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Viktor [21]
2 years ago
12

Given 8x-3y=-21, 3x+y=-10; Prove x=-3

Mathematics
1 answer:
Mashcka [7]2 years ago
3 0
The numbers start from the top
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Alannah has two lengths of ribbon.
ankoles [38]

Answer:

Longest possible length for each of the shorter lengths of ribbon is 9 cm because greatest common factor for both 36 and 45 is 9.

Step-by-step explanation:

Alannah has two ribbons one length is 36cm and other is 45cm.

It asked to find shorter length of ribbons that each cut into equal pieces with out no ribbon left over.

So, let's find greatest common factor for both 36 and 45.

Let's prime factor each number

36= 2*2*3*3

45= 3*3*5

So, GCF is product of common factors for both numbers.

GCF= 3*3 =9

So, longest possible length for each of the shorter lengths of ribbon is 9 cm.

Learn more about GCF in brainly.com/question/21612147.

7 0
1 year ago
According to New Jersey Transit, the 8:00 a.M. Weekday train from Princeton to New York City has a 90% chance of arriving on tim
ser-zykov [4K]
Digit numbers.

Let the numbers 00 to 89 represent that the train is on time.

Let the numbers between 90 and 99 represent that the train is late.

Randomly select 6 numbers, with repetition allowed.

Count the number of times the train is late.

Repeat this simulation multiple times.

You will most likely obtain a result of between 0 and 2 times that the train is late.
6 0
2 years ago
The local pizza shop sells several special items.
Anna35 [415]

Answer:

Tax for Italian Salad=$0.20

Tax for Lasagna= $0.43

Tax for  Spaghetti =$0.21

Tax for Fettuccini Alfredo   =$0.36

Step-by-step explanation:

Hi, to answer this question we have to multiple the price of each item by the tax percentage in decimal form (divided by 100):

Italian Salad =$3.99  

  • Tax for Italian Salad= 3.99 x (5/100) = 3.99 x 0.05 =$0.20

Lasagna =$8.50  

  • Tax for Lasagna= 8.50 x (5/100) = 8.50 x 0.05 =$0.43

Spaghetti =$4.29  

  • Tax for Spaghetti = 4.29x (5/100) = 4.29 x 0.05 =$0.21

Fettuccini Alfredo =$7.17

  • Tax for Fettuccini Alfredo = 7.17 x (5/100) = 7.17 x 0.05 =$0.36

Feel free to ask for more if needed or if you did not understand something.  

6 0
2 years ago
Read 2 more answers
Cecily is comparing two checking accounts. Checking account A has a monthly fee of $16 and a per-check fee of $0.08, while check
Tpy6a [65]

Answer:

(1) 0.08x + 16

(2) 0.08x + 16=0.12x + 14

Step-by-step explanation:

Checking account A has a monthly fee of $16 and a per-check fee of $0.08

Per check fee is a constant rate that is 0.08

Let x represents the number of checks Cecily writes per month

1 check fee = 0.08

x checks fee = 0.08x

monthly fee is $16 , we add that as well

So total monthly fee charges for account A  is

0.08x + 16

checking account B has monthly fee of $14 and a per-check fee of $0.12.

1 check fee = 0.12

x checks fee = 0.12x

monthly fee is $14 , we add that as well

So total monthly fee charges for account B  is

0.12x + 14

(2) To find number of checks write per month for the accounts to charge the same in fees

WE set both expression , account A = account B

0.08x + 16=0.12x + 14

Subtract 0.12x on both sides

-0.04x + 16 = 14

Now subtract 16 on both sides

-0.04x = -2

Divide by -0.04 on both sides

So x= 50



7 0
2 years ago
garrett has one dollar less than three times as much money as liz has. Together they have $179. How much money does Garett have?
jolli1 [7]
Garett has $134 and Liz has $45
5 0
2 years ago
Read 2 more answers
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