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Novay_Z [31]
3 years ago
7

If 3x + 9y = 21 , find the value of 4(x + 3y)

Mathematics
1 answer:
mr Goodwill [35]3 years ago
7 0

Answer:

25

Step-by-step explanation:

The method that should be used is substitution:

Do this by taking 3x+9y=21 and transforming it to be y=-\frac{1}{2} x+\frac{7}{3}

Once you have this, substitute the value of y that we just found into 3x+9y=21 to find the value of x: 3x+9(-\frac{1}{2} +\frac{7}{3} ) =21

Solve for x. You should get 1.5

Once you have this, Plug in 1.5 for the value of x into the y= equation that we found in the beginning: y=-\frac{1}{2} (1.5)+\frac{7}{3}

Solve for y. You should get 1.583 (19/12)

Plug in the values of x and y that we found into the last equation to find its value: 4(1.5+3(1.583))

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X|x integars between 4 &amp; 8 lost the elements in the set<br>​
Paladinen [302]

Answer:

The set of integer between 4 and 8 = { 5, 6, 7 }.

Step-by-step explanation:

Set:

A set is a well-defined  collection of distinct objects, elements encloses in curly bracket.  

For example.

set of vowels = { a, e, i, o, u }

set of any three Capital alphabets = { A, B ,Z }

set of cars = { Ferrari, Volvo, Mercedes, Audi }

Now we want set of integer between 4 and 8

Integer: All the positive and negative natural numbers are called integers.

-1, -2, -3, 1, 2, 3, 4, 5, 6 ,7 , 8 ..

The set of integer between 4 and 8 = { 5, 6, 7 }.

4 0
3 years ago
Zeolite organized a canned food drive. She worked a total of 12 2/3 hours. She worked 3 1/6 hours each day that she worked. How
galina1969 [7]
She worked 4 days on the food drive because to do math with these two fractions, you have to give them the same denominator. So, 12 2/3 becomes 12 4/6. Then, how many times does 3 go into 12? 4 times so the answer is 4. Hope this helped :)
7 0
2 years ago
If you buy a radio that cost $860 and sales tax is 6%. Find the total price you would pay.
pashok25 [27]

Answer: $911.60

Step-by-step explanation: 860 time 6% is 911.60

8 0
2 years ago
Find y.<br> 30<br> 20 <br> Need help asap
Neporo4naja [7]

Answer:

y = 10

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = \frac{1}{2} , then

sin30° = \frac{opposite}{hypotenuse} = \frac{y}{20} = \frac{1}{2} ( cross- multiply )

2y = 20 ( divide both sides by 2 )

y = 10

7 0
2 years ago
It is estimated that the average amount owed for student loans in 2010 was $25,250 per student.  If the interest rate for studen
Nostrana [21]
Given:
loan amount: 25,250
original interest rate: 3.4%
new interest rate: 6.8%
term: 10 years.

Assuming that simple interest formula is used.
I = P * r * t
I = interest
P = principal
r = interest rate
t = term/time

I = 25,250 * 3.4% * 10 years
I = 8,585

I = 25,250 * 6.8% * 10 years
I = 17,170

17,170 - 8,585 = 8,585 Additional interest paid using the new interest rate.

Using an online loan repayment calculator: Here are the following data:
Loan Balance:$25,250.00
Adjusted Loan Balance:$25,250.00Loan
Interest Rate:6.80%
Loan Fees:0.00%
Loan Term:10 years
Minimum Payment:$0.00
Monthly Loan Payment:$290.58
Number of Payments:120
Cumulative Payments:$34,869.23
Total Interest Paid:$9,619.23

<span><span>Loan Balance:$25,250.00
</span><span>Adjusted Loan Balance:$25,250.00
</span><span>Loan Interest Rate:3.40%
</span><span>Loan Fees:0.00%
</span><span>Loan Term:10 years
</span><span>Minimum Payment:$0.00</span>
<span>Monthly Loan Payment:$248.51
</span><span>Number of Payments:120</span>
<span>Cumulative Payments:$29,820.59
</span><span>Total Interest Paid:<span>$4,570.59</span></span></span>
6 0
3 years ago
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