1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna [14]
3 years ago
5

When a number is increased by 2.8%, the result is 56. What is the original number to

Mathematics
1 answer:
Sever21 [200]3 years ago
6 0

Answer:

The original number was 54.5.

Step-by-step explanation:

If a number is increased by 2.8%, then it is 102.8% of it's original number.

In mathematics, "of" in virtually all cases means "multiplied by".

Therefore, we do the opposite:

1. Convert to a decimal.

102.8% = 1.028

2. Divide by the decimal.

56 \div 1.028 = 54.47

3. Round it to the nearest tenth.

54.47 rounds to 54.5.

You might be interested in
In order for this ratio of volumes to be true, what measurements would have to be equal in all 3 solids?
Neporo4naja [7]

The measurements of the figures that should be equal in order for the ratio of volumes between the volumes of the cone, sphere, and cylinder of 1:2:3 to be true is; The radius and the height

<h3>What is a ratio?</h3>

A ratio is a comparison between the magnitudes or measurements of items, expressing the number of times one item in the ratio is contained within another item in the ratio.

The formula for the volume of a cone, V_p is, V_p = (1/3)·π·r₁²·h₁

The formula for the volume of a sphere, V_s, is V_s = (4/3)·π·r₂³

The formula for the volume of a cylinder, V_c, is V_c = π·r₃²·h₃

The ratio of the volumes in the question is 1:2:3

Therefore; The volume of the sphere is twice the volume of the cone, and the volume of the cylinder is three times the volume of the cone, which indicates;

(4/3)·π·r₂³ = 2 × (1/3)·π·r₁²·h₁...(1)

π·r₃²·h₃ = 3 × (1/3)·π·r₁²·h₁...(2)

Equation (1) indicates that we have;

(4/3)·π·r₂³ = 2 × (1/3)·π·r₁²·h₁

Where, h₁ = 2·r₂, we get;

(4/3)·π·r₂³ = 2 × (1/3)·π·r₁²·(2·r₂) = (4/3)·π·r₁²·r₂

Therefore; r₁ = r₂, and the diameter of the sphere is equal to the height of the cone

The radius of the cone is equal to the radius of the sphere

Equation (2) indicates;

π·r₃²·h₃ = 3 × (1/3)·π·r₁²·h₁ = π·r₁²·h₁

Therefore;

r₃²·h₃ = r₁²·h₁

r₃ = r₁

h₃ = h₁

The radius of the cone = The radius of the cylinder

The height of the cone = The height of the cylinder

  • The ratio of the volumes, 1 : 2 : 3 is true when the measurements of the radius and the height are equal for all three solids.

Learn more about the volume of regular solids here:

brainly.com/question/15316195

#SPJ1

4 0
1 year ago
I need help with this
olga55 [171]
3:5 -> 6:10, 9:15, 12:20
8:10-> 4:5,16:20, 24:30
6:8 -> 3:4, 12:16, 30:40
6:18 -> 3:9, 12:36, 30:90
4:8 -> 1:2, 8:16, 12:24
3 0
2 years ago
8. Which of the following does NOT deseribe a
topjm [15]

Answer:

B. a decimal that does not terminate and does

not repeat.

7 0
2 years ago
Type SSS, SAS, ASA, SAA, or HL to<br> justify why the two larger triangles are<br> congruent.
kipiarov [429]

Answer:

SAS

Step-by-step explanation:

It doesnt show the hypotenuse so its no HL

It doesnt show 2 angles so its not SAA or ASA

It doesnt show three sides so its not SSS

The little line indicates that the sides are congruent. They both have a right angle and the bottom lines are right on top of each other so its SAS

3 0
3 years ago
I need to know the answer to 2 1/3 x 4/5
Sever21 [200]

Answer:

Simplify the expression.

Exact Form:

28/15

Decimal Form:

1.8¯6

Mixed Number Form:

1 13/15

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • I really need help!!!ASAP!!!
    11·1 answer
  • Michael exchanged 1000 US dollars for the Croatian currency, which is called the Kuna.The exchange rate was 5.81 Kuna to 1 dolla
    13·2 answers
  • What is missing blank
    15·2 answers
  • Simplify the following expression (x+3)(x+5)
    10·1 answer
  • Find m&lt;1.<br> A.63<br> B.69<br> C.76<br> D.63
    8·1 answer
  • complete the solution of the equation find the value of y when x equals -14 equation is 2 - x - 3 y equals 49 what is the answer
    8·1 answer
  • What are some non-price level factors that cause the aggregate demand curve to shift left or right (and in which direction will
    8·1 answer
  • 17. Prove that:<br>1 -- secA + tanA / 1 + Sec A – tan A =<br>SecA + tanA – 1 / secA + tanA + 1​
    12·1 answer
  • There are 20 people in a room, If they all shake each other's hands once and only once, HOW MANY handshakes are there altogether
    12·2 answers
  • Find the value of x²+y² if <br>x+y=9 xy=14​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!