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AleksandrR [38]
3 years ago
14

Write the fraction as a product of a whole number and a unit fraction. 7/8

Mathematics
1 answer:
aleksklad [387]3 years ago
7 0
The unit fraction of 7/8 is 1/8
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The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.
mestny [16]

Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = \frac{1}{2}(b_1+b_2)h

where b_1 and b_2 are the parallel sides and h is the distance between these sides.

Area of trapezoid (1) = \frac{1}{2}(11+12)\times 6

                                  = 69 m²

Area of the rectangle (2) = Length × Width

                                         = 12 × 15

                                         = 180 m²

Area of the trapezoid (3) = \frac{1}{2}(12+10)\times 11

                                         = 121 m²

Now area of the wall = 69 + 180 + 121

                                   = 370 m²

One tin covers the area = 25 m²

Number of tins required to paint the wall = \frac{\text{Total area}}{\text{Area covered by one tin}}

= \frac{370}{25}

= 14.8

Therefore, number of tins to be purchased = 15

Cost to paint the complete wall = 15 × £7

                                                       = £105

8 0
3 years ago
1 and 2 are vertical angles. If m1= (6x+ 11) ° and m2 = (10x–9) ° , findm1
melamori03 [73]

They are all vertical angles.

3 0
3 years ago
5/6w+21=-1/3(2w-9).
oksian1 [2.3K]
I believe this question logically tells us to find the value of w. The two equations are already equated. Since there is 1 unknown and 1 equation, the system is solvable. The solution is as follows:

5/(6w+21) = -1/3(2w - 9)
5/(6w+21) = -1/(6w - 27)
Cross multiplying the terms:
5(6w - 27) = -1(6w +21)
30w - 135 = -6w - 21
30w + 6w = -21 + 135 = 114
36w = 114
w = 114/36
w = 19/6 or 3.167
7 0
3 years ago
A coffee seller makes a salary of $3,500 per month plus a $12 commission for every $100 of coffee he sells. A case of coffee cos
Bond [772]

Answer:

50

Step-by-step explanation:

because 3,650-3,500=150 and then 150/12=12.5x4=50

4 0
2 years ago
A three-dimensional object has a depth of 8 inches and a triangular base that has an area of 12 square inches, so it has a volum
Lemur [1.5K]

Answer:  Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Area of triangular base = 12 sq. inches

Height of a three dimensional object = 8 inches

We need to find the Volume of that object.

As we know that "Volume = Area of base × Height "

So, it becomes,

Volume=12\times 8\\\\Volume= 96\ cubic.\ inches

So, the volume of object is 96 cubic inches.

Hence, Option 'D' is correct.

4 0
3 years ago
Read 2 more answers
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