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velikii [3]
4 years ago
6

Adante begins to evaluate the expression 3 1/3 x 5 1/4 using the steps below

Mathematics
1 answer:
Liula [17]4 years ago
4 0

Answer:

\frac{35}{2}

Step-by-step explanation:

To solve this problem we need to write the mixed fraction as a fractional number, as follows:

3 1/3 = 3 + \frac{1}{3} = \frac{9+1}{3} = \frac{10}{3}

5 1/4 = 5 + \frac{1}{4} = \frac{20+1}{4} = \frac{21}{4}

Then, evaluating the expression:

\frac{10}{3}×\frac{21}{4} = \frac{210}{12}

→ \frac{35}{2}

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Four consecutive odd integers add up to 288. which integers are they?
murzikaleks [220]
Let the smallest integer be x
x + (x+2) + (x+4) + (x+6) = 288
4x +12 =288
4x= 276
x = 69
The integers are 69, 71, 73 and 75
5 0
3 years ago
The bottom part of this block is a rectangular prism. The top part is a square pyramid. You want to cover the block entirely wit
yaroslaw [1]

Answer:

Total paper required = 165 cm²

Step-by-step explanation:

Paper required to cover the entire block = (Surface area of the prism at the base - area of the top of the prism) + Lateral surface area of the pyramid

Surface area of the rectangular prism = 2(lb + bh + hl)

(here l, b, h are the length, width and height respectively)

                                                               = 2(5×5 + 5×4 + 4×5)

                                                               = 2(25 + 20 + 20)

                                                               = 2×65

                                                               = 130 cm²

Area of the top of the prism = (side)²

                                              = 5²

                                              = 25 cm²

Lateral area of the square pyramid = 4 × Area of one lateral side

                                                          = 4 × [\frac{1}{2}(\text{Base})(\text{Height})]

                                                          = 4 × [\frac{1}{2}(5)(6)]

                                                          = 60 cm²

Total paper required = (130 - 25) + 60

                                   = 105 + 60

                                   = 165 cm²

7 0
3 years ago
(18 divided by 3) to the second exponent
Svet_ta [14]
If we divide 18 by 3, we get 6. we then square 6 and get 36.
4 0
3 years ago
Read 2 more answers
A chemistry teacher needs to mix an acid solution for an experiment. how much hydrochloric acid needs to be mixed with 1500 mill
e-lub [12.9K]
1500 x 12% = 180mL
To get this answer, you have to multiply the 1500mL by 12% (0.12) and get 180. This means that 12% of your 1500mL solution will be 180mL of hydrochloric acid.
3 0
3 years ago
Please describe a pattern for each sequence. Then find the next two numbers. Using inductive reasoning.
Mamont248 [21]

Answer: the first adds increasingly by 1 every time. (+6,+7,+8...) the next two numbers are 35 and 45.

The second multiplies increasingly by one every time. (x5,x6,x7...) and the next two numbers are 1680 and 13,440

5 0
3 years ago
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