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3 years ago

Write an equation to represent each relationship. Then solve the equation.

Mathematics

1 answer:

Bumek [7]3 years ago

6 0

Answer:

Step-by-step explanation:

Ten less than 3 times a number can be represented as 3n - 10 the number plus 4 is represented as n + 4 the same as means equal so 3n - 10 = n + 4 so combine terms by subtracting an "n" from both sides and adding 10 to both sides so the left side becomes 2n and it equals the right side which becomes 14 so 2n = 14 so n = 7 CHECK YOUR ANSWER BY PLUGGING 7 IN FOR THE NUMBER IN THE ORIGINAL QUESTION 10 LESS THAN 3 x 7 GIVES YOU 11 AND 7 + 4 ALSO GETS YOU 11 SO YOU KNOW THAT 7 IS THE CORRECT ANSWER :) BYEEEE!!!! lol

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nikdorinn [45]

Answer:

Step-by-step explanation:

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3 years ago

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Select the correct answer from each drop-down menu. Shape I is similar to shape II. The sequence that maps shape I onto shape II

AURORKA [14]

Answer:

Scale factor 2.

Step-by-step explanation:

The vertices of shape I are (2,1), (3,1), (4,3), (3,3), (3,2), (2,2), (2,3), (1,3).

The vertices of shape II are (-4,-2), (-6,-2), (-8,-6), (-6,-6), (-6,-4), (-4,-4), (-4,-6), (-2,-6).

Consider shape I is similar to shape II. The sequence that maps shape I onto shape II is a 180 degree clockwise rotation about the origin, and then a dilation by a scale factor of k.

Rule of 180 degree clockwise rotation about the origin:

$(x,y)\rightarrow (-x,-y)$

The vertices of shape I after rotation are (-2,-1), (-3,-1), (-4,-3), (-3,-3), (-3,-2), (-2,-2), (-2,-3), (-1,-3).

Rule of dilation by a scale factor of k.

$(x,y)\rightarrow (kx,ky)$

So,

$(-2,-1)\rightarrow (k(-2),k(-1))=(-2k,-k)$

We know that, the image of (-2,-1) after dilation is (-4,-2). So,

$(-2k,-k)=(-4,-2)$

On comparing both sides, we get

$-2k=-4$

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4 years ago

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Last year, Amanda had

nata0808 [166]

Let $x be invested in the account that paid 5% simple interest.
Let $y be invested in the account that paid 10% simple interest.

The total invested is $10,000, therefore
x + y = 10000            (1)

The interest amounts earned are respectively
x*1*0.06 = 0.06x
y*1*0.10 = 0.10y

The total interest earned is $760, therefore
0.06x + 0.10y = 760
Multiply through by 10 to obtain
0.6x + y = 7600              (2)

Subtract (2) from (1).
x + y - (0.6x + y) = 10000 - 7600
0.4x = 2400
x = $6,000
From )1), obtain
y = 10000 - 6000 = $4,000

Answer:
$6,000 in the account paying 6% simple interest, and
$4,000 in the account paying 10% simple interest.

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3 years ago

6789 divided by 89.65

Sergeeva-Olga [200]

Step-by-step explanation:

75 . 727 is your answer

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Ilya [14]

y/8=x

multiply both sides by 8

y/8×8/1=y

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