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Solving Real-World Problems involving Rational Numbers: Mast Submit Test
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20%, what is the change in
the area of the rectangle?
The change in the area of the rectangle is
square feet
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Answer:

p

Step-by-step explanation:

Answer:

-22x^8

Step-by-step explanation:

-8z^8 + (-14z^8)

z^8 = z^8

-8 - 14 = -22

-22z^8

Answer:

y=3/4x+1/4

Step-by-step explanation:

Perpendicular lines have slopes that are negative and reciprocal. If you multiply them together, the result is -1.

So, to find the slope of the new line, we can use this equation:

-4/3m=-1

multiply both sides by 3/-4

m=3/4

So the slope of the new line is 3/4

Here's the equation so far:

y=3/4x+b (b is a placeholder)

we can substitute the point (5,4) into the equation, since the line is going to pass through it.

4=3/4(5)+b

4=15/4+b

1/4=b

So the line is y=3/4x+1/4

Hope this helps!

Answer:

False

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The left of the number line is the domain of negative numbers. As you go left on the number line, the integers are smaller.

Answer:

45 plants

Step-by-step explanation:

Given that:

Length of bed = 120 in

Width of bed = 240 in

Perimeter of a rectangle is given by :

P = 2(length + Width)

Therefore,

P = 2(120 + 240)

Perimeter = 720 inches

If a spacing of 16 inches will be used ; number of plants needed ;

Perimeter / 16

= 720 in / 16 in

= 45

Answer: 5/6

Step-by-step explanation:

Answer:

I believe the answer is 1 1/6

Step-by-step explanation:

Here is how I got 1 1/6

4 1/3 - 3 1/2

4 - 3 = 1

1/3 - 1/2 = 2/6 - 3/6 = 1/6

Answer = 1 1/6

Answer:

I wouldn't advise putting answers from test on brainly its against the honor of code and you will get warned.

Step-by-step explanation:

Answer:

n = [tex]\frac{d-4m}{7}[/tex]

Step-by-step explanation:

Given

d = 4m + 7n ( subtract 4m from both sides )

d - 4m = 7n ( isolate n by dividing both sides by 7 )

[tex]\frac{d-4m}{7}[/tex] = n

Answer:

n = d - 4m ÷ 7

Step-by-step explanation:

d = 4m + 7n

d - 4m = 7n

7n = d - 4m

n = d - 4m ÷ 7

Thus, n = d - 4m ÷ 7

-TheUnknownScientist

Answer:

70 inches weighs 160

125-pound person is 66 inches tall

Step-by-step explanation:

24 = 31.4n + (-8.4) is the correct answer

Step-by-step explanation:

expression  31.4n -8.4 = 24 is the correct equation for the given sentence.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given,  twenty-four is the same as 31.4 times a number plus negative 8.4.

Let " n " be the number

From the given data expression will be,

31.4 times a number

=> 31.4 * n

plus negative 8.4

=> 31.4n -8.4

Equals to twenty-four

=>  31.4n -8.4 = 24

Therefore, expression  31.4n -8.4 = 24 is the correct equation for the given sentence.

Learn more about expression here:

https://brainly.com/question/23246712

#SPJ6

Answer:

22%

Step-by-step explanation:

$78.08 - $64 = $14.08

$14.08 * 100% / $64 = 22%

Answer:

C. the rate at the pool fills in feet per hour

Step-by-step explanation:

Given

The attached graph

Required

What does the slope represent?

The slope of any graph can be calculated using:

[tex]Slope = \frac{Rise}{Run}[/tex]

Where:

Rise = The change in the vertical axis

Run = The change in the horizontal axis within the same interval as the Rise

The vertical axis measures depth in feet and the horizontal axis measures time in hour.

So:

[tex]Slope = \frac{Depth}{Time}[/tex]

or

[tex]Slope = \frac{Feet}{Hour}[/tex]

This means that the slope measures rate in feet per hour

Answer:

where is the numberline miss

Answer:

you forgot the picture

:-(((

Step-by-step explanation:

Difference between measured vs actual

= 7ft - 6.33ft = 0.67ft.

Percent of error = (0.67ft/7ft) * 100% = 9.57%. (B)

Answer:

9.57%

Step-by-step explanation:

Answer:

[tex]L^{-1} (\frac{5s}{s^{2}+ 3 s -4 } )[/tex] =  [tex]4e^{-4t} + e^{t}[/tex]

Step-by-step explanation:

Step(i):-

Given

           [tex]L^{-1} (\frac{5s}{s^{2}+ 3 s -4 } )[/tex]

Factors of    s² + 3s - 4

               =    s² + 4s - s -4

               =   s( s +4 ) -1 (s +4)

               =   (s-1)(s+4)

  [tex]L^{-1} (\frac{5s}{s^{2}+ 3 s -4 } )[/tex]

              =    [tex]L^{-1} (\frac{5s}{s+4)(s-1) } )[/tex]

By using partial fractions

           [tex](\frac{s}{s+4)(s-1) } ) = \frac{A}{s+4} + \frac{B}{s-1}[/tex] ..(i)

                s  = A ( s-1) + B( s+4) ....(ii)

          Put s= 1  in equation (ii) , we get

             1 = B(5)

           [tex]B = \frac{1}{5}[/tex]

         s = -4 in equation (ii) , we get

        -4 = -5A

         [tex]A =\frac{4}{5}[/tex]

Step(ii):-

    now the equation (i) , we get

[tex](\frac{s}{s+4)(s-1) } ) = \frac{4}{5(s+4)} + \frac{1}{5(s-1)}[/tex]

[tex]L^{-1} (\frac{s}{s+4)(s-1) } ) = 5( L^{-1} \frac{4}{5(s+4)} + 5L^{-1} \frac{1}{5(s-1)}[/tex]                      

By using inverse Laplace transform formula

[tex]L^{-1} (\frac{1}{s-a} ) = e^{at}[/tex]

[tex]L^{-1} (\frac{1}{s-1} ) = e^{t}[/tex]

[tex]L^{-1} (\frac{1}{s+4} ) = e^{-4t}[/tex]

[tex]L^{-1} (\frac{s}{s+4)(s-1) } ) = 5( L^{-1} \frac{4}{5(s+4)} + 5L^{-1} \frac{1}{5(s-1)}[/tex]                    

                      = [tex]4e^{-4t} + e^{t}[/tex]

Answer:

B

Step-by-step explanation:

Set the equation by adding 34 to each side

Use the quadratic formula:  x = -b± [tex]\sqrt{b^2-4ac} \\[/tex] over 2*a

1 =a

-10 = b

34 =c

Insert these values into the quadratic formula

Answer:

No

Step-by-step explanation:

No. I am not helping because you spam random "answers" to gain points for your account. If you want to be taken seriously, take everyone else seriously.

9514 1404 393

Answer:

  10.  x = 4

  11.  x = -5

Step-by-step explanation:

10. Use the perimeter formula. Collect terms, subtract* the constant, divide by the coefficient of the variable.

  P = 2(L+W)

  42 = 2(5x +(x-3))

  21 = 6x -3 . . . . . . divide by 2, collect terms

  24 = 6x . . . . . . . . add 3

  4 = x . . . . . . . . . .  divide by 6

__

11. Collect terms, subtract the constant, divide by the coefficient of the variable.

  -8x -3(2x +1) = 67

  -8x -6x -3 = 67 . . eliminate parentheses

  -14x -3 = 67 . . . . . collect terms

  -14x = 70 . . . . . . . add 3

  x = -5 . . . . . . . . . . divide by -14

_____

* "Subtract" and "add the opposite" are the same mathematical operation. In both these problems, the constant we want to get rid of is -3, so we add 3 (the opposite of -3). Of course, that operation is done to both sides of the equation.

Answer:

Line A

Step-by-step explanation:

Line A crosses 5 at y when it hits 1 at x, meaning that constant of proportionality is 5. Trust me ; D.

Answer:

57°

Step-by-step explanation:

[tex] \theta = {sin}^{ - 1} \bigg( \frac{36}{43} \bigg) \\ \\ \theta = 56.846591584 \degree\\ \\ \theta \approx 57 \degree\\ \\ [/tex]

Step-by-step explanation:

So what you need to do is is how fast they traveled every ten miles once you do that take how fast they traveled every ten miles and multiply it by 9.

So it seems to me that 1 day for most people they walked 10 miles. So if it takes 7 days for them to get there you need to do 90 divided by 7 which will get you your answer.

I hope this helped you understand better!

Answer:  11 3/7 miles per day, and it will take them 7.875 days to go 90 miles

Answer:

37

Step-by-step explanation:

because you are basically adding -13 to 50 because the minus and the -50 cancel eachother out

Answer:

341.95≤x≤358.95

Step-by-step explanation:

The confidence interval formula is expressed as;

CI = xbar±(z×s/√n)

xbar is the mean sample

s is the standard deviation

z is the z score at 95% confidence interval

n is the sample size

xbar = 350kg

z = 1.96

s = 25kg

n = 30

Substitute

CI = 350±(1.96×25/√30)

CI = 350±(1.96×4.564)

CI = 350±(8.946)

CI = (350-8.946, 350+8.946)

CI = (341.05, 358.95)

Hence the 95% confidence interval for how much food the elephant eats us 341.95≤x≤358.95

Answer:

Option C (4096π in²)

Step-by-step explanation:

Area of the circle = 256π in²

We know that [tex]Area=\pi r^{2}[/tex] , where r = radius of the circle

So,

[tex]256\pi = \pi r^{2}[/tex]

Cancelling π from both the sides,

[tex]=> r^{2} = 256[/tex]

[tex]=> r = \sqrt{256} = 16[/tex]

The radius of the circle = 16 in.

When the radius is multiplied with 4 , new radius = 16×4 = 64 in.

New Area = [tex]\pi (64)^{2} =4096\pi \: in^{2}[/tex]

Answer: C

Step-by-step explanation:

Answer:

answers in this order

5

4

3

2

1

6

Step-by-step explanation:

i kno that the way these numbers are are kinda sus but this is correct

hope this helps <3

[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct .}}}[/tex]

Given that , Paul needs 27 plants to fill his garden and has $99 to spend. Lilies cost $5 each and tulips cost $2 each.

Now we need to find which set of linear equations represent the above situation. So ,

Sum of number of lilies and tulips is 27 .

[tex]\implies \bf n( Tulips) + n(Lilies ) = 27 \\\\\bf\implies \boxed{ \bf l + t = 27 }[/tex]

Now , cost of each lily is $5 and tulip is $2 . And he has $99 in total . So ,

[tex]\bf\implies n_{tulips} \times cost_{tulip} + n_{lilies} \times cost_{lilies} = Money \ that \ Paul \ has. \\\\\bf \implies t\times \$2 + l \times \$5 = \$ 99 \\\\\implies \boxed{\bf 2t + 5l =\$ 99 }[/tex]

Hence we can see that our ans matches with option (a) which is ,

[tex]\red{\bf Option \ A}\begin{cases} \bf l + t = 27 \\\\\bf 2t + 5l = 99 \end{cases}[/tex]