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3 years ago

The sum of 6 times a number and 3 is 2

Mathematics

1 answer:

Harrizon [31]3 years ago

5 0

Answer:

-1/6

Step-by-step explanation:

I put it into an equation. The periods are a result of autocorrect.

6x+3=2

-3. -3

________

6x= -1

--- ---

6. 6

X = -1/6

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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.

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3 years ago

!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?

Ivanshal [37]

Answer:

a = a

b = b

c = c

Step-by-step explanation:

Formula: $a^2+b^2=c^2$

C is always the largest number

a times a + b times b = c times c

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3 years ago

The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps. At this rate, how many times will she not fall i

Inessa05 [86]

Answer:

Rhonda will not fall 264 times in 360 jumps.

Solution:

Given, The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps.

We have to find At this rate, how many times will she not fall in 360 jumps.

Now,

For 15 jumps → 4 falls

For 360 jumps → n falls

Now apply Chris cross method,

$15 \times n=360 \times 4 \rightarrow n=\frac{360 \times 4}{15}=24 \times 4=96$

So, she falls 96 times in 360 jumps.

Then, number of times she will not fall = 360 jumps – 96 falls = 264 times.

Hence, Rhonda will not fall 264 times in 360 jumps.

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3 years ago

If the volume of the solid shown in the figure is 438 cubic inches, find the value of x.

svetoff [14.1K]

Answer:

what

Step-by-step explanation:

what figure

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1 year ago

There are 18 girls in a basketball team. If the starting lineup consists of 5 players, then how many possible starting lineups a

vichka [17]

The answer would be 90 line ups

This is because 18 x 5 = 90

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3 years ago

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