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kupik [55]
3 years ago
13

The price of an item has been reduced by 45%. The original price was $31.

Mathematics
1 answer:
Andreas93 [3]3 years ago
7 0

Answer:

56.4

Step-by-step explanation:

If the initial price is reduced by 45% means it is the 55% of the initial price (45+55=100)

0.55x = 31 \\ x =  \frac{31}{0.55}  = 56.36

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The first two terms of an arithmetic sequence are 7 and 4. Find the 7th term.
kobusy [5.1K]

EXPLANATION

If the first two terms of an arithmetic sequence are 7 and 4, then we know that an arithmetic sequence has a constant difference d and is defined by

a_n=a_1+(n+1)d

Check wheter the difference is constant:

Compute the differences of all the adjacent terms:

d=a_{n+1}-a_n

Replacing terms:

4-7 = -3

The difference between all of the adjacent terms is the same and equal to

d = -3

The first element of the sequence is

a_1=7a_n=a_1+(n+1)d

Therefore, the nth term is computed by

d= -3

a_n=7+\text{ (n-1)}\cdot(-3)

Refine

d= -3 ,

a_n=-3n+10

Now, replacing n=7

a_7=-3\cdot7+10\text{ = -11}

So, the answer is -11.

8 0
1 year ago
Find the midpoint between each pair of point<br> 15. (-1,-5) and (-5, 7)<br> 16. (5,-2) and (-4, 2)
n200080 [17]

Answer:

Midpoint of (-1,-5) and (-5,7) is (-3,1)

Midpoint of (5,-2) and (-4,2) is (0.5,0)

Step-by-step explanation:

Use the midpoint formula

4 0
3 years ago
A. How many students ride in a car, tricycle and the motorcycle in going<br>to school?​
brilliants [131]
Um there’s no question here lol so free points?
3 0
3 years ago
The graph of f(x)=ax^2 is narrower than the graph of g(x)=dx^2 when a&lt;d
Lynna [10]

Answer:

Step-by-step explanation:

as given in question that a > 0 so

if we put a=1

we get g(x) = f(x)

now put a =2

we get

g(x) = 2 f(x)

here we can see that g(x) would always be greater than or equals to f(x)

so we can say that the graph of g(x) will never be narrower than graph of g(x)

4 0
3 years ago
Translate the following into algebraic expressions: The first class has a kids in it, the second has b kids in it, and the third
Studentka2010 [4]

Answer:

(a + b + c)/2

Step-by-step explanation:

Number of kids in first class: a

Number of kids in second class: b

Number of kids in third class: c

The total number of kids in all classes is: a + b + c

The total number of kids is divided equally between 2 buses:

(a + b + c)/2

4 0
3 years ago
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