Someone help me with number 2 please

Answer:

A) [tex]y=-\frac{1}{20}x+20[/tex]

B) 14 gallons of gasoline

A linear function that relates the amount of gasoline to the traveling distance is : y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

Given is a table shows the amount of gasoline [g] (in gallons) left in your tank after you travel [m] miles.

The given table is -

Miles [m]    Gallons [g]

  0                 20

 20                19

 40                18

 60                17

We can write the linear function as -

y = mx + c

We can write the slope as -

m = {(19 - 20)/(20 - 0)}

m = (- 1/20)

At [x] = 0, then [y] = 20. So, the equation will be -

y = (-1/20)x + 20

y = - (1/20)x + 20

At [x] = 120 miles -

y(120) = (-1/20 x 200) + 20

y(120) = - 10 + 20

y(120) = 10 gallons

Therefore, a linear function that relates the amount of gasoline to the traveling distance is - y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

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Answer:

thanks

Step-by-step explanation:

your welcome

Answer:

gfdsgfds

Step-by-step explanation:

fdgdsf

Answer:

1875L = 1.875x10^6 mL

multiply by density to get 2.14x10^6

multiply by percentage to get 6.63x10^4 g of NaCl (66.3 kg)

Step-by-step explanation:

Answer:

Greatest Common Factor of 40+24 is 8

Rewriting the expression using the distributive property we get             8(5+3) =8(5)+8(3)

Step-by-step explanation:

We need to F=find the greatest common factor of the two numbers 40+24 and rewrite the expression using the distributive property

The greatest number that is divisible by both numbers is known as greatest common factor.

So, Greatest Common Factor of 40+24 is 8

Now, Taking 8 common we get: 8(5+3)

It is written as: a(b+c) = ab+ac

So, we have 8(5+3) =8(5)+8(3)

Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)

Complete Question:

Complete the recursive formula of the arithmetic sequence 12, 10, 8, 6, ....

[tex]b_1 = [\ ][/tex]

[tex]b_n = b_{n - 1} + [\ ][/tex]

Answer:

[tex]b_1 = 12[/tex]

[tex]b_n = b_{n-1} - 2[/tex]

Step-by-step explanation:

Required

Complete:

[tex]b_1 = [\ ][/tex]

[tex]b_n = b_{n - 1} + [\ ][/tex]

From the question, the first term is 12.

So:

[tex]b_1 = 12[/tex]

Solving further:

[tex]b_2 = 10 = 12 - 2 = b_1 - 2[/tex]

[tex]b_3 = 8 = 10 - 2 = b_2 - 2[/tex]

[tex]b_4 = 6 = 8 - 2 = b_3 - 2[/tex]

Following the above sequence:

[tex]b_n[/tex] can then be calculated as

[tex]b_n = b_{n-1} - 2[/tex]

Answer:

B. 1,500’

Step-by-step explanation:

Given;

dimension of the rectangular house, = 35’ x 40’

The actual total linear footage of lumber needed = 35’ x 40’ = 1,400'

The rough estimate should be greater than the actual estimate in 100s;

rough estimate = 1,400' + 100' = 1,500'

Therefore, the rough estimate of the total linear footage of lumber needed is 1,500'.

Answer:

x + 5y ≤ 30

Step-by-step explanation:

Answer:

Step-by-step explanation:

these expressions are equivalent

4(2x+4)= 8x+16 after multiplying 4 with 2x+4

Answer:

yes

Step-by-step explanation:

Yes. If I substitute a number for x, the result is the same.

Answer:

The labor force participation rate and the employment-population ratio were both unchanged over the month, at 61.5 percent and 57.4 percent, respectively. These measures are up from their recent April lows but are lower than in February by 1.8 percentage points and 3.7 percentage points, respectively.Jan 8, 2021

www.bls.gov › pdf › empsitPDF

Unemployment - Bureau of Labor Statistics

Answer:

261763

Step-by-step explanation:

599*437

=261763

hope this helps. let me know if you can see what i have attached.

The box- plot is attached below.

Data points are represented as dots on a graph with an x- axis and y-axis in a dot plot, sometimes referred to as a strip plot or dot chart, which is a straightforward type of data visualisation. These kinds of graphs are employed to visually represent particular data trends or groupings.

Given:

1 2 2 3 3 4 4 4 4 5 5

5 5 6 6 6 6 7 7 8 8 8

Now, 1 Appears 1 time

2 Appears 2 time

3 Appears 2 time

4 Appears 4 time

5 Appears 4 time

6 Appears 4 time

7 Appears 2 time

8 Appears 3 time

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Answer:

2^6 * 3

Step-by-step explanation:

Answer:

2^6x3

Step-by-step explanation:

its 2 to the power of 6. Then multiply it by 3

Answer:

y=C-5x^2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

estimated would be 8 - 3

To solve the problem we must know about fractions.

A fraction is a way to describe a part of a whole. such as the fraction  [tex]\frac{1}{4}[/tex] can be described as 0.25

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator.

The solution to this problem is [tex]5\dfrac{13}{40}[/tex].

Given to us

[tex]8\frac{1}{5}-2\frac{7}{8}[/tex]

Converting the mixed fractions to fraction

[tex]8\dfrac{1}{5}-2\dfrac{7}{8}\\\\=\dfrac{(8 \times 5)+1}{5}-\dfrac{(8\times 2)+7}{8}\\\\=\dfrac{41}{5}-\dfrac{23}{8}\\\\[/tex]

Taking LCM,

[tex]=\dfrac{41\times 8}{5\times 8}-\dfrac{23\times 5}{8\times 5}\\\\=\dfrac{328}{40}-\dfrac{115}{40}\\\\=\dfrac{328-115}{40}\\\\=\dfrac{213}{40}[/tex]

Converting to Mixed Fractions,

[tex]=5\dfrac{13}{40}[/tex]

Hence, the solution to this problem is [tex]5\dfrac{13}{40}[/tex].

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Answer:

The requited interval is:

Step-by-step explanation:

We have to write two intervals in our case:

The first interval must highlight all real numbers less than or equal to 0.

Therefore,

This interval starts at -∞ and ends at 0, which is written as: (-∞, 0]

The second interval must highlight all real numbers greater than or equal to 0.

Therefore,

This interval starts at 0 and ends at ∞, which is written as: [0, ∞)

But, we have to combine these two sets. We can achieve this by placing the union symbol 'U' between the two intervals.

Therefore, the requited interval is:

Answer:

y = -3x + 8.3

Step-by-step explanation:

You need to rearrange 9x + 3y = 22 in the form y = mx +c.

9x+3y = 22

3y = -9x +22

y = -3x + 7.3

As long as the gradient is the same, the lines will be parallel. So you can give any number to the intercept (in this case I gave 8.3) and you will have parallel equations.

Answer: A linear function always has a rate of change.

Step-by-step explanation: In the first table, the function is linear since both the x and y values increases by a constant number. Each time the x value increases by 1, the y value increases by 5.

In the second table, the y value does not change by a constant number.

For example, the first time, the y value increases by 6, then it increased by 2, then by 4. This means the second table is non-linear since the rate of change isn't constant.

Answer:

Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59°, and the angle of depression from ship B to the submarine is 47°.

How far away is the submarine from the two ships? Round to the nearest hundredth of a foot.

The distance from ship A to the submarine is about

feet.

The distance from ship B to the submarine is about

feet.

Step-by-step explanation: answer this and ill answer yours.

Answer: Looks Proportional

Answer:

The first one is proportional but the second one is not proportional

Step-by-step explanation:

Hope this helps!

Answer:

The slope is -4

Step-by-step explanation:

Answer: -4

-4 is the slope because in the equation y=mx+b, m represents the slope.

hope this helps :)

Answer:

2(3y+2)(3y−2)

Step-by-step explanation:

Answer:

y=3/2x

Step-by-step explanation:

Slope is 3/2 and starts at the origin.

Answer:

9x

9 is the coefficient

Step-by-step explanation:

5x + 4x

These are like terms (they both have the same variable (x))

5x + 4x = 9x

The coefficient is 9, since it's the number in front of a variable.

Hope this helped!

- this is a proportion so you can cross multiply to find the answer.

162.5       25

--------- = ---------

x              54

162.5(54) = 25x

8775 = 25x

x = 351

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Answer:

B, all the numbers make the inequality true:).

Step-by-step explanation: