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xz_007 [3.2K]
3 years ago
11

A. (1.34)(5.46) = (1.76)(x)

Mathematics
1 answer:
Alja [10]3 years ago
6 0
We are given an equation with an unknown variable x. We can find the value of x by dividing both sides by 1.76, as this will leave only x on the right hand side of the equation and its value on the left hand side, as shown below:

(1.34)(5.46)=1.76(x) \\  \\ 
 \frac{(1.34)(5.46)}{1.76} = \frac{1.76(x)}{1.76}  \\  \\ 
 \frac{(1.34)(5.46)}{1.76} =x \\  \\ 
4.16=x

Thus solving the given equation, we get x =4.16, rounded of to nearest hundredth. 
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Step-by-step explanation:

6 0
3 years ago
Find the recursive rule, explicit rule, and f(20)
DiKsa [7]

Answer:

Recursive:

f(1)=35, f(n)=f(n-1)+10

Explicit:

f(n)=35+10(n-1)

And the 20th term is 225.

Step-by-step explanation:

We have the sequence:

35, 45, 55, 65.

Notice that each subsequent term is 10 more than the previous term.

Therefore, our common difference is (+)10.

Recursive Rule:

The standard format for the recursive rule is:

f(n)=a, f(n)=f(n-1)+d

Where a is the initial term and d is the common difference.

From our sequence, we know that a the initial term is 35.

And as determined, our common difference d is 10.

Substitute. Hence, our recursive rule is:

f(1)=35, f(n)=f(n-1)+10

Explicit Rule:

The standard format for the explicit rule is:

f(n)=a+d(n-1)

Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:

f(n)=35+10(n-1)

Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:

f(20)=35+10(20-1)

Evaluate:

\begin{aligned} f(20)&=35+10(19) \\ f(20)&=35+190 \\ f(20)&=225 \end{aligned}

Hence, the 20th term is 225.

5 0
3 years ago
What is the value of y in the equation 4y – 2(1 – y) = –44?
Sergio039 [100]

Answer:

-7

Step-by-step explanation:

To find y, follow these steps:

4y - 2 (1 - y) = -44

First, distribute the -2 into the parenthesis:

4y - 2 + 2y = -44

The reason the 2y is positive is due to the fact that negative and negative cancel each other out and form a positive.

Now, combine like terms:

6y - 2 = -44

To get y, you need to isolate it from the constants. In order to do so, do the inverse relationship for the constant -2. To do this, add 2 to -44:

6y = -42

Now, divide six on both sides. You divide because six is currently being multiplied with y. Keep in mind that the 42 is still negative!

y = -7

Hope this helps!

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The answer is 1

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