MATHEMATICS MIDDLE SCHOOL

If devin has 3 times as many nickels as quarters and they have a combined value of 200 cents how many of each coin does he have

Answers

Answer 1
Answer:

Devin has 15 nickel coins and 5 quarter coins.

Step-by-step explanation:

Total worth = 200 cents

1 nickel = 5 cents

1 quarter = 25 cents

Let,

Nickels = x

Quarters = y

According to given statement;

5x+25y=200    Eqn 1

x = 3y    Eqn 2

Putting x=3y in Eqn 1

5(3y)+25y=200\n15y+25y=200\n40y=200

Dividing both sides by 40

(40y)/(40)=(200)/(40)\ny=5

Putting y=5 in Eqn 2

x=3(5)\nx=15

Devin has 15 nickel coins and 5 quarter coins.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

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a bill at a restaurant was $24.20 before tax. The sales tax rate was 0.05, and the customer also included a $5.00 tip. How much did the customer spend at the restaurant, in dollars?

Find the discount. regular price = $100; discount rate = 35%



A.
$350


B.
$35


C.
$3.50


D.
$65

Answers

As the amount is $100 dollars, you will have to find what 35% of this is. The best way to do this is to divide both 100 and 35 by ten, giving you ten and 3.5. AS 10 is 10% of 100, you should then multiply then, by three and half, therefore, giving you 35- meaning the discount is $35 dollars. Hope this helps
100\cdot35\%=100\cdot0.35=\$35

A soccer team played 160 games and won 65 percent of them. How many games did it win ?

Answers

160x .65 = 104 games

When you add the same number to both sides of an inequality , does the inequality remain true

Answers

Yes, The Reason Why, Is If You Add The Same To Both Sides, It Still Remains True. For Example:
10*5+2 < 10*6
But, If You Add 6 To Both Sides:
10*5+8< 10*6+6.
It Is The Same As
50+8<60+6.
In Conclusion, This Means That As Long As You Add The Same Number To Both Sides, Not Just One, But Both Sides, Your Inequality Will Always Stay The Same! (Unless You Change Something That You Aren't Supposed To Like Making Is (10+6)*5+2 < 6*10+6)
It would be the same, because the number is the same, so an example:
4*3 and 5*3, it would be 12 and 15, but if you add 5 to each side, then it would be, 4*3+5 and 5*3+5, then you would get 17 and 20. So to answer the question, yes the inequality would remain true because the number that you are adding to each side is the same. It is the same with dividing and multiplying and subtracting.

$46 shoes; 2.9% tax. Find the total cost to the nearest cent.

Answers

To get the answer we have to find 2.9% of 46 and add it to 46.
2.9% is 0.029
46*0.029=1.334$
46+1.334=47,334
Now we can round
47,334 is 47,33$ - its the answer

Give an example of a rule for a pattern. List a set of numbers that fit the pattern

Answers

Answer:

Pattern rule tells us the start number of pattern and how the pattern continues.

For instance, 5, 8, 11, 14 , 15....

Step-by-step explanation:

Pattern rule tells us the start number of pattern and how the pattern continues.

For instance, 5, 8, 11, 14 , 15....

In the above sequence, it starts with 5 and add 3.

Here the common difference between each successive term is 3.

The rule = first + 3

Let's take "a1" is the first term. "n" is the number of terms, "d" is the common difference

an = a1 + (n-1)d

Here a1 = 5

Let's find the second term, n = 2

a2 = 5 + (2 -1)d

a2 = 5 + (1)(3)

a2 = 8

Similarly, we can find the other terms using the rule

an = a1 + (n-1)d

Hope this will helpful.

Thank you.
input+7=output
1+7=8
4+7=11 
i answer anyway

Jill is making lemonade. The original concentration was 25 mL of concentrate to 2 L of water. People found that too strong so she decreased the concentration to 20 mL of concentrate to 2 L of water. By what percentage did she decrease the concentrate?A) 2%
B) 3%
C) 5%
D) 20%

Answers

100%= 25mls

20/25 x 100 = 80%

100%-80%= 20%

Answer:

Step-by-step explanation:

The answer is D)20%
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