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Crank
3 years ago
14

Solve the system of equations using the substitution method. -5x + 21 = 18 y= 2x+8

Mathematics
1 answer:
Vlad1618 [11]3 years ago
8 0

Answer:

(-3;2)

Step-by-step explanation:

if the first equation is -5x+21=18y, then:

\left \{ {{y=2x+8} \atop {-5x+21=18*(2x+8)}} \right. \ => \ \left \{ {{y=2x+8} \atop {-5x+21=36x+144}} \right. \ => \ \left \{ {{y=2x+8} \atop {41x=-123}} \right. \ => \ \left \{ {{y=2} \atop {x=-3}} \right.

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Sarah had three times as many quarters as nickels. She had $3.20 in all. How many quarters did she have?
marin [14]

She have 12 quarters

<h3>what is unitary method?</h3>

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

There are two situation in Unitary method:

There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

If she had 12 quarters, then

12 * .25 = $3 ( quarters)

4 * .05 = $.2 ( in nickels)

Hence, she have 12 quarters.

Learn more about unitary method here:

brainly.com/question/22056199

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5 0
3 years ago
Read 2 more answers
245 is a natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers?
koban [17]

Answer: Everything but "irrational number"

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

Explanation:

The number 245 is a natural number since the set of natural numbers is {1, 2, 3, 4, 5, 6, ...} basically the set of counting numbers. More technically, the set of natural numbers is the set of positive whole numbers.

The number 245 is also an integer. It does not have any decimal or fractional parts. The set of integers includes negative whole numbers as well.

The number 245 is a whole number for similar reasoning as it being an integer.

The number 245 is a rational number. Why? Because we can write 245 as 245/1. In other words, 245 = 245/1. Because we can form a fraction of two integers, this shows us 245 is rational. Note: 0 cannot be in the denominator.

The number 245 is NOT an irrational. If a number is rational, then it cannot be irrational. The very definition of "irrational" means "not rational". An example of an irrational number is sqrt(2). We cannot write this as a fraction of two integers.

The number 245 is a real number. If you haven't learned about complex numbers yet, then every number you encounter is a real number.

----------

To summarize, 245 is a natural number, a whole number, an integer, a rational number, and a real number.

A much shorter way to say this is "everything but irrational" since irrational is the only non-answer.

7 0
3 years ago
What is 175.42 rounded to the nearest tenth?
weqwewe [10]
175.4 because 4 is the tenth place and 2 would round down
4 0
3 years ago
2x - 6y = 12 into a table of values
Reika [66]
2x – 6y = 12

for x = 1
2 - 6y = 12
y = -10/6
y = -5/3

For x = 2
4 – 6y = 12
y = -8/6
y = -4/3

For x = 3
6 – 6y = 12
<span>y = -1</span><span> <span><span> <span>

Hence
x = </span> </span> <span> <span> 1 then y = -5/3
</span></span><span>x = 2 then y = -4/3
</span><span>x = 3 then y = -1</span></span></span>
4 0
3 years ago
The original price of a dress is $39.99. Julie buys the dress when it is on sale for 10% off its original price. Two weeks later
Anit [1.1K]

Answer: julie spent 4 more dollars than mindy

Step-by-step explanation: julie spent 36 dollars in the dress while mindy spent 32 dollars

4 0
3 years ago
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