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pav-90 [236]
3 years ago
12

What is the value for x in the equation 3/4x-1/2(2-1/2x)=1/3

Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0
- - We are finding the value of "X" 

"x" Is representing an unknown number, one that we must solve to find.

• The first step is going to be distributing our equation. 

\frac{3}{4} x + \frac{1}{4} x + - 1 = \frac{1}{3}
↓ ↓ ↓ ↓ ↓
( \frac{3}{4} x + \frac{1}{4} x )+ (- 1) = \frac{1}{3}


• Now we are going to do like terms by combining them.

x + -1 =  \frac{1}{3} 

x - 1 =  \frac{1}{3}

• Now need to add "1" to both sides of our equation to get our final answer.

x-1+1= \frac{1}{3} -1

- - Final answer; x = \frac{4}{3}

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Please explain by showing your work.
Levart [38]

Answer:

x=1.8

Step-by-step explanation:

To solve this equation, we can use PEMDAS and the various properties.

First, use the distributive property on all parenthesis, since parenthesis come first.

4x-1+6x+6x+24=52

Now we can use the commutative property to add all like terms.

16x+23=52

Now just subtract on both sides.

52-23=29 so our equation is 16x=29

To isolate x, divide both sides by 16.

x=1.8 rounded up

Hope this helps!

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What equation is true for x=-6 and x=2
inna [77]

Answer: x^{2} +4x-12=0

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
A balalaika is a Russian stringed instrument. Show that the triangular parts of the two balalaikas are congruent for x = 6.
Ann [662]

*the diagram of the Russian stringed instrument is attached below.

Answer/Step-by-step explanation:

To show that the traingular parts of the two balalaikas instruments are congruent, substitute x = 6, to find the missing measurements that is given in both ∆s.

Parts of the first ∆:

WY = (2x - 2) in = 2(6) - 2 = 12 - 2 = 10 in

m<Y = 9x = 9(6) = 54°.

XY = 12 in

Parts of the second ∆:

m<F = 72°

HG = (x + 6) in = 6 + 6 = 12 in

HF = 10 in

m<G = 54°

m<H = 180 - (72° + 54°)

m<H = 180 - 126

m<H = 54°

From the information we have, let's match the parts that are congruent to each other in both ∆s:

WY ≅ FH (both are 10 in)

XY ≅ GH (both are 12 in)

<Y ≅ <G (both are 54°)

Thus, since two sides (WY and XY) and an included angle (<Y) of ∆WXY is congruent to two corresponding sides (FH and GH) and an included angle (<G) in ∆FGH, therefore, ∆WXY ≅ ∆FGH by the Side-Angle-Side (SAS) Congruence Theorem.

This is enough proof to show that the triangular parts of the two balalaikas are congruent for x = 6.

7 0
3 years ago
a concession stand sells bags of popcorn for 3$ and cotton candy for 2$. a customer purchased bags of popcorn as well as cotton
scZoUnD [109]

Answer:

3

Step-by-step explanation:

12$-3$-3$=6 meaning they spent 6 Dollars on popcorn, and now have 6 left to spend, and with the cotton candy being $2 each, that means they bought 3 cotton candys

hope this helps!!!

8 0
3 years ago
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