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Shtirlitz [24]
3 years ago
10

Yesterday morning Kathryn had 105 dollars. She first spent 1/3 of it at the mall. She counted her money. Later, she went to the

movies and spent 5/7 of what was left after her shopping. How much money does she have now?
Mathematics
2 answers:
Katen [24]3 years ago
7 0

Answer: she has $20 left now.

Step-by-step explanation:

The total amount of money that Kathryn had yesterday was 105 dollars.

She first spent 1/3 of it at the mall. This means that the amount of money that she spent at the mall is

1/3 × 105 = $35

The amount left after her shopping would be 105 - 35 = $70

Later, she went to the movies and spent 5/7 of what was left after her shopping. This means that the amount of money that she spent at the movies is

5/7 × 70 = $50

The amount that she has left now is

70 - 50 = $20

DaniilM [7]3 years ago
6 0

Answer:

20$

Step-by-step explanation:

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Help me please I need this done quick
Anna11 [10]
Answer:
1058.4 in^2

Step-by-step explanation:
Find the surface areas of the rectangular prism and the triangular prisms separately.
Triangular: S = (1/2)lP+B, where l is slant height, P perimeter, and B base area.
14(4)= 56 perimeter of base
13 slant height
B = 14x14 = 196
put together:
S = (1/2)(13 x 56) + 196
S = 560 in^2

Now the rectangular prism
S = 2lw + 2lh + 2wh, where l is length, h height, w width. (delete the first 2lw since they share one side/they're combined shapes.
S = 2(14x8.9) + 2(14x8.9)
S = 498.4 in^2

Add them together: 498.4 + 560 = 1058.4 in^2
7 0
3 years ago
(1) Solve this system using the substitution method: y = 2x – 3; y = (1/2)x - 4
Darya [45]

Answer:

X=2

Step-by-step explanation:

y= 2x- 3

1/2x= 2x-3

1/2x-2x= -3

x-4x= 2*-3

-3x=-6

x=2

8 0
3 years ago
A hollow ball is made of rubber that is 2 centimeters thick. The ball has a radius to the outside surface of 6 centimeters.
saveliy_v [14]

Answer:

The approximate volume of rubber used to make the ball is 636.4 cm³ ⇒ 3rd answer

Step-by-step explanation:

The formula of the volume of a sphere is V = \frac{4}{3} π r³, where r is its radius

∵ The hollow ball is shaped a sphere

∵ The ball has a radius to the outside surface of 6 centimeters

∴ The outer radius = 6 centimeters

∵ The ball is made of rubber that is 2 centimeters thick

∴ The thickness of the rubber = 2 centimeters

- The difference between the outside radius and the inside

    radius is equal to the thickness of the rubber

∴ The inner radius = 6 - 2 = 4 centimeters

The volume of the rubber = the outer volume - the inner volume

Lets calculate the outer and inner volumes

∵ V = \frac{4}{3} π r³

∴ V(inner) = \frac{4}{3} (3.14)(4)³

∴ V(inner) = 267.95 cm³

∴ V(outer) = \frac{4}{3} (3.14)(6)³

∴ V(outer) = 904.32 cm³

- By using the rule above find the volume of the rubber

∵ The volume of the rubber = 904.32 - 267.95

∴ The volume of the rubber = 636.37 cm³

- Round it to the nearest tenth

∴ The volume of the rubber = 636.4 cm³

The approximate volume of rubber used to make the ball is 636.4 cm³

5 0
3 years ago
The ratio of boys to girls in a class is 2:3. Ben says there are 28 students inthe class. Explain why Ben must be wrong.
sdas [7]
A: adding together 2 and 3 a bunch of times
2+3+2+3+2+3 etc does not equal 28. a possible answer can be 27 students.
8 0
3 years ago
X+9=24 how to solve for x
rodikova [14]
You can easily do just one step to get the value of x.

x + 9 =24            subtract 9 from both sides

x + 9 - 9 = 24 - 9

Simplify:

x = 15


I hope I helped you.



5 0
3 years ago
Read 2 more answers
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