For the following expressions, match them up with their correct factored form​

Answer:

4,923.75ft²

Step-by-step explanation:

The area of the backyard = Length * width \

Area of the backyard = 75 3/4 * 81 1/4

Area of the backyard = 303/4 * 325/4

Area of the backyard = 6,154.6875ft²

If 3/4 of the fence is finished, the area of the finished part is expressed as;

Finished part = 1/5 * 6,154.6875

Finished part = 1,230.9375ft²

Part left unfinished = 6,154.6875-1,230.9375

Part left unfinished  = 4,923.75ft²

Answer:235.5

Step-by-step explanation:

75 3/4= 75.75 (L). 81 1/4= 81.25 (W)

Perimeter= 314 3/4 of 314 is 235.5

Answer:

7 hours

Step-by-step explanation:

Answer:

8x9=72

Step-by-step explanation:

I hope that this helps u out..there is not really any explanation

Answer:

72

Step-by-step explanation:

8 Times Table

8 × 1 = 8

8 × 2 = 16

8 × 3 = 24

8 × 4 = 32

8 × 5 = 40

8 × 6 = 48

8 × 7 = 56

8 × 8 = 64

8 × 9 = 72

8 × 10 = 80

8 × 11 = 88

8 × 12 = 96

Answer:

y=⅘x-2

Step-by-step explanation:

8x-10y=20

-10y=-8x+20

y=⅘x-2

Answer:

i think the area is 60 i added it up

Answer:

I think it's 18z slices, please tell me if i'm wrong!

Step-by-step explanation:

6*3 = 18

18*z = 18z

I think it's 18z slices, please tell me if i'm wrong!

Answer:

It would cost $ 34.5

Step-by-step explanation:

Given,

The cost of 3/4 lb of chopped walnut = $ 3.45,

So, the cost of 1 lb of chopped walnut = 4/3*3.45

=4*1.15

= $ 4.6,

Thus, the cost of 7.5 lbs of walnuts = 7.5 × cost of 1 b of walnut

= 7.5 × 4.6

= $ 34.5

Answer:

The height of cylinder is 9 cm

Step-by-step explanation:

Volume of cylinder = 198 cm³

Base Area = 22 cm²

We need to find height of the cylinder

The formula used is: [tex]Volume\:of\:cylinder=\pi r^2h[/tex]

Where [tex]Base\: Area = \pi r^2[/tex]

First we need to find radius r

[tex]Base\: Area = \pi r^2\\22=3.14\: r^2\\r^2=\frac{22}{3.14}\\r^2=7\\Taking\: square\: root\: on\: both\: sides\\\sqrt{r^2}=\sqrt{7}\\r=2.656[/tex]

So, we get radius r = 2.656

Putting values of volume and radius are to find height

[tex]Volume\:of\:cylinder=\pi r^2h\\198=3.14(2.656)^2h\\h=\frac{198}{22}\\h=9[/tex]

So, the height of cylinder is 9 cm

9514 1404 393

Answer:

  log₁₂(4)

Step-by-step explanation:

The applicable rule of logarithms (to the same base) is ...

  log(a^b) = b·log(a)

__

Then the expression simplifies as follows:

  [tex]3\log_{12}(2)+\dfrac{1}{3}\log_{12}(2^3)-\log_{12}(2^2)\\\\=3\log_{12}(2)+\dfrac{3}{3}\log_{12}(2)-2\log_{12}(2)=(3+1-2)\log_{12}(2)\\\\=2\log_{12}(2)=\log_{12}(2^2)=\boxed{\log_{12}(4)}[/tex]

Answer:

3+37=40

3/40×1200=90kg

37÷40×1200=1110kg

Step-by-step explanation:

''.''

Answer:

[tex]3x+37x=40x\\40x=1200kg\\x=\frac{1200}{40} \\x=30kg\\[/tex]

[tex]3x=30kg*3=90kg\\37x=30kg*37=1110kg[/tex]

Answer: What is the ratio of 7 to 2?

Students learn that a ratio is a comparison of two numbers or quantities. For example, if there are 2 shaded parts of a picture and 7 unshaded parts, the ratio of shaded parts to unshaded parts is 2 to 7. Note that the ratio 2 to 7 can also be written as 2:7 or 2/7

What is the ratio of 7 to 5?

20 : 28

5 : 7 = 20 : 28. And 7 is a fourth of 28.

Step-by-step explanation:

Answer: 1+1 = 2 :)

Step-by-step explanation:

Answer:

1+1=2

this is a very simple question

Answer:

the original volume is 4.0L

Step-by-step explanation:

Step one:

given data

V1= ?

T1=  52 °C

V2= 6.1L

T2=  79° C

Step two

applying the volume temperature relationship, which is

V1/T1= V2/T2

substituting we have

V1/52= 6.1/79

cross multiply we have

52*6.1= V1*79

317.2= 79V1

divide both sides by 79

V1= 317.2/79

V1=4.0L

Answer:

12

Step-by-step explanation:

Key word: Most likely

First try to find the constant of proportionality

8/2= 4

4/4= 1

20/5=4

24/6=4

Since it says most likely we would say the constant of proportionality is 4.

Since they are asking for 3 homes runs we will do 3 times 4

[tex]3[/tex]×[tex]4=12[/tex]

The player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.

The constant of proportionality is the ratio between two directly proportional quantities.

Two quantities are directly proportional when they increase and decrease at the same rate.

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Finding the constant of proportionality :-

8/2= 4

4/16= 4

20/5=4

24/6=4

Since, the constant of proportionality is 4.

And, they are asking for 3 homes runs we will do 3 times 4

Therefore, 3 x 4 = 12

Hence, the player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.

Learn more about constant of proportionality click;

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Answer:

2/5

Step-by-step explanation:

First, we substract the y variables.

y - 2 - y - 3 = 1

2(1) = 2

Then we subtract the bottom numbers.

5-2 = 3

The answer is 2/5

Answer:

y = 4

Step-by-step explanation:

9514 1404 393

Answer:

  7.  obtuse

  8.  right

  9.  acute

Step-by-step explanation:

You can look at the difference ...

  a^2 + b^2 -c^2

where c is the longest side. You can classify the triangle based on the result:

  > 0 -- acute

  = 0 -- right

  < 0 -- obtuse

__

7. 7^2 +9^2 -15^2 = 49 +81 -225 = -95  ⇒  obtuse

8. 3^2 +4^2 -5^2 = 9 +16 -25 = 0  ⇒  right

9. 4^2 +5^2 -6^2 = 16 +25 -36 = 5  ⇒  acute

_____

There are several triangle solver apps and web sites available. Your graphing calculator may also solve triangles for you.

Answer:

At time t=0.5, the stone reaches a maximum height of h= 35.

Step-by-step explanation:

A quadratic function or function of the second degree is a polynomial function defined by:

f(x)=a*x² + b*x +c

The maximums and minimums of a function are the largest (maximum) or smallest (minimum) values ​​of a function.

The vertex of the function is a point that is part of the parabola or quadratic function that coincides with the maximum or minimum. When a> 0, the vertex of the parabola is at the bottom of it, being a minimum (that is, the parabola opens "upward"), and when a <0 the vertex is at the top , being a maximum (that is, the parable opens "downward").

h represents the value of its abscissa (value of x).

k represents the value of its ordinate (value of f (x)).

The value of h can be calculated with the formula [tex]h=-\frac{b}{2*a}[/tex]

The value of k must be obtained by substituting the value of h in the function f(x)=a*x² + b*x +c

In this case: a=-16, b=16 and c=32. As a <0 the vertex is at the top , being a maximum. So:

[tex]h=-\frac{16}{2*(-16)}=0.5[/tex]

Substituting the value of h in the function f(x)=-16*x² + 16*x +32 you get:

f(0.5)=-16*0.5² + 16*0.5 +32

f(0.5)= 35

At time t=0.5, the stone reaches a maximum height of h= 35.

Answer:

3

Step-by-step explanation:

2/36=x/54

Cross multiply and find x

Answer:

it is 3 cups!

Step-by-step explanation:

36+18=54

2 cups were used for 36, 3 cups were used for 54 :)

Answer:

2•2²×100+5.

Step-by-step explanation:

Answer:

[tex] \frac{y - 3}{x - 0} = \frac{3 - 1}{0 - 1} = \frac{2}{ - 1} \\ \frac{y - 3}{x} = - 2 \\ y - 3 = - 2x\\ 2x + y - 3 = 0 \\y = - 2x + 3 \\ \boxed{f(x) = - 2x + 3}[/tex]

hope this helps.

Answer:

B

Step-by-step explanation:

Answer: 3.1p - 8.37

Step-by-step explanation:

To find the solution, you need to distribute 3.1 to each of the values within the parenthesis (p and -2.7, respectively).

3.1 x p = 3.1p

3.1 x -2.7 = -8.37

Combine components

3.1p - 8.37

Answer:

There are 9838.5 feet in 3 kilometers.

Step-by-step explanation:

Given that:

There are 1.61 kilometer in a mile.

1 mile = 1.61 km

Also,

1 mile = 5280 feet

Comparing,

1.61 km = 5280 feet

1 km = [tex]\frac{5280}{1.61}[/tex] feet

1 km = 3279.50

3 km = 3279.50 * 3

3 kilometers = 9838.5 feet

Hence,

There are 9838.5 feet in 3 kilometers.

A distance of 3 kilometers is equal to 9,838.5 feet.

Given to us:

1 miles = 1.61 kilometers,

1 miles = 5,280 feet,

from the above to equations we can conclude,

[tex]1\ miles = 1.61\ kilometers = 5,280\ feet\\ 1.6\;kilometers = 5,280\ feet\\\\1\ kilometers =\dfrac{ 5,280\ feet}{1.61} \\\\1\ kilometers = 3,279.5\ feet[/tex]

So, now for 3 kilometers we can conclude that,

[tex]1\ kilometers = 3,279.5\ feet\\3\ kilometers = (3,279.5\times3)\ feet\\3\ kilometers = 9,838.5\ feet[/tex]

Hence, A distance of 3 kilometers is equal to 9,838.5 feet.

To know more visit:

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Answer:

The answer is D.

Step-by-step explanation:

Answer:

a = 44 is correct

Step-by-step explanation:

a + 4 = 48

plug in the #'s 1 at a time

43 + 4 = 48

47 = 48  FALSE

51 + 4 = 48

55 = 48  FALSE

44 + 4 = 48  TRUE

52 + 4 = 48  FALSE

Hope this Helps!!!

Answer:

Your answer would be a= 44

Step-by-step explanation:

44+4=48

To check: 48-4=44

Therefore, your answer is 44

Answer:

-5/4

Step-by-step explanation:

rise/run = -5/4

hope this helps <3

Answer:

-5/4

calculator lol (and rise over one)