Which is grater: 25% of 15 or 15% of 25? Explain your reasoning using algebraic representations or visual models

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

8 0

They are the same amount.

25% of 15 = 3.75.

15% of 25 is 3.75.

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Two trains, train A and train b Weigh a total of 354 tons. Train A is heavier than train b. The difference of their weights is 3

anastassius [24]

B=(354➖314) ➗2=20
A=20➕314=334

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2 years ago

Given a term and the common difference, find the explicit formula.<br> 8. a(19) = 135<br> d = 15

Rasek [7]

The explicit formula is a(n) = 15(n – 10)

<u>Solution:</u>

Given, a term a(19) = 135 and common difference d = 15

We have to find the explicit formula.

Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,

So, for a(19)

$\begin{array}{l}{\rightarrow a(19)=a+(19-1) 15} \\\\ {\rightarrow 135=a+18 \times 15} \\\\ {\rightarrow a=135-270} \\\\ {\rightarrow a=-135}\end{array}$

Now, we know that, an explicit formula is an expression for finding the nth term,

So, in our problem, expression for finding nth term is a + (n – 1)d

$\begin{array}{l}{\rightarrow-135+(n-1) 15} \\\\ {\rightarrow-135+15 n-15} \\\\ {\rightarrow 15 n-150} \\\\ {\rightarrow 15(n-10)}\end{array}$

Hence, the explicit formula is a(n) = 15(n – 10).

7 0

2 years ago

In the equation 2y=18, determine which property of equality will be used to isolate the variable. Choose the best answer. A. Mul

mixer [17]

Answer:

Step-by-step explanation:

Looking at the equation $2y=18$ , we see that if we want to isolate y, we need to divide it by 2 - because we're multiplying it by 2, and 2 times a number divided by 2 is just the number.