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Airida [17]
3 years ago
5

can someone check my answers? i'm not sure i have them all right. will fan and give a medal for help! attached below

Mathematics
1 answer:
vekshin13 years ago
8 0
I will go with yes .



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If the surface area of the box in the diagram is 204.25 square feet, what is the value of ‘x’?
Alexandra [31]

Note: Consider x be the breadth of the box.

Given:

The surface area of the box is 204.25 square feet.

Length of the box = 10 ft

Breadth of the box = x ft

Height of the box = 6.5 ft

To find:

The value of x.

Solution:

The surface area of a cuboid is:

SA=2(lb+bh+hl)

Where, l is length, b is breadth and h is height of the cuboid.

Putting SA=204.25,  l=10,\ b=x,\ h=6.5 in the above formula, we get

204.25=2(10\times x+x\times 6.5+6.5\times 10)

204.25=2(10x+6.5x+65)

204.25=2(16.5x+65)

Using distributive property, we get

204.25=2(16.5x)+2(65)

204.25=33x+130

204.25-130=33x

74.25=33x

Divide both sides by 33.

\dfrac{74.25}{33}=x

2.25=x

Therefore, the correct option is B.

7 0
3 years ago
1651 rounded to the nearest thousand
geniusboy [140]

Answer:

2000

nearest thousandth

if the last 3 digits are over 500 then it's rounding up

7 0
2 years ago
Evaluate the expression
nekit [7.7K]

Answer:

2

Step-by-step explanation:

2Y = 10

10 - 6 = 4

x = 2

4/2 = 2

3 0
3 years ago
Read 2 more answers
(1/27)^x-6=27<br><br>Could I please have a step by step as well? Much appreciated! ​
Andrei [34K]

Answer:

x = 7

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

\frac{1}{ {27}^{x - 8} }  = 27

2) Multiply both sides by 27^x - 8.

1 =  {27} \times 27^{1 + x  - 8}

3) Use the product rule: x^a x^b = x^a+b.

1 =  {27}^{1 + x - 8}

4) Simplify 1 + x - 8 to x - 7.

1  =  {27}^{x - 7}

5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.

log_{27}1 = x - 7

6) Use Change of Base Rule.

\frac{ log_1  }{  log{27} }  = x - 7

7) Use rule of 1: log 1 = 0.

\frac{0}{ log_{27}}  = x - 7

8) Simplify 0/log_27 to 0.

0 = x - 7

9) Add 7 to both sides.

7 = x

10) Switch sides.

x = 7

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>

5 0
3 years ago
Marie saved $3,000 dollars last year. She saved $600 in the month of January. What percent of the money she saved last year was
Archy [21]

Answer:

20% of the money was saved from January.

Here is the way to find percentage.

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number

Then:  divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

<u>Step-by-step explanation:</u>


5 0
3 years ago
Read 2 more answers
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