2 years ago

Solve for y: 2y + 4x = 20

Mathematics

1 answer:

patriot [66]2 years ago

5 0

Answer:

2 x 4 + 4 x 3 = 20

Step-by-step explanation:

i hoped this helped!

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The sum of three consecutive terms in an arithmetic sequence is 27, and their product is 585. find the three terms.

sammy [17]

$\text{the three consecutive terms in an arithmetic sequence}\\a;\ a+d;\ a+2d\\\\\text{system of equals}\\\\ \left\{\begin{array}{ccc}a+a+d+a+2d=27\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}3a+3d=27&|:3\\a(a+d)(a+2d)=585\end{array}\right\\ \left\{\begin{array}{ccc}a+d=9&\to d=9-a\\a(a+d)(a+2d)=585\end{array}\right\\$
$\text{substitute to the second equation}\\\\a(a+9-a)(a+2(9-a))=585\\\\a(9)(a+18-2a)=585\\9a(18-a)=585\ \ \ |:9\\a(18-a)=65\\18a-a^2=65\ \ \ |\text{change the signs}\\a^2-18a=-65\\a^2-2a\cdot9=-65\ \ \ |+9^2\\\underbrace{a^2-2a\cdot9+9^2}_{(a-b)^2=a^2-2ab+b^2}=-65+9^2\\(a-9)^2=16\to a-9\pm\sqrt{16}\\a-9=-4\ \vee\ a-9=4\ \ \ |+9\\a=5\ \vee\ a=13\\\\d=9-5=4\ \vee\ d=9-13=-4$
$Answer:\ a=5;\ a+d=9; a+2d=13\ vee\ a=13;\ a+d=9;\ a+2d=5$

5 0

2 years ago

A network charges $855,000 for a 30-second ad during a major televised sports event. The advertisers must purchase a minimum of

blondinia [14]

2,565,000 is the answer

7 0

2 years ago

A bag contains red, green, and yellow marbles. The probability of selecting a red marble is 35%. What is the probability of not

KonstantinChe [14]

Probablity of selecting a red marble= 35%

Probablity of not selecting a red marble= 100%-35%

=65%

Hope it helps you. Please mark brainliest.

6 0

2 years ago

Find two numbers whose sum is 50 and whos difference is 22

pentagon [3]

Answer:

36 and 14

Step-by-step explanation:

Create an equation

x+x-22=50

Combine like terms

2x-22=50

Add 22 on both sides

2x=72

divide 72 by 2

x=36

subtract 22 from 36

14+36=50

Hope this helps! :P

5 0

2 years ago

Read 2 more answers

A successful basketball player has a height of 6 feet 9 inches, or 206 cm. Based on statistics from a data set, his height con

Sphinxa [80]

Answer:

The player's height is 4.45 standard deviations above the mean.

Step-by-step explanation:

Z-score:

Measures how many standard deviations a measure X is above or below the mean.

His height converts to the z score of 4.45.

This means that:

The player's height is 4.45 standard deviations above the mean.

8 0

2 years ago