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Reika [66]
3 years ago
13

204, 200,196,... find the 31st term

Mathematics
2 answers:
masya89 [10]3 years ago
8 0

Answer:

84

Step-by-step explanation:

rewona [7]3 years ago
6 0

Answer:

31st term = 84

Step-by-step explanation:

Given:

204, 200,196,...

Find:

31st term

Computation:

204, 200,196,...

First term a = 204

Difference d = a3 - a2

Difference d = 196 - 200

Difference d = -4

An = a + (n-1)d

A31 = 204 + (31-1)(-4)

A31 = 204 - 120

A31 = 84

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If you add​ Natalie's age and​ Fred's age, the result is 36. If you add​ Fred's age to 4 times​ Natalie's age, the result is 72.
kozerog [31]

The known facts

  • the sum of Natalie's age and Fred's age is 36
  • the sum of Fred's age times four and Natalie's age is 72

Now, let's set up the equations where N is Natalie's age and F is Fred's age.

N + F = 36   ---- equation 1

N + 4F = 72 ---- equation 2

equation 2 minus equation 1 ---> 3F = 36 ---> F = 12, thus N = 24

Thus Fred is 12 years old, and Natalie is 24 years old.

7 0
2 years ago
Read 2 more answers
Steffie makes a scale drawing for a crate with the demensions 15 inches long by 12 inches wide. Her scale factor is 1:3. Brian m
rodikova [14]

Answer:

Dimensions → (5 inches × 4 inches)

Step-by-step explanation:

Scale factor used for the drawing by Steffie = \frac{1}{3}

Since, scale factor = \frac{\text{Dimension of the drawing}}{\text{Actual dimension}}

For Steffie,

Actual length of the crate = \frac{\text{Dimension of the drawing}}{\text{Scale factor}}

                                           = \frac{15}{\frac{1}{3}}

                                           = 45 inches

Actual width of the crate = \frac{12}{\frac{1}{3} }

                                         = 36 inches

Since Brian used the scale factor = \frac{1}{9}

Length of the drawing = Actual length × Scale factor

                                     = 45 × \frac{1}{9}

                                    = 5 inches

Width of the drawing = Actual width × Scale factor

                                   = 36 × \frac{1}{9}

                                   = 4 inches

Therefore, dimensions of the drawing made by Brian are (5 inches × 4 inches)

6 0
3 years ago
Is 1/5 less than 5/8
iren [92.7K]
1/5 is less then 5/8
3 0
3 years ago
Rewrite (3b) to the second power without the exponents
Alik [6]
3bx3bx3b

27xbxbxb


hope this helps

5 0
3 years ago
If C = 2m2 + m and D = 2 – 6m + 2m², find an expression that equals<br> 2C - 2D in standard form.
lidiya [134]
C = 2m^2 + m
D = 2 - 6m + 2m^2

2C = 2(2m^2 + m) = 4m^2+2m
2D = 2(2-6m+2m^2) = 4-12m+4m^2

2C - 2D =
4m^2+2m-(4-12m+4m^2) =
4m^2+2m-4+12m-4m^2 =
0m^2 + 14m -4 =
14m - 4
3 0
3 years ago
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