Answer:
x=22
Step-by-step explanation:
Reorder the terms:
3(-4 + x) = 2(x + 5)
(-4 * 3 + x * 3) = 2(x + 5)
(-12 + 3x) = 2(x + 5)
Reorder the terms:
-12 + 3x = 2(5 + x)
-12 + 3x = (5 * 2 + x * 2)
-12 + 3x = (10 + 2x)
Solving
-12 + 3x = 10 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-12 + 3x + -2x = 10 + 2x + -2x
Combine like terms: 3x + -2x = 1x
-12 + 1x = 10 + 2x + -2x
Combine like terms: 2x + -2x = 0
-12 + 1x = 10 + 0
-12 + 1x = 10
Add '12' to each side of the equation.
-12 + 12 + 1x = 10 + 12
Combine like terms: -12 + 12 = 0
0 + 1x = 10 + 12
1x = 10 + 12
Combine like terms: 10 + 12 = 22
1x = 22
Divide each side by '1'.
x = 22
Simplifying
x = 22
please help with question
The length of a rectangle is (3 + √7)m and its width is (1 + 2√7)n. What is the
area of the rectangle?
Answer:
[tex]A=(17+7\sqrt7)\ m^2[/tex]
Step-by-step explanation:
Given that,
The length of the rectangle, [tex]l=(3+\sqrt7)\ m[/tex]
The width of the rectangle, [tex]b=(1+2\sqrt{7} )\ m[/tex]
We need to find the area of the rectangle. We know that the area of the rectangle is given by :
[tex]A=l\times b[/tex]
Put all the values in the above formula.
[tex]A=(3+\sqrt7)\times (1+2\sqrt7)\\\\=3+3\times 2\sqrt7 +\sqrt7+2(\sqrt7)^2\\\\=3+6\sqrt7+\sqrt7+14\\\\=(17+7\sqrt7)\ m^2[/tex]
So, the area of the rectangle is [tex](17+7\sqrt7)\ m^2[/tex].
Help quick plzzzzz Plzzzzzzzzzzzzz
12873t456473892220-209873
The owner of a tire company wants to determine how long a new type of tire tread will last by measuring the length of time, in days, it takes for the tire tread to reach 2 mm. Let μ = the true mean number of days it takes for the tire tread to wear to 2 mm. Which of the following sample sizes will have the least variability in the sampling distribution of the sample mean?
25
35
45
55
Answer:
35
Step-by-step explanation:
The sample size should be as large as, 55 is the largest value option fifth 55 have the least variability in the sampling distribution of the sample mean.
What are population and sample?It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.
We know in sampling distribution:
variance ∝ 1/√n
Because,
[tex]\rm \sigma_\bar{x} \ =\ \sigma_{\sqrt{n}}[/tex]
From the above relation, as the sample size is large, the variability is less.
For least variability,
The sample size must be large.
Thus, the sample size should be as large as, 55 is the largest value option fifth 55 have the least variability in the sampling distribution of the sample mean.
Learn more about the population and sample here:
brainly.com/question/9295991
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Given the equation: x + 8 = 32
True or False:
The solution to this equation is 40.
Group of answer choices
True
False
Answer:
false
Step-by-step explanation:
hope this helps!
Answer:
this equation is false because
Step-by-step explanation:
the equation is x + 8 = 32
if we put x = 40 then we get 40 + 8 = 48
therefore equation is false.
g Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule to determine the following. (a) What percentage of people has an IQ score between 76 and 124? (b) What percentage of people has an IQ score less than 64 or greater than 136? (c) What percentage of people has an IQ score greater than 136?
Answer:
a) 95% of people has an IQ score between 76 and 124.
b) 0.3% of people has an IQ score less than 64 or greater than 136.
c) 0.15% of people has an IQ score greater than 136
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 100
Standard deviation = 12
(a) What percentage of people has an IQ score between 76 and 124?
76 = 100 - 2*12
124 = 100 + 2*12
So within 2 standard deviations of the mean, and the percentage is 95%.
(b) What percentage of people has an IQ score less than 64 or greater than 136?
64 = 100 - 3*12
136 = 100 + 3*12
99.7% of people has scores between 64 and 136. So 100 - 99.7 = 0.3% of people has an IQ score less than 64 or greater than 136.
(c) What percentage of people has an IQ score greater than 136?
0.3% of people has an IQ score less than 64 or greater than 136.
Since the normal distribution is symmetric, 0.3%/2 = 0.15% are below 64 are 0.15% are above 136.
Pamela is 5 years younger than Jiri. The sum of their ages is 81. What is Jiri's age?
Answer: Jiri is 43 years old
Step-by-step explanation:
Let x be the age of Pamela, and (x+5) be the age of Jri
Expression
x+(x+5)=81
Expand paranthesis
x+x+5=81
Combine like terms
2x+5=81
Subtract 5 on both sides
2x+5-5=81-5
2x=76
Divide 2 on both sides
2x/2=76/2
x=38
Since we've set Jiri's age as (x+5), we need to substitute the value of x
x+5=38+5=43
Hope this helps!! :)
Please let me know if you have any questions
A vehicle is purchased for $19,800 and the lender requires a down payment of 20% of the purchase prize find the down payment
Answer:
the answer is 15840
Step-by-step explanation:
Whoever answers this will get branlyest
Answer:
10.8 ft
Step-by-step explanation:
6 goes into 18 3 times that means you multiply 3.6 by 3 and yo get 10.8 ft.
Carl wants to estimate the number of students in 5th grade who like to play basketball. He needs to create a random sample of students. How should Carl collect his sample? Carl should ask 30 students who are playing football. Carl should ask 30 students who are playing basketball. Carl should ask 30 students who go to the same school. Carl should ask 30 5th–grade students.
Answer:
ask 30 5th grade students
Step-by-step explanation:
if you only ask a certain group then you wont get a accurate answer
Help please! Could you explain it too?
Answer:
a) not proportional
b) proportional; k = [tex]-\frac{3}{5}[/tex]
Step-by-step explanation:
a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).
Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.
Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.
b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.
y = -(3/5)x fits with y = kx, with k being -3/5
Students are running in a relay race. Each team will run a total of 3 miles. Each member of a team will run 1/8 of a mile. How many students will a team need to complete the race?
Consider the following random experiment. First, roll a die and observe the number of dots facing up; then, toss a coin the number of times that the die shows and observe the total number of heads. For example, if the die shows three dots facing up and the coin (which is then tossed three times) comes up heads exactly twice, then the outcome of the experiment can be represented as (3, 2).
a. Determine a sample space for this experiment.
b. Determine the event that the total number of heads is even.
Answer:
{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}
B.)
{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}
Step-by-step explanation:
Sample space :
Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.
{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}
Event that the total number of head is even:
{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}
Two sections took the same vocabulary qui. Use the 5-number summary 20,30 35 45 80) to construct a boxplot for Section and use the summary 120.35.45.50.60] to construct a boxplatfor Section II. Use the same scales for both plats, of course. Based on the two boxplats, which of the following statements about the two sections CANNOT be ustes?
A. The median of Section il is greater than the median for Section L
B. About 75% of the scores in Section il are greater than the or equal to about 50% of the scores in Section
C. There are the same number of scores in Section and Section
D. The range of scores for Section is equal to the range of scores for Section II The interquartile ranges are equal for both sections.
Answer:
C. There are the same number of scores in Section and Section
Step-by-step explanation:
The median of section I is greater than the median of section L. Median is the middle value or midpoint in the data set. In the given quiz the data set has different numbers for every section and therefore the values are not same. The data set has 75% of scores in section il which is higher than the section L.
Find x. Round to the nearest tenth.
By knowing all sides of triangle and applying the formula of the law of the cosines we conclude that the missing angle X is approximately 117.9°.
How to find the missing angle
In this question we have a triangle with three known side lengths but all missing angles, we can determine the missing angle by using the law of cosines. If we know that x = 90 ft, y = 55 ft and and z = 50 ft, then the missing angle X is:
90² = 55² + 50² - 2 · 55 · 50 · cos X (1)
X ≈ 117.916°
To learn more on law of the cosines: https://brainly.com/question/17289163
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−7=y/7
y=
pls need help bad
Answer:
-49
Step-by-step explanation:
-7 = y/7; Y must be separate from any actual values, so we must multiply by 7 to get Y by itself.
-49 = y
Assignment is past due to
00:00
Use substitution. What is the solution to the system of equations? Use the drop-down menus to explain your answer.
y= { x + 2
2y = x + 4
The system of equations has infinitely many solutions
The two equations represent Choose
Choose
intersecting lines
the same line
parallel lines
Rach
Next
Answer:
The solution to the system of equation is (0, 2). The equation has only one solution.
Step-by-step explanation:
Given the system of equations
y= x + 2 .... 1
2y = x + 4 ... 2
Substitute equation 1 into 2;
From 2; 2y = x+4
2(x+2) = x+4
2x+4 = x+4
2x - x = 4-4
x = 0
Substitute x = 0 into 1;
From 1; y = x+2
y = 0+2
y = 2
Hence the solution to the system of equation is (0, 2). The equation has only one solution.
Answer:
The system of equations has
infinitely many solutions
The two equations represent
the same line
Step-by-step explanation:
Which set of ordered pairs represents a function?
O{(-1,-6), (-1, -2), (5, -1), (7,-2)}
O {(5,-9), (-2, -7), (5,4), (3,7)}
O {(4,-4), (-4,-4), (-7, -2), (-6,6)}
{(-4, 7), (-4, - 7), (-3,6), (-6, -6)}
Answer:
Third 1
Step-by-step explanation:
A function can not have repeating x-values, but CAN have repeating Y-VALUES.
(x,y)
Example : (-4,6) & (-4,2) - There is a repeating x-value, -4.
Lines R and S are parallel. Find the value of x, then find the measure of 21 and 22.
m21=(74 - x)º
m22 =(85 – 2x)
Answer:
a) The value of x = 11°
b) m21 = 63°
m22= 63°
Step-by-step explanation:
Step(i):-
Given that the lines R and S are parallel
Given that M21 = (74-x)°
M22 = (85-2x)°
Equating angles
(74-x)° = (85-2x)°
74 - 85 = x -2x
-11 = -x
x = 11°
Step(ii):-
Put x = 11°
⇒ m21 = ( 74 -11) ° = 63°
⇒ m22 = (85-2(11))° = (85-22)° = 63°
Final answer:-
a) The value of x = 11°
b) m21 = 63°
m22= 63°
What is the probability of spinning a number greater than 5 on a spinner numbered 1-8 and tossing a tail on a coin
Answer:
3/16
Step-by-step explanation:
P(6,7,8 and 'T') = 3/8 x 1/2 = 3/16
Answer:
12/64
Step-by-step explanation:
We have numbers 1-8 = /8
We have the numbers 6, 7, 8 on the spinner = 3/8
We have the event it doesn't get over 8 too = 8/8-3/8 = 5/8
To use if the question has two events for spinner.
We toss a coin = H or T = 1/2
We convert a 3/8 and 1/2 to same HCF = 4/8 = ( 2x 4 = 8)
3/8 x 4/8 = 12/64
Divide the following. Put your answer in
scientific notation.
(77) divided by (4.9 X10^6)
Answer:
1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5
Step-by-step explanation:
Standard Notation:
122500 + 3655 = 1.26155 x 10 to the power 5
Scientific Notation:
1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5
E Notation:
1.225e5 + 3.655e3 = 1.26155e5
Look at pic
Time in Weeks
Which panda was heavier when they were born?
Which inequality represents the sentence below?
Two more than a number is less than 14.
0 2+ns 14
O 2+n< 14
O 2+ n2 14
O >
2+n> 14
Answer:
it is b
Step-by-step explanation:
use the rule to write the first five terms of the pattern: Rule: add 8, subtract 4 First term: 13
Answer:
17
Step-by-step explanation:
13 + 8 - 4
Answer:
{13, 17, 21, 25, 29}
Step-by-step explanation:
Add 8 and subtract 4 is equivalent to Add 4.
If the first term is 13, the next is 17;
the second term is 21; and
the third term is 25.
Select the correct answer.
For which function is f(x) equal to f-1(x)?
A. F(x)=x+6/x-6\
B. F(x)= x+2/x-2
C. f(x) = x+1/x-1
D. f(x) = x+5/x-5
Answer: D
Step-by-step explanation: They are greater than the lengths of the sides of the base.
Write formulas for the following mathematical statement.
The difference between the selling price and cost price is profit
Combine like terms to simplify the expression: ill mark brainliest
7 − 3x + 3 + 8x = ______
8 + 5x
10x
10 + 5x
4 + 11x
8 − 5x pls fast ill give brainlyest
A GPA is usually an example of a
Answer:
Gpa is grade point average, it shows how well or high your scores in a subject or course on average . It’s an overall grade. It summarizes your final academic achievement or grade.
Step-by-step explanation:
Cscx - sinx/cscx =cos^2x
Answer:
dont remove my work :/
Step-by-step explanation:
20) Write a division number story with an answer of 1/4.
Be sure to ask a question.
Answer:
Story: Mr. Lanre bought 8 apples for $2. What is the cost of each apple.
Step-by-step explanation:
Given
[tex]Answer = \frac{1}{4}[/tex]
Required
Write a division story
A division story could be:
Mr. Lanre bought 8 apples for $2. What is the cost of each apple.
Solving the above problem, we have:
[tex]Apples = 8[/tex]
[tex]Total\ Cost =\$2[/tex]
The cost of each is:
[tex]Each = \frac{Total\ Cost}{Apples}[/tex]
[tex]Each = \frac{2}{8}[/tex]
Simplify fraction
[tex]Each = \frac{1}{4}[/tex]