Given:
The equation is
[tex]-5x-16=8[/tex]
To find:
The error and correct solution.
Solution:
We have,
[tex]-5x-16=8[/tex]
Add 16 on both sides.
[tex]-5x-16+16=8+16[/tex]
[tex]-5x=24[/tex]
Divide both sides by -5.
[tex]\dfrac{-5x}{-5}=\dfrac{24}{-5}[/tex]
[tex]x=-\dfrac{24}{5}[/tex]
Third step is incorrect because he divide the equation by 5 instead of -5.
Therefore, the correct solution is [tex]x=-\dfrac{24}{5}[/tex].
h(x) = x2 + 1 k(x) = x – 2
(h + k)(2) =
2
⇒ 5
(h – k)(3) =
Evaluate
Answer:
5, 9, and 17
Step-by-step explanation:
Did it on Edg. 2021 and got it right.
Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.
___ km/hr is the average speed and ___ km/hr is the average velocity for the whole journey that Eric takes.
Answer:
Average speed = 3.17 km/h and Average velocity = 1.5 km/h
Step-by-step explanation:
It is given that,
Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.
Average speed = distance/time
Distance = 7km + 2.5 km = 9.5 km
Time = 2 h + 1 h = 3 h
Average speed,
[tex]s=\dfrac{9.5\ km}{3\ h}\\\\s=3.17\ km/h[/tex]
Average velocity = displacement/time
Displacement = 7 km +(-2.5 km) = 4.5 km
Average velocity,
[tex]v=\dfrac{4.5\ km}{3\ h}\\\\v=1.5\ km/h[/tex]
So, 3.17 km/h is the average speed and 1.5 km/h is the average velocity for the whole journey that Eric takes.
PLEASE HELP
Interest rates have dropped steadily over the last six months. Each month they have decreased by 1/4 point.
A. Write an expression to represent the total change of rates over the last six months.
B. Find the total change. Make sure to express your answer as a mixed number in lowest terms.
Solve the system by substitution.
Y = 10x
7x + 3y =
37
Answer:
x=1 , y=10
Step-by-step explanation:
i attached photo of steps of solution
The expression -3m - [2m + (5 - m)] + 7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.
this is how
Step-by-step explanation:
gusto ko lang magka points
7x-3 = 5x+ 15
I have to write an explanation for this problem using the words variable term and constant term... can someone help me?
Answer:
7x-3 = 5x+ 15
2x-3 = 15 (you will need to subtract the variables to get 2x)
2x = 18 (next, add the constants to result up to 18)
x = 9 (lastly, divide the constant 18 with the coefficient 2 to get 9)
400.34 + 678.397
210
Answer:
1078.73721
Step-by-step explanation:
HELP this is on my quartly check!!! If ∠A is supplementary to ∠B, ∠A and ∠C are vertical angles, and m∠C = 45, what is m∠B?
Answer:
135
Step-by-step explanation:
As, Angle A and angle B are supplementry,
So, A+B=180
Angle A and Angle C are vertically opposite angles then, Angle A= Angle C
So angle C = 45°
So angle A = 45
Now, A + B = 180
45 + B = 180
B= 180 - 45
B= 135°
Hope this helps!
1f f(x) = ***, g(x) = x+4, and h(x) - 3x-2, what is (nofog)(x)?
o (hofog)(x) = -2
o (hofog)(x) = 3X-8
o (hºfog)(x) = *=14
(nofog)(x) - 3x-4
Answer:
first option y + 7 = –(x + 6) is correct option
Step-by-step explanation:
SV bisects angle RST. if m angle RST = 62, what is m angle RSV?
See attachment for math work and answer.
The measure of ∠RSV is 31°.
Given that, SV bisects ∠RST=62°.
We need to find the value of m∠RSV.
What is an angle bisector?The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts. For example, an angle bisector of a 60-degree angle will divide it into two angles of 30 degrees each. In other words, it divides an angle into two smaller congruent angles.
Since SV bisects ∠RST into equal parts.
That is, ∠RSV=∠TSV
So, ∠RST=∠RSV+∠TSV
⇒∠RST=2∠RSV
⇒62°=2∠RSV
⇒∠RSV=31°
Therefore, the measure of ∠RSV is 31°.
To learn more about an angle bisector visit:
brainly.com/question/12896755.
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can someone PLEASE help me on this PLEASE.
The given table of values represents a linear equation. What is the slope?
Answer:
2
Step-by-step explanation:
slope=∆y/∆x
slope=(9-7)÷(3-2)
slope= 2.
Jen bought 5 CD's for $57.50. What was the unit price?
Answer:
$11.50 per CD
Step-by-step explanation: u have to make 5 into 1, thats divinding. Then u divide $57.50 by 5, there's your unit price :)
54/x = 9/7
What does X=
Answer:
the answer is 42.
Step-by-step explanation:
9 times 6 is 54.
7 times 6 is 42.
Answer:
It'd be 486/7 or 69 and 3/7
Step-by-step explanation:
(-1, 2) and (0,4)
Find the slope of the line passing through the given points
Expressions equivalent to (7^3 x^4)^0
Answer:
Step-by-step explanation:
Any number or variable to the power of 0 is 1
(7^3 x^4)^0 = 1
can u guys help me pls
Answer: The answer to number 1 is 91 adults
Step-by-step explanation: Since 1 on the ratio is 13 people, 13 x 7 is 91.
PLEASE HELP QUESTIONS ARE BELOW FIRST TO ANSWER WILL BE VOTED BRAINLIEST
Answer:
1. 7.5
2. 7
3. 8
4. 1.44
5. 2
6. 4
Step-by-step explanation:
Use cross multiplication and then divide by the coefficient of x.
Here is how to solve number 1. Solve the rest of them like this.
2.5(15) = 5x
37.5 =5x
5 5
x=7.5
Please mark me brainliest and I hope this helps.
Answer:
1. x = 7.5
2. x = 7
3. x = 8
4. x = 1.44
5. x = 2
6. x = 4
Step-by-step explanation:
All you have to do is cross multipy and then solve.
What is the midpoint between (2,4) and (10,16)?
Answer:
the midpoint would be (5,9)
Answer:
(6, 10 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1+y_{2} } }{2}[/tex] )
Here (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (10, 16) , thus
midpoint = [tex]\frac{2+10}{2}[/tex], [tex]\frac{4+16}{2}[/tex] ) = ( [tex]\frac{12}{2}[/tex], [tex]\frac{20}{2}[/tex] ) = (6, 10 )
(a) On the grid above, draw the line x = 3
The Graph will look like this:
The graph will show a vertical line crossing the x-axis at x = 3 and extending infinitely in both the positive and negative y-directions.
The equation x = 3 represents a vertical line that passes through the point (3, 0) on the Cartesian coordinate system. This means that for every value of y, the corresponding x-coordinate is always 3. Since the line is vertical, it extends infinitely in both the positive and negative y-directions.
To visualize the line x = 3 on a graph:
1. Draw two perpendicular axes, the horizontal x-axis, and the vertical y-axis.
2. Since x = 3, draw a vertical line passing through the point where x = 3 on the x-axis (at x = 3) and extending through the entire y-axis.
The resulting graph will show a vertical line crossing the x-axis at x = 3 and extending infinitely in both the positive and negative y-directions.
Learn more about graph here
https://brainly.com/question/30981053
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1. Juliet O'Hara works for a weekly paycheck. Last week she worked 5 days for a total of 39 hours. Her regular rate of pay is $10.95 an hour. In addition to federal income tax, state income tax, Medicare, and social security, Juliet also has insurance of $20 a week withheld and puts 4% of her gross pay into a retirement account. Compute her gross pay, deductions, and net pay. SHOW YOUR WORK!
Step-by-step explanation:
given data:
hours worked weekly = 39
pay/her = $10.95
insurance withheld weekly = $20
percentage put into Retirement = 4%
Solution:
Gross pay
= hrs worked weekly x pay/hr
= 39 x $10.95
= $427.05.
Deductions
insurance deduction
= $427.05 – $20
= $407.05
Amount put into retirement account
= 4% of $427.05
= 4/100 x $427.05
= $17.082
NET PAY
= $427.05 – $20 –$17.082
= $389.97
HELP PLEASE HS GEOMETRY 50 POINTS!!!!!
Answer: 1,6,3,8
Step-by-step explanation: that one, and its opposite and the other one is the same
Answer:
1, 3, and 8
Step-by-step explanation:
You should know this because, 88 degrees and 2 are in a straight line which there means that 2 would be 92 degrees. So every length would be slightly shorter or longer than the other. As you can observe 1, 3, and 8 other than 6 are all the ones that are slightly shorter than their counterpart 2, 4, 5, and 7. Which means that 1, 3, and 8 all equal 88 degrees just like 6.
The price of Stock A at 9 A.M. Was $14.67. Since then, the price has been increasing at the rate of $0.08 each hour. At noon the price of Stock B was $15.17. It begins to decrease at the rate of $0.15 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Price of Stock A at 12 : 00 A.M. is :
A = 14.67 + 0.08×3
A = $14.91
Price of Stock B at 12 : 00 A.M. is :
B = $15.17
Let, after x hours price are same :
[tex]14.91 + 0.08x = 15.17 -0.15x\\\\0.23x = 15.17-14.91\\\\0.23x =0.26\\\\x = 1.13\ hours[/tex]
At, 1 : 13 P.M both stocks have same prices.
Hence, this is the required solution.
EASY INEQUALITIES!!!!
Answer:
2.16, 3.45
Step-by-step explanation:
Answer:
Hello!!! erz here ^^
Step-by-step explanation:
2.16< [tex]\sqrt{5}[/tex] < 3.45
Hope this helps!! :D
x/-8 = -3
help!!! needed urgently
If x/ -8 = -3,
Just multiply by -8 on both sides.
x = 24
Hope this helps!
If x/ -8 = -3,
Just multiply by -8 on both sides.
x = 24
Hope this helps!
Please find the locator point (h, k) of the function
y=-(x+2)^3-5
A scale factor of 3/4 applied to an object describes
1. an enlargement
2. a reduction
3. no change
4. a rotation
Answer:
a rotation
Step-by-step explanation:
How to calculate tan sin cos on calculator ?
Step-by-step explanation:
Put in sin, tan or cos and put the number next to it and press equal to
How to do this
Evaluate 20+3(8-5)
Answer:
29
Step-by-step explanation:
Use PEMDAS
First, you will do the parenthesis which is 3. 20+3(3)
Next, you will multiply 3 by 3, which is 9. 20+9
Last you will add 20 and 9. 29
Do order of Operations.
Parentheses:
(8-5) which is 3. You now have
20+3(3).
Multiply:
3(3) which gives you 9. Now you have
Add:
20+9. Which gives you 29.
So the answer to this question is 29.
I Hope I explained this good enough, if you have any more questions, ask me.
Plzs help me I give u brain list
Answer: am sorry but,
Step-by-step explanation: I can't see the picture...
Answer:
b (i think)
Step-by-step explanation:
Audrey and Addy also went hiking up Mount Olympus. Audrey's distance in June was 2.95 miles and for July 2 5/8 miles. Addy went 2.85 miles in June and 3 3/8 miles in July. How much farther did Addy hike than Audrey in both June and July? *Answer will be in decimal form
Answer:
Addy hiked 0.65 miles more than Audrey.
Step-by-step explanation:
In June we have the following distance traveled by Audrey (Au) and Addy (Ad):
[tex] Au_{Jun} = 2.95 miles [/tex]
[tex] Ad_{Jun} = 2.85 miles [/tex]
And, in July we have:
[tex] Au_{Jul} = 2 + 5/8 miles = 21/8 miles = 2.625 miles [/tex]
[tex] Ad_{Jul} = 3 + 3/8 miles = 27/8 miles = 3.375 miles [/tex]
Hence in June and July, they traveled:
[tex] Au_{T} = Au_{Jun} + Au_{Jul} = 2.95 miles + 2.625 miles = 5.575 miles [/tex]
[tex] Ad_{T} = Ad_{Jun} + Ad_{Jul} = 2.85 miles + 3.375 miles = 6.225 miles [/tex]
Now, we can find how much farther did Addy hike than Audrey in both June and July:
[tex] d = Ad_{T} - Au_{T} = 6.225 miles - 5.575 miles = 0.65 miles [/tex]
Therefore, Addy hiked 0.65 miles more than Audrey.
I hope it helps you!