Answer:
9m/12m = 3/4
Step-by-step explanation:
The fraction obtained after the simplification will be 3/4.
What exactly is simplification?Simplifying is making something easier to do or comprehend, as well as making something less difficult.
[tex]=\rm \frac{9m}{12m} \\\\ = \frac{3}{4}[/tex]
The fraction obtained after the simplification will be 3/4.
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Isabella is solving the equation 4x^2=13x-3 with the quadratic formula
Answer:
x=(3,1/4)
Step-by-step explanation:
Be sure to use the formula...
[tex]-b + or - sqrt{b^{2} - 4ac } / 2a[/tex]
- First, move all variables to one side (left) of the equation. You want one side to be equivalent to zero.
-Next, you need to find a, b, and c. This should be...
a=4
b=-13
c=3
- Knowing this, fill in these variable to go along with the formula. I cannot do this for you, as you should try it on your own. But, you should end up with the solution x= (3,1/4).
- Hope this helps! If you need a further explanation or help on any more problems please let me know, as I would be glad to help anytime.
A car traveled 1800 mi at a certain speed. If the speed had been 12 mph faster, the trip could have been made in 5 hr less time. Find the speed.
The speed is ______
mph.
Answer:
i need more details of the question
Step-by-step explanation:
Answer:
Let speed be S
Then hypothetical speed = S + 12
Solve for S to get a speed of 60 mph
Step-by-step explanation:
PLEASE HELP I NEED IT!!!
Month Sales
June $15,872.56
July $15,692.98
August $18,991.21
September $18,099.99
October $16,225.74
Using the Data from the table, list the monthly sales in ascending order by month.
Question 2 options:
July, June, September, October, August
August, July, June, September, October
August, October, September, June, July
July, June, October, September, August
Answer:
This is pretty easy:July, June, October, September, August.
Step-by-step explanation:
All you have to do is look at the least to greatest numbers:)!
SimpleMathmatics.org -SmartieSchool
Look at the inequality 5x+1 >_35
Answer:
x>_6.8
Step-by-step explanation:
.
2x+5=3x-2
pleaaseee help
Step-by-step explanation:
2x + 5 = 3x - 2
3x - 2x = 5 + 2
x = 7
Therefore x = 7
Answer:
X=7
Step-by-step explanation:
2X+ 5=3x-2
5=x-2
7=x
If the scale of a flag from the image to the actual were 1 inch = 63.75 ft, what would the actual width of a large American flag measure if on the image the flag is 4 inches wide?
Answer:
21.25 feet or 255 inches.
Step-by-step explanation:
The first step in this problem is to covert each measurement to the same system of measurement (feet, inches, meters, etc.).
Let's convert 4 inches to feet.
As there are 12 inches in a foot, and 4/12 = 1/3, 4 inches = 1/3 foot.
Now, multiply 1/3 foot by 63 3/4 (the amount of feet in mixed number form).
63 3/4 * 1/3 = 21 1/4, or 21.25.
Therefore, the final answer is 21.25 feet.
If you want the answer in inches, all you have to do is multiply 21.25 by 12, as there are 12 inches in a foot.
21.25*12 = 255.
So, the alternative answer is 255 inches.
At a basketball game, a vender sold a combined total of 208 sodas and hot dogs. The number of sodas sold was three times the number of hot
dogs sold. Find the number of sodas and the number of hot dogs sold.
Number of sodas sold:
Number of hot dogs sold:
Answer:
Soda- 156
Hot Dogs- 52
Step-by-step explanation:
Final answer:
The vendor sold 156 sodas and 52 hot dogs at the basketball game. This was determined by setting up a system of equations using the total number of items sold and the ratio of sodas to hot dogs, then solving for each.
Explanation:
To find the number of sodas and hot dogs sold at the basketball game, we can set up a system of equations based on the information provided:
Let S represent the number of sodas sold.
Let H represent the number of hot dogs sold.
The problem states two key pieces of information:
The total number of sodas and hot dogs sold is 208: S + H = 208.
The number of sodas sold was three times the number of hot dogs sold: S = 3H.
We can substitute the second equation into the first to solve for H:
3H + H = 208
4H = 208
H = 208 / 4
H = 52
Now that we have the number of hot dogs sold (52), we can find the number of sodas sold:
S = 3H
S = 3 \\( 52 \)
S = 156
The vendor sold 156 sodas and 52 hot dogs.
On a 40 question test students gain 6 points for each correct answer and lose 0.5 points on each incorrect answer. If everyone required to give an answer to each question, what is the formulas that describes how a student's raw score, r, depends on the number of correct answers he or she provided, c?
Answer:
r=6.5c-20
Step-by-step explanation:
The raw score is given by
r=c*6-0.5(40-c)
Taking the number of correct answers as c
The incorrect answers will be 40-c
Since each incorrect answer deducts 0.5 points. Then the deducted points will be 0.5(40-c)=20-0.5c
Since correct answers, c gives 6 points each then the number of points will be 6c
Now, the raw score will be
r=6c-(20-0.5c)
Opening the brackets, the signs change hence
r=6c-20+0.5c
r=6.5c-20
The formula that describes the student's raw score based on the number of correct answers is; r = 6.5c - 20
How to solve algebra word problems?
We are told that they gain 6 points for each correct answer and lose 0.5 points for each incorrect answer. Thus, the formula for the raw score is;
The raw score is given by
r = 6c - 0.5(40 - c)
where;
c is the number of correct answers
40 - c as number of incorrect answers
We are told that each incorrect answer deducts 0.5 points.
Thus, the deducted points = 0.5(40 - c) = 20 - 0.5c
We are told that each correct answers, c gives 6 points each. Thus, the raw score will be;
r = 6c - (20 - 0.5c)
⇒ r = 6c - 20 + 0.5c
r = 6.5c - 20
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Does this graph have a maximum
or minimum value?
Answer:
can you provide a picture or an equation?
Step-by-step explanation:
Answer:
If the vertex is at the top of the graph it is a maximum and if it is at the bottom it is a minimum
Step-by-step explanation:
Vectors a = (3, 4) and b = (m, 2) are given. For which value of m they are perpendicular?
Answer:
The value of m is [tex]-\frac83[/tex].
Step-by-step explanation:
If two vectors [tex]\vec A[/tex] and [tex]\vec B[/tex] are perpendicular to each other then their dot product will be zero i.e [tex]\vec A.\vec B=0[/tex]
If two vectors [tex]\vec A[/tex] and [tex]\vec B[/tex] are parallel to each other then their cross product will be zero i.e [tex]\vec A\times\vec B=\vec 0[/tex]
Given vectors are a= (3,4) and b=(m,2)
The position vector of [tex]\vec a[/tex] is =[tex]3 \hat i+4\hat j[/tex]
The position vector of [tex]\vec b[/tex] is =[tex]m \hat i+2\hat j[/tex]
Since [tex]\vec a[/tex] and [tex]\vec b[/tex] are perpendicular.
Then,
[tex]\vec a. \vec b=0[/tex]
[tex]\Rightarrow (3\hat i+4\hat j).(m\hat i+2 \hat j)=0[/tex]
⇒3.m +4.2=0
⇒3m+8=0
⇒3m= -8
[tex]\Rightarrow m=-\frac 83[/tex]
The value of m is [tex]-\frac83[/tex].
Determine whether each statement is sometimes, always, or never true.
If the volumes of two triangular prisms are the same, the prisms are congruent.
Answer:
Sometimes
Step-by-step explanation:
If the volumes of two triangular prisms are the same, that means that:
[tex]\frac{1}{3} B_1h_1=\frac{1}{3} B_2h_2[/tex] , where B_1 and h_1 belong to one prism and B_2 and h_2 belong to the second.
It is possible that if the volumes are the same, the prisms are congruent. That means that B_1 = B_2 and h_1 = h_2. However, this isn't always the case. Here's a counterexample:
PRISM 1: B = 4, h = 3 ⇒ V = (1/3) * 4 * 3 = 4
PRISM 2: B = 2, h = 6 ⇒ V = (1/3) * 2 * 6 = 4
Their volumes are the same, but their dimensions certainly aren't. So this statement is true only sometimes.
Hope this helps!
Answer:
Sometimes true
Step-by-step explanation:
Volume = ⅓(base area × height)
The product 'base area × height' can be equal if the base and height are congruent, but there are other possibilities too
Example:
Base area of the second one is double but the height is half.
Which correctly describes the two transformations that where used to create the image on the graph?
Answer:
A. Reflection over the y-axis and rotation 90° counterclockwise
Answer:
The answer is A (:
Step-by-step explanation:
a and b are positive integers and a−b=2. Evaluate the following: 4^0.5a/ 2^b
Answer: [tex]\frac{4^{0.5 a}}{2^{b}}=4[/tex]
Step-by-step explanation:
We are told [tex]a-b=2[/tex] being [tex]a[/tex] and [tex]b[/tex] positive integers, hence:
[tex]a=2+b[/tex] (1)
Now we have the following expression:
[tex]\frac{4^{0.5 a}}{2^{b}}[/tex] (2)
Which can be also written as:
[tex]\frac{2^{2(0.5 a)}}{2^{b}}[/tex] (3)
Since [tex]4=2^{2}[/tex]
Then, substituting (1) in (3):
[tex]\frac{2^{2(0.5(2+b))}}{2^{b}}[/tex] (4)
Since we have exponents with the same base, we can do the following:
[tex]\frac{2^{2+b}}{2^{b}}=2^{2+b} 2^{-b}[/tex] (5)
Finally:
[tex]2^{2+b} 2^{-b}=2^{2+b-b}=2^{2}=4[/tex] (6)
Hence:
[tex]\frac{4^{0.5 a}}{2^{b}}=4[/tex]
Answer:
4
Step-by-step explanation:
When humans urbanize an area, what other impact will they end up having as well?
Answer: When humans urbanize an area they
Step-by-step explanation: I think this because before people urbanized the place it was probably like a rural place or suburban. When you urbanize a place you might be taking a person or an animals homeland away and that can be a bad impact on them.
Whats the answer????
Answer:
363
Step-by-step explanation:
The formula is distance time n-1 plus term one.
-92, -85
Every time it adds 7.
7*65+-92=363
What is the median of Restaurant A's service ratings?
1
2
3
4
5
Answer:
3
Step-by-step explanation:
write them out least to greatest- 1 2 3 4 5
then mark out one at a time from front and back- 1 2 3 4 5
then you get one number and that number is 3
Answer:
3
Step-by-step explanation:
Process for finding median:
1. Line the numbers in order from least to greatest.
2. Find the middle number --> it is the median.
3. If there are two middle numbers, find their average. In other words, add the two numbers together and divide your answer by 2.
Hope this helps!
Find a . b if a = (4.3) and b = (4,5).
a. 31
b. (8,8)
c. (16,15)
d. -1
Answer:
answer is c.(16 , 15)
Step-by-step explanation:
Answer:
a. 31
Step-by-step explanation:
It's 31 on edge :)
Solve the inequality 3(4-6)+ 2≥2(-t+3)+4
Answer:
I need the work please
Step-by-step explanation:
The following are lengths of snakes: 12 1/2, 16 1/2, 17, 24, 16, 16, 13, 12 1/2, 18 1/2, 17 1/2, 17, 16. Which is the greatest snake length? What is the least snake length?
Answer:
18 1/2 is the greatest snake length. 12 1/2 is the least.
Step-by-step explanation:
Please help need answers asap!!
Answer:
1. 2
Step-by-step explanation:
1. cross multiply then simplify
Answer to problem 1:
x=2
Reasoning:
1) Simplify 10/20 to 1/2
2) Multiply the numerator and denominator by 2 to get 2/4
Answer to problem 4:
1 in: 18 in
Reasoning:
1) Convert 15 feet to inches
15*12=180
2) Use a ratio of 10 inches to 180 in and simplify it to 1:18
Answer to problem 5:
m = 38.44
1) Use the technique "Cross multiplication" and make the following equation
8.45*7.5=3.6m
2) 8.45*7.5=138.375
3) 138.375=3.6m and divide 3.6 from both sides of the equation,
4) You get 38.4375, and round up to the nearest hundredth of 38.44
Answer to problem 6:
92°
When 2 triangles are similar, their lengths are needed to multiplied by a scale factor but, the angles remain the same.
Sorry, I didn't have enough time to answer the other question...
Hope this helped...
What is the decay factor of the exponential function represented by the table? One-third Two-thirds 2 6
The decay factor of the exponential function represented by the table is \[tex]( \frac{1}{3} \).[/tex]
Explanation:The decay factor of an exponential function in the form[tex]\( y = ab^x \)[/tex]is represented by the base, denoted as 'b.' In this scenario, we're given data in a table format. When observing the relationship between the input and output values, notice that as the input increases by 1 unit, the output decreases by a factor of [tex]\( \frac{1}{3} \) ([/tex]e.g., going from 2 to 6, a change in input by 1 unit results in the output decreasing from 6 to 2, a factor of \( \frac{1}{3} \) of the previous output).
The pattern here illustrates a consistent reduction by a factor of [tex]\( \frac{1}{3} \)[/tex]as the input increases. This characteristic aligns with the decay factor in an exponential function, indicating that the base 'b' in the function[tex]\( y = ab^x \) is \( \frac{1}{3} \).[/tex]This base value of[tex]\( \frac{1}{3} \)[/tex] signifies that the function is an exponential decay, where the output diminishes rapidly as the input increases.
Understanding the relationship between the input and output values is crucial in determining the behavior of an exponential function. In this case, recognizing the consistent factor by which the output decreases as the input increases helps identify the decay factor as [tex]\( \frac{1}{3} \),[/tex]indicating the rate of decrease in the exponential decay function.
The consistent reduction by a factor of[tex]\( \frac{1}{3} \)[/tex] establishes the decay pattern in the given exponential function, leading to the conclusion that the decay factor of the function is [tex]\( \frac{1}{3} \).[/tex]
The decay factor of the exponential function is 1/3
How to determine the decay factor of the exponential function
From the question, we have the following parameters that can be used in our computation:
The table of values
Where, we have
f(0) = 6
f(1) = 2
The decay factor (k) of the exponential function is calculated as
k = f(1)/f(0)
Substitute the known values into the equation
k = 2/6
Evaluate
k = 1/3
Hence, the decay factor of the exponential function is 1/3
standard form of this equation
(9 – 6i) × m = 9 – 6i
What is m?
0
1
9 + 6i
-9 + 6i
To solve for m in the equation (9 – 6i) × m = 9 – 6i, both sides are divided by (9 – 6i), yielding m = 1.
Explanation:The equation given is (9 – 6i) × m = 9 – 6i. To find the value of m, we can divide both sides of the equation by (9 – 6i). Doing so, we get:
m = (9 – 6i) / (9 – 6i) = 1.
Therefore, the value of m is 1.
What is the BEST deal? 1. 60 feet of rope for $8.00 or 200 feet of rope for $30.00 2. 75 pencils for $5.75 or 100 pencils for $7.50 3. 100 thumb tacks for $3.00 or 500 thumb tacks for $16.00 4. 25,000 ball bearings for $275.00 or 60,000 ball bearings for $680.00 5. 60 apples for $43.00 or 90 apples for $63.00
To determine the best deal, divide the total cost by the total quantity for each option to find the cost per unit. Option 4, 25000 ball bearings for $275.00, offers the best deal with the lowest cost per unit.
Explanation:The best deal can be determined by comparing the cost per unit of each item. To do this, divide the total cost by the total quantity for each option.
For option 1, the cost per foot of rope is $8.00/60 ft = $0.133/ftFor option 2, the cost per pencil is $5.75/75 pencils = $0.077/pencilFor option 3, the cost per thumb tack is $3.00/100 thumb tacks = $0.03/thumb tackFor option 4, the cost per ball bearing is $275.00/25000 ball bearings = $0.011/ball bearingFor option 5, the cost per apple is $43.00/60 apples = $0.717/appleBased on these calculations, option 4, 25000 ball bearings for $275.00 offers the best deal with the lowest cost per unit.
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What is a system of equations?
Answer and Step-by-step explanation:
A system of equations is a group of equations that need to be manipulated in some way that will figure out the values of the variables.
The most common system of equations seen is a system of linear equations, which means that the degree of the variables is no more than 1. These can be solved using elimination, substitution, or even graphing, if applicable.
Hope this helps!
Answer:
A system of equations is 2 or more equations that need to be solved. When you solve a system of equations, the answer is where the equations intersect on a graph. Sometimes there is 2 solutions (equations intersect twice), 1 solution (equations intersect once), no solution (equations don't intersect), or infinite solutions ( equations are the same).
They are usually solved using substitution, elimination, or simply looking at a graph to see where the lines intersect.
Some examples:
2x+3y=15
x-3y=3
y=x^2+1
2x-y= -4
Will give brainlyest
Two lines, A and B, are represented by the equations given below:
Line A: x + y = 6
Line B: x + y = 4
Which statement is true about the solution to the set of equations?
There are infinitely many solutions.
There is no solution.
It is (6, 4).
It is (4, 6).
Answer:
There are no solutions.
Step-by-step explanation:
If x + y equals 6, x + y cannot equal 4 (and vice versa) no matter what values are plugged in. Therefore, there are no solutions.
I have 100 pennies in a box. 20 of the pennies were minted in the 1990s, 20 were minted in the 1980s, 40 were minted before the 1980s and the rest were minted in this century.
What is the probability of choosing a penny that was minted in this century?
Answer:
20 pennies
Step-by-step explanation:
20+20+40=80
100-80=20%
Answer:
40%
Step-by-step explanation:
The quotient of −273−21 is
Answer:
-294
Step-by-step explanation:
-273 ÷ -21 = 13
hope this helps
In ΔKLM, the measure of ∠M=90°, the measure of ∠K=10°, and LM = 86 feet. Find the length of KL to the nearest tenth of a foot.
Answer:
495.3 feet
Step-by-step explanation:
delta math i got the problem wrong and it gave me the right answer
Final answer:
To find the length of KL in ΔKLM with a 90° angle at M and a 10° angle at K, we use the sine function with the given hypotenuse length of 86 feet. Calculating sin(10°) times 86 gives approximately 14.9296 feet, which rounds to 14.9 feet.
Explanation:
To find the length of KL to the nearest tenth of a foot in ΔKLM, where ∠M equals 90°, ∠K equals 10°, and LM is 86 feet, we can use trigonometry.
Since LM is the hypotenuse and we want to find KL, which is the side opposite ∠K, we will use the sine function:
sin(∠K) = opposite/hypotenusesin(10°) = KL/86 feetKL = 86 feet × sin(10°)Calculating this we get:
KL = 86 feet × 0.1736 (approximate value of sin(10°))KL ≈ 14.9296 feetKL ≈ 14.9 feet (rounded to the nearest tenth)This provides us with the length of KL in the triangle.
8x-3=3x+17
Solve for x
Answer:
x = 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
To solve, we need to isolate the variable, x by getting all the numbers to one sides and the variables to the other
8x-3=3x+17
Subtract 3x from both sides
8x-3x-3=3x-3x+17
5x-3=17
Add 3 to both sides
5x-3+3=17+3
5x=20
Divide both sides by 5
5x/5=20/5
x=4