Rewrite this expression using the distributive property then simplify.
2/3(6x+12)
Answers
a(b+c)=(ab)+(ac)
so 2/3(6x+12)=((2/3)6x)+((2/3)12)=12/3x+24/3=4x+8=4(x+2)
=12/3x+24/3
=4x+8
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Answers
his money into his piggy bank.
His piggy bank contains $70 and has only $5 bills
and $10 bills. He also knows he has 11 total bills in
the bank.
How many of each type of bill does André have in
the bank?
Answers
Answer:
André has 8 $5 bills in his piggy bank
Step-by-step explanation:
Let's call the number of $5 bills in André's piggy bank "x" and the number of $10 bills "y."
From the information given, we can create two equations to represent the situation:
André's weekly allowance: $5 per week.
Money earned for mowing the neighbor's yard: $10 per time.
André's total earnings can be represented by the equation:
Total Earnings = 5x (from allowance) + 10y (from mowing the yard)
We also know that the total amount in the piggy bank is $70:
Total Amount = 5x (from $5 bills) + 10y (from $10 bills)
We're also told that André has a total of 11 bills in his piggy bank:
Total Bills = x (number of $5 bills) + y (number of $10 bills) = 11
Now we have a system of two equations with two variables:
5x + 10y = 70
x + y = 11
We can solve this system of equations using substitution or elimination. Let's use the elimination method. First, we can multiply the second equation by 5 to make it easier to eliminate one of the variables:
5x + 10y = 70
5x + 5y = 55
Now, subtract the second equation from the first equation to eliminate x:
(5x + 10y) - (5x + 5y) = 70 - 55
5y = 15
Now, divide both sides by 5 to find the value of y (the number of $10 bills):
5y/5 = 15/5
y = 3
So, André has 3 $10 bills in his piggy bank. Now, we can use this value to find the number of $5 bills using the second equation:
x + 3 = 11
Subtract 3 from both sides:
x = 11 - 3
x = 8
So, André has 8 $5 bills in his piggy bank.
Answers
Answer:
x = 6
Step-by-step explanation:
The x-intercept of the equation is where the graph crosses the x-axis when y = 0. So, we simply plug in 0 for y:
2(0) - x = -6
0 - x = -6
-x = -6
x = 6
Alternatively, you can graph the equation into a graphing calc and analyze where the graph crosses the x-axis.
Answers
Then you make 6 2/3 a mixed fraction.
To do this, you multiply 6 with 3 and add 2 to it. Then you put the number over 3.
We get
6 X 3 = 18
18 +2 = 20
20/3
Now, we divide 15/1 with 20/3.
When we divide it, we actually cross multiply it. Basically, we flip the fraction and multiply it.
So we get 15/1 X 3/20 =
We get 45/20 which can be simplified to 9/5 which can be simplified to 2 1/4.
So the answer is 9/4 or 2 1/4.
6 2/3 = 20/3
15 / 20/3 = 15 * 3/20 = 45/20 = 9/4 = 2.25
Result: 15 divided by 6 2/3 equals to 9/4.
Answers
Sin x = 12/18.6
Sinx ≈ 0.6452
x ≈ Sin⁻¹(0.6452). Use a calculator.
x ≈ 40.18°
x ≈ 40.2°
Second option.
The measure of the angle x is 40.2 degrees after applying the sin ratio option second 40.2° is correct.
What is trigonometry?
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a right-angle triangle shown in the picture.
From the sin ratio:
sinx = side opposite to angle/hypotenuse
sinx = 12/18.6 = 0.645
x = sin⁻¹(0.645)
x = 40.17≈ = 40.2 degrees
Thus, the measure of the angle x is 40.2 degrees after applying the sin ratio option second 40.2° is correct.
Learn more about trigonometry here:
#SPJ5
Answers
Well, if 'y' has zeros at x=6 and x=-8,
then 'y' must be the product
y = (x - 6) (x + 8)
Perform the multiplication to get the quadratic function:
y = x² + 2x - 48