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Paraphin [41]
3 years ago
5

Simplify quantity 10 x squared minus 32 end quantity over 4 quantity 5 x squared minus 32 end quantity over 2, quantity 5 x squa

red minus 16 end quantity over 2, 10x − 8, x − 8
Mathematics
1 answer:
irina1246 [14]3 years ago
8 0

Answer:

Option B.

Step-by-step explanation:

The given expression is

\dfrac{10x^2-32}{4}

We need to find the simplified form of given expression.

Taking out GCF from the numerator.

\dfrac{2(5x^2-16)}{4}

Cancel out common factors.

\dfrac{5x^2-16}{2}

The expression \dfrac{5x^2-16}{2} is the simplified form of given expression.

Therefore, the correct option is B.

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The most recent census for a city indicated that there were 919,716 residents. The population of the city is expected to increas
OLEGan [10]

Answer:

1,474,951.

Step-by-step explanation:

Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years

Therefore, the population of the city in 13 years time will be:

P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951

The population be at that time will be approximately 1,474,951.

3 0
3 years ago
Pineapples cost $2.50 each and mangos cost $1.50 each. Tim purchased 15 pieces of fruit for $29.50. How many pineapples and how
kotykmax [81]
We can create equations to solve this.

2.50p + 1.50m = 29.50
p + m = 15

Solve for a variable in the 2nd equation and use the substitution method to solve.

p + m = 15

Subtract p to both sides:

m = -p + 15

Plug in -p + 15 for m in the first equation.

2.50p + 1.50(-p + 15) = 29.50

Distribute:

2.50p - 1.50p + 22.50 = 29.50

Combine like terms:

p + 22.50 = 29.50

Subtract 22.50 to both sides:

p = 7

Now plug this into any of the two equations and solve for the other variable.

p + m = 15

7 + m = 15

Subtract 7 to both sides:

m = 8

So he purchased 7 pineapples and 8 mangos.
4 0
3 years ago
a storage box can hold 810 cubic feet of sugar. If the box is 9 feet wide and 10 feet long, how deep is it?
IgorC [24]
The storage box is 9 feet deep. 
Hope this helps!
7 0
3 years ago
Find the length of side x in simplest radical form with rational denminator
just olya [345]

Answer:

As shown in picture, this is an isosceles right triangle ( A = 90 deg, B = C = 45 deg). => Except hypotenuse, side1 = side2, or x = \sqrt{6}

Hope this helps!

:)

4 0
3 years ago
WILL GIVE BRAINLIST
Otrada [13]

Answer:

I think it will be combined and simplified

5 0
3 years ago
Read 2 more answers
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