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3 years ago

The height of a sunflower increases from 82 cm to 1 metre in a week. Find the percentage increase in height.

1 answer:

7 0

So, the sunflower is increasing from .82 meters to 1 meter. This is a .18 meter increase. We need to figure out what percent of 82 18 is. We do this by dividing 18 by 82 and multiply the result by 100 to get a percent. This equals 21.95%

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2x+y=8 y+3z=5 z+2w=1 5w+3x=9 Find the solution to each variable

morpeh [17]

Answer:

w = 0, x = 3, y = 2, z = 1

Step-by-step explanation:

You can use each equation to write an expression that will substitute into the next equation.

y = 8 -2x . . . . from the first equation

8 -2x + 3z = 5 . . . . . substituted into the second equation

z = (-3 +2x)/3 . . . . . solved for z

(-1 +2/3x) +2w = 1 . . . . . substituted into the third equation

w = (2 -2/3x)/2 . . . . . solved for w

5(1 -1/3x) +3x = 9 . . . . . substituted into the last equation

4/3x = 4 . . . . . simplified, 5 subtracted

x = 3 . . . . . . . . multiply by 3/4

w = 0 . . . . . . . .value of x substituted into equation for w

z = 1 . . . . . . . . value of x substituted into equation for z

y = 2 . . . . . . . .value of x substituted into equation for y

The solution is (w, x, y, z) = (0, 3, 2, 1).

4 0

3 years ago

En una hoja de papel cuyo perímetro es de 96 centímetros, se quiere imprimir un volante de manera que el área impresa sea un rec

elixir [45]

Answer:

El perímetro de la región impresa es 72 cm y su área es 288 cm².

Step-by-step explanation:

1. Tenemos el perímetro de la hoja de papel:

P₁ = 96 cm = 2l₁ + 2a₁ (1)

Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):

$l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm$ (2)

$a_{2} = a_{1} - (m_{d} + m_{iz}) = a_{1} - (2 cm + 5 cm) = a_{1} - 7 cm$ (3)

El perímetro del rectángulo interno es:

$P_{2} = 2l_{2} + 2a_{2}$ (4)

Introduciendo la ecuación (2) y (3) en (4):

$P_{2} = 2l_{2} + 2a_{2} = 2(l_{1} - 5 cm) + 2(a_{1} - 7 cm) = 2l_{1} + 2a_{1} - 10 cm - 14 cm = 96 cm - 24 cm = 72 cm$

Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.

2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:

$l_{2} = 2a_{2}$ (5)

Introduciendo (5) en (4):

$P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2}$

$a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm$

$l_{2} = 2a_{2} = 2*12 cm = 24 cm$

Entonces el área es:

$A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2}$

Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².

Espero que te sea de utilidad!

7 0

2 years ago

How are a desert and a tundra similar?

Hatshy [7]

Answer:

D is right option

Step-by-step explanation:

Similarities:

Both the biomes experience less precipitation due to this they have a less diversity of flora and fauna as compared to other biomes like savanna, grasslands, chaparral etc. Let us see how they differ from each other!

Low rain fall _ annual rainfal of lessthan 20cm in deserts, 15-20cm in tundra

Minimal life_ only small shurbs can survive in both kind of environments

Poor drainage.. In deserts, though sandy soil may seem much porous, these are most flood prone areas of world. The tundra is characterised by permafrost soils ie, under the thin layer of soil, a thick ice sheet is present and hence is no seepage.

High range of temperatures: In tundra, the maximum temperatures are recorded in summer (abt 10^C) and minimum during winter(-20 to -30^C). While, in desert too, the temperature range is high but diurnally ie, nights are too cold and day time is scorching.

8 0

3 years ago

Jasmine needs 300cm of fabric to make her new dress. The fabric costs $5 for each METER. How much will her fabric cost to make?

drek231 [11]

Answer:

$15

Step-by-step explanation:

Step 1:

300cm = 3m

Step 2:

$5 per 1m

Step 3:

$5 × 3

Answer:

$15

Hope This Helps :)

7 0

3 years ago

Can u please help me on this problem

xxMikexx [17]

Any line is 180 degrees, so z is 67 degrees and x is 6.

7 0

3 years ago