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Kipish [7]
3 years ago
9

A piece of wire 6 cm long weighs 30 grams. What is the weight of an 8 m length of the same wire?

Mathematics
1 answer:
Feliz [49]3 years ago
5 0

Answer:

4000 gm

Step-by-step explanation:

We can use ratios to solve

Change 8 m to cm

8m * 100cm/1m = 800 cm

6 cm             800 cm

-------------  = ------------

30 grams      x gm

Using cross products

6 * x = 800 * 30

6x = 24000

Divide by 6

6x/6 = 24000/6

x = 4000 gm

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Factor Quadratics
lawyer [7]

Answer:

Let's factor x2+3x−18

x2+3x−18

The middle number is 3 and the last number is -18.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 3

Multiply together to get -18

Can you think of the two numbers?

Try -3 and 6:

-3+6 = 3

-3*6 = -18

Fill in the blanks in

(x+_)(x+_)

with -3 and 6 to get...

(x-3)(x+6)

Answer:

(x−3)(x+6)

Step-by-step explanation:

3 0
3 years ago
The m6 = (11x + 8)° and m7 = (12x – 4)° What is the measure of 4? m4 = 40° m4 = 48° m4 = 132° m4 = 140°
bezimeni [28]
M< 6 = m< 7 (vertical angles)
11x + 8 = <span>12x – 4
12x - 11x = 8 + 4
 x = 12
so
m< 6 = </span>11x + 8 
m< 6 = 11(12) + 8
m< 6 = 132 + 8
m< 6 = 140

m<4 = 180 - m<6
m<4 = 180 - 140
m<4 = 40

answer

<span>m<4 = 40</span>
7 0
4 years ago
Read 2 more answers
What property is this?<br> (13+a)+4a+2<br> GIVING 30 POINTS
ddd [48]

Answer: 5a+ 13

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A square poster has a side length of 26 in. Drawn on the poster are four identical triangles. Each triangle has a base of 8 in.
Firdavs [7]
To find the probability of landing on a triangle, you will want find the combined areas of the triangles and the total area of the square target.

Divide the area of the combined areas and the total area to find the probability of landing on a triangle.

A = 1/2bh
      1/2 x 8 x 8
A = 32 square inches
32 x 4
128 square inches (areas of triangles)

A = bh
     26 x 26
A = 676 square inches

128/676 = 0.189

There is an approximate probability of 0.19 of hitting a triangle.
6 0
3 years ago
Read 2 more answers
. A un concierto asistieron 10000 personas , lo que representó un total de
BigorU [14]

Answer:

Número de boletos general = 8000

Número de boletos preferente = 2000

Step-by-step explanation:

Total de personas = 10000 personas

Venta total = $6600000

Ecuación para la venta total en terminos de boletos vendidos:

Número de boletos general = variable g

Número de boletos preferente = variable p

$500g + $1300p = $6600000

Simplifica la ecuación:

5g + 13p = 66000

Subsituye una de las variables usando la ecuación g + p = 10000:

g + p = 10000 => g = 10000 - p

5g + 13p = 66000 => 5(10000 - p) + 13p = 66000

Aislar la variable p:

5(10000 - p) + 13p = 66000

50000 - 5p + 13p = 66000

8p = 16000

p = 16000/8 = 2000

g = 10000 - p = 10000 - 2000 = 8000

Número de boletos general = 8000

Número de boletos preferente = 2000

7 0
3 years ago
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