the figure below consists of a rectangle and an equilateral triangle. What is the perimeter of the figure?

Answer:

9x^2+33x+24

Step-by-step explanation:

The factors (3x + 3)(3x + 8) can be expressed as a trinomial 9x² + 33x + 24.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

To express (3x + 3)(3x + 8) as a trinomial, we can use the distributive property and FOIL (First, Outer, Inner, Last) method.

First, we multiply the first term of each binomial (3x) with the first term of the other binomial (3x), which gives us (3x)(3x) = 9x².

Next, we multiply the first term of one binomial (3x) with the second term of the other binomial (8), which gives us (3x)(8) = 24x.

Then we multiply the second term of one binomial (3) with the first term of the other binomial (3x) , which gives us (3)(3x) = 9x

Finally, we multiply the second term of each binomial (3) with the second term of the other binomial (8) , which gives us (3)(8) = 24

Now we add all the products to get the trinomial

9x² + 24x + 9x + 24 = 9x² + 33x + 24

Therefore, (3x + 3)(3x + 8) can be expressed as a trinomial 9x² + 33x + 24.

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Answer:

N=85 nickels

Q=18 quarters

9514 1404 393

Answer:

  equations: q+n = 103; 0.05n +0.25q = 8.75

  solution: q=18; n=85

Step-by-step explanation:

Write one equation for the number of coins:

  q+n=103.

Write another equation for the value of the coins:

  0.05n +0.25q = 8.75.

It is often convenient to substitute for the lower value, here, using n = 103-q. This results in an equation for q with positive coefficients.

  0.05(103 -q) +0.25q = 8.75

  5.15 +0.20q = 8.75

  0.20q = 3.60

  q = 18

  n = 103 -18

  n = 85

Wes has 18 quarters and 85 nickels.

Answer:

1¼

Step-by-step explanation:

⅝ ÷½

=⅝ײ/1

=⁵/4

=1¼

Whenever you divide two fractions you rewrite it switching the division sign for multiplication and writing the reciprocal of the second fraction.

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

5/8 of the pizza is equally shared between two people.

The fraction of the original pizza that each person receives is 5/16 of the pizza.

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Amount of pizza = 5/8

Equally shared between two people:

= 5/8 ÷ 2

= 5/(8x2)

= 5/16

This means that the fraction of the original pizza that each person receives is  5/16 of the pizza.

Thus,

5/8 of the pizza is equally shared between two people.

The fraction of the original pizza that each person receives is  5/16 of the pizza.

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Answer:

y=3/5x-14

Step-by-step explanation:

parallel lines have the same slope, so m=3/5

y=mx+b

-23=3/5(-15)+b

-23=-9+b

-14=b

y=mx+b

y=3/5x-14

Answer:

$206.9

Step-by-step explanation:

Answer:

Answer: 75%

Step-by-step explanation:

Answer: 0.9968

Step-by-step explanation:

Let [tex]\overline{X}[/tex] be the sample mean life of television.

Given: [tex]\mu=138,\ \ \ \sigma^2=324\Rightarrow\ \sigma=\sqrt{324}=18,\ \ \ , n=83[/tex]

The probability that the sample mean would be less than 143.4 months will be :

[tex]P(\overline{X}<143.4)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{143.4-138}{\dfrac{18}{\sqrt{83}}})\\\\=P(Z<2.733)=0.9969\ \ \ [\text{By p-value table}][/tex]

hence, the required probability = 0.9968

Answer:

c. NP

Step-by-step explanation:

NP is in the same position as DE (the middle)

Answer:

29.33

Step-by-step explanation:

88 is what percent of 300 = 29.33.

Answer:

264

Step-by-step explanation:

im not sure but i had this same thing on a quiz and i got it correct

Answer:

267.25

Step-by-step explanation:

4276/16=267.25

Answer:

I don't know what you're saying but the answer is 6x^2+93x+162

Step-by-step explanation:

Answer:

I woulda said B too...

Step-by-step explanation:

Answer:

Please see attached image

Step-by-step explanation:

The numbers on the upper row should be:  7   6   2

the number in the central disk should be    5

the bottom row should read  : 8   4   3

The addition on top row: 7 + 6 + 2 = 15

the addition on bottom row:  8 + 4 + 3 = 15

the addition on the central vertical column: 6 + 5 + 4 = 15

diagonal going down:    7 + 5 + 3 = 15

diagonal going up:   8 + 5 + 2 = 15

Answer:

y = 2x

Step-by-step explanation:

y-int = 0

slope = 2

Answer:

108cm²

Step-by-step explanation:

3x+x=4x

24÷4x=6

x=6

6×3=18

18×6=108

Answer:

This should help.

Step-by-step explanation:

Answer:

A-36,000.17m^2

Step-by-step explanation:

54 hope it helps 54 that what is gave it to me

Answer:

Evaluate [4+(15+3)÷9]×7 equals 42

Step-by-step explanation:

Answer:

The bases are not the same.

Step-by-step explanation:

12/3 is not equal to 11/3

Therefore we cannot add the exponents together.

Hope I helped :)

Answer:

(see below)

Step-by-step explanation:

12³ × 11³ is NOT equivalent to (12 × 11)[tex]^{3(3)}[/tex] because:

1) 12³ and 11³ don't have the same bases. They have to both have a base of 11 or of 12.

2) 12³ × 11³ and (12 × 11)[tex]^{3(3)}[/tex] are different because (12 × 11)[tex]^{3(3)}[/tex] is a whole different number altogether. Here's why:

12³ × 11³ = 1728 × 1331

              = 2,299,968

(12 × 11)[tex]^{3(3)}[/tex] = [tex](132)^{9}[/tex]

                  = 1.216649217 × [tex]10^{19}[/tex]

However, (12 × 11)³ would be equivalent to 12³ × 11³.

(12 × 11)³ = (132)³

               = 2,299,968

If the cost of college tuition in 2010 was $6016 and in 2014 was $9139, then the average rate of change in tuition during this time period was $781/year. Do you agree or disagree​?

To find the average rate of change during this time period, you need to divide the amount, in dollars, of the difference between the years and divide it by the number of years the time period was.

In 2010, the cost of the tuition was $6,016. In 2014, the cost of the tuition was $9,139. First, you need to subtract to find the difference in tuition.

[tex]9,139-6,016=3,123[/tex]

The increase in tuition for this time period is $3,123. Now, you need to find the number of years it took to increase by $3,123.

[tex]2010 \rightarrow2014 = 4 \text{ years}[/tex]

That means it took four years to increase by $3,123. Lastly, you need to find the average rate of change. You can find this by dividing the amount of dollars(the tuition increased by) by the number of years it took to increase.

[tex]\frac{\text{amount of dollars}}{\text{number of years}} = \frac{\$3,123}{4} = \$780.75[/tex]

That means the average rate of change during this time period was $780.75. Rounded to the nearest whole number, it would be $781. Therefore, you can agree that the average rate of change during this time was $781/year.

Answer:

I Agree

Step-by-step explanation:

That seems like a fair advantage for people planning to go to college!

Answer:

6

Step-by-step explanation:

18/3=6

Answer:

1.     = 5

2.     = -7

3.   = -4

Answer:

NP = 5.39

Step-by-step explanation:

This is the answer because opposite diagonals have equal lengths.

In quadrilateral LMNO which is a parallelogram, diagonals bisect each other, hence NP = LP = 5.39

A polygon can be defined as a two-dimensional closed shape with straight sides and no curved side. Types of polygons are triangle, quadrilateral, pentagon, hexagon, etc.

A parallelogram is a quadrilateral (four sides and four angles) in which opposite sides are equal and parallel. Opposite diagonals bisect each other.

In quadrilateral LMNO:

NP = LP = 5.39 (diagonals bisect each other)

In quadrilateral LMNO which is a parallelogram, diagonals bisect each other, hence NP = LP = 5.39

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Answer:

I think its 38 however i could be wrong

Step-by-step explanation:

Self explanatory i just added them

**Put as brainliest if you wish**

Answer:

139yds

Step-by-step explanation:

area of a rectangle is length time width

9(11)=99

area of a triangle is length times width divided by 2

8(10) divided by 2=40

99+40=139

Answer:

A)There is a recessionary gap of $25 billion.

Step-by-step explanation:

Full Employment   Consumers   Investors    Total Private    Total Saving

Income (Output)     Desire to      Desire to        Spending

                               Spend             Spend

$500                       $300                  $250           $___            $___

600                           375                   250             $___            $___

700                           450                   250             $___            $___

800                           525                   250            $___             $___

Total Private spending = Consumers desire to spend + Investors desire to spend

Total savings = Income - Total private spending

Using these formulas :

Solution Table

Full Employment   Consumers   Investors    Total Private    Total Saving

Income (Output)     Desire to      Desire to        Spending

                               Spend             Spend

$500                       $300                  $250           550            -50

600                           375                   250             625            -25

700                           450                   250             700              0

800                           525                   250            775              25

If the full-employment level of income (YF) in Table 9.2 is $800 billion So, There is a recessionary gap of $25 billion. Since total saving is $25

So, Option A is true .

Answer:

This answer is 67 because I think its the answer and I'm really just trying to get points on early sorry but you are

Answer:

1. True

2. false.

3. true

4. false

5. true