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2 years ago

What is the greatest common factor of 20 and 30???

Mathematics

1 answer:

Ugo [173]2 years ago

7 0

The greatest common factor of 20 and 30 is 10. This is because 10 is the largest number that when it is used to divide 20 or 30, it equals a whole number.

The simple way for us to solve is to write down the factors of both numbers, find the factors that match for both numbers, and see which is the largest out of those that match.

20: 1,2,4,5,10,20
30: 1,2,3,5,6,10,15,30

Using that logic, we can see that 10 is the greatest factor that the numbers share.

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What’s the answer to this question?

kobusy [5.1K]

The answer is 16.

First of all, you need to divide 4 by 1/4.

4/1 / 1/4 = 1.

15 - 1 + 2

Next, you go from left to right with addition and subtraction, so subtract 1 from 15 first.

15 - 1 = 14

14 + 2

Finally, add 14 and 2.

14 + 2 = 16.

7 0

3 years ago

Letter b on number 11 is all I need help with. Thank you

Simora [160]

distance = 500 feet

Since Δ VWX and Δ YZX are similar then the ratios of corresponding sides are equal, that is

$\frac{VW}{YZ}$ = $\frac{VX}{YX}$ = $\frac{WX}{ZX}$

completing the required values gives

$\frac{100}{l}$ = $\frac{60}{30}$ ( cross- multiply )

60l = 30 × 100 = 3000 ( divide both sides by 60 )

l = 500

distance across the swamp is 500 feet

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3 years ago

Convert the standard equation to vertex form. f(x) = 3x^2+ 18x – 7

natima [27]

Find the vertex form Y=3(x+3^2-34

5 0

2 years ago

What is the solution of this system of linear equations?

creativ13 [48]

Answer: D

Step-by-step explanation:

Consider the first equation. Subtract 3x from both sides.

y−3x=−2

Consider the second equation. Subtract x from both sides.

y−2−x=0

Add 2 to both sides. Anything plus zero gives itself.

y−x=2

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

y−3x=−2,y−x=2

Choose one of the equations and solve it for y by isolating y on the left hand side of the equal sign.

y−3x=−2

Add 3x to both sides of the equation.

y=3x−2

Substitute 3x−2 for y in the other equation, y−x=2.

3x−2−x=2

Add 3x to −x.

2x−2=2

Add 2 to both sides of the equation.

2x=4

Divide both sides by 2.

x=2

Substitute 2 for x in y=3x−2. Because the resulting equation contains only one variable, you can solve for y directly.

y=3×2−2

Multiply 3 times 2.

y=6−2

Add −2 to 6.

y=4

The system is now solved.

y=4,x=2

6 0

2 years ago

Read 2 more answers

PLEASE HELP 10pts

Veronika [31]

Answer:

Hence the function which has the smallest minimum is: h(x)

Step-by-step explanation:

We are given function f(x) as:

f(x) = −4 sin(x − 0.5) + 11

We know that the minimum value attained by the sine function is -1 and the maximum value attained by sine function is 1.

so the function f(x) receives the minimum value when sine function attains the maximum value since the term of sine function is subtracted.

Hence, the minimum value of f(x) is: 11-4=7 ( when sine function is equal to 1)

Also we are given a table of values for function h(x) as:

x y

−2 14

−1 9

0 6

1 5

2 6

3 9

4 14

Hence, the minimum value attained by h(x) is 5. ( when x=1)

Also we are given function g(x) ; a quadratic function passing through (2,7),(3,6) and (4,7)

so, the equation will be:

$g(x)=ax^2+bx+c$ Hence on putting these coordinates we will get:

a=1,b=3 and c=7.

Hence the function g(x) is given as:

$g(x)=x^2-6x+15$

So,the minimum value attained by g(x) could be seen from the graph is at the point (3,6).

Hence, the minimum value attained by g(x) is 6.

Hence the function which has the smallest minimum is h(x)

6 0

3 years ago

Read 2 more answers