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Nataliya [291]
3 years ago
10

e="8 a b ^ { 2 } : 6 a ^ { 2 } b" alt="8 a b ^ { 2 } : 6 a ^ { 2 } b" align="absmiddle" class="latex-formula">
Express ratio in simplest form
​
Mathematics
1 answer:
g100num [7]3 years ago
4 0

\boxed{\large{\bold{\blue{ANSWER~:) }}}}

8ab^{2}:6a^{2}b\\\\=\dfrac{8ab^{2}}{6a^2b}\\\\=\dfrac{2×4×a×b×b}{2×3×a×a×b}\\\\=\dfrac{4b}{3a}\\\\=4b:3a

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12x - 2y = -1<br>+ 4x + 6y= -4<br>​
svp [43]

Answer:

x = -7/40 , y = -11/20

Step-by-step explanation:

Solve the following system:

{12 x - 2 y = -1 | (equation 1)

4 x + 6 y = -4 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{12 x - 2 y = -1 | (equation 1)

0 x+(20 y)/3 = (-11)/3 | (equation 2)

Multiply equation 2 by 3:

{12 x - 2 y = -1 | (equation 1)

0 x+20 y = -11 | (equation 2)

Divide equation 2 by 20:

{12 x - 2 y = -1 | (equation 1)

0 x+y = (-11)/20 | (equation 2)

Add 2 × (equation 2) to equation 1:

{12 x+0 y = (-21)/10 | (equation 1)

0 x+y = -11/20 | (equation 2)

Divide equation 1 by 12:

{x+0 y = (-7)/40 | (equation 1)

0 x+y = -11/20 | (equation 2)

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6 0
3 years ago
The highest common factor (HCF) of 140 and x is 20
Zielflug [23.3K]

Answer:

x=60

Step-by-step explanation:

Given that ,

HCF of 140 and x=20,

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Solution:

It is known that the product of two numbers is equal to the product of their HCF and LCM, i-e:

140*x= HCF*LCM

Putting in the values provided,

140*x=20*420

140*x=8400

x=8400/140

x=60

Hence the variable x is 60.

5 0
3 years ago
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