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valentinak56 [21]
2 years ago
9

Consider the sequence 5, 12, 19, 26,. Enter numbers in the boxes to represent the fourth term as an ordered pair.

SAT
1 answer:
erik [133]2 years ago
6 0
33 is the next number
hope this helps

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Two numbers differ by 8 if their product is 713 then the sum of the two numbers is.
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The sum of the two numbers is equal to 70.

  • Let the first number be x.
  • Let the second number be y.

In this exercise, you're required to find two numbers by translating the word problem into an algebraic expression and then solving for the unknown variables (x and y).

Translating the word problem into an algebraic expression, we have;

Two numbers differ by 8:

x-y=8    ....equation 1.

The product of the two numbers is 713:

xy=713    ....equation 2.

To calculate the sum of the two numbers:

First of all, we would solve for each of the unknown variables (x and y).

From eqn. 1, we have:

x=8+y   ....equation 3.

Substituting eqn. 3 into eqn. 2, we have:

y(y+8)=713\\\\y^2+8y=713\\\\y^2+8y-713=0

Solving the quadratic equation by factorization, we have:

y^2-31y +23y-713=0\\\\y(y-31)+23(y-31)=0\\\\(y+23)(y-31)=0

y = -23 or 31.

For the value of x, when y = 31:

x=8+31

x = 39

Now, we can calculate the sum of the two numbers:

x+y=39+31=70

Read more on word problems here: brainly.com/question/13170908

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Identify at least five different Arts, A/V Technology, and Communications careers that you could pursue in your home state, and
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Answer:Arts, A/V Technology & Communications Career Cluster

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Film and Video Editors

Journalism & Broadcasting Career Pathway

Visual Arts Career Pathway

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Plato

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