MATHEMATICS HIGH SCHOOL

(2x -2 1/5 - -4) ÷ -5

Answers

Answer 1

Answer:

Answer:

(-2x ÷ 5) - (9/5 ÷ 5) = -2/5 * x - 9/25

Step-by-step explanation:

To solve the expression (2x - 2 1/5 - -4) ÷ -5, we need to follow the order of operations, also known as PEMDAS.

1. First, simplify the expression inside the parentheses (-2 1/5 - -4).

To subtract a negative number, we can change it to addition. So, (-2 1/5 - -4) becomes (-2 1/5 + 4).

Next, let's convert the mixed number -2 1/5 to an improper fraction.

-2 1/5 = -11/5

Now we can add the fractions: -11/5 + 4.

To add these fractions, we need a common denominator. The least common denominator for 5 and 1 is 5.

-11/5 + 4/1 = -11/5 + 20/5 = 9/5

Therefore, (-2 1/5 - -4) simplifies to 9/5.

2. Now, let's substitute the simplified expression back into the original expression: (2x + 9/5).

3. Finally, divide the expression by -5: (2x + 9/5) ÷ -5.

To divide by a negative number, we can multiply the expression by -1 and then divide by 5.

(2x + 9/5) ÷ -5 = (-1)(2x + 9/5) ÷ 5

Applying the distributive property, we get:

(-1)(2x + 9/5) ÷ 5 = (-2x - 9/5) ÷ 5

To divide by 5, we can multiply each term by 1/5:

(-2x - 9/5) ÷ 5 = (-2x ÷ 5) - (9/5 ÷ 5)

Simplifying further:

-2x ÷ 5 = -2/5 * x

9/5 ÷ 5 = 9/25

Therefore, the final answer is:

(-2x ÷ 5) - (9/5 ÷ 5) = -2/5 * x - 9/25

Please note that this is the simplified form of the expression, assuming that no specific value for x is given.

Answer 2

Answer: the answer is -10x+9/25

Related Questions

Which is f(5) for the function –2x2 + 2x – 3?
Find the value of x in this polygon.
Solve for the value of x
A store is having a BOGO (buy one get on half off) sale. A customer buys 2 products that cost $40 and $30. Determine the total cost for the 2 items
I need help with this please. I need this to pass.

A blimp can be seen flying at an altitude of 5500 feet above a motor speedway during a race. The slanted distance directly to the pagoda at the startdashfinish line is d feet. Express the horizontal distance h as a function of d.

Answers

Answer:

The expression of h as function of x is h = $√((d + 5500) (d - 5500))$

Step-by-step explanation:

Given as :

The distance of blimp (AB) = 5500 feet

The slanted distance to the pagoda (BC) = d feet

The horizontal distance (AC) = h

Let the angle made between slanted distance and horizontal distance be Ф

So , cos Ф = $(AC)/(BC)$ = $(h)/(d)$

And sin Ф = $(AB)/(BC)$ = $(5500)/(d)$

∵, cos²Ф = 1 - sin²Ф

So, $((h)/(d))^(2)$ = $1 - ((5500)/(d))^(2)$

Or, $((h)/(d))^(2)$ = $((d^(2)- 5500^(2))/(d^(2)))$

Or, h² = d² - 5500²

∴ h = $\sqrt{d^(2)- 5500^(2)}$

Or, h = $√((d + 5500) (d - 5500))$

Hence The expression of h as function of x is h = $√((d + 5500) (d - 5500))$ Answer

Use the given information to write the equation of the line.
slope 2, y-intercept - 4

Answers

Answer : y = 2x - 4

Hope this helps (:

Round the fraction to the nearest whole number.
2/9

Answers

The answer should be zero, because 2/9 equals .22 repeating

If √5 - x = 4,then x=
i need help on here how to solve it

Answers

Professor Dan Healy, one of my Engineering instructors back in prehistoric times, had a favorite way of showing us how to do this kind of problem ... I mean the kind that's incredibly easy, but your own fear gets in the way and convinces you that you can't handle it. Here is Prof. Healy's method.

For a few moments, call the square root of 5 by the name "cow".

cow - x = 4 . Solve this equation for 'x' :

Add 'x' to each side of the equation: cow = 4 + x

Subtract 4 from each side: cow - 4 = x

Now, we can put the real value back in place of 'cow' : √5 - 4 = x

That right there is a perfect solution. But If you absolutely need to
know the number, then grab your calculator:

√5 = 2.2361 (rounded)

x = √5 - 4 = 2.2361 - 4 = -1.7639 (rounded)

$\sqrt5-x=4\n x=\sqrt5-4$

The price of gravel is $24 for every 3/8 ton. kate wants to know the price of 2 tons of gravel

Answers

The price of 2 tons of gravel is $128.

Given:

The price of gravel is $24 for every $(3)/(8)$ ton.

To find:

The price of 2 tons of gravel.

Explanation:

Let $x$ be the price of 1 ton of gravel.

Then the price of $(3)/(8)$ ton is $(3)/(8)x$ and the price of 2 tons of gravel is $2x$ .

It is given that the price of gravel is $24 for every $(3)/(8)$ ton.

$(3)/(8)x=24$

$x=(8)/(3)* 24$

$x=8* 8$

$x=64$

Now, the price of 2 tons of gravel is:

$2x=2(64)$

$2x=128$

Therefore, the price of 2 tons of gravel is $128.

Learn more:

brainly.com/question/17592695

Answer:

$128

Step-by-step explanation:

your looking for 16/8, divide 16 by 3, leaving you with 5.333...

now times that by $24, and you have your answer hope this helps

Use cross products to demonstrate whether the two ratios are equivalent in this problem: 4 over 6 times 14 over 21

Answers

Determine if the two ratios are equivalent in this problem

The two ratios are equivalent

Given:

4 over 6 times 14 over 21

Times mean multiplication (×) in mathematics

Over means division (÷ or /) in mathematics

So,

4 over 6 times 14 over 21

= 4/6 × 14 / 21

Equate both ratio

4/6 = 14/21

cross product

(4 × 21) = (6 × 14)

84 = 84

Therefore, the two ratios are equivalent

brainly.com/question/24425126

4/6 = 14/21When using cross product always multiply the left fractions numerator times the right side fractions denominator and the left side fractions denominator times the right side fractions numerator4×21 = 6×1484=84They are equivalent because they both equal 84

Other Questions

7. In right triangle BCD, BD12, mLC 90, andmLDBC47. Find DC to the nearest tenth47

Find the distance between the pair of parallel lines, y = -2x+1 & y = -2x+16.

Find x if f(x) = 2x + 7 and f(x) = -1.

A catering service offers 12 appetizers, 9 main courses, and 7 desserts. A banquet chairperson is to select 8 appetizers, 8 main courses, and 6 desserts for a banquet. In how many ways can this be done?