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3 years ago

7x-7=2x-1 what is x please help

Mathematics

2 answers:

Anika [276]3 years ago

6 0

Answer:

7x+=2x-1

7x+2x=7+1

9x=8

x=9-8

x=1

Paraphin [41]3 years ago

4 0

Answer:

x= 1.2

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

Step 2: Add 7 to both sides.

Step 3: Divide both sides by 5.

Hope this helped :)

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A rectangular plot of land is to be enclosed by a fence. One side is along a river, and does not need to be enclosed. If the tot

Bad White [126]

Answer:

Width 150 meters.

Length = 350 meters.

Step-by-step explanation:

Let us assume the width of the fence = k meters

So, both sides = k + k = 2k meters

Also, the TOTAL fencing length = 600 m

So, the one side length of the fence = (600 - 2 k) meters

AREA = LENGTH x WIDTH

⇒ A(k) = (600 - 2k) (k)

or, A = -2k² + 600 k

The above equation is of the form: ax² +bx + C

Here: a = - 2 , b = 600 and C = 0

As a< 0, the parabola opens DOWNWARDS.

Here, x value is given as: $x = \frac{-b}{2a}$

Solving for the value of k similarly, we get:

$k = \frac{-b}{2a} = \frac{600}{2(-2)} = 150$

Thus the desired width = k = 150 meters

So, the desired dimensions of the plot is width 150 meters.

And length = 650 - 2k = 650 - 300 = 350 meters.

5 0

3 years ago

Can y’all please help me answer these questions

mario62 [17]

Step-by-step explanation:

⇒ $V = \pi r^{2}h$

⇒ $V = \pi(10)^{2}(40)$

⇒ $V = 4000\pi$

⇒ $V = 12566.4cm^{3}$

⇒ $V = \frac{1}{3}\pi r^{2}h$

⇒ $V = \frac{1}{3}\pi (8)^{2}(h)$

As we know the radius and slant height, we can use Pythagoras' Theorem to find the perpendicular height.

⇒ $a^{2} + b^{2} = c^{2}$

⇒ $(8)^{2} + h^{2} = 20^{2}$

⇒ $h = \sqrt{20^{2} - 8^{2}}$

⇒ $h = 4\sqrt{21}$

Now substitute this into the volume formula.

⇒ $V = \frac{1}{3}\pi (8)^{2}(4\sqrt{21})$

⇒ $V = \frac{256\sqrt{21} }{3}\pi$

⇒ $V = 1228.5mm^{3}$

⇒ $V = l^{3}$

⇒ $V = (3.1)^{3}$

⇒ $V = 29.8inches^{3}$

⇒ $V = \frac{1}{3}lwh$

⇒ $V = \frac{1}{3}(12)(4)(6)$

⇒ $V = 96inches^{3}$

6 0

3 years ago

Read 2 more answers

What is the approximate area of the circle that fits perfectly inside of the square? Use Pi = 3.14 and round to the nearest tent

Pani-rosa [81]

Answer:

$19.625\text{ cm}^2$

Step-by-step explanation:

GIVEN: A square with base $5\text{ cm}$ , a circle that perfectly fits inside square.

TO FIND: Approximate area of circle.

SOLUTION:

Consider the figure attached.

let the radius of circle be $x\text{ cm}$

radius of circle $=\frac{\text{length of base of square}}{2}$

$x=\frac{5}{2}\text{ cm}$

$x=2.5\text{ cm}$

Area of circle $=\pi(radius)^2$

$=3.14\times(2.5)^2$

$=19.625\text{ cm}^2$

Hence the area of circle that perfectly fits inside the square is $19.625\text{ cm}^2$

6 0

4 years ago

Read 2 more answers

WHICH PROPERTY IS BEING USED IN THE FOLLOWING? <br><br>15 × 1 = 15

Andrews [41]

Answer:

This is the Idenity Property

Step-by-step explanation:

The Identity Property for multiplication states that anything times 1 is the same number.

3x1=3, and 8192x1=8192 (Do you play 2048?)

The zero property: Anything multiplied by zero is zero.

1000000000000000000000000000000x0=0, 4096 x 0 = 0, and so on.

The associative property: Any where numbers are grouped in parenthesis or brackets, you still get the same answer.

(6 x 7) x 78 is the same as 6 x (7 x 78)

The commutative property: When you switch the order of numbers, you get the same answer.

256 x 32 is the same as 32 x 256

4 0

3 years ago

Tammy figured her math exam would be difficult unless she put in at

Ludmilka [50]

Answer: No, she did not study for at least 15 hours.

=======================================================

Explanation:

Fractions are often a pain, so I find it easier to convert to decimal form whenever possible.

1/2 = 0.5

3/4 = 0.75

which lead to,

2 & 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5

4 & 3/4 = 4 + 3/4 = 4 + 0.75 = 4.75

4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5

-----------------------------

We can then rephrase the problem like so:

"She studied 2.5 hours on Monday, 3 hours on Tuesday, 4.75 hours on Wednesday, and 4.5 hours on Thursday"

Add up those decimal values to get:

2.5 + 3 + 4.75 + 4.5 = 14.75

In total, Tammy studied for 14.75 hours, which is equivalent to 14 & 3/4 hours.

This result is smaller than 15, so she did <u>not</u> study for at least 15 hours.

Note: "at least 15" is the same as saying "15 or more".

6 0

3 years ago