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3 years ago

Please zoom in before you start solving because there are tricks in here. What is the answer?

Mathematics

1 answer:

blondinia [14]3 years ago

7 0

45 ÷ 3 = 15
21 ÷ 3 = 7
12 ÷ 3 = 4

(4 + 15) x 7 = 133

OR if you’re using bedmas/pedmas

4 + (15 x 7) = 109

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Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 litres tin

vesna_86 [32]

Answer:

Yes, he will have enough paint to cover the tank with one layer of paint.

Step-by-step explanation:

We are given that Tublu buys a cylindrical water tank of height 1.4 m and diameter 1.1 m to catch rainwater off his roof. He has a full 2 liters tin of paint in his store and decides to paint the tank (not the base).

He uses 250 ml to cover 1 $\text{m}^{2}$ .

From the question, it is clear the area of the tank which needs to be painted is the lateral surface area (because the base is not included).

The lateral surface area of the cylinder = $2\pi rh$

where, r = radius of the cylinder = $\frac{\text{Diameter}}{2}$ = $\frac{1.1 }{2}$ = 0.55 m

h = height of the cylinder = 1.4 m

$\pi$ = 3.142 (given)

So, the lateral surface area of a cylindrical water tank = $2 \times 3.142 \times 0.55 \times 1.4$

= 4.84 $\text{m}^{2}$ .

Now, it is given in the question that; Tublu uses 250 ml to cover 1 $\text{m}^{2}$ area, this means that;

To cover 4.84 $\text{m}^{2}$ area, he will use paint = $4.84 \times 250$ = 1210 ml

Since he has a full 2 liters tin of paint in his store which is equal to 2000 ml but he need only 1210 ml of paint.

This means that yes, he will have enough paint to cover the tank with one layer of paint.

8 0

3 years ago

Consider a small ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let X and Y

harina [27]

Answer:

Expected revenue from the single trip is $ 13.14

Step-by-step explanation:

p(x,y) 0 1 2 g(x)

x 0 0.025 0.015 0.010 0.05

1 0.050 0.030 0.020 0.1

2 0.115 0.075 0.050 0.24

3 0.150 0.090 0.060 0.3

4 0.100 0.060 0.040 0.2

h(y) 0.325 0.27 0.18

E (x+Y) = E(X) +E(Y)

E(X)= ∑ xi g(x)i

= ( 0*0.05) + (1*0.1) + (2* 0.24) + (3*0.3) + (4*0.2)

= 0 + 0.1+ 0.48 + 0.9+0.8

=2.28

E(Y)= ∑yi h(y)

= (0* 0.325) + (1*0.27) + (2*0.18)

= 0 +0.27+ 0.36

= 0.63

E (x+Y) = E(X) +E(Y)

= 2.28 + 0.63

= 2.91

But the equation is 3x+ 10y

E(3x+ 10y)= 3E(x) + 10 E(y)

= 3(2.28) + 10 (0.63)

= 6.84 +6.3

= 13.14

Expected revenue from the single trip is $ 13.14

5 0

3 years ago

How many liters of pure water should be mixed with a 18-L solution of 80% acid to produce a mixture that is 90% water?

Sphinxa [80]

126 liters of pure water should be added

Solution:

Let "x" be the liters of pure water

Then, 18 + x is the liters of final solution

18 Liter solution of 80% acid, which means 100 - 80 = 20 % of water is used

Pure water is 100%

Then according to question, we can say,

"x" liters of pure water 100 % is mixed with a 18 liter solution of 20 % water to produce a mixture (18 + x) liter that is 90 % water

Thus we frame a equation as:

Equation:

water + water = water

$x \times 100\% + 18 \times 20 \% = (18+x) \times 90\%$

$x \times \frac{100}{100} + 18 \times \frac{20}{100} = (18+x) \times \frac{90}{100}\\\\Simplify\ the\ above\ equation\\\\x + 0.2 \times 18 = (18+x) \times 0.9\\\\x + 3.6 = 16.2 + 0.9x\\\\0.1x = 12.6\\\\Divide\ both\ sides\ of\ equation\ by\ 0.1\\\\x = 126$

Thus 126 liters of pure water should be added

8 0

3 years ago

What is the area of a rhombus with diagonals measuring 8.6 in and 15.3 in.

BigorU [14]

The area of the rhombus is 65.79

7 0

3 years ago

Ali cycles x km in 3 hours. If he maintains the same

RUDIKE [14]

Answer:

xy/180 km

Step-by-step explanation:

Mathematically, we have it that;

Speed = distance/ time

If he cycles x km in 3 hours

We know that ; 60 minutes = 1 hr

3 hours = 3 * 60 = 180 minutes

So the speed in km per minutes will be;

x km/180 minutes = x/180 km/minute

Recall,

Distance = speed * time

= x/180 * y = xy/180 km

5 0

3 years ago