The rectangle below has an area of 49-x^249−x 2 49, minus, x, squared square meters and a width of 7+x7+x7, plus, x meters. What expression represents the length of the rectangle?

Hey there!

The answer to your question is infinitely many solutions.

First, we will simplify each side of the equation. On the left side, we are given:

[tex]2(x+5)+2[/tex]

First, distribute [tex]2[/tex]:

[tex]2x+10+2[/tex]

Add [tex]10[/tex] and [tex]2[/tex]:

[tex]2x +12[/tex]

On the right side, we are given:

[tex]4x+12-2x[/tex]

So, we subtract [tex]2x[/tex] from [tex]4x[/tex]:

[tex]2x+12[/tex]

Now, we have:

[tex]2x+12=2x+12[/tex]

First, subtract [tex]2x[/tex] from both sides:

[tex]12=12[/tex]

We got, [tex]12=12[/tex], which means [tex]x[/tex] has infinitely many solutions.

Have a terrificly amazing day! :)

Answer:

35

Step-by-step explanation:

Please look at the attachment down below.

Hope this helped! :)

The  sum of three number is 35.

A square number is the result when a number has been multiplied by itself.

For example, 25 is a square number because it's 5 lots of 5, or 5 x 5.

Given:

if the number given is 9

9² - (9 - 1)² = 9² - 8²

                 = 81-64

                  = 17.

if the number given is 6.

6² - (6 - 1)² = 6² - 5²

                 = 36-25

                 = 11.

if the number given is 4.

4² - (4 - 1)²= 4² - 3²

                = 16-9

                = 7.

Thus, the sum of three number is

=17 + 11 + 7

= 35

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Answer:

D

Step-by-step explanation:

Step 1: (3)^2*6pi

Step2: 54 pi cm^3 Ans

Answer:

169.71

Step-by-step explanation:

FIRST PUT THE VALUES IN THE FORMULA OF VOLUME OF CYLINDER i.e.  V= πr^2 h  then evaluate the values as V=22/7(3)^2(6)  =169.71cm^3

Answer:

19

Step-by-step explanation:

46x0.84=38.64

That means you have to score at least a 39 to pass.

19 students have 39 or better.

Given:

A model of a famous statue is [tex]3\dfrac{1}{2}[/tex] inches tall. The actual statue is [tex]5\dfrac{1}{4}[/tex] feet tall.

To find:

The the ratio of the height of the model to the height of the actual statue in simplest form.

Solution:

We have,

Height of the model = [tex]3\dfrac{1}{2}[/tex] inches

Height of the actual statue = [tex]5\dfrac{1}{4}[/tex] feet.

Now, the ratio of the height of the model to the height of the actual statue is:

[tex]\text{Ratio}=\dfrac{\text{Height of model}}{\text{Height of actual statue}}[/tex]

[tex]\text{Ratio}=\dfrac{3\dfrac{1}{2}\ in.}{5\dfrac{1}{4}\ ft}[/tex]

[tex]\text{Ratio}=\dfrac{\dfrac{3(2)+1}{2}\ in.}{\dfrac{5(4)+1}{4}\ ft}[/tex]

[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{\dfrac{21}{4}\ ft}[/tex]

We know that 1 ft = 12 in.

[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{\dfrac{21}{4}\times 12\ in.}[/tex]

[tex]\text{Ratio}=\dfrac{\dfrac{7}{2}\ in.}{21\times 3\ in.}[/tex]

[tex]\text{Ratio}=\dfrac{7}{2\times 21\times 3}[/tex]

[tex]\text{Ratio}=\dfrac{1}{2\times 3\times 3}[/tex]

[tex]\text{Ratio}=\dfrac{1}{18}[/tex]

Therefore, the ratio of the height of the model to the height of the actual statue in simplest form is [tex]\dfrac{1}{18}[/tex].

Answer:

13.75 divided by 4/5

Step-by-step explanation:

hope this helped :)

Answer:

All real numbers

Step-by-step explanation:

Here, we want to get the domain

The domain refers to the possible x values of the function

As we can see, the plot extends thoroughout the entirety of the graph

This extends from positive infinity to negative infinity

This means that the domain is all real

numbers

Answer: The answer is a > 50.45 since the amount of A is larger than 50.45

Step-by-step explanation:

Answer:

9cm

Step-by-step explanation:

to solve first divide the total perimiter (40cm)  by 4

this would allow 10cm for each side to allow the longer side to be 2 cm longer than the height we must subtract 1cm (for a total of 2cm) from each side of the rectangle, this would result in the shorter side having a length of 9cm

40=2 x (9+11)

Answer:

Step-by-step explanation:

b hbbjnhbjjnh

Answer: 4x+8<120

x<28

Step-by-step explanation:

As per the statement in the question, the inequality will be 4x + 8 < 136.

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the instructions given in the question,

The length (l) of the rectangle = x+4

The width (w) of the rectangle = x

As per the formula of the perimeter, P:

P = 2 (l + w)   (i)

Put the values in (i)

P = 2 (x + 4 + x)

P = 2x + 8 + 2x

P = 4x + 8

Then the inequality as per the statement in the question will be,

4x + 8 < 136.

To know more about inequality:

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Answer:

15 miles

Step-by-step explanation:

They both ran a total of 9 laps and 9 laps = 27 miles

This means each lap is 3 miles.

So Luigi ran 15 miles cause he ran 5 lap and each lap is 3 miles

Answer:

y- intercept = 30

Step-by-step explanation:

The y- intercept is the value on the y- axis (vertical) where the graph crosses

Each square on the vertical has a value of 10

The graph crosses the vertical axis 2 squares below 50.

Then y- intercept = 30

Answer:

the answer is D or A

Step-by-step explanation:

step-by-step explanation

I hope this helps

Answer:

more info??

Step By Step:

9514 1404 393

Answer:

  33 ft²

Step-by-step explanation:

Each triangle's area is given by the formula ...

  A = (1/2)bh

  A = (1/2)(3 ft)(4 ft) = 6 ft²

The square base area is given by ...

  A = s²

  A = (3 ft)² = 9 ft²

__

The total area of the pyramid is the area of the base plus the area of four triangular faces.

  Total Area = (9 ft²) + 4(6 ft²) = (9 +24) ft²

  Total Area = 33 ft²

Answer:

See Below.

Step-by-step explanation:

Statements:                                              Reasons:

[tex]1)\, XY=XZ[/tex]                                              Given

[tex]2) \text{ $ m\angle Y= m\angle Z$}[/tex]                                        Isosceles Triangle Theorem

[tex]\displaystyle 3) \text{ $m\angle Y=m\angle XYQ + \angle QYZ$}[/tex]                  Angle Addition

[tex]\displaystyle 4)\text{ $YQ$ bisects $\angle XYZ$}[/tex]                               Given

[tex]5) \text{ $m\angle XYQ=m\angle QYZ$}[/tex]                           Definition of Bisector

[tex]\displaystyle 6)\text{ $m\angle Y=2m\angle QYZ$}[/tex]                               Substitution

[tex]7)\text{ $m\angle Z=m\angle XZP+m\angle PZY$}[/tex]              Angle Addition

[tex]8)\text{ $ZP$ bisects $\angle XZY$}[/tex]                              Given

[tex]\displaystyle 9) \text{ $m\angle XZP=m\angle PZY$ }[/tex]                          Definition of Bisector

[tex]\displaystyle 10) \text{ $ m\angle Z = 2m\angle PZY $}[/tex]                            Substitution

[tex]11)\text{ } 2m\angle QYZ=2m\angle PZY[/tex]                    Substitution

[tex]12)\text{ }m\angle QYZ=m\angle PZY[/tex]                        Division Property of Equality

[tex]13)\text{ } YZ=YZ[/tex]                                         Reflexive Property

[tex]14)\text{ } \Delta YZP\cong\Delta ZYQ[/tex]                             Angle-Side-Angle Congruence*

[tex]15)\text{ } YQ=ZP[/tex]                                         CPCTC

*For clarification:

∠Y = ∠Z

YZ = YZ (or ZY)

∠PZY = ∠QYZ

So, Angle-Side-Angle Congruence:

ΔYZP is congruent to ΔZYQ

Answer:

this is your answer. look at this once.

1c is equal

1d not equal

1b is equal

1a is not equal

Answer: 710,000 kg

Step-by-step explanation:

There are 100 pence in one pound.

The number of two pence coins in 1 pound is therefore:

= 100 / 2

= 50 coins

In 2 million pounds therefore, there will be:

= 50 * 2,000,000

= 100,000,000 two pence coins

If one coin weighs 7.1g, weight is:

= 100,000,000 * 7.1

= 710,000,000 g

A kg is 1,000 grams so the weight in kg is:

= 710,000,000/1,000

= 710,000 kg

Answer:

9.33333 inches.

Step-by-step explanation:

700 / 75?

Answer:

-26n/5 + 9.5

Step-by-step explanation:

3.5−3.2n−2n+6

Combine −3.2n and −2n to get −5.2n.

3.5−5.2n+6

Add 3.5 and 6 to get 9.5.

9.5−5.2n

Answer:

9

Step-by-step explanation:

12x + 17x - 14 + 90 + 2x + 5 = 360

31x + 81 = 360

31x = 279

x = 9

Answer:

12.5

Step-by-step explanation:

37.50÷15=2.5

2.5×5=12.5

Answer: $12.50

Step-by-step explanation:

You have to divide 37.5 by 15 which is 2.5 then multiply that by 5 which is 12.5.

Answer:

The first,  4th and  6th are rational.

Step-by-step explanation:

The second, third and 5th are irrational.

Answer:

Number 1.

Step-by-step explanation:

Largest 4: 4m

2nd Largest: 4m

Answer:

1. 54 (muy bien!!!)

2. 270

3.440

Answer:

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Step-by-step explanation: