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2 years ago

The area of a room is 396 square feet. The length is x+3, and the width is x+7 feet. Find the dimensions of the room

1 answer:

3 0

This is an odd problem. The length and width look like they should be interchanged. Anyway I'll solve it and we'll talk about the results.
(x +7) (x + 3) = 396
x^2 + 7x + 3x + 21 = 396
x^2 + 10x + 21 = 396 Subtract 21 from both sides.
x^2 + 10x = 396 - 21
x^2 + 10x = 375
x^2 + 10x - 375 = 0 This probably factors.
(x + 25)(x - 15)
x + 25 = 0
x = - 25 which makes no sense. Negatives do not describe room dimensions.
x - 15= 0
x = 15. this is fine.

x+3 = 15 + 3 = 18
x + 7 = 15 + 7= 22

Check
=====
Area = L * W = 18 * 22 = 496. It does check.
22 should be the length

18 should be the width.

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Given my current rate = $129.00 per month.

Savings of 15% over your prices.

Therefore, saving = 15% of $129.00 = 0.15 × 129.00 =$19.35.

Adjusted rate = current rate - saving = 129 - 19.35 = $109.65

Therefore, We can rewrite above expression as :

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2 years ago

Five and nine tenths in expanded form and standard

nika2105 [10]

Answer:

5×1 +9×0.1
5.9

Step-by-step explanation:

The verbiage "five and nine tenths" can refer to the mixed number 5 9/10, or to the decimal in standard form, 5.9. Simply converting the phrase to a decimal gets you the standard form.

The expanded form can be written a number of ways, depending on how you like to show the place value multipliers. The simplest expanded form is simply the sum of the digits:

5 + 0.9

You can show the multipliers in standard form:

5×1 + 9×0.1

Or, you can show the multipliers in exponential form:

5×10⁰ +9×10⁻¹

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2 years ago

Which of the following functions is graphed below?

dalvyx [7]

Answer:

The function graphed is y = Ix - 5I - 4 ⇒ answer D

Step-by-step explanation:

* Lets explain how to solve this problem

- From the graph

# The graph intersects the x-axis at x = 1 and x = 9

∴ The x-intercepts are 1 and 9

- We can find x-intercept by equate y by 0

* Lets equate the answers by zero to find the x-intercept

# y = Ix + 5I - 4

∵ Ix + 5I - 4 = 0

- Add 4 to both sides

∴ Ix + 5I = 4

- Remember in Ia + bI = c, then we have two answers :

a + b = c OR a + b = -c

∵ Ix + 5I = 4

∴ x + 5 = 4 ⇒ subtract 5 from both sides

∴ x = -1

- OR

∴ x + 5 = -4 ⇒ subtract 5 from both sides

∴ x = -9

∴ The x-intercepts are -1 and -9 not the same with figure

# y = Ix - 5I + 4

∵ Ix - 5I + 4 = 0

- Subtract 4 from both sides

∴ Ix - 5I = -4

- Remember in Ia + bI = c , c can't be negative because the absolute

value is always positive

∴ We can't solve this equation

# y = Ix + 5I + 4

∵ Ix + 5I + 4 = 0

- Subtract 4 from both sides

∴ Ix + 5I = -4

- Remember in Ia + bI = c , c can't be negative because the absolute

value is always positive

∴ We can't solve this equation

# y = Ix - 5I - 4

∵ Ix - 5I - 4 = 0

- Add 4 to both sides

∴ Ix - 5I = 4

- Remember in Ia + bI = c, then we have two answers :

a + b = c OR a + b = -c

∵ Ix - 5I = 4

∴ x - 5 = 4 ⇒ add 5 to both sides

∴ x = 9

- OR

∴ x - 5 = -4 ⇒ add 5 to both sides

∴ x = 1

∴ The x-intercepts are 1 and 9 the same with figure

* The function graphed is y = Ix - 5I - 4

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2 years ago

Mr. Alvarez makes a walkway out of 3 cement slabs. He uses 14 cubic feet of cement to make the walk way. Each square slab has a

Natalija [7]

Answer:

The middle slab is 2 cubic feet.

Step-by-step explanation:

The problem presents the information: Mr. Alvarez makes a walkway out of 3 cement slabs.

However, he uses 14 Cubic feet of cement to make the walkway. Each square slab has a volume of 4 cubic feet.

Mr. Alvarez makes the way with 3 cement slabs (NC), each cement slab is 4 cubic feet (UC). It means, the cubic feet for the 3 cement slabs (CS) are:

CS = NC* UC = 3*4 = 12 cubic feet.

It means Mr. Alvarez uses 12 cubic feet with 3 cement slabs.

Mr. Alvarez used in total of 14 cubic feet of cement (TC). At this moment he used 12 cubic feet of cement (CS). It means, there will be a part of the cement slab used (PC).

PC = TC - CS = 14 - 12 = 2 Cubic feet.

Finally, the middle slab is 2 cubic feet of cement.

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2 years ago

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2 years ago