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3 years ago

Simplify 3(x+7)-2(4x-3)=

Mathematics

2 answers:

Diano4ka-milaya [45]3 years ago

8 0

Answer: 11x+15

Step-by-step explanation:

3(x+7) -2 (4x-3)=

3x+21 - 8x-6

+8 +8

11x+21-6=

11x+15=

Andre45 [30]3 years ago

4 0

Answer:

−5x+27

Step-by-step explanation:

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An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 340 feet of antique

KIM [24]

Answer:

The dimensions of the garden is 102 feet by 68 feet

Step-by-step explanation:

Here, we want to get the width and length of the garden

The perimeter is represented by the length of the fencing

From the question;

w = 2l/3

The formula for the perimeter is;

P = 2(l + w)

Thus;

340 = 2(l + 2l/3)

170 = (l + 2l/3)

Multiply through by 3

510 = 3l + 2l

5l = 510

l = 102 feet

w = 2/3 * l

w = 2/3 * 102

w = 68 feet

7 0

3 years ago

There are 150 oranges, apples and pears in a box. The ratio of the number of oranges to the number of apples is 3:5 and the rati

Rom4ik [11]

Answer:

Pears: 30

Step-by-step explanation:

Constant:

3x + 5x + 2x = 150

10x = 150

x = 15

Multiply ratio with constant from above:

oranges : apples

3 * 15 : 5 * 15

45 : 75 ==> 45 oranges: 75 apples

pears : apples

2 * 15 : 5 * 15

30 : 75 ==> 30 pears: 75 apples

Check:

45 oranges + 75 apples + 30 pears = 150 fruits

4 0

2 years ago

Make an approximate conversion from English to metric. <br><br> 9 ft to meters

Anna71 [15]

Answer:

2.7 meters

Step-by-step explanation:

I hope this helped

4 0

3 years ago

THE SHINKANSEN PASSENGER TRAIN OF JAPAN TRAVELS AT A RATE

OlgaM077 [116]

Answer:

srry need points

Step-by-step explanation:

r u sure thats college work

8 0

3 years ago

Find the product of all real values of r for which 1/2x=r-x/7

Dahasolnce [82]

Answer:

$r = \±\sqrt{14$

$Product = -14$

Step-by-step explanation:

Given

$\frac{1}{2x} = \frac{r - x}{7}$

Required

Find all product of real values that satisfy the equation

$\frac{1}{2x} = \frac{r - x}{7}$

Cross multiply:

$2x(r - x) = 7 * 1$

$2xr - 2x^2 = 7$

Subtract 7 from both sides

$2xr - 2x^2 -7= 7 -7$

$2xr - 2x^2 -7= 0$

Reorder

$- 2x^2+ 2xr -7= 0$

Multiply through by -1

$2x^2 - 2xr +7= 0$

The above represents a quadratic equation and as such could take either of the following conditions.

(1) No real roots:

This possibility does not apply in this case as such, would not be considered.

(2) One real root

This is true if

$b^2 - 4ac = 0$

For a quadratic equation

$ax^2 + bx + c = 0$

By comparison with $2x^2 - 2xr +7= 0$

$a = 2$

$b = -2r$

$c =7$

Substitute these values in $b^2 - 4ac = 0$

$(-2r)^2 - 4 * 2 * 7 = 0$

$4r^2 - 56 = 0$

Add 56 to both sides

$4r^2 - 56 + 56= 0 + 56$

$4r^2 = 56$

Divide through by 4

$r^2 = 14$

Take square roots

$\sqrt{r^2} = \±\sqrt{14$

$r = \±\sqrt{14$

Hence, the possible values of r are:

$\sqrt{14$ or $-\sqrt{14$

and the product is:

$Product = \sqrt{14} * -\sqrt{14}$

$Product = -14$

8 0

3 years ago