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Korolek [52]
2 years ago
6

17. Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest

Mathematics
1 answer:
Neporo4naja [7]2 years ago
5 0

Answer:

C.

Step-by-step explanation:

The answer should be less than 15 for x since its the smallest side and C is the only answer that has that.

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For how many positive integers n is it possible to have a triangle with side lengths five, 12, and n
Andre45 [30]

Step-by-step explanation:

you know, a single side cannot be longer than the other 2 sides combined.

otherwise, the triangle cannot "close".

so, it starts with 12 cannot be longer than 5 + n.

therefore, n must be at least 7.

and n cannot be longer than 5+12 = 17

7 and 17 I would normally rule out a well, because in these cases the triangle would just be a flat line, when the 3rd side is as long as the other 2 combined.

so, in reality for a real, visible triangle, the range of valid values is 8 .. 16.

that is 9 positive integer values.

8 0
2 years ago
Multiply. (w-7) (w+4)
stira [4]

Use the FOIL (first, outside, inside, last) to expand the terms in the brackets.

(w - 7)(w + 4)

first: w × w = w²

outside: w × 4 = 4w

inside: -7 × w = -7w

last: -7 × 4 = -28

Now you add all the terms together to get:

w² + 4w - 7w - 28

This simplifies to give you:

w² - 3w - 28

Hope that helps! :)

5 0
2 years ago
1] If 221ₓ= 25₁₀ find X<br> 2] if 3ₓ + 34ₓ - 40ₓ = 0 find x<br> 3] if 23ₓ = 1111₂ find x
Olin [163]

1.

2\cdot x^2+2\cdot x^1+1\cdot x^0=25\\2x^2+2x+1=25\\2x^2+2x-24=0\\x^2+x-12=0\\x^2+4x-3x-12=0\\x(x+4)-3(x+4)=0\\(x-3)(x+4)=0\\x=3 \vee x=-4

The base can't be negative, therefore x=3.

2.

3\cdot x^0+3\cdot x^1+4\cdot x^0-4\cdot x^1+0\cdot x^0=0\\3+3x+4-4x=0\\x=7

3.

2\cdot x^1+3\cdotx^0=1\cdot 2^3+1\cdot2^2+1\cdot2^1+1\cdot2^0\\2x+1=8+4+2+1\\2x=14\\x=7

5 0
1 year ago
The two tables give the number of pints of blue and yellow that are used to make different amounts of two shades of green dye.
abruzzese [7]

In the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2 and green #1 is bluer shade of green than Green # 2.

<h3>What is ratio of two numbers?</h3>

The ratio of two number is the fraction part, which represent that how a number is more or less compare to the other.

There are two tables which give the number of pints of blue and yellow that are used to make different amounts of two shades of green dye. The table is given below;

  • Green #1 is made by mixing blue and yellow in a ratio of 2 : 3.
  • Green #2 is made by mixing blue and yellow in a ratio of 1 : 2.

The first one has 2 parts of blue at 3 parts of yellow. In the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2.

In grade two the blue part is half of the yellow part. This means that green #1 is bluer shade of green than Green # 2.

Hence, in the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2 and green #1 is bluer shade of green than Green # 2.

Learn more about the ratio of two numbers here;

brainly.com/question/831500

#SPJ1

4 0
1 year ago
Una máquina demora 2 minutos y 30 segundos en fabricar una silla. Si en un día la máquina funciona sin parar 8 horas ¿Cuántas si
vaieri [72.5K]
Una máquina demora 2 minutos y 30 segundos en fabricar una silla. Si en un día la máquina funciona sin parar 8 horas ¿Cuántas sillas fabricará?

5 x 12
24 x 8
192
5 0
2 years ago
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