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liraira [26]
3 years ago
6

How do you solve 3/4 (5+x) + 4 = 3x + 1? Thanks:)

Mathematics
1 answer:
elena-s [515]3 years ago
3 0

\dfrac{3}{4}(5+x)+4=3x+1\ \ \ \ |\cdot4\\\\3(5+x)+16=12x+4\ \ \ |\text{use distributive property}\\\\(3)(5)+(3)(x)+16=12x+4\\\\15+3x+16=12x+4\\\\31+3x=12x+4\ \ \ \ |-31\\\\3x=12x-27\ \ \ \ |-12x\\\\-9x=-27\ \ \ \ |:(-9)\\\\\boxed{x=3}

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Traveling at 55 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 310 miles from Bost
Sphinxa [80]

310/55 = 5.64 hours

60 minutes per hour

5.64 x 60 = approximately 338 minutes

8 0
3 years ago
Phoebe, Andy and Polly share £270.
Stella [2.4K]
*Given
Money of Phoebe            - 3 times as much as Andy
Money of Andy                - 2 times as much as Polly
Total money of Phoebe,  - <span>£270
</span>    Andy and Polly

*Solution

Let
B - Phoebe's money
A - Andy's money
L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total <span>£270. Thus, 
</span>
                  B + A + L  = <span>£270                     (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as
  
                  B = 3A

3. Andy has twice as much money as Polly and this is expressed as

                  A = 2L</span>                           (EQUATION 2)
<span>
4. This means that Phoebe has ____ as much money as Polly, 

                 B = 3A
                 B = 3 x (2L)
                 B = 6L                            </span>(EQUATION 3)<span>

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only. 

5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes, 

                  6L + 2L + L = </span><span>£270
</span>                                9L = <span>£270
</span>                                  L = <span>£30

So, Polly has </span><span>£30. 

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively. 
</span>
                  A = 2L                           
                  A = 2(£30)
                  A = £60

Andy has £60

                  B = 6L                         
                  B = 6(£30)
                  B = £180

Phoebe has £180

Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.
7 0
3 years ago
In the figure shown, which pair of angles must be supplementary
lana [24]

Answer:

PQT and TQS

Step-by-step explanation:

they must supplement each other to get the 90

4 0
3 years ago
Help please logarithms​
DochEvi [55]

Answer:

Simplified: 40

Step-by-step explanation:

To simplify this, we need to first separate the terms in this expression. There is a property of exponents that says: x^{a+b} =x^ax^b We can do this same thing to simplify this expression. Next, we can simplify each of these terms. 2^2 simply becomes 4. In the other term, the 2^{log_2} simply cancel each other and leave the 10. This means that we're left with 4*10, which is 40

2^{2+log_210} \\\\2^2*2^{log_210} \\\\4*10\\\\40

6 0
3 years ago
There are 6 rows with 18 chairs in each row. in the center of the chairs, 4 rows of 6 chairs are brown.the rest of the hairs are
guajiro [1.7K]
84 chairs are Blue because 6×18-6×4=84
6 0
3 years ago
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