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3 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]3 years ago

7 0

Answer:

Step-by-step explanation:

svp [43]3 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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WARRIOR [948]

Answer:

$2\,(x-1)^2=4$

which is the first option in the list of possible answers.

Step-by-step explanation:

Recall that the minimum of a parabola generated by a quadratic expression is at the vertex of the parabola, and the formula for the vertex of a quadratic of the general form:

$y=ax^2+bx+c$

is at $x_{vertex}=\frac{-b}{2\,a}$

For our case, where $a=2\,\,, b=-4\,\,,\,\,and \,\,c=-2$ we have:

$x_{vertex}=\frac{-b}{2\,a}\\x_{vertex}=\frac{4}{2\,*\,2}\\x_{vertex}=1$

And when x = 1, the value of "y" is:

$y(x)=2x^2-4x-2\\y(1)=2(1)^2-4(1)-2\\y(1)=2-6\\y(1)=-4\\y_{vertex}=-4$

Recall now that we can write the quadratic in what is called: "vertex form" using the coordinates $(x_{vertex},y_{vertex)$ of the vertex as follows:

$y-y_{vertex}=a\,(x-x_{vertex})^2$

Then, for our case:

$y-(-4)=2\,(x-1)^2\\y=2\,(x-1)^2-4$

Then, for the quadratic equal to zero as requested in the problem, we have:

$y=2\,(x-1)^2-4=0\\2\,(x-1)^2-4=0\\2\,(x-1)^2=4$

5 0

3 years ago

-7(y-1)= 21<br><br> Show how you answered the question step by step.

Stolb23 [73]

Step-by-step explanation:

-7(y-1)= 21

-7y+7=21

-7y=21-7

-7y=14

divide by-7

y=-2

6 0

3 years ago

Read 2 more answers

Which graph best represents y=−2x+3

Savatey [412]

Answer:

download graphing calc, it'll help u sm

Step-by-step explanation:

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　　　★　*　　　　　°　　　　　°·　　

.　　　•　° ★　• ☄

▁▂▃▄▅▆▇▇▆▅▄▃▁▂

4 0

3 years ago

An ice cream sells 4 drinks, in 5 sizes, and 7 flavors. How many ways can a customer order a drink?

tigry1 [53]

Answer:

140 ways

Step-by-step explanation:

4 x 5 x 7 = 140

3 0

3 years ago

A stick is broken into two pieces, at a uniformly random break point. Find the CDF and average of the length of the longer piece

Oksanka [162]

Answer:

P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1

Step-by-step explanation:

let assume that stick has length 1.Random variable L that make length of a longer piece and random variable U that mark point .See that L < l means that

U≤ l and 1-U ≤l

P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1

this means 1-l≤U≤l

so we have

if we have L [1/2,1]

then apply the formula we have E(L)=3/4

5 0

3 years ago