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german
2 years ago
9

*40 POINTS* and BRAINLIEST for correct answer

Mathematics
2 answers:
trasher [3.6K]2 years ago
7 0

Answer:

x^2+23x+49

Step-by-step explanation:

The formula for the area of a rectangle typically is lw, where l is length and w is width. The area of the big rectangle is (x+10)(2x+5)=2x^2+25x+50 units. The area of the square cut out inside is (x+1)(x+1)=x^2+2x+1 units. Subtracting the second expression from the first, you get x^2+23x+49. Hope this helps!

Mekhanik [1.2K]2 years ago
7 0

Answer:

x^2+23X+49

Step-by-step explanation:

shown in picture above

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X + y = 152,<br><br> 8.5x + 12y = 1,656<br><br> How many hats were sold?
Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

x+y = 152\\8.5x+12y=1656

From equation 1:

x = 152-y

Putting the value of y in equation 2

8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

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Drinking eight fluid ounces of milk provides 270 mg of calcium. How many fluid ounces of milk provides 72.5 mg of calcium? Round
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Step-by-step explanation:

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[20 pts] evaluate the logarithm log(6)1/36​, show work pls!
Delvig [45]

Answer:

\large\boxed{\log_6\dfrac{1}{36}=-2}

Step-by-step explanation:

\text{We know:}\\\\\log_ab=c\iff a^c=b\\\\\log_6\dfrac{1}{36}\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\=\log_636^{-1}=\log_6(6^2)^{-1}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\log_66^{(2)(-1)}=\log_66^{-2}\qquad\text{use}\log_ab^n=n\log_ab\\\\=-2\log_66\qquad\text{use}\ \log_aa=1\\\\=-2(1)=-2

\log_6\dfrac{1}{36}=-2\ \text{because}\ 6^{-2}=\dfrac{1}{6^2}=\dfrac{1}{36}

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3 years ago
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