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
agasfer [191]
2 years ago
6

Which equation shows how to use equivalent fractions to evaluate 2 5 + 3 4 5 2 ​ + 4 3 ​ start fraction, 2, divided by, 5, end f

raction, plus, start fraction, 3, divided by, 4, end fraction?
Mathematics
1 answer:
damaskus [11]2 years ago
8 0

Answer:

2/5 + 3/4 = 23/20

Step-by-step explanation:

Given

2/5 + 3/4

To evaluate this using equivalent fractions, we have to make the fractions have the same denominators, in such a way that the value of each fraction is unchanged.

First consider the denominators of each fractions: 5 and 4. Their lowest common multiple is 5×4 = 20.

20/4 = 5, and 20/5 = 4

Now, 2/5 = (2×4)/(5×4) = 8/20

and 3/4 = (3×5)/(4×5) = 15/20

So

2/5 + 3/4 = 8/20 + 15/20

= (8+15)/20 = 23/20

Therefore,

2/5 + 3/4 = 23/20

You might be interested in
-a(n)=-5+6(n-1) find the 12th term
mamaluj [8]

Answer:

  61

Step-by-step explanation:

Put 12 where n is, then do the arithmetic.

  a(12) = -5 +6(12-1) = 61

_____

We assume you didn't really mean to show an equation for -a(n). If you did, then the term you want is -61.

8 0
2 years ago
Evaluate the following
IRINA_888 [86]

(a) [\frac{9}{2.6}  - \frac{2.5^{2} }{2.5} ]^{2}

Answer:

[\frac{9}{2.6}  - \frac{2.5^{2} }{2.5} ]^{2}

= [\frac{9}{2.6}  - \frac{2.5*2.5 }{2.5} ]^{2}

= [\frac{9}{2.6}  - \frac{2.5}{1} ]^{2}

*canceling 2.5 in numerator and denominator*

= [\frac{9-(2.5)(2.6)}{2.6} ]^2\\*Using L.C.M of 2.6 and 1 which comes out to be '2.6'= [\frac{9-(6.5)}{2.6} ]^2\\= [\frac{2.5}{2.6} ]^2\\*multiplying and dividing by '10'= [\frac{2.5*10}{2.6*10} ]^2\\= [\frac{25}{26} ]^2\\= \frac{25^2}{26^2}\\= \frac{625}{676}\\= 0.925

Properties used:

Cancellation property of fractions

Least Common Multiplier(LCM)

The least or smallest common multiple of any two or more given natural numbers are termed as LCM. For example, LCM of 10, 15, and 20 is 60.

(b) [[\frac{3x^{a}y^{b}} {-3x^{a} y^{b} } ]^{3}    ] ^{2}

Answer:

[[\frac{3x^{a}y^{b}} {-3x^{a} y^{b} } ]^{3}] ^{2}\\

*using [x^{a}]^b = x^{ab}*

= [\frac{3x^{3a}y^{3b}} {-3x^{3a} y^{3b} }] ^{2}        

*Again, using [x^{a}]^b = x^{ab}*

= \frac{3x^{2*3a}y^{2*3b}} {-3x^{2*3a} y^{2*3b} }  \\= (-1)\frac{3x^{6a}y^{6b}} {3x^{6a} y^{6b} }\\[\tex]*taking -1 common, denominator and numerator are equal*[tex]= -(1)\frac{1}{1}\\= -1

Property used: 'Power of a power'

We can raise a power to a power

(x^2)4=(x⋅x)⋅(x⋅x)⋅(x⋅x)⋅(x⋅x)=x^8

This is called the power of a power property and says that to find a power of a power you just have to multiply the exponents.

3 0
3 years ago
What’s the right answers?
Umnica [9.8K]
The answer will be D
3 0
3 years ago
Solve for x trignometry
BigorU [14]

9514 1404 393

Answer:

  23.44

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

  Tan = Opposite/Adjacent

  tan(38°) = x/30

  x = 30·tan(38°) ≈ 23.4386

  x ≈ 23.44

3 0
3 years ago
Write the point-slope form of the equation for a line that passes through (6,-1) with a slope of 2​
Vika [28.1K]

Answer: y + 1 = 2(x-6)

Step-by-step explanation:

Point Slope Form is y-y₁=m(x-x₁), and all you have to so is substitute in the values that you were given. So, the slope is 2, so you substitute that value in for m. Then, you substitute 6 in for x₁ (because 6 is the x value of the coordinate you were given) and you substitute -1 for y₁ (and it becomes positive because two negatives make a positive)

Hope this was helpful! Please feel free to ask me any questions!

3 0
2 years ago
Read 2 more answers
Other questions:
  • The lifespans of tigers in a particular zoo are normally distributed. The average tiger lives 22.4 years; the
    10·1 answer
  • Write the multiplier or divisor for each pair of equivalent fractions 1/4 = 7/28
    7·1 answer
  • Perform the function compositions
    12·1 answer
  • Answer please and thank you
    8·2 answers
  • Help loll i’m confused
    10·1 answer
  • Which choices are equivalent to the fraction below? Check all that apply.
    12·2 answers
  • My last one, can some plz helps me ​
    6·1 answer
  • Tyler’s brother works in a shoe store.
    7·1 answer
  • 4 times as much as the sum of 1/5 and 2/3
    11·2 answers
  • Simplify 7^7 x 7^3
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!