The area of a rectangle is found using the formula A=lw, where l is the length of the rectangle and w is the width. Multiply each pair of factors and express the area of each rectangle as a single polynomial in terms of x.


l=x+14; w=3x+1

Answer:

67

Step-by-step explanation:

Answer:

2 over 36

Step-by-step explanation:

The only way to get an 11 is with a 5 and a 6 so the probability of rolling a sum of 11 is:

(2/6)(1/6)=2/36

Answer:

x = 26.5

y = 12.0

z = 13.4

Step-by-step explanation:

✔️To find x, apply the leg rule, which is:

Hypotenuse/leg = leg/part

Hypotenuse = 30

Leg = x

Part = 30 - 6 = 24

Plug in the values into the equation

30/x = x/24

Cross multiply

x² = 30*24

x² = 720

x = √720

x = 26.5 (nearest tenth)

✔️Apply the triangle altitude theorem to find y:

Based on the theorem, h = √(ab)

Where,

a = 6

b = 30 - 6 = 24

h = y

Plug in the values

y = √(6*24)

y = √144

y = 12

✔️Apply the leg rule, Hypotenuse/leg = leg/part to find z:

Hypotenuse = 30

Leg = z

Part = 6

Plug in the values into the equation

30/z = z/6

Cross multiply

z² = 30*6

z² = 180

z = √180

z = 13.4 (nearest tenth)

Answer:

c

Step-by-step explanation:

it a c....................

Answer:

s = 4

Step-by-step explanation:

Note that the triangle has 2 congruent base angles, both 45°

This means the triangle is isosceles with congruent legs, then

s = 4

Answer:4

Step-by-step explanation:

Around 433.63 would be the correct answer

Answer:

-0.75

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

24+x=72

Isolate x

24+x=72

-24    -24

x=48

Answer:

The fifth and fourth one

Step-by-step explanation:

Answer:

A. 20ft

Step-by-step explanation:

Answer:

d. 98.5

Step-by-step explanation:

Triangles:

5 x 4 = 20/2 = 10

Circle:

5² x 3.14 = 78.5

Add both of them 98.5

Answer:

(x-h)²+(y-k)²=r²

putting respective value

(x--4)²+(y-3)²=9²

(x+4)²+(y-3)²=81

Answer:

(x + 4)^2 + (y - 3)^2 = 9^2

Step-by-step explanation:

Here our center is at (-4, 3), so h = -4 and k = 3.  Radius, r, is 9.

Insert these values into the standard equation of a circle centered at (h, k) with radius r:

(x - h)^2 + (y - k)^2 = r^2 becomes:

(x + 4)^2 + (y - 3)^2 = 9^2

9514 1404 393

Answer:

  (v -7)/(5v^2)

Step-by-step explanation:

Cancel common factors from numerator and denominator.

  [tex]\dfrac{v^2-49}{20v^3}\times\dfrac{4v^2-24v}{v^2+v-42}=\dfrac{4}{20}\cdot\dfrac{(v-7)(v+7)(v)(v-6)}{v^3(v+7)(v-6)}\\\\=\dfrac{1}{5}\cdot\dfrac{v-7}{v^2}\cdot\dfrac{v(v+7)(v-6)}{v(v+7)(v-6)}=\boxed{\dfrac{v-7}{5v^2}}[/tex]

Answer:

2 box plots. The number line goes from 175 to 450. For resort A, the whiskers range from 175 to 375, and the box ranges from 250 to 300. A line divides the box at 375. For Resort B, the whiskers range from 200 to 400, and the box ranges from 300 to 375. A line divides the box at 325.

Step-by-step explanation:

Answer:

ab 50 and ab 75

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

i think so...

[tex] \sqrt{30} = 5.47[/tex]

have a nice day

440 is the answer

Tn=a+(n-1)d

Tn=53

a= -12

n=53

d= 11

-12+(53-1)11 = 440

Answer:

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

Since we're finding the 53rd term

a = - 12

n = 53

d = -1 - ( -12) = - 1 + 12 = 11 or 10--1 = 10 +1 =11

d = 11

So we have

A(53) = - 12 + (11)(53 - 1)

= - 12 + 11(52)

= -12 + 572

= 560

We have the final answer as

Hope this helps you

Answer:

B) 18

Step-by-step explanation:

6 out of 18 is 6/18 = 1/3

1/3 x 54 = 18

Answer:

y = -1/2 x + 25

The relationship is linear, but it takes some doing.

Step-by-step explanation:

Remark

This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.  

You have to introduce another variable which I labeled as z.

Let time = x

Let distance = y

Let the step away from the starting point = z   which will be the same for x and y. So 18 and 16 the step away from the start is 3.

So as the time increases, the distance decreases.  What we are going to do sort of resembles a parametric relationship.

t starts with 10

x = 10 + 4*(z - 1)   and increases by 4 with each step

d starts with 20 and decreases by 2 with each step

y = 20 - (z - 1)*2

Now solve for z in each of the forgoing equations.

x = 10 + 4z - 4

x = 6 + 4z

x - 6 = 4z

(x - 6)/4 = z

y = 20 - 2z + 2

y = 22 - 2z

y - 22 = - 2z

(y - 22)/-2 = z                    

Since the zs must be kept the same, the left sides are equated

(x - 6)/4 = (y - 22)/-2               Cross multiply

-2(x - 6) = 4(y - 22)                 Remove the brackets.

-2x + 12 = 4y - 88                   add 88 to both sides.

-2x + 100 = 4y                        Switch the sides

4y = - 2x + 100                       Divide by 4

y = -1/2 x  + 25

Now for sure you have to try this.

Let x = 14

y = -1/2 * 14 + 25

y = -7 + 25

y =  18

Try another one

Let x = 22

y = -1/2 * 22 + 25

y = - 11 + 25

y = 14

Those two at least check.

Answer:

In point form:

( -1 , 1 )

In equation form:

x  =  − 1  , y  =  1

Answer:

vertical? (not sure

75=4x-25

100=4x

x=25

Answer:

There were 39 children at the party

Step-by-step explanation:

Here, we want to know the number of children at the party

To do this, we have to add the y-values ( frequencies of the age grades)

We have this as;

8 + 8 + 7 +10 + 6 = 39

Answer:

a= 3 w- 1

Step-by-step explanation:

Answer:

A=12[tex]u^{2}[/tex]

Step-by-step explanation:

A=bh/2

A=(4)(6)/2

Answer:

1

Step-by-step explanation:

Answer:

b is the cprrect answer

Step-by-step explanation:

please mark this answer as brainliest

Answer:

5.25 mins

Step-by-step explanation:

189/36 = 5.25.

Don't download/ clikc on any links they are hackers.

Answer:

89.25

Step-by-step explanation:

because:

it just is

Answer:

h = 12 m

[tex] v_{cylinder}= 235.5 \: {m}^{3} [/tex]

Step-by-step explanation:

Radius of cylinder (r) = 5/2 = 2.5 m

[tex] {h}^{2} = {13}^{2} - {5}^{2} \\ h = \sqrt{ {13}^{2} - {5}^{2} } \\ h = \sqrt{169 - 25} \\ h = \sqrt{144} \\ h = 12 \\ \\ v_{cylinder} = \pi {r}^{2} h \\ v_{cylinder}= 3.14(2.5) ^{2} (12) \\ v_{cylinder}= 235.5 \: {m}^{3} [/tex]

Answer in screen shot below

Answer: try C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

It's c because you multiply 3 1/8 by 3 and 3 1/4 by 4 and 3 1/2 by 1.

Answer:

x=cb-ad/bd

Step-by-step explanation:

The statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd

Given nonzero integers:

a, b, c, d

a/b + x

a/b + x = c/d

prove x to be a rational number

a/b + x = c/d

a/b + x - a/b = c/d - a/b

x = c/d - a/b

x = (cb - ad) / bd

Therefore, the statement which can be used to prove that x must be a rational number is x = (cb - ad) / bd

Learn more about rational number:

https://brainly.com/question/12088221

Answer:

The original price was $142.5.

Step-by-step explanation:

40 ÷ 100 = 0.4

$57 ÷ 0.4 = $142.5

Therefore, $142.5 is our answer.

Answer:

142.5

Step-by-step explanation:

Let's say the original price of the store before the sale is x
so 40% x X = $57
40/100 (X ) =57
0.4 (X) = 57 ====> X = 57 / 0.4 = 142.5

The original price of the stove before the sale is  $ 142.5