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cluponka [151]
3 years ago
7

Mr.Jones rents an office in a building for $600 a month. His office has an area of 1,250 square feet. At the same rate, how much

will it cost to rent an office with an area of 3,000 square feet?
Mathematics
1 answer:
mars1129 [50]3 years ago
8 0

Answer:

$1440

Step-by-step explanation:

From the above question:

We know that the rate is

1250 ft² = $600

3000 ft² = x

Cross Multiply

1250ft² × x = 3000ft² × $600

x = 3000ft² × $600/1250ft²

x = $1440

Therefore, at the same rate, the cost of an office with an area of 3000 square feet is $1440

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The total perimeter of a square is 36 inches. What is one side of the square equal to
never [62]

Note that a square has 4 congruent and equal length sides.

The total perimeter is 36

Divide 36 with 4

36/4 = 9

9 inches is your answer

hope this helps

5 0
3 years ago
Please help me with my homework<br><br> <img src="https://tex.z-dn.net/?f=%5Cbf%7B%28x%2B9%29%5E5%7D" id="TexFormula1" title="\b
Brut [27]

Answer:

x⁵+ 45x⁴+ 810x³+ 7290x²+ 32805x +59049

Step-by-step explanation:

Greetings !

Given expression

(x + 9) {}^{5}

write 5 as a sum

(x + 9) {}^{3 + 2}

use \: a {}^{m + n}  = a {}^{m}  \times a {}^{n} to \: expand \: the \: expression.

(x + 9) {}^{3}  \times (x + 9) {}^{2}

Use (a+b)³=a³+3a²b+b³ to expand the expression

(x {}^{3}  + 27x {}^{2}  + 243x + 729) \times (x + 9) {}^{2}

Use (a+b)²=a²+2ab+b² to the second expression to expand it

(x {}^{3}  + 27x {}^{2}  + 243x + 729) \times(x {}^{2}  + 18x + 81)

Finally, simplify the expression gives

x {}^{5}  + 45x {}^{4}  + 810x {}^{3}  + 7290x {}^{2}  + 32805x + 59049

Hope it helps!

3 0
2 years ago
Read 2 more answers
When analyzing three linear functions, Michele noticed that they all intersected at the point (5, 3). What conclusion can Michel
xz_007 [3.2K]

Answer: option B. it has the highest y-intercept.

Explanation:

1) point -slope equation of the line

y - y₁ = m (x - x₁)

2) Replace (x₁, y₁) with the point (5,3):

y - 5 = m (x - 3)

3) Expand using distributive property and simplify:

y - 5 = mx - 3m ⇒ y = mx + 5 - 3m

4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept

⇒ slope = m

⇒ b = 5 - 3m = y - intercept.

Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.

Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).

7 0
3 years ago
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What is a equation in slope intercept form for the line that has a slope -1 that passes through (-4,3)
aleksley [76]

slope is -1

m=-1

we have a point as (-4,3)

we can use slope intercept form of line

y=mx+b

we can plug m=-1

y=-x+b

now, we can plug point (-4,3)

x=-4 and y=3 and then we can find b

3=-1*-4+b

b=-1

now, we can plug back

and we get

y=-x-1............Answer

5 0
4 years ago
Read 2 more answers
Suppose you roll a special 31-sided die. What is the probability that one of the following numbers is rolled?
madreJ [45]

Answer:

34.78 is the answer to ur question

4 0
2 years ago
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