A color printer prints 24 pages in 7 minutes. how many pages does it print per minute?

Answer: [tex]-2\dfrac{1}{10}[/tex]

Step-by-step explanation:

The given expression to simplify : [tex]5\dfrac{1}{4}\div-2\dfrac{1}{2}[/tex]   (i)

First we convert mixed fraction into improper fraction as :

[tex]5\dfrac{1}{4}=\dfrac{5\times4+1}{4}=\dfrac{20+1}{4}=\dfrac{21}{4}[/tex]

[tex]-2\dfrac{1}{2}=-\dfrac{2\times2+1}{2}=-\dfrac{4+1}{2}=\dfrac{-5}{2}[/tex]

Now , put them in (i) , we get

[tex]\dfrac{21}{4}\div\dfrac{-5}{2}[/tex]

[tex]=\dfrac{21}{4}\times\dfrac{-2}{5}=\dfrac{-21}{10}=-\dfrac{20+1}{10}=-2\dfrac{1}{10}[/tex]

Hence, the required answer is [tex]-2\dfrac{1}{10}[/tex].

Final answer:

If x doubles and y is inversely proportional to x, then y will become half of its original value, as per the inverse proportionality relation y = k/x.

Explanation:

When variables y and x are inversely proportional, this means that as one value increases, the other value decreases. The relationship between y and x in this case is represented by the equation y = k/x, where k is the proportionality constant. If the value of x doubles, looking at the relationship expressed by the inverse proportionality equation, the value of y will decrease by half.

So, if x becomes 2x, then y becomes k/(2x), which is half the value of the original y if we assume that k is constant. This is reflective of the more-less relationship inherent to inverse proportionality, where increased values of one variable lead to decreased values of the other.

We are given a parent function f(x) as:

       [tex]f(x)=\dfrac{1}{x}[/tex]

and the transformed function g(x) is given by:

       [tex]g(x)=\dfrac{1}{x+4}-6[/tex]

We know that the transformation of the type:

     f(x) → f(x+a)

is either a shift a units to the left or to the right depending whether a is positive or negative respectively.

Also, the transformation of the type:

   f(x) → f(x)+a

is the shift of the function f(x) either upward or downward depending on whether x is positive or negative respectively.

Here the function g(x) is:

     [tex]g(x)=f(x+4)-6[/tex]

This means that the function g(x) is a shift of the function f(x) 4 units to the left and then it is translated 6 units downward.

Also we may see by the graph.

Answer:

Lexi will use [tex]\frac{5}{6}[/tex] pounds of seeds.

Step-by-step explanation:

Lexi has planted seeds in [tex]\frac{3}{5}[/tex] of the garden. We know that to plant that part she used [tex]\frac{1}{2}[/tex] pound of seeds.

The entire garden is [tex]\frac{5}{5}=1[/tex].

Then if you multiply [tex]\frac{1}{2}[/tex] in [tex]\frac{5}{5}=1[/tex] and then divide the result in [tex]\frac{3}{5}[/tex] you will obtain how many pounds will she use for the entire garden. (It's a rule of three)

[tex](1).\frac{1}{2} :\frac{3}{5}=\frac{1}{2} :\frac{3}{5}=\frac{5}{2.3}=\frac{5}{6}[/tex]

Lexi will use [tex]\frac{5}{6}[/tex] pounds of seeds.

Answer:

D inverse property

Step-by-step explanation:

x=1+2i

y=-1-2i

Both x and y are complex numbers with both real and imaginary parts.

x+y = (1+2i) + (-1-2i)

= 1 + 2i - 1 - 2i

= (1 - 1) + (2i-2i)

= 0 + 0 = 0

Since the two given complex numbers add up to 0, this means that each number is the additive inverse of the other.

So x is the inverse of y and y is the inverse of x.

Among the given options, option D , namely, inverse property is the correct one.

He needs to sell $400,000 worth of goods.

Base salary = $30000

Percent Commission = 5%

Let the amount of goods that need to be sold be represented by x

Therefore, the equation will be:

30000 + (5% × x) = 50000

30000 + (0.05 × x) = 50000

30000 + 0.05x = 50000

Collect like terms

0.05x = 50000 - 30000

0.05x = 20000

x = 20000/0.05

x = 400000

Therefore, he needs to sell $400,000 worth of goods.

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Answer:

for plato it is graph A it goes with the first answers graph

Step-by-step explanation:

Answer:

1. Two

2. Line

Step-by-step explanation:

Two out of the five axioms of the Euclidean Geometry are:

1. A straight line can be drawn between any two points.

2. Any straight line can be extended infinitely.

So, from the above axioms, we get that 'If two points lie in a plane, a straight line can be drawn between those points and that line can be extended indefinitely in that plane'.

Hence, 'If TWO points lie in a plane, the LINE containing those points also lie in the same plane'.

3^4 = 3*3*3*3 = 81

3^2 = 3*3 =9

81/9 = 9

 Answer is B. 9

Answer:

The answer is B,A

Step-by-step explanation:

In geometry, an equilateral triangle is a triangle in which all three sides have the same length

Answer:true

Step-by-step explanation:

Answer:

9-5/4-0

Step-by-step explanation:

from the problem m = 1/2

point slope =

y -2 = 1/2(x+8)

Answer:

5.5

Step-by-step explanation:

Answer:

441 cm

Step-by-step explanation:

Answer:

$5,000 in sales

Step-by-step explanation:

dividing the annual salary by 12 to find how much she makes in a month:

48,000/12 = $4,000

If she wants to make $6,000 this month, she needs

6,000 - 4,000 = $2,000 in comissions

$2,000 is the 4% of how much she made in sales.

denoting the total of sales by x:

4%x = 2,000

---> 0.04x = 2,000

this makes x = 2,000/0.04

--> x = $50,000

So to get a moth salary of $6,000 she needs to have $5,000 in sales

Answer:

Step-by-step explanation:

your answer is d

A kite is a quadrilateral with four sides that may be divided into two adjacent pairs of equal-length sides. The total length of ribbon that is needed to line the two long sides of the hat is 22 inches.

A kite is a quadrilateral with four sides that may be divided into two adjacent pairs of equal-length sides. A parallelogram, on the other hand, has two sets of equal-length sides that are opposite each other rather than adjacent.

Since the two adjacent small and two adjacent long sides of a kite are always equal. Therefore, the length of the smaller sides can be written as,

(2x + 1) inches = 5 inches

2x + 1 = 5

2x = 4

x = 2

Now, the length of the longer side of the kite can be written as,

(3x + 5) inches

= 3(2) + 5

= 11 inches

As both the long sides are needed to be covered with the ribbon, therefore, the length of the ribbon needed is,

Ribbon needed = 11 inches × 2

                          = 22 inches

Hence, the total length of ribbon that is needed to line the two long sides of the hat is 22 inches.

The diagram of the question is mentioned in the below image.

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