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3 years ago

If 6r + 7 = 13 + 7r, then what is the value of 4r ?

Mathematics

2 answers:

lbvjy [14]3 years ago

8 0

Answer:

4r = -24

Step-by-step explanation:

6r + 7 = 13 + 7r

6r = 6 + 7r

-r = 6

r = -6

4r = -24

Assoli18 [71]3 years ago

7 0

Answer:

r=-6

Step-by-step explanation:

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The length of each side of a square is 3 inches more than the length of each side of a small square. The sum of the areas of the

NeX [460]

Answer:

$\text{Smaller square's 15 inches, Bigger square's 18 inches}$

Step-by-step explanation:

GIVEN: The length of each side of a square is $3$ inches more than the length of each side of a small square. The sum of the areas of the square is $549$ inches.

TO FIND: the lengths of the sides of the two squares.

SOLUTION:

let the length of side of small square be $\text{x}$

Area of small square $=(\text{side})^2=\text{x}^2$

As length of each side of bigger square is $3\text{ inches}$ more than the smaller square

length of side of bigger square $=\text{x}+3\text{ inches}$

Area of bigger square $=(\text{x+3})^2$

Also

Sum of areas of both square $=549\text{ inch}^2$

$(\text{x})^2+(\text{x+3})^2=549$

$2\text{x}^2+6\text{x}+9=549$

$\text{x}^2+3\text{x}-270=0$

$\text{x}=15,-18$

as the length of side can never be negative

$\text{x}=15$

length of side of smaller square $=15\text{ inches}$

length of side of bigger square $=\text{x}+3\text{ inches}$ $=18\text{ inches}$

Hence the length of smaller and bigger square are $15\text{ inches}$ and $18\text{ inches}$ respectively.

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3 years ago

The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?

givi [52]

$If\ x\ and\ y\ are\ inversely\ proportional\ then\ xy\ is\ constans.\\\\9y=2\times 3\\\\9y=6\ \ \ \ \ \ /:9\\\\y=\frac{6}{9}\\\\y=\frac{2}{3}$

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4 years ago

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Tju [1.3M]

Answer:

y = 5

Step-by-step explanation:

y = 0x + b

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5 = 0 + b

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3 years ago

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Nikolay [14]

The answer is in the picture

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4 years ago

Does anyone have any Idea how to solve this?

Mariulka [41]

Answer:

x = 12

Step-by-step explanation:

Remark

These two angles are corresponding angles and as such, they are equal.

Equation

8x+ 36 = 5x + 72

Solution

Subtract 5x from both sides

8x - 5x + 36 = 5x - 5x + 72 Combine like terms.

3x + 36 = 72 Subtract 36 from both sides

3x + 36 - 36 = 72 - 36 Collect like terms

3x = 36 Divide by 3

3x/3 = 36/3 Divide

x = 12 Answer

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