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
erma4kov [3.2K]
2 years ago
12

Suppose you multiply a whole number greater than 1 by the fraction 3/5. Will the product be greater than, less than, or equal to

3/5?
Mathematics
2 answers:
velikii [3]2 years ago
6 0
The answer will always be greater when multiplying by an integer that is greater than 1.
Virty [35]2 years ago
4 0
Greater than. For example if you multiply 2 by 3/5 the answer is 1 1/5 which is greater than 3/5
You might be interested in
Given that a rectangle has a length of 5/2x + 10 with a width of 5/2x + 5, formulate an expression to represents the area of the
stepan [7]

Answer:

<h3>               A =  ²⁵/₄x² + ⁷⁵/₂x + 50</h3>

Step-by-step explanation:

L = ⁵/₂x + 10

W = ⁵/₂x + 5

A = L•W

A = (⁵/₂x + 10)(⁵/₂x + 5)

A = ⁵/₂x•⁵/₂x + ⁵/₂x•5 + 10•⁵/₂x + 10•5

A = ²⁵/₄x² + ²⁵/₂x + ⁵⁰/₂x + 50

A =  ²⁵/₄x² + ⁷⁵/₂x + 50

Or if yoy mean:

L = 5/(2x) + 10

W = 5/(2x) + 5

A = [5/(2x) + 10][5/(2x) + 5] = 25/(4x²) + 75/(2x) + 50

8 0
3 years ago
An object is heated to 100°. It is left to cool in a room that
stepladder [879]

Answer:

Step-by-step explanation:

Use Newton's Law of Cooling for this one.  It involves natural logs and being able to solve equations that require natural logs.  The formula is as follows:

T(t)=T_{1}+(T_{0}-T_{1})e^{kt} where

T(t) is the temp at time t

T₁ is the enviornmental temp

T₀ is the initial temp

k is the cooling constant which is different for everything, and

t is the time (here, it's in minutes)

If we are looking first for the temp after 20 minutes, we have to solve for the k value.  That's what we will do first, given the info that we have:

T(t) = 80

T₁ = 30

T₀ = 100

t = 5

k = ?

Filling in to solve for k:

80=30+(100-30)e^{5k} which simplifies to

50=70e^{5k} Divide both sides by 70 to get

\frac{50}{70}=e^{5k} and take the natural log of both sides:

ln(\frac{5}{7})=ln(e^{5k})

Since you're learning logs, I'm assuming that you know that a natural log and Euler's number, e, "undo" each other (just like taking the square root of something squared).  That gives us:

-.3364722366=5k

Divide both sides by 5 to get that

k = -.0672944473

Now that we have a value for k, we can sub that in to solve for T(20):

T(20)=30+(100-30)e^{-.0672944473(20)} which simplifies to

T(20)=30+70e^{-1.345888946}

On your calculator, raise e to that power and multiply that number by 70:

T(20)= 30 + 70(.260308205) and

T(20) = 30 + 18.22157435 so

T(20) = 48.2°

Now we can use that k value to find out when (time) the temp of the object cools to 35°:

T(t) = 35

T₁ = 30

T₀ = 100

k = -.0672944473

t = ?

35=30+100-30)e^{-.0672944473t} which simplifies to

5=70e^{-.0672944473t}

Now divide both sides by 70 and take the natural log of both sides:

ln(\frac{5}{70})=ln(e^{-.0672944473t}) which simplifies to

-2.63905733 = -.0672944473t

Divide to get

t = 39.2 minutes

3 0
3 years ago
What is the value of the ratio of the surface area to the volume of the cylinder?
Stella [2.4K]

Answer:

Cylinder Surface Area = (2 • π • r²) + (2 • π • r • height)

Surface Area = (2 * PI * 7^2) + (2*PI*7*22)

Surface Area = 307.8760800518 + 967.6105373057

Surface Area = 1,275.4866173575 Square Inches

Cylinder Volume   =   π • r² • height

Volume = PI * 7^2 * 22

Volume = 3,386.6368805698 Cubic Inches

Surface Area to Volume = 1,275.4866173575 / 3,386.6368805698 =

0.3766233766

Answer is A

Source: https://www.1728.org/diam.htm

Step-by-step explanation:

5 0
3 years ago
What is b’c the length of bc after dilation? What is the measure of
Anastasy [175]

Answer:

C

Step-by-step explanation:

the angle will always stay the same, it won't change

but if the dialation is 1/2, then that means that the sides will decrease in size compared to the original length,

(just divide by 2) on each side length to get the answer

4 0
3 years ago
Find the values of the unknown angles marked with letters. 50 points!!!!!!!
IceJOKER [234]

Answer:

  • a = 115°, alternate interior angles are congruent
  • b = 70°, same as above
  • c = 180° - 115° = 65°, angles forming a straight angle are supplementary
  • d = 180° - 70° = 110°, same as above

3 0
3 years ago
Read 2 more answers
Other questions:
  • 63 decreased by twice Vidya's height
    12·1 answer
  • Suzy earns $7.50 per hour. She worked 32.5 hours last week. What was the amount of her check?
    15·2 answers
  • Write one two sentences explaining the relationship between rate ,ratio and percent
    5·1 answer
  • Bella is interested in buying a $150,000 home. How big does her down
    13·1 answer
  • 2) If 20 workers can build a house in 45 days, how many more workers are needed
    5·2 answers
  • Solve for x<br> 20+.10x=50+.04x
    13·1 answer
  • Which statement accurately describes the vector shown?
    9·2 answers
  • A rectangle has a length of 2x+7 and a width of 3x+8.
    12·1 answer
  • Which one is correct?
    5·1 answer
  • Whats 215x18 000000000000000
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!