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Alenkinab [10]
3 years ago
10

a) Set up the variables: Let ______represent the first number, Then ______will represent the second, Then ______will represent t

he third. * b) What is the equation that represents the above situation* c)solve the equation d) three integers are?
Mathematics
1 answer:
eimsori [14]3 years ago
3 0

Answer:

  • 33, 34 and 35

Step-by-step explanation:

  • <em>Three consecutive numbers have a sum of 102. What are the three integers?</em>

Let x be the first number, then x + 1 is the second, then x + 2 is the third number.

<u>The required equation to show the sum is:</u>

  • x + x + 1 + x + 2 = 102

<u>Solve for x:</u>

  • 3x + 3 = 102
  • 3x = 99
  • x = 33

The numbers are 33, 34 and 35

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Westkost [7]
FOIL when multiplying two binomials.

First:
√ 3*√ 3= 3

Outer:
√ 3 *2 = 2√3

Inner:
-4*√3= -4√3

Last:
-4*2=-8

Put it together
3+2√3-4√3-8

Simplify
(-2√3)-5

Final answer: (-2√3)-5
7 0
3 years ago
1. Where will the line y = -1/2 -3 cross the y-axis?
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1) The y- axis is where x = 0, so the line "y = -1/2x - 3" will cross the y-axis when x = 0. You plug in "x = 0" into the equation, and get y = 0 -3, so y = -3. That means the line " y = -1/2x - 3" will cross the y-axis ar (0, -3)

2) If there are 2 parallel lines, then there is no solution, because the definition of parallel lines is, " 2 lines in the same plane, that never meet." That makes the solution inconsistent.

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3 years ago
Find the y value for point I such that DI and EI form a 3:5 ratio.
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3 0
3 years ago
HELP The edges of the square base of a right pyramid are 8 cm. The slant height of the pyramid is 25 cm. If these two dimensions
grandymaker [24]

The surface area of the newly formed right pyramid is multiplied by scale factor 2.

Given that,
Right pyramid,
Edge of the base = 8 cm
Slant height = 25 cm

<h3>What is surface area?</h3>

Surface area is defined as the area of the surface that is uncovered.

Surface area of the right pyramid = 1/2 * edge of the base * slant height

                                                       = 1/2 * 8 * 25
                                                       = 100 cm²
Now, two dimensions are doubled,
slant height = 50
Edge of the base = 16
New Surface area of right pyramid = 1/2 * edge of the base * slant height
                                                           = 1 / 2 * 50 * 16
                                                           = 400 cm²


Now, scale factor, the ratio of the surface areas later to the former,
scale factor = 400 / 100
scale factor = 4

Thus, the surface area of the newly formed right pyramid is multiplied by scale factor 2.

Learn more about the surface area here:
brainly.com/question/2835293

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4 0
2 years ago
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Answer:

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Step-by-step explanation:

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