Distributive property Use the distributive property to remove the parentheses .{y+10}12=

Answer:

The width will be [tex]x^{2} +5x-4[/tex]

Step-by-step explanation:

Thinking process:

Let the model be:

[tex]4x^{2} +20x-16[/tex]

factoring out 4 gives:

[tex]4(x^{2} +5x-4)[/tex]

Factorizing the expression in the parentheses gives:

[tex]4(x^{2} +5x-4)[/tex]

Therefore, since the expression in the parentheses cannot be factorized further, the expression is:

[tex]length = 4 units\\width = x^{2} +5x-4[/tex]

The width of the area model is x^2 + 5x - 4

The area model is given as:

Area = 4x^2 + 20x - 16

Factor out 4 from the expression

Area = 4(x^2 + 5x - 4)

Express as product

Area = 4 * (x^2 + 5x - 4)

4 represents the length.

So, the width of the area model is x^2 + 5x - 4

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Answer:

The circumference is 43.98

or 44 inches rounded, maybe

Step-by-step explanation:

Answer: Line s = 17 units

Step-by-step explanation: Please refer to the attached diagram.

The triangle ACD is drawn and labeled such that line BD extends from point D and forms a right angle at point D. A careful observation shows that we now have two right angled triangles. One is DAB and the other is DCB. The unknown side ‘s’ lies on triangle DAB, hence we shall use the available dimensions in DAB. Line AD or a, is the hypotenuse (side facing the right angle). We can now apply the Pythagoras theorem since we have been given the other two sides.

The theorem states that,

AD^2 = DB^2 + AB^2

AD^2 = 15^2 + 8^2

AD^2 = 225 + 64

AD^2 = 289

Add the square root sign to both sides of the equation

AD =17.

Therefore, s measures 17 units

The line BD drawn perpendicular to side AC forms two right triangles with

the side s being of the hypotenuse side.

Reasons:

The given parameters are presented ;

The given triangle = ΔACD

The points on the line BD are; Point B on side AC and point D

Line BD forms a right angle

Line AD = s

Length AB = 8

Length BC = 5

Line BD = 15

According to Pythagorean theorem, we have;

[tex]\overline{AD}[/tex]² = [tex]\overline{BD}[/tex]² + [tex]\overline{AB}[/tex]²

Which gives;

[tex]\overline{AD}[/tex]² = 15² + 8² = 289

[tex]\overline{AD}[/tex] = √289 = 17

Therefore;

[tex]\overline{AD}[/tex] = s = 17

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Answer:

Starting population of crickets is 50. It doubles in size every 4 months.

5 years = 60 months

60 : 4 = 15

The equation is:

f ( x ) = 50 * 2^x ( an exponential function )

f ( 15 ) = 50 * 2^15 = 50 * 32,768

f ( 15 ) = 1,638,400

Answer: A ) 1,638,400

Answer:

6m is the answer

Step-by-step explanation:  We have rounded numbers down and the correct answer is 6.25 =60%  in the illustration it measures 70% =6m rounded up from 5.6

If we refer to reduction r to find meters and input m in the equation to find percent at 6m shown. We can re-arrange at point 6(6m)100 = 36   (6m)100=36/6 =6m 1/100 = 0.6.   or 0.6/6 =1 To find ?r we can show 0.6  as 6r = 0.6 x 100  6r=10   6/10= 4r reduction etc..   60%  to work this out. Based on isolated data of only 6ft being shown and compare the relation with that 0-30%. and 0-40% in change of data with 6= 30% decrease = r  = 6.25 as 6ft is r4 within reduction to 1dp. =3.2 which could be 3.2x 100=+30 etc rearrange and 3.2 x100 =32 +30 is 6.2 

The requried depth at which the intensity will be 60% is 9 meters.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
Let the y be the intensity at distance x below the surface,
Now, exponential function representing the scenario is given as,
y = abˣ

Where,
a = 100%,
b = constant of variability.

Now,
for x = 0, y = 100%,
a = 100% - - - - (1)

And x = 6, y = 70%,
70 = ab⁶ - - - (2)

Dividing equation 1 by 2,
Gives b = 0.9423

Now,
y = 100(0.9423)ˣ

Put y = 60
60 =  100(0.9423)ˣ
x = 8.69
x≈ 9 meters

Thus, the requried depth at which the intensity will be 60% is 9 meters.

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Answer:

12 math problems and 12 pages.

Step-by-step explanation:

Reading=1.5x

Soling math=3x

1.5x+3x=4.5 minutes. Add like terms together.

4.5x=54 minutes. Divide both sides by 4.5 to get x.  So x=12 minutes.

1.5x=18 minutes. 3x=36 minutes

If 1 problem took him 3 minutes,what about 36 minutes??

Now divide 36 by 3. The answer is 12 problems.

If 1 page took 1.5 minutes, what about 18 minutes?? So divide 18 by 1.5 and you will get 12 pages .

Colton solved 9 math problems and read 18 pages.

Since Colton has math and reading homework tonight, and he can solve each math problem in 3 minutes and he can read each page in 1.5 minutes, and the number of pages Colton read is twice the number of math problems he solved, and it took him 54 minutes to complete all of his homework, to determine the number of math problems Colton solved and the number of pages he read, the following calculation must be performed:

Therefore, Colton solved 9 math problems and read 18 pages.

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Answer:yes

Step-by-step explanation:

Answer:

k = -1.5

Step-by-step explanation:

Step 1:  Solve for k

16k + 24 - 24 = 0 - 24

16k / 16 = -24 / 16

k = -3/2

k = -1.5

Answer:  k = -1.5

For the same numerator, bigger denominators mean smaller fractions (if everything's positive).  2/3 is bigger than all the other ones , which are 1/2 or less.

Answer: 2/3, 1/2, 1/4, 1/5, 1/6

Answer:

Ill walk you through

Step-by-step explanation:

How many MBs are in a GB??

Remember that 1000 MB  =  1 GB.

Start by adding together all the MB values.

800 MB + 1500 MB + 750 MB = 3050 MB.

Next, convert to GB by dividing by 1000.

3050 MB / 1000 = 3.05 GB

Since 3.05 < 4, YES. It will all fit in Alice's 4 GB thumb drive.

Step-by-step explanation:

Given one is an isosceles trapezoid. Hence its non-parallel sides are equal.

In order to find the Perimeter of trapezoid, we need to find the length of non-parallel sides

Length of non-parallel sides can be obtained using Pythagoras theorem as given below:

[tex]Length \: of \: non-parallel \: sides \\ = \sqrt{ {(diff. \: of \: bases)}^{2} + ({height)}^{2} } \\ = \sqrt{ {(39 - 27)}^{2} + {(12)}^{2} } \\ = \sqrt{ {12}^{2} + {12}^{2} } \\ = \sqrt{2 \times {12}^{2} } \\ = 12 \sqrt{2} \\ = 12 \times 1.414 \\ = 16.968 \\ = 16.97 \: ft \\ \\ perimeter \: of \: trapezoid \\= 39 + 27 + 2 \times 16.97 \\ = 66 + 33.94 \\ = 99.94 \: ft[/tex]

Answer:

190$

Step-by-step explanation:

6+4+5=15 (Hours per day she worked)

15*17=255 (The money Jady got from her paycheck)

255-65=190 (The money Jady owes her mom)

Answer:

Step-by-step explanation:

x+41=-90 (original problem)

-41     -41 (you must get rid of the common factors by doing the opposite on both sides)

x= -132 (add -90 and -41 to get -132)

Option C - 3500/3

Step-by-step explanation:

Step 1 :

Number of units shipped in the year 2005 = 12,500 units

Number of units shipped in the year 2008  = 16,000 units

Time period = 3 years

We have to determine the rate of change of units over the 3 year period. This is obtained by dividing the difference in units by the time period.

Step 2:

The difference in units over the 3 year period = 16000 - 12,500 = 3500 units.

Hence the required change rate over the 3 year period = 3500/3

Option C is the answer.

Answer:

a is equal to 22 because 11 times 2 is 22

Answer:

A is 22

Step-by-step explanation:

1/2 = 0.5

0.5×22=11

Answer:

what do you need to do plz give the question

Step-by-step explanation:

Answer:

A = 18b

Step-by-step explanation:

A = kb

6 = k(⅓)

k = 6×3

k = 18

A = 18b

Answer:

a = 18b

Step-by-step explanation:

Given that a varies directly as b then the equation relating them is

a = kb ← k is the constant of variation

To find k use the condition that a = 6 when b = [tex]\frac{1}{3}[/tex] , thus

k = [tex]\frac{a}{b}[/tex] = [tex]\frac{6}{\frac{1}{3} }[/tex] = 18

a = 18b ← equation of variation

Area of the parallelogram = 96 yd²

Solution:

The formula to calculate area of the parallelogram = Base × Height

Base of the parallelogram = 8 yd

Height of the parallelogram = 12 yd

To find the area of the parallelogram:

Area of the parallelogram = Base × Height

                                           = 8 yd × 12 yd

                                           = 96 yd²

Area of the parallelogram = 96 yd²

Answer:

x = 1 and x = -4

Step-by-step explanation:

Step 1:  Factor and find the roots

x^2 + 3x - 4 = 0

(x - 1)(x + 4)

x - 1 + 1 = 0 + 1 and x + 4 - 4 = 0 - 4

x = 1 and x = -4

Answer:  x = 1 and x = -4

Graph Below:

Answer: when x=7 the answer is 16

Step-by-step explanation:

Answer:

$676

Step-by-step explanation:

52x13= 676

Answer:

She would pay $676

Step-by-step explanation:

To solve the equation 2000 (X - 0.03) = 6000, divide both sides by 2000 to get X - 0.03 = 3, and then add 0.03 to each side to find X = 3.03.

To solve the algebraic equation 2000 (X - 0.03) = 6000 using the divide each side method, we can follow these steps:

Now X has been isolated, and we have found the value that satisfies the equation.

After accounting for exemptions, Melissa's tax is calculated by multiplying her taxable income by the state income tax rate. Due to missing information regarding the value of exemptions, we've assumed Melissa's entire gross pay is taxable. Therefore, she pays $1,560 per year in state income tax.

Based on the information presented in your question, we're to determine state income tax withholdings for an individual named Melissa Sartini. First, we need to subtract any allowable exemptions from Melissa's annual gross pay. In this question, the figures for the married exemptions are not provided so we'll have to assume that Melissa's taxable income is still $52,000.

To calculate the tax, we simply multiply her taxable income by the state income tax rate. The state income tax rate is given as 3%, so we convert 3% to a decimal (0.03) and multiply by $52,000. This gives us:

$52,000 * 0.03 = $1,560

Therefore Melissa has $1,560 withheld each year for state income tax.

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Answer:

6900

Step-by-step explanation:

[tex] = 6000 \times \frac{115}{100} = 6900[/tex]

Answer:

One solution: x=2.4, y=0.2

Step-by-step explanation:

x-2y=2

y=-2x+5​

x-2(-2x+5)=2

x+4x-10=2

5x=2+10=12

x=12:5=2.4

y=-2x+5=-2*2.4+5=-4.8+5=0.2

Answer: The difference in their ages is 13.

Step-by-step explanation: We shall start by assigning letters to represent the age of each one of them, that is the unknown variables. So, we shall call Rodney’s age r, and his sister’s age we shall call t. If the sum of Rodney and his sister’s age is 31, then we can write this as an expression,

r + t = 31

Also three times Rodney’s age can be written as 3 times r, or simply put, 3r. So five years less than three times Rodney’s age is equal to 3r - 5. Hence his sister’s age is equal to 3r - 5, or simply put,

t = 3r - 5

What we now have is a pair of simultaneous equations

r + t = 31 ————(1)

t = 3r - 5 ————(2)

We shall use the substitution method here. From equation (2), t = 3r - 5. So we shall substitute for the value of t into equation (1).

r + t = 31 now becomes

r + 3r - 5 = 31

4r - 5 = 31

Add 5 to both sides of the equation

4r -5 + 5 = 31 + 5

4r = 36

Divide both sides of the equation by 4

r = 9.

That means Rodney’s age is 9.

If from equation (1) r + t = 31, we can now insert the value of r in order to find t.

r + t = 31

9 + t = 31

Subtract 9 from both sides of the equation

t = 22.

That means his sister’s age is 22 while Rodney’s age is 9.

Therefore the difference in age between Rodney and his sister is

22 - 9 which equals 13.

Answer:

7/10 can't be simplified, 2/10->1/5

Step-by-step explanation:

7/10 cannot be simplified as 7 and 10 don't have any common factors other than 1

2/10 can be simplified by a factor of 2 to get 1/5

Answer:

Simplest form of 7/10=7/10

Simplest form of 2/10=1/5

Step-by-step explanation:

7/10 is 7/10 because it cannot be simply none has the same factors.

6 6/8 or 6 3/4 simplified

Step-by-step explanation:

First, add 5/8 and 7/8

Next, divide the sum of 5/8 and 7/8 (which is 1 4/8)

Lastly, add the wholes and 1 from 4/8