Answers
Hello!
[tex]\large\boxed{x = 17}[/tex]
[tex]\sqrt{x -1} + 5 = 9[/tex]
Begin by subtracting 5 from both sides:
[tex]\sqrt{x -1} = 9 - 5\\\\\sqrt{x -1} = 4[/tex]
Square both sides to get rid of the radical:
[tex]x - 1 = 16[/tex]
Add 1 to both sides to completely isolate for x:
[tex]x = 17[/tex]
Related Questions
Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution.
Answers
Answer:
only one solution
Step-by-step explanation:
Complete question:
Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x − y = 2 3x + y = −6 one and only one solution infinitely many solutions no solution Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.) (x, y) =
Given the expression
2x − y = 2 .... 1
3x + y = −6 ..... 2
We are to determine the number of solution the equation has:
Add equation 1 and 2
2x + 3x = 2 - 6
5x = -4
x = -4/5
Substitute x = -4/5 into 1
From 1: 2x − y = 2 .... 1
2(-4/5) - y = 2
-8/5 - y = -2
-y = -2+8/5
-y = -10+8/5
-y = -2/5
y = 2/5
Since the value of x and y are just 1 hence the system of equations has ine solution
what is the difference between bullying and conflict
Answers
Answer:
Bullying is making fun of or hurting someone and a conflict is a disagreement that is serious
Step-by-step explanation:
1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of varnish what quantity of mineral spirits will i need in ml ? 3-Robison's tapestries all measure 1.5m x 1m wide. Express the proportion of the tapestries' heights to width using whole numbers. Give the answer in ration.
Answers
Answer:
(1) The required ratio of spirit to varnish is 1:3.
(2) You need 80 ml of mineral spirit.
(3) The ratio of tapestries' heights to width is 3:2.
Step-by-step explanation:
(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.
So, [tex]\frac{spirit}{varnish}=\frac{25}{75}[/tex]
[tex]=\frac{1}{3}[/tex]
Thus, The required ratio of spirit to varnish is 1:3.
(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.
Let [tex]x[/tex] be the quantity of total solution.
Then, [tex]240:x=3:4[/tex].
⇒[tex]\frac{240}{x}=\frac{3}{4}[/tex]
⇒[tex]3x=240*4[/tex]
⇒[tex]x=\frac{240*4}{3}[/tex]
⇒[tex]x=320[/tex]
That is, total solution is 320 ml.
Now, Spirit = Total solution - Varnish
⇒Spirit = 320ml-240ml
⇒Spirit = 80ml
Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.
(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.
Then, dimensions are 15m long and 10m wide.
Now, Height : Width = 15:10
⇒[tex]\frac{Height}{Width} =\frac{15}{10}[/tex]
⇒[tex]\frac{Height}{Width} =\frac{3}{2}[/tex]
Hence, the ratio of tapestries' heights to width is 3:2.
The average fuel efficiency of U.S. light vehicles (cars, SUVs, minivans, vans, and light trucks) for 2005 was 21 mpg. If the standard deviation of the population was 2.9 and the gas ratings were normally distributed, what is the probability that the mean mpg for a random sample of 25 light vehicles is Under 20
Answers
Answer:
0.042341
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ/n, where
x is the raw score = 20 mpg
μ is the population mean = 21 mpg
σ is the population standard deviation = 2.9
n = random number of samples
Hence:
For x < 20
= z = 20 - 21/2.9/√25
= z = -1/2.9/5
= z = -1.72414
P-value from Z-Table:
P(x<20) = 0.042341
The probability that the mean mpg for a random sample of 25 light vehicles is Under 20 mpg is 0.042341
The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341
Calculation:Here we used z score formula
z = (x-μ)/σ/n, wherex is the raw score = 20 mpgμ is the population mean = 21 mpgσ is the population standard deviation = 2.9n = random number of samplesSo,
For x < 20
= z = 20 - 21/2.9/√25
= z = -1/2.9/5
= z = -1.72414
Now
P-value from Z-Table:
P(x<20) = 0.042341
Learn more about the probability here: https://brainly.com/question/795909?referrer=searchResults
800 adults were surveyed to find out how many notes per week they cook dinner 60% indicated that they cooked dinner more than four nights at per week based on the results of the survey how many adults out of a group of 2000 to cooked dinner more than four nights per week
Answers
Answer:
1200
Step-by-step explanation:
60 x
- = -
100 800
There are 2 ways to solve this.
1) 800 x 60= 48,000
Divide by 100= 480
x=480
2) Multiply 60 by 8.
Now there are another 2 ways to go.
1) 480 x
- = -
800 2000
OR2) 60 x
- = -
100 2000
I recommend the second option for both. It is easier. The second option allows you to find and equal ratio, with less of the hassle.To get 2000, 100 must be multiplied by 20. So.... multiply 60 by 20 to get a equal ratio.
Your answer is 1200. Meaning 1200 adults cooked dinner more than four nights per week.
I hope this helps you significantly
~~~LampteyJ
Answer:
1200
Step-by-step explanation:
Annabelle drove 155 miles in 5 hours. How many miles does she drive in 4 hours? How many miles does she drive in 6 hours?
Answers
Hello :)
Please help me solve this
Explain answer
Answers
Answer:
A. Store A will cost about $1.28 less
Step-by-step explanation:
Store A:
Unit rate = y/x
Using any given pair, say (3, 7.26),
Unit rate = 7.26/3 = $2.42 per gallon
So, of a customer is buying 16 gallons at Store A, he'd pay:
$2.42 * 16 = $38.72
Store B:
Unit rate = y/x
Using any point on the graph, say (20, 50),
Unit rate = 50/20 = $2.5 per gallon
So, of a customer is buying 16 gallons at Store B, he'd pay:
$2.5 * 16 = $40.
Cost of Store B - Cost of Store A = $40 - $38.72 = 1.28
This means that Store A cost about $1.28 less
16 is a factor of 24.
O A. True
O B. False
Answers
When using a number line, in which direction should you move when subtracting a negative value?
Answers
Answer:
LEFT
Step-by-step explanation:
Answer:
Move to the right when you're subtracting a negative number.
URGENT!!!! Han earns $48 for babysitting 3 hours. How much money does Han make per hour? Explain
your reasoning. :)
Answers
Answer:
Step-by-step explanation:
If he earns $48 dollars in 3 hours, you need to divide 48 by 3 to work out how much he makes per hour. and 48/3 = 16. So he makes $16 dollars an hour.
Answer:
16$
Step-by-step explanation:
You would have to divide the number of hours he worked for three days by the days he worked in order to find out what he would earn per hour.
This means the answer is 16 dollars per hour.
Multiply the polynomials: (x – 4)(x2 + 2x – 5)
Question 16 options:
A)
x3 + 6x2+ 3x – 20
B)
x3 + 6x2 + 3x + 20
C)
x3 – 2x2 – 13x – 20
D)
x3 – 2x2 – 13x + 20
Question 17 (5 points)
Subtract: (4x3 + 9xy + 8y) – (3x3 + 5xy – 8y)
Question 17 options:
A)
7x3 + 14xy
B)
x3 + 4xy
C)
7x3 + 14xy + 16y
D)
x3 + 4xy + 16y
Question 18 (5 points)
What are the real solutions to the equation 5x2 + 29x + 20 = 0?
Question 18 options:
A)
x = –5, x = 4∕5
B)
x = –4∕5, x = 5
C)
x = 4∕5, x = 5
Answers
Step-by-step explanation:
Hey there!
Given;
[tex] = (x - 4)( {x}^{2} + 2x - 5)[/tex]
[tex] = x( {x}^{2} + 2x - 5) - 4( {x}^{2} + 2x - 5)[/tex]
[tex] = {x}^{3} + 2 {x}^{2} - 5x - 4 {x}^{2} - 8x + 20[/tex]
[tex] = {x}^{3} - 2 {x}^{2} - 13x + 20[/tex]
Therefore, Option D is correct answer.
Q.no.
Given;
[tex] =( 4 {x}^{3} + 9xy + 8y) - (3 {x}^{3} + 5xy - 8y)[/tex]
[tex] = 4 {x}^{3} + 9xy + 8y - 3 {x}^{3} - 5xy + 8y[/tex]
[tex] = {x}^{3} + 4xy + 16y[/tex]
Therefore, answer is Option D.
Qno.
Given;
[tex]5 {x}^{2} + 29x + 20 = 0[/tex]
[tex]5 {x}^{2} + (25 + 4)x + 20 = 0[/tex]
[tex]5 {x}^{2} + 25x + 4x + 20 = 0[/tex]
[tex]5x(x + 5) + 4(x + 5) = 0[/tex]
(5x + 4)(x + 5) =0
Either (5x+4)= 0,
5x = -4
X = -4/5
Or, X+5 = 0
X = -5.
Therefore, X= -5, -4/5.
Hope it helps....
When are two lines perpendicular?
A. when the slopes are opposites
B. when the slopes are reciprocal
C. when the slopes are negative
D. when the slopes are opposite and reciprocal
Answers
Answer: C I think
Step-by-step explanation:
A standard train ticket in a certain city costs $1.50 per ride. People who use the train also have the option of purchasing a frequent rider pass for $17.25 per month. With the pass, a ticket costs only $0.75 per ride. How many train rides a month make the frequent rider pass a better deal than standard train tickets?
Answers
Just off the bat 17$is 12 rides and then 17.25 +0.75 is 18 so 13 rides
Without the pass, the cost per ride is 2.00 per ride.
With the pass, the cost per ride is 1.25 per ride plus 15.75 per month.
You want to know at what number of rides does the cost per ride using the pass become cheaper than the cost per ride without using the pass.
The formula for total cost is as follows:
without the pass:
C1 = 2*x
with the pass:
C2 = 15.75 + 1.25*x
You want to know when C2 becomes less than C1.
C2 < C1 is the inequality equation you are looking for.
Since C2 = 15.75 + 1.25*x, and C1 = 2*x, this equation becomes:
15.75 + 1.25*x < 2*x
Subtract 1.25*x from both sides of this equation to get:
15.75 < 2*x - 1.25*x which becomes:
15.75 < .75*x
Divide both sides of this equation by .75*x to get:
15.75/.75 < x
Simplify to get:
21 < x
21 < x is the same as x > 21.
Your answer is the C2 becomes cheaper than C1 when x > 21.
If you make x = 21, then:
C1 = 2*21 = 42
C2 = 15.75 + 1.25*21 = 15.75 + 26.25 = 42
They are equal.
If you make x = 22, then:
C1 = 2*22 = 44
C2 = 15.75 + 1.25*22 = 15.75 + 27.5 = 43.25
43.25 is cheaper than 44 so C2 is cheaper than C1, confirming that the equation is good.
4.02>4.1 TRUE OR FALSE
Answers
Answer: true
Step-by-step explanation: cuz
Answer:
False
Step-by-step explanation:
use screen shot i will mark brainliest :)
Answers
Answer: there is no screenshot :(
Step-by-step explanation:
simplify pls
8(4x-12)
Answers
Answer:
32x-96
Step-by-step explanation:
8 · 4x = 32x
8 · 12 = 96
7 1/2 + X + 15? What is X?
Answers
22.5
Explanation;
7 1/2 + 15
7.5+15+x=0
22.5+x=0
x= -22.5
I will give you a good amount of points if you answer this correct
Answers
Answer:
I think the answer is B. The equation has infinitely many solutions.
Step-by-step explanation:
4(3x + 4) = 15x + 12 - 3x + 4
*group like terms so 4(3x+4) = 15x - 3x + 12 + 4
*add similar elements 15x - 3x = 12x
*add the numbers 12 + 4 = 16
*Expand to 12x + 16 - 16 = 12x + 16 - 16
*You simplify 12x = 12x
*Subtract 12x from both sides
*Then Simplify which is 0
Which means Both sides are equal to 0
True for all X
1. A store sold 700 motorcycles last year. This year the store sold 820 motorcycles. What is the percent change in the number of motorcycles sold from las year to this year?
Answers
Answer:
120 or 120%, hope this helps!
Step-by-step explanation:
HELP PLEASEEEE IM BEGGING YOU
Answers
Answer:
40
3
9
70
6
7
10
2
42
8
Step-by-step explanation:
let's hope i didn't read naything wrong
Can somebody please help with this? (Slope)
Answers
Answer:
the slope is m= 5/31 :)
joe used 20 gallons of gas to go 300 miles. At this rate, how much gas must he use to go 3500 miles?
STEP BY STEP ASAP PLEASE ITS EQIVALENT RATIO
Answers
Answer:
400 miles se tiene que multiplicar y sumar
The feet of a poem can easily be compared to _______.
a heartbeat
footsteps
a musical beat
a drum beat
Answers
Answer:
its a heartbeat.
Step-by-step explanation:
sorry for late answer, just answering for any future people.
what is the gcf of 8x³ and 6x²
Answers
Answer:
The GCF is 2²
Step-by-step explanation:
The factored expression would be 2²(4x+3) .
(-7-3i)(11-8i)
Simplified into the a+bi form
Answers
Answer: what
Step-by-step explanation:
the following two ratios form a proportion 4/5 and 8/10. true or false (I need quick answers pls)
Answers
Answer:
this is true because you can divide 8/10 by 2 and you get the same number 2/5 and sorry for my english
Is anyone here good at calculus I’m willing to pay.
Answers
What’s 65+56+4+-4
;)
Answers
Answer:
119
Step-by-step explanation:
Please help ASAP!! 20 points givin
Answers
Answer:
d or b
Step-by-step explanation:
quick math
Hope it helps :)
What is the common factor of 26 and 38
Answers
Answer: The GCF is 2 and the LCF is 1
Step-by-step explanation:
