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jek_recluse [69]
3 years ago
5

PLS HELP ME ASAP FOR 4, 5, and 6 (SHOW WORK!) + LOTS OF POINTS!

Mathematics
2 answers:
Wewaii [24]3 years ago
7 0
4. D does NOT form a proportion
5. To get the answer you would multiply 45*8=360 then 360/18=20 so n=20

6. same as number 2
multiply 1.2*.6= .72 then .72/1.6= .45 so w=.45
Ira Lisetskai [31]3 years ago
7 0
4. (a) 8/14 = 4/7
         20/35 = 4/7
    (b) 6/10 = 3/5
         15/25 = 3/5
    (c) 9/4
         36/16 = 9/4
    (d) 12/15 = 4/5
          30/40 = 3/4
The answer is D.

5. 8/18 = n/45
   18 x n = 45 x 8
   18 x n = 360
    n = 360/18
       = 20
The answer is C.

6. 0.6/1.6 = w/1.2
    0.6 x 1.2 = w x 1.6
    0.72 = w x 1.6
    0.72/1.6 = w
    w = 0.45
The answer is A.
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butalik [34]
The triangle is acute. Since all triangles have 180 degrees, you can find the third angle by subtracting the sum of the other angles from 180.
180 - (25 + 87) = third angle
180 - 112 = third angle
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4 years ago
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Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32. Ms Ramirez bought 4 rolls of toilet paper and 1
zlopas [31]

Answer:

The cost of a roll of toilet paper is <u>$2</u> and the cost of a bottle of hand sanitizer is <u>$4</u>.

Step-by-step explanation:

Given:

Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32.

Ms Ramirez bought 4 rolls of toilet paper and 1 bottle of hand sanitizer for $12.

Now, to find the cost for each item sold.

Let the cost of a roll of toilet paper be x.

And the cost of a bottle of hand sanitizer be y.

So, the cost of 4 rolls of toilet paper and 1 bottle of hand sanitizer:

4x+y=12\\\\y=12-4x\ \ \ \ .....(1)

Now, the cost of 6 rolls of toilet paper and 5 bottles of hand sanitizer:

6x+5y=32

Substituting the value of y from equation (1):

6x+5(12-4x)=32

6x+60-20x=32

60-14x=32

<em>Subtracting both sides by 60 we get:</em>

<em />-14x=-28<em />

<em>Dividing both sides by -14 we get:</em>

x=2.

<u>The cost of a roll of toilet paper = $2.</u>

Now, substituting the value of x in equation (1):

y=12-4x\\\\y=12-4\times 2\\\\y=12-8\\\\y=4.

<u>The cost of a bottle of hand sanitizer = $4.</u>

Therefore, the cost of a roll of toilet paper is $2 and the cost of a bottle of hand sanitizer is $4.

7 0
3 years ago
John was visiting four cities that form a rectangle on a coordinate grid at A(0, 4), B(4, 2), C(1, -4) and D(-3, -2). What is th
allsm [11]

Answer:

Area = 30

Step-by-step explanation:

Given

Rectangle coordinates

A = (0,4)

B = (4,2)

C = (1,-4)

D =(-3,-2)

Required

The area of the rectangle

The area is calculated as:

Area = Length* Width

The length of the rectangle will be represented as:

Length = AB = CD

And the width is:

Width = BC = AD

Calculate distance AB using:

AB = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 }

Where:

A = (0,4) --- (x_1,y_1)

B = (4,2) --- (x_2,y_2)

AB = \sqrt{(0 - 4)^2 +(4 - 2)^2 }

AB = \sqrt{(- 4)^2 +(2)^2 }

AB = \sqrt{16 +4 }

AB = \sqrt{20}

Calculate distance BC using:

BC = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 }

C = (1,-4) ---(x_1,y_1)

B = (4,2) --- (x_2,y_2)

BC = \sqrt{(1 - 4)^2 +(-4 - 2)^2 }

BC = \sqrt{(- 3)^2 +(-6)^2 }

BC = \sqrt{9 +36}

BC = \sqrt{45}

So, the area is:

Area = Length * Width

Area = AB * BC

Area = \sqrt{20} * \sqrt{45}

Area = \sqrt{20 * 45}

Area = \sqrt{900

Area = 30

4 0
3 years ago
Select the correct answer. Identify the axis of symmetry of the function graphed below. A. x = -3 B. x = -1 C. x = 1 D. x = -4
Ainat [17]

Answer:

B

Step-by-step explanation:

The vertex of the parabola is (-1,-4)

So the axis of symetry is x=-1

3 0
4 years ago
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