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3 years ago

Solving equations with rational numbers

Mathematics

1 answer:

Nonamiya [84]3 years ago

6 0

Answer:

P= 2

T=6

3) 252$

Step-by-step explanation:

1) set up your equation 3/8p=6/8 then divide 3/8 from both sides (remember when you divide fractions you would multiply by the reciprocal so 3/8 x 8/6. Also make sure you simplify)

2) Do the same here. 38/7 divided by 19/21

3) Turn the fraction into an improper fraction then multiply 126 by that amount (3/6)

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Find m A. 12 B. 22 C. 52 D. 38

Nikolay [14]

C. 52

Work:

(5x - 22) + (4x + 4) = 90

9x - 18 = 90

9x = 108

x = 12

4(12) + 4 =

48 + 4 = 52

6 0

3 years ago

If you roll a six-sided dice, what is the probability of rolling an odd number?

fomenos

Step-by-step explanation:

A six sided dice contains even numbers on three sides and odd numbers on remaining three sides.

Therefore,

Probability of rolling an odd number

$= \frac{3}{6} \\ \\ = \frac{1}{2}$

5 0

3 years ago

Read 2 more answers

Given the quadriatic equation

vazorg [7]

Answer:

⇒ The given quadratic equation is x2−kx+9=0, comparing it with ax2+bx+c=0

∴ We get, a=1b=−k,c=9

⇒ It is given that roots are real and distinct.

∴ b2−4ac>0

⇒ (−k)2−4(1)(9)>0

⇒ k2−36>0

⇒ k2>36

⇒ k>6 or k<−6

∴ We can see values of k given in question are correct.

8 0

1 year ago

I DONT KNOW THESE! HELP!

kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

$2y+18=3x-1\\ \\6x-3=17-5y$

Solve this system of two equations:

$\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.$

Multiply the first equation by 2 and add two equations:

$2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2$

Substitute it into the first equation:

$2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5$

21. Opposite angles in the parallelogram are congruent, so

$11x+5=10y+6$

Consecutive angles are supplementary, so

$6x-y+11x+5=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.$

From the second equation

$y=17x-175$

Substitute it into the first equation:

$11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12$

22. Opposite angles in the parallelogram are congruent, so

$2x-5=3y-12$

Consecutive angles are supplementary, so

$2x-5+7y+x=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.$

From the first equation

$x=-3.5+1.5y$

Substitute it into the second equation:

$3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22$

23. Opposite sides in the parallelogram are congruent, so

$2x+9=4y-9\\ \\3x-5=2y+8$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.$

Multiply the second equation by 2 and subtract it from the first equation:

$2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11$

Substitute it into the first equation:

$2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10$

3 0

3 years ago

HELP ASAP!! LOTS OF POINTS!! WILL MARK BRIAN-LIST

KiRa [710]

Answer:

LSA = 532 yds ^2

Step-by-step explanation:

We do not add the triangles in because they are the bases and the bases do not get added in the lateral surface areas.

From left to right

Rectangle 1

A = lw = 9.9 *20 =198

Rectangle 2

A = lw = 6.8 *20 =136

Rectangle 3

A = lw = 9.9 *20 =198

Add them together

198+136+198

532

LSA = 532 yds ^2

7 0

3 years ago