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sweet-ann [11.9K]

2 years ago

7

Formulate Alisha has a number in mind. If she adds three to her number the result is less than five. Use this information to wri

te and solve an inequality about Alisha's number. Then graph the solution set.

1 answer:

inessss [21]2 years ago

3 0

The inequality would be x (Alisha’s number)+ 3 > 5. The set can be graphed open circle on 5 with a line going down all the way through negatives.

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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

Nastasia [14]

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.

4 0

2 years ago

Justin is considering two websites for downloading music.The costs are detailed here.

solniwko [45]

Answer:

Website 1: Y=1.5x+30

Website 2: Y=2x

Step-by-step explanation:

Website 1 has upfront cost of $30.

The cost of download will be $1.5 per download

Total cost will be 1.5X+30

Where in for Website 2, it will be multiplied by $2

so Y=2X

3 0

3 years ago

Kelly price sells college textbooks on commission. She gets 8 % on the first $7500 of sales, 16% on the next $7500 of sales, a

Solnce55 [7]

Answer:

The commission would be $ 920.

Step-by-step explanation:

Given,

Sales in 1997 = $ 9500,

Since, there is a commision of 8 % on the first $ 7500 of sales, 16% on the next $ 7500 of sales, and 20% on sales over $ 15,000,

If x represents the total sales,

Commission for x ≤ 7500 = 8% of x = 0.08x,

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of (x-7500)

= 600 + 0.16(x-7500),

Commission for 7500 < x ≤ 15000 = 8% of 7500 + 16% of 7500 + 20% of (x-15000)

= 600 + 1200 + 0.20(x-15000)

= 1800 + 0.20(x-15000)

Thus, the function that shows the given situation,

$f(x)=\left\{\begin{matrix}0.08x & x \leq 7500\\ 600+0.16(x-7500) & 7500 < x \leq 15000\\ 1800+0.20(x-15000) & 15000 < x\end{matrix}\right.$

Since, 9500 lies between 7500 and 15000,

Therefore, the commission would be,

f(9500)= 600 + 0.16(9500 - 7500) = 600 + 320 = $ 920

7 0

2 years ago

I’m unsure how to solve this... help?

dem82 [27]

Time taken is equal to distance divided by speed
So time is 50/5 = 10 seconds

5 0

3 years ago

Read 2 more answers

The circumference of a circle is 12 pi what is the diameter

Zolol [24]

Answer:

Step-by-step explanation:

Givens

C = 12 * pi

C = 2*pi * r

Solution

2*pi * r = 12*pi Divide both sides by 2pi

2*pi * r/ 2*pi = 12*pi/2pi

r = 6

Answer: the diameter = 2 * r

the diameter = 12

5 0

2 years ago