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skad [1K]
3 years ago
13

If ​x​ and ​y​ are positive integers and the mean of 4, 20, and ​x​ is equal to the mean of ​y​ and 16, what is the smallest pos

sible value of ​x​ + ​y​?
Mathematics
1 answer:
Studentka2010 [4]3 years ago
8 0

Answer:

5

Step-by-step explanation:

(4+20+x)/3 = (y+16)/2

2(24+x) = 3(y+16)

48 + 2x = 3y + 48

2x = 3y

Since x and y are positive integers, they can't be 0. To satisfy 2x = 3y

We'll have to use LCM of 2 and 3, which is 6 (or a multiple of 6)

For the least value, we use 6

To make both sides 6,

x = 3 and y = 2

Hence x + y = 5

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Fill in the blank.<br> (5x)2<br> a0x2
Yuki888 [10]

Answer:a_0=25

Step-by-step explanation:

It is given that, (5x)^2=a_0x^2

We need to find the value of a_0

As (5x)^2=a_0x^2

Solving LHS

25x^2=a_0x^2

Now comparing the coefficients of x^2

In LHS the coefficient of x^2 is 25

In RHS the coefficient of x^2 is a_0

It implies that, a_0=25

So, the value of a_0 is 25.

5 0
3 years ago
A cereal box says that now it contains 20% more. Originally, it came with 20 ounces of cereal. How much cereal does the box come
Novosadov [1.4K]

Answer:24ounces

Step-by-step explanation:

Multiply 20 ounces by .20 (The percent) then add your answer to the 20 ounces.

6 0
2 years ago
What is the area of the figure below?
stepan [7]
The answer is,
= 22.5 × 2
= 90 in. squared
6 0
2 years ago
Read 2 more answers
Use the definition of logarithm to simplify each expression.
konstantin123 [22]
1)\ \ \ log 10 ^{10}=x\ \ \ \Leftrightarrow\ \ \ 10^x=10^{10}\ \ \ \Leftrightarrow\ \ \ \ \ \ x=10\\\\2) \ \ \ log 10 ^{100}=x\ \ \ \Leftrightarrow\ \ \ 10^x=10^{100}\ \ \ \Leftrightarrow\ \ \ x=100\\ \\ 3)\ \ \ log 10 ^ {10-4}=x\ \ \ \Leftrightarrow\ \ \ 10^x=10^{10-4}\ \ \ \Leftrightarrow\ \ \ x=6
7 0
3 years ago
Janae bought a new house. The house is quite large, 2500 square feet, and has a nice sized backyard. She bought the house on a f
Bond [772]

Solution :

Rephrasing is defined as to rewriting or expressing the idea or the content in an alternative way.

So rephrasing the question, we get :

Janae bought a new big size house of 2500 square feet with a large size backyard at $ 129,900. Janae wants fence her backyard so that her dog, Lyle can play on the backyard. Before fencing she wants to know the perimeter of the fencing or the size of the yard so that she could fence it. The measures of her yard is :

length : (x-7)

width : (x+2)

4 0
2 years ago
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