of the bag?

Mathematics
2 answers:
tiny-mole [99]3 years ago
8 0
15 im guessing i dont know
Vlad1618 [11]3 years ago
7 0

Answer:

15

Step-by-step explanation:

You might be interested in
The exclamation point (!) on a billboard consists of a circle sector and circle. The radius of the sector is 9 ft, and the radiu
harina [27]

Answer:

  24.0 square feet

Step-by-step explanation:

The area of the sector is given by ...

  A = (1/2)r²θ . . . . . where θ is the angle in radians

The area of the circle is the same, with θ=2π, so is ...

  A = πr²

__

In this problem, the area of the sector is ...

  A = (1/2)(9 ft)²(24π/180) = 27π/5 ft² ≈ 16.9646 ft²

The area of the circle is ...

  A = π(1.5 ft)² = 9π/4 ft² ≈ 7.0686 ft²

Then the total area of the exclamation point is ...

  16.9646 +7.0686 ≈ 24.0 . . . ft²

The area is about 24.0 square feet.

8 0
3 years ago
1.)Find the height of a rectangular prism if the surface area is 148 cm2, the width is 4 cm and the length is 5 cm.
Contact [7]
1) surface of a rectangular prism=2(length x width)+2(length x height)+2(width x height)

Therefore:
148 cm²=2(5 cm x 4 cm)+2(5 cm x h)+2(4 cm x h)=
148 cm²=40 cm²+10 cm h+8 cm h
18 cm h=148 cm²-40 cm²
18 cm h=108 cm²
h=108 cm² / 18 cm=6 cm.

answer: height=6 cm 

2)
Volume of a rectangular prism= length x width x height 
therefore:
34 cm³=(1.7 cm)(0.5 cm) h
0.85 cm² h=34 cm³
h=34 cm³/0.85 cm²
h=40 cm.

answer: height=40 cm

3)
volume of a cylinder: πr²h
therefore.
118.79 ft³=πr²(5 ft)
r=√(118.79 ft³/5π ft)≈2.75 ft

answer: radius=2.75 ft

4)
 
Surface area of the pyramid with square base=4(A side)+A base
A side=(1/2)(8ft)(12 ft)=48 ft²
A base=(8 ft)(8 ft)=64 ft²

surface area=4(48 ft²)+64 ft²=256 ft²

Answer: the surface area of this pyramid would be 256 ft².

5)
surface of a cone=πrs+πr²
therefore:
radius=diameter/2=6.2 ft/2=3.1 ft
63.3 ft²=π(3.1 ft) s+π(3.1 ft)²
3.1π ft s=33.109 ft²
s=33.109 ft² /3.1π ft
s≈3.4 ft

Answer: the slant height would be 3.4 ft.

6)
volume of a square pyramid=(area of base x heigth)/3
therefore:
area of base=(6 ft)(6 ft)=36 ft²
126.97 ft³=36 ft² h /3
h=126.97 ft³/12 ft²=10.58 ft

answer: the height would be 10.58 ft.

7)
volume of a cone =(base x height)/3
base of a cone=πr²
therefore: 
199.23 cm³=πr²(9 cm)/3
r=√(199.23 cm³ / 3π cm)≈4.6 cm

answer: the radius would be 4.6 cm.

5 0
3 years ago
Is this sequence arithmetic? If so, what is the common difference (d)? 12, 19, 26, 33
Kitty [74]

Answer:

+7

Step-by-step explanation:

Yes it is.

The common difference is +7

8 0
3 years ago
Read 2 more answers
Question 1<br> What is the solution of n² - 49 = 0?<br> 0 +7<br> 07<br> -7<br> O no solution
Sphinxa [80]
Hey there!

This can be written as n^{2}-(7)^{2}

This is in form of \fbox{a^{2}-b^{2}} , it can be expanded as \fbox{(a-b)(a+b)}

=> (n-7)(n+7)=0
=> n -7 = 0 or n + 7 = 0
=> n = 7 or n = -7

So option 7 , -7 are correct.

Hope this is clear :)
Have a good day:)
7 0
2 years ago
Read 2 more answers
4 divided by 5 long division <br> I need help on this please
raketka [301]

1 with a remainder of 1

4 0
3 years ago
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