1/4=3/12
2/3=8/12
5/12=375
375/5=75
1/12=75
75*12=900
10/12=5/6
5/6=750
Answer:
750 add and divide and stuff
Solve the quadratic equation for x.
(x−4)(x+6)=0
Answer:
X = 4, -6
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
x = 4 and x = -6
Step-by-step explanation:
We can use the Zero Identity Property, which states that 0 * n = 0, where n is any number.
Here, in order for (x - 4)(x + 6) = 0 to be true, either x - 4 must equal 0 or x + 6 must equal 0. So set each of them equal to 0 and solve for x:
x - 4 = 0
x = 4
x + 6 = 0
x = -6
The answers are x = 4 and x = -6.
Hope this helps!
Factor the expression:
16x^2 - 16xy^3 + 4y^6
Answer:
(4x - 2y³)²
Step-by-step explanation:
a² - 2ab + b² = (a - b)²
16x² = 4²x² = (4x)² , Therefore, a = 4x
4y⁶=2²(y³)² = (2y³)² = b² , Therefore, b = 2y³
2ab = 2*4x*2y³ = 16xy³
16x² - 16xy³ + 4y⁶ = (4x)² - 2* 4x * 2y³ + (2y³)²
= (4x - 2y³)²
Answer:(4x - 2y³)²
Step-by-step explanation:
At a car dealership, the sales records of weekdays and weekends were examined. Ten of the days examined were weekdays and 10 of them were weekend days. The following statistical information was calculated from the number of sales made during weekdays and weekends.
Weekday
Sales Weekend
Sales
Mean 15 18
Median 13 19
Mode 14 21
Range 10 13
Based on these samples, what generalization can be made?
A.
Not enough information is provided to draw any of these conclusions.
B.
More cars were sold on the weekdays than on the weekends.
C.
The same number of cars were sold on the weekends as on the weekdays.
D.
Less cars were sold on the weekdays than on the weekends.
Answer:
I believe D is the answer
Step-by-step explanation:
Chinedu sat down to do his homework, which included 30 math problems. He solved 2 problems each minute. Let f(n) be the number of problems left for Chinedu to solve at the beginning of the nth minute.
f is a sequence. What kind of sequence is it?
IS IT GEOMETRIC OR ARITHMETIC AND TELL ME THE EXPLICIT FORMULA
Answer:
Arithmetic sequence
f(n)=30-2(n-1)
Step-by-step explanation:
Chinedu's problem-solving sequence is arithmetic. The explicit formula for the sequence is f(n) = 32 - 2n.
Chinedu's homework problem involves a sequence where he solves 2 problems each minute, starting with 30 problems. To determine the number of problems left at the beginning of the nth minute, we can use an arithmetic sequence since the number of problems decreases by a constant amount (2 problems) each minute.
In an arithmetic sequence, the nth term can be expressed using the formula:
f(n) = a + (n - 1)d
where a is the first term and d is the common difference.
Steps:
Identify the first term (a), which is 30 (the total number of problems initially).Identify the common difference (d), which is -2 (since Chinedu is solving 2 problems each minute).Apply the formula:f(n) = 30 + (n - 1)(-2) = 30 - 2(n - 1) = 32 - 2n
So, the explicit formula for the sequence is f(n) = 32 - 2n.
Evaluate the following.
15:5+3+4x6
Answer:
15:32
Step-by-step explanation:
15:5+3+4×6
Using BODMAS rule
15:5+3+(4×6)
15:5+3+24
So add up
15:32
Since the two cannot be divided by the same number,we will have to leave the answer as
15:32
Which pair of angles is classified in the same category according to the angle measure?
Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll help you in a general way. Let's mention some categories:
1. Category of congruence:
Angles are congruent if they have the same measure. So if we have two angles:
[tex]\angle A=30^{\circ} \\ \\ \angle B=30^{\circ}[/tex]
Then they are congruent. In other words:
[tex]\angle A \cong \angle B[/tex]
1. Category of complementary angles:
Two angles are complementary if they add up to 90 degrees. So if we have:
[tex]\angle A=30^{\circ} \\ \\ \angle B=60^{\circ}[/tex]
They are complementary because:
[tex]\angle A+ \angle B=30^{\circ}+60^{\circ}=90^{\circ}[/tex]
1. Category of supplementary angles:
Two angles are supplementary if they add up to 180 degrees. So if we have:
[tex]\angle A=110^{\circ} \\ \\ \angle B=70^{\circ}[/tex]
They are supplementary because:
[tex]\angle A+ \angle B=110^{\circ}+70^{\circ}=180^{\circ}[/tex]
Answer:
the answer is A
Step-by-step explanation:
i did the assignment
Find two numbers a+b is -4 and difference a-b is 4 what's your answer
Answer:
a=0, b=-4
Step-by-step explanation:
a+b=-4.....(1)
a-b=4.......(2)
(1)+(2): 2a=0
a=0
0+b=-4
b=-4
(a, b) =(0,-4)
Brianna recorded the high temperatures in her town each day for 8 consecutive days. Her data are shown. 78 , 65, 72 , 80, 68 , 77, 75 , 52 Which is not a true statement about the data ?
Answer:
D)50% of the temperatures are less than 77.5 degrees
Step-by-step explanation:
The correct amount of temperatures that are less than 77.5 degrees is 6/8, or 75%. So D) is false.
Which real-world situation can be represented by the equation y = 12x?
Group of answer choices
Dale buys pencils that come in packs of 12. He gets y total pencils for buying x packs.
Tanisha has 12 pens, and she buys x more. She now has a total of y pens.
Mary buys juice drinks that come in packs of 12. She gets x total juice drinks for buying y packs.
Seth has 12 trading cards, and he buys y more. He now has a total of x trading cards.
Answer:
Dale buys pencils that come in packs of 12. He gets y total pencils for buying x packs.
Step-by-step explanation:
12x in the equation is the 12 pencils in each pack times the number of packs (x). In the equation, y is the total, and the answer says he gets y total pencils.
Hope this helps! ☺
The difference between two numbers is 55. If the smaller number is increased by 15 and the bigger number is decreased by 15. What will be the new difference?
Answer:
25
Step-by-step explanation:
Lets say the numbers are 100 and 45.
If the smaller number is increased by 15
45+15=60
the bigger number is decreased by 15
100-15= 85
What will be the new difference?
85-60= 25
The new difference will be 25.
Given that,
The difference between the two numbers is 55.
If the smaller number is increased by 15 and the bigger number is decreased by 15.
We have to determine,
What will be a new difference?
According to the question,
Let the first number be x,
And the second number be y.
The difference between the two numbers is 55.
x + y = 55
The smaller number is increased by 15,
Then,
The number is,
45 + 15 = 60
And the bigger number is decreased by 15,
Then,
The number is,
100 - 15 = 85
Therefore,
The new difference between the new number is,
85 - 60 = 25
Hence, The new difference will be 25.
For more details refer to the link given below.
https://brainly.com/question/18392493
Stuck on this question.
Please help.
Answer:
I think it is -1.333...
Step-by-step explanation:
I did cross-multiply
15 y
__ = ___
-18 1.6
which is -1y=24
y= -1.333
I may be wrong though...
what basic trig identity would you use to verify that cotxsinx+cosx
Answer:
You use cotx = cosx/sinx.
Step-by-step explanation:
I guess you mean cotx sinx = cosx.
You substitute the identity cotx = cosx / sinx:
cotx sinx = (cosx / sin x) * sin x
The sin x ' s cancel to give cosx.
Final answer:
To verify that cot(x)sin(x) + cos(x) is a basic trigonometric identity, we can use the Pythagorean Identity which states that sin²(x) + cos²(x) = 1. The expression cot(x)sin(x) + cos(x) simplifies to 2cos(x), which confirms that it is a basic trigonometric identity.
Explanation:
To verify that cot(x)sin(x) + cos(x) is a basic trigonometric identity, we can use the Pythagorean Identity which states that sin²(x) + cos²(x) = 1. Let's start by expressing cot(x) in terms of sin(x) and cos(x). Since cot(x) = cos(x)/sin(x), we can substitute this into the equation:
cot(x)sin(x) + cos(x) = cos(x)/sin(x) * sin(x) + cos(x) = cos(x) + cos(x) = 2cos(x).
So, the given expression reduces to 2cos(x), which is indeed a basic trigonometric identity.
can you solve this equation using the quadratic formula with step-by-step process?
2 − 24 = 10x
Can you help me with this plz
Answer:
m<U=95
m<W=85
m<T=119
m<V=61
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary, so add up <U and <W to equal 180.
z=6
To find <V, subtract <T from 180.
A __________________ is a specific number whose value does not change.
1 point
constant
absolute value
variable
algebraic expression
evaluating
Answer:
constant
Step-by-step explanation:
it does not change
Answer:
A constant
Step-by-step explanation:
Constants don't change
A box of a dozen breakfast bars costs $3.72, while a different box of six breakfast bars cost $1.92. Which is the better deal for the consumer and by how much?
Answer:
Better deal : dozen bars for $3.72 (It is a better deal by 12 cents)
Step-by-step explanation:
Since one has half of the amount that the other has, you multiply the price by two, and you end up with (for a dozen) $3.72, (and for 2 boxes of 6) $3.84. So, the singular box of a dozen bars wins.
:) Hope this helps! <3
Answer: the box of dozen is cheaper by 0.12
Step-by-step explanation:
3.72 /12= 0.31
1.92*2= 3.84
3.84/12= 0.32
3.84-3.72=0.12
A triangle has an area of 70 square inches. The height of the triangle is 8 inches. Write and solve an equation to find the length of the base of the raingle
Answer:
70 = 1/2 b *8
17.5 inches =b
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
We know the area and the height
70 = 1/2 b *8
70 = 4b
Divide each side by 4
70/4 = 4b/4
17.5 =b
Y = x - 1
-x + 3/2 = -y
Answer:
It has more than one equal sign but set up like this:
Step-by-step explanation:
Let's solve for x.
y+x−1+
3
2
=−y
Step 1: Add -y to both sides.
x+y+
1
2
+−y=−y+−y
x+
1
2
=−2y
Step 2: Add (-1)/2 to both sides.
x+
1
2
+
−1
2
=−2y+
−1
2
x=−2y+
−1
2
Answer:
x=−2y+ -1/2
Started at 15 degrees and dropped 1/2 degrees each minute
Answer:
based on how many minutes it pass, it the time pass one minute it will be 14.5 degrees.
Use the elimination method to solve the system of equations. Choose the correct ordered pair.
x + y = 9
x – y = 7
# Choice
A. (12, –3)
B. (8, 1)
C. (7, 0)
D. (16, –7)
Step-by-step explanation:
x + y = 9 ......... equation 1
x - y = 7 ............equation 2
Now solving both equations
x + y = 9
x - y = 7
2x = 16
Therefore x = 8
Now putting x = 8 in equation 1
8 + y = 9
Therefore y = 1
Here B (8 , 1) is your answer
Hope it will help you
Answer:
Im answering so the other person can get brainliest! :))
Step-by-step explanation:
Find the height of the parallelogram in which A= 7.5 m^2
Step-by-step explanation:
Given the area of the Parallelogram
[tex]A=\:7.5\:m^2[/tex]
The area of a parallelogram is defined as the multiplication of its base and height.so
A = base × height
Plugging A = 7.5 m² in above equation
7.5 m² = base × height
height = base ÷ 7.5 m²
Therefore, height of the parallelogram with area 7.5 m² is : base ÷ 7.5 m²
determine the slope of (5,6) & (3,9)???
Answer:
3/-2
Step-by-step explanation:
The graph shows the salaries of 23 employees at a small company. Each bar spans a width of $50,000 and the height shows the number of people whose salaries fall into that interval. Which inequality correctly describes the relationship between the mean and the median? A) mean < median < $250,000 B) median < mean < $250,000 C) median < $250,000 < mean D) mean < $250,000 < median
Answer:
b
Step-by-step explanation:
The mean is heavily influenced by the outlier salary of $5,000,000, making it much higher than the stable median of $30,000. The correct inequality reflecting the relationship between the mean and the median salaries in this skewed distribution is median < mean < $250,000. The correct choice is option B) median < mean < $250,000.
Given the information about the salaries, the distribution has a significant skew due to the presence of an outlier. This outlier is the one employee earning $5,000,000, which is vastly different from the rest of the group who earn $30,000. When an outlier is present, the mean will be greatly affected, whereas the median will remain a more stable measure of central tendency.
The median salary in this scenario would be $30,000, as 49 out of 50 salaries are at this amount, and thus the middle value of the ranked list would not be impacted by the outlier. However, the mean would be significantly higher because it includes the $5,000,000 salary in the calculation. Since the question describes an inequality relationship between the mean and median, the correct answer is that the median is less than the mean, but both the median and the mean are less than $250,000, which leads to the correct inequality: B) median < mean < $250,000.
The area of a square can be expressed by the polynomial expression 16x^4 -16x^2 +4. What is the polynomial expression for the length of a side?
Answer:
4x+2
Step-by-step explanation:
[tex]16x^{4}-16x^{2}+4=16x^{2}+4[/tex]
[tex]\sqrt{16x^{2}+4}[/tex]
[tex]\sqrt{16}*(\sqrt{x^{2}})+\sqrt{4}=4(x) +2=4x+2[/tex]
when making a batch of orange juice for her basketball team, Jackie used 5 times as much water as concentrate. There were 32 more cups of water than concentrate. How much juice did she make an all? she poured the juice into quart containers. How many containers could she fill?
Answer:
Jackie can fill 10 containers
Step-by-step explanation:
5x=32+x
4x=32
x=8
so Jackie used 40 cups of water and 8 cups of concentrate to make the orange juice
4 cups equals a quart
so 40/4 = 10
Jackie can fill 10 containers
Find the time required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
Your answer is t=
To find the time required for an investment to grow to a certain amount with compound interest, we can use the formula Final Balance = Principal(1 + interest rate/number of compounding periods)^(number of compounding periods * time). In this case, the investment of $5000 will take approximately 4.08 years to grow to $6000 at an interest rate of 7.5% per year, compounded quarterly.
Explanation:To find the time required for an investment to grow to a certain amount with compound interest, we can use the formula:
Final Balance = Principal(1 + interest rate/number of compounding periods)^(number of compounding periods * time)
In this case, the initial principal is $5000, the final balance is $6000, the interest rate is 7.5% (or 0.075), and the interest is compounded quarterly (so there are 4 compounding periods per year).
Convert the interest rate to a decimal: 0.075Substitute the known values into the formula: 6000 = 5000(1 + 0.075/4)^(4*time)Divide both sides by 5000: 1.2 = (1 + 0.075/4)^(4*time)Take the natural logarithm of both sides: ln(1.2) = ln((1 + 0.075/4)^(4*time))Divide both sides by ln((1 + 0.075/4)^(4*time)): time = ln(1.2)/ln((1 + 0.075/4)^(4*time))Using a calculator, we can solve for time to find that the investment will take approximately 4.08 years to grow from $5000 to $6000.
What is the measure of Angle A? (picture included)
Answer:
19.4
Step-by-step explanation:
10x-14=180
Answer:
19.4
Step-by-step explanation:
we know a + b + c = 180 so:
x + 5x + 4x -14 = 180
10x = 180 + 14
10x = 194
x = 19.4 degrees
Haley’s work evaluating (Negative 2) Superscript 8 is shown below.
(Negative 2) Superscript 8 = (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) = negative 256
Which statement best describe Haley’s first error?
Answer:
D
Step-by-step explanation:
The statements are shown below:
A) She used the wrong number as a repeated factor and should have evaluated -2x2x2x2x2x2x2x2.
B) She used the wrong number as a repeated factor and should have evaluated -(8x8).
C) She misinterpreted the exponential form and should have multiplied -2 and 8.
D) She made a sign error when multiplying and should have had 256 as a final answer.
Solution:
The problem to simplify is:
[tex](-2)^{8}[/tex]
Haley's steps are shown below:
[tex](-2)^{8}=(-2)(-2)(-2)(-2)(-2)(-2)(-2)(-2)=-256[/tex]
Generally,
[tex](a)^b[/tex] is actually "a" multiplied "b" times.
So, Haley wrote "-2" eight times multiplied together. That is okay.
Now,
We are dealing with negative numbers.
When negative numbers are multiplied "odd" number of times, the answer is negative.When negative numbers are multiplied "even" number of times, the answer is positive.Haley wrote "-2" eight times, which is EVEN number of times, so the answer would be POSITIVE. But, Haley's answer is negative. Which is wrong. But "256" is right.
Haley's error is:
Answer choice D
Answer:
the answer is D
Step-by-step explanation:
What is the next arithmetic sequence 1 3 5 7 9
Answer:
11
Step-by-step explanation:
You are adding 2 every time:
1+2=3
3+2=5
5+2=7
7+2=9
9+2=11
The next term in the sequence is 11.
Therefore the complete the series is : 1, 3, 5, 7, 9, 11 .
Arithmetic sequence : Sequence in which the difference between two consecutive terms is same .
Given, Arithmetic sequence : 1, 3, 5, 7, 9 .
So, after analyzing the sequence the common difference between two consecutive terms is 2.
Thus in the sequence add 2 to the first term , then the next term is obtained. Like,
1 + 2 = 3
3 + 2 = 5
5 + 2 = 7
7 + 2 = 9
Therefore the next term will be,
9 + 2 = 11
Know more about arithmetic sequence,
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Simple 3c-9d+7c+5d
Please help me