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lara31 [8.8K]
3 years ago
14

I'm having trouble with algebraic fractions . 3/2n-8/3=-29/12

Mathematics
1 answer:
nadezda [96]3 years ago
5 0

what we can do is hmmmm get the LCD of all fractions, and multiply both sides by that LCD, let's see, we have denominators of 2, 3 and 12, so we can use the LCD of 12, and multiply both sides by 12 to do away with the denominators.

\bf \cfrac{3}{2}n-\cfrac{8}{3}=-\cfrac{29}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{3}{2}n-\cfrac{8}{3} \right)=12\left( -\cfrac{29}{12} \right)}\implies (6)3n-(4)8=(1)-29 \\\\\\ 18n-32=-29\implies 18n=3\implies n=\cfrac{3}{18}\implies n=\cfrac{1}{6}

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Jasmin, Quinn, and Maddy are rock climbing. Jasmin is 42 ½ feet below Quinn. Maddy is 67 ¾ feet above Jasmin. What is Maddy's po
ladessa [460]

Answer:

25\frac{1}{4} feet

<em />

Step-by-step explanation:

Given

Maddy = 67\frac{3}{4} above Jasmin

Jasmin = 42\frac{1}{2} below Quinn

Required

Determine Maddy's position relative to Quinn's

From the given parameter, one can easily deduce that Quinn is in between Maddy and Jasmin (See attachment)

Using the attachment as a point of reference;

z = 67\frac{3}{4}

x = 42\frac{1}{2}

The relationship between x, y and z is

z = y + x

Make y the subject of formula

y = z - x

Substitute the values of z and x

y = 67\frac{3}{4} - 42\frac{1}{2}

Convert to improper fractions

y = \frac{271}{4} - \frac{85}{2}

Take LCM

y = \frac{271 - 170}{4}

y = \frac{101}{4}

y = 25\frac{1}{4}

<em>Hence; Maddy's position relative to Quinn's is </em>25\frac{1}{4}<em> feet</em>

8 0
3 years ago
HELP DUE IN 10 MINS!<br><br> x =??
Black_prince [1.1K]

Answer:

x = 11

Step-by-step explanation:

Using Secants ad Segments Theorem we can say;

(x + 7) (7) = (15 + 6) (6)

7x + 49 = (21) (6)

7x + 49 = 126

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Hope this helps!

3 0
3 years ago
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What is the answer to -3+y=-5
Stolb23 [73]

Answer:

y=-2

Step-by-step explanation:

you are solving for the variable y

add 3 to the opposite side, so it cancels out

y=-5+3

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4 0
3 years ago
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Answer: Equation : t - 75 = 325 , Solution: t=400, 400 degree F

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Step-by-step explanation:

4 0
3 years ago
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Need answer to 2/3+5/4
Anna11 [10]

Answer:

23/12 or 1 and 11/12

Step-by-step explanation:

Your first step is that you need to gain a common denomitor. In this scenario, this is 12. To get this, you can either go through the given factors such as 3 having the factors of 6, 9, and 12 and 4 having the factors of 8, and 12.

Another method is the multiply the two given denominators together, but there are certain instances where you shouldn't do that.

Now that you have a common denominator, you need to change the numerators to accomadate the denominators. For 3 to turn into 12, you need to multiply it by 4, thus you have to do the same to the numerator. For 4 to turn into 12, you need to multiply it by 3. This will give you these two new fractions:

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Add the numerators to get 23/12 and then simplify the two numbers to get the mixed number of 1 and 11/12.

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