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3 years ago

Choose and then match the ratio which is equivalent

Mathematics

1 answer:

madreJ [45]3 years ago

4 0

1. 5 to 20 ---> c. 20 to 80

(5/20 and 20/80, both have the same answer(ratio) which is equal to 1/4)

2. 5 to 40 ---> e. 11 to 88

(5/40 and 11/88, both have the same answer(ratio) which is equal to 1/8)

3. 9 to 45 ---> b. 7 to 35

(9/45 and 7/35, both have the same answer(ratio) which is equal to 1/5)

4. 2 to 20 ---> a. 1 to 10

(2/20 and 1/10, both have the same answer(ratio) which is equal to 1/10)

5. 4 to 12 ---> d. 10 to 30

(4/12 and 10/30, both have the same answer(ratio) which is equal to 1/3)

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I have no idea what im doing someone help pls! due soon

Irina18 [472]

4x2-28x+49

Final result :

(2x - 7)2

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(22x2 - 28x) + 49

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 4x2-28x+49

The first term is, 4x2 its coefficient is 4 .

The middle term is, -28x its coefficient is -28 .

The last term, "the constant", is +49

Step-1 : Multiply the coefficient of the first term by the constant 4 • 49 = 196

Step-2 : Find two factors of 196 whose sum equals the coefficient of the middle term, which is -28 .

-196 + -1 = -197

-98 + -2 = -100

-49 + -4 = -53

-28 + -7 = -35

-14 + -14 = -28 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and -14

4x2 - 14x - 14x - 49

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (2x-7)

Add up the last 2 terms, pulling out common factors :

7 • (2x-7)

Step-5 : Add up the four terms of step 4 :

(2x-7) • (2x-7)

Which is the desired factorization

Multiplying Exponential Expressions :

2.2 Multiply (2x-7) by (2x-7)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (2x-7) and the exponents are :

1 , as (2x-7) is the same number as (2x-7)1

and 1 , as (2x-7) is the same number as (2x-7)1

The product is therefore, (2x-7)(1+1) = (2x-7)2

Final result :

(2x - 7)2

7 0

3 years ago

Read 2 more answers

you deposit $2000 in an account earning 3% interest compounded monthly. How much will you have in the account in 10 years?

Hitman42 [59]

If it’s 3% that’s 36% a year which means 360% in ten years. $2000+360%=$9200

8 0

3 years ago

Lakelyn is training for a triathlon she is practising her swiming running and biking skills so far she can swim at a rate of 250

Nezavi [6.7K]

Answer:

The answer to the question is

It would take Lalelyn bout 3 hours to run the 18m miles, and it will take her

$\frac{x}{1.7} +\frac{y}{6} +\frac{z}{12} = t$ and x +y+z =18 where x, y, and z are the distannce covered swimming, running and bikinr respectifully

Step-by-step explanation:

To solve the question, we lisrt out the variables as follows

Swimming speed of Lakelyn = 250 yards every 5 minutes or 250×12 = 3000 yards/hour = 1.7 miles/hr

Running speed of Lakelyn = 6 miles/hour

Biking speed = 12 miles/hour

The duration it will take for Lakelyn to run 18 miles is given by

Timee taken to run 18 miles t = (Distance covered)/ (Speed of Lakelyn))

or t = D/S

Substituting the known values of such as

Running speed of Lakelyn = 6 miles/hour

From which we have the time taken to run 18 miles = 18 miles /(6 miles/hour) = 3 hours

should the 18 miles form part of the triathlon then, we have

$\frac{x}{1.7} +\frac{y}{6} +\frac{z}{12} = t$ and x +y+z =18

Where x, y and z are the distance covered Swimming, Running and Biking respectively

4 0

3 years ago

Read 2 more answers

Hey can you please help me posted picture of question

vredina [299]

The correct Option is (A) 35x^3 - 16x^2 + 44x - 48

Explanation: The product of the polynomials (5x^2 + 2x +8)(7x-6) is:

(5x^2)(7x-6) + 2x(7x-6) +8(7x-6)

35x^3 -30x^2 + 14x^2 - 12x + 56x - 48
35x^3 - 16x^2 + 44x - 48 (Option A)

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3 years ago

Name 3 reasons why explorers made their difficult and dangerous trips.

dybincka [34]

~To explore/find new lands
~To discover new goods
~To trade or sell

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3 years ago