MATHEMATICS MIDDLE SCHOOL

What is the reduced fraction of 35/210

Answers

Answer 1

Answer:

Answer:1/6

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 35 and 210 is 35

Divide both the numerator and denominator by the GCD

35 ÷ 35

210 ÷ 35

Reduced fraction:

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Jacob is dividing 6 aquariums into 1/8 of an aquarium sections for his different animals. How many 1/8's are there in Jacobs aquaiums?

Answers

Answer:

Step-by-step explanation:

Jacob is dividing 6 aquariums into 1/8 of an aquarium sections for his different animals. How many 1/8's are there in Jacobs aquariums?

To get the number of 1/8 in Jacobs aquariums,we simply divide 6 by 1/8

6 ÷ 1/8

But whenever you are dividing by a fraction, you can simply change the division to multiplication in order to make your work easier, all you need to do to change the division to multiplication is to simply turn the number over, that is; the denominator becomes the numerator and the numerator becomes the denominator,

In this case 8 becomes the numerator and 1 becomes the denominator

Hence;

6 × 8 /1 = 6 × 8 = 48

Therefore, the number of 1/8's in Jacobs aquariums are 48

There would be 48/8th’s
1/8*6=48

8.21 as a mixed number

Answers

Hey there, 8.21 as a fraction is 8210/1000, the numerator is 8210 because 8.21*1000=8210 and the denominator is out of 100. The fraction 8210/100, can be simplified to 821/100, 821/100 as a mixed number is 8 21/100. Therefore, 8.21 as a mixed number is 8 21/100.

ok to get a mix number you divide the numerator by the denominator in this case which is 21 into 100 can only go into 100 4 times so 21 into 100 is 8 4/16 reduced would be 8 1/2

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Answers

Answer:

B. 36

Step-by-step explanation:

6 + 30

The figure shown is made up of triangle ABF and rectangle BCDE. The area of the figure is 90 square feet. If AB=BC=BF=FE, find AC

Answers

the complete question in the attached figure

let
x-----> distance AB
so
AC=2x

we know that
area of the figure=area of triangle+area of rectangle
area of the figure=90 ft²

step 1
find the area of triangle
$A=b*h/2$
b=x
h=x
so
$A=(x*x)/2$
Area of triangle=x²/2 ft²

step 2
find the area of rectangle
$A=b*h$
b=2x
h=x
$A=(2x)*x------\ \textgreater \ A=2x^(2)$
area rectangle=2x²

step 3
find value of x
area of the figure=(x²/2)+2x²
area of the figure=90 ft²
90=(x²/2)+2x²-----> multiply by 2 both sides----> 180=x²+4x²
5x²=180-----> x²=36-----> x=6 ft

AC=2x-----> AC=2*6----> AC=12 ft

the answer is
AC=12 ft

does it matter which way you subtract the values when you are finding distance between two numbers on a number line

Answers

yes, you have do: bigger number - smaller number otherwise you would get negative distance which is impossible

yes. otherwise you could get a negative which us incorrect. subtract the smaller value from the larger value.

Is the data point, P, an outlier, an influential point, both, or neither?

Answers

I'd say an outlier. P is separated noticably from the other points and would not considerably affect the slope of the line

Answer:

An outlier

Step-by-step explanation:

The point P is quite separate from the rest of the data.

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