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miv72 [106K]
3 years ago
13

Given f(x)=3x+4. Determine the value of x if f(x)=21 to the nearest tenth.

Mathematics
1 answer:
ella [17]3 years ago
6 0

Answer:

5.7

Step-by-step explanation:

3x+4 = 21

3x = 17

x = 5.666667 = 5.7

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A community hall is in the shape of a cuboid the hall is 40m long 15m high and 3m wide. 10 litre paint covers 25m squared costs
Darina [25.2K]

Answer:

Total cost for tiles and paints is $924.  

Step-by-step explanation:

We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m high and 3m wide.

The paint will be required for 4 walls and ceiling.

Let us find area of walls and ceiling.

\text{Area of walls and ceiling}=(2*40*15)+(2*3*15)+(40*3)

\text{Area of walls and ceiling}=1200+90+120

\text{Area of walls and ceiling}=1410

Therefore, the area of walls and ceiling is 1410 square meters.

Given: Cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. Therefore,  

\text{ The total painting cost}=10*(\frac{1410}{25})

\text{ The total painting cost}=10*56.4=564

Therefore, the total painting cost is $564.  

Tiles will be required for floor. Let us find the area of floor.

\text{Area of floor} = 40*3\text{ square meters}

\text{Area of floor} =120\text{ square meters}

Given: 1m squared floor tiles costs $3. So,  

\text{Total cost for tiles} = 3*120 = 360

Therefore, the total tiles cost is $360.

Now let us find combined total cost of tiles and paint.

\text{Combined total cost}= 564+360 = 924

Therefore, the combined total cost of tiles and paint is $924.

6 0
3 years ago
Any help? Much appreciated ​
natulia [17]

Answer:

\frac{6+\sqrt{27} }{4-\sqrt{3} } = \frac{r+s\sqrt{3} }{13} \\We\ may\ multiply\ the\ numerator\ and\ denominator\ with\ (4+\sqrt{3} ).\\Hence,\\\frac{(6+\sqrt{27})(4+\sqrt{3})  }{13} =  \frac{r+s\sqrt{3} }{13} \\Hence,\\24+6\sqrt{3} +4\sqrt{27} +9= r+s\sqrt{3}\\24+6\sqrt{3} +4*3\sqrt{3} } +9= r+s\sqrt{3}\\24+6\sqrt{3} +12\sqrt{3}+9 = r+s\sqrt{3}\\33+18\sqrt{3} = r+s\sqrt{3}\\Hence,\\r=33, s=18

5 0
3 years ago
Find the measure of the exterior angle.​
Rama09 [41]

Step-by-step explanation:

measure of exterior angle = sum of 2 non adjacent angles

4X = 90 + X

3X = go

X=30

exterior angle = 30x 4 =120

8 0
3 years ago
Can anyone help me on the last question?
Novosadov [1.4K]

Answer:

<h2>           0.7</h2>

Step-by-step explanation:

A' is everything what is not A

So:

    A' = {9, 10, 11, 12, 13, 15, 16}

Number of ways it can happen: |A'| = 7

Total number of outcomes: |Ω| = 10

Probability of an event happening:

                                         \bold{P(A')=\dfrac{|A'|}{|\Omega|}=\dfrac7{10}=0.7}

8 0
3 years ago
JjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjHow do you divide decimals?
Maru [420]
Give me a decimal to divide n I will help u
4 0
2 years ago
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