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2 years ago

6

Layla, Eliana and Nature each carried 10 pound bag of soil into the backyard. After putting soil in the first flower bed, Layla'

s bag was ⅝ full, Eliana's bag was ⅖ full, and Nature's bag was ¾ full. How many pounds of soil did they put in the first flower bed altogether?

1 answer:

Ivanshal [37]2 years ago

8 0

Answer: 17.75 pounds

Step-by-step explanation:

After putting soil in the first flower bed, Layla's bag was ⅝ full. The pound of soil will be: = 5/8 × 10 = 6.25 pounds

Eliana's bag was ⅖ full. The pound of soil will be: = 2/5 × 10 = 4 pounds

Nature's bag was ¾ full. The pound of soil will be: = 3/4 × 10 = 30/4 = 7.5 pounds

The number of pounds of soil that they put in the first flower bed altogether will be:

= 6.25 + 4 + 7.5

= 17.75 pounds

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In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates unit

MAXImum [283]

Given:

The vertices of a right triangle are:

$(-3,4),(3,4),(3,-4)$

To find:

The length of the hypotenuse of the given right triangle.

Solution:

Let the vertices of the right triangle are $A(-3,4),B(3,4),C(3,-4)$ .

The distance formula is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$AB=\sqrt{(3-(-3))^2+(4-4)^2}$

$AB=\sqrt{(3+3)^2+(0)^2}$

$AB=\sqrt{(6)^2+0}$

$AB=\sqrt{36}$

$AB=6$

Similarly,

$BC=\sqrt{(3-3)^2+(-4-4)^2}$

$BC=\sqrt{(0)^2+(-8)^2}$

$BC=\sqrt{64}$

$BC=8$

And,

$AC=\sqrt{(3-(-3))^2+(-4-4)^2}$

$AC=\sqrt{(6)^2+(-8)^2}$

$AC=\sqrt{36+64}$

$AC=\sqrt{100}$

$AC=10$

Now, taking sum of squares of two smaller sides, we get

$AB^2+BC^2=6^2+8^2$

$AB^2+BC^2=36+64$

$AB^2+BC^2=100$

$AB^2+BC^2=AC^2$

By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.

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2 years ago

What is the length of the transverse axis?

Basile [38]

((x-2)÷6)-((y+1)÷8)=1.

(x÷6)-0.3333-(y+0.25)=1

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3 years ago

Please show work for it.

Komok [63]

Answer:

7over9 or -7over9

Step-by-step explanation:

81x power 2 - 8 = 41

(left side) (right side)

first we let the 8 from left side go to the right side,so it will be +8:

81x power 2 = 41+ 8

=49

so now we let the 81 from left side go to right side, so it will be ÷81:

x power 2= 49 over 81

and now we let the power 2 (square) go to the other side so it will become square root:

x = + - √49 over 81

at the end, you will get 2 answers which is 7 over 9 and - 7 over 9

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

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