All categories

2 years ago

ABC Bookstore sells new books, n, for $12, and used books, u, for $8. The

Mathematics

1 answer:

Helen [10]2 years ago

6 0

Answer:

D.) $12n + $8u = 112 ;u = 4 + n

Step-by-step explanation:

Given that :

Cost per new books (n) = $12

Cost per used book (u) = $8

Total revenue earned = $112

store sold 4 more used books than new books

Hence,

Total revenue should be :

Revenue from new books + Revenue from used book = total revenue

Revenue from new books = $12 * n = $12n

Revenue from used books = $8 * n = $8n

$12n + $8u = 112

Number of books sold :

Number of used books sold = 4 + number of new books sold

u = 4 + n

You might be interested in

when you divide a whole number by a fraction with a numerator of 1, explain how you can find the quotient

Kobotan [32]

Something like 4//1/255 ?
just multiply The number you started with be the denominator of the fraction.

4 * 255 = 1020

The reason why is that though I didn't say so you are actually multiply both top and bottom by 255

4 * 255
==
1 * 255
--
255
The bottom 255s cancel. and you are left with 4 * 255 on the top.
Short cut you want. Short cut you get.
Thanks for posting.

3 0

2 years ago

Calculate the average rate of change for the graphed sequence from n = 1 to n = 3.

Strike441 [17]

A1 is the 1st term r is the difference, they can say "r" or "d" for the difference 1st a1 is the first term = -3 2nd "r" is the difference between each consecutive terms (coming after each other) = 1.5 the rule to get any term of the sequence as we add 1.5 each time is --> a1+(n-1)*d a1 --> 1st term , n --> order of the term u want whether 2nd, 3rd , 25th d --> difference so to get the 2nd--> -3+(2-1)*1.5= -1.5 to get the 3rd --> -3 +(3-1)*1.5 = 0 and so on

8 0

3 years ago

Read 2 more answers

Sterre charges $ 3 5 $35dollar sign, 35 to file tax returns, but files for free if she only needs the easiest form. Then she don

blagie [28]

Given:

$35 is charged per form, but $0 if only the easiest form is filed.
$2 donated for every single tax return filed (since it is not explicitly mentioned otherwise, I will assume she donates $2 whether she charges $35 or does it for free)
Total amount charged for the full year = $7245
Total amount donated for the full year = $1242

To Find: The number of forms for which Sterre charged $35 and the number of forms Sterre did it for free.

Concept:

We can make use of the Unitary Method here. Given the number of units in a group, the Unitary Method can be used to find the value of a single unit or and individual unit when we are given the value for a group.

So,

Value of Single Unit = Value of Entire Group of Units ÷ Number of Units in the Group

Explanation & Calculation:

We are given that Sterre charged $7245 for the full year. Taking each Unit as the $35 type of form, and value of each Unit would be the amount that Sterre charges per form which is obviously $35, we can find the number of $35 forms using the expression written above.

So, putting in the values into the expression,

$35 = $7245 ÷ number of $35 forms

Therefore, number of $35 forms = $7245 ÷ $35

Using simple division, number of $35 forms = 207

Next, we are given Sterre donated $1242 in the full year and she donates $2 for every form (whether it is the $35 form or the free form).

If this time, we define each Unit as being each form (both $35 form and free form), value of each unit we define as the $2 donation money, we see that the value of the full group of units is $1242.

So, putting the values into the expression,

$2 = $1242 ÷ total number of forms

Therefore, total number of forms = $1242 ÷ $2

Using simple division, total number of forms = 621

Conclusion:

Sterre has filed a total of 621 tax returns (both charged and for free).

Of these 621 returns filed, for 207 forms, Sterre charged $35.

The number of returns Sterre filed for free (that is, the easiest forms) is

Total number of forms - Chargeable forms = 621 - 207 = 414

Thus, Sterre filed 414 tax returns for free.

8 0

3 years ago

A company mixes two kinds of cleansers to get a blend they sell for 59 cents a liter. One of the cleansers costs 50 cents per li

Lilit [14]

Answer:

Cleanser that costs 50 cents is 1400 liters, Cleanser that costs 80 cents is 600 liters.

Step-by-step explanation:

We can solve this by using simultaneous equations:

Let us express the question in terms of equations

Let a be cleanser at 50 cents and let b be the cleanser at 80 cents.

Equation 1: 0.5a + 0.8b = 0.59(a+b)

Equation 2: a + b = 2000

From equation 2, a = 2000 - b (Let's call this equation 3)

2. Substituting equations 2 and 3 in Equation 1:

0.5a + 0.8b = 0.59(a+b)

0.5(2000 - b) + 0.8b = 0.59(2000)

1000 - 0.5b + 0.8b = 1180

0.3b = 180

b = 600

Substitute in equation 3:

a = 2000 - 600

a = 1400

As a note, I formed equation 1 because I know for a fact the cost per liter of a and b. I also know it is sold at 0.59 cents per liter. We are selling 2000 liters in this instance, therefore 0.59(2000) = 1180, which in this case is the selling price.

4 0

3 years ago

I need help with this please. f(x)=x+5 x=

aleksandrvk [35]

Answer:

X= - 5

Step-by-step explanation:

8 0

3 years ago