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lbvjy [14]
4 years ago
11

Is there an ordered pair that is a solution to both 4x+3y<12 and -x+3y<-3

Mathematics
1 answer:
tangare [24]4 years ago
4 0

Answer:

See below.

Step-by-step explanation:

4x + 3y < 12

-x + 3y < -3

First find where the 2 lines intersect

4x + 3y = 12

-x + 3y = -3

Subtract :

5x = 15

x = 3

and y = -3 + 3 / 3 = 0

So they intersect at the point (3,0).

Therefore there are many  ordered pairs below these 2 lines that satisfy this inequality.

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the diameter of a bicycle wheel is 0.7 meters. find the number of complete revolutions made by the wheel if the bicycle travels
larisa [96]

Answer:

200\ rev

Step-by-step explanation:

we know that

1\ rev=2\pi r ----> circumference of a circle

step 1

Find the circumference of a circle

The circumference is equal to

C=2\pi r

we have

r=0.7/2=0.35\ m ----> the radius is half the diameter

\pi=22/7

substitute

C=2(22/7)(0.35)=2.2\ m

step 2

Find the number of complete revolutions made by the wheel if the bicycle travels 440 meters

Divide the total distance by the circumference

\frac{440}{2.2}=200\ rev

7 0
3 years ago
How do I solve this question by simplifying?
suter [353]

Answer:

perimeter: 22x-14

area : 24x^2-37x

Step-by-step explanation:

for perimeter, it is the length of all the sides added together

starting at the left and working clockwise

5x+((6x-7)-(3x+1))+2x+(3x+1)+(5x-2x)+(6x-7)

5x+6x-7-3x-1+2x+3x+1+5x-2x+6x-7

combine like terms

perimeter: 22x-14

for area, area of (5x*(6x-7)) and subrtact the missing portion of (2x*(3x+1))

(30x^2-35x)-(6x^2+2x)

area : 24x^2-37x

5 0
3 years ago
What value is an x worth
gogolik [260]

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

6 0
3 years ago
Rewrite a savings account balance is -$15.00 as a positive value
kykrilka [37]

Answer:

$15.00

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Is -3/9 greater than -0.33
galina1969 [7]

-3/9 is equal to -0.3333333333333

So no, -3/9 is not greater than -0.33

Hope this helps ^-^

8 0
3 years ago
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