How do I solve this math problem you and your friend are selling magazine subscriptions for a fundraiser. After w weeks , you have sold (7w = 6) subsriptions and your friend has sold ( 9w = 2) subscriptions. Whats the diffrence written in simple expression form?

Answers

Answer 1
Answer:

Answer:

The diffrence written in simple expression form is 40/63

Step-by-step explanation:

To solve for the difference normally you have to subtract your own subscription from that of your friends,

Let's perform this operation step wise

Now your subscription is

(7w = 6)

w=6/7

Your friends own is

( 9w = 2)

w=2/9

So the difference in simple form is

6/7-2/9

The LCM is 63 I.E 9*7=63

=54-14/63

=40/63


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if the perimeter of the rectangle is 96 feet, what are the length and width of the rectangular section?

Answers

Answer:

length is 39ft

width is 9ft

Step-by-step explanation:

let 6x - 15 be the length and x be the width

the perimeter of a rectangle is 2(L+W)

96 = 2(6x - 15 + x)

96 = 2(7x - 15)

96 = 14x - 30

126 = 14x

x = 9

Length is 6x - 15

6(9) - 15

54 - 15 = 39

What is the ordered pair is the vertex of y=-|x+4|

Answers

Answer: The vertex of the given function is (-4,0).

Step-by-step explanation:

Since, the standard form of an absolute function is,

y = a|x-h| + k

Where (h,k) is the vertex of the function,

Here, the given function is,

y = -|x+4|

⇒ y = (-1)|x-(-4)| + k

By comparing,

We get, a = -1, h = -4 and k= 0

Hence, the vertex of the given function is (-4,0).

vertex:\n\nx+4=0\to x=-4\n\nvertex\ is\ (-4;\ 0)\n\nlook\ at\ the\ picture

What percent of 17 is 20.4

Answers

If you would like to know what percent of 17 is 20.4, you can calculate this using the following steps:

x% of 17 is 20.4
x% * 17 = 20.4
x/100 * 17 = 20.4
x = 20.4 * 100 / 17
x = 120%

Result: 120% of 17 is 20.4.

20.4 is 120 percent (120%) of 17.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred.

So, in order to find the percent of a number we need to multiply it by the percent value and then divide it by hundred. That means if we need to find the x% of a number, we should multiply the number with x/100.

So,

17 × x/100 = 20.4

17x = 20.4 ×100

17x = 2040

Therefore,

x = 2040/17

x = 120

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Find two consecutive whole numbers that sqrt40 lies between

Answers

Answer:

To find two consecutive whole numbers between which √40 lies, we can calculate the square roots of consecutive whole numbers until we find the desired range.

Let's start by calculating the square roots of consecutive whole numbers:

√1 ≈ 1.00

√2 ≈ 1.41

√3 ≈ 1.73

√4 = 2.00

√5 ≈ 2.24

√6 ≈ 2.45

√7 ≈ 2.65

√8 ≈ 2.83

√9 = 3.00

√10 ≈ 3.16

√11 ≈ 3.32

√12 ≈ 3.46

√13 ≈ 3.61

√14 ≈ 3.74

√15 ≈ 3.87

√16 = 4.00

...

Continuing this process, we find that √40 lies between 6 and 7 because:

√36 = 6.00

√37 ≈ 6.08

√38 ≈ 6.16

√39 ≈ 6.24

√40 ≈ 6.32

√41 ≈ 6.40

√42 ≈ 6.48

...

Therefore, the two consecutive whole numbers between which √40 lies are 6 and 7.

Step-by-step explanation:

Can someone help me and let me know if my answer is correct?A large emerald with a mass of 764.3 grams was recently discovered in a mine. If the density of the emerald is 2.76grams over centimeters cubed, what is the volume? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.

276.92

Answers

The answer is 276.92

The density (D) of is quotient of mass (m) and volume (V):
D = (m)/(V)

It is given:
m = 764.3 g
D = 2.76 g/cm³
V = ?

Since:
D = (m)/(V)
⇒ V= (m)/(D)= (764.3g)/(2.76g/cm^(3) ) = 276.92 cm ^(3)

Therefore, the volume of the emerald is 276.92 cm² and your answer is correct.

Answer:

276.92 cubic cm.

Step-by-step explanation:

Given :

A large emerald with a mass of 764.3 grams was recently discovered in a mine.

The density of the emerald is 2.76gm/cm^3

To Find: what is the volume?

Solution:

Density =2.76gm/cm^3

Mass = 764.3 grams

Volume=(Mass)/(Density)

Volume=(764.3)/(2.76)

Volume=276.92

Hence the volume of large emerald is 276.92 cubic cm.

What is the difference of the polynomials?(–2x3y2 + 4x2y3 – 3xy4) – (6x4y – 5x2y3 – y5)

–6x4y – 2x3y2 + 9x2y3 – 3xy4 + y5
–6x4y – 2x3y2 – x2y3 – 3xy4 – y5
–6x4y + 3x3y2 + 4x2y3 – 3xy4 + y5
–6x4y – 7x3y2 + 4x2y3 – 3xy4 – y5

Answers

The difference of the polynomials given is  -2x³y² + 9x²y³ - 3xy⁴ - 6x⁴y + y⁵

Given are two polynomials are :

(-2x³y² + 4x²y3³ - 3xy⁴) and (6x⁴y - 5x²y³ - y⁵)

We need to subtract the polynomials and find the difference.

(-2x³y² + 4x²y3³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵)

By multiplying the signs into the brackets

= -2x³y² + 4x²y3³ - 3xy⁴ - 6x⁴y + 5x²y³ + y⁵

Grouping the like terms, we get

= -2x³y² + (4x²y3³ + 5x²y³) - 3xy⁴ - 6x⁴y + y⁵

= -2x³y² + 9x²y³ - 3xy⁴ - 6x⁴y + y⁵

Therefore, the difference between the polynomials is -2x³y² + 9x²y³ - 3xy⁴ - 6x⁴y + y⁵

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Answer:

A - -6x4y – 2x3y2 + 9x2y3 – 3xy4 + y5

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