MATHEMATICS MIDDLE SCHOOL

Six Fifths of what number is 60??

Answers

Answer 1
Answer:

let the number be 'x'

now,

the equation is x×6/5=60

or, 6x/5=60

or, 6x=60×5

or, x=300/6

or, x=50

may this will be helpful for you

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Andres dog weighs 18 pounds. The vet says the breed of his dog typically weighs about 8 kg. How many kg is andres dog above the typical weight? (One kg is about 2.2 lbs.)
a charter bus travels 210 miles in 3 1/2 hours. assume the distance traveled is directly proportional to the time traveled. write and solve a direct variation equation to find how far the bus travel in 6 hours.

Jamel watched his older brother Robert lift weights. The bar alone had a mass of 20 kg. On the bar he had tow 11.4 kg weights, two 4.5 kg weights , and four 450 g weights. What mass was Robert lifting ?

Answers

all you do is add them all together...
20 + 11.4 + 11.4 + 4.5 + 4.5 + 0.45 + 0.45 + 0.45 + 0.45 = 53.6Kg
(note that 0.45 is 450g in Kg, When adding things such as weight or length you want to make sure that they are all in the same unit)

A guy-wire is attached to a pole for support. If the angle of elevation to the pole is 67° and the wire is attached to the ground at a point 137 feet from the base of the pole, what is the length of the guy wire (round to 2 decimal places)?. . A) 58.15 feet. . B) 143.40 feet. . C) 148.83 feet. . D) 350.62 feet

Answers

The pole, the guy wire, and the distance along the ground
all form a right triangle.  Please sketch a picture of the set-up
on your scratch paper.

In a right triangle,

           (the side adjacent to one of the acute angles)
divided by
           ( the hypotenuse)

is the cosine of the angle.

In this problem ...

-- the acute angle in the triangle is 67°

-- the distance along the ground is the side adjacent to the angle ... 137-ft.

-- the wire is the hypotenuse of the triangle.

-- so,                  cosine(67°)  =  (137-ft) / (length of the wire)

Multiply each side by
(length of the wire) :       cosine(67°) x (length of the wire) = (137-ft)

Divide each side
by cosine(67°)                   length of the wire = (137-ft) / cosine(67°)

Look up cosine(67°)
on your calculator:            length of the wire = (137-ft) / (0.390731)

                                                                         =  350.624  .

                      rounded to two decimal places:  350.62 ft

Written in factored form, the binomial a^2b - ab2 is equivalent toA. ab(a - b)
B. (a - b)(a + b)
C. a^2(b-b^2)
D. a^2b^2(b - a)

Answers

The factor of the expression into an equivalent form a²b - (ab)² would be; C  a^2(b-b^2)

What are equivalent expressions?

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.

We need to factor the expression into an equivalent form a²b - (ab)²

This expression could also be given by;

a²b - (ab)²

Now, we know that:

a²- b² = (a + b) (a - b)

Now plug the values then we get;

a^2(b-b^2)

Hence, the factor of the expression into an equivalent form a²b - (ab)² would be; C  a^2(b-b^2)

Learn more about expression here;

brainly.com/question/14083225

#SPJ2
B.(a-b)(a+b)
Because the radius of the numerical number would be hostile once intercepting the equivalent factor would be a^2(b-b^2)

According to the pedometer i move 27 5/8 inches when i walk How many feet i will travel in 96 steps?

Answers

I am assuming that is how far you move per step? So, what I did was first multiply 27 5/8 by your 96 steps ( I also converted 5/8 into a decimal so it would be easier so it's 27.625) 27.625*96= 2,652. I divided that by 12 so I could turn that into feet instead of inches; 221 feet. 

What is the answer to 20*K<3

Answers

20*K < 3
⇒ K < 3/20

The final answer is K < 3/20~

(4)/(9) ×m= 72 what is M?

Answers

Hello lets solve this! :)
\sf(4)/(9)m = 72\n\n\sf{Multiply~(9)/(4)~on~both~sides~to~isolate~m}\n\n(4)/(9)m * (9)/(4) = 72* (9)/(4)\n\nm = 72* (9)/(4)\n\nm = 18 * 9\n\n\boxed{\bf{m=162}}

Hope I helped! IIf you have any other questions or would like further explanation just let me know!! :)
(4/9)m=72
m=(72*9)/4
m=648/4
m=162

answer. m=162
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