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2 years ago

Can someone please answer all of these due at 11:59 and I’ll give you a brainliest if right

Mathematics

1 answer:

Scorpion4ik [409]2 years ago

7 0

1. (C)
2. (D)
3. (A)
4. (C)
5. (D)
6. (B)

I hope this helps!

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A rug is to be centered in a room so that the border around it is of a consistent width on all four sides. If the room is 10 ft

aleksley [76]

Answer:

The width of the border can be 9 feet or 3.5 feet.

Step-by-step explanation:

Let the width be x

Length of room = 10 feet

Breadth of room = 15 feet

Length of rug = 10-2x

Breadth of rug = 15-2x

Area of rug = $(10-2x)(15-2x)$

We are given that the area of the rug is 24 square feet.

So, $(10-2x)(15-2x)=24$ ---A

$150-20x-30x+4x^2=24$

$150-24-50x+4x^2=0$

$126-50x+4x^2=0$

$2(x-9)(2x-7)=0$

$x=9,\frac{7}{2}$

$x=9,3.5$

Substitute x =9 in A

$(10-2(9))(15-2(9))=24$

$24=24$

LHS = RHS

Substitute x = 3.5

$(10-2(3.5))(15-2(3.5))=24$

$24=24$

LHS = RHS

So, The width of the border can be 9 feet or 3.5 feet.

7 0

3 years ago

You have a total of 52 respondents to a survey

Rama09 [41]

Answer:

17% , 15% , 6% , 10% , 40% , 6%

Step-by-step explanation:

You're going to have to divide the number of people who voted for those positions by the total number of people.

Adapting = 9 / 52 = 17%

Other = 8 / 52 = 15%

Yes = 3 / 52 = 6%

No = 5 / 52 = 10%

Absolutely = 21 / 52 = 40%

Maybe = 3 / 52 = 6%

6 0

2 years ago

One number is six times as large as a certain smaller number. Let x represent the smaller number. Write the larger number in ter

Svetach [21]

One number is six times as large as a certain smaller number.

i.e., Y = 6x

Answer is 6x

3 0

3 years ago

The measure of an angle is twenty-four times the measure of its complementary angle. What is the measure of each angle?

Bogdan [553]

Answer:

Step-by-step explanation:

24x - measure of an angle

x - the measure of a complementary angle

Complementary angles adds to 90°

x + 24x = 90°

25x = 90°

x = 90°÷25

x = 3.6°

24x = 24·3.6° = 86.4°

7 0

2 years ago

Consider the following 8 numbers, where one labelled

AlladinOne [14]

<h3>Answers: x = -17 and x = 64</h3>

====================================================

Explanation

Consider three scenarios:

A) The value of x is the smallest of the set (aka the min)
B) The value of x is the largest of the set (aka the max)
C) The value of x is neither the min, nor the max. So 8 < x < 39.

These scenarios cover all the possible cases of what x could be. It's either the min, the max, or somewhere in between the min and max.

--------------------

We'll start with scenario A.

If x is the min, then that must mean 39 is the max as it's the largest of the set {18, 36, 16, 39, 27, 8, 34}

The range is 56, so,

range = max - min

56 = 39 - x

56+x= 39

x = 39-56

x = -17 which is one possible answer

--------------------

If instead we go with scenario B, then x is the max and 8 is the min

range = max - min

56 = x - 8

56+8 = x

64 = x

x = 64 is the other possible answer

--------------------

Lastly, let's consider scenario C. If x is not the min or the max, then it's somewhere between the min 8 and max 39. in short, 8 < x < 39.

Note that range = max - min = 39-8 = 31 which is not the range of 56 that we want. So there's no way scenario C can be possible here.

7 0

2 years ago