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strojnjashka [21]
2 years ago
7

What is the result when the number 90 is increased by 50%?

Mathematics
2 answers:
Kryger [21]2 years ago
7 0
135 think of if you had 90 dollars and you increased it by 50% you would then have $135
Arada [10]2 years ago
6 0
$135 because half of 90 is 45 so you add 45 to 90
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If f(x)=x-2 and g(x)=1/2x, find g(f(x))
Scilla [17]

Answer:

hello :

If f(x)=x-2 and g(x)=1/2x,

g(f(x)) = g ( x - 2 )

          = 1/2(x-2)

g(f(x)) = (1/2)x - 1



8 0
3 years ago
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A playground is constructed with the dimensions and shapes shown below
Alchen [17]

check the picture below.


so the playground is really just 3 rectangles and one triangle, now the triangle has a base of 8 and a height of 6.  We can simply get the area of each figure, sum them up and that's the area of the playground.


\bf \stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(8)(6)}~~+~~\stackrel{\textit{rectangle}}{(8\cdot 8)}~~+~~\stackrel{\textit{rectangle}}{(6\cdot 6)}~~+~~\stackrel{\textit{rectangle}}{(9\cdot 4)}
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24+64+36+36\implies 160

6 0
3 years ago
A jar has 570 marbles of different colors.The ratio of red to blue marbles are 2:3 and red to green is 4:5.how many marbles of e
iVinArrow [24]

Answer:

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

Step-by-step explanation:

Let x be the number of red marbles, y be the number of blue marbles and z be the number of green marbles.

It is given that the total marbles = 570.

Therefore, x + y + z = 570 --- (1)

It is also given that the ratio of red to blue marbles is 2 : 3.

Therefore, x : y = 2 : 3

or 3x = 2y --- (2)

It is also given that the ratio of red to green marbles is 4 : 5.

Therefore, x : z = 4 : 5

or 5x = 4z --- (3)

From (2), y=\frac{3x}{2}

From (3), z=\frac{5x}{4}

Substituting the above in (1), we get,

x+\frac{3x}{2} +\frac{5x}{4} =570

Multiply both sides by 4.

4x + 6x + 5x = 2280

15x = 2280

Divide both sides by 15.

x = 152

Hence,

y = \frac{3(152)}{2}

y = 228

z = \frac{5(152)}{4}

z = 190

Therefore,

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

<u>Check:</u>

Total number of marbles = 152 + 228 + 190 = 570

Ratio of red to blue marbles = 152 : 228 = 2 : 3

Ratio of red t green marbles = 152 : 190 = 4 : 5


8 0
3 years ago
Let f(x) = 8x3 − 28x + 61 and g(x) = 2x + 5. Find f of x over g of x.
antoniya [11.8K]

Answer:

4x^2-10x+11+\frac{6}{2x+5}

Step-by-step explanation:

The given functions are:

f(x)=8x^3-28x+61 and g(x)=2x+5

By algebraic properties of functions;

\frac{f(x)}{g(x)}=\frac{8x^3-28x+61}{2x+5}

We perform the long division of the two polynomials as shown in the attachment.

Therefore:

\frac{8x^3-28x+61}{2x+5}=4x^2-10x+11+\frac{6}{2x+5}

The last choice is correct

8 0
2 years ago
What’s the answer?? I need asap!
Softa [21]

Answer:

120°

Step-by-step explanation:

Opposite angles in a cross of 2 lines like this are equal;

A = 120 and B = D = 60°

8 0
2 years ago
Read 2 more answers
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