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4 years ago

6 2/3 equal to how many 12th?

Mathematics

2 answers:

zaharov [31]4 years ago

6 0

Answer:

80/12

Step-by-step explanation:

4x3=13

2x4=8

6x12=72

72+8=80

80/12

slega [8]4 years ago

3 0

80/12 but as a mixed number it would be 6 8/12

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The sum of the 6th and seventh terms in a sequence of 12 numbers with a common difference is 16. What is the Sum of the number s

patriot [66]

Answer:

Step-by-step explanation:

commom difference = d

a₆ + a₇ = 16

a₅ + a₈ = (a₆ - d) + (a₇ + d) = a₆ + a₇ = 16

a₄ + a₉ = (a₆ - 2d) + (a₇ + 2d) = a₆ + a₇ = 16

Similarly,

a₃ + a₁₀ = 16, a₂ + a₁₁ = 16, a₁ + a₁₂ = 16

a₁ + a₂ + ... + a₁₁ + a₁₂ = 6 x 16 = 96

6 0

2 years ago

ΔCAR has coordinates C (2, 4), A (1, 1), and R (3, 0). A translation maps point C to C' (3, 2). Find the coordinates of A' and R

shutvik [7]

Answer:

$A'= (2,-1)$ and $R'=(4,-2)$ under this translation.

Step-by-step explanation:

A translation in $R^{2}$ is a mapping T from $R^{2}$ to $R^{2}$ defined by $T(x,y) = (x + v_1,y+v_2)$ , where $v=(v_1,v_2)$ is a fixed vector in $R^{2}$ .

From the problem we know that $T(2,4)=(3,2)$ , so we need to find the values $v_1$ and $v_2$ such that $T(2,4) = (2 + v_1,4+v_2)=(3,2)$ , so $3=2 + v_1$ and $4+v_2=2$ , thus $v_1=1$ and $v_2=2$ .

Then $T(x,y) = (x + 1,y-2)$ and

$T(1,1)=(1+1,1-2)=(2,-1)=A'$

$T(3,0)=(3+1,0-2)=(4,-2)=R'$

Therefore $A'= (2,-1)$ and $R'=(4,-2)$ . The triangles CAR and C'Q'R' are shown in the figure below.

7 0

3 years ago

Solve step - by - step.<br> 5b-1>=-11<br><br> Plz help!

maks197457 [2]

It would -2 because you have to bring over the -1 on the other side of the equal sign. so you would do -11 plus 1 and you will get -10 then you would 5b÷-10 (simplify).5b=-10
b=-2

7 0

3 years ago

Read 2 more answers

help me the area of a rectangular roof of a doghouse is 756 square inches. the length of the roof is 108 inches. how many inches

Andrei [34K]

$A=L*w \\ A=756 \ square \ inches \\L=108 \ inches \\ \\ 108*w=756 =>w=756:108 \\ \\ w=7 \ inches$