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TEA [102]
2 years ago
8

Which one of these scales is equivalent to the scale 1 cm to 5 km? 3 cm to 15 km 1 mm to 150 km 5 cm to 2.5 km 1 mm to 500 m

Mathematics
1 answer:
Jobisdone [24]2 years ago
5 0

1cm×3 to 5km×3=3cm to15km

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Question 45 A length of pipe that weighs 45 pounds is cut into two pieces. One of the pieces is 3 feet long and weighs 18 pounds
dmitriy555 [2]

Answer: 4.5 pounds.

Step-by-step explanation:

Given : Weight of original pipe =45 pounds

Weight of first piece = 18 pounds

Then, Weight of  other piece = 45- 18 =  27 pounds

Length of first piece = 3 feet

Let x be the length of other piece.

As length is directly proportional to weight.

Then, \dfrac{x}{27}=\dfrac{3}{18}

\Rightarrow\ \dfrac{x}{27}=\dfrac{1}{6}\\\\\Rightarrow\ x=\dfrac{1}{6}\times27 =4.5

Hence, the he length of the other piece = 4.5 pounds.

7 0
2 years ago
The manager at Gabriela's Furniture Store is trying to figure out how much to charge for a book shelf that just arrived. The boo
maria [59]
The shelf should sell for $235.20.

Marking the price up by 60% means taking 160% of the cost:
160% = 160/100 = 1.6; 1.6(147) = 235.20
5 0
2 years ago
Read 2 more answers
What is the positive solution to this equation? 4x2 + 12x = 135​
Bas_tet [7]

Answer:

127/12

Step-by-step explanation:

4 × 2 + 12x = 135

(1. Simplify 4 x 2 to 8.

8 + 12x = 135

(2. Subtract 88 from both sides.

12x= 135 - 8

(3. Simplify 135 - 8 to 127

12x = 127

(4. Divide both sides by 12

x= 127/12

Decimal Form: 10.583333

I think this is the awnser, but don't quote me on that

4 0
2 years ago
Caroline, Colin & Sarah share some money.
julia-pushkina [17]

Answer:

2/9

Step-by-step explanation:

After Caroline's share,

1 - 1/9 = 8/9 is left

Sarah gets:

1/(1+3) of 8/9

1/4 × 8/9

2/9

4 0
2 years ago
Find the center of the circle: x2 + 2x - 3 + y2 = 5.
rosijanka [135]

Answer:

\boxed{(-1, 0)}

Step-by-step explanation:

x² + 2x - 3 + y²  = 5

Strategy:

Convert the equation to the centre-radius form:

(x - h)² + (y - k)² = r²

The centre of the circle is at (h, k) and the radius is r .

Solution:

Move the number to the right-hand side.

x² + 2x + y²  = 8

Complete the square for x

(Take half the coefficient of x, square it, and add to each side of the equation)

(x² + 2x + 1) + y² = 9

Complete the square for y

The coefficient of y is zero.

(x² + 2x + 1) + y² = 9

Express the result as the sum of squares

(x + 1)² + y² = 3²

h = -1; k = 0; r = 3

The centre of the circle is at \boxed{(-1,0)}

The graph of the circle below has its centre at (-1,0) and radius 3.

4 0
2 years ago
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