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inessss [21]
3 years ago
13

Given that 110ₓ = 40₅ , find the value of x.

Mathematics
1 answer:
yulyashka [42]3 years ago
5 0

110x=405

1*x^2 +1*x^1 +0*x^0=4*5^1+0*5^0

x^2+x=4*5

x^2+x=20

x^2+x-20=0

x^2 +5x-4x-20=0

x(x+5)-4(x+5)=20

(x-4)(x+5)=20

x= 4 or -5

But a base cannot be negative so

x=4

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Which product is greatest? (-9)*(-3) or (-7)*(-2)? explain
marishachu [46]

Answer:

-9 x -3

Step-by-step explanation:

-7 x -2 will give +14.

-9 x -3 will give +27

+27 is greater than +14.

Two negative numbers multiplied will give a positive answer. (Always)

5 0
3 years ago
Nick went bike ride to the store 5 miles away.If it took nick 1/2 of an hour to get there and 2/5 to get back,what was his avera
pav-90 [236]

Answer:

11.1m/s

Step-by-step explanation:

Given parameters:

Distance of store  = 5miles

Time to store = \frac{1}{2}hr

Time from store  = \frac{2}{5}hr

Unknown:

Average speed  = ?

Solution:

Average speed is the total distance divided by the total time taken.

   Average speed  = \frac{total distance}{total time taken}  

Total distance  = distance to store + distance from store  = 5 + 5 = 10miles

Total time taken  =  \frac{1}{2}hr +  \frac{2}{5}hr = \frac{9}{10}hr

Average speed  = \frac{10}{\frac{9}{10} }   = 10 x \frac{10}{9}   = 11.1m/s

5 0
3 years ago
Beth is purchasing chocolate and vanilla ice cream cups for a birthday party. She needs a total of 24 ice cream cups and twice a
frez [133]
constraint 1
 let
 x = number of cups of chocolate
 y = number of cups of vanilla
 The equation that represents the total number of ice cream is:
 x + y = 24
 constraint 2
 the ratio of the number of chocolate cups to vanilla cups is
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 Using equations 1 and 2, you can find the number of cups of each favor required.
 answer:
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6 0
3 years ago
Is number 19 correct
olganol [36]
Yes it is. Hope it helps.:)
8 0
3 years ago
Read 2 more answers
Let f(x) = 3x +2 and g(x) = 7x + 6. Find f • g and its domain.
Alekssandra [29.7K]
The value of f·g is the product of f(x) and g(x). This is shown below,
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The domain of the function is the value of x that would make the function reasonable. The domain is all real numbers. 
3 0
3 years ago
Read 2 more answers
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