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3 years ago

Are the ratios 1:2 and 2:3 equivalent?

Mathematics

2 answers:

timofeeve [1]3 years ago

8 0

Answer:

Step-by-step explanation:

ANTONII [103]3 years ago

7 0

Answer:

No, Picture it as fractions. 1:2 is the same as 1/2, and 1:3 the same as 1/3

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Select one of the factors of x3y2 8xy2 − 5x2 − 40. (xy2 5) (x2 4) (xy2 − 5) (x2 − 8) 4. select one of the factors of 5x2 7x 2. (

umka2103 [35]

The <em><u>correct answers</u></em> are:

(xy² − 5); none of the above; and (4x − 3)

Explanation:

To factor the first one, we will use factoring by grouping. First group the first two together and the second two together:

(x³y²+8xy²)+(-5x²-40)

Find the GCF of each group. The GCF of the first one is xy² and the GCF of the second is -5. Factor these out of each group:

xy²(x²+8)-5(x²+8)

We now have a GCF of the terms as we have rewritten them. Factoring out (x²+8), we have:

(x²+8)(xy²-5)

To factor the second question, we want factors of 10 that sum to 7. 5 and 2 work for this, so this is how we will split up the x term in our polynomial:

5x²+5x+2x+2

Group together the first two and the last two:

(5x²+5x)+(2x+2)

Find the GCF of each group. The first one has a GCF of 5x and the second has a GCF of 2. Factor these out:

5x(x+1)+2(x+1)

The GCF of the rewritten terms is (x+1). Factoring this out, we have

(x+1)(5x+2)

To factor the third question, we want factors of -24 that sum to 5. -3 and 8 will do this, and this is how we will split up the x term:

4x²+8x-3x-6

Group together the first two and the last two:

(4x²+8x)+(-3x-6)

Find the GCF of each group. The GCF of the first group is 4x and the GCF of the second group is -3. Factor these out:

4x(x+2)-3(x+2)

The GCF of the rewritten polynomial is (x+2). Factor this out:

(x+2)(4x-3)

4 0

3 years ago

Read 2 more answers

2^3+5x(6+4)÷2, for MATH LIB

Lynna [10]

Evaluate 2^3+5x(6+4)÷2 following Order of Operations rules (PEMDAS):

Work within parentheses is done first, followed by exponentiation, and then mult. and div., and finally add'n. and subtr'n.

Thus, 2^3+5x(6+4)÷2 becomes 2^3+5x(10)÷2

8 + 50x/2

8 + 25x

3 0

3 years ago

A 25-foot ladder leans against a wall. The base of the ladder is 15 feet from the bottom of the wall. How far up the wall does t

motikmotik

Answer: 20 feet.

Step-by-step explanation:

Observe the right triangle attached.

You need to find the value of "x".

Then, you can use the Pythagorean Theorem:

$a^2=b^2+c^2$

Where "a" is the hypotenuse of the triangle, and "b" and "c" are the legs.

In this case, you can identify that:

$a=25ft\\b=15ft\\c=x$

Substitute these values into $a^2=b^2+c^2$ :

$(25ft)^2=(15ft)^2+x^2$

Now, you need to solve for x to find how far up the wall the top of the ladder reaches. Then you get:

$x^2=(25ft)^2-(15ft)^2$

$x=\sqrt{(25ft)^2-(15ft)^2}$

$x=20ft$

3 0

4 years ago

Read 2 more answers

Using formula z equals x over 5 and solving for x which is correct? x equals 5 z or x equals 5 over x or x equals z over 5 or x

erastovalidia [21]

Original
Z = X/5
Solve for X
Multiply both sides by 5
5Z = X
Answer
X = 5Z

6 0

3 years ago

A number cube is rolled 100 times. A 6 is rolled 40 times. What is the relative frequency for rolling a 6?

horsena [70]

The frequency would be 60%.
You know how many times she rolled the dice (100) then it also tells you the dice rolled 6 40 times. So then we minus 100 by 4. Which will end up getting us 60. Which we can also write as 60%. So the frequency is 60%.

5 0

3 years ago