DELLO
How many solutions exist for the given equation?
3(x - 2) = 22 - x
zero
O one
two
infinitely many
Answers
The number of solutions for the given equation is one.
Here, we have,
To determine the number of solutions for the equation 3(x - 2) = 22 - x, we can solve it and analyze the result.
Let's simplify and solve the equation step by step:
3(x - 2) = 22 - x
3x - 6 = 22 - x
4x = 28
x = 7
After simplifying, we find that x = 7.
Now, we can analyze the number of solutions:
Since we have found a specific value for x that satisfies the equation, namely x = 7, there is exactly one solution.
Therefore, the number of solutions for the given equation is one.
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Related Questions
16 3/7 −4 3/4
subtract this fraction correctly and i will mark you brainliest
Answers
Answer:
327/28 or 11 19/28
Step-by-step explanation:
Get common denominator, convert into improper fraction and subtract.
The solution of expression [tex]16\dfrac{3}{7} - 4\dfrac{3}{4}[/tex] after subtraction would be, [tex]11\dfrac{19}{28}[/tex]
Given that,
The fractions to subtract,
[tex]16\dfrac{3}{7} - 4\dfrac{3}{4}[/tex]
Used the subtraction method to find the subtraction of expression.
Here, The fractions to subtract,
[tex]16\dfrac{3}{7} - 4\dfrac{3}{4}[/tex]
Change the mixed fraction into an improper fraction,
[tex]\dfrac{115}{7} - \dfrac{19}{4}[/tex]
Take LCMof 7 and 4 = 28
Now, make the denominator the same by taking LCM,
[tex]\dfrac{460}{28} - \dfrac{133}{28}[/tex]
[tex]\dfrac{460- 133}{28}[/tex]
[tex]\dfrac{327}{28}[/tex]
So, the solution of fraction after subtraction,
[tex]11\dfrac{19}{28}[/tex]
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Derek sent a chain letter to his friends, asking them to forward the letter to more friends. The group of people who receive the email gains 9/10 of its size every week and can be modeled by a function, P, which depends on the amount of time, t (in weeks).
Derek initially sent the chain letter to 40 friends.
Write a function that models the group of people who receive the email t weeks since Derek initially sent the chain letter
Answers
Answer:
Step-by-step explanation:
P(t)= 40*1.9^t/3
A function that models the group of people who receive the email t weeks since Derek initially sent the chain letter is p(t) =[tex]40 + 12t[/tex] (in t weeks).
What is a function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The number of people who received letters three weeks later:
= [tex]40 + \frac{9}{10} \times40[/tex]
= [tex]76[/tex]
The number of people who received letters one week later:
= [tex]40+(\frac{9}{10} \div3)\times40[/tex]
= [tex]52[/tex]
The number of people who received letters t week later:
= [tex]40+(\frac{9}{10} \div3).t\times40[/tex]
= [tex]40 + 12t[/tex]
So, a function that models the group of people who receive the email t weeks since Derek initially sent the chain letter is p(t) = [tex]40 + 12t[/tex] (in t weeks).
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Find the values of variables in DEFG
Please help show me how to solve this
Answers
Answer:
dav d
Step-by-step explanation:
Minimum of the data is ?, The first quartile is ?,
The median of the data is ?,
Third quartile is ?,
The Maximum of the data is ?
Answers
Answer:
Step-by-step explanation:
min= 40
q1=43
med=61
Q3=65
max=97
you just need to put data into the table and do 1-var stats for this problem
The minimum data value is: 40
The first quartile is: 43
The median data value is: 61
The third quartile is: 65
The maximum data value is: 97
The data is presented in a stem and leaf plot.
What is stem and leaf plot?A stem and leaf plot is a defined as table where values of data are split into a stem and leaf. The first digit or digits will be written in stem and the last digit will be written in leaf
According to the 1st row: 4 | 0 1 3
The weights are: 40, 41, 43
According to the 2nd row: 5 | 0 8
The weights are: 50, 58
According to the 3rd row: 6 | 1 2 3 5
The weights are: 61, 62, 63, 65
According to the 4th row: 7 | 8
The weight is: 78
According to the 6th row: 9 | 7
The weight is: 97
So, all the data for the weights are:
40, 41, 43, 50, 58, 61, 62, 63, 65, 78, 97
We can now determine the five-number summary as follows:
The minimum data value is: 40
(40), 41, 43, 50, 58, 61, 62, 63, 65, 78, 97
The first quartile is: 43
40, 41, (43), 50, 58, 61, 62, 63, 65, 78, 97
The median data value is: 61
40, 41, 43, 50, 58, (61), 62, 63, 65, 78, 97
The third quartile is: 65
40, 41, 43, 50, 58, 61, 62, 63, (65), 78, 97
The maximum data value is: 97
40, 41, 43, 50, 58, 61, 62, 63, 65, 78, (97)
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I really need help with 15 and 16 please
Answers
Answer:
15. 50 kg
16a. 5 kg
16b. 3.75 kg
Step-by-step explanation:
The formula relating force, mass, and acceleration can be solved for mass. This formula will apply to both problems. We'll use m for both "mass" and "meters". We presume you can avoid getting mixed up by understanding that meters is used in the context of acceleration: m/s².
F = ma
m = F/a . . . . . divide by a
__
15. m = (250 N)/(5 m/s²) = 50 kg
__
16a. m = (15 N)/(3 m/s²) = 5 kg
16b. m = (15 N)/(4 m/s²) = 3.75 kg
_____
Comment on units
Especially for physics problems, I like to keep the units with the numbers. It is helpful to remember that Newtons are equivalent to kg·m/s². So, dividing Newtons by acceleration in m/s² will give mass in kg. Since you're familiar with F=ma, it's not too hard to remember that the units of force (N) are the product of the units of mass (kg) and acceleration (m/s²).
evaluate (tan 60)(cos 45)
Answers
Answer: the tan. Of 60 is .3200
The cos. Of 45 is .5253
Hope this helps :)
Step-by-step explanation:
Answer:
[tex] \sqrt{ \frac{3}{2} } [/tex]
Step-by-step explanation:
[tex] \tan(60) \cos(45) = \sqrt{3} \times \frac{1}{ \sqrt{2} } [/tex]
[tex] = \sqrt{ \frac{3}{2} } \: [/tex]
Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a radius of 6 feet and a height of 15 feet. Container B has a
radius of 5 feet and a height of 18 feet. Container A is full of water and the water is
pumped into Container B until Conainter B is completely full.
After the pumping is complete, what is the volume of the empty space inside
Container A, to the nearest tenth of a cubic foot?
Answers
Answer:
1413.7 ft^3
Step-by-step explanation:
The volume of a cylinder is given by ...
V = πr^2·h
After emptying part of container A into container B, the empty space in container A will be exactly the volume of container B:
V = π(5 ft)^2·(18 ft) ≈ 1413.7 ft^3
The circumference of a circle is 3.14 inches. Find the radius of the circle in inches. Round to the nearest whole number. Justify your answer. Please help me all my stuff is due Friday!
Answers
Answer:
0.5
Step-by-step explanation:
The formula for circumference is:
pi * d
3.14 = 3.14*d
1 = d
Since the radius is 1/2 of diameter, r = 0.5
A recipe for bread calls for 4 1/4 cups of flour. Which expression gives the number of cups of flour needed if you want to make 3 1/2 batches of this recipe?
Answers
Answer:
3 1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
4 1/4. 3.5
1.1
Scientific notation is the product of a coefficient that is greater than or equal to one but less than 10, and a power of 10.
Answers
Answer:
Sample Response: Scientific notation is used to represent very large and very small numbers. Scientific notation is the product of a coefficient that is greater than or equal to one but less than 10, and a power of 10.
im sorry that other person answered, well wierd but thats what im here for.
:)
Ben and Roberto each own stores that sell video games. A) Ben’s Game World is having a sale on video games. The store is offering a sale pack of 4 video games for $43.80. What is the unit price of a video game in the sale pack? What would 7 games cost at Ben's Game World? B) Roberto’s Electronics is also having a sale on video games. The unit price of any video game at Roberto’s Electronics is 3/5 of the unit price of a video game in the sale pack at Ben’s Game World. How much would it cost a customer for 7 video games at Roberto’s Electronics?
Answers
Ben- unit price is 10.95
7 games= 76.65
Roberto- unit price is 6.57
7 games= 45.99
The unit price of a video game at Ben's Game World is $10.95, and 7 games would cost $76.65. Video games at Roberto's Electronics would cost $6.57 per game after applying the discount, with 7 games totaling $45.99.
Explanation:The student has asked for help with finding the unit price of video games in a sale at Ben's Game World and comparing this to the cost of video games at Roberto's Electronics. We are given that Ben is selling a pack of 4 video games for $43.80. To find the unit price, we divide the total cost by the number of games.
Calculate the unit price of a video game at Ben's Game World by dividing the total pack price by the number of games in the pack: $43.80 / 4 games = $10.95 per game.To find the cost for 7 games at Ben's game store, multiply the unit price by 7: $10.95 * 7 games = $76.65.Roberto's Electronics sells video games at 3/5 the price of Ben's unit price. First, calculate this discounted unit price: $10.95 * (3/5) = $6.57.To find the cost for 7 games at Roberto's store, multiply this discounted unit price by 7: $6.57 * 7 games = $45.99.HELP HEL HELP HELP HELP HELP HELP HELP PLEASE
Answers
Answer:
(2,4) and (5,1) --> negative slope
(6,-3) and (-6, -3) --> zero slope
(3,5) and (-1,2) --> positive slope
(-7,8) and (-7,0) --> undefined slope
Step-by-step explanation:
To find the slope of a function, we use the formula:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{rise}{run}[/tex] (rise/run)
1. [tex]m=\frac{1-4}{5-2} =-1[/tex] (negative slope)
2. [tex]m = \frac{-3--3}{-4-6} =0[/tex] (zero slope)
3. [tex]m = \frac{2-5}{-1-3} =\frac{3}{4} =0.75[/tex] (positive slope)
4. [tex]m=\frac{-7-8}{-7--7} =\frac{-15}{0} = ?[/tex] (undefined slope)
Of 80 people attending a dance 28 dance with their hands touching the floor. If four people at the dance are selected at random, determine the probability that each of the 4 dance with their hands touching the floor.
`PLEASE HURRY ITS A QUIZ
Answers
Answer: The probability is 0.013
Step-by-step explanation:
Out of 80 people, 28 of them dance with the hands touching the ground.
Then, the probability of selecting at random someone that dances with the hands touching the floor is equal to the number of persons that dance in that way, divided by the total number of persons.
For the first selection, this is p1 = 28/80
now, the probability in the second selection will be 27/79, because we have selected 1 out of the 28 (and also 1 out of the 80)
for the third and the fourth we have:
p3 = 26/78
p4 = 25/77
Then the probability of the fourth events is equal to the product of the four probabilities:
P = (28/80)*(27/79)/(26/78)/(25/77) = 0.013
Answer:
The probability that each of the 4 dance with their hands touching the floor is 0.0129.
Step-by-step explanation:
There are a total of 80 people and out of them, 28 dance with their hands touching the floor. The probability of selecting a person who has their hands touching the floor while dancing can be computed as 28/80.
We are asked to computed the probability that four people are selected at random and all four of them dance with their hands touching the floor. The probability for selecting the first person is 28/80. For the second person, the total no. of people are now 79 and the people who can dance with their hands touching the floor are 27. So, the probability is 27/79. Similarly, for the third person, the probability is 26/78 and for the fourth person, the probability is 25/77.
So, the probability that all four people selected dance with their hands touching the floor is:
28/80 * 27/79 * 26/78 * 25/77 = 0.0129
The nth term of a sequence is n-4
a) Work out the first three terms of the sequence.
b) Work out the tenth term of the sequence.
Answers
Answer:
Step-by-step explanation:
nth term = n - 4
A) 1st term = 1 - 4 = -3
2nd term = 2 - 4 = -2
3rd term = 3 - 4 = -1
First three terms are: -3, -2, -1
b) tenth term = 10 - 4 = 6
a) The first three terms of the sequence are -3, -2, and -1.
b) The tenth term of the sequence is 6.
a) To find the first three terms of the sequence with the nth term given as n - 4, we can substitute the values of n from 1 to 3 into the formula:For n = 1:nth term = n - 4 = 1 - 4 = -3For n = 2:nth term = n - 4 = 2 - 4 = -2For n = 3:nth term = n - 4 = 3 - 4 = -1So, the first three terms of the sequence are: -3, -2, -1.b) To find the tenth term of the sequence, we can again use the formula with n = 10:nth term = n - 4 = 10 - 4 = 6So, the tenth term of the sequence is 6.For more questions on sequence -
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What is three and fourteen hundredths as a decimal number.
Answers
Answer:
3.14
Step-by-step explanation:
A baby weighs 132 ounces when born.The baby gained 60 ounces. How many pounds is the baby now?
pLeAsE I NeEd HeLp
Answers
12 pounds
Step-by-step explanation:
New Weigh = 132 + 60 =192 ounces
(New Weigh = Old Weigh + Weigh gained)
Since 1 pound = 16 ounces
New Weigh = 192 ÷ 16 = 12 pounds
therefore New
Answer: 12 pounds!
Step-by-step explanation:
I hope it helps!
Good luck!
A cereal box is 6 1/2 inches long ,3 1/2 inches wide , and 12 inches high .What is the volume of the box?
Answers
Answer:
273
Step-by-step explanation:
base (l times w) times height
Answer:
273 inch³
Step-by-step explanation:
v = l*h*w
v= 6 1/2 * 3 1/2 * 12
v= 13/2 * 7/2 * 12
v= 273
Which statement is true about the relative areas of triangle ABC and triangle XYZ is true
Answers
Answer:
The answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I need help like now
Please and thank you
Answers
Answer:
$340.54 flooring
$116.21 paint
$107.73 trim
=$564.48
Step-by-step explanation:
the living room is 2418ft^3
area is 201.5ft^2
perimeter is 57ft
If r = 45 cm and q = 53 cm, what is the length of p?
A. 28 cm
B. 26 cm
C. 70 cm
D. 32 cm
Answers
The right answer is 28 cm
look at the attached picture⤴
Hope it will help u....:)
20 POINTS! WILL MARK BRAINIEST FOR FIRST CORRECT ANSWER!
The figures in (a) and (b) below are made up of semicircles and quarter circles; The figure in (c) shows a quarter of a circle in a square. Find the area and the perimeter of each figure in terms of π.
Answers
Answer:
https://brainly.com/question/8182874
Step-by-step explanation:
Answer:
Area: 5π/2 in²
Perimeter: (3π+2) in
step-by-step explanation:
Area =
larger semicircle + small semicircle
= ½(pi × r1²) + ½(pi × r2²)
r1 = 2 in
r2 = 2/2 = 1 in
Area:
½(pi × 2²) + ½(pi × 1²)
= 2pi + ½pi
= 5pi/2 in²
Perimeter:
½(2pi × r1) + ½(2pi × r2) + r1
½(2pi × 2) + ½(2pi × 1) + 2
2pi + pi + 2
3pi + 2
Can someone help me with this it's making no sense to me
Answers
Answer:
The most reasonable is 2 h
Step-by-step explanation:
If you see the graph is decreasing in hours while is increasing in years. When a person is 45 years the amount of daily physical activity is 3 hours, so a person that is 50 years needs to do less than 3 hours a day and the only option less than 3 hours is 2 hours.
When you square six times a number, you get two more than the number.
Answers
Answer:the answer is 6
Step-by-step explanation:
Complete the sentence below with less than,
greater than or equal to.
The sum of the first 100 even natural numbers is
the sum of the first 101 odd
natural numbers.
Answers
Answer: The Answer is "less than"
Step-by-step explanation:
To find the sum of a series, you find the difference between the first and last term, multiply that by the number of terms, then divide by 2.
For the even numbers, 2 is the first term and 200 is the 100th term (because 2+(100-1)2 is equal to 200). So, (100(2+202)/2 = 10100.
For the odd numbers, 1 is the first term and 201 is the 101th term (because 1+(101-1)2 is equal to 201). So, (101(1+202))/2 = 10251.5.
10100<10251.5 so the sum of the first 100 even numbers is less than the sum of the first odd 101 numbers.
The sum of the first 100 even natural numbers is smaller than the sum of the first 101 odd natural numbers.
What is an even number?A number that is divisible by two into two equal whole numbers is called an even number. Even numbers are those that end in 0, 2, 4, 6, and 8.
The problem can be solved using the arithmetic sequence. The sum of the first 100 even numbers will be,
[tex]\text{Sum of first 100 even numbers} = \dfrac{100}{2} \times [2(2) +(100-1)2]=10,100[/tex]
The sum of the first 101 odd numbers will be,
[tex]\text{Sum of first 101 odd numbers} = \dfrac{101}{2} \times [2(1) +(101-1)2]=10,201[/tex]
Hence, the sum of the first 100 even natural numbers is smaller than the sum of the first 101 odd natural numbers.
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3. The equation x^2 + n = 0 ________
has at least one real number solution when n > 0
a) always
b) sometimes
c) never
Answers
in general:
if delta>0 the equation has 2 solutions
if delta=0 the equation has 1 solution
if delta<0 the equation doesn't have real solutions
here :
delta=-4n
if n>0=> delta<0 => c) never
Veronica surveyed her classmates about which types of pets they own. The graph shows her data.
A circle graph titled Pets. 32 percent is dogs, 26 percent is cats, question mark is fish, 13 percent is lizards, 18 percent is no pet.
Something is missing. Veronica found the percentages of her classmates who have dogs, cats, and lizards, but she has not calculated the percentage who have fish.
What percent of her classmates own fish?
Answers
Answer:
The answer is 11%
Step-by-step explanation:
Something is missing. Veronica found the percentages of her classmates who have dogs, cats, and lizards, but she has not calculated the percentage who have fish. Veronica surveyed her classmates about which types of pets they own. The graph shows her data. so that make it 11% Make me brain-list Please
Answer:it is 11%
Step-by-step explanation: just t r u s t me
and it makes sense
240: 180 in simpilest form ;D
Answers
240 : 180 in simplest form is 4:3.
Answer: 240/180 = 4/3 or 1 1/3
Pls help!!!!!!!!!!!!!!!!
Answers
Answer:
23 degrees
Step-by-step explanation:
62+95=157
180-157=23
Answer: The answer is 23 degrees. (Friend me and vote me brainliest)
Step-by-step explanation: A triangle is always equal to 180 degrees. So when they gave you both sides of the triangle, you add them up and subtract your sum from 180.
Can someone help me with this please?
Answers
Answer:
27.6°
Step-by-step explanation:
Drop a Perpendicular from C to AD, call the foot X
CXD is a right angle triangle
CX = 6 cm
XD = 23 - 9 - [sqrt(6.5² - 6²)]
XD = 11.5
Tan(Angle CDA) = CX/XD = 6/11.5
Angle CDA = 27.55281158
Circle o has a circumference of 42 pi
What is the length of the radius, r?
a. √21 cm
b. √42 cm
c. 21 cm
d. 42 cm
PLEASE HURRY!! I HAVE LIMITED TIME!! :)
Answers
Look at the attached picture⤴
Hope this will help u...
The length of the radius, r, is 21 cm. The correct answer is **c. 21 cm**.
Here's why:
- The circumference of a circle is calculated by the formula C = 2πr, where C is the circumference and r is the radius.
- We are given that the circumference of circle O is 42π.
Substituting the given value into the formula:
42π = 2πr
Dividing both sides by 2π:
r = 42π / 2π
Simplifying:
r = 21
Therefore, the length of the radius, r, is 21 cm.
Options a, b, and d are incorrect because they either involve taking the square root of the circumference directly (invalid formula for radius) or miscalculating the result of the division.