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3 years ago

Hi can someone answer this question please thank you

Mathematics

2 answers:

lianna [129]3 years ago

6 0

Given that,

→ 5 : 20 :: x : 100

Then we have to,

find the second number to 100.

→ 100/20

→ 5

Now multiply each term by 5 in 5:20,

→ 5 × 5 : 20 × 5

→ 25 : 100

→ x = 25

Now these ratio will be,

→ 5 : 20 :: <u>2</u><u>5</u> : 100

Hence, the value of x is 25.

Zielflug [23.3K]3 years ago

5 0

Answer:

Step-by-step explanation:

5:20

We want to get the second number to 100

100/20 = 5

Multiply each term by 5

5*5 : 20*5

25 : 100

x is 25

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sleet_krkn [62]

Answer:

Samantha needs to pay $5 for the GST.

Step-by-step explanation:

In order to determine the amount of GST that Samantha needs to pay, you can use the rule of three to fnd the 5% given than 99.75 represents 100%:

$99.75→100%

x ← 5%

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According to this, the answer is that Samantha needs to pay $5 for the GST.

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3 years ago

Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

$15x((x^2-3x)+(2x-6))=0$

$15x(x(x-3)+2(x-3))=0$

$15x(x-3)(x+2)=0$

Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

$x=0\text{ (or) }x=3\text{ (or) }x=-2$

Therefore, the zeros of our given function are $x=-2,0,3$ .

7 0

4 years ago

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Answer:

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Step-by-step explanation:

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