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xz_007 [3.2K]
3 years ago
10

Write a common denominator for 1/4 and 5/6

Mathematics
1 answer:
prohojiy [21]3 years ago
6 0
Well 4 and 6 have a common multiple:12 so
\frac{1}{4}* \frac{3}{3} = \frac{3}{12}
\frac{5}{6} * \frac{2}{2}= \frac{10}{12}
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Which number line represents the solution to the inequality x - 3 > 2
Ivahew [28]

Answer: x > 5

Step-by-step explanation: To solve for <em>x</em> in this inequality, our goal is the same as it would be if this were an equation, to get x by itself on one side.

Since 3 is being subtracted from x, we add 3 to

both sides of the inequality to get x > 5.

When graphing x > 5, we have an open circle on 5 and the

open circle tells us that 5 is not part of our answer.

Then we draw an arrow going to the right to represent

all possible solutions to this inequality, any number greater than 5.

6 0
3 years ago
One positive number exceeds three times another positive number by 5. The product of the two numbers is 68. Find the number
kati45 [8]

Answer:12

Step-by-step explanation:

Let the numbers be a and b

a-3b=5 ........equation (1)

There product is :

ab=68 ..........equation (2)

From equation (1)

a-3b=5

Make a the subject of the formula

a=5+3b. ........equation (3)

Substitute equation (3) into equation (2)

(5+3b)b=68

3(b^2)+3b-68=0

The product is -204b^2(17 and -12)

(b+17)(b-12)=0

b=-17 or b=12

So the number is 12

6 0
4 years ago
Find the value of sin H rounded to the nearest hundredth, if necessary.<br> Help please
Travka [436]

Answer:

sinH ≈ 0.47

Step-by-step explanation:

sinH = \frac{opposite}{hypotenuse} = \frac{IJ}{HJ} = \frac{16}{34} ≈ 0.47 ( to the nearest hundredth )

7 0
3 years ago
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Step-by-step explanation:

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Question 3<br> Solve this system by using the elimination method.<br> 4x + 2y = 8<br> 5x + 3y = 9
umka21 [38]

Answer:

x=3, y=-2. (3, -2).

Step-by-step explanation:

4x+2y=8

5x+3y=9

---------------

simplify 4x+2y=8 into 2x+y=4

-----------------

2x+y=4

5x+3y=9

----------------

y=4-2x

5x+3(4-2x)=9

5x+12-6x=9

-x=9-12

-x=-3

x=3

2(3)+y=4

6+y=4

y=4-6

y=-2

7 0
4 years ago
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