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Anestetic [448]
4 years ago
11

Solve each rational equation

Mathematics
1 answer:
quester [9]4 years ago
8 0
The answer would be x= 4,-4
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How many decimeters are in 3.5 dekameters? Use the metric table to help answer the question.
Ivahew [28]

350 decimeters are there in 3.5 decameter

<em><u>Solution:</u></em>

We have to find the decimeters in 3.5 decameters

<em><u>Use the metric table:</u></em>

1 kilometre (km) = 10 Hectometres (hm) = 1000 m

1 Hectometre (hm) = 10 Decametres (dcm) = 100 m

1 Decametre (dcm) = 10 Metres (m)

1 Metre (m) = 10 Decimetres (dm) = 100 cm = 1000 mm

1 Decimetre (dm) = 10 Centimetres (cm)

1 decimeter = 0.1 meter

1 Centimetre (cm) = 10 Millimetres (mm)

1 centimeter = 0.01 meter

1 millimeter = 0.001 meter

From above metric table, we find that

100 decimeter = 1 decameter

Then, convert 3.5 decameter to decimeter

100 x 3.5 decimeter = 3.5 x 1 decameter

350 decimeter = 3.5 decameter

Thus 350 decimeters are there in 3.5 decameter

5 0
3 years ago
Solve for x:<br> 27^(2x)=(1/9)^(x-3)
elena-14-01-66 [18.8K]
27^{2x}=\left(\dfrac{1}{9}\right)^{x-3}\\\\(3^3)^{2x}=\left(\dfrac{1}{3^2}\right)^{x-3}\\\\3^{3\cdot2x}=(3^{-2})^{x-3}\\\\3^{6x}=3^{-2(x-3)}\\\\3^{6x}=3^{-2x+6}\iff6x=-2x+6\ \ \ |add\ 2x\ to\ both\ sides\\\\8x=6\ \ \ |divide\ both\ sides\ by\ 8\\\\x=\dfrac{6}{8}\\\\\boxed{x=\frac{3}{4}}
3 0
3 years ago
Read 2 more answers
Write a verbal sentence to represent the equation:<br> 4(x + 3) = 4x2<br> Answer:
Zigmanuir [339]
Four times (x plus three) equals four times two
7 0
3 years ago
Read 2 more answers
Fred randomly draws 2 cards from a standard deck of 52 cards. he does not replace the first card, what is the probability that b
makvit [3.9K]

\displaystyle |\Omega|=\binom{52}{2}=\dfrac{52!}{2!50!}=\dfrac{51\cdot52}{2}=1326\\ |A|=\binom{4}{2}=\dfrac{4!}{2!2!}=\dfrac{3\cdot4}{2}=6\\\\ P(A)=\dfrac{6}{1326}=\dfrac{1}{221}\approx0.5\%

8 0
3 years ago
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16 and 1/3 reciprocal
jok3333 [9.3K]
Whether you have to combine the two numbers together will be decided by you.

16’s reciprocal would be 0.0625

1/3’s reciprocal would be -3

Hope this helps and hope I am doing this right.
5 0
3 years ago
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