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postnew [5]
3 years ago
15

What is the value of 324 + 435 + 546 when written in base 7?

Mathematics
1 answer:
Arada [10]3 years ago
6 0
<span>The sum of 324, 435, and 546 is 1305. If this number were to be expressed by the base of 7, we would need to figure out what value of exponent would satisfy the requirement. This can be done by setting up an equation where 7 to the power of x must equal 1305. Using logarithms, one can solve for x and find it to be 3.6866853. Thus the sum of the aforementioned numbers, expressed in by the base of 7, is 7^3.6866853.</span>
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Kate begins solving the equation StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartF
mixas84 [53]

Answer:

<h3>The best interpretation of this equation 4x=3x is that the equation has no solution</h3>

Step-by-step explanation:

Given that Kate begins solving the equation

\frac{2}{3}(6x-3)=\frac{1}{2}(6x-4)

<h3>To find the best interpretation of the given equation :</h3><h3>Katie's steps are</h3>
  • \frac{2}{3}(6x-3)=\frac{1}{2}(6x-4)
  • \frac{2}{3}(3(2x-1))=\frac{1}{2}((2(3x-4))
  • 2(2x-1)=1(3x-2)
  • 2(2x)+2(-1)=1(3x)+1(-2)
  • 4x-2=3x-2

When she adds 2 to both sides, the equation becomes

  • 4x-2+2=3x-2+2
  • 4x=3x

Therefore 4\neq 3

<h3>Therefore the given equation has no solution </h3><h3>The best interpretation of this equation 4x=3x is that the equation has no solution.</h3><h3>Therefore the option no solution is correct</h3>
8 0
2 years ago
Read 2 more answers
On Saturday, the Anderson
Bond [772]

Answer:

\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.

Step-by-step explanation:

Let's call (as suggested)

p = the cost of one pizza

c = the cost of one cheeseburger

The Anderson Family ordered 2 pizzas and 4 cheeseburgers and paid $31.50, thus:

2p + 4c = 31.50             [1]

Next weekend, they ate at the same restaurant and ordered 3 pizzas and 2 cheeseburgers for $33.25, thus:

3p + 2c = 33.25           [2]

To know the cost of one pizza and one cheeseburger, we need to solve the system of equations defined by [1] and [2]

\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.

4 0
2 years ago
9*2/3 answer in simplest form​
ozzi

Answer:

9 and 2/3 in its simplest form is 6

Step-by-step explanation:

7 0
3 years ago
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Evaluate each expression, m= 4, x= 9, and r= 1/6
bagirrra123 [75]
4. 14
5. 6
6. 1/12
These are the answers to the questions

8 0
2 years ago
3(x+y)=y
andrew-mc [135]

3(x+y)=y

y is not equal to zero

*Solution  

1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis,  

                       3(x+y) = y

                     3x + 3y = y

Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give

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Dividing both sides of the equation by 3,  

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Dividing both sides of the equation by y,  

                             x/y = -2/3

Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero.  

                             

6 0
3 years ago
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