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2 years ago

2. Determine whether each event is impossible,

Mathematics

1 answer:

Gre4nikov [31]2 years ago

3 0

Answer:

likely is the awnser

Step-by-step explanation:

likely is the awnser

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Solve for x, y, and z

zloy xaker [14]

Answer:

The solution is x=1,y=2,z=3

Step-by-step explanation:

The given system of equations is ;\

2x−3y+4z=8...(1)

3x+4y−5z=−4...(2)

4x−5y+6z=12...(3)

Make x the subject in equation (1)

$x=\frac{8+3y-4z}{2}...(4)$

Put equation (4) into equation (2) and (3)

$3(\frac{8+3y-4z}{2})+4y-5z=-4$

Multiply through by;

$3(8+3y-4z)+8y-10z=-8$

Expand;

$24+9y-12z+8y-10z=-8$

Simplify;

$17y-22z=-32...(5)$

Equation (4) in (3)

$4(\frac{8+3y-4z}{2})-5y+6z=12$

$2(8+3y-4z)-5y+6z=12$

$16+6y-8z-5y+6z=12$

$y-2z=-4$

$y=2z-4...(6)$

Put equation (6) into equation (5)

$17(2z-4)-22z=-32$

$34z-68-22z=-32$

$34z-22z=-32+68$

$12z=36$

z=3

Put z=3 into equation (6)

y=2(3)-4=2

Put y=2 and z=3 into equation 4

$x=\frac{8+3(2)-4(3)}{2}=1$

The solution is x=1,y=2,z=3

3 0

2 years ago

Help plz! Will mark as brainiest JUST HELP PLZ

Volgvan

1) The lengths of the other 2 sides are 51 feet.

Isosceles triangles have at least 2 equal sides. The base is 60 feet, so we can assume that the other 2 sides are equal

162 = 60 + 2x

x = the equal sides of the triangle.

162 - 60 = 102

102 = 2x

Divided by 2

51 = x

51 + 51 = 102. 102 + 60 = 162

Pool 1: 311.38ft.

8*19.4 = 155.2

8 * 5.7 * 2 = 91.2

5.7 * 5.7 = 32.49/2 (because its a triangle) = 16.254*4 = 64.98

155.2 + 91.2 + 64.98 = 311.39

Pool 2: Either 863.94ft or 484 + 121πft

22 * 22 = 484

22/2 = 11, So, the radius of the half circle is 11

Circle area = (pi)r^2

11*11 = 121

pi * 121 = 121pi

Using 3.14 substitute: 3.14 * 121 = 379.94

379.94 + 484 = 863.94

Pool 3: 207ft

Rhombus area = pq/2

18 * 12 = 216

216/2 = 108

11 * 18 = 198/2 = 99

99 + 108 = 207

7 0

2 years ago

Solve for points....

Ivan

Answer:

Step-by-step explanation:

For Mr Rowley,

Ratio of Number of home works to the number of exit tickets = $\frac{12}{14}$

= $\frac{6}{7}$

= 6:7

For Ms Rivera,

Ratio of Number of home works to the number of exit tickets = $\frac{36}{42}$

= $\frac{6}{7}$

= 6:7

Since, both the ratios are same, fractions will be proportional.

$\frac{12}{14}=\frac{36}{42}$

7 0

2 years ago

Find the equation in slope-intercept form (10,4) that is perpendicular to y=5x-3

TEA [102]

Perpendicular equation: y=-1/5x + 6

7 0

2 years ago

Shop sells bagles for 5 per dozen how much bagles can you buy for 50

spayn [35]

120 Bagels
Explanation:
if you get 12 bagels for 5 dollars, and your wondering how many you’d get for 50 dollars, 5 times 10 is 50 and 10 times 12 is 120. That doesn’t make the most sense but yes

3 0

2 years ago