Answers
12y/12 = 144/12
y = 12
4x + 2 = 62
4x + 2 (-2) = 62 (-2)
4x/4 = 60/4
x = 15
A) x = 15, y = 12
hope this helps
the answer is A x=15 and y =12
Related Questions
The opening balance of one of the 31-day billing cycles for Lorenzo's credit card was $4100, but after 15 days Lorenzo made a payment of $2300 to decrease his balance, and it stayed the same for the remainder of the billing cycle. If his credit card's APR is 24%, how much more in interest would he pay for the billing cycle with the previous balance method than with the adjusted balance method? A.$83.57
B.$46.88
C.$36.69
D.$120.26
Answers
31 days = 7,400
15 days = payment of 4,900
16 days = 7,400 - 4,900 = 2,500
Method 1:
7,400 * 22% * 31/365 = 138.27
Method 2: adjusted balance
7,400 * 22% * 15/365 = 66.90
2,500 * 22% * 16/365 = 24.11
66.90 + 24.11 = 90.21
138.27 - 90.21 = 48.06
She would pay 48.06 more with the previous balance method than with the adjusted balance method.
Solution:
Adjusted Balance method
Amount in Lorenzo credit card in the beginning of month= $ 4100
Payment made = $ 2300
Amount in Lorenzo credit card after 15 days = $ 4100 -$ 2300= $ 1800
APR= 24 %
Monthly APR = [tex]\frac{24\times 31}{365}=2.038[/tex]%
2.03% of 1800=$ 36.54
Previous Balance method:
Amount possessed at the beginning of the month= $ 4100
APR= 24 %
Monthly APR = [tex]\frac{24\times 31}{365}=2.038[/tex]%
2.038% of 4100=$ 83.23
The interest that Lorenzo would pay for the billing cycle with the previous balance method than with the adjusted balance method
= $ 83.23 - $ 36.54
= $ 46.69→→ option (B)
what is the coefficient in the expression x / 3 + 7
Answers
Answer:
The coefficient of x is [tex]\frac{1}{3}[/tex]
7 is a constant
Step-by-step explanation:
[tex]\frac{x}{3} +7[/tex]
We need to find the coefficient of each term in the given expression
x/3 can be written as 1/3 times x
The coefficient is the number with the variable x
The coefficient of x is [tex]\frac{1}{3}[/tex]
7 is a constant
chelsea is 4 years older than her brother. translate the verbal description into an equation. use the verbibale c to represent chelsea age and b to represent her brothers age
Answers
=4
Irvan bought a drink for $1.90, a sandwich for $ 2.25, and an apple for $.75. What is the total amount of money he spent
Answers
1.90+.75++2.25=4.90
what is 31590 rounded to the nearest thousand
Answers
Rhea is a freelance writer. She works for multiple clients and has several sources of income. Some of her clients pay her more than $600 for her work. These clients always send a specific form to her where she has to report her gross payments. What form do you think the clients are sending to Rhea?
Answers
When washing your hands, the correct amount of time to scrub your hands is approximately: select one:
a. 30 seconds.
b. 5 seconds.
c. 10-15 seconds.
d. 1 minute?
Answers
Hope I helped :)
Find the value of x in the triangle shown below
How do I do this?
Answers
Solve for x: 14 = 0.1x 14 140 1.4 .14
Answers
The value of x that satisfies the equation 14 = 0.1x is 140.
Explanation:To solve the equation 14 = 0.1x, we can start by dividing both sides of the equation by 0.1 to isolate x. This gives us 14/0.1 = x, which simplifies to 140 = x. So, the value of x that satisfies the equation is 140.
.The population in the Northeast was 53,594,378 people in 2000 and 55,317,240 people in 2010. By about what percent did the population change? Did the population grow or shrink? Answer:
Answers
C = 100*(55,317,240 - 53,594,378) / 53,594,378 = 3.2%. This is positive, so the population grew
Find the inverse function for
\(\large\bf{f(x)= \sqrt{2x-6}}\)
I found that it was
\(\large\bf{\color{Red}{y=\frac{1}{2}x^{2} + 3}}\)
but I am to restrict the function would it be \(\bf{x \ge 0}\)?
Answers
that is correct hmmmm, yes, I think the restriction is also correct, it has to be x > 0, because, the domain on the original, has a restriction of x⩾3, otherwise the radicand turns negative.
now, the graph of that original function is a parabola sideways opening to the right, if you include both sides of the vertex of the parabola, it will not pass the vertical-line-test and not be a function, but if you restrict it to only positive roots, so it'll only be on the 1st quadrant, then it functions ok.
that means, the range of the original function, has to stick to only 0 or positive root values, now, recall that the range of the original is the domain of the inverse. Therefore, the domain of the inverse, will have to stick to only 0 or positive values, since it's bound to the same restriction as the original's range.
notice the picture below of both, the dashed section is the positive range for each, if you include it, the original will fail the vertical-line-test, and the inverse will fail the horizontal-line-test.
recall that for a function to have an inverse, they both must pass the vertical and horizontal line test, or be a one-to-one functions.
Decide if the following is a properly formed syllogism.
If you drink tea, you always add sugar.
If sugar is added, then the tea is sweeter.
Therefore, if it is sweet, then you’re drinking tea.
a. This is not a syllogism.
b. This is a syllogism.
Answers
Hope this helps!
Have a Nice Night!
-Nana
The following is not a properly formed syllogism.
Option A is the answer.
What is a syllogism?A syllogism is a form of argument where the conclusion follows from the truth of two or more given statements.
We have,
Statements:
If you drink tea, you always add sugar.
If sugar is added, then the tea is sweeter.
Conclusion:
If it is sweet, then you’re drinking tea.
This is not a conclusion from the truth of the given statements.
There is nowhere mention of tea in the statements.
Thus,
It is not a properly formed syllogism.
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Which are the solutions of x2 = –13x – 4? 0, 13 0, –13
Answers
Answer:
Option 3 and 4 - 0,-13
Step-by-step explanation:
Given : Expression [tex]x^2=-13x-4[/tex]
To find : What are the solutions?
Solution :
The quadratic formula of the quadratic equation [tex]ax^2+bx+c=0[/tex] is
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Comparing with general equation, [tex]x^2+13x+4=0[/tex]
where, a=1 ,b=13, c=4
Substitute in the formula,
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-13\pm\sqrt{13^2-4(1)(4)}}{2(1)}[/tex]
[tex]x=\frac{-13\pm\sqrt{169-16}}{2}[/tex]
[tex]x=\frac{-13\pm\sqrt{153}}{2}[/tex]
[tex]x=\frac{-13+\sqrt{153}}{2},\frac{-13-\sqrt{153}}{2}[/tex]
The value of x is [tex]x=-0.315,-12.68[/tex]
Approximately the solution of the expression is x=0,-13.
–2x + 3y = 21
3x – 2y = 21
–2x – 3y = 21
–2x + 3y = 7
Answers
Answer:
D.
Step-by-step explanation:
-2x+3y=7.I just took the test.
Factor the expression. X^4+6x^2-7 completely. Show work!
Answers
Let's let y = x^2
Substitute y into the equation
y^2 + 6y - 7
Now, we need two factors of -7 that add up to 6
-1 and 7 should work
Now, factor
(y - 1)(y + 7)
Substitute y=x^2 back into the equation
(x^2 - 1)(x^2 + 7)
Edit: Garydesir1 made an important note. (x^2 - 1) can be factorized into (x+1)(x-1)
Your full factorization is (x-1)(x+1)(x^2 + 7)
Have an awesome day! :)
The answer is: (x + 1)(x -1)(x² + 7)
----------------------------------------------------
Well, I am not sure how to explain this. But what you need to realize is that you have x^4. It means that you gonna need two x in the left and one x^2 on the right side.
I hope this help!
Explain how proving two triangles congruent can help prove parts of the triangle congruent.
Answers
Have an awesome day! :)
Find the missing side length.
Answers
(√3)² + b² = 5²
3 + b² = 25
b ² = 22
b = √22
hope this helps
what translation rule can be used to describe the result of the composition of (x,y) --> (x - 9,y - 2) and (x,y) --> (x + 1, y - 2) ? PLEASE HELPPPPP!!!!!
Answers
we know that
the rule of the translation A is
[tex](x,y)-----> (x-9,y-2)[/tex]
that means
the translation is [tex]9[/tex] units to the left and [tex]2[/tex] units down
the rule of the translation B is
[tex](x,y)-----> (x+1,y-2)[/tex]
that means
the translation is [tex]1[/tex] unit to the right and [tex]2[/tex] units down
therefore
the rule of the composition A+B is
[tex](x,y)-----> (x-9+1,y-2-2)[/tex]
[tex](x,y)-----> (x-8,y-4)[/tex]
that means
the translation is [tex]8[/tex] units to the left and [tex]4[/tex] units down
so
the answer is
[tex](x,y)-----> (x-8,y-4)[/tex]
The translation rule that describes the result of the composition of the transformations (x, y) --> (x - 9, y - 2) and (x, y) --> (x + 1, y - 2) is (x, y) --> (x - 8, y - 4). This rule is obtained by sequentially applying each transformation to (x, y).
Explanation:When we talk about compositions of translations in geometry, what we are doing is carrying out one translation after the other. So, if we have two translations: (x, y) --> (x - 9, y - 2) and (x, y) --> (x + 1, y - 2), we perform these operations sequentially.
First, we apply the transformation (x,y) --> (x - 9, y - 2). Then we take these new coordinates and apply the second transformation (x,y) --> (x + 1, y - 2). The result of this composition is (x - 9 + 1, y - 2 - 2) = (x - 8, y - 4), as you add (or subtract) the changes introduced by each translation.
So, the translation rule that can be used to describe the result of the composition of these transformations is: (x, y) --> (x - 8, y - 4).
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The area of circle z is 64 pi ft^2
What is the value of r?
Answers
we know that
The area of the circle is equal to
[tex]A=\pi r^{2}[/tex]
where
r is the radius of the circle
In this problem we have
[tex]A=64\pi \ ft^{2}[/tex]
substitute in the formula and solve for r
[tex]64\pi=\pi r^{2}[/tex]
Simplify
[tex]64=r^{2}[/tex]
Square root both sides
[tex]r=8\ ft[/tex]
therefore
the answer is
The value of r is [tex]8\ ft[/tex]
A grocery store gives away a $10 gift card to every 25th customer and a $20 gift card to every 60th customer. a. Which customer will be the first to receive both gift cards?After this customer receives both gift cards, what is the total amount in gift cards that the store has given away?
Answers
25,50,75,100,125,150,175,200,225,250,275,300
60,120,180,240,300
The 300th customer will receive both cards, and a total of $220 and 17 gift cards were given away.
A salad recipe calls for 1 3/4 cups of chopped tomatoes. The recipe calls for 4 1/7 times as many cups of lettuce as tomatoes. How many cups of lettuce do you need for this recipe?
4 1/7 cups
4 3/28 cups
7 1/4 cups
7 1/7 cups
Answers
Katlin divided a fraction by 1/2 the result was a mixed number. was the fraction less than or greater than 1/2? EXPLAIN.
Answers
When you divide by a fraction, it is equal to multiplying by its reciprocal. The reciprocal of 1/2 is 2/1, or just 2. Therefore, dividing by 1/2 equals the same thing as when you multiply by 2.
A mixed number has a whole number and a fraction added together. So, the mixed number must be greater than 1.
1/2 is equal to 0.5, and 0.5 multiplied by 2 equals 1. A fraction less than 1/2 multiplied by 2 would equal a number less than 1, while a fraction greater than 1/2 would equal a number greater than 1.
Because a mixed number must be greater than 1, and a fraction greater than 1/2 multiplied by 2 would be greater than 1, the fraction that resulted in a mixed number after being multiplied by 2 must have been greater than 1/2.
What is the answer to the question above? I need help with it.
Answers
The equation would be: y=$3x+$30
Where y is the total cost and x is the number of tickets/entry.
Non-club members:
y=$6x+30
Find their intersection to find at what point both members would be pay equally.
$6x+$30=$3x+30 (knowing that their y values should be the same, we can equal them)
6x=3x +30-30
6x-3x=0
3x=0
x=0
Therefore, at 0, both members would be paying the same amount, $30.
Hope I helped :)
Add.
(2x + 5) + (3x - 7)
A) x - 2
B) x + 2
C) 5x - 2
D) 5x + 2
Answers
Answer:
C) 5x - 2
Step-by-step explanation:
When parentheses are preceded by a + sign, they may be immediately removed. Two additions and one subtraction are called for here: 2x + 5 + 3x - 7. This is 5x - 2.
(2x + 5) + (3x - 7)
2x + 5 + 3x - 7
2x + 3x - 7 + 5
5x - 2.
Hope this helps!!!
Make t the subject of the formula 2(t-5) = y
Answers
t - 5 = y/2
t = y/2 + 5
anything else?
What is the missing polynomial? ? – (20 – 4x – 5x2) = 20 – 7x2 A. 4x-12x^2 B. 4x-2x^2 C. 40-4x-12x^2 D. 40-4x-2x^2
Answers
Simplify
2x x y x 3
Answers
2x times y times 3 = 6xy
or,
2xxyx3= 6x^3y
To simplify 2x * y * 3, multiply the coefficients (2 and 3) and the variables (x and y) separately, resulting in the simplified expression 6xy.
Explanation:To simplify the expression 2x * y * 3, we can multiply the coefficients and the variables separately. The coefficients are 2 and 3, so their product is 2 * 3 = 6. The variables are x and y, so their product is xy. Putting it all together, the simplified expression is 6xy.
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Which type of light is most likely to cause burns?why?
Answers
Wendi worked for $6 an hour for the first month she was on the job. She was then given a raise to $6.24 an hour. What was the percent of her wage increase?
Answers
I hope I helped..
Determine which equations below, when combined with the equation 3x minus 4y equals 2, will form a system with no solutions. choose all that apply.
Answers
3x - 4y = 2
3x/2 - 2y = 1
Another dependent equation is when you multiply the whole equation with a number, say 3.
(3x - 4y = 2)3
9x - 12y = 6