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3 years ago

7.75 in expanded form

Mathematics

1 answer:

Elina [12.6K]3 years ago

4 0

Answer: 7+0.7+0.05

Since 7 is in the ones place it goes in front of the decimal. .7 is in the tenth place because it's behind the decimal. .05 is also behind the decimal so it's in the hundredths place.

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How do you divide decimals

velikii [3]

Answer:

Step-by-step explanation:If the number you're dividing by has a decimal, move the decimal point all the way to the right counting the number of places you've moved it to. ...

Insert a decimal point in the quotient (answer) space, exactly above the decimal point in the number under the division bar.

7 0

3 years ago

Which interval is the solution set to 0.35x - 4.8 < 5.2 -0.9x?

8_murik_8 [283]

Answer: $(-\infty, 8)$

Step-by-step explanation:

Given the following inequality:

$0.35x - 4.8 < 5.2 -0.9x$

You need to solve for "x" in order to find the solution.

The steps are:

1. Add $0.9x$ to both sides of the inequality:

$0.35x - 4.8+0.9x < 5.2 -0.9x+0.9x\\\\1.25x-4.8$

2. Add $4.8$ to both sides:

$1.25x-4.8+4.8$

3. Divide both sides by $1.25$ :

$\frac{1.25x}{1.25}$

Notice that "x" is less than 8. This indicates that 8 is not included in the solution and you must use parentheses.

The solution in Interval notation is:

$(-\infty, 8)$

8 0

3 years ago

Read 2 more answers

4. A number m is such that when it is divided by 30, 36, and 45 the remainder is always 7,

Bezzdna [24]

Answer:

187

Step-by-step explanation:

A number m is such that when it is divided by 30, 36 and 45 the remainder is always 7.

We should first find the LCM of 30, 36 and 45

We get that the LCM of the three numbers is 280 (working attached).

So now;

$\frac{180}{30}$ = 6

$\frac{180}{36}$ = 5

$\frac{180}{45}$ = 4

But we need a number that leaves a remainder of 7 so we add 7 to 180 to get; 180 + 7 = 187.

5 0

3 years ago

How can sums and differences of cubes be identified for factoring?

Ad libitum [116K]

The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)

Example for the sum of cubes:

64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers

By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)

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The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)

Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
= (5x - 2y) (25x² + 10xy + 4y²)

7 0

3 years ago

A cement walk 3 ft wide is placed around the outside of a rectangular garden plot that is 20ft by 30ft. Find the cost of the wal

Inessa05 [86]

Let us calculate the area of the walk.

Since the width of the walk is 3 feet, and the walk will be placed all the 4 sides,

Length of the plot including walk = 20 + (2 × 3) = 20 + 6 = 26 feet.

Breadth of the plot including walk = 30 + (2 × 3) = 36 feet.

Area of the plot including walk = 26 × 36 square feet.

Area of the plot = 20 × 30 square feet.

Area of the walk = (26 × 36) - (20 × 30)

= 936 - 600

= 336 square feet.

= $\frac{336}{3(3)}$ square yards

= 37.3 square yards

Cost of the walk per square yard = $12.25.

Therefore, total cost of the walk = 12.25 × 37.3 = $456.92.

7 0

3 years ago