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sweet-ann [11.9K]
3 years ago
9

Simplify: 2 11/12 + 5 1/2 + 3 3/8 Write you answer as a mixed number.

Mathematics
1 answer:
zysi [14]3 years ago
3 0

Answer:

2\frac{11}{12} +5 \frac{1}{2} + 3\frac{3}{8} (write them out and convert them all into mixed fractions)

\frac{35}{12} + \frac{11}{2} + \frac{27}{8} (find the LCD aka least common denominator)

\frac{70}{24} + \frac{132}{24}  + \frac{81}{24} (add all numerators together)

\frac{283}{24}  (this is improper, so you need to convert back to mixed by dividing)

11\frac{19}{24} (this is your answer)

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A walking path across a park is represented by the equation y= -3x - 6 . A new path will be built perpendicular to this path. Th
Romashka [77]

Answer:

The equation that represents the new path is y=(1/3)x+4

Step-by-step explanation:

step 1

Find the slope of the give line

we have

y=-3x-6

so

the slope m is equal to

m=-3

step 2

Find the slope of the perpendicular line to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal of each other

so

we have

m=-3 -----> slope of the given line

therefore

The slope of the perpendicular line is equal to

m=1/3

step 3

With m=1/3 and the point (-3,3) find the equation of the line

y-y1=m(x-x1)

substitute

y-3=(1/3)(x+3)

y=(1/3)x+1+3

y=(1/3)x+4 -----> equation that represent the new path

8 0
3 years ago
Find the 13th term in the following arithmetic sequence <br><br> 2,5,8,11
givi [52]

Answer:

answer is 38, since she keeps deleting my things

Step-by-step explanation:

7 0
4 years ago
A cylinder has a diameter of 40 feet and a height of 32 feet. What is the surface area of the cylinder? Express the answer in te
givi [52]

Answer:

i think its 2,080

Step-by-step explanation:

the diameter is 40ft and the radius r=\frac{40}{2}=20ft and height is h=32ft.

A=2pi(20)(20+32)=40pi52=2,080pi square ft

3 0
4 years ago
Read 2 more answers
The sum of two numbers a and b is 7 and the difference between them is 2. What is the value of a x b ? Give your answer as a mix
Andre45 [30]

Answer:

45/4

Step-by-step explanation:

We can interpret the question to have two equation which can be solve simultaneously

a+b=7------------(1)

a-b=2------------(2)

From eqn(2) make a subject of formula

a=2+b--------(3)

Substitute the (3) into eqn(1)

a+b=7------------(1)

2+b+b=7

2b=7-2

2b=5

b=5/2

From equation (3) substitute value of b to find a

a=2+b--------(3)

a= 2+5/2

a=9/2

Then What is the value of a x b ?

9/2× 5/2

=45/4

8 0
3 years ago
3. Find the coordinates for the three bases and graph them below: (3 points: 1 point for each base)
VladimirAG [237]

Answer:

Here is the full answered document ;)

Step-by-step explanation:

Download pdf
8 0
3 years ago
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