Answers
5x = 22 - 2
5x = 20
x = 20/5
x = 4
[tex]5x+2=22[/tex]
To solve this, we need to isolate the number 2 by shifting it infront of 22. By this, we can easily solve the equation.
[tex]5x = 22 -2[/tex]
We need to be very careful while isolating the number, make sure the operation is opposite.
[tex]5x = 22 -2[/tex]
[tex]5x = 20[/tex]
[tex]x=20/5[/tex]
[tex]x=4[/tex]
Hope I helped (:
Have a great day!
Related Questions
Two numbers have a difference of 24. What is the sum of their squares if it is a minimum?
288
1156
366
576
Answers
a - b = 24
We want to find where a^2 + b^2 is a minimum. Instead of just logically figuring out that the answer is where a=b=12, I'll just use derivatives.
So we can first substitute for "a" where a = b+24
So we have (b+24)^2 + b^2 = b^2 +48b +576 + b^2
And that equals 2b^2 +48b +576
Then we take the derivative and set it equal to zero:
4b +48 = 0
4(b+12) = 0
b + 12 = 0
b = -12
Thus "a" must equal 12.
So:
a = 12
b = -12
And the sum of those two numbers squared is (12)^2 + (-12)^2 = 144 + 144 = 288.
The smallest sum is 288.
In the chemistry lab an experiment requires 500ml of one ingredient to be mixed with 1,000 ml of another. How many liters is the solution
Answers
1000 + 500 = 1500
1500 ml = 1.5 litres.
So. 1.5 L is the solution.
I hope this helped you out! :)
After mixing 500 ml with 1,000 ml, the total volume of the solution is 1.5 liters.
Explanation:To find out how many liters the solution is after mixing 500 ml with 1,000 ml, you simply add the volumes together and convert to liters. First, you have a total volume of 500 ml + 1,000 ml = 1,500 ml. Now, notice that you are going from a smaller unit (milliliters) to a larger unit (liters). Since there are 1,000 milliliters in a liter, you will need to divide by 1,000:
1,500 ml ÷ 1,000 = 1.5 liters.
Therefore, the solution will have a total volume of 1.5 liters.
The perimeter of a given is an integer. the length of side one is 4 times the length of side 2. side three is 33. what is the largest and smallest possible perimeter
Answers
the sum of two sides of a triangle has to be larger than the third side, and the difference has to be smaller than the third side
the two unknown sides are x and 4x
x+4x>33 => x>6.6
4x-x<33 => x<11
6.6<x<11
because the perimeter is an integer, the smallest x is 7 and the largest is 10
therefore the largest perimeter is 10+40+33=83
the smallest perimeter is 7+28+33=68
Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. Which of the following conclusions can you make about Chuy's plan?
a. Chuy has a good plan and will have exactly $1,350 saved at the end of 27 weeks.
b. Chuy must increase the amount he saves each week in order to meet his goal at the end of 27 weeks.
c. Chuy will save more than he needs and will meet his goal in less than 27 weeks.
d. There is not enough information given to make a conclusion about Chuy's plan.
Answers
Answer:
Option C. is correct.
Step-by-step explanation:
Chuy needs $1,350 to buy a new television.
he decides to save the same amount of money each week for 27 weeks.
In 8 weeks Chuy saved = $440
In 1 week Chuy saved $440 ÷ 8 = $43.00
Therfore, in 27 weeks Chuy can save = 43.00 × 27 = $1485.00
Chuy can save $1485.00 in 27 weeks that is more than he needs.
So Option c. would be correct Chuy will save more than he needs and will meet his goal in less than 27 weeks.
Suppose you have two credit cards. The first has a balance of $415 and a credit limit of $1,000. The second has a balance of $215 and a credit limit of $750. What is your overall credit utilization?
Answers
Explanation:
You have used a total of 415+215=630. You have a total credit limit of 1000+750=1750. This makes your utilization 630/1750=36%.
A drama club earns $1040 from a production. It sells a total of 64 adult tickets and 132 student tickets. An adult ticket costs twice as much as a student ticket.
Answers
We can put x as the price of a student ticket so that an adult ticket will be 2x.
64(2x)+132x=1040
260x=1040
x=4
Student=4
Adult=8
Have a good day!
H(x)=-4x+3;when h(x)=11
Answers
Then, to solve for x, which is what I am assuming the question is asking, you would subtract 3 from both sides to isolate -4x, which would result in this:
-4x=8
Now, to solve for x, divide both sides by -4, and you get your answer which is x=-2
A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box? The formula for the volume is V = l ⋅ w ⋅ h.
a.193.8 cubic inches (in^3)
b.2325.6 cubic inches (in^3)
c.1.35 cubic inches (in^3)
d.16.15 cubic inches (in^3)
Answers
hope this helps!
There 20 colored pencils in a box:4 red, 5 green, 10blue , and 1 black. You pick a pencil without looking. What is the sum of the probability of picking a red pencil and the probability of picking a black pencil
Answers
write 0.4*0.4*0.4*0.4*0.4 using exponentail nation.
Answers
0.4 is the base.
The number of equal factors of 0.4 is 5, so the exponent is 5.
0.4^5
[tex]0.4^{5} [/tex]
Many communities today are concerned with their local government’s ability to appropriately manage the taxes it collects. If a government spends more money on expenditures than it collects in taxes, it may end up with not enough money, called deficit. Which of the following could result in a county government budget in deficit?
a.The government raises sales and property taxes without adjusting expenditures.
b.The county closes a fire station, reducing expenditures, without adjusting taxes.
c.The county gives all public school teachers a $2,000 raise without adjusting taxes.
d.The county collects donations to build a fountain in city hall.
Answers
Answer:
C.The county gives all public school teachers a $2,000 raise without adjusting taxes.
Step-by-step explanation:
100% on edge
The correct answer is Option (C).The county gives all public school teachers a $2,000 raise without adjusting taxes.
What is Budget deficit?A budget deficit occurs when the government spends more than it receives through taxation.Learn more about the budget deficit here
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Are 2/4 and 20/36 proportional?
And y?
Answers
Greg is opening a car wash. He estimates his cost equation as C = 9000 + 0.09x and his revenue equation as R = 1.85x, where x is the number of cars washed in a six-month period. Find the number of cars that must be washed in a six-month period for Greg to make a profit.
Answers
9000+0.09x = 1.85x
subtract 0.09x from each side
9000 = 1.76x
divide both sides by 1.76
x = 9000/1.76
x = 5113. 64
he needs to wash 5114 cars to make a profit.
What is x percent of y percent of z, in terms of x, y, and z?
Answers
A newspaper has more than 30 pages and fewer than 40 pages. The newspaper is divided into sections and each section has 8 pages. How many sections does the newspaper have
Answers
So the newspaper has 4 sections.
On a separate sheet of paper, graph 3x+6y=18 In the box below, enter the y value when x = 2.
Answers
Now, you want to get y alone.
3*2= 6
6+6y=18
Next, you want to subtract 6 from both sides. Leaving you with,
6y=12
Divide both sides by 6 and you will be left with...
y=2
I believe that this is the right answer is right. Good luck!!
Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After reading for 4 hours, he had 330 pages left to read. how long is the book?
Answers
Answer: There are 550 pages in the book
Explanation:
Since we have given that
Number of pages per hour Naoya read = 55
Number of hours he read the book = 4
Total number of pages he read is given by
[tex]55\times 4=220[/tex]
Still there are some pages are left ,
Number of pages left = 330
So, total number of pages in the book is given by
[tex]330+220=550[/tex]
Hence, there are 550 pages in the book .
Answer:
550 pages 10 hours
Step-by-step explanation:
Which of the following statements are true? Check all that apply.
The perimeter of a square depends on the length of its sides. A square with a side length of 4 meters has a perimeter of 16 meters. A square with a side length of 6 meters has a perimeter of 24 meters.
A. Perimeter(16) = 4
B. Perimeter(6) = 24
C. Perimeter(24) = 6
D. Perimeter(4) = 16
Answers
Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct?
Answers
Nolan did the following work to solve the problem -14.52 + 7.3. 14.52 - 7.3 7.22 So, 14.52 - 7.3 = 7.22 Which of the statements is true about his work and answer? His answer is correct. His answer is incorrect, because the answer should be negative. His answer is incorrect, because he didn't line up the decimals.
Answers
That what I got when I did the math
Hope this helps have a nice day
The true statement is: His answer is incorrect, because the answer should be negative.
What are Integers?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
Step 1: -14.52 + 7.3
Step 2: 14.52 - 7.3
Step 3: 7.22
So, 14.52 - 7.3 = 7.22
Nolan made a mistake in step 2 because 14.52 is negative and the answer should be negative.
So, His answer is incorrect, because the answer should be negative.
Learn more about integers here:
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Graph the logarithmic equation y= log 5x
Answers
which graph shows the inequality n>-2
Answers
< less than
> greater than
≤ less than or equal to
≥ greater than or equal to
in this equation it says that "n is greater than -2" so the equation line has to go to the right. and when the equation has the signs < or >, the circle has to be dotted and when the signs are ≤ or ≥ the circle has to be solid.
so the answer is C.
hope this helps, God bless!
Someone please help me
Find the value of x .
A) 80
B) 100
C) 130
D)120
Answers
130 +145 +65+160+120 = 620
the total inside angles for a 6 sided polygon should = 720
so x = 720-620 = 100
B is the answer
A quiz consists of 20 multiple-choice questions, each with 5 possible answers. for someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 60 %.
Answers
To find the probability of passing the quiz, we need to determine the minimum number of correct answers needed to achieve a passing grade. The probability of guessing the correct answer for each question is 1/5, so the probability of getting exactly 12 correct answers is calculated using the binomial probability formula.
Explanation:To find the probability of passing the quiz, we need to determine the minimum number of correct answers needed to achieve a passing grade. Since a passing grade is 60%, this corresponds to 12 correct answers out of 20. The probability of guessing the correct answer for each question is 1/5, so the probability of getting exactly 12 correct answers is given by the binomial probability formula:
P(X = k) = (nCk) * p^k * (1-p)^(n-k)
Using this formula, we can calculate the probability of passing the quiz.
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The problem can be solved using binomial distribution principles where the number of trials is the total number of questions (20), success is answering a question correctly, and the probability of success is 1/5 since the answers are guessed randomly. Calculate the cumulative binomial probability for getting 12 (minimum passing grade at 60%) to 20 (total questions) correct answers. This gives the probability of passing the test.
Explanation:The question asks about the probability of passing a 20 question quiz with each question having 5 possible answers, by making random guesses. To pass the quiz, a grade of 60% is required which means at least 12 questions need to be answered correctly. Since the answers are guessed randomly, the chance of picking the correct answer for each question is 1/5 or 0.2.
We can treat this problem as a binomial distribution problem, where the success is answering a question correctly. In this case, the number of trials is n=20 (the total number of questions), the number of success k is 12 or more (the minimum number of correct answers required to pass), and the probability of success p is 0.2 (since there are 5 multiple choice options per question).
Calculating the cumulative binomial probability for k=12 to n=20, we get the required probability of passing the test. Given that we have to calculate multiple probabilities and sum them, this problem might be easier to solve if you have statistical software or a calculator that can compute binomial distributions.
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help picture attached !!
Answers
= (7 2/3) / (1 1/3)
= (23/3) / (4/3)
= 23/3 * 3/4
= 69/12
= 23/4
= 5 3/4
= 5 9/12
Which statements prove that a quadrilateral is a parallelogram?
Select each correct answer.
Quadrilateral DEFG has one diagonal that bisects the other diagonal.
Quadrilateral DEFG has only one set of opposite angles that are congruent.
Quadrilateral DEFG has two sets of consecutive angles that are supplementary.
Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel.
Answers
*Opposite angles are congruent
*Consecutive angles are supplementary
*The diagonals of a parallelogram bisect each other.
Statement 1: This statement does not prove that the quadrilateral is a parallelogram because both diagonals have to bisect each other and not only one.
Statement 2: A parallelogram has two sets of opposite angles not only one. The statement would prove the quadrilateral is a parallelogram if it said that the quadrilateral has two sets of opposite angles that are congruent.
Statement 3: This statement is a property of a parallelogram. However, it doesn't prove that a quadrilateral is a parallelogram.
Statement 4: This statement proves that the quadrilateral is a parallelogram. If the statement, however, said that the quadrilateral has one set of opposite sides that are only congruent or only parallel, then it would not prove the quadrilateral to be a parallelogram.
The statement "Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel" proves that a quadrilateral is a parallelogram.
A quadrilateral has 4 sides and the sum of interior angles are [tex]360^\circ[/tex] where as the parallelogram is a quadrilateral whose oppposite sides are parallel to each other.
The following statements are:
A). The statement "Quadrilateral DEFG has one diagonal that bisects the other diagonal" is incorrect because both diagonals have to bisect each other.
B). The statement "Quadrilateral DEFG has only one set of opposite angles that are congruent" is incorrect because a quadrilateral is a parallelogram when it has two sets of opposite angles that are congruent.
C). The statement "Quadrilateral DEFG has two sets of consecutive angles that are supplementary" is incorrect although it is a property of parallelogram.
D). The statement "Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel" is correct this statement proves that a quadrilateral is a parallelogram.
For more information, refer the link given below:
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Can anybody help me with questions 6-9?
Answers
6. z=2a-p
7. w= A/L
8. w= v/Lh
9. t= (A-P)/PR
Good luck!
Have a good mark for this question.
Solve for x and y please !!
Answers
y = 72 yd
x^2 = 72^2 + 72^2
x^2 = 2(72^2)
x = 72√2 yd
since both inside angles are 45, the height and the base would be the same
the height is 72 yd
so the base (y) would also be 72 yd
Y = 72
and x would equal y * sqrt(2)
so x = 72sqrt(2)
AOB and BOC are _____.
complementary angles
supplementary angles
right angles
vertical angles
Answers
Mr. sharrone can paper a room in 3 hours. his assistant needs 5 hours. if mr. sharrone works 1 hour and then his assistant completes the job alone, how long will it take the assistant to finish the job?
Answers
the assistant does 1/5 of the job each hour
1(1/3) + H (1/5) = 1 (complete job)
1/3 + 1/5 H = 1
1/5 H = 1 - 1/3 = 2/3
H = (2/3) / (1/5) = 10/3 = 3 1/3 hours to complete the job