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Answer:

a. 49

b. 1

c. x^2+10x+25

Step-by-step explanation:

Symply substitute the values (5, -3, x+3) in the equation (x+2)^2

Answer:

Step-by-step explanation:

Answer:

2(3x + 6)

Step-by-step explanation:

[tex]c = k {d}^{2} + e \\ = > c - e = k {d}^{2} \\ = > {d}^{2} = \frac{c - e}{k} \\ = > d = \sqrt{ \frac{c - e}{k} } [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

At 1:40 pm you will reach the market.

Step-by-step explanation:

Distance (d) = 11 km

Average speed (v) = 3 km/h

Formula:

[tex] \rm Average \: speed = \dfrac{Distance}{Time} \\ \\ \rm 3 = \dfrac{11}{t} \\ \\ \rm t = \dfrac{11}{3} \\ \\ \rm t = 3 \frac{2}{3} \\ \\ \rm t = 3 hr \: 40min[/tex]

It will take 3 hours 40 minutes to reach the market.

So, if you set off for the market at 10 am you will reach market by 1:40 pm (10 am + 3hr 40min).

Answer:

14%

Step-by-step explanation:

Find the quotient of 29 and 200.

[tex]\frac{28}{200}=0.14[/tex]

Therefore, 28 is 14% of 200.

The number 28 is 14% of the number 200.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the number is 200 and 28 is what percent of 200 will be calculated as:-

The percentage will be calculated as:-

200 x (X)% = 28

X% = ( 28 x 100) / 200

X% = 14%

Therefore, the number 28 is 14% of the number 200.

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Answer:

bc=10

Step-by-step explanation:

12/bc=18/(33-18)

12/bc=18/15

18bc=12*15

18bc=180

bc=180/18

bc=10

Answer:

this doesn't make sense

Step-by-step explanation:

The cost function of the rectangular yard is 114x + 57y = 1500

Let x represent the length of the rectangular yard and y represent the width of the rectangular yard.

Since you need to fence only 3 sides, hence:

2x + y = Perimeter

Each foot cost $57 per foot and there is $1500 to spend, hence:

2x(57) + y(57) = 1500

114x + 57y = 1500

y = (1500 - 114x) / 57

The area (A) of the rectangular yard is:

A = x * y

A = xy

A = x[(1500 - 114x) / 57)

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Answer:

310-200= T

Step-by-step explanation:

310 = 200 + x

Let’s break this down. 310 is their total earning, 200 is our set price for performing, and x represents how much she earned in tips.

310 = 200 + x

110 = x

Hope this helps!

Answer:

This reservoir, will store drinking water for the town. Which of the following could cause contamination of the water and lead to human health-related problems and loss of native species? ... Air pollution can affect human health and the health of other living things.

Step-by-step explanation:

Step-by-step explanation:

that is the same as the volume of a cylinder :

pi×r²×height = pi×4²×4 = pi×64 = 201.0619298... in³

≈ 201 in³

Volume is a three-dimensional scalar quantity. The volume of the tube is 201.0619 inches³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of a cylinder is given by the formula as shown below,

Volume of a cylinder = πr²h

where r is the radius of the cylinder while h is the height of the cylinder.

Given that a tube has a radius of 4 inches and a height of 4 inches. Therefore, the volume of the tube will be,

The volume of the tube = π × R² × h

                                       = π × (4 inches)² × (4 inches)

                                       = 64π inches³

                                       = 201.0619 inches³

Hence, the volume of the tube is 201.0619 inches³.

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Step-by-step explanation:

19. 4x² - 13x + 3

4x² - 1x - 12x + 3

x(4x - 1) -3(4x - 1)

x-3 4x-1

Answer:

2a - 5b = 1

3a + 5b = 14

Let's solve this system using elimination. Add the equations together to cancel the b-terms, then solve for a.

   2a - 5b = 1

  3a + 5b = 14

+___________

   5a - 0 = 15

        5a = 15

          a = 3

Next, plug 3 for a into either of the equations and solve for b.

 2a - 5b = 1

2(3) - 5b = 1

   6 - 5b = 1

      - 5b = -5

          b = 1

Lastly, check all work by plugging both values for their respective variables.

    2a - 5b = 1

2(3) - 5(1) = 1

        6 - 5 = 1  --  This is true

    3a + 5b = 14

3(3) + 5(1) = 14

        9 + 5 = 14  --  This is true

The solution to the system of equations is (3, 1).

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

[tex]f(x)\longrightarrow-\infty[/tex], as [tex]x\longrightarrow+\infty[/tex]

Step-by-step explanation:

We can see that the larger the input, the smaller the output

The percentage increase are applied to the number of male and female

from the previous period.

Reasons:

Let F represent the initial number of females and let M represent the initial number of males before 1984.

We have;

In 1984

Number of females = F × 1.026 = 1.026·F

number of males = M × 1.031 = 1.031·M

In 1994

Number of females = 1.026·F × 1.032 = 1.058832·F

Number of males = 1.031·M × 1.032 = 1.063992·M

In 2004

Number of females = 1.058832·F × 1.056 = 1.118126592·F

Number of males = 1.063992·M × 1.049 = 1.116127608·M

In 2014

Number of females = 1.118126592·F × 1.066 = 1.191922947072·F

Number of males = 1.116127608·M × 1.059 = 1.181979136872·M

Therefore, between 1984 and 2014, we have;

The percentage increase of females = 1.191922947072 × 100 - 100 ≈  19.2%

The percentage increase of males = 1.181979136872 × 100 - 100 ≈ 18.2%

Therefore;

The percentage increase of the females is more than the males by (1.191922947072 × 100 - 100) - (1.181979136872 × 100 - 100) ≈ 0.994%

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Answer 84 miles

Step-by-step explanation:

2hrs= 120min

7 miles/ 10 min = x miles/ 120 min

x = 84 miles

Answer:

Step-by-step explanation:

We assume you're interested in the convex polygon, so the given vertices are not listed in order around the figure.

The figure is 12 units by 16 units, so has a perimeter of ...

  P = 2(L +W)

  P = 2(16 +12) = 56 . . . . units

and an area of ...

  A = LW

  A = (16)(12) = 192 . . . . square units

1470.27

v = pi r^2 (H)

v = 3.14 (6^2) (13)

v = 3.14 (36) (13)

v = 1470.27 (about)

Answer:

V = 1470

Step-by-step explanation:

V = πr²h

V = (3.14)(6²)(13)

V = (3.14)(36)(13)

V = 1469.52

Answer:

[tex]\huge\boxed{x=-4}[/tex]

Step-by-step explanation:

[tex]3(x+9)-4x=11x-13x+23\\\\(3)(x)+(3)(9)-4x=(11x-13x)+23\\\\3x+27-4x=-2x+23\\\\(3x-4x)+27=-2x+23\\\\-x+27=-2x+23\qquad|\text{subtrsact 27 from both sides}\\\\-x=-2x-4\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x=-4[/tex]

Answer:

d

Step-by-step explanation:

Answer:

$25.08

Step-by-step explanation:

$48 to which you apply the 50%

48/2= $24

then you add the sales tax:

24+4.5%= 25.08

Answer:    The ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.

Step-by-step explanation: Given that the manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.

Then, the ratio value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.

Given that the manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.

Then, the ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.

Given that the manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.

Then, the ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.

Answer:

A 1.5

B -1/3

C -4/3

Step-by-step explanation:

I solved this by remembering...

numbers above 0 are positive

-1/3 is greater than -1

-4/3 means -1 AND 1/3 so this is less than -1

A = 1.5 (+ve value, upwards)

B = -1/3 (-ve value, downwards)

C = -4/3 (-ve value, downwards)

A = 1.5 (lies in between +1 & +2)

B = -1/3 (-0.33 lies in between 0 & -1)

C = -4/3 (-1.33 lies in between -1 & -2)

See the attached picture for more details.

______

Hope it helps ⚜

Answer:

Tim has 224 blue marbles.

Step-by-step explanation:

32 × 7 = 224

He has 7 times as many as Malanie (32)

I hope this helps!!!!

Remainder=0

Quotient=7

Thanks!!