Step-by-step explanation:
Let's set up a proportion.
345.12/4638.34=x/100.
A percent is always out of one hundred and is the part out of a whole, so to solve for it we must set x equal to the part (345.12) out of the whole (4638.34).
Now if we solve for x it will equal 7.440593, which is kind of a big number. We can round it to the nearest hundredth, 7.44%, or just round it to the nearest percentage 7%.
To calculate the percentage of Louis's income that is taxed, we divide the amount of tax by the total income and multiply by 100. This tells us that Louis pays roughly 7.44% of his monthly income in taxes.
Explanation:To find out the percentage of income that Louis paid in taxes, we first need to divide the total amount of taxes ($345.12) by Louis's total monthly income ($4638.34) and then multiply by 100 to get the percentage. The calculation would look like this: ($345.12 / $4638.34) * 100. If you compute this, you will find that Louis pays about 7.44% of his monthly income in taxes.
So, the percentage that has been removed from Louis's income for taxes is 7.44%.
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A person operating a machine can mow 0.75 acres in ½ hour. What is the rate, in acres per hour, that the person can mow? Write your answer as a decimal.
1.50 acres is the answer.
Final answer:
The mowing rate is 1.5 acres per hour
Explanation:
To find the rate at which a person can mow in acres per hour, we need to use the data provided that a person can mow 0.75 acres in ½ hour. To convert this to a rate in acres per hour, we divide the acres mowed by the hours it took to mow them:
To find the rate at which the person can mow, we need to divide the number of acres mowed by the time taken. In this case, the person can mow 0.75 acres in 1/2 hour.
So, the rate at which the person can mow is 1.5 acres per hour
Rate (in acres per hour) = Acres mowed / Hours taken = 0.75 acres / 0.5 hours = 1.5 acres per hour
Thus, the person can mow at a rate of 1.5 acres per hour.
Is -3 an irrational or rational number
Answer:
Rational number
Step-by-step explanation:
A rational number is one which can be expressed in the form
[tex]\frac{a}{b}[/tex] where a and b are integers
- 3 can be expressed as [tex]\frac{-3}{1}[/tex] -3 and 1 are integers
Hence - 3 is a rational number
Type the correct answer in the box
Answer:
5
2
2
Step-by-step explanation:
Given in the question the polynomial
x^5 - 9x^4 + 13x³ + 57x² - 86x - 120
1)has total of 5 zeroes
Regardless of odd or even, any polynomial of positive order can have a maximum number of zeros equal to its order.
2)
maximum of 2 positive real roots
Using Descartes' Rule of Signs
x^5 - 9x^4 + 13x³ + 57x² - 86x - 120
------------ -----------
1 2
There are 2 sign changes in the positive-root case. This number 2 is the maximum possible number of positive zeroes.
3)maximum of 2 negative real roots
Using Descartes' Rule of Signs
When f (–x), we have
- x^5 - 9x^4 - 13x³ + 57x² + 86x - 120
--------- ----------
1 2
number of sign changes = 2
simplify expression
Answer:
-2
Step-by-step explanation:
8-(-2) = 8 + 2 = 10
7 - 12 = -5
10 / -5 = -2
Find the value of x, rounded to the nearest tenth.
Answer options: 3.8, 4, 2.7, 2.9
Answer:
4
Step-by-step explanation:
If two chords intersect externally, then the product of the length of the chord and the length of the part outside the circle is a constant.
Thus from the figure,
we can deduce that:
8×3=6×x
collecting the like terms together we get:
24=6x
x=4
Answer:
x =4
Step-by-step explanation:
Refer the attached figure:
We will use Intersecting secants theorem
Theorem : When two secant lines intersect each other outside a circle, the products of their segments are equal. i.e. [tex]a\times b = c \times d[/tex](refer the attached figure)
So, using this theorem
[tex]x \times 6 = 3 \times 8[/tex]
[tex]x = \frac{24}{6}[/tex]
[tex]x = 4[/tex]
Hence the value of x is 4.
Which of the following statements is false?
C. Surface area and volume use the same unit of measurement
Answer:
The answer is C.
Step-by-step explanation:
No idea for the Step-by-Step explanation
A basketball team will play 12 home games during the season. it has played 6 home games so far. of the season's remaining games,1/3 will be played at home. The equation 1/3g+6=12 can be used to find the the total number of games,g,remaining this season. How many games,g,remain in the season
Answer:
18
Step-by-step explanation:
⅓g + 6 = 12
⅓g = 6 Subtracted 6 from each side
g = 18 Multiplied each side by 3
18 games remain in the season.
Check:
⅓ × 18 + 6 = 12
6 + 6 = 12
12 = 12
please please help me asap!
Answer:
-25
Step-by-step explanation:
You use the PEMDAS order of operations to find this out
So first you do exponents
-1^3 is positive
so you then rewrite the equation as 3*4(-2)-1
Then you multiply and divide
12(-2)
That equals -24
Then you add the remaining
-24+-1= -25
A right rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm. The dimensions of the prism are doubled. What is the surface area of the enlarged prism?
Answer:
376 square centimeters
Step-by-step explanation:
When doubled, the new length is 5*2=10 cm, new width is 4*2=8 cm, and new height is 3*2=6 cm.
The surface area of a rectangular prism is given by : [tex]2(lw+wh+lh)[/tex]
Where l is length, w is width, and h is height
Plugging in the new values we get:
[tex]2(lw+wh+lh)\\=2((10)(8)+(8)(6)+(10)(6))\\=2(80+48+60)\\=2(188)\\=376[/tex]
The surface area of the enlarged prism = 376 cm^2
Answer: 376 cm²
Step-by-step explanation:
If the dimensions are doubled then:
length=10cm
width=8cm
height=6cm
You must apply the formula for calculate the surface area of a rectangular prism, whih is shown below:
[tex]SA=2(wl+lh+hw)[/tex]
Where l is the length, w is the width and h is the height.
WHen you substitute values, you obtain the following result:
[tex]SA=2[(8cm*10cm)+(10cm)(6cm)+(6cm)(8cm)][/tex]
[tex]SA=376cm^2[/tex]
9340.00 is invested into an account that earns 8 1/2% simple interest for 15 years. What is the interest earned and what is the total in the account?
The amount of interest earned is $11908 and the total amount is $21248.
What is simple interest?Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.
Given that 9340.00 is invested into an account that earns 8.5% simple interest for 15 years.
The simple interest will be calculated by the formula below,
Simple interest = ( P x R x T ) / 100
Simple interest = ( 9340 x 8.5 x 15 ) / 100
Simple interest = $11908.5
The total amount will be,
Amount = $11908.5 + $9340
Amount = $21248.5
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The simple interest earned on an investment of $9340.00 at a rate of 8.5% over 15 years is $11919.00. The total amount in the account after 15 years is $21259.00.
To calculate the simple interest earned on an investment, you can use the formula I = P × r × t, where I is the interest, P is the principal amount, r is the interest rate (in decimal form), and t is the time in years . In this case:
r (Interest Rate) = 8.5% or 0.085 (since 8 1/2% is the same as 8.5%)
t (Time) = 15 years
Using the formula:
I = $9340.00 × 0.085 × 15 = $11919.00
The total simple interest earned over 15 years would be $11919.00. To find the total amount in the account after 15 years, we add this interest to the original principal:
Total = Principal Amount + Interest
Total = $9340.00 + $11919.00 = $21259.00
Therefore, the total in the account after 15 years will be $21259.00.
plzzzzz help worth 15 points
Which expression is equivalent to one over threep + 15? one over three(p + 45) one over three(p + 5) 3(p + 45) 3(p + 5)
Answer:
[tex]\large\boxed{\dfrac{1}{3p+15}=\dfrac{1}{3(p+5)}}[/tex]
Step-by-step explanation:
"one over threep + 15":
[tex]\dfrac{1}{3p+15}=\dfrac{1}{(3)(p)+(3)(5)}=\dfrac{1}{(3)(p+5)}=\dfrac{1}{3(p+5)}[/tex]
the size of an iPod would be what aspect of the product
A. quality
B. benefit
C. feature
D. asset
Answer:
C: feature
that is the correct answer
PLEASE HELP WILL GIVE POINTS PLEASE HELP AND WILL MARK BRAINLIEST(IF CORRECT)
Answer:
the second one
Step-by-step explanation:
four less than the quotient of a number x and 4.
Answer:
(x/4) -4
Step-by-step explanation:
quotient means divide
quotient of a number x and 4.
x/4
four less than
x/4 -4
Answer:
This can be written as x/4 - 4
Step-by-step explanation:
To find this, note that quotient denotes a division problem. Then we subtract 4, since it starts with four less than,
Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. Then she used 3/4 of the remainder to make a salad. What fraction of the tomatoes did mrs Jenkins use to make the salad?
Answer:
Final answer is 1/3.
Step-by-step explanation:
Question says that Mrs Jenkins picked some tomatoes from her garden. She used 5/9 of the tomatoes to make pasta sauce. After that she used 3/4 of the remainder to make a salad. Now we need to find about what fraction of the tomatoes did Mrs Jenkins use to make the salad.
As she used 5/9 of the tomatoes to make pasta sauce.
Now remaining amount of tomatoes = 1- 5/9 = 9/9 -5/9 = 4/9
Then she used 3/4 of the remainder to make a salad. So fraction of the tomatoes did Mrs Jenkins use to make the salad = (4/9)(3/4)=12/36=1/3
Hence final answer is 1/3.
Which of the following inequalities match the statement “nine is more than a number”? 9 < n 9 ≥ n 9 ≤ n 9 > n
The correct answer is 9>n since it doesn't say greater than or equal to, we can cross out the 2 and that leaves us with 9<n and 9>n but it actually says 9 is more than a number so that leaves us with 9>n
solve the simultaneous equations y =x+2 and x + y = 3
Answer: [tex]\bold{\bigg(\dfrac{1}{2},2\dfrac{1}{2}\bigg)}\qquad \implies \qquad \bold{\bigg(\dfrac{1}{2},\dfrac{5}{2}\bigg)}[/tex]
Step-by-step explanation:
y = x + 2 x + y = 3
Solve using Substitution Method by replacing y with x + 2:
x + (x + 2) = 3
2x + 2 = 3
2x = 1
x = [tex]\dfrac{1}{2}[/tex]
Next, replace x with 1/2 in one of the original equations and solve for y:
y = x + 2
= [tex]\dfrac{1}{2}[/tex] + 2
= [tex]2\dfrac{1}{2}[/tex]
Answer:
x = 1/2
y = 5/2
Step-by-step explanation:
So we're gonna use the elimination method, by eliminating one of x or y to find the value of the other one.
y = x + 2 --------------(1)
x + y = 3 --------------(2)
In (1), x is in LHS and y is in RHS. To make things simpler, we take both x and y to the same side.
y = x + 2
y - x = x + 2 - x ( take x to the other side)
y - x = 2-------------------------(3)
Note that in (2), x is positive and in (3), x is negative. So by adding these two, we can single out y because +x and -x cancels out. So we can eliminate x.
(3) + (1) : (x+y) + (y- x) = 3 + 2
2y = 5
y = 5/2
Substituting y = 5/2 for (1),
5/2 - x = 2
5/2 = 2 + x
5/2 - 4/2 = x
x = 1/2
∴ x = 1/2
y = 5/2
Hope i helped you :)
HELP BRAINLIEST!
Which of the following is a statistical question?
A.
How many students attend Natasha's school?
B.
How many players are on Greg's football team?
C.
What are the checking account balances of the shoppers in a grocery store?
D.
What volume of milk is used to make cupcakes according to Paula's cookbook?
Answer:
The answer is C for sure
Step-by-step explanation:
I would say the answer is C. What are the checking account balances of the shoppers in a grocery store?
Hope this helps!
Please help me with this. 20 points.
Answer:A,C
Step-by-step explanation:
Answer:
A, C
Step-by-step explanation:
The domain is the set of all possible x-values that will make the function work.
Here, m is the x-value (the independent variable).
The month number m is an integer, so the appropriate number type for the domain of r is integer.
The month numbers run from 1 to 12, inclusive, so the appropriate domain is 1 ≤ m ≤ 12.
Mike started saving money by putting 50 dollars aside. Each month, he adds more money than the month before. At the end of 36 months, he has saved 4950. How much more does he add each month?
Answer:
He add $5 more each month
Step-by-step explanation:
* Lets consider this problem as an arithmetic sequence because
he add every month x dollars more
∵ He start with 50 dollars ⇒ a (1st amount)
∵ He add x dollars every month ⇒ d
∵ He did that for 36 months ⇒ n
∵ He saved 4950 dollars ⇒ Sn
∵ Sn = n/2[2a + (n - 1)d]
* Where Sn is the total money after n months
a is the first amount he saved
d is the money he add more each month
∴ 4950 = 36/2[2(50) + (36 - 1)(x)]
∴ 4950 = 18[100 + 35x]
∴ 4950/18 = 100 + 35x
∴ 35x = 275 - 100 = 175
∴ x = 175/35 = 5 dollars
Answer:
Mike added $5 more each month.
Step-by-step explanation:
We are given that Mike started saving money by putting $50 aside. Each month, he adds more money than the previous month and so by the end of 36 months, he saved $4950.
Assuming this to be an arithmetic sequence:
[tex]S_n = \frac{n}{2} (2a+(n-1)d)[/tex]
where [tex]S_n=4950[/tex], [tex]n=36[/tex], [tex]a=50[/tex] and [tex]d= x[/tex].
Substituting the given values in the above formula to find how much more money does he add each month.
[tex]4950 = \frac{36}{2} (2 \times 50+(36-1)d)[/tex]
[tex]4950=1800+630x[/tex]
[tex]x=\frac{3150}{630}[/tex]
[tex]x=5[/tex]
Therefore, Mike added $5 more each month.
What is 2x-5=7 PLZ HELP ME!!!
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷2x-5=7
First, we need to add 5 on both sides, so the -5 cancels out.
2x=12
Next, we divide 2 on both sides to isolate x.
x=6
Final answer:
x=6
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
TROLLER
Answer:
The Answer is 6 Or x = 6
Step-by-step explanation:
Solve for x for the equation 2x-5=7
1) Add 5 on both side
2x =12
2) divide 2 on both side
12/2=6
x=6
Hopes this help!
Urvi solved a fraction division problem using the rule “multiply by the reciprocal.” Her work is shown below.
Answer:
D. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Step-by-step explanation:
We know that Urvi solved a fraction division problem using the rule “multiply by the reciprocal.”
According to this rule, “multiply by the reciprocal”, we need to take the reciprocal of the divisor (denominator) and multiply with the dividend in its original form.
Looking at the calculations made by Urvi, we can see that she took the reciprocal of the dividend and not the divisor.
Therefore, the correct answer option is D. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.
Answer: it d
Step-by-step explanation:
Because the the the answer is the letter D
A picture on the wall in Jeremy’s classroom has 4 right angles,4 sides of equal length,and 2 pairs of opposite sides that are parallel.What quadrilateral best describes the picture?
The answer is: A square.
Why?The quadrilateral is a square since:
- It has four right angles, squares have four right angles (90°), giving a total of 360° if you sum all of them.
- It has four equal sides, squares have four sides of equal length.
- It has two pairs of opposite sides that are parallel, if we look for a side of a square, we will find an opposite side which is parallel, so, squares have two pairs of opposite sides that are parallel.
Have a nice day!
can someone help me with this? graph the quadratic function label the vertex axis of symmetry and x intercepts. Describe the Domain and range of the function.
Answer:
x-12(+4)
Step-by-step explanation:
7x+4x=11x+1x=12x +4.
What is the length of segment AB
A. 5
B. 6
C. 8
D. 10
Answer:
D. 10Step-by-step explanation:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
From the graph we have the points A(6, 2) and B(0, 10). Substitute:
[tex]AB=\sqrt{(0-6)^2+(10-2)^2}=\sqrt{(-6)^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex]
The length is D. 10
√ (x2 - x1)^2 + (y2 - y1)^2
√ (0-6)^2 + (10 - 2)^2
√ (-6)^2 + (8)^2
√ 36 + 64
√ 100 = 10
a soccer team played 47 games and won 33.Rounding to the nearest whole number,what percent of its games did the team win?
Answer:
70%
Step-by-step explanation:
1. divide the number of games won (33) by the total number of games (47)
33/47 = 0.702
2. Move the decimal two places to the right = 70.2%
3. round down to 70%
Final answer:
The soccer team won 70% of its games after calculating the fraction of games won, converting it to a decimal, then to a percent, and finally rounding to the nearest whole number.
Explanation:
To calculate the percent of games won by the soccer team, we divide the number of games won by the total number of games played and then multiply by 100 to convert the fraction to a percentage.
Step 1: Find the fraction of games won: 33 (games won) ÷ 47 (total games).
Step 2: Convert the fraction to a decimal: 33 ÷ 47 = 0.7021.
Step 3: Convert the decimal to a percent: 0.7021 × 100 = 70.21%.
Step 4: Round to the nearest whole number: 70.21% rounded to the nearest whole number is 70%.
Therefore, the soccer team won 70% of its games.
which is the best buy
Answer:
C, 4 kilogram bags.
Step-by-step explanation:
All you have to do for this is divide the price by the kilograms. I did this for every one and the lowest cost per kilogram was C, $4.60.
Mark brainliest if you can plz!
Which of the following is a polynomial function in factored form with zeros at -8,-1 and 3
Answer:
[tex]\large\boxed{y=a(x+8)(x+1)(x-3)}[/tex]
Step-by-step explanation:
[tex]\text{Factored form:}\\\\y=a(x-x_1)(x-x_2)(x-x_3)\\\\x_1,\ x_2,\ x_3-zeros\\\\\text{We have}\ x_1=-8,\ x_2=-1\ \text{and}\ x_3=3.\ \text{Substitute:}\\\\y=a(x-(-8))(x-(-1))(x-3)\\\\y=a(x+8)(x+1)(x-3)\\\\\text{Where}\ a\neq0\ (\text{any real number except 0})[/tex]
Cube A has a side length of 3 meters and cube B has a side length of 6 meters. Calculate the volume of the two cubes. Which statement accurately represents the relationship between the two volumes? A) The volume of cube A is half the volume of cube B. Eliminate B) The volume of cube B is 4 times the volume of cube A. C) The volume of cube B is 6 times the volume of cube A. D) The volume of cube B is 8 times the volume of cube A.
Answer: The correct answer is choice D.
Step-by-step explanation: In order to answer this question you need to calculate the volume of each of the cubes.
Cube A has a side which is 3 meters, so the volume = 3 x 3 x 3 = 27
Cub B has a side which is 6 meters, so the volume = 6 x 6 x 6 = 216
216/27 = 8. Therefore, the volume of cube B is 8 times the volume of cube a.
The volume of cube A is 27 cubic meters and the volume of cube B is 216 cubic meters. Cube B's volume is 8 times greater than cube A's. The correct answer is option D)
Explanation:The volume of a cube is calculated by cubing the length of its side. So, the volume of cube A is 3 meters x 3 meters x 3 meters = 27 cubic meters. The volume of cube B is 6 meters x 6 meters x 6 meters = 216 cubic meters. Comparing the volumes, cube B's volume is 216/27 = 8 times greater than the volume of cube A. Therefore, the statement that accurately represents the relationship between the two volumes is option D) The volume of cube B is 8 times the volume of cube A.
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a motorboat maintains a constant speed of 38 miles per hour. it takes 30 minutes to travel upstream and 27 minutes back. what is the speed of current?
Answer:
r = 2 [stream's speed is 2 mph downstream
Step-by-step explanation:
Remark
The distances traveled [upstream and downstream] are the same.
If it takes longer to go upstream, it means the speed of the current is going against him. So the rate is 38 - r where r is the speed of the current.
The rate of the downstream is 38 + r because it takes him less time to go downstream and the current is helping him go.
The times are given
Givens
Time Upstream = 30 minutesTime Downstream = 27 minutesDistance upstream = d1Distance downstream = d2rate upstream: 38 - rrate downstream: 38 + rd1 = d2Formula
d1 = d2
d1 = (38 - r) * 30
d2 = (38 + r) *27
(38 - r) * 30 = (38+r)*27
Solution
Remove the brackets on both sides.
38*30 - 30*r = 38*27 + 27r Add 30r to both sides
38*30 - 30r + 30r =38*27 + 27r + 30r Combine the numbers
1140 = 1026 + 57r Subtract 1026 from both sides.
114 = 57r Divide by 57
114/57 = 57r/57
r = 2