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Papessa [141]
3 years ago
14

If you had to add two fractions with denominators of 4 and 5. What might the denominator of the sum be? Show more than one possi

bility. Use specific fraction examples.
Mathematics
1 answer:
Fiesta28 [93]3 years ago
4 0

Answer:

9

Step-by-step explanation:

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Find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3. A) (2, 2) B) (4, 1) C) (–6, 6) D) (4
Yuri [45]

Answer:

The answer is explained below

Step-by-step explanation:

The question is not complete we need point P and point Q.

let us assume P is at (3,1) and Q is at (-2,4)

To find the coordinate of the point that divides a line segment PQ with point P at (x_1,y_1) and point Q at (x_2,y_2) in the proportion a:b, we use the formula:

x-coordinate:\\\frac{a}{a+b}(x_2-x_1)+x_1 \\\\While \ for\ y-coordinate:\\\frac{a}{a+b}(y_2-y_1)+y_1

line segment PQ  is divided in the ratio 5:3 let us assume P is at (3,1) and Q is at (-2,4). Therefore:

x-coordinate:\\\frac{5}{5+3}(-2-3)+3 \\\\While \ for\ y-coordinate:\\\frac{5}{5+3}(4-1)+1

4 0
3 years ago
Howard can mow 3 lawns in 6 hours. How many lawns can he mow in 24 hours?
Papessa [141]

Answer:

12 lawns in 24 hours

Step-by-step explanation:

I hope that this helps. Have a good day!

4 0
3 years ago
Read 2 more answers
Mr downs bought a camera for 56$. this was 80% of the list price. what was the list price
Vsevolod [243]
I got 70 as the list price. If it’s multiple choice and 70 isn’t one of the answers I’m sorry
5 0
2 years ago
(2m2+10m+1) from (−8m2−8m+12)
m_a_m_a [10]

Answer:

4mfro• (2m2+10m+1)•(2m2+2m-3)

STEP

1

:

Equation at the end of step 1

0-((((((((2•(m2))+10m)+1)•f)•r)•o)•m)•(((0-23m2)-8m)+12))

STEP

2

:

Equation at the end of step

2

:

0-(((((((2m2+10m)+1)•f)•r)•o)•m)•(-8m2-8m+12))

STEP

3

:

Trying to factor by splitting the middle term

3.1 Factoring 2m2+10m+1

The first term is, 2m2 its coefficient is 2 .

The middle term is, +10m its coefficient is 10 .

The last term, "the constant", is +1

Step-1 : Multiply the coefficient of the first term by the constant 2 • 1 = 2

Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is 10 .

-2 + -1 = -3

-1 + -2 = -3

1 + 2 = 3

2 + 1 = 3

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

3

:

0-((((f•(2m2+10m+1)•r)•o)•m)•(-8m2-8m+12))

STEP

4

:

Equation at the end of step 4

0-(((fr•(2m2+10m+1)•o)•m)•(-8m2-8m+12))

STEP

5

:

Equation at the end of step 5

0-((fro•(2m2+10m+1)•m)•(-8m2-8m+12))

STEP

6

:

Equation at the end of step 6

0 - (mfro • (2m2 + 10m + 1) • (-8m2 - 8m + 12))

STEP

7

:

STEP

8

:

Pulling out like terms

8.1 Pull out like factors :

-8m2 - 8m + 12 = -4 • (2m2 + 2m - 3)

Trying to factor by splitting the middle term

8.2 Factoring 2m2 + 2m - 3

The first term is, 2m2 its coefficient is 2 .

The middle term is, +2m its coefficient is 2 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is 2 .

-6 + 1 = -5

-3 + 2 = -1

-2 + 3 = 1

-1 + 6 = 5

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

8

:

0 - -4mfro • (2m2 + 10m + 1) • (2m2 + 2m - 3)

STEP

9

:

Final result :

4mfro • (2m2 + 10m + 1) • (2m2 + 2m - 3)

5 0
3 years ago
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C. About 4 hours. When you add the numbers together, you get

2 1/8 + 2 1/4 = 35/8 = 4 3/8 = 4.375

Since the answer is not greater than 4.5, you round down to 4. If the answer was greater than 4.5, you would have rounded up to 5.
8 0
2 years ago
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