Answer: x=-12
Step-by-step explanation:
To solve for x, you want to use algebraic properties to isolate x.
[tex]\frac{x}{4}=2+\frac{x-3}{3}[/tex] [subtract both sides by [tex]\frac{x-3}{3}[/tex]]
[tex]\frac{x}{4}-\frac{x-3}{3}=2[/tex] [get common denominator]
[tex]\frac{3x}{12} -\frac{4x-12}{12} =2[/tex] [subtract]
[tex]\frac{-x+12}{12} =2[/tex] [multiply both sides by 12]
[tex]-x+12=24[/tex] [subtract both sides by 12]
[tex]-x=12[/tex] [divide both sides by -1]
[tex]x=-12[/tex]
Now, we know that x=-12.
Consumers are paying record amounts of fees for overdrawing their bank accounts. In 2007, bankes this and credit unions collected $649 on in overdraft fees, which is $144 on more than in 2001. What is the
percent of increase?
Answer: 1.3 percent increase (to the nearest 10th
Step-by-step explanation: to figure out the percent of increase, you have to take the $144 away from 649, which is $505, then divide so:
$649 - $144 = $505
$649 / $505 = 1.28...or ~1.3
Given f(x) = |x| and g(x) = 2x-3. Solve for (f ⚬ g)(x)
Step-by-step explanation:
(f o g)(x)
= f(g(x))
= f(2x - 3)
= |2x - 3|
Hilda rented a canoe the rental rate is $20 flat fee and 12.50 per hour. She was charged a total of 67.50. Which equation could be used to find h, the number of hours she rented the canoe.
Answer:12.50×20
Step-by-step explanation:
12.50. ×20=67.50
Multiply. 1/4 x 2/5 Express your answer in simplest form. 1/3 1/10 2/9 3/20
Answer: 1/10
Step-by-step explanation:
1/10 which means that 2/9 Was the wrong answer
a car slows from 44m/s to 16m/s over 3s what is its average acceleration?
the intersection of a line and plane is a line
What value of n makes the equation true?
Answer:
n=10
Step-by-step explanation:
You need n to be 10 because: y^20= (y^10)^2
Answer:
n = 10
Step-by-step explanation:
(2x⁹yⁿ) * (4x²y¹⁰) = 8 x¹¹ y²⁰
use the rules of exponents to simplify the expression.
2¹ x⁹ yⁿ * 4¹ x² y¹⁰
use the commutative property of multiplication
2¹ * 4¹ x⁹ x² yⁿ y¹⁰
add exponents of the same base:
8 x⁹ ⁺ ² y ⁿ ⁺ ¹⁰
back to original equation:
8 x⁹ ⁺ ² y ⁿ ⁺ ¹⁰ = 8 x¹¹ y²⁰
therefore
the value of n = 10
Please help this math problems
Answer:
1)85
2)-3
3)-5
4)98
5)2
6)-3
7)-5
8)-1
9)-4
10)2
11)535
Step-by-step explanation:
Write the expression as the sine cosine or tangent of an angle calculator.
Answer:
hello your question is incomplete here is the complete question
write the expression as the sine, cosine, or tangent of an angle.
[tex]sin 60 cos 15 + cos 60 sin 15[/tex]
answer : [tex]sin 60 cos 15 + cos 60 sin 15 = sin 75[/tex]
Step-by-step explanation:
To write the expression as the sine,cosine or tangent of an angle we will employ the trigonometry identity
[tex]sin 60 cos 15 + cos 60 sin 15[/tex] can be represented in the form of ;
sin( u + v ) = sin u cos v + cos u sin v --------- (1)
comparing equation 1 with the given expression
u = 60 and v = 15
therefore writing the expression in the form of the sine of an angle would be the answer
= sin( 60 + 15 ) = sin 60 cos 15 + cos 60 sin 15
hence sin ( 75 ) = sin 60 cos 15 + cos 60 sin 15
$20,000 was invested in a 3-year simple interest money market account. After 3 years,
the account balance was $32,000.
What was the interest rate for the account?
Step-by-step explanation:
Amount = principal + S. I.
S. I. = p * t * r / 100
32000 = 20000 + 20000 * 3 * r / 100
12000 = 600 r
r ( Rate of interest) = 20 %
Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?
"Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit
rate."
"Look at the graph of the relationship. Count the number of units up and the number of units to the right one must
move to arrive at the next point on the graph. Write these two numbers as a fraction."
"Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit
rate."
"Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is
the difference in the corresponding x-values."
Answer:
The correct answer I believe is A.
A.) “Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit rate.”
Step-by-step explanation:
I took the test on edge :)
Answer:
A
Step-by-step explanation:Lol
If the object has leaves, then it is a tree.
Answer:
False
Step-by-step explanation:
Answer:
false
Step-by-step explanatio
Fruits and vegatables have leaves too, but yet there not a tree
You are 8 inches below the balance point height. write an integer that represents your height.
Answer: -8
Step-by-step explanation:
Your below so the integer will be negative.
What are the quadrants of the standard (x, y) coordinate plane below that contain points on the graph of the equation 4x - 2y = 8 ?
Answer:
Step-by-step explanation:
4x-2y=8
divide by 8
[tex]\frac{x}{2}+\frac{y}{-4}=1\\x~intercept=2\\y~intercept=-4\\also ~2y=4x-8\\y=2x-4\\slope=2\\[/tex]
so graph lies in third and fourth and first quadrants.
The graph lies in third and fourth and first quadrants.
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.
Given:
4x - 2y = 8
Now, make the equation in standard form
4x/8 - 2y/8 = 8/8
x/2- y/4 = 1
Now,
y- intercept is -4
and x- intercept is 2.
Also, we can write 4x - 2y = 8 as
y= 2x-4 and slope= 2
Hence, graph lies in third and fourth and first quadrants.
Learn more about graph here:
https://brainly.com/question/10712002
#SPJ2
A gallon of gas cost $2.16. Rob buys 13.5 gallons of gas. How much did he pay?
Answer:
$29.16
Step-by-step explanation:
Each gallon of gas is $2.16.
13.5 gallons of gas is 2.16 (13.5) = $29.16.
Chris can be paid in one of two ways. Plan A is a salary of $400 per month, plus
a commission of 7% of sales. Plan B is a salary of $692 per month, plus a
commission of 3% of sales. For what amount of sales is Chris better off selecting
plan A?
Answer:
$7300
Step-by-step explanation:
For Chris to select plan A, Plan A salary should be greater than that of plan B. Let the amount of sales be x
[tex]400 + \frac{7}{100} x > 692 + \frac{3}{100} x \\ \frac{7}{100} x - \frac{3}{100} x > 692 - 400 \\ \frac{4}{100} x > 292 \\ x > 7300[/tex]
How much is X? NEED HELP RIGHT NOW 20 POINTS!!!
Alvin's age is three times Elga's age. The sum of their ages is 116. What is Elga's age?
years old
Answer:
Let Elga's Age be x and Alvin's age be 3x
x + 3x = 116
4x = 116
x = 116/4
x = 29
Therefore , 3x = 3(29) = 87
Elga's Age - 29
Alvin's Age - 87
I need help and it’s due today
Answer:
45
Step-by-step explanation:
Find the inverse of the equation f(x)=ln(x/x-2)
Answer:
inverse of f(x) = (2e^x)/(e^(x)-1)
Step-by-step explanation:
Ms. Albero decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 2 scoops of powdered drink mix with a half gallon of juice. One of Ms. Albero's students said show will mix 8 scoops with 2 gallons of water to make 4 pitchers. How can you use the concept of proportional relationships to decide whether the student is correct? *
Answer:
Yes, the student is correct.
Step-by-step explanation:
2*4=8 scoops
1/2*4=2 gallons
Since they were multiplied by the same number, the student is correct. It's like making it 4 times, but all at once.
I hope this was helpful!
expressions that are equivalent to -8.
Answer:
f(1)=5x-13=-8
Step-by-step explanation:
5-13=-8
or
f(1)=5x-13=-8
What number must be added to 36 to obtain −17?
Barbara's Catering Company makes the best fruit salad despite using only four ingredients. They use four apples for every mango, two pears for every apples, and one pineapple for every mango. If they use 8 pineapple in their most recent batch, how many recent batch l, how many total pieces of fruit did they use?
Answer:
2
Step-by-step explanation:
Choose the most appropriate name for the function:
The output from a machine depends on the input to the machine.
A. Output(input), or O(i)
B. Input(output), or O(i)
C. Input(output), or I (0)
D. Output(input), or i(0)
What is the domain of the given function?
{(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
21
Find an equation of the line containing the given pair of points.
(4,5) and (12,8)
Given g(x)=−2x2+1, find the indicated values: g(-4)
A recipe says that 2 cups of dry rice will serve 6 people. How many cups of rice are needed to serve 45 people?
(Please Help)
Answer:
7.5 cups pf rice
Step-by-step explanation:
45 divided by 6
Abigail drove 84 miles in 4 hours. If she continued at the same rate, how far would she travel in 14 hours?
Answer:
210 miles
Step-by-step explanation:
84 divided by 4 equals 21
21 times 10 equals 210
Answer:
205 miles
Step-by-step explanation:
If the 14 hours is including the hours Abigail has already driven, then she would travel 121 miles for the six hours, for a combined total of 205 miles.