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svlad2 [7]
3 years ago
9

The expression 15w + 65 factored using the gcf is?

Mathematics
2 answers:
Mrac [35]3 years ago
8 0
The gcf is 5, factored it’d look like
5(w+13)
astraxan [27]3 years ago
4 0

Answer:

5(3w+13)

Step-by-step explanation:

1) Prime factorization of 65 and 15 will give us 5 as is Greatest Common Factor

65|5

13|13

1

15|5

3|3

1

2

2) Placing the common factor outside the parentheses. And inside the sum of its quotients.

\frac{65}{5}=13\\\frac{15w}{5}=3w\\

There you have, a simplified expression:

5(3w+13)

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Two kg of tea and 3 kg of sugar cost rupees 39 in january 1997, However in march 1997 the price of the tea increased by 25% and
Irina18 [472]

Answer: tea = 15 rupees  per kg

sugar= 3 rupees per kg

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations with the information given:

<em>"Two kg of tea and 3 kg of sugar cost rupees 39 in january 1997": </em>

2 t + 3 s =39 (a)

Where:

  • t= price of 1 kg of tea
  • s = price of 1 kg of sugar

<em>"in march 1997 the price of the tea increased by 25% (1.25)and the price of the sugar increased by 20%(1.20) and the same quantity of tea and sugar cost rupees 48.30. "</em>

2(t1.25)+3(s1.2) = 48.30 (b)

  • <em>Solving for t in (b) </em>

2t =39-3s

t = (39 -3s)/2

t = 19.5-1.5s

  • <em>Replacing the value of t in (b) </em>

2 x ((19.5-1.5s)1.25)+ 3 ( 1.2s) =48.30

2x ( 24.375 -1.875s) +3.6s =48.30

48.75 -3.75s+3.6s= 48.30

48.75-48.30 = 3.75s-3.6s

0.45= 0.15s

0.45/0.15 =s

3 =s

  • <em>Replacing the value of s in (a) </em>

2 t + 3 (3) =39

2 t + 9 =39

2 t =39 -9

2 t =30

t = 30/2

t= 15

Prices in january:

tea = 15 rupees per kg

sugar= 3 rupees per kg

Feel free to ask for more if needed or if you did not understand something.

4 0
2 years ago
Read 2 more answers
Write an equation in slope-intercept form of the line that passes throught the point and given slope:
ludmilkaskok [199]
 y = mx + b
5 = 12(-3) + b
5 = -36 + b
b = 41

y = -3x + 41
6 0
2 years ago
In a recent survey, three out of every five teenagers said they listen to music while studying.
Virty [35]

Answer:

225

Step-by-step explanation:

3 out of 5 is .6 is u multiply .6 by 375 you get 225

7 0
3 years ago
If g(x) is a linear function such that g(-3) = 2 and g(1) = -4, find g(7).
eimsori [14]
<h3>Answer:   -13</h3>

=======================================

Explanation:

g(-3) = 2 means x = -3 and y = 2 pair up together to form the point (-3,2)

g(1) = -4 means we have the point (1,-4)

Find the slope of the line through the two points (-3,2) and (1,-4)

m = (y2-y1)/(x2-x1)

m = (-4-2)/(1-(-3))

m = (-4-2)/(1+3)

m = -6/4

m = -3/2

m = -1.5

The general slope intercept form y = mx+b turns into y = -1.5x+b after replacing m with -1.5

Plug in (x,y) = (-3,2) which is one of the points mentioned earlier and we end up with this new equation:  2 = -1.5*(-3) + b

Let's solve for b

2 = -1.5*(-3)+b

2 = 4.5 + b

2-4.5 = 4.5+b-4.5 .... subtract 4.5 from both sides

-2.5 = b

b = -2.5

Therefore, y = mx+b becomes y = -1.5x-2.5 meaning the g(x) function is g(x) = -1.5x-2.5

The last step is to plug in x = 7 and compute

g(x) = -1.5*x - 2.5

g(7) = -1.5*7 - 2.5

g(7) = -10.5 - 2.5

g(7) = -13

6 0
3 years ago
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Polynomial Warm Up
Kazeer [188]

Answer:

Step-by-step explanation:

False you must multiply the coefficient (numbers) and add the exponents.

8 0
3 years ago
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