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madreJ [45]
3 years ago
11

An art teacher has a jar containing b buttons to distribute to her class for a project. In order to give each in the class 6 but

tons, she will need 18 more buttons. If she gives each child 5 buttons, she will have 4 left over. How many children are in the class
Mathematics
1 answer:
Nastasia [14]3 years ago
4 0

Answer:

22

Step-by-step explanation:

Given:

An art teacher has the total number of buttons = b

1. In order to give each in the class 6 buttons, she will need 18 more buttons.

2. If she gives each child 5 buttons, she will have 4 left over.

Question asked:

How many children are in the class ?

Solution:

<u>Let total number of children in the class = </u>x

<u><em>As given that, 18 more buttons will be needed to give 6 buttons to each.</em></u>

The equation will be:-

b+18=6x\\b-6x=-18\ (equation\ 1)

<em><u>Also given that, If she gives 5 buttons to each, she will have 4 left over.</u></em>

The equation will be:-

b-5x=4\ (equation\ 2)

Subtraction equation 2 from 1

b-6x-(b-5x)=-18-4\\b-6x-b+5x=-22\\-6x+5x=-22\\-x=-22\\Minus\ canceled\ by\ minus\\x=22

Hence, total number of children are 22.

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gavmur [86]

Step-by-step explanation:

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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
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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).

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Need some help on this question please:(​
xxTIMURxx [149]

Answer:

B

Step-by-step explanation:

sorry if its wrong

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Answer:

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Step-by-step explanation:

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f(-2) = 2(4)^x = 2(4)^{-2} = \frac{1}{8}

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