Answer:
[tex]\boxed {x = 12}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]72 + (7x + 24) = 180[/tex]
Add both [tex]72[/tex] and [tex]24[/tex] together:
[tex]72 + (7x + 24) = 180[/tex]
[tex]96 + 7x = 180[/tex]
-Subtract [tex]96[/tex] to both sides:
[tex]96 - 96 + 7x = 180 - 96[/tex]
[tex]7x = 84[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{7x}{7} = \frac{84}{7}[/tex]
[tex]\boxed {x = 12}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]12[/tex].
The value of x in the equation is 12
The given equation is: 72 + (7x+24) = 180
In order to determine the value of x, take the following steps:
1. Expand the terms in the bracket
72 + 7x+ 24 = 180
2. Combine similar terms
7x = 180 - 72 - 24
3. Add similar terms together
7x = 84
4. Divide both sides of the equation by 7
7x / 7 = 84/ 7
x = 12
In order to check if the value of x gotten is correct, substitute for x in the equation
72 + (7(12)+24) = 180
72 + 84 + 24 = 180
A similar question was solved here: https://brainly.com/question/31437?referrer=searchResults
2. Determine the amount of interest owed after 2 years on a $850 loan at 12.25% if no payments
are made. LTD
Enter your answer
The amount of interest is 208.74$
Here we have given
Amount (P)=850$
Interest (r)=12.25%
Time (t)=2 years
we have to calculate the simple interest
What is the formula for simple interest?
[tex]I=\frac{PRT}{100}[/tex]
Plug the given value in above formula
[tex]I=\frac{850*12.25*2}{100}[/tex]
Simplify above equation we get
[tex]I=\frac{850*12.25*2}{100}\\\\I=\frac{20874}{100}\\\\I=208.74[/tex]
Therefore the amount of interest is 208.74$
To learn more about the interest visit:
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Are the lines parallel? y = x + 4 and y = x-2
A. yes, they have the same slope and a different y-intercept
B. no, they are not parallel
Answer:
A
Step-by-step explanation:
Remember that parallel lines have the same slope.
The y-intercept does not matter.
We have the two equations:
[tex]y=x+4[/tex]
And:
[tex]y=x-2[/tex]
The slope is the coefficient in front of the x.
In the first equation, we can rewrite it as:
[tex]y=(1)x+4[/tex]
Therefore, the slope of the first equation is 1.
Similarly, for the second equation, we can rewrite it as:
[tex]y=(1)x-2[/tex]
The slope of the second equation is also 1.
Therefore, since their slopes are equivalent, they are parallel.
Thus, our correct answer is A.
39
Which statement is true of the numbers
and -0.328?
6 Which equ
rational nu
А
0.33.
A Only 39 is rational.
B
0.33
B
Only -0.328 is rational.
C 0.35
Both numbers are rational.
D 0.3
Both numbers are not rational.
Which of the following points are correct for the equation (multiple answers)
Y = 3x + 2
(-1, -3)
(0,5)
(1,5)
(2-3)
Answer:
1,5 is your answer
Y=5 and X=1
Insert it in the equation
5=3(1)+2
5=3+2
5=5
Hence proved!
the Venn diagram is shown below
n(A), n(B) and n(AnB) are given and n(AUB)'s complement is asked.
HELP PLS
BRAINLIEST IF CORRECT
Answer:
I think it would be 1 and 3
Step-by-step explanation:
The correct answer is the first, second, and third.
1st Option-
This is pretty simple if you understand how a number line works. All the numbers on the right side are greater no matter what.
2nd Option -
All numbers on all sides could be rational, as we don't know what kind of number line this is.
3rd Option-
This is also correct because like the previous statement, the number line is unknown. We could have repeating numbers as long as the ones on the left side are less than the ones on the right.
4th Option -
This is incorrect because no matter what number line you have, the numbers on the left side are ALWAYS less than the ones on the right.
6(x-2=4(x+3) what does x equal
Hey mate here is your answer.
➛ 6(x-2) = 4(x+3)
➛ 6x-12 = 4x + 12
➛ 6x - 4x = 12 + 12
➛ 2x = 24
➛ x = [tex] \frac{24}{2} [/tex]
⛬ x = 12
One solution to a quadratic equation is x= -5/3 What is true about any remaining solutions?
There are two or more complex solutions.
There is exactly one more real solution.
There is exactly one complex solution.
There are no complex solutions.
There are no other real solutions.
There are at least two more real solutions.
thers more than one answer i believe but im completely lost
Answer:
There is exactly one more real solution or there is exactly one more complex solution
Step-by-step explanation:
A quadratic equation is a polynomial of degree two
What this means is that a polynomial has two answers.
Now, from the question, we have an answer already which is a real root
Then the other answer which we do not have can take the form of two answers
It can either be a complex root or other wise be a real root
So the answer to this question is that ;
There is exactly one more real solution or there is exactly one more complex solution
Add my snaq k1nglean if anyone wants to ttrade you gotta be 16+
PLZ HELP ME
In 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 2 3 of the price in 2011.
• Write an expression for the price of gold per ounce in 2016.
• Explain how you found the expression.
Answer:
[tex]2x + 1200[/tex]
Step-by-step explanation:
[tex].5x + 300 \\ 3(.5x + 300) = 1.5x + 900\\ 2(1.5x + 900) = 3x + 1800 \\ \frac{2}{3} (3x + 1800) = 2x + 1200[/tex]
Each new line represents the change stated in the question.
What is the average rate of change in height over the entire 5 seconds?
Answer:“To get the average rate of change between 2 points...” To get the average rate of change between 2 points, plug in their coordinate values into the equation (y2-y1)/(x2-x1). The values come from the points (x1,y1) and (x2,y2).
Step-by-step explanation:
Drag numbers to complete the table for missing values of x, x2, and x3.
Answer:
Values are:
x x²
10 100
5
HELP PLEASEEEE!!
Choose the equation with the correct grouping symbols.
A. 45 + 45 ÷ (3 ÷ 3) = 20
B. 45 + [45 ÷ (3 ÷ 3)] = 20
C. [45 + (45 ÷ 3)] ÷ 3 = 20
D. 45 + (45 + 3 ÷ 3) = 20
Answer:
C
Step-by-step explanation:
(45+(15))/3=20
Write an equation in slope-intercept form of the line that passes through (-2,5) and (-4,-5)
Answer:
so the slope-intercept form is y=mx+b
so your's is....
y= 5x +15
Step-by-step explanation:
Hope this helps!!
The equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through (-2,5) and (-4,-5)
The equation of the line can be calculated as follows:
y + 5 = (-5 - 5)/(-4+2)[x + 4]
y + 5 = 10/2[ x + 4]
y = 5x + 20 - 5
y = 5x + 15
Thus, the equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.
Learn more about the linear equation here:
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Shannon's little brother is 7 weeks old. She is exactly
3 years and 3 days older than he is. How old is Shannon in days?
Assume that a year is 365 days.
Answer:
1147 days
Step-by-step explanation:
3x365= 1095
7x7=49
1095+49+3=1147
Two pounds of grapes cost $6. How many pounds of grapes can
you get for $1? (hint: write a repeating decimal as a fraction)
Answer:
1/3 of a pound .333
Step-by-step explanation:
6/2 =3
1/3= .333
Answer:
1/3 to 1 and 1 to 3
Step-by-step explanation:
1. Multiply (3)(−4)(2). (5 points)
Answer:
-24
Step-by-step explanation:
Answer-24
Step-by-step explanation:
3 x -4 x 2
6 x -4 =
-24
Which point lies on the graph of the function shown below y=-x^2+5x-3
A.(1,4)
B.(0,3)
C.(2,3)
D.(-2,2)
Answer:
C: (2,3)
Step-by-step explanation:
to solve this algebraically just plug in the x and y values of the points and see if they are true, but here is the graph to juse show you
which two ratios quantities that are proportional
A. 9/5 and 19/10
B. 25/25 and 20/24
C. 4/6 and 10/16
D. 15/10 and 21/14
Answer:
A
Step-by-step explanation:
9/5 and 19/10 so yeah hope it helps
Answer:
C. 15/10 and 21/14
Explanation:
A P E X
A fishing boat with two people on it runs out of gas while out in a bay. The people set off an emergency flare from a height of 2 meters above the water. The flare has an initial vertical velocity og 30 meters per second. How long does it take the flare to reach its maximum height? What is that height?
Answer:
Step-by-step explanation:
time taken to reach the max height is expressed according to the projectile equation;
tmax = u/g
Given u = 30m/s
g is the acceleration due to gravity = 9.81
t = 30/9.81
t = 3.0secs
hence it will take the flare 3.06secs to reach its maximum height.
Max height = u²/2g
Max height = 30²/2(9.81)
Max height = 900/19.62
Max height = 45.87m
If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m
help show work
assig 8
(a)solve the inequality
(b)graph the solution on the real number line.
(c)write the solution in interval notation.
29
30
31
32
33
Answer: see below
Step-by-step explanation:
29) -5x ≥ 30
÷ -5 ↓ ÷ -5
x ≤ -6
Graph: ←--------- ·
-6
Interval Notation: (-∞, 6]
30) -4x < -40
÷ -4 ↓ ÷ -4
x > 10
Graph: o---------→
10
Interval Notation: (10, ∞)
31) 2x - 5 ≥ -11
+5 +5
2x ≥ -6
÷ 2 ÷ 2
x ≥ -3
Graph: · ---------→
-3
Interval Notation: [-3, ∞)
32) 8 - 3x > 20
-8 -8
-3x > 12
÷ -3 ↓ ÷ -3
x < -4
Graph: ←---------o
-4
Interval Notation: (-∞, -4)
33) 4x - 11 < 7x + 4
-7x -7x
-3x - 11 < 4
+ 11 +11
-3x < 15
÷ -3 ↓ ÷ -3
x > -5
Graph: o---------→
-5
Interval Notation: (-5, ∞)
Change the number below into scientific notation. 3,450,000,000
Answer:
3.450*10^4
Step-by-step explanation:
PLSS HELPP
Choose the equation for the line in slope-intercept form.
A y=2x+3
B y=1/2x+3
C y=1/2x−3
D y=−1/2x−3
Answer:
C or D, they look the same
Step-by-step explanation:
1. The graph passes through (2, -4) and (6, 0). You can use the rise over run formula to find the slope, so if you were to use the line to draw a triangle it would go to the right 2 spaces and up 1. Therefore the slope is 1/2.
2. Then you just need to see where the line crosses the y-axis (the vertical line). You can see here that it crosses at (0, -3).
3. Writing it in slope-intercept form is y = mx + (or -) b. Soooooo it would be y = 1/2x -3.
I hope this helped!
brainly wont lemme do nun
Answer:
why tho bro bro
Step-by-step explanation:
why tho bro bro
Please HELP!!!!!!!!!!!!!!!!
Answer:
sum = (180)(20) = 3600
Step-by-step explanation:
First...
(n-2)180˚ = Sum Of Interior Angles or SOIA
So...
(22-2)180 = SOIA
Then...
20*180 = SOIA
Finally...
3600 = SOIA
Jayvon has 33.6 points in a competition. He loses 5.5 points,
Write and then evaluate an addition expression to determine Jayvon's current points.
Answer:
33.6+(-5.5)=28.1
Step-by-step explanation:
Since positive times negative is equal to negative, we can multiply -5.5 by an addition symbol, making it an addition problem, and making it the same expression.
To evaluate the expression, we can do 33.6-5.5.
When adding or subtraction decimals, write it stacked like a normal problem, and line up the decimal places, like so.
33.6-
5.5
Then you can subtract normally, getting 28.1
When three points lie on the same line
A fruit bowl contains 2 bananas, 5 oranges, and 4 apples.
Carol wrote the ratio 511. What could Carol’s ratio represent? Explain your reasoning based upon what you know about ratios.
Answer:
Oranges: to all fruit in the bowl.
Step-by-step explanation:
A ratio is similar to a fraction in the way that it represents a part to a whole.
There are 11 fruits total in the bowl (the whole), and oranges are the only fruit in the bowl that equal 5 (the part).
Answer:
Step-by-step explanation:
Oranges: to all fruit in the bowl.
Step-by-step explanation:
A ratio is similar to a fraction in the way that it represents a part to a whole.
There are 11 fruits total in the bowl (the whole), and oranges are the only fruit in the bowl that equal 5 (the part).
Mike has $800 in his bank account. Over the last 5 years, the amount in his account has went down to $300. What integer represents the average decrease in value PER YEAR?
Answer:
The average decrease each year is 60 because 300 divided by 5 is 60.
HOPE THIS HELPS
What is the location of H' after the image is rotated 180 degrees?
Answer:
The answer is B
Step-by-step explanation:
If you were to rotate the shape 180* it would turn 2 times leaving the point "H" at (5, -3)