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yulyashka [42]
3 years ago
8

1.63 repeatind decimal as a mixed number

Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0
First change the decimal portion into a fraction.
63/100. That is the simplest form of the fraction. add in your whole number. The answer is 1 63/100
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QUESTION 10
adelina 88 [10]

Answer:

Step-by-step explanation:

A = L * W

A = 22

L = 2x + 1

W = 3x + 1

now we sub

22 = (2x + 1)(3x + 1)

22 = 6x^2 + 2x + 3x + 1

22 = 6x^2 + 5x + 1

6x^2 + 5x + 1 - 22 = 0

6x^2 + 5x - 21 = 0 <======part A

(3x + 7)(2x - 3) = 0

3x + 7 = 0          2x - 3 = 0

3x = -7               2x = 3

x = -7/3              x = 3/2

I believe that x = -7/3 is an extraneous solution because when u plug it into ur length and width u get a negative number....and I dont think the sides of ur rectangle have negative values, however, it does work in ur equation and it equals 22 when multiplied...so I am not 100% sure

length = 2x + 1.......2(3/2) + 1........3 + 1 = 4

width = 3x + 1......3(3/2) + 1......9/2 + 1......9/2 + 2/2 = 11/2 (or 5.5) meters <===

6 0
3 years ago
¿cuales números naturales de dos cifras cumplen la condición de que su triple disminuido en 5, sea menor que su doble aumentado
stiks02 [169]

Answer: 10, 11 and 12.

Step-by-step explanation:

This translates to:

Find the natural numbers of two digits that fulfill the condition that when triple and decreased in 5, is less than the double increased in 8?

suppose that A is our number of two digits, this means that:

3*A - 5 < 2*A + 8

It makes sense to start with the smaller number of two digits, 10.

3*10 - 5 < 2*10 + 8

25 < 28

this is true.

Now let's check the next one, 11.

11*3 - 5 < 2*11 + 8

28 < 30

This is true again, now let's try with the next one, 12.

3*12 - 5 < 2*12 + 8

31 < 32

This is true again, now let's find the last one.

3*13 - 5 < 2*13 + 8

34 < 34

this is not true, so the numbers that fulfill the condition are 10, 11, and 12.

A faster way to prove it is, suppose that both sides of our inequality are equal, then find the value of A.

3*A - 5 = 2*A + 8

3*A - 2*A = 8 + 5 = 13

A = 13

This means that any number of two digits less than 13 fulfills the condition, those numbers are 10, 11, and 12.

8 0
3 years ago
-(m-6)=3m+14 what is m
natta225 [31]
The answer is
- m + 6 = 3m + 14
- 4m = 8
m =  - 2
8 0
2 years ago
Somebody please help me with this answer
EastWind [94]

I think it might be b. I'm super sorry if I'm wrong I tried my best :(

6 0
3 years ago
Read 2 more answers
To be considered as a menu item for Gloria's new restaurant an item must have scored in the top 15% by the food critics in the a
vladimir1956 [14]

Answer:

Lowest score needed=4.92

Step-by-step explanation:

Using the standard normal distribution table we find the value of standard normal deviate corresponding to area of 15%

For area of 15% we have Z= -1.04

Thus we have

Z=\frac{X-\overline{X}}{\sigma }\\\\\therefore X=\sigma Z+\overline{X}\\\\

Applying values we get

X=-1.04\times 2+7\\\\X=4.92

Thus lowest score needed = 4.92

3 0
3 years ago
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