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ArbitrLikvidat [17]
3 years ago
8

The graph shows two lines, A and B.

Mathematics
1 answer:
Papessa [141]3 years ago
8 0
Part A: One solution because the lines intersect one time.
Part B: (3,4) or x=3 and y=4 (depending on how you have to write it)
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What is the solution for the system of equations {4x−3y=36x−2y=4?
dimaraw [331]

Answer:

x = 1/25

y = 32/25

Step-by-step explanation:

3 0
3 years ago
18x (14 - 9) ÷[12 - (19 - 13)] = what is the answer​
marysya [2.9K]

Answer:

15

Step-by-step explanation:

18 . ( 14 - 9 ) ÷ [ 12 - ( 19 - 13 ) ]

18 . ( 5 ) ÷ [ 12 - 6 ]

90 ÷ 6

15

5 0
3 years ago
Laura collects nickels and dimes she has a total of 47 nickels and dimes she calculated the value of the coins and found out she
Gre4nikov [31]

Answer:

Number of dimes = 34

Number of nickels = 13

Step-by-step explanation:

Total number of coins = 47

Coins are in the form of nickels and dimes.

Value of a nickel = 5 cents

Value of a dime = 10 cents

Total value of coins = $4.05 or 405 cents

To find:

Number of nickels and dimes?

Solution:

Let number of nickels = x

Money value of nickels = 5x

Let number of dimes = y

Money value of dimes = 10y

Total value of coins = 5x+10y

This value is given as equal as 405.

As per question statement, the equations can be written as:

5x+10y = 405 ..... (1)\\x+ y = 47 ...... (2)

Multiplying equation (2) with 5 and subtracting from equation (1):

10y - 5y = 405 - 235  \\\Rightarrow 5y = 170\\\Rightarrow y = 34

Number of dimes = 34

Number of nickels  = 47 - 34 = 13

6 0
3 years ago
Express $0.\overline{5}$ as a common fraction in lowest terms.
andreyandreev [35.5K]
<h3>Answer:  5/9</h3>

=======================================================

Explanation:

0.\overline{5} means that the 5's go on forever because of that horizontal bar over top. So we can write it as 0.\overline{5} = 0.55555\ldots

The three dots indicate it goes on forever following that pattern.

Let

x = 0.55555....

Multiply both sides by 10 to move the decimal point 1 spot to the right

10x = 5.55555....

Notice how both x and 10x involve a decimal number such that we have a string of 5's going on forever. If we subtract the two equations, then 10x-x becomes 9x, while the (5.55555....) - (0.55555....) simplifies to 5. The decimal portions cancel out when we subtract since they line up perfectly. We're effectively subtracting 5-0 when we cross off the decimal portions.

After those subtractions, we're left with 9x = 5 which solves to x = 5/9 when you divide both sides by 9.

Use of a calculator should show that 5/9 = 0.555555.... to help confirm the answer. Your calculator may show the last digit to be a 6 instead of a 5, but this is due to rounding. Ideally you should have a string of infinitely many 5's, but the calculator can only how so many digits.

3 0
3 years ago
For a birthday party Mr. Perkins or do you eat chocolate chip cookies and 16 sugar cookies each cookie is the same price he also
Ilya [14]

Question is not proper, Proper question is given below;

For a birthday party, Mr. Perkins orders 8 chocolate chip cookies and 16 sugar cookies. Each cookie is the same price. He also picks up a cupcake for himself, which costs $2.75. The total bill is $44.03. What is the cost of a cookie?

Answer:

The Cost of the cookie will be $1.72.

Step-by-step explanation:

Given:

Mr Perkins orders 8 chocolate chip cookies and 16 sugar cookies.

Since cost of both the cookies are same then Let us assume the cost of cookies be 'x'.

Total cost of the cookies = (8 + 16)x = 24x

Cost of Cup cakes = $2.75.

Total bill he pays = $44.03

We need to find the cost of each cookies.

Now we know that Total bill he pays is equal to sum of Cost of cookies and Cost of Cup cakes he bought.

Framing in equation form we get;

44.03 = 24x + 2.75

Now Subtracting both side by 2.75 using Subtraction property we get;

2.75+24x-2.75 = 44.03 - 2.75\\\\24x = 41.28

Now Dividing both side by 24 using Division property we get;

\frac{24x}{24} = \frac{41.28}{24}\\\\x=1.72

Hence The Cost of the cookie will be $1.72.

6 0
3 years ago
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