When using order of operations to simplify expressions

Find the distance between the points (-3, 11) and (5, 5).<br><br> 10<br> 2<br> 2

yanalaym [24]

Use the distance formula to find the distance between two points.

$d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$d= \sqrt{(-3-5)^2+(11-5)^2} \\ d - \sqrt{-8^2+6^2} \\ d=\sqrt{64+36} \\ d = \sqrt{100} \\\\ \boxed{d=10}$

4 0

2 years ago

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Hi I’m new can someone help me on this (PLZ NO LINKS)

Ymorist [56]

Complementary angles add up to 90 degrees.
So to find A you would need to add A and B together and equal it to 90 (3x+25+5x-7=90)
Combine like terms together (8x+18=90)
Subtract 18 from night sides (8x=72)
Divide by 8 on both sides (x=9)
Then to find A substitute x into its equation (3(9)+25)=(27+25)=52

A=52 I think

7 0

2 years ago

A shipping box is shaped like a rectangular prism. The box is 1 1/5 feet wide, 3 feet long, and 4 1/2 feet tall. What is the vol

Goshia [24]

Answer:

4.95

Step-by-step explanation:

8 0

2 years ago

Solve for b2 in A = 1/2 h ( b1 + b2 ), if A = 16, h = 4, and b1 = 3.

Katarina [22]

Hello from MrBillDoesMath!

Answer:

b2 = 5

Discussion:

A = 1/2 h (b1 + b2) .

Substituting A = 16, h = 4, and b1=3 in the above formula gives:

16 = (1/2) (4)( 3 + b2) => (as (1/2)4 = 2) )

16 = 2 ( 3 + b2) => (divide both sides by 2)

8 = (3 + b2) => (subtract 3 from both sides)

8-3 = b2 =>

5 = b2

Check Area formula:

Does A = 16 = (1/2)(4)(3+5) ?

Does 16 = (1/2) (4)(8) ?

Does 16 = (1/2)(32) ? Yes it does so our calculation for b2 is correct

Thank you,

MrB

7 0

2 years ago

Javier and his friends go out to eat. The restaurant they chose automatically adds a 15% gratuity to their food bill since they

siniylev [52]

well, we know that 213.90 includes the 15% gratuity, so if the meal price was say "x", namely that is the 100%, and we add 15% to that, then 100% + 15% = 115%, so 213.90 is really the 115%.

now, if 213.90 is the 115.%, what is "x"? the 100%.

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 213.90&115\\ x&100 \end{array}\implies \cfrac{213.9}{x}=\cfrac{115}{100}\implies 21390=115x \\\\\\ \cfrac{21390}{115}=x\implies 186=x$

so since we know the meal without the tip is 186 bucks, the tip was then 213.90 - 186 = 27.90.

but they got extra potato wedges with butter and the waitress was wearing her best hat, they added $20 more, so the tip ended up as 27.90 + 20 = 47.90.

now, if the cost of the meal was $186 and that is the 100%, what is 47.90 off of it in percentage?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 186&100\\ 47.90&x \end{array}\implies \cfrac{186}{47.90}=\cfrac{100}{x}\implies 186x=4790 \\\\\\ x=\cfrac{4790}{186}\implies x\approx \stackrel{\%}{25.75}$

7 0

2 years ago

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