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madreJ [45]
3 years ago
15

Stephanie spent $31.20 on ten fancy pens. How much did each pen cost?

Mathematics
1 answer:
KIM [24]3 years ago
6 0

Answer: Each pen cost $3.12

Step-by-step explanation:

If you divide 31.20 by 10 you will get 3.12. Each pen costs the same amount so that amount ten times would equal $31.20. To find out how much one pen costs you need solve for only one out of these ten pens which is why you divide.

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He polynomial of degree 5, p ( x ) p(x) has leading coefficient 1, has roots of multiplicity 2 at x = 4 x=4 and x = 0 x=0, and a
noname [10]
Root of x = 4  means (x - 4) is a factorMultiplicity of two means that (x - 4) is used twice root of x= -4 means that (x+ 4) is a factormultiplicity of 1 means it is used once so y = a (x-4) (x-4) (x + 4)y = a (x^3 - 4x2 - 16x + 64)
Thus, any polynomial with these zeroans d as a minimum these multiplicities will be a multiple (scalar or polynomial) of this P(x).
3 0
4 years ago
Susan is looking to hire a cleaning company to clean her house every week. One cleaning company's cost can be calculated by the
kirill [66]

Answer:

<h3>A. 1 hour</h3>

Step-by-step explanation:

If one cleaning company's cost can be calculated by the expression 75 + 50x, where x is the amount of hours they spend cleaning and another cleaning company's cost can be calculated using the expression 50 + 75x, then to calculate how long each company will have to clean to cost the same amount, we will equate both expression of the company cost and solve for x as shown;

On equating:

75 + 50x,  =  75x + 50

collect like terms'

50x-75x = 50-75

-25x = -25

divide both sides by -25

-25x/-25 = -25/-25

x = 1

hence the number of hours each company will have to clean to cost the same amount is 1 hour

3 0
3 years ago
The lowest fractions for 40 over 25?
tigry1 [53]

Answer:

8/5

Step-by-step explanation:

4 0
3 years ago
PLEASE PLEASE PLEASE HELP!!
nata0808 [166]
133        112
----  =   -------
 x            16

112x = 133 . 16 
112x = 2128
x = 2128/112
x = 19

answer: x = 19
5 0
3 years ago
Graph the system of inequalities to show all possible solutions.<br> {y&lt;3x-2<br> {y ≥ -x+3
Semmy [17]

Answer:

see attachment for graph

Step-by-step explanation:

< or > : dashed line

≤ or ≥ : solid line

< or ≤ : shade below the line

> or ≥ : shade above the line

<u>To graph the line y < 3x-2</u>

Rewrite the equation as: y = 3x - 2

Find two points on the line:

when x = 0,  y = 3(0) - 2 = -2  →  (0, -2)

when x = 3,  y = 3(3) - 2 = 7  →  (3, 7)

Plots the found points (0, -2) and (3, 7).

Draw a straight, dashed line through the points.

<u>To graph the line y ≥ -x + 3</u>

Rewrite the equation as: y = -x + 3

Find two points on the line:

when x = 0,  y = -(0) + 3 = 3  →  (0, 3)

when x = 3,  y = -(3) + 3 = 0  →  (3, 0)

Plots the found points (0, 3) and (3, 0).

Draw a straight, solid line through the points.

Shade above the solid line and below the dashed line to the right of where the two lines intersect.  <u>The shaded area is the area of all possible solutions</u>.

5 0
2 years ago
Read 2 more answers
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