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2 years ago

Find the least common denominator (LCD) of 7/9 and 5/6

Mathematics

1 answer:

AnnZ [28]2 years ago

8 0

Answer: 18

Step-by-step explanation:

The least common denominator of $\frac{7}{9}$ and $\frac{5}{6}$ is going to be a multiple of 9 and 6. Let us list them out:

9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

6: 6, 12, 18, 24, 30, 36, 42, 28, 54, 60

You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).

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Given the graph of the pre-image and image, identify the correct coordinate transformation.

ziro4ka [17]

The preimage was shifted to the image by a translation 2 units right and 2 units up, so the answer is $(x,y) \longrightarrow (x+2, y+2)$

8 0

2 years ago

Find x. A. 11√6/2 B. 22 C. 33 D. 11√3/2

Phoenix [80]

Answer:

Step-by-step explanation:

using the tangent ratio on the triangle on the right and the exact value

tan60° = $\sqrt{3}$ , then letting the altitude be h

tan60° = $\frac{opposite}{adjacent}$ = $\frac{11\sqrt{6} }{h}$ = $\sqrt{3}$ ( multiply both sides by h )

11 $\sqrt{6}$ = h × $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

11 $\sqrt{2}$ = h

using the sine ratio in the triangle on the left and the exact value

sin45° = $\frac{\sqrt{2} }{2}$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{h}{x}$ = $\frac{11\sqrt{2} }{x}$ = $\frac{\sqrt{2} }{2}$ ( cross- multiply )

$\sqrt{2}$ × x = 22 $\sqrt{2}$ ( divide both sides by $\sqrt{2}$ )

x = 22

6 0

1 year ago

Two mechanics worked on a car. The first mechanic charged $65 per hour, and the second mechanic charged $90 per hour. The mechan

Katena32 [7]

Answer:

First mechanic worked 20 hours and second mechanic worked 5 hours

Step-by-step explanation:

Let the number of hours the first mechanic worked = $a$

Let the number of hours the second mechanic worked = $b$

Therefore, we can write 2 equations and then solve them simultaneously:

$a+b=25$

$65a+90b=1750$

Rearranging the first equation: $a=25-b$

and substituting into the second equation to find $b$ :

$65(25-b)+90b=1750$

$1625-65b+90b=1750\\
25b=125\\
b=5$

Now sub $b=5$ into the first equation to find $a$

$a+5=25\\
a=20$

Therefore, first mechanic (a) worked 20 hours and second mechanic (b) worked 5 hours

4 0

2 years ago

Need answers ASAP pls!!

dezoksy [38]

Answer:

Good Luck!

Step-by-step explanation:

7 0

3 years ago

one number is equal to two times a second number. two times the first number plus two times the second number is 24. if you let

ziro4ka [17]

X = 2y
2x + 2y = 24
So if x = 2y that means 2x = 4y. Which means that 2x + 2y = 24 can be written as 4y + 2y = 24. Simplified to 6y = 24. Now we need to get 1y so we divide both sides by 6, 6y/6 = y and 24/6 = 4. so y = 4. so x= 2y can be written as x = 8.

5 0

4 years ago