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irina1246 [14]
3 years ago
12

A sweater priced at $34.99 is on sale 25% off, find the cost with 7.5% sales tax.

Mathematics
1 answer:
Ymorist [56]3 years ago
7 0
25%=$8.74 7.5%=$2.62
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For an annual membership fee of $500,Mr.Bailey can join a country club that would allow him to play a round of golf for $35. Wit
IRISSAK [1]

Answer:

25 rounds

Step-by-step explanation:

Let

x -----> the number of rounds of golf

y ---> total charges to play

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope or unit rate

b is the y-intercept or initial value

<em>Membership</em>

y=35x+500 ----> equation A

The slope is  m=$35 per round

The y-intercept b=$500 (annual membership fee)

<em>Non-Membership</em>

y=55x ----> equation B

The slope is  m=$55 per round

The y-intercept b=$0

Equate equation A and equation B

55x=35x+500

solve for x

55x-35x=500

20x=500

x=25\ rounds

For x=25 rounds the cost to be the same with and without a membership

8 0
3 years ago
Read 2 more answers
Find the value of x in the equation x⁄ 4 + x⁄14 + x⁄17 = 71
Morgarella [4.7K]

Hello from MrBillDoesMath!

Answer:

33769/181

Discussion:

Each term contains "x" so factoring it out gives

x( 1/4 + 1/14 + 1/17)  = 71       (*)

Use common factor (17*14*4  = 952) as the denominator to combine terms:

1/4 =  (17*14)/ 952  = 238/952

1/14 = (17*4)/952 = 68/952

1/17 = (14*4)/952  = 56/952

so 1/4 + 1/14 + 1/17 =    (238 + 68 + 56)/ 952 =  362/952 = 181/476

Substituting in (*) gives

x ( 181/476)  = 71                       => multiply both sides by 476/181

x = (71 * 476)/181                       => 71* 476 =33769

x = 33769/181

Thank you,

MrB

4 0
3 years ago
There are 65 children in the sixth grade. The ratio of boys to girls 3 to 2. A) how many girls are in the grade?
Akimi4 [234]

Given that,

Total number of children = 65

The ratio of boys to girls is 3 :2.

To find,

The number of girls in the grade.

Solution,

Let there are 3x girls and 2x boys.

ATQ,

3x + 2x = 65

5x = 65

x = 13

So, no of girls = 3x

= 3(13)

= 39

Hence, there are 39 girls in the grade.

5 0
3 years ago
A video game club charges a fixed annual membership fee of $20 and $2 per video game rented. Let f(n) represent the total annual
Rasek [7]
<span>fixed annual membership fee of $20
</span><span>$2 per video game rented.
</span><span>Let f(n) represent the total annual cost of renting n video games
so
f(n) = 20 + 2n

if </span><span>increased by $15 the next year
then
f(n) = </span>20 + 2n + 15
f(n) = 2n + 35

answer
<span>f(n) = 2n + 35 (first choice)</span>
5 0
3 years ago
Which is the slope of the line that passes through the points (4,2) and (6,7)
Anastasy [175]
The slope is 5/2. You can find the slope by using y2-y1/x2-x1. 7-2/6-4= 5/2.
5 0
3 years ago
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