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____ [38]
4 years ago
14

14 1/4 - 10 3/7 Reduce to lowest form.... step by step to see if my answer your answer

Mathematics
2 answers:
mr_godi [17]4 years ago
5 0
Make them improper fractions:
14 1/4 would be 57/4
10 3/7 would be 73/7
Make them the same common denominator:
Times 57/4 by 7/7 =399/28
Times 73/7 by 4/4 =292/28
Now subtract them:
107/28 
Now Simplify:
107/28= (3*28+23)/28=3+23/28= 3 23/28
The Answer:
3 23/28

AlladinOne [14]4 years ago
3 0
14 \frac{1}{4}= \frac{14\cdot4+1}{4}= \frac{57}{4}

10 \frac{3}{7}= \frac{10\cdot7+3}{3}= \frac{73}{7}

\hbox {So, you have now }  \frac{57}{4}-\frac{73}{7}=\frac{57\cdot7}{4\cdot7}-\frac{73\cdot4}{7\cdot4}= \frac{399}{28}-\frac{292}{28}=\boxed {\frac{107}{28} }=\boxed { 3\frac{23}{28} }
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R is the interior of angle TUV. The measure of RUV=30degrees, the measure of TUV=3x+16, and the measure of TUR=x+10. Find x and
choli [55]

Given

R is the interior of ∠ TUV.

m∠ RUV=30degrees, m∠ TUV=3x+16, and m∠ TUR=x+10.

Find the value of x and the m ∠TUV.

To proof

As given in the question

m ∠TUV=3x+16, and m ∠TUR=x+10

thus

m∠ RUV =  m∠ TUV - m∠ TUR

            = 3x + 16 - x -10

            = 2x + 6

As given

m ∠RUV=30°

compare both the values

we get

30 = 2x + 6

24 = 2x

12 = x

put this value in the m ∠TUV= 3x+16

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Hence proved


7 0
3 years ago
Please answer with clear instructions so that i can apply this to other questions.
kvv77 [185]

Answer:

10 terms

Step-by-step explanation:

equate the sum formula to 55 and solve for n

\frac{1}{2} n(n + 1) = 55 ( multiply both sides by 2 to clear the fraction )

n(n + 1) = 110 ← distribute parenthesis on left side

n² + n = 110 ( subtract 110 from both sides )

n² + n - 110 = 0 ← in standard form

Consider the factors of the constant term (- 110) which sum to give the coefficient of the n- term (+ 1)

the factors are + 11 and - 10 , since

11 × - 10 = - 110 and 11 - 10 = + 1 , then

(n + 11)(n - 10) = 0 ← in factored form

equate each factor to zero and solve for n

n + 11 = 0 ⇒ n = - 11

n - 10 = 0 ⇒ n = 10

However, n > 0 , then n = 10

number of terms which sum to 55 is 10

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Answer:

Step-by-step explanation:

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