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Serjik [45]
3 years ago
9

1/4(r-5/2)=1/8 i need an answer cant figure it out

Mathematics
2 answers:
san4es73 [151]3 years ago
5 0
1/4(r - 5/2) = 1/8
Divide both sides by 1/8 :0
2(r - 5/2) = 1
r - 5/2 = 1/2
r = 1/2 + 5/2 = 6/2

r = 3 Answer
egoroff_w [7]3 years ago
5 0
\dfrac{1}{4}(r - \dfrac{5}{2}) = \dfrac{1}{8}

The LCD of both fractions is 8, so multiply both sides by 8.

8 \times \dfrac{1}{4}(r - \dfrac{5}{2}) = 8 \times \dfrac{1}{8}

2(r - \dfrac{5}{2}) = 1

Distribute the 2 on the left side.

2r - 5 = 1

2r = 6

r = 3
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10(x-5)= -80 <br>what is the value of the x​
Fittoniya [83]

Answer:

x = -3

Step-by-step explanation:

10(x-5) = -80

10x - 50 = -80

10x -50 + 50 = -80 + 50

10x = -30

10x ÷ 10 = -30 ÷ 10

x = -3

3 0
2 years ago
Convert the mixed number 3¼ to a percent. <br> A. 314% <br> B. 333% <br> C. 375% <br> D. 325%
vfiekz [6]
Multiply 3.25 by 100 then simplify 325%  The answer is D.
5 0
3 years ago
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What is the irrational number in This set: 12.89, square root of 12 and 12/144 ?
kifflom [539]
Good night, 

<span>Irrational numbers are those that can't be expressed as a fraction:

12.89 can be expressed as: </span>\frac{1289}{100}

\frac{12}{144}= \frac{1}{12}

<span>The above numbers can be expressed as a fraction, then the logical answer is: </span>\sqrt{12}

But we will check the answer: 

\sqrt{12}= \sqrt{2^{2}*3 }  =2* \sqrt{3} =3.4641016...

As you can see we can't express that number as a fraction, so that is te correct answer.

6 0
3 years ago
Find the values of k so that each remainder is three. <br> 10. (x^2+ 5x + 7) = (x + k)
Goryan [66]

Answer:

k=1\text{ or } k=4

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).

We are dividing:

(x^2+5x+7)\div(x+k)

So, a polynomial by a binomial factor.

Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.

We want our remainder to be 3. So, P(a)=P(-k)=3.

Therefore:

(-k)^2+5(-k)+7=3

Simplify:

k^2-5k+7=3

Solve for <em>k</em>. Subtract 3 from both sides:

k^2-5k+4=0

Factor:

(k-1)(k-4)=0

Zero Product Property:

k-1=0\text{ or } k-4=0

Solve:

k=1\text{ or } k=4

So, either of the two expressions:

(x^2+5x+7)\div(x+1)\text{ or } (x^2+5x+7)\div(x+4)

Will yield 3 as the remainder.

5 0
3 years ago
Which statement is correct?
sladkih [1.3K]

Answer:

c

Step-by-step explanation:

A line that rises from left to right has a positive slope.

4 0
3 years ago
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