Answers
Answer:
[tex]x = 11/4[/tex]
Step-by-step explanation:
Given
[tex]1 + \sqrt{4x + 5} = 5[/tex]
Required
The solution
[tex]1 + \sqrt{4x + 5} = 5[/tex]
Collect like terms
[tex]\sqrt{4x + 5} = 5 - 1[/tex]
[tex]\sqrt{4x + 5} = 4[/tex]
Square both sides
[tex]4x + 5 = 16[/tex]
Collect like terms
[tex]4x = 11[/tex]
Divide both sides by 4
[tex]x = 11/4[/tex]
Related Questions
I NEED HELP jimthompson5910
15. The price of a coat was reduced from $150 to $90. By what percentage was the price reduced?
16. Nate’s hourly pay rate was raised from $10 to $12. By what percentage was Nate’s pay raised?
17. A tree grew from a height of 8 feet to a height of 12 feet. By what percentage did the tree’s height increase?
18. This week only, the local coffee shop is reducing the price of a cup of coffee from $3 .00 to $2 .28. By what percentage is the price reduced?
19. On a sunny day, the area of a puddle decreased from 700 square inches to 560 square inches. By what percentage did the area decrease?
20. A baker increased the amount of chocolate in a recipe from 8 ounces to14 ounces. By what percentage was the amount of chocolate increased?
The price of an $8,000 car is temporarily reduced to $5,000. By what percentage is the price reduced?
22. Zoe needs to raise the reduced price of the car to its original price. By what percentage should she raise the reduced price?
Answers
16. 20%
17. 50%
18.24%
19. 20%
20. 75%
21. 37.5%
22. 60%
I'll do the first four problems to get you started
====================================================
Problem 15
Answer: 40%-----------------
Explanation:
The price dropped by $60, since 150-90 = 60. This is the discount, which is the amount you save. Divide this over the original price ($150) and we get 60/150 = 0.40 = 40%
Therefore, the price has been reduced by 40%. If we take 40% of 150, then 0.40*150 = 60 showing that 40% of $150 is 60 dollars. This matches up with the discount value mentioned earlier. So it helps verify the answer.
====================================================
Problem 16
Answer: 20%-----------------
Explanation:
The pay raised by 12-10 = 2 dollars. So the percent increase is 2/10 = 0.20 = 20%
Note how 20% of 10 = 0.20*10 = 2 is the pay raise amount; meaning that 2 is 20% of 10.
====================================================
Problem 17
Answer: 50%-----------------
Explanation:
I'll use a formula this time, but we could follow the same idea as the previous problems. This is to give another approach.
A = old value = 8
B = new value = 12
C = percent change
C = [ (B-A)/A ] * 100%
C = [ (12-8)/8 ] * 100%
C = (4/8)*100%
C = 0.50*100%
C = 50%
50% is the same as half of the value. Note how half of 8 is 4, ie 50% of 8 = 0.50*8 = 4. So this is the amount of increase when going from 8 to 12.
Side note: The "B-A" portion in the numerator represents the change in value. We divide this change over the original amount "A" and then multiply by 100% to get the percent change we're after.
====================================================
Problem 18
Answer: 24%-----------------
Explanation:
I'll use the formula again
A = old value = 3.00
B = new value = 2.28
C = percent change
C = [ (B-A)/A ] * 100%
C = [ (2.28-3.00)/3.00 ] * 100%
C = (-0.72/3.00)*100%
C = -0.24*100
C = -24%
The negative percent change means we have a percent decrease. So we have a 24% decrease. Since your teacher is asking about how much the percent reduction is, we'll write the positive version of this percentage.
Problems 19 through 22 will follow the same ideas as shown in the previous problems.
Find the value of x in the triangle shown below.
a. x=80
b. x=48
c. x= 32
d. x=12
Answers
Answer:
solution given:
by using Pythagoras law:
h²=p²+b²
x²=8²+4²
x=√80units
What is the domain? I think it’s (-4,-3)
Answers
Answer:
all real numbers
Step-by-step explanation:
As the graph goes up, it keeps going up and to the right. There is nothing telling us it will stop moving to the right at a certain point. It goes up much faster than it goes right, but it keeps going right and up forever. That makes the domain reach positive infinity. The same happens on the left side. As it goes down to the left, it keeps going left forever to negative infinity. That makes the domain all real numbers from negative infinity to positive infinity.
Domain: all real numbers
The Answer Is All Real Numbers
This is because the graph extends to all x values which makes this corrects.
Plz help this is due today AND NO LINKS OR GROSS PICTURES OR I REPORT.
Answers
Answer: D, an equilateral triangle has three congruent sides.
Answer: D
Step-by-step explanation: An equalterial triangle has 3 congruent sides!
I hope this helps! May God bless you! :)
Solve
FIND THE SIMPLE INTEREST WHEN PRINCIPAL= $300, rate = 8%
Time= 4 years
WILL GIVE BRAINLIST
X
X
X
X
X
X
X
X
X
X
X
Answers
P( 1+rt)
300( 1+ (8X4)
Answer:
408.14
Step-by-step explanation:
The equation would be 300(1.08)^4, this is because when finding interest you use the formula principal(1+%)^time
If a population of 10,000 increases by 5% every year, about how large will the population be in 5 years?
Answers
Answer:
12763
Step-by-step explanation:
This is for 20 points 0.4 Divided by 29
Answers
Answer:
72.500
Step-by-step explanation:
I'm not sure, but I'm 80% sure
What is the unit rate for this table? Please help!!!
Answers
HELP ASP!!!! PLS?!!!!! #15
Answers
Answer:
you need the farmula lol lol lol lol lol lol lol
Step-by-step explanation:
pls help ASAP this is timing meeee!!!!
Answers
Answer:
48
Step-by-step explanation:
details will be added
In an expression when should be completed addition or multiplication
Answers
However, if it’s an equation that u are solving for a variable, then the first operation that should be undone first is addition
How can you Divide the number 30 into 4 equal parts? Or can you?
Answers
Answer:
7.5
Step-by-step explanation:
thirty divided by 4 is 7.5 or 7 1/2
Answer:
That might be possible though.
Step-by-step explanation:
If you divide 30 by 7.5, you'll get 4. With any other number, you'll get 3,10,6,5,1, and 30. If you use a decimal, it might be possible it'll give you the answer you wanted.
a machine shop has a fixed cost of $2000 to produce new bolts. The cost of materials and labor to produce each individual bolt is $8.50. Which of the following functions models the average cost per bolt for the company to produce x bolts, where
x>1?
Answers
Answer:
(8.50x + 2000)/x and x>1
Step-by-step explanation:
Well, this may not be the exact answer, as it seems you have the choices unlisted--if they even exist at all. But, I'll make do with what I've provided, so
In the question, it says the collective cost for each individual bolt is $8.50, and that we can use the variable x to represent the number of bolts the company wishes to produce. So, this can be shown using 8.50x.
The fixed cost is set in stone, so no alterations need to be applied, and only cause the total to amount to a greater number. So, we end up with (8.50x + 2000)/x and x>1 is the rule for the values of x. Essentially, all that means is that the company will always produce more than one bolt.
Based on your understanding of the ideas of external consistency and fruitfulness, which of the following statements best describes the relevance of these ideas to the acceptance of hypotheses?
1. A fruitful hypothesis is considered stronger because fruitful hypotheses are always externally consistent with previously held theories
2. A fruitful hypothesis is considered stronger because fruitful hypotheses promote scientific progress by revealing new avenues of research and analysis
3. An adequate theory is always a fruitful theory
4. AB internally coherent theories are fruitful.
Which of the following scenarios best demonstrates the idea of fruitfulness?
1. The fundamental rules of quantum mechanics were established during the first half of the twentieth century by numerous scientists to deal with atomic and subatomic systems. Today, quantum mechanics provides the underlying mathematical framework of many fields of physics, including condensed matter physics, solid state physics, and nuclear physics
2. While both Einstein's theory of general relativity and quantum theory are indisputably supported by empirical evidence, scientists have as yet been unable to incorporate both of them within one cohesive model
3. The predictions of quantum mechanics correspond to the predictions of the classical theories of physics when the quantum theory is used to describe the behavior of systems that can be successfully described by classical theories
4. Ordinantly, quantum mechanics is used to describe the behavior of bodies that are so smal that they cannot be seen under an optical microscope, while the theories of classical physics we used to analyze the behavior of large-scale bodies.
Answers
Answer:
Based on your understanding of the ideas of external consistency and fruitfulness, which of the following statements best describes the relevance of these ideas to the acceptance of hypotheses?
2. A fruitful hypothesis is considered stronger because fruitful hypotheses promote scientific progress by revealing new avenues of research and analysis
Which of the following scenarios best demonstrates the idea of fruitfulness?
4. Ordinantly, quantum mechanics is used to describe the behavior of bodies that are so smal that they cannot be seen under an optical microscope, while the theories of classical physics we used to analyze the behavior of large-scale bodies.
Step-by-step explanation:
a.
Write the center and radius of a circle with the equation:
x2 + 8x + y2 - 24y + 144 = 0
center = (12,-4)
0 center = (-8,24)
radius=4
radius=12
b. center = (8,-24)
d. center = (-4,12)
radius=12
radius=4
Please select the best answer from the choices provided
Answers
Answer: The answer is D
Step-by-step explanation:
Edge 2021
plsss help me and fast
Answers
Answer:
234 Square Inches
Step by Step Explanation:
To find the area of a parallelogram, we must first find the height. In this case, it is 18. Then, we must find the base. In this case, it is 13. Then, we multiply base x height for our final answer of 234.
Base - 13
Height - 18
18 x 13 = 234.
Easy enough?
Josephine has a rectangular garden with an area of 2x2 + x – 6 square feet.
Which expressions can represent the length and width of the garden?
length = x2 – 3 feet; width = 2 feet
length = 2x + 3 feet; width = x – 2 feet
length = 2x + 2 feet; width = x – 3 feet
length = 2x – 3 feet; width = x + 2 feet
Answers
Answer:
D
Step-by-step explanation:
Find the distance between F and G
Answers
Answer:
10 units
Step-by-step explanation:
a resposta certa e 10 unidades
Write the number in standard form eight-one
Answers
Answer:
81
Step-by-step explanation:
because eighty one = 81
Solve the following pair of simultaneous equation using elimination method.
3x_2y=7
X+2y= _3
Answers
Answer:
x = 1 and y = −2
Step-by-step explanation:
Rewrite equations:
x + 2y = −3
3x − 2y = 7
Step 1: Solve x+2y=−3 for x:
x + 2y = −3
x + 2y + −2y = −3 + −2y (Add -2y to both sides)
x = −2y − 3
Step 2: Substitute −2y − 3 for x in 3x − 2y = 7:
3x − 2y = 7
3(−2y − 3) − 2y = 7
−8y − 9 = 7 (Simplify both sides of the equation)
−8y − 9 + 9 = 7 + 9 (Add 9 to both sides)
−8y = 16
−8y/−8 = 16/−8 (Divide both sides by -8)
y = −2
Step 3: Substitute −2 for y in x = −2y − 3:
x = −2y − 3
x = (−2)(−2) − 3
x = 1 (Simplify both sides of the equation)
HELP ME PLSSSS
Heights of Males (in inches)
The heights of eight males in inches were used to make the box plot shown above. Which of the following is the median of the set of heights?
A. 69
B. 75.5
C. 73
D. 73.5
brainliest, extra points.
i understand if u need points , so u can go to my old questions and answer.
pls only answer if your for sure it's correct!
Answers
The median is usually notated by the line in the rectangle. The median means that half of the numbers are larger than that number, and half smaller.
Answer: The answer is 73.5 100000%
Step-by-step explanation: i took the test
What is the probability of choosing a red card from a deck of cards? Type your answer as a fraction.
Answers
Answer:
26/52 or 1/2
Step-by-step explanation:
There are 1-9, King, Queen, Jack, for both Diamonds and Hearts
hey I need help with my coordinates
Answers
Ok send the picture so I can help you.
Answer:
what is the question? I can help
Step-by-step explanation:
You estimate that a kitten weighs 15 pounds. The actual weight of the kitten is 8 pounds. Find the percent error.
Answers
Answer:
87.5%.
Step-by-step explanation:
This is simple. You thought the kitten weighed 15 pounds but really weighs 8. The first thing you would do is subtract the guess minus the actual.
15 - 8 = 7.
That person was off by 7.
So you would put it as a fraction over the actual weight. 7/8. Then turn your fraction into a decimal and turn that decimal into a percent.
7 divided by 8 = 0.875.
0.875 as a percent is 87.5%.
So the percent error is 87.5%.
12. Find the highest common factor that divides 24,36, and 72
without learning a remainder.
Answers
Answer:
Your answer is 12
Because the three numbers 24,36,72 are the factors of 12
If you are helped with my answer pls tag me brianliest
THANK YOU....
last step
merical simplification until the
1
Exercise 19c
Use the value 27 for n in this exercise.
Calculate the volume of a cylindrical steel
bar which is 8 cm long and 3.5 cm in
diameter.
2 The tank on a petrol lorry is a cylinder 2 m
in diameter and 7 m long.
a
Calculate its volume in m?.
b Find its capacity in kilolitres.
Answers
Answer:
77 cm^3
22 m^3
22 kl^3
Step-by-step explanation:
volume of a cylinder = nr^2h
n = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
1. Radius = 3.5 / 2 = 1.75
Volume = (22/7) x (8) x 1.75^2 = 77 cm^3
2. radius = 2/2 = 1m
Volume = (22/7) x (7) x 1^2 = 22 cm^3
1 meter = 1 kilolitre
capacity = volume
capacity = 22 kl^3
In a class test (+ 5) marks are given for every correct answer and (–2) marks are given for every incorrect answer and no marks for not attempting any question.
(i) Rayan scored 30 marks. If she has got 10 correct answers, how many questions has she attempted incorrectly?
(ii) Riya scores 44 marks by attempting 13 questions. How many questions has he attempted correctly and how many has he attempted incorrectly?
Answers
OK ITS OK IM GOD CALM DOWN
Answer:
Step-by-step explanation:
(1)
If she got 10 answers right, she got 5 * 10 = 50 marks before anything was deducted.
Since she wound up with 30 marks, she lost 50 - 30 = 20 marks. If you don't feel comfortable with this, call it -20
Each incorrect answer cost her -2 marks.
Divide -20 /-2 = 10
She has answered 10 questions incorrectly.
(ii)
5x - 2y = 44
x + y = 13 Multiply this equation by 2
2x + 2y = 26
Rewrite the first and third equations
5x - 2y = 44
2x + 2y = 26 Add
7x = 70 Divide by 7
x = 70/7
x = 10
So 10 questions were answered correctly
x + y = 13
10 + y = 13
y = 3
Answer
10 were answered correctly
3 were answered incorrectly
A professional pool player claims that she sinks at least one ball in a pocket on 80% of her opening break shots. In a recent set of 20 games, she sunk at least one ball on her break shot in only 14 of the games. A simulation of 100 trials was conducted to see how unusual these most recent games are.
Based on the dotplot of the simulation results and the pool player’s last 20 games, which conclusion can be drawn?
The player’s true probability of sinking at least one ball on her break is 27%.
Another 100 simulated trials would show a much different outcome; therefore, we cannot draw any conclusions.
It is most likely that she would sink at least one ball during her break exactly 16 times.
There is about a 27% chance of her sinking at least one ball on her break 14 or fewer times in 20 games. This result is not unusual and there is no convincing evidence that her average is less than 80%.
Answers
Answer: B
Step-by-step explanation:
What is the domain of (-2, 5), (8, 6), (3, 12) (2, 6)
Answers
Answer:
The domain is (-2, 8, 3, 2)
Step-by-step explanation:
The domain is such because domain is the x-element or the one you see at first in the ordered pairs.
7. What is the area of a triangle whose base is 14 cm and a height of 12 cm?
Answers
Answer:
84 cm²
Step-by-step explanation:
1/2x14x12=84