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2 years ago

Erin built a wooden box to hold hay on her farm. The box is 3 m long, 1 m wide, and 1 m high. Hay costs $14 per cubic meter.

Mathematics

1 answer:

nydimaria [60]2 years ago

5 0

Answer:

It will cost 42 to completely fill the box with hay.

have a good day <3

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Find the slope of the line y = -7/6x - 8/3.

Nezavi [6.7K]

Hello!

This equation is written in slope-intercept form.

Slope-intercept form is y = mx + b, where m is the slope and y is the y-intercept.

Since the coefficient -7/6 is multiplied with x, the slope (or m) has to equal to -7/6.

Therefore, the slope of the line is -7/6.

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2 years ago

Use the multiplication property of exponents to determine if each statement is true or false.

lisabon 2012 [21]

1)
LHS:
${a}^{4} \times {a}^{3} \times a \\ = {a}^{4 + 3 + 1} \\ = {a}^{7}$
LHS = RHS. So, the statement is true

2)
LHS:
${5}^{2} \times {3}^{4} \\ = 25 \times 81 \\ = {5}^{2} \times {9}^{2} \\ = {45}^{2}$
LHS not equal to RHS. So, the statement is false

3)
LHS:
${x}^{6} \times {x}^{0} \times {x}^{2} \times {x}^{3} \\ = {x}^{6 + 0 + 2 + 3} \\ = {x}^{11}$
LHS = RHS. So, the statement is true.

4)
LHS:
$7 {m}^{2} \times 2m \times 4 {m}^{5} \\ = (7 \times 2 \times 4) {m}^{2 + 1 + 5} \\ = 56 {m}^{8}$
LHS = RHS. So, the statement is true.

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2 years ago

Michael received a grant to make a community garden. He makes a scale drawing of his vision for the garden. Michael's drawing sh

Mila [183]

Step-by-step explanation:

Find the diagram to the question attached.

From the diagram, we are given the following dimension for one of the beds;

Length = 16cm

Width = 8cm

If the scale from his drawing to the actual garden is 2 cm for every 1 ft, then on converting to feet;

2cm = 1ft

16cm = x fr

cross multiply

2x = 16

x = 8ft

Hence 16cm = 8ft (based on the scale)

Similarly:

2cm = 1ft

8cm = x fr

cross multiply

2x = 8

x = 4ft

Area of the garden bed (in feet) = Length * Width

Area of the garden bed = 8ft * 4ft

Area of the garden bed = 32ft²

Hence the actual area of one of the garden beds is 32ft². We need to find 2 things fir us to get the required answer. First is the length of the bed in feet and the second is the width of the bed in feet.

8 0

2 years ago

Help ASAP plz!!

marusya05 [52]

Answer: D
(0,-4) (12,6)
slope= 10/12
slope== 5/6
y=5/6x+b
-4=0+b
b=-4
the equation of the line is
y=5/6x-4

6 0

2 years ago

5-2(a+3b)/2 When a=4 and b=1.

nirvana33 [79]

Hello macelynn190!

$\huge \boxed{\mathfrak{Question} \downarrow}$

$\huge \tt \frac{5 - 2(a + 3b)}{2}$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

To solve this question we need to substitute the given values of 'a' & 'b' in the equation & then simplify it.

Given,

a = 4
b = 1

Now, substitute this in the place of 'a' & 'b'..

$\large \tt \frac{5 - 2(a + 3b)}{2} \\ = \large \underline{\underline{\tt \: \frac{5 - 2((4) + 3(1))}{2} }}$

Lastly, simplify it...

$\large \tt \: \frac{5 - 2((4) + 3(1))}{2} \\ = \large \tt\frac{5 - 2(4 + 3)}{2} \\ = \large \tt \: \frac{5 - 2(7)}{2} \\ = \large \tt \: \frac{5 - 14}{2} \\ = \large \tt\frac{-9}{2} \\ = \large \boxed{\boxed{ \bf \: -\frac{9}{2}=-4.5}}$

The answer is -9/2 or -4.5

__________________

Hope it'll help you!

ℓu¢αzz ッ

5 0

1 year ago

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