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finlep [7]
3 years ago
10

FIND THE VALUE OF X. 1. (5x - 2)° (3x + 4)

Mathematics
1 answer:
Archy [21]3 years ago
6 0

Answer:

If 5x-2 = 3x+4, then x=3

Step-by-step explanation:

5x-2=3x+4

Add 2 to both sides, and you get 5x=3x+6. Subtract 3x from both sides, and you get 2x=6. Divide both sides by 2, and what's left is x=3. Hope this helps. :)

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A cafeteria can feed 1/8 of the school in 3 1/2 minutes. How long does it take to feed the school?
77julia77 [94]

Answer:

28 minutes

3.5 x 8 = 28

Step-by-step explanation:

Feeding the whole school (8/8) would take 8 times as long as feeding 1/8 of the school.

3 1/2 can become 3.5 if that's easier for you to work with.

Feeding 1/8 of the school is 3.5 x 1 = 3.5

Feeding 2/8 of the school is 3.5 x 2 = 7

Feeding 8/8 of the school is 3.5 x 8 = 28

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6 0
3 years ago
Read 2 more answers
If the diameter of circle O is 20 and CE = 4, then determine the length of AB. Show how you arrived at your answer.
Aneli [31]

Answer:  Length of AB is 16 cm

Step-by-step explanation:

Given: Diameter of a circle is 20 cm and CE = 4 cm

Now as shown in figure AO, BO, CO are radii

\text { Radius } =\dfrac{\text {Diameter}}{2} = \dfrac{20}{2} = 10 cm

Therefore

AO=BO=CO= 10 cm

Now

OE = CO- CE  \Rightarrow OE= 10 -4 = 6 cm

Now in Δ OEB

∠OEB =90°

Therefore by Pythagoras theorem : In a right angle triangle the square of hypotenuse is equal to the sum of square of other two sides.

So we have

BO^2=BE^2+EO^2\\\\\Rightarrow 10^2= BE^2 +6^2\\\\\Rightarrow BE^2= 100-36\\\\\Rightarrow BE^2 = 64 \\\\\Rightarrow BE= 8 cm

Now as we know perpendicular to the chord from the center of a circle bisect the chord.

Therefore

AB= 2\times BE = 2\times 8=16 cm

Hence , the  length of AB is 16 cm .

8 0
3 years ago
Find the x-values for which f(x) = g(x)<br> if you know that f(x) = x2 and g(x) = 9.
Juli2301 [7.4K]

Answer:

For the values of x  = 3 and x = -3 the given functions f(x) = g(x)

Step-by-step explanation:

Here, the given functions are

f(x)  = x^{2} \\g(x) = 9

Now, given f(x)  = g(x)

⇒ x^{2}   = 9

or, x = \sqrt{9}   \implies x  = 3, -3

Hence, for the values of x  = 3 and x = -3 the given functions f(x) = g(x)

5 0
3 years ago
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