MATHEMATICS MIDDLE SCHOOL

What is the LCM of 2,6,18 and 21

Answers

Answer 1
Answer:

Answer:

126

Step-by-step explanation:

2 x 3 x 3 x7 = 126

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a car dealership has 24 sedans and 18 sports cou[es on its lot. what is the ratio of sedans to sports coupes on the lot? a.3:2.B.3:4. C.2:3.D.4:3.

Answers


Straight from the question, the ratio is  24/18 .

That can be simplified if we can find a common factor
of both numbers.

They have common factors of  1,  2,  3,  and  6 .

Divide the top and bottom by  6, and the simplified form is  4/3 .
 
Sedans: sports coupes= 24:18
= 24/18
= (24/6) / (18/6)
= 4/3
= 4:3

The final answer is D. 4:3~

Jamie has a board that is 8 feet long. He cuts the board into three equal pieces. How long is each piece

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so picture a 8feet long board, and you basically cut it into 3 equal pieces as it says. so you should set it up as 8/3 which is 2.6666666. so you can round that up by 2.67 per each equal pieces.
Divide 8 into 3 pieces (this can be set out as 8/3) and you get 2.6666... Or you can round it up to 2.7.

If 4x + 5y =10 and x + 3y = 8, then (5x+8y)/3(A) 18
(B) 15
(C) 12
(D) 9
(E) 6

Answers

\left \{{ \big{4x + 5y =10} \atop \big{x + 3y = 8}} \right.\n-----------\n4x+5y+x+3y=10+8\n5x+8y=18\n\n \frac{\big{ 5x+8y}}{\big{3}}=\frac{\big{ 18}}{\big{3}}=6\ \ \ \Rightarrow\ \ \ Ans.\ E
\left \{ {{4x + 5y =10} \atop {x + 3y = 8}} \right. \Rightarrow \n \n \left \{ {{4x + 5y =10} \atop {(-4)x + (-4).3y = (-4)8}} \right. \Rightarrow \n \n \left \{ {{4x + 5y =10} \atop {-4x -12y = -32}} \right. \Rightarrow \n \n \n 5y-12y=10-32 \Rightarrow \n \n -7y=-22\Rightarrow \n \n y= (22)/(7)

y= (22)/(7) \wedge x+3y=8\Rightarrow \n \n x+3.(22)/(7)=8\Rightarrow - (10)/(7)

(5x+8y)/(3) = \n \n (5(- (10)/(7))+8.(22)/(7))/(3) = \n \n ( -(50)/(7)+ (176)/(7))/(3)= \n \n ( (126)/(7))/(3) = (18)/(3)=6

The radius of a circle is 4. The diameter is 8. The radius of a triangle is 8. The diameter is 16. Which shape has the least amount of square feet?

 

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The circle has the least amount of feet

Three months ago , santos could walk 2 miles in 40 minutes. Today he can walk 2 miles in 25 minutes. What is the percent change?

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Answer:

37.5%

Step-by-step explanation:

first work out the difference between the two numbers,

then divide the decrease by the OG number (40)

and multiply the answer by 100

Solve for y.
8^3-3y=256^4y

Answers

8^(3-3y)=256^(4y)\n\n(2^3)^(3-3y)=(2^8)^(4y)\n\n2^(3(3-3y))=2^(8\cdot4y)\n\n2^(9-9y)=2^(32y)\iff9-9y=32y\n\n-9y-32y=-9\n-41y=-9\ \ \ \ /:(-41)\n\ny=(9)/(41)
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