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
zaharov [31]
3 years ago
7

I a, very confused on what the answer is to blank- 3/10=1/5

Mathematics
1 answer:
Yuri [45]3 years ago
4 0

Answer:

a = 1/2

Step-by-step explanation:

a - 3/10 = 1/5

Add 3/10 to each side

a - 3/10 +3/10 = 1/5+3/10

a = 1/5+3/10

Get a common denominator

a= 1/5*2/2  +3/10

a = 2/10 +3/10

a = 5/10

Divide the top and bottom by 5

a = 1/2

You might be interested in
Which fraction expresses 36/80 in lowest terms? Please help me ;D
JulijaS [17]
To reduce<span> a </span>fraction to lowest terms<span> (also called its simplest form), divide both the numerator and denominator by the GCD. For example, 2/3 is in </span>lowest<span> form, but 4/6 is not in </span>lowest<span> form (the GCD of 4 and 6 is 2) and 4/6 can be expressed as 2/3.

38/80= 19/40
</span>
3 0
3 years ago
Which math problem is being modeled on the number line
Sergio [31]
The answer is D because it’s going backwards. In the end the number line and the expression still have the same answer which is -20
6 0
3 years ago
Kyle boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotat
SpyIntel [72]

Answer:

a) The expression for the change in angular position is \theta = 5\cdot t.

b) The expression for the height of Ryan regarding the center of the Ferris wheel is H(t) = 40\cdot \sin (5\cdot t).

c) The expression for the height of Ryan above the ground is H(t) = 40\cdot \sin (5\cdot t) + 47.

Step-by-step explanation:

The statement is incomplete. Complete form is introduced below:

<em>Kyle boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5 radians per minute and has a radius of 40 feet. The center of the Ferris wheel is 47 feet above the ground. Let t represent the number of minutes since the Ferris wheel stated rotating.</em>

<em>a)</em><em> Write an expression (in terms of t) to represent the varying number of radians </em>\theta<em> Ryan has swept out since the ride started.</em>

<em>b)</em><em> Write an expression (in terms of t) to represent Ryan's height (in feet) above the center of the Ferris wheel.</em>

<em>c)</em><em> Write an expression (in terms of t) to represent Ryan's height (in feet) above the ground. </em>

a) Let suppose that Ferris wheel rotates counterclockwise. As the Ferris wheel rotates at constant rate, this kinematic expression can be used to determine the change in angular position (\theta), in radians:

\theta = \omega \cdot t (1)

Where:

\omega - Angular velocity, in radians per minute.

t - Time, in second.

If we know that \omega = 5\,\frac{rad}{min}, then the expression for the change in angular position is \theta = 5\cdot t.

b) Geometrically speaking, Ryan's height with respect to the center of the Ferris wheel is described by the following formula:

H(t) = r \cdot \sin (\omega\cdot t) (2)

Where:

r - Radius of the Ferris wheel, in feet.

H(t) - Height of Ryan with respect to the center of the Ferris wheel, in feet.

If we know that \omega = 5\,\frac{rad}{min} and r = 40\,ft, then the expression for the height of Ryan regarding the center of the Ferris wheel is H(t) = 40\cdot \sin (5\cdot t).

c) We use the following geometric expression to model Ryan's height above the ground:

H(t) = r\cdot \sin (\omega\cdot t) +h_{o} (3)

Where h_{o} is the height of the center of the Ferris wheel above the ground, in feet.

If we know that h_{o} = 47\,ft, \omega = 5\,\frac{rad}{min} and r = 40\,ft, then the expression for the height of Ryan above the ground is H(t) = 40\cdot \sin (5\cdot t) + 47.

5 0
3 years ago
At the end of 2​ years, P dollars invested at an interest rate r compounded annually increases to an​ amount, A​ dollars, given
Valentin [98]

Answer:

40%.

Step-by-step explanation:

We have been given that an amount of $100 compounded annually is increased to ​$196 in 2 years. We are asked to find the interest rate.

We will use compound interest formula to solve our given problem.

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

Upon substituting our given values in above formula, we will get:

196=100(1+\frac{r}{1})^{1*2}

196=100(1+r)^{2}

\frac{196}{100}=\frac{100(1+r)^{2}}{100}\\\\1.96=(1+r)^2

(1+r)^2=1.96

Take positive square root of both sides:

\sqrt{(1+r)^2}=\sqrt{1.96}

1+r=1.4\\\\1-1+r=1.4-1\\\\r=0.4

Since interest rate is in decimal, form, so we will convert it into percentage as:

0.4\times 100\%=40\%

Therefore, the interest rate was 40%.

5 0
3 years ago
Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Let m = the number
bulgar [2K]

answer: is 34

Step-by-step explanation:M=50 so $0.35-50

3 0
3 years ago
Other questions:
  • Which expression is equal to 5^4 ⋅ 5^8?
    7·2 answers
  • Help me asap! I will mark you brainly and a heart tysm!<br><br><br> :D
    10·2 answers
  • Catherine is a sixth grader at her school. The sixth graders are collecting food items to donate to the local shelter. Their goa
    13·1 answer
  • I am stuck on this question please help and explain to
    5·1 answer
  • how do you find the scale factor dilated? ( not sure how to figure this out but if someone does help, it’d be appreciated! )
    5·1 answer
  • Jeremy is packaging a stew containers.There are 8 3/4 cups of stew that need to put into 5 to go containers equally.How many cup
    6·2 answers
  • Sabe-se que no inventário periódico, o registro contábil do estoque de mercadorias ocorrerá apenas no final de um determinado pe
    13·1 answer
  • (ii) 5ab +5 - 6ab - 1<br> How to do this ?
    5·1 answer
  • a factory produce 1188440 bulbs in one year (365 days) how many bulbs did it produce in the month of August​
    14·1 answer
  • Find the surface area of the composite figure.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!