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3 years ago

Dan painted 3/4 of a wall using 1/4 of a can of paint.Select all statements that are true.

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

5 0

Answer:

B, C, F

Step-by-step explanation:

3/4 is 3 times 1/4, so the number of walls Dan can paint is 3 times the number of cans Dan uses.

A. 1/2 can will paint 3/2 walls, not 2.

B. 1 can will paint 3 walls — true

C. 5/3 cans will paint 5 walls — true

D. 2 cans will paint 6 walls, not 8.

E. 5/2 cans will paint 15/2 = 7 1/2 walls, not 10.

F. 11/3 cans will paint 11 walls — true

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myrzilka [38]

Answer: 25 + 15x ≤ 150

Step-by-step explanation: For this problem we will write an inequality to represent this situation.

Let x equal each additional day.

25 + 15x ≤ 150

The inequality above states that the dog owner will spend $25 for the first day and then for each additional day the dog owner will spend $15, but is budget is no more than $150 that the dog owner can spend.

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3 years ago

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Cynthia Besch wants to buy a rug for a room that is 1919 ft wide and 2727 ft long. She wants to leave a uniform strip of floor a

yulyashka [42]

Answer:

The dimension of the rug would be 17 ft × 9 ft.

Step-by-step explanation:

Given

length of the room = 27 ft.

width of the room = 19 ft.

suppose, she leaves a uniform strip of x ft. around the rug.

So,

The length of rug = (27-2x)ft.

Width of rug= (19-2x)ft.

∴ Area of the rug= length×width

$= (27-2x)(19-2x)$

$= 513-54x-38x+4x^2$

$= 513-92x+4x^2$

According to the question,

$513-92x+4x^2=153$

$513-92x+4x^2-153=0$ ( subtract 153 both sides)

$4x^2-92x+360=0$

$4(x^2-23x+90)=0$

$x^2-23x+90=0$

$x^2-(18+5)x+90=0$ ( Middle term splitting)

$x^2-18x-5x+90=0$

$x(x-18)-5(x-18)=0$

$(x-5)(x-18)=0$

$x-5=0$ or $x-18=0$ ( zero product property)

$x=5$ or $x=18$

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3 years ago

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Answer:

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3 years ago

A cheetah ran 300 feet in 2.92 secods. What was the cheetahs average speed in miles per hou? Show your work.

Tom [10]

Start by converting 300 feet to miles and 2.92 seconds to hours.

300 feet 1 mile
----------- x -------------- = ?
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2.92 sec 1 hr
----------------- * ---------------- = ?
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Reduce each of the above fractions. Then convert 300 feet
-------------- to the
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3 years ago

In circle O, ST is a diameter.

Andreas93 [3]

The value of x must be 25.0. The correct option is the second option- 25.0

<h3>Solving Linear equations </h3>

From the question, we are to determine the value of x

From the given diagram, we can write that

m ∠SOR + m ∠UOR + m ∠TOU = 180° (<em>Sum of angles on a straight line</em>)

∴ (2x +8)° + (3x - 14)° + (3x -14)° = 180°

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8x° = 180° + 20°

8x° = 200°

x = 200/8

x = 25.0

Hence, the value of x must be 25.0. The correct option is the second option- 25.0

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2 years ago

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