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lina2011 [118]
3 years ago
11

Simplify the expressions by combining like terms 1.5r - 3r + 8r + 2.5r

Mathematics
1 answer:
Tomtit [17]3 years ago
5 0

Answer:

9r

Step-by-step explanation:

1.5r - 3r + 10.5r

10.5r + 1.5r = 12r

12r - 3r = 9r

Final Answer = 9r

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a carpenter has been asked to build an open box with a sqaure base. the sides of the box will cost $3 per m^2 and the base will
slamgirl [31]
<h2>Dimension of box is 2 m x 2 m x 1.33 m</h2>

Step-by-step explanation:

Let a be base side and h be the height.

Volume of box, V = a²h

The sides of the box will cost $3 per m² and the base will cost $4 per m². Cost for making is $48.

That is

                 4a² + 3 x 4 x a x h = 48

                 4a² + 12 a x h = 48

                 a² + 3 ah = 12  

                 h=\frac{12-a^2}{3a}

So volume is

                    V=a^2\times \frac{12-a^2}{3a}=4a-\frac{a^3}{3}

At maximum volume we have derivative is zero,

                    dV=4da-3\times \frac{a^2}{3}da\\\\0=4-a^2\\\\a=\pm 2

Negative side is not possible, hence side of square base is 2m.

Substituting in  a² + 3 ah = 12  

                           2² + 3 x  2 x h = 12  

                             h = 1.33 m

Dimension of box is 2 m x 2 m x 1.33 m

5 0
3 years ago
Which tribe belonged to the Iroquoian language group? A. Seminole B. Pequot C. Massachusett D. Cherokee E. Powhatan
mel-nik [20]
The answer would be A because Seminole just works
3 0
3 years ago
Read 2 more answers
A fruit stand has to decide what to charge for their produce. They need \$10$10 for 44 apples and 44 oranges. They also need \$1
KatRina [158]

Answer:

<em>We can't find a unique price for an apple and an orange.</em>

Step-by-step explanation:

Suppose, the price of an apple is x and the price of an orange is y

They need $10 for 4 apples and 4 oranges. So, the first equation will be.......

4x+4y=10 ........................................(1)

They also need $15 for 6 apples and 6 oranges. So, the second equation will be........

6x+6y= 15 ........................................(2)

Dividing equation (1) by 2 on both sides :  2x+2y= 5

Dividing equation (2) by 3 on both sides :  2x+2y=5

So, we can see that both equation (1) and (2) are actually same. That means, we will not get any unique solution for x and y here. Both x and y have <u>"infinitely many solutions"</u>.

Thus, we can't find a unique price for an apple and an orange.

4 0
3 years ago
Parallelogram ABCD is a rectangle. if AB = 12.5 units and AD = 2.5 units, what is the area of ABCD
mylen [45]
Given => ABCD is a rectangle.
Where AB(length) = 12.5 units
AD(breadth) = 2.5 units

Area of rectangle = length × breadth

= 12.5 × 2.5

= 31.25 unit²

Hope this helps!
4 0
3 years ago
Read 2 more answers
Solve by the quadratic formula x^2 = 6x-4
tresset_1 [31]

Answer:

x=3+√5 or x=3−√5

Step-by-step explanation:

6 0
3 years ago
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