Which system of equations is equivalent to the following system? (5 points) 2x + 4y = 14 4x + y = 20

a.2x + 4y = 14
−16x − 4y = −80

b.2x + 4y = 14
−4x + y = −20

c.4x + 8y = −28
4x + y = 20

d.−2x − 4y = 14
4x + y = 20

[tex]\\ \sf\longmapsto x_1y_2=x_2y_1[/tex]

[tex]\\ \sf\longmapsto 8y=-12(20)[/tex]

[tex]\\ \sf\longmapsto 8y=-240[/tex]

[tex]\\ \sf\longmapsto y=-240/8[/tex]

[tex]\\ \sf\longmapsto y=-60[/tex]

Answer:

Fiber

Step-by-step explanation:

Fiber is a carbohydrate and not a fat ------ it is all the polysaccharides that humans can't digest.

Answer:

fiber is not a type of fat

Answer:

The answer is C since she is adding 5 to both sides

Hope This Helps!!!

Answer:

9. b=120 8. b=43 11 b=84 12 b=23

Step-by-step explanation:

number 9 the angle is equals to 189 number 10 they're both the same and 11 is equal to 180, 12 the angle is equal to 90

Answer:

8b is 1.5*10^4=1.5*10000=15000

9. is 100*1.1=110meters to 100 yards

Hope This Helps!!!

Answer:

91

Step-by-step explanation:

Answer:

Yh its right.

Step-by-step explanation:

Have a great day!

Answer:

yeah it is correct

Step-by-step explanation:

and well hruu

In this exercise we have to use the combination knowledge to calculate the different possibilities, so we have to:

5184000 possible ways

in this way, when we deal with possibilities it is the same as talking about multiplication, so we have that:

[tex]24*24*10*10*10*9=5184000[/tex]

See more about possibilites at brainly.com/question/488013

Answer:

See below

Step-by-step explanation:

2% increase on 1750=

1750 * 1.02 = 1785

1785 per month gives 1785 * 12 = 21420 per year.

Divide 21420 by 48 weeks = 446.25 per week

Divide 446.25 by 45 hours = 9.92 per hour

Multiplication is the process of multiplying. Alicia's earnings per hour for the year 2017 is £9.92 per hour.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The monthly salary of Alicia in 2016 was £1750, which was increased by 2% in 2017. Therefore, the salary in 2017 will be,

(100%+2%) of £1750

= 1.02 × £1750

= £1785 per month

Since a year has 12 months, therefore, the earnings for the complete 2017 year will be,

Total Earning = 12 × £1785 = £21,420

As given Alicia worked 45 hours per week for 48 weeks, therefore, the number of hours will be

Number of hours = 45 hours × 48 weeks = 2,160 hours

Now, the earnings per hour can be written as,

Earning per hours = £21,420/2,160 hours = £9.92/ hour

Hence, Alicia's earnings per hour for the year 2017 is £9.92 per hour.

Learn more about Multiplication:

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The atom's place on the table is determined solely by its number of protons

Since the atomic number is equal to the number of protons an element contains, hence we can conclude that the atom's place on the table is determined solely by its number of protons

Learn more about periodic table here;https://brainly.com/question/14514242

Answer:

number of protons

Step-by-step explanation:

Answer:

45/3 = 15

They each where $15

Hope that helps

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

All you need to do is divide 45 by 3 and you get 15

Answer:

The proof of area is [tex]\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex] is done

Step-by-step explanation:

Area of regular hexagon[tex]=6\times[/tex] Area of equilateral triangle

Area of regular hexagon ABCDEF with side [tex]x[/tex]

[tex]=6\times \frac{\sqrt{3} }{4} x^{2} \\\\= \frac{3\sqrt{3} }{2} x^{2}[/tex]

Area of regular hexagon FGHIJK with side [tex]px[/tex]

[tex]= \frac{3\sqrt{3} }{2} (px)^{2}\\\\=\frac{3\sqrt{3} }{2} p^{2}x^{2}[/tex]

Area of shaded region

[tex]=\frac{3\sqrt{3} }{2} p^{2}x^{2}-\frac{3\sqrt{3} }{2} x^{2}\\\\=\frac{3\sqrt{3} }{2} (p^{2}-1)x^{2}[/tex]

Answer:

x = 7

Step-by-step explanation:

Given:

∠DEF = 117°

∠DEG = (12x + 1)°

∠GEF = (5x - 3)°

Find:

value of x

Computation:

∠DEF = ∠DEG + ∠GEF

117° = (12x + 1)° + (5x - 3)°

117° = 17 x - 2

x = 7

Answer:

7

Step-by-step explanation:

(12x + 1) + (5x - 3) = 117

17x - 2 = 117  Combine like terms

17x = 119   Add 2 to both sides

x = 7  Divide both sides by 17

Step-by-step explanation:

FYT and UYF are supplementary angles (together they cover all angles around Y on one side of the line TU, and that's is in total 180°).

so,

FYT = 180 - 42 1/8 = 137 7/8°

as 180 - 42 = 138, and then we subtract another 1/8. that gives 137 7/8.

Answer:

24

**Solving Steps**

2 x (2 x X - 6) = 84

4x-12=84

84+12=96

96/4 = 24

Hope it helps.

Answer:

4.2

Step-by-step explanation:

Answer:

y + 1 = 3(x - 8)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3 and (a, b ) = (8, - 1 ) , then

y - (- 1) = 3(x - 8) , that is

y + 1 = 3(x - 8)

The school band could have a profit of $ 60 for selling 30 T-Shirts.

For the sale of each T-shirt the school band have a net profit of $ 6, of which $ 4 are discounted by concept of flyers and, thus, this band has a final profit of $ 2 for the sale of a T-shirt. The total profit for T-shirt sales equals the product of number of T-shirts sold and the final profit for each T-shirt sold.

Hence, the profit for selling 30 T-shirts is shown below:

[tex]C = (\$\,2)\cdot (30)[/tex]

[tex]C = \$\,60[/tex]

The school band could have a profit of $ 60 for selling 30 T-Shirts.

To learn more on net profit issues, we kindly invite to check this verified question: https://brainly.com/question/13749820

Answer:

62 cm²

Step-by-step explanation:

The surface area (SA) is the sum of the areas of the 6 faces.

The opposite faces are congruent, then

SA = area of front/ back + area of top/ bottom + area of 2 sides

     = 2(5 × 3) + 2(5 × 2) + 2(3 × 2)

     = 2(15) + 2(10) + 2(6)

     = 30 + 20 + 12

     = 62 cm²

Answer:

w= 7

Step-by-step explanation:

8w + 9w - 1 + 62 = 180

17w + 61 = 180

17w = 119

w = 7

Answer:

not clear and I don't know the answer

200 US Dollar is 30837.86 Jamaican Dollar.

Divide total by number of days:

367/5 = 73.40 per day

Answer:

3x cm long.

Step-by-step explanation:

If one piece is x cm

and there are 3 together, presumeabley the same length

then you'd just need to multiply the length 3 times, therefore 3x respresents multiplying x 3 times.

Have a good day!

Answer:

3x cm long

Step-by-step explanation:

3 times x is 3x

Answer:

d

Step-by-step explanation:

Answer:

3.0

Step-by-step explanation:

0.8 times -3 = -2.4

5.4-2.4=3.0

So the answer is 3.0

Answer:

4.19

Step-by-step explanation:

v=4/3(pie x r^3)

v=4/3(pie x 1^3) = 4.18879

v=4.19

Answer:

61.9

Step-by-step explanation:

mark me as brainliest

Answer:

  62°

Step-by-step explanation:

The law of cosines is used to find the length of side k:

  k² = i² +j² -2i·j·cos(K)

  k² = 40² +80² -2·40·80·cos(92°) ≈ 8223.3568

  k ≈ 90.6827 . . . . . . . take the square root

Then the law of sines is used to find angle J.

  sin(J)/j = sin(K)/k

  J = arcsin(j/k·sin(K)) = arcsin(80/90.6827·sin(92°)) ≈ 61.84°

  J ≈ 62°

Answer:

b ≥ 8

Step-by-step explanation:

b + 4 + 2(-2b + 4) ≤ -12

b + 4 - 4b + 8 ≤ -12

-3b + 12 ≤ -12

-3b ≤ -24

b ≥ 8