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3 years ago

Two friends share some money into a ratio 7:2 what fraction does the first friend get

Mathematics

2 answers:

Nataliya [291]3 years ago

6 0

The first friend gets 7/9 of the money

MArishka [77]3 years ago

3 0

The answer is: 7/9. Hdhfhfhfnfnf

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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

What is the slope of the line that passes through the points (-3,12) and (6,24)?

Irina18 [472]

Answer: slope = 4/3

Step-by-step explanation:

(24-12)/(6- -3)

= 12/9

= 4/3

7 0

3 years ago

pet supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less tha

worty [1.4K]

To find how many bags the store needs to sell, you have to divide 5225 by 5.50.

$(5225\ dollars)/(5.50\ dollars\ per\ bag) = 950\ bags$

4 0

3 years ago

Brian and Michael are getting high speed internet access at the same time. Brian’s provider charges $60 for installation and $42

SCORPION-xisa [38]

Answer:

4 months.

Step-by-step explanation:

We can write formulas for the amount each person paid after x months. These will be

Brian = 60 + 42.95x

Michael = 0 + 57.95x

So for example, after 1 month Brian will have paid 102.95 for the installation and first month, while Michael will have paid only 57.95 (I put the zero in the equation to make it look like the familiar y-intercept form). We are trying the find the month at which they have paid equal amounts. Solve for x in the equation

60 + 42.95x = 57.95x

60 = (57.95 - 42.95)x

60 = 15x

x = 4

After four months.

5 0

3 years ago

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In 2012, the population of a city was 6.08 million. The exponential growth rate was 2.69% per year

finlep [7]

Answer:

deeznutshehehehehe

Step-by-step explanation:

lolol gegegeheheh

7 0

2 years ago