Answer:
x = 10
Step-by-step explanation:
-3x - 6 = -7x + 34
+7x
4x - 6 = 34
+6
4x = 40
/4
x = 10
Answer:
x = 10
Step-by-step explanation:
-3x - 6 = -7x + 34 Add 7x to both sides
4x - 6 = 34 Add 6 to both sides
4x = 40 Divide both sides by 4
x = 10
what is the anwser
-2|7x-1|= 14
Answer: -3/4
Step-by-step explanation: Lucky I just learned about this last week! Multiply 7 and -1 by -2 which makes the equation -14x + 2 = 14. Subtract 2 from both sides to make -16x = 12. Then divide each side by -16 and you get -3/4 = x.
Nice helping out!
Answer:
There are no solutions.
Step-by-step explanation:
Hello!
Isolate the absolute value equation first:
-2|7x - 1| = 14|7x - 1| = -7Now stop and think.
An absolute value equation always has a positive outcome, because you are finding the positive value of what's inside. The outcome here is negative, so there is no value of x that makes it so that the absolute value is negative.
So the solution is No Solutions.
Elena is making a grape drink. the recipe calls for 5 parts strawberry juice to 3 parts water. elena would like to make 80 fluid ounces of the grape drink. how many fluid ounces of grape juice concentrate and water does elena need?
Answer:
50:30
Step-by-step explanation:
What is the scale factor that takes circle m to circle n? Solve on paper if you need to. Then, enter your answer on Zearn
The scale factor which takes circle m to circle n as depicted in the attached image is; 3.
What is the scale factor that takes circle m to circle n as required?It follows from the task content that the scale factor which takes circle m and transforms it to circle n is to be determined.
Hence, since both circles have the same center, the center can be taken as a point of reference.
Therefore, the distances between the center of the circles m and n to any point on their circumferences are; 3 units and 9 units respectively.
On this note, since circle n is; 9/3 = 3 times as large as circle m, it follows that the required scale factor is; 3.
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For the rhombus below, find the measures
suppose that you want to investigate the factors that potentially affect cooked rice. (a) what would you use as a response variable in this experiment? how would you measure the response?
I would use weight of the rice after it has been fully cooked as a response variable.
The response variable I would use would be weight of the rice after it has been fully cooked. Different studies have depicted that when different types of rice are cooked, they absorb the water and the ingredients in which they are being cooked, and they concluded having different weights after being fully cooked. So, the suitable response variable would be the final weight of the rice after they are fully cooked. This response can be measured by comparing it to the initial weight of rice before cooking.
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5x-13+7y+26x how do I do this?
The expression to simplify is
[tex]5x-13+7y+26x[/tex]We will simplify by combining like terms.
• There are FIVE x's and TWENTY-SIX more x's. We add.
5x + 26x = 31 x
• There is 1 constant, NEGATIVE THIRTEEN. No combining required so leave it as is.
,•
,• There is 1 term with y, which is SEVEN y. No combining required, so we leave it as is.
The final expression is
[tex]\begin{gathered} 5x-13+7y+26x \\ =31x+7y-13 \end{gathered}[/tex]Find the direction angle of the vector u=-8i+5j. That is, find the angle between 0 degrees and 360 degrees that u makes with the positive x-axis
we have the vector
u=-8i+5j
see the attached figure to better understand the problem
tan(x)=5/8
x=tan^-1(5/8)
x=32 degrees
Find out the angle theta
148 degrees
the answer is 148 degrees
What percentage of people in the study started
saving for retirement at age 21 or before? How
does this compare with the how many of these
same people believe their children or
grandchildren should start saving at 21 or
before?
Answer:8% started saving at or before 21
30% believe their children or grandchildren should start saving at or before 21
Step-by-step explanation: on the graph, the ones in lighter color start saving for requirements
That is 3%+5%=8%
The second solution goes thus
13%+17%= 30%
the ones in dark colors believe their children or grandchildren should start saving before 21
2/3x - 8 when x = 12
1) For this question, all we need to do is to plug it in the value for x.
So,
2/3x -8 =0 Plugging into x the value x=12
2/3(12) -8 =0
8 -8 =0
0
So when x=12, then the equation is equal to zero. This leads us to conclude that 12 is the root or the solution of this equation.
Can u please help me with this answer
Answer:
option a as x=8 hope you understand my writing , if got some problem comment down
Is a total of 13 horses complete in the horse race the bell mistakes and how many different ways can the top 5 position be arranged
SOLUTION:
Questions involving arrangement is permutation, while questions involving selection is combination.
Since the given question involves arrangement, so the correct option is PERMUTATION.
The number of possible arrangements for the top five finishers from the 13 horses is 13 permutation 5.
[tex]^{13}P_5\text{ = 154,440 ways}[/tex]A certain state uses the following progressive tax rate for calculating individual income tax: Income Progressive Range ($) Tax Rate 0 - 3000 2% 3001 - 5000 3% 5001 - 17,000 5% 17,001 and up 5.75% Calculate the state income tax owed on an $90,000 per year salary. tax = $[?] Round your answer to the nearest whole dollar amount.. Enter
The state income tax owed on a $90,000 per year salary is $5,175.
What is the income tax owed?
Tax is a compulsory amount that is levied by the government on the income of individuals or on certain goods and services. Progressive tax is when the amount of tax paid by individuals increases as the amount of income earned increases. The amount paid as tax can be determined by multiplying the appropriate tax rate by the total income.
Tax paid = income x tax rate
$90,000 x 5.75%
$90,000 x 0.0575 = $5,175
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The state income tax owed on an $90,000 per year salary is $5,175.
What is Tax?Taxes are mandatory contributions levied on individuals or corporations by a government entity
Given,
A certain state uses the following progressive tax rate for calculating individual income tax: Income Progressive Range ($) Tax Rate 0 - 3000 2% 3001 - 5000 3% 5001 - 17,000 5% 17,001 and up 5.75%
We need to find the state income tax owed on an $90,000 per year salary.
Tax paid = income x tax rate
$90,000 x 5.75%
5.75% should be converted to decimal by dividing with 100.
5.75/100=0.0575
So $90,000 x 0.0575 = $5,175
Hence the state income tax owed on an $90,000 per year salary is $5,175.
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Simplify the expression, 2√54x8 - 4√24x8
Answer:
[tex]-2\sqrt{} 6x^{8}[/tex]
Step-by-step explanation:
A guy wire runs from the top of a cell tower to a metal stake in the ground. Hannah
places a 6-foot tall pole to support the guy wire. After placing the pole, Hannah
measures the distance from the stake to the pole to be 1 ft. She then measures the
distance from the pole to the tower to be 12 ft. Find the length of the guy wire, to the
nearest foot.
The length of the guy wire, to the nearest foot is 1548 ft.
What is the Pythagoras theorem?The right-angled triangle's relationship between its three sides is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The square of a triangle's hypotenuse is equal to the sum of its other two sides' squares, according to the Pythagoras theorem. The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized
After sketching the information given, we have two similar right triangles, ΔABE and ΔCDE.
CD = 6 ft
DE = 1 ft
BD = 12 ft
Since ΔABE ~ ΔCDE, therefore,
AB/CD = BE/DE (proportional sides)
Plug in the values
AB/6 = (12 + 1)/2
AB/6 = 13/2
Cross multiply
AB = 13(3)
AB = 39 ft
AE = √(AB² + BE²)
AE = √(39² + 12²)
AE = 1548 ft (nearest foot)
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Answer: The length of the guy wire, to the nearest foot is 1548 ft.
Step-by-step explanation:
In Mr. Patterson’s class, the average score among students who studied for an exam was 78. The average among students who did not study was 54. The overall class average was 70. What portion of the class did not study? Express your answer as a common fraction.
5. How many ways are there to distribute 10 indistinguishable candies among 4 different
children? Children may end up with no candies.
PLSSSSS HELP IT IS EXTREMELY URGENT PLSSSS
By application of the combination formula, there are 210 ways for distributing 10 indistinguishable candies among 4 children.
What is combination?Combination is the arrangement of objects in which order is not taken into account.
The applicable formula is:
n combination r = n!/[(n - r)!r!]
where n is the number of indistinguishable items (10 candies), and r is the possible number of recipients (4 kids).
Hence;
10 combination 4 = 10!/[(10 - 4)!4!] ways
10 combination 4 = 10!/(6! × 4!) ways
10 combination 4 = (10 × 9 × 8 × 7 × 6!)/(6! × 4 × 3 × 2 × 1) ways
10 combination 4 = 10 × 3 × 7 ways
10 combination 4 = 210 ways
Therefore, there are 210 ways for the 10 indistinguishable candies to be distributed among the 4 children by with the application of combination formula.
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Simply the equation 3(6+x)=-18
Answer 3(6 + x) = -18 is 3
Explanation.-18 = 3(6 + x)
-18 = 18 + 3x
3x = 18 - 18
x = 0 + 3
x = 3
____________________
Class: High School
Lesson: Equation
[tex]\boxed{ \colorbox{lightblue}{ \sf{ \color{blue}{ Answer By\:Cyberpresents}}}}[/tex]
order the fractions 4/5, 1/2,9/10,3/4 from least to greatest
Answer:
1/2 -> 3/4 -> 4/5 -> 9/10
Step-by-step explanation:
1/2 = 50%
3/4 = 75%
4/5 = 80%
9/10 = 90%
How to figure out:
1/2 - Divide 100/2 = 50. So 1/2 of 100 is 50 so 50%
3/4 - Divide 100/4 = 25. Now multiply 25 x 3 = 75 so 75%
4/5 - Divide 100/5 = 20. Now multiply 20 x 4 = 80 so 80%
9/10 - Divide 100/10 = 10. Now multiply 10 x 9 = 90 so 90%
a poll is given, showing 45% are in favor of a new building project. if 10 people are chosen at random, what is the probability that exactly 8 of them favor the new building project?
Answer:
The probability that exactly 4 of them favour the new building project is 0.0768
what is Probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Step-by-step explanation:
We would assume a binomial distribution for the number of people that are in favour of a new building project. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represents the number of successes.
p represents the probability of success.
q = (1 - r) represents the probability of failure.
n represents the number of trials or samples.
From the information given,
p = 40% = 40/100 = 0.4
q = 1 - p = 1 - 0.4
q = 0.6
n = 5
x = r = 4
Therefore,
P(x = 4) = 5C4 × 0.4^4 × 0.6^(5 - 4)
P(x = 4) = 5 × 0.0256 × 0.6
P(x = 4) = 0.0768
Hence, The probability that exactly 4 of them favour the new building project is 0.0768.
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You had $21 to spend on five notebooks after buying them u had $6 dollars how much did each notebook cost.
Let x be the cost of each notebook. We know that we bought 5 of them, then the total cost of the notebooks is:
[tex]5x[/tex]We had 21 dollars and we spent 5x on the notebooks, this can be express as:
[tex]21-5x[/tex]Finally we know that this is equal to the six dollars we had at the end, then we have the equations:
[tex]21-5x=6[/tex]Solving for x we have:
[tex]\begin{gathered} 21-5x=6 \\ 21-6=5x \\ 5x=15 \\ x=\frac{15}{5} \\ x=3 \end{gathered}[/tex]Therefore each notebook cost $3
Which of the following correctly uses the distributive property to multiply 12 and 9?
(10 x 10) − (2 x 1) = 100 − 2 = 98
(10 x 10) + (2 x 1) = 100 + 2 = 102
(10 x 9) − (2 x 9) = 90 − 18 = 72
(10 x 9) + (2 x 9) = 90 + 18 = 108
Answer:
(10 x 9) + (2 x 9) = 90 + 18 = 108
Step-by-step explanation:
This is the answer because you break 12 into different parts, multiply them separately multiply them with nine. You can check the answer by doing 12*9 = 108 which matches what we need.
For his science project, Spencer needs to photocopy his 21-page
presentation. There are 37 students in his class, and he will need copies for
each person, including his teacher. Each photocopy is $0.12.
How much will Spencer spend at the copy center?
A $77.70
B $93.24
C $95.76
D $100.3
Answer: $95.76
Explantion: Spencer spend $95.76 dollars at the copy center.
Then your done
A normal distribution has = 32 and = 5.
(a) Find the z score corresponding to
x = 27.
(b) Find the z score corresponding to
x = 43.
(c) Find the raw score corresponding to
z = −3.
(d) Find the raw score corresponding to
z = 1.1.
a) z score corresponding to x = 27 is -1
b) z score corresponding to x = 43 is 2.2
c) Raw score corresponding to z = -3 is 17.
d) Raw score corresponding to z = 1.1 is 37.5
Given,
Normal distribution with μ = 32 and σ = 5
a) z score corresponding to x = 27
z = (x - μ) / σ
Then,
z = (27 - 32) / 5 = -5/5 = -1
That is, z score corresponding to x = 27 is -1.
b) z score corresponding to x = 43
z = (x - μ) / σ
Then,
z = (43 - 32) / 5 = 11/5 = 2.2
That is, z score corresponding to x = 43 is 2.2
c) Raw score corresponding to z = -3
z = (x - μ) / σ
Then,
-3 = (x - 32) / 5
-3 × 5 = x - 32
-15 = x - 32
x = 32 - 15 = 17
That is, raw score corresponding to z = -3 is 17.
d) Raw score corresponding to z = 1.1
z = (x - μ) / σ
1.1 = (x - 32) / 5
1.1 × 5 = x - 32
x = 32 + 5.5 = 37.5
That is, raw score corresponding to z = 1.1 is 37.5
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Alfred and Rani both picked different two-digit numbers. If you multiply Alfred's number by 5 and double Rani's number, the sum is 300. If you double
Alfred's number and multiply Rani's number by 3, the sum of the two numbers is 252. What is the sum of their two numbers?
O 96
O 112
O 128
O 144
O 150
Please help, i really need help please
Answer:
m∠1 = 151°
m∠2 = 29°
m∠3 = 151°
Step-by-step explanation:
We can use knowledge of vertical angles and supplementary angles.
➜ Vertical angles are congruent
➜ Supplementary angles are equal to 180° when added together
Answer:
m∠1 = 151, m∠2 = 29, m∠3 = 151.
Step-by-step explanation:
We know m∠4 is equal to 29. We know m∠4 and m∠2 are equal because they are vertical angles. That means m∠2 is 29. Now, m∠4 and m∠3 equal 180, and m∠2 and m∠1 also equal 180. Since we know m∠4 is 29, you can do 29 + m∠3 = 180. You get m∠3 = 151. Now, m∠1 and m∠3 are also equal because they are vertical angles. That means m∠1 is equal to 151 as well. So your final answers are m∠1 = 151, m∠2 = 29, and m∠3 = 151.
For the function Rx) = +2, which of these could be a value of Ax) when x isclose to 2? A. 0.01B. 2C. -0.01D. 10,000
The given function F(x) is,
[tex]F(x)=\frac{1}{x-2}[/tex]Take the limit of the function when x ix close to 2.
[tex]Lt_{x\rightarrow2}\frac{1}{x-2}=\infty[/tex]Hence, the function diverges.
WILL GIVE BRAINLOST TO BEST QUSTION
The cost of a ride in a taxi is $4 for the first half-mile plus a constant amount per half-mile after that. The sequence below shows the pattern of numbers that appear on the driver's screen.
2.50, 2.75, 3, 3.25, 3.50,...
Which of the following is the Recursive Function that can be used to determine f(x), the cost in dollars, for a ride in the tax of, x. half miles?
Answer:
I don't know men iam grade 7 student
In Emily's physics class, she had to solve the equation 9 = 12at2 + ut for u. Each step of her work is shown below.
Use the drop-down menus to explain each step.
The equation of u when it is the subject is u = 9/t - 12at
How to determine the solution for the equation for u?From the question, the original equation is given as
9 = 12at2 + ut
Next, we rewrite the equation to show the exponents
This is represented as
9 = 12at² + ut
To solve further, we simply isolate the variable term ut
This is done by subtracting 12at² from both sides of the equation
So, we have the following equation
9 - 12at² = 12at² - 12at² ut
Evaluate the like terms in the equation
So, we have
9 - 12at² = ut
Lastly, divide both sides of the equation by t
So, we have
(9 - 12at²)/t = ut/t
Evaluate the quotients
9/t - 12at = u
Make us the subject
u = 9/t - 12at
Hence, the solution for the equation for u is u = 9/t - 12at
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I just need help with question 1 for exercise 3!
SOLUTION:
Case: Transformation:
To find the transformation, compare the equation to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Method:
1,
[tex]y=(5x)^3-3[/tex]Transformation features:
Horizontal: None
Shift: None
Stretch/Compression: None
Vertical:
Shift: Down by 3 units
Stretch/Compression: Stretch by a factor of 5
2.
[tex]y=-7(x+9)^2[/tex]Transformation features:
Horizontal:
Shift: left by 9 units
Stretch/Compression: None
Vertical:
Shift: None
Stretch/Compression: Stretches by a factor of 7.
Final answer:
1.
Vertical:
Shift: Down by 3 units
Stretch/Compression: Stretch by a factor of 5.
2.
Horizontal:
Shift: left by 9 units
Vertical:
Stretch/Compression: Stretches by a factor of 7.
can you help solve for y?
Answer:
Go ahead and color the nose red!
The solution is
[tex]y = \dfrac{n-9}{x}[/tex]
Step-by-step explanation:
[tex]\text{We have: }\\\\[/tex]
[tex]\rightarrow\; \dfrac{x}{y} + 9 = n\\\\\\\text{Subtract 9 from both sides:}\\\\\rightarrow\;\dfrac{x}{y} + 9 - 9 = n - 9\\\\[/tex]
[tex]\rightarrow\;\dfrac{x}{y} = n - 9\\\\[/tex]
Multiply both sides by y:
[tex]\rightarrow\; y \cdot \dfrac{x}{y} = y (n-9)\\\\\rightarrow\; x = y(n-9)\\\\\\[/tex]
[tex]\text{Divide both sides by (n-9)}:\\\\\\\rightarrow\; \dfrac{x}{n-9} = \dfrac{y (n-9)}{n-9}\\\\\\\rightarrow\; \dfrac{x}{n-9} = y\\\\\\[/tex]
By switching sides without changing the meaning, this can be re-written as :
[tex]y = \dfrac{x}{n-9} \\\\[/tex]
which of course means you can color the nose red
:)