A contractor is purchasing some stone tiles for a new patio. Each cost $3 and he wants to spend less than $1200. The size of each tile is 1 square foot. Write an inequality that represents the number of tiles he can purchase with a $1200 limit, and then figure out how large the stone patio can be.

Answer:

see below

Step-by-step explanation:

x^2 + 10x+25 =0

This is the sum of squares

(x+5)^2 =0

x = -5   one solution

x^2 +5x = 0

x(x+5) = 0

x=0   x=-5   two solutions

x^2 -10x +25 = 0

This is the difference of squares

(x-5)^2 = 0

x=5   one solution

x^2 -25 =0

x^2 = 25

x = ±5   two solutions

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex] x^2+10x+25=0\\\\(x)^2+2.x.5+(5)^2\\\\(x+5)^2 [/tex]

[tex]x^2+5x=0\\\\x(x+5)=0\\\\x=0,x+5=0 [/tex]

[tex]x^2-10x+25=0\\\\(x)^2-2.x.5+(5)^2\\\\(x-5)^2[/tex]

[tex]x^2-25=0\\\\x^2=25\\\\x= \binom{ + }{ - }5 [/tex]

Given:

The terminal point of [tex]\theta[/tex] is [tex]\left(\dfrac{1}{2},\dfrac{\sqrt{3}}{2}\right)[/tex].

To find:

The value of [tex]\sin \theta[/tex].

Solution:

If the terminal point of [tex]\theta[/tex] is [tex](x,y)[/tex], then

[tex]\sin \theta = \dfrac{y}{\sqrt{x^2+y^2}}[/tex]

The terminal point of [tex]\theta[/tex] is [tex]\left(\dfrac{1}{2},\dfrac{\sqrt{3}}{2}\right)[/tex]. So,

[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{\sqrt{\left(\dfrac{1}{2}\right)^2+\left(\dfrac{\sqrt{3}}{2}\right)^2}}[/tex]

[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{\sqrt{\dfrac{1}{4}+\dfrac{3}{4}}}[/tex]

[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{\sqrt{1}}[/tex]

[tex]\sin \theta = \dfrac{\dfrac{\sqrt{3}}{2}}{1}[/tex]

[tex]\sin \theta =\dfrac{\sqrt{3}}{2}[/tex]

Therefore, the correct option is B.

Answer:

Step-by-step explanation:

5 times the first equation minus the second one:

Find a:

Answer:

732 samples ;

752 samples

Step-by-step explanation:

Given :

α = 90% ; M.E = 0.03 ; p = 0.58 ; 1 - p = 1 - 0.58 = 0.42

Using the relation :

n = (Z² * p * (1 - p)) / M.E²

Zcritical at 90% = 1.645

n = (1.645² * 0.58 * 0.42) / 0.03²

n = 0.65918769 / 0.0009

n = 732.43076

n = 732 samples

B.)

If no prior estimate is given, then p = 0.5 ; 1 - p = 1 - 0.5 = 0.5

n = (Z² * p * (1 - p)) / M.E²

Zcritical at 90% = 1.645

n = (1.645² * 0.5 * 0.5) / 0.03²

n = 0.67650625 / 0.0009

n = 751.67361

n = 752 samples

Answer:

4

Step-by-step explanation:

Since each friend wants 4 cookies, and there are 10 friends, there are 10 x 4 = 40 cookies total Moses should buy. Since each cookie box has 10 cookies in it, he should buy 40/10 = 4 total cookie boxes.

Place a point at (0,-5) because that is the y-intercept (the -5 on the vertical line)

Since the slope is negative two which can be re-written as -2/1 (rise/run) you go down two and to the right once or up two and to the left once, it doesn't matter which. Another point can be placed at (1,-7) or (-3,-1), it still doesn't matter which.

Then you can draw a line connecting the two points.

I hope this helps :)

Let me know if you need further explanation

shining dnkxdvsuxnxkjdndnx

Answer:

[see below]

Step-by-step explanation:

Reflection over the x axis is: [tex](x,y)\rightarrow(x,-y)[/tex]

(0, -2) - > (0, 2)

(5, -1) - > (5, 1)

(2, -4) - > (2, 4)

A'B'C'  should be (0,2), (5,1) and (2,4). (Or option B)

Hope this helps.

9514 1404 393

Answer:

  (c)  Yes, SSS

Step-by-step explanation:

The three pairs of corresponding sides have the same ratio:

  12/8 = 15/10 = 21/14 = 3/2

The triangles are similar by SSS.

_____

No angles are shown, so SAS and AAA cannot apply.

Answer:

False, false

Step-by-step explanation:

I’m not 100% sure but I think that’s the correct answer

Answer:

54

Step-by-step explanation:

They are supplementary and add to 180 so subtract 126 from 180 and you get 54

Answer:

[tex]sin(0)=opposite/hypotenuse,cos(0)=adjacent/hypotenuse[/tex]

[tex]sin(60)=\frac{x}{8\sqrt{5} } ,\:\:cos(60)=\frac{y}{8\sqrt{5} }[/tex]

[tex]\frac{\sqrt{3} }{2} =\frac{x}{8\sqrt{5} } \:\:\:\:\frac{1}{2} =\frac{y}{8\sqrt{15} }[/tex]

[tex]2x=8\sqrt{5} \times\sqrt{3} \:\;\:\:2y=1\times8\sqrt{15}[/tex]

[tex]2x=\frac{8\sqrt{15} }{2} \:\:\:\:2y=8\sqrt{15}[/tex]

[tex]x=8\sqrt{15} /2\:\:\: y=8\sqrt{15} /2[/tex]

[tex]x=4\sqrt{15}[/tex]    [tex]y=4\sqrt{15}[/tex]

OAmalOHopeO

Economists found that amount of corruption in a country is correlated to the Gross domestic products of the country.

Whenever there is high corruption in a country it leads to great negative impacts on the economic growth of that country.

The equation represents the the corruption score for every dollar per capita rise.

The slope of the equation will represent the GDP per capita of a country with corruption score of zero.

The correct answer is C.

C. The GDP per capita of a country with a corruption score of zero.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

same as the person above plato 2022'

Answer:

Julio's gross income before the tax deductions is $ 405.

Step-by-step explanation:

Given that Julio has a net pay of $ 537.00 each paycheck, and he pays $ 142.00 in pre-tax deductions and taxes each paycheck, to determine what is Julio's gross income before the tax deductions the following calculation must be performed:

547 - 142 = X

405 = X

Therefore, Julio's gross income before the tax deductions is $ 405.

Answer:

1st option (top left)

Step-by-step explanation:

1st option represents a linear function

y = x/2

Answered by GAUTHMATH

Answer: 262144

Step-by-step explanation: You can calculate & draw it out. Then, add the values in the second-to-bottom row of the picture below.

262144 if I'm correct....

Answer:

16 mls of the 75% solution and 20 mls of the 0.57% solution.

Step-by-step explanation:

Set up a system of equations:

Let x = volume of 75% solution and y be volume of 57% solution

0.75x + 0.57y = 36*0.65

0.75x + 0.57y = 23.4.......(1)

x + y = 36.........(2)

From equation (2):

y = 36 - x

Substituting this into equation(1):

0.75x + (0.57(36 - x) = 23.4

0.75x + 20.52 - 0.57x = 23.4

0.18x = 23.40 - 20.52 = 2.88

x = 2.88/0.18

x = 16

so from equation (2): y = 36-16 = 20.

Answer:

SURE

Step-by-step explanation:

Answer:

y<x

y<4

Step-by-step explanation:

this is because the first line is passing through the point 4 on the y axis but the line drawn isn't a solid line therefore the answer will just be y<4, not less than or equal to.

while for the second line it's cutting the graph into two equal parts,the shaded part represents y<x you can prove it by getting two points on that side of the graph let's say (-5,5)

this will be -5<5..which is right.

I hope this helps

Answer:

648 is the sum of consecutive prime numbers 317 and 331.

The sixth root of 648 begins with 2.941682753. Notice all the digits from 1 to 9 appear somewhere in those nine decimal places. OEIS.org states that 648 is the smallest number that can make that claim.

From Archimedes-lab.org I learned some powerful facts about the number 648:

16² – 17² + 18² – 19² + 20² – 21² +22² – 23² + 24² – 25² + 26² – 27² + 28² – 29² + 30² – 31² + 32² = 648

48² – 47² + 46² – 45² + 44² – 43² +42² – 41² + 40² – 39² + 38² – 37² + 36² – 35² + 34² – 33² = 648

(1^2)(2^3)(3^4) = 648

18² + 18²  = 648

(6^3) + (6^3) + (6^3) =648

REPORT THIS AD



Print the puzzles or type the solution on this excel file: 10 Factors 2015-10-12

—————————————————————————————————

648 is a composite number.

Prime factorization: 648 = 2 x 2 x 2 x 3 x 3 x 3 x 3, which can be written 648 = (2^3) x (3^4)

The exponents in the prime factorization are 3 and 4. Adding one to each and multiplying we get (3 + 1)(4 + 1) = 4 x 5 = 20. Therefore 648 has exactly 20 factors.

Factors of 648: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Factor pairs: 648 = 1 x 648, 2 x 324, 3 x 216, 4 x 162, 6 x 108, 8 x 81, 9 x 72, 12 x 54, 18 x 36, or 24 x 27

Taking the factor pair with the largest square number factor, we get √648 = (√324)(√2) = 18√2 ≈ 25.455844122…

You may need to delete the dollar sign and/or the comma when typing in the answer.

=======================================================

Work Shown:

[tex]A = P*e^{rt}\\\\50,000 = P*e^{0.019*20}\\\\50,000 = P*e^{0.38}\\\\P = \frac{50,000}{e^{0.38}}\\\\P \approx 34,193.0704606\\\\P \approx 34,193.07\\\\[/tex]

Side note: the 'e' is a special constant roughly equal to 2.71828...

The original price of the dress is $294 if the dress is on sale for $98.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

A dress is on sale for $98.

Discount price = (1/3)original price

Let x be the original price of the dress.

We can make a mathematical equation:

(1/3)x = 98

x = $294

Thus, the original price of the dress is $294 if the dress is on sale for $98.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:

There are two points of intersection

(-4,1) and (1,-4)

Step-by-step explanation:

Answer:

the guy above me is correct

Step-by-step explanation:

-7 x 7 = -49

We can first figure out 7 x 7, which will be 49. Once we have that, we can look at our negatives. If we have an odd number of negative signs, the answer will be negative. If we have an even number of negative signs, the answer will be positive. In this case, we only have 1 negative sign, and 1 is odd, therefore our answer will be odd.

ANSWER: -49

Hope this helps!

Answer:

-49

Step-by-step explanation:

i cant find a way to explain but you can count or use a table

Answer:

The first difference is -5. The next term is -31.

Step-by-step explanation:

If you find the difference between -6 and -11, then you get -5.

And, all the other ones also have differences of -5, so basically, the next term is -31.

Thanks! Please mark me Brainliest!

Answer:

===================================================

Explanation:

Pick any term and subtract off the previous term

No matter what we picked, we end up with the same result which is -5. This is the common difference aka first difference.

If this pattern keeps up forever, then the sequence is arithmetic.

And if the pattern keeps up, then the next term would be

term6 = term5 + (common difference)

term6 = -26 + (-5)

term6 = -31

Note: Adding -5 is the same as subtracting 5.

Answer:

m = 20 * n

Step-by-step explanation:

The money that he earns is equal  the amount earned per lawn times the amount of lawns that he mows

m = 20 * n

Answer:

60 = 3 x 20

Step-by-step explanation:

60 = m

3 = c

20 = n

Step-by-step explanation:

A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded