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kobusy [5.1K]
3 years ago
5

Subtract the following fractions. (Reduce answers to lowest terms.) 6/5-3/3 =

Mathematics
1 answer:
kogti [31]3 years ago
8 0

Answer:

0.87 which is 13/15

Step-by-step explanation:

6/5 becomes 18/15

3/3 becomes 15/15

18/15-15/15 is 13/15

13 divided by 15 is about 0.87

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Find two consecutive even integers such that the lesser added to three times the greater gives a sum of 46.
kvv77 [185]
N; n + 2 - the two consecutive even integers

n + 3(n + 2) = 46
n + 3n + 6 = 46   <em> |subtract 6 from both sides</em>
4n = 40      <em>  |divide both sides by 4</em>
n = 10

n + 2 = 10 + 2 = 12

<u>Answer: 10 and 12.</u>
5 0
3 years ago
Find a unit vector in the direction of the vector left bracket Start 3 By 1 Matrix 1st Row 1st Column negative 8 2nd Row 1st Col
MrRissso [65]

Answer:

\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]

Step-by-step explanation:

We are required to find a unit vector in the direction of:

\left[\begin{array}{c}-8\\7\\2\end{array}\right]

Unit Vector, \hat{a}=\dfrac{\overrightarrow{a}}{|\overrightarrow{a}|}

The Modulus of \overrightarrow{a} =\sqrt{(-8)^2+7^2+(-2)^2}=\sqrt{117}

Therefore, the unit vector of the matrix is given as:

\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]

5 0
3 years ago
A pear weighs 6 ounces. Do 11 pears weigh more than 5 pounds? yes or no
yan [13]
One pear weighs 6 oz, you have 11 pears you multiply 11 by 6 getting 66 oz divided by 16 equals 4.25 lbs. Because there are 16 oz in 1 pound.

answer: No
5 0
3 years ago
An amateur radio operator erects a 75-foot vertical tower for an antenna. A 117 guy wire is pulled from the top of the tower dia
vitfil [10]

Answer:

α=39.80°

Step-by-step explanation:

applying the law of sin and cos, we have:

sin\alpha =\frac{75}{117}=0.6410\\\alpha =acs(0.64)= 39.79

and to the nearest tenth of a degree

α=39.80°

3 0
3 years ago
According to Greg, perfect cherry pies have a ratio of 240 cherries to 3 pies. How many cherries does Greg need to make 9 perfec
GREYUIT [131]
Greg needs 720 cherries.
3 0
3 years ago
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