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Gennadij [26K]
3 years ago
10

9a-3d=31 -3d+1d=-1 Solve by elimination

Mathematics
1 answer:
larisa86 [58]3 years ago
4 0

Answer:

a = 65/18 , d = 1/2

Step-by-step explanation by elimination:

Solve the following system:

{9 a - 3 d = 31 | (equation 1)

-2 d = -1 | (equation 2)

Multiply equation 2 by -1:

{9 a - 3 d = 31 | (equation 1)

0 a+2 d = 1 | (equation 2)

Divide equation 2 by 2:

{9 a - 3 d = 31 | (equation 1)

0 a+d = 1/2 | (equation 2)

Add 3 × (equation 2) to equation 1:

{9 a+0 d = 65/2 | (equation 1)

0 a+d = 1/2 | (equation 2)

Divide equation 1 by 9:

{a+0 d = 65/18 | (equation 1)

0 a+d = 1/2 | (equation 2)

Collect results:

Answer: {a = 65/18 , d = 1/2

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Im 10 years old and my sister is 4 years younger than me. 60 years later how old is my sister?
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Your sister would be 66.
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8 0
3 years ago
How did you compute sums of dollar amounts that were not whole numbers?
soldier1979 [14.2K]

Answer:

$7.34

Step-by-step explanation:

To compute sum of dollars that are not whole numbers. Using the sum of$5.89 and$1.45 as an illustration :

$5.89 + $1.45

Taking the whole numbers first:

$5 + $1 = $6

Take the sum of the decimals :

$0.89 + $0.45 = $1.34

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Step-by-step explanation:

8 0
2 years ago
A sweet factory produces 5 different chocolate bars. the different flavors are always produced in the same proportions, for ever
IRISSAK [1]

a. There are 933 chocolate bars

b. There are 1200 chocolate bars

c. There are 1580 chocolate bars

<h3>How to calculate the number of chocolate bars</h3>

Since there are 5 different flavors,

let

  • x = orange flavored bars,
  • y = coconut flavored bars,
  • z = coffee flavored bars,
  • a = strawberry flavored bars and
  • b = honeycomb flavored bars and
  • X = total number of bars

Since the different flavors are always produced in the same proportions, for every 4 coconut flavored bars 5 honeycomb 6 orange 1 coffee and 4 strawberry

So, the ratio of their proportions are x:y:z:a:b = 6:4:2:1:5

So, the total ratio is T = 6 + 4 + 1 + 4 + 5 = 20

<h3>a. What is the total number of chocolate bars if there are 280 orange flavored bars?</h3>

Since we have 6 orange flavored bars, the ratio of orange flavored bars to total is 6/20

So, the amount of orange flavored bars is x = 6/20 × X

Making X subject of the formula, we have

X = 20x/6

So, if there are 280 orange bars, there will be

X = 20x/6

X = 20 × 280/6

X = 5600/6

X = 933.33

X ≅ 933 chocolate bars

So, there are 933 chocolate bars

<h3>b. What is the total number of chocolate bars if there are 960 coconut flavored bars?</h3>

Since we have 4 coconut flavored bars, the ratio of coconut flavored bars to total is 4/20

So, the amount of coconut flavored bars is y = 4/20 × X

Making X subject of the formula, we have

X = 20y/4

So, if there are 960 coconut flavored bars, there will be

X = 20y/6

X = 20 × 960/4

X = 5 × 240

X = 1200 chocolate bars

So, there are 1200 chocolate bars

<h3>c. What is the total number of chocolate bars if there are 79 coffee flavored bars?</h3>

Since we have 1 coffee flavored bars, the ratio of coffee flavored bars to total is 1/20

So, the amount of coconut flavored bars is z = 1/20 × X

Making X subject of the formula, we have

X = 20z

So, if there are 79 coffee flavored bars, there will be

X = 20z

X = 20 × 79

X = 1580 chocolate bars

So, there are 1580 chocolate bars

Learn more about ratio here:

brainly.com/question/1127546

#SPJ1

7 0
1 year ago
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