Lina and Josh each made a factor tree to find the prime factorization of 126. Lina's Solution Josh's Solution 2 factor trees. Alina's factor tree of 126. 126 branches to 3 and 42. 42 branches to 6 and 7. 6 branches to 2 and 3. The equation is 126 = 2 times 3 squared times 7. Josh's factor tree of 126. 126 branches to 2 and 63. 63 branches to 9 and 7. The equation is 126 = 2 times 7 times 9. Which statement explains the accuracy of the students' work? Lina's solution is correct because it expresses 126 as a product of prime factors. Josh's solution is correct because the factor tree of every even number must begin with 2 and its factor pair. Both solutions are correct because they both express 126 as a product of factors. Neither solution is correct because the factor tree should have begun with 6 and 21.

Answer:

24

Step-by-step explanation:

A negative integer times a negative integer is the same as a positive integer times a positive integer, so this would be the same as (8)(3) which is 24.

Answer:

Both sides are equal.

So less than symbol can't be use in this case.

Step-by-step explanation:

This problem has no solution until you change any elements correctly.

thanks..

Answer:

5 yards

Step-by-step explanation:

7y+3y=10yards

15yards-10yards=5yards

Answer:

(5,40)

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1,8

Answer:

0.156

Step-by-step explanation:

step1. add 40 + 38 = 78

step2. divide 78 by 500 to get 0.156

hope im right

Answer:

a=60°

b=300°

Step-by-step explanation:

the triangle is equilateral so all angles are 60 °

a = 60°

b=360 - 60 =300°

Answer:

A is 60°, B is 300°

Step-by-step explanation:

If you look closely, you can tell that this circle is divided into 6 triangles, but there is only one showing. This triangle is 1/6 of the circle.

You can find B by find 1/6 of 360° and subtracting that from 360, (a full circle is 360°)

1/6 of 360° is 60°

360° - 60° = 300°, so B is 300°

Now lets find A. Triangles are 180°. This triangle is obviously an equilateral triangle, so the measurements will all be the same.

180 ÷ 3 is 60, so A is 60°

I hope this helped, please mark Brainliest, thank you!

Answer:

the answer would be 6.50

Step-by-step explanation:

unit price is the price for 1 pound in this example, to find it you have to divide 29.25 by 4.5 which would give you 6.50, hope this helps!

Answer:

b=-7    or the y-intercept is -7

Step-by-step explanation:

-7= =3(0)+b

-7=b

Answer:

y = 6

General Formulas and Concepts:

A box at an angle signifies a 90° angle.

Step-by-step explanation:

Step 1: Set up equation

The 2 angles are Complementary Angles. They must add up to 90°.

(6y + 5) + (8y + 1) = 90

Step 2: Solve for y

Answer:

y = 6

Step-by-step explanation:

So, the two angles sum up to 90 degrees.

Based on that, form an equation;

6y + 5 + 8y + 1 = 90

simplify,

6y + 5 + 8y + 1 = 90

14y + 6 = 90

inverse operations,

14y + 6 = 90

      -6     -6

14y = 84

/14     /14

y = 6

Answer:

18

Step-by-step explanation:

75 divided by 4 is 18.75

so there are 18 servings

Answer:

Step-by-step explanation:

let number be x

CASE 1) when x>13

2(x-13) = 4

2x - 26 = 4

2x = 30

x = 15

CASE 2) when x<13

2(13 - x) = 4

26 - 2x  = 4

26 - 4 = 2x

22 = 2x

11 = x

Answer:

2/15

Step-by-step explanation:

2/3*1/5=2/15

Answer:

0.133

Step-by-step explanation:

Answer:

Step-by-step explanation:

400 + 0.03x > 700

x^4+6x^3+35x^2+18x+9

All I can figure out sorry

Answer:

divide both number by the same amount

Answer:

2 = 15 deg

3 = 75 deg

5= 15 deg

Step-by-step explanation:

Answer:

1/25

Step-by-step explanation:

I worked out the equation!

9.1/125

10.-3/5

11. -2 1/20

Answer:

Step-by-step explanation:

2,23

4,24

6,25, etc

Answer:

Car Z has better petrol consumption. Choice C. Z

Step-by-step explanation:

Petrol Consumption

Car Y travels 105 miles on 3 gallons of petrol. The average consumption is 105 / 3 = 35 miles/gallon

Car Z travels 80 miles on 9 litres of petrol. Since 1 gallon=4.5 litres, the consumption of car Z is 9/4.5= 2 gallons. The average consumption is 80/2 = 40 miles/gallon.

This means that car Z has better petrol consumption. Choice C. Z

Answer: $945

Step-by-step explanation: 11.25x39 is 438.75 and 11.25x45 is 506.25 and you add them together which is 945

Answer:

The correct option is, Exponential Decay, $23,914.85.

Step-by-step explanation:

A farmer buys a tractor for $50,000.

It is provided that the the tractor depreciates 10% per year.

The exponential function for decay is:

[tex]y=a\cdot (1-r\%)^{t}[/tex]

Here,

a = initial value

r = decay rate

t = time

Compute the value of the tractor in 7 years as follows:

[tex]y=a\cdot (1-r\%)^{t}[/tex]

  [tex]=50000\times (1-0.10)^{7}\\\\=50000\times 0.4782969\\\\=23914.845\\\\\approx 23914.85[/tex]

Thus, the correct option is, Exponential Decay, $23,914.85.

Answer:

corresponding

Step-by-step explanation:

they are Supplementary . Because the total angle of angle 1 and 2 when added they should give 180°.

more information pls

Answer:

Step-by-step explanation:

1.  factor 4x^2+28x-36

= 4x² + 28x - 36

re-write 36=4*9,  and 28=4*7

= 4x² + 4 * 7x - 4 * 9

factor out common term:

2.  factor 125x^6-27y^15

= 125x⁶ - 27y¹⁵

=(5x²)³ - (3y⁵)₃

apply difference of cubes: x³-y³ = (x-y)(x²+xy+y²)

= (5x² - 36y⁵)(5²x⁴ + 5 * 3x²y⁵ + 3²y¹⁰)

refine:

3. multiply (4x-7)(5x-8)

apply the FOIL method

= 4x * 5x + 4x (-8) + (-7) * 5x + (-7) (-8)

Step-by-step explanation:

Hey there!

Given; The points are; (19,14) and (21,19).

Note: Use slope formula.

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]m = \frac{19 - 14}{21 - 19} [/tex]

Simplify it.

[tex]m = \frac{5}{2} [/tex]

Therefore, slope(m)= 5/2.

Hope it helps...

Answer:

slope = 5/2

Step-by-step explanation:

[tex]m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }[/tex]

[tex]\frac{19-(14)}{21-(19)}[/tex]

m=[tex]\frac{5}{2}[/tex]