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2 years ago

Question 4

Mathematics

1 answer:

stealth61 [152]2 years ago

3 0

Question 4:
2x-3
Because we don’t know how much Fernando has that would be where we fill in the variable giving you 2x then 3 dollars less will give you the -3 therefore 2x-3
Question 5:
1/2x+7
Because we don’t know Deb’s age that would be the variable and we are looking for half of Deb’s age giving you 1/2x then the 7 years more giving you the +7 hence 1/2x+7

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Solve for x: 3x − 2 > 5x + 10. (5 points) 1) x > 6 2) x −6

san4es73 [151]

Answer:

$x$

Step-by-step explanation:

$3x-2>5x+10$

Add 2 to both sides

$3x-2+2>5x+10+2$

Simplify

$3x>5x+12$

Subtract $5x$ from both sides

$3x-5x>5x+12-5x$

Simplify

$-2x>12$

Multiply both sides by $-1$ (reverse the inequality)

$(-2x)(-1)$

Simplify

$2x$

Divide both sides by $2$

$\frac{2x}{2}$

Divide the numbers: $\frac{2}{2} =1$

$=x$

Divide the numbers: $\frac{-12}{2}$

Apply fraction rule: $\frac{-a}{b} =-\frac{a}{b}$

$=\frac{12}{2}$

Divide the numbers: $\frac{12}{2} =6$

$=-6$

$x$

7 0

3 years ago

Read 2 more answers

John wants to find the center of a wall so he can hang a picture. He measures the wall and determines it is 65.25" wide. 65.25"

antiseptic1488 [7]

Option B is correct.

John wants to find the center of a wall so he can hang a picture. He measures the wall and determines it is 65.25" wide.

Here, 65.25" is Quantitative, continuous

There are two types of quantitative data or numeric data: continuous and discrete.

As a general rule, counts are discrete and measurements are continuous. A continuous data can be recorded at many different points (length, size, width, time, temperature, etc.)

So, option B is the answer.

3 0

3 years ago

The perimeter is 60 cm long how long is one side of the square

Yuri [45]

Answer:

15cm

Step-by-step explanation:

All you need to do for this is divide the perimeter (60) by the number of sides on a square (4). 60÷4=15

5 0

3 years ago

Read 2 more answers

A triangle has sides with lengths of 4 inches, 14 inches, and 17 inches. Is it a right triangle?

irga5000 [103]

Yes it is because 2 sides would be the legs while 1 side is the hyptonuese so in this case 4 is a leg and 14 and 17 is the hyptonuese

5 0

2 years ago

A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated

zysi [14]

Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = ± √9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)

8 0

3 years ago