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BARSIC [14]
3 years ago
13

Write out the steps that you would follow to solve the equation: 3(x-4) = 2x +5

Mathematics
1 answer:
luda_lava [24]3 years ago
6 0

Answer:

x = 17

Step-by-step explanation:

To solve this equation, we can illustrate the algebraic concepts being employed and solve for the variable.

3(x - 4) = 2x + 5 Distribute the 3 into the parentheses.

3x - 12 = 2x + 5 Subtract 2x from both sides of the equation to combine like terms.

x - 12 = 5 Add 12 to both sides of the equation.

x = 17

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A friend tells you that her savings account doubled in 9 years. Use the Rule of 72 to estimate what the APR of her account was.
Shkiper50 [21]

answer:The rule of 72 says that an amount will double when the product of the percentage and the number of years equals 72...so for 8 years, you would need to earn 9%

5 0
2 years ago
(a) How would you characterize the relationship between money spent on advertising and items sold?
Mashcka [7]

Answer:

a) Positive Correlation

b) 69.5

c) Base advertisement fee    

Step-by-step explanation:

a) Relationship between money spent on advertising and items sold

If we spent greater amount of money on advertisement, thus, we create more awareness and thus, the number of item sold increases.

Similarly, if less money is spent on advertisement, the number of items sold will be less.

Thus, the money spent on advertisement varies directly with the number of items sold.

Thus, they have a positive relationship or a positive correlation.

b) Money spent in advertising to sell 30 items

We are given the function:

y= 1.6x+ 21.5

We put x = 30

y(30)= 1.6(30)+ 21.5\\y(30) = 69.5

Thus, the score predicted by model is 69.5 units.

c) Interpretation of 21.5

Comparing the equation to a general linear equation, we get

y = mx + c

where m is the slope and c is the y-intercept.

y-intercept tells us the value of function when x is zero.

Thus, for the given scenario it will tell about the basic advertisement fee to be paid if we want to sell 0 products.

Comparing we get,

c  = 21.5

Interpretation:

Thus, 21.5 units is the basic amount of advertisement fee that needed to be paid( the number of items sold is 0)

8 0
3 years ago
What is 10 over 64 in simplest form
kykrilka [37]
To write a fraction in simplest form, you have to divide the numerator and the denominator by their greatest common factor.

Factors of 10: 1, 2, 5, 10
Factors of 64: 1, 2, 4, 8, 16, 32, 64
Common Factors: 1, 2
Greatest Common Factor: 2

\frac{10}{64} = \frac{10/2}{64/2} = \frac{5}{32}
6 0
3 years ago
Plz help me how would you solve 4x + 2y = 18, 3x - 5y =20 by elemination
Natalka [10]

Answer: x = 5, y = -1

<u>Step-by-step explanation:</u>

Equation 1: 4x + 2y = 18

Equation 2: 3x - 5y = 20

In order to eliminate one of the variables , find the LCM of either x or y.

<em>I chose to eliminate y.</em>  The LCM of 2 & 5 is 10.

Multiply the entire equation so the coefficient of the variable equals the LCM.

Then add the equations and solve for the remaining variable.

5(4x + 2y = 18)       -->        20x + 10y = 90

2(3x - 5y = 20)      -->        <u>   6x  - 10y</u> = <u>40 </u>

                                           26x          = 130  

                                         <u> ÷26         </u>    <u>÷26 </u>

                                                x         =  5

Next, input x = 5 into either of the equations to solve for y.

Equation 1: 4x + 2y = 18

                 4(5) + 2y = 18

                  20  + 2y = 18

                <u> -20          </u>  <u>-20 </u>

                           2y = -2

                         <u> ÷2  </u>  <u> ÷2 </u>

                             y = -1

8 0
3 years ago
3. If 14 is 35% of a value, what is that value?
Elza [17]
0.35x = 14
x = 14 / 0.35
x = 40
6 0
3 years ago
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