Your football team gained 4 yards on first down and 2 yards on second down during its last possession. Which number is the additive inverse of the yards gained?
A) −2
B) −6
C) 4
D) 6

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. Then  3/8 of the entire bag does she need.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

It is given that doreen needs 1/2 of the remaining 3/4 bag of flour to bake a cake. We need to find the fraction of the entire bag does she need.

When Some fraction of another fraction means a fraction is multiplied with the another fraction.

 1/2 of the remaining 3/4

one by two times of three by four.

1/2 × 3/4

While multiplying fractions, the numerators are multiplied and the denominators are multiplied.

So 1 and 2 are multiplied on numerator and 2 and 4 are multiplied on denominator.

1×3/2×4

3/8

Hence 3/8 of the entire bag does she need.

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The length of the rectangle is 12 yards and the width is 6 yards. The problem is solved with algebra using the formulas for the perimeter of a rectangle and given relation between the length and width.

This problem involves the use of algebra in solving geometrical problems. The question provides information about the perimeter and the relationship of length to width using algebraic expressions. To find the length and the width, we can use the formulas for the perimeter of a rectangle (P=2L + 2W) and the given width (W=2L-18).

Let L represent the length. Then, 2L+W=18 represents the width. Setting 2L + 2W equal to the given perimeter of 36, we get 2L + 2(2L - 18) = 36.

Solving this equation gives: L = 12, and substituting L=12 into W=2L - 18, we get: W=6. Hence, the length is 12 yards and the width is 6 yards.

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The expected age for one of the passengers on the train is 7.1 years. This can be explained by following steps:

Following are the calculation for the expected age given  

½ = 6 years old  

1/10 = 7 years old

1/5 = 8 years old  

1/5 = 9 years old

With the help of the above information, expected age can be calculated as follows:  

Expected age = ½*6+1/10*7+1/5*8+1/5*9

 = 6/2+7/10+8/5+9/5

 =3+0.7+1.6+1.8

 = 7.1

Therefore, the correct answer is 7.1 years old.

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Answer:

a). it is an Infinite Sequence.

b). This sequence is Geometric Progression.

c).  [tex]6th\,term\,of\,this\,GP\,=\,2a^6b^5[/tex]                              

Step-by-step explanation:

Given: A Sequence 2a , 2a²b , 2a³b² , [tex]2a^4b^3[/tex]

To find: a). Given Sequence is finite or infinite

             b). Pattern of the sequence

             c). Sixth term

a). Since, there is no detail about no. of terms of the sequence.

     Therefore, It implies it is an Infinite Sequence.

b). Given 1st term = 2a  ,  2nd term = 2a²b , 3rd term = 2a³b²

    First we find the difference of 1st and 2nd term

    d = 2a²b - 2a  ⇒  d = 2a (ab - 1)

    Now, Difference of 2nd and 3rd term,

    d = 2a³b² - 2a²b = 2a²b (ab - 1)

So, This Sequence is not a Arthematic Progression.

Now, we find the ratio of 2nd term to 1st term,

[tex]r\:=\:\frac{2a^2b}{2a}\,=\,ab[/tex]

Ratio of 3rd term to 2nd term,

[tex]r\:=\:\frac{2a^3b^2}{2a^2b}\,=\,ab[/tex]

Since, the ratio is common.

This sequence is Geometric Progression.

So, Pattern is next term of this sequence has 1 more in  power of a and b

⇒ [tex]nth\,term\,of\,this\,GP\,=\,2a^{n}b^{n-1}[/tex]

c). [tex]6th\,term\,of\,this\,GP\,=\,2a^{6}b^{6-1}[/tex]

    [tex]6th\,term\,of\,this\,GP\,=\,2a^6b^5[/tex]

Therfore, a). it is an Infinite Sequence.

               b). This sequence is Geometric Progression.

              c).  [tex]6th\,term\,of\,this\,GP\,=\,2a^6b^5[/tex]

Answer:

The length of the bigger piece is 17 meters

and the total length of the carpet is 29 meters.

Step-by-step explanation:

The length of the smaller piece is 5 meters greater than  the length of the larger piece.

i.e. Length of larger piece=Length of smaller piece+5

The length of the smaller piece is 12 meters.

So, Length of larger piece=12+5

                                          =17 meters

Total Length of carpet=Length of smaller piece + Length of larger piece

                                    = 12+17

                                    = 29 meters

Hence, the length of the bigger piece is 17 meters

and the total length of the carpet is 29 meters.

Answer:

C. ±5

Step-by-step explanation:

Answer:

+square root of 20

for sure i got it right on my test

Step-by-step explanation:

Answer:

decreasing linear

Step-by-step explanation:

When rounding 1,964,400 to the nearest hundred thousand, the answer is 1,900,000.

When rounding 1,964,400 to the nearest hundred thousand, we look at the digit in the hundred thousands place. If it is 5 or greater, we round up. If it is less than 5, we round down. In this case, the digit is 4, so we round down. Therefore, 1,964,400 rounded to the nearest hundred thousand is 1,900,000.

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Answer:

A

Step-by-step explanation:

The pair of equations that would correctly calculate their compound interests are:

Veronique's interest = A = 1000(1 + 0.05/1)⁷ - 1000 = 407.10

Lily's interest = 1800(1 + 0.09/1)⁷ - 1800 = 1,490.47.

Compound interest is computed as interest on the principle of an account plus any accrued interest.

Compound interest can be calculated using the following formula:

x = P (1+r/n)^(nt)

,where x = compound interest

P = principal (the initial deposit or loan amount)

r = annual interest rate

n = the number of compounding periods per unit of time

t = the number of time units the money is invested or borrowed for

For Veronique, we have:

A = 1000(1 + 0.05/1)⁷ = $1,407.10

For Lily, we have:

A = 1800(1 + 0.09/1)⁷ = $3290.47

To calculate the compound interest for each account, we subtract the principal amount from the final amount:

For Veronique:

Interest = A - P = $1,407.10 - $1,000 = $407.10

For Lily:

Interest = A - P = $3,290.47 - $1,800 = $1,490.47

Therefore, the pair of equations that would correctly calculate their compound interests are:

Veronique's interest = A = 1000(1 + 0.05/1)⁷ - 1000 = 407.10

Lily's interest = 1800(1 + 0.09/1)⁷ - 1800 = 1,490.47.

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To find an equation in point-slope form for a line parallel to y=1/2x-7 that passes through (-3,-2), we can use the fact that parallel lines have the same slope. The equation of the parallel line is y = (1/2)x + 5/2.

To find an equation in point-slope form for a line parallel to y = (1/2)x - 7 that passes through the point (-3, -2), we need to use the fact that parallel lines have the same slope.

The given line has a slope of 1/2, so the parallel line will also have a slope of 1/2.

Using the point-slope form y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope, we substitute the values to get the equation y - (-2) = (1/2)(x - (-3)). Simplifying this equation gives us the final answer: y = (1/2)x + 5/2.

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So, water decreases by 12 gallons EVERY minute.

How much water will decrease in 60 minutes?

[tex]12*60=720[/tex] gallons

So, the volume changes by 720 gallons in 60 minutes.

ANSWER: Volume decreases 720 gallons in 60 minutes.