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alina1380 [7]
3 years ago
11

1. Solve using long division.

Mathematics
1 answer:
Ann [662]3 years ago
5 0

Answer:

9x^2 - 3x - 2,  R -7.

Step-by-step explanation:

x - 5) 9x^3 - 48x^2 + 13x + 3(9x^2 - 3x - 2 <---- Quotient.

        9x^3 - 45x^2

                  - 3x^2 + 13x

                   -3x^2 + 15x

                                -2x + 3

                                -2x + 10

                                          -7 <----- Remainder

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The combined age of three relatives is 120 years. James is three times the age of Dan, and Paul is two time the sum of the ages
BaLLatris [955]

Answer:

Step-by-step explanation:

Let x represent Dan's age

3x be James'age

Paul 2(3x+x)=6x+2x

Suming all ages

x+3x+6x+2x=120

Solving for x

12x=120

x=10 (Dan's age)

3×=30 (James'age)

6×+2×=80(Paul's age)

8 0
4 years ago
Which of the following is equivalent to a real number?
Aleksandr-060686 [28]

Answer:

C) -144^¹/₃

Step-by-step explanation:

Having a number to the power of a fraction is the equivalent of rooting by its reciprocal. So, the sixth root, fourth root, cube root, and square root. Only odd roots can have negative answers (∛x, x can be negative; √y, y can not be negative unless we talk about imaginary numbers).

Since we are looking for a real number, C, showing a cube root of a negative number, must be the answer.

4 0
4 years ago
Yes help me for this maths questions
Elenna [48]
154cm squared this is the only right answer
3 0
3 years ago
A rectangular tank has length 4m, width 12m and height 3.5..i. If the tank is filled with water 2/3 of its capacity ,calculate t
ipn [44]

Answer:

The volume of the water in the tank is 112 m³

Step-by-step explanation:

The volume of the rectangular prism V = L × W × H, where

  • L is its length
  • W is its width
  • H is its height

∵ A rectangular tank has a length of 4 m, a width of 12 m, and

   a height of 3.5 m

∴ L = 4 m

∴ W = 12 m

∴ H = 3.5 m

∵ V = L × W × H

∴ The volume of the tank = 4 × 12 × 3.5

∴ The volume of the tank = 168 m³

∵ The tank is filled with water  \frac{2}{3} of its capacity

→ That means the volume of the water is  \frac{2}{3}  the volume of the tank

∵ The volume of the water = \frac{2}{3} the volume of the tank

∴ The volume of the water =  \frac{2}{3} × 168

∴ The volume of the water = 112 m³

∴ The volume of the water in the tank is 112 m³

3 0
3 years ago
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Helga [31]

Answer:

54-even number

45-Composite number

8 0
3 years ago
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