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2 years ago

There are two numbers. Their GCF is 5. Their LCM is 150. The first number is 25. What is the second number?

Mathematics

2 answers:

Galina-37 [17]2 years ago

7 0

Answer:

Step-by-step explanation:

svp [43]2 years ago

5 0

Answer:

if 150 is a multiple, then all of the factors of the second number must also be factors of 150 which are: 5 (twice), 2 and 3.

Since 150 is the LCM, all of those factors must be either in our number or 25. Since 25 has just 5 (twice) as a factor, both 2 and 3 must be factors.

The remaining question is how many 5s we have. Since the GCF with 25 is 5, our number must exactly one 5.

So the factors of our number are: 2, 3, and 5. There is one number with exactly these factors = 2*3*5 = 30.

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The difference of two numbers, a and b, is 21. The difference of 5 times a and two times b is 18. What are the values of a and b

PSYCHO15rus [73]

A-b=21
5a-2b=18

We can use substitution here. Take the first equation and solve for A. (Picking this one because it's easy)

a = 21+b

Plugin to the second equation:5(21+b)-2b=18
Simplify: 105 + 5b - 2b = 18
Simplify: 105 + 3b = 18
Subtract both sides: 3b = 18-105
Simplify: 3b = -87
Divide: b = -29

Plug back into the first: a=21+b
a = 21 - 29
a = -8

Option D

6 0

2 years ago

A car wheel is 56 cm in diameter. A. How far does the car go in one revolution of the wheel?

andre [41]

The car moved 175.84 cm in one revolution

The car has moved 17584 cm in 100 revolutions

Solution:

Given that car wheel is 56 cm in diameter

diameter = 56 cm

To find: distance traveled in one revolution of wheel

Usually wheel is of circular shape

one revolution of wheel = circumference of circle

The circumference of circle is given as:

$c = 2 \pi r$

We know that,

diameter = 2(radius)

$d = 2r$

So the circumference becomes:

$c = \pi d$

substitute $\pi$ = 3.14 and d = 56 cm

$c = 3.14 \times 56 = 175.84$

Thus the car moved 175.84 cm in one revolution

B. How far does it go in 100 revolutions

Distance covered in 100 revolutions = 100 x Distance covered in 1 revolution

$\rightarrow 100 \times 175.84 = 17584$

Thus the car has moved 17584 cm in 100 revolutions

6 0

2 years ago

I NEED HELP ASAP IMPORTANT TEST I HAVE A LITTLE TO FINISH IT HELPPPPPPPPPPP

UkoKoshka [18]

THEYRE CORRESPONDING ANGLES :)

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2 years ago

What is the value of B?

iragen [17]

$2x^2-12xy-32y^2=2(x-8y)(x+By)\qquad|\text{use distributive property}\\\\2x^2-12xy-32y^2=(2x-16y)(x+By)\\\\2x^2-12xy-32y^2=(2x)(x)+(2x)(By)+(-16y)(x)+(-16y)(By)\\\\2x^2-12xy-32y^2=2x^2+2Bxy-16xy-16By^2\\\\2x^2-12xy-32y^2=2x^2+(2B-16)xy+(-16By)$

$\text{therefore:}\\\\2B-16=-12\ \text{and}\ -16B=-32\\\\2B=4\ \text{and}\ B=2\\\\B=2\ \text{and}\ B=2\qquadCORRECT$

<h3>Answer: B = 2</h3>

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2 years ago

You get a large ice-cream cone for $2.99 and a bottle of water for $1.07 . You pay with a 10 -dollar bill. How much change will

Igoryamba

10 - 2.99 = 7.01 and 7.01 - 1.07 = 5.94 so you will get 5.94 in change

5 0

2 years ago

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