Answer:
[tex]\frac{x}{(x-1)(x+4)}[/tex]
Step-by-step explanation:
from what i can read and understand the equation is:
[tex]\frac{x^{2-1} }{x^{2+5x+4} }[/tex]
If I'm correct then [tex]\frac{x}{(x-1)(x+4)}[/tex] Would be your answer
And all you have to do is simplify the Expression
Hopefully this Helps
**A rock dropped from a 100 foot tower.
The height of the rock as a function of time
can be modeled by the equation: h(t) =
- 16t2 + 10t + 100. How long does it take
for the rock to reach the ground?
Final answer:
The rock takes approximately 2.032 seconds to reach the ground.
Explanation:
The height of the rock can be modeled by the equation h(t) = -16t² + 10t + 100, where h(t) is the height of the rock and t is the time in seconds. To find the time it takes for the rock to reach the ground, we need to solve the equation when h(t) is equal to zero. We can do this by setting the equation equal to zero and using the quadratic formula.
Using the quadratic formula, we get: [tex]t = (-b \± \sqrt(b^2 - 4ac))/(2a)[/tex]
Plugging in the values of a, b, and c from the equation, we get: [tex]t = (-10 \± \sqrt{10^2 - 4(-16)(100)/2(-16)[/tex]
Simplifying, we get: [tex]t = (-10 \± \sqrt{100 + 6400/(-32)[/tex]
Continuing to simplify, we get: [tex]t = (-10 \± \sqrt{6500/(-32)}[/tex]
So, it takes approximately 2.032 seconds for the rock to reach the ground.
If i have 6 bottles of water and each weigh 3/5 pounds how much do i have
You have 3 and 3/5 pounds of water.
To find this, simply multiply 3/5 by 6/1 (multiplying straight across). 6 times 3 is 18 and 5 times 1 is 5. Thus meaning you have 18/5 pounds, which simplified is 3 and 3/5 pounds.
I hope this helps!
Answer:
if you multiply 3/5 ×6 that would be 3.6 or in mix number that would be 3⅗
what is 2b = 20, what does the b equal
Answer:
b = 10
Step-by-step explanation:
Divide 20 by 2 to get b by itself:
20/2 = b
10 = b
MARK AS BRAINLIEST!
Answer:
B=10
Step-by-step explanation:
2(b)=20
2(10)=20
Or
2b÷2=20÷2
B=10
Divide 5x2 − 7x − 6 by x − 2.
5x − 5
5x + 3
x − 5
x + 3
Answer:
5x+3
Step-by-step explanation:
What is the quotient in simplest form? 8/3 divided by 2/3
Answer:
[tex] \frac{8}{3} \div \frac{2}{3} \\ \frac{8}{3} \times \frac{3}{2} = \frac{4}{1} \\ = 4[/tex]
Answer is 4
Answer: 4
Step-by-step explanation:
8/3 ÷ 2/3 = 4
In Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction.
The first step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/3 is 3/2.
8/3 × 3/2
Next, multiply the two numerators. Then, multiply the two denominators. In this step, we first cancel by a common factor of 3, which then gives 8/2, then cancel by another common factor of 2, which gives 4.
Thus 8/3 x 3/2 = 4
I hope this helps.
Philip ran 4 3/8 miles yesterday. Michael ran 1 5/8 miles yesterday.
How much farther did Philip run than Michael. fractions .with common denominators.
Philip ran 3 1/4 miles farther than Michael. We obtained this by subtracting the fraction and whole number of Michael's distance from Philip's and simplified the resultant fraction.
Explanation:To find out how much farther Philip ran than Michael, you need to subtract the distance run by Michael from Philip's distance. Since we are dealing with fractions with common denominators, this makes the subtraction process easier.
Philip's distance = 4 3/8 miles
Michael's distance = 1 5/8 miles
Subtract Michael's distance from Philip's distance: 4 3/8 - 1 5/8
Since the denominators are the same, you can simply subtract the numerators: 8 (the common denominator) stays the denominator, and subtract 3 from 5 which gives: 2/8
We subtract the whole numbers: 4 - 1 = 3. Therefore, the final difference is 3 2/8 miles. However, you can simplify 2/8 fraction to 1/4. So, the final and simplest difference is 3 1/4 miles.
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To find out how much farther Philip ran than Michael, we need to subtract the fractions representing their respective distances. After converting these to improper fractions, we subtract the numerators, giving us a result of 2 6/8 miles, which is the distance by which Philip ran farther than Michael.
Explanation:The problem involves subtracting fractions to find the difference between the distances that Philip and Michael ran. First, convert the mixed fractions into improper fractions. Philip ran 4 3/8 miles which equals 35/8 miles and Michael ran 1 5/8 miles which equals 13/8 miles. Subtracting fractions with like denominators is straightforward, so subtract the numerators: 35 - 13 equals 22. Therefore, Philip ran 22/8 or 2 6/8 miles more than Michael.
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Luis made a $150 bank deposit using $5 bills and $10 bills. He gave the teller a total of 24 bills. How many $10 bills were in the deposit?
Answer:
100 10's
Step-by-step explanation:
Answer: 6 10$ bills
Step-by-step explanation:
18 (5$) times 6 (10$) = $150
18 + 6 = 24 bills in total ^
I need help!!! please help me out as quick as possible
Answer:
D) 262,144
Step-by-step explanation:
The given sequence is given explicitly as:
[tex]A_n = {4}^{n - 1} [/tex]
We want to find the tenth term of this sequence.
We substitute n=10 to get:
[tex]A_ {10}= {4}^{10 - 1} [/tex]
Simplify the exponent
[tex]A_ {10}= {4}^{9} [/tex]
Simplify the power
[tex]A_ {10}= 262144[/tex]
Therefore the 10th term is 262,144
What is square root of 42 to the nearest tenth
Answer: 6.48 or 6.5 rounded up!
Step-by-step explanation: hope i can help please give brainliest!
just try my answer its
6.48 or 6.5 rounded up!
solve for x. x + 1/2 = 3/4
X=_______________________
Answer:
[tex]x=\frac{1}{4}[/tex]
Step-by-step explanation:
In order to get the answer to this question you will have to subtract 1/2 on both sides:
[tex]x+\frac{1}{2} =\frac{3}{4}[/tex]
Subtract 1/2 on both sides:
[tex]-\frac{1}{2} -\frac{1}{2}[/tex]
Subtract 1/2 from 3/4:
[tex]\frac{3}{4} -\frac{1}{2}[/tex]
Find the common denominator:
[tex]CD=4[/tex]
[tex]2\times2=4[/tex]
[tex]1\times2=2[/tex]
[tex]=\frac{2}{4}[/tex]
Do the same with the second fraction:
[tex]4\times1=4[/tex]
[tex]3\times1=3[/tex]
[tex]=\frac{3}{4}[/tex]
Subtract the numerators:
[tex]3-2=1[/tex]
Keep the denominator the same:
[tex]=\frac{1}{4}[/tex]
[tex]x=\frac{1}{4}[/tex]
Hope this helps.
whats 12-7-8-9+66=??????
Hey there!
12 - 7 - 8 - 9 + 66 = ?
12 - 7 = 5
5 - 7 - 8 - 9 + 66
5 - 8 = -3
-3 - 9 + 66
-3 - 9 = -12
-12 + 66 = 54
Answer: 54
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
please help me on this
Answer:
mean= 15.16
2/53
Step-by-step explanation:
addition of all the figures plus the next student divided by 6
solve for k
10/3= k/9
Answer:
k = 30
Step-by-step explanation:
[tex]\frac{10}{3}=\frac{k}{9}\\\\\frac{k}{9}=\frac{10}{3}\\\\k=\frac{10}{3}*9\\\\k=10*3=30[/tex]
Answer:
k = 30
Step-by-step explanation:
[tex]\frac{10}{3}[/tex] = [tex]\frac{k}{9}[/tex]
We can easily solve this by cross multiplying. Multiply 10 by 9, and multiply the variable (k) by 3.
10 x 9 = 90
3 x k = 3k
These two (90 and 3k) are equal to one another and thus can both be set up into an equation.
3k = 90
Solve for k.
3k/3 = 90/3
k = 30
What is the stretch or shrink of the graph g(x) = 2 |x + 3| − 5
It's a stretch by coefficient of two.
Hope this helps.
The probability of NOT drawing a red marble out of a bag containing 3 blue, 2 green , 8 yellow , 4 red , and 3 orange marbles.
Answer:
[tex] \frac{4}{5} [/tex]
Step-by-step explanation:
Total number of marbles
= 3+2+8+4+3
= 20 marbles
P(not red)
=
[tex] \frac{3 + 2 + 8 + 3}{20} \\ = \frac{16}{20} \\ = \frac{4}{5} [/tex]
or P(not red)
=
[tex]1 - \frac{4}{20} \\ = 1 - \frac{1}{5} \\ = \frac{4}{5} [/tex]
The weight of a package is at least 1.5 pounds. Write an inequality to represent this situation. (Show work please)
Answer:
W ≥ 1.5lb
W = weight of package
Step-by-step explanation:
The key words at least show more than or equal to.
Kiran and 3 of his friends are going to split the lunch bill of $24.48 how much will each person pay
To split a $24.48 lunch bill between Kiran and 3 friends ,,divide the total by 4, resulting in each person paying $6.12.
Kiran and 3 of his friends want to split the lunch bill of $24.48 evenly. Since there are 4 people in total, we simply divide the total bill by 4 to find out how much each person will pay. Here's the step-by-step calculation:
Find the total number of people: 1 (Kiran) + 3 friends = 4 people.Divide the total bill by the number of people: $24.48 ÷ 4.Perform the division to find the amount per person: $24.48 ÷ 4 = $6.12.Therefore, each person will pay $6.12 to split the lunch bill of $24.48 equally.
Serenity Spa charges $59 for a one hour massage. They charge $0.95 per minute for each additional minute over an hour. If
x represents the number of minutes over one hour, which of the following functions represents the cost of a massage?
Answer:
D. y = 0.8x + 79
Choices:
A.
y = 79x + 0.8
B.
y = -0.8x + 79
C.
y = 79.8x
D.
y = 0.8x + 79
The following functions represent the cost of a massage as: Cost = 59 + 0.95x
What is the Linear function?A linear function is defined as an equation in which the highest exponent of the variable is always one.
A one-hour massage at Serenity Spa costs $59 USD. They charge $0.95 per minute for every minute over an hour.
The cost of a massage can be represented by the function:
Cost = 59 + 0.95x
This function states that the cost of the massage is equal to the base cost of $59 plus an additional charge of $0.95 for each minute over an hour (represented by the variable x).
For example, if the massage lasts for 70 minutes (10 minutes over an hour), the cost would be calculated as:
Cost = 59 + 0.95(10) = 59 + 9.5 = $68.50
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Angles 1 and 3 are directly across from each other.
They are called vertical angles. They share only a
vertex. They always measure the same. Therefore,
if angle 1 measures 27 degrees, angle 3 will
measure
degrees.
The measure of angle 3 is 27 degrees.
Step-by-step explanation:
The angles 1 and 3 are vertical angles and share same vertex.Therefore, the measure of the angle 1 and angle 3 are equal.Given,
angle 1 = 27°
Since angle 3 is same as angle 1, the measure of angle 3 is also 27 degrees
angle 3 = 27°.
A sequence is defined by the recursive function f(n + 1) =1/3 f(n). If f(3) = 9 , what is f(1) ?
1
3
27
81
Solution:
Given that,
A sequence is defined by the recursive function:
[tex]f(n+1) = \frac{1}{3} \times f(n)[/tex] ------ eqn 1
Given that,
[tex]f(3) = 9[/tex]
Substitute n = 2 in eqn 1
[tex]f(2 + 1) = \frac{1}{3} \times f(2)\\\\f(3) = \frac{1}{3} \times f(2)\\\\Substitute\ f(3) = 9\\\\9 = \frac{1}{3} \times f(2)\\\\f(2) = 27[/tex]
Substitute n = 1 in eqn 1
[tex]f(1 + 1) = \frac{1}{3} \times f(1)\\\\f(2) = \frac{1}{3} \times f(1)\\\\Substitute\ f(2) = 27\\\\27 = \frac{1}{3} \times f(1)\\\\f(1) = 27 \times 3\\\\f(1) = 81[/tex]
Thus f(1) is 81
Answer:
D 81
Step-by-step explanation:
One yard crew works four times faster than the other yard crew. If they work together they can finish a job in 60 minutes. How fast each yard crew works?
Time taken by both crew is 48 min and 12 min , when they work together !
Step-by-step explanation:
Here we have , One yard crew works four times faster than the other yard crew. If they work together they can finish a job in 60 minutes. We need to find How fast each yard crew works . Let's find out:
One yard crew works four times faster than the other yard crew
Let speed of one crew be x , So speed of other crew is four times i.e.
⇒ [tex]4x[/tex]
If they work together they can finish a job in 60 minutes.
According to above statement , both can finish work in 60 min i.e.
⇒ [tex]4x+x=60[/tex]
⇒ [tex]5x=60[/tex]
⇒ [tex]x=12[/tex]
So , time taken by other crew is 4x = 4(12) = 48 min . Therefore , Time taken by both crew is 48 min and 12 min , when they work together !
The second yard crew works for 48 minutes.
The first yard crew works for 12 minutes which is four times faster that the second crew.
Step-by-step explanation:
Let us assume,
The second yard crew completes the work in 'x' minutes.
It is given that,
The first yard crew works four times faster than the other yard crew. Therefore, first yard crew will complete the work in 'x/4' minutes.If they work together they can finish a job in 60 minutes.
⇒ x + x/4 = 60 minutes.
⇒ 5x / 4 = 60
⇒ x = 240/5
⇒ x = 48 minutes.
Therefore, the second yard crew works for 48 minutes.
To find the first yard crew :
We already know that, they are 4 times faster that the second yard crew.
Substitute x = 48 in x/4,
⇒ 48 ÷ by 4
⇒ 12 minutes.
Therefore, the first yard crew works for 12 minutes which is four times faster that the second crew.
-5y=-5
7x+6y=7
Is (5,1) a solution to the system?
no for the last problem but yes for the first if u plug in everything
Step-by-step explanation:
I plugged everything in and go the same answer on both sides for the first in but the last one i didn't, so that's a question you should ask your teacher if there is one near you
Solve x+8y/4=9y for x
Answer:
x = 7y
Step-by-step explanation:
x+8y/4=9y
Multiply each side by 4 to get rid of the fractions
4(x+8y/4)=9y*4
Distribute
4x +8y = 36y
Subtract 8y from each side
4x +8y-8y = 36y-8y
4x = 28y
Divide each side by 4
4x/4 = 28y/4
x = 7y
x+8y/4=9y
Multiply each side by 4
4(x+8y/4)=9y*4
=>4x +8y = 36y
Subtract 8y from each side
=>4x +8y-8y = 36y-8y
=4x = 28y
Divide each side by 4
=>4x/4 = 28y/4
x = 7y
The length of a rectangle is 4 more than 3 times the width. If the perimeter of the rectangle is 18.4 cm, what is the area of the rectangle?
Area of the rectangle is 10.27 cm²
Step-by-step explanation:
Step 1: Let the width of the rectangle be x, then length = 4 + 3x. Find the dimensions if perimeter = 18.4 cmPerimeter = 2(length + width)
⇒ 18.4 = 2 (x + 4 + 3x)
⇒ 18.4 = 2(4x + 4)
⇒ 18.4 = 8x + 8
⇒ 8x = 10.4
⇒ x = 10.4/8 = 1.3
∴ 4 + 3x = 4 + 3×1.3 = 7.9
Step 2: Find area of the rectangle.Length = 7.9 cm and width = 1.3 cm
⇒ Area = length × width
= 7.9 × 1.3 = 10.27 cm²
What is the length of the arc with a measure of 100 degrees in a circle of radius 15 inches
Answer:
30
Step-by-step explanation:
how to write 137% as a fraction and decimal
Answer: 1.37 and 137/100
Step-by-step explanation:
hope this help make me brainliest plest thanks
Final answer:
137% can be written as the fraction 137/100, which is already simplified. To convert 137% to a decimal, divide 137 by 100 to get the decimal 1.37.
Explanation:
To write 137% as a fraction, you should consider that percent means 'per hundred.' Therefore, 137% can be written as a fraction with a denominator of 100: 137/100, which is already in its simplest form.
To express 137% as a decimal, you divide the numerator by the denominator. In this case, you would divide 137 by 100. This gives you the decimal 1.37, which is the decimal equivalent of 137%.
Understanding these conversions is crucial when working with percentages, and they can often simplify calculations in various mathematical problems.
Gradpoint-What is the value of y?
25
35
50
100
Answer:
35
Step-by-step explanation:
60 x 70 ÷ 50 yyyyyygsgsgsvsvshsh
Find the area.
8 ft
7 ft
14 ft
Answer:
784
Step-by-step explanation:
I’m pretty sure I did this right I just multiplied them
What is the measure of a straight angle?
A less than 90°
Bgreater than 90°
C 90°
D 180°
Answer:
D 180°
Step-by-step explanation:
The measure of a straight angle is 180°.
Which statement is correct?
A kilometer is 100 times the length of a meter.
A kilometer is 1,000 times the length of a meter.
A centimeter is 100 times the length of a meter.
A meter is 10 times the length of a centimeter.
Answer:
A centimeter is 100 times the length of a meter.
A kilometer is 1,000 times the length of a meter.
The statement that asserts a true claim would be:
B). A kilometer is [tex]1,000[/tex] times the length of a meter.
Metric System
The metric system is a measurement system that employs the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass).Kilometers are [tex]1,000[/tex] meters. In the metric system, the meter is the basic unit for measuring length or distance.[tex]1[/tex] kilometer [tex]=1000[/tex] metersSo, a kilometer is [tex]\boldsymbol{1,000}[/tex] times the length of a meter.Find out more information about "mathematical units" here:
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