Haven translated the word problem into an algebraic expression, the unknown number is 6.
In this exercise, you're required to find an unknown number by writing an algebraic expression for the word problem and solve for the unknown number.
Translating the word problem into an algebraic expression, we have;
Eight times a number increased by 9:
....equation 1.
15 more than 7 times the number:
....equation 2.
Next, we would equate the two equations since we were told that they are the same.
Therefore, the unknown number is 6.
Find more information: brainly.com/question/596290
Answer:
the number is 6
Step-by-step explanation:
8x+9=15+7x
8x-7x+9=15+7x-7x
x+9=15
x+9-9=15-9
x=6
The value of 8 is in the tens place
The value of 8 is in the ten thousands place
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as A
Now , the value of A = 2,983,785
Let the tens place be represented as a
Let the ten thousands place be represented as b
Now , the first number 8 is in the tens place , so a = 8 x 10 = 80
The second number 8 is in the ten thousands place , so b = 8 x 10000 = 80,000
Hence , the value of number 8 is in tens and ten thousands place
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For this case we have the following quadratic equation:
Where:
We find the solution by:
Substituting the values we have:
Thus, we have two roots:
Answer:
how many times as long as Tracy's race is a marathon.
Answer:
x-8
Step-by-step explanation: