Answer:
[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Note the [tex]\sqrt[3]{8}[/tex] = 2 and [tex]\sqrt[3]{125}[/tex] = 5
Thus
[tex]\sqrt[3]{\frac{8}{125} }[/tex] = [tex]\frac{\sqrt[3]{8} }{\sqrt[3]{125} }[/tex] = [tex]\frac{2}{5}[/tex]
Answer:
2/5
Step-by-step explanation:
8 = 2^3
125 = 5^3
qasim hussain opened his account book. he obseverd that the sum of page numbers of the two pages in front of him is 93. find the page number
Answer:
The page numbers are 46 and 47.
Step-by-step explanation:
Given:
Qasim hussain opened his account book. He observed that the sum of page numbers of the two pages in front of him is 93.
Now, to find the page numbers.
Let the first page number be [tex]x.[/tex]
And the other page number be [tex]x+1.[/tex]
As, given he observed that the sum of page numbers of the two pages in front of him is 93.
According to question:
[tex]x+(x+1)=93[/tex]
[tex]x+x+1=93\\2x+1=93[/tex]
Subtracting both sides by 1 we get:
[tex]2x=92[/tex]
Dividing both sides by 2 we get:
[tex]x=46.[/tex]
So, the first page number = 46.
And the other page number = [tex]x+1=46+1=47.[/tex]
Therefore, the page numbers are 46 and 47.
what is the process of using a line over the repeating digits of a decimal
Answer:
Step-by-step explanation:
Answer: i'm pretty sure it is called repeating
Given the equation y=kx where y=1.2 and x=1.5, what is the value of k?
Answer:
The value of k is 0.8
Step-by-step explanation:
we have
[tex]y=kx[/tex]
This linear equation represent a direct variation
we have
y=1.2, x=1.5
substitute in the equation
[tex]1.2=1.5k[/tex]
solve for k
divided by 1.5 both sides
[tex]k=1.2/1.5=0.8[/tex]
The linear equation is
[tex]y=0.8x[/tex]
351 rounded to the nearest 10
Answer:
350 is your answer
Step-by-step explanation:
anything lower than five you wouldn't round up you'd round down so basically the 1 is pointless
Rounding 351 to the nearest 10 gives us 350, as per the rule of place value while rounding.
When rounding a number to the nearest 10, we consider the digit in the tens place. If the digit in the unit's place is 5 or greater, we round up; otherwise, we round down.
In the case of 351, the digit in the tens place is 5, and the digit in the units place is 1. Since the digit in the unit's place is less than 5, we round down. Therefore, when rounding 351 to the nearest 10, we get 350.
Rounding 351 to the nearest 10 essentially means approximating it to the nearest multiple of 10. In this case, 351 is closer to 350 than to 360, which is the next multiple of 10.
So, rounding 351 to the nearest 10 gives us 350.
To learn more about the place value;
https://brainly.com/question/27734142
#SPJ6
Harry solves the equation 1/3t=15. He says the solution is 30. Is his solution correct.
Harry can first substitute (blank) for t. He can the multiply 1/3 by (blank) to get a product of (blank). Since 15 (blank) equal to (blank), Harry's solution (blank) correct
Answer:
Harry can first substitute 30 for t. He can then multiply [tex]\frac{1}{3}[/tex] by 30 to get a product of 10. Since, 15 is not equal to 15, Harry's solution is not correct.
Step-by-step explanation:
Harry solves the equation [tex]\frac{1}{3}t = 15[/tex]. He says the solution is 30.
Now, to check whether Harry correct or not, Harry can first substitute 30 for t. He can then multiply [tex]\frac{1}{3}[/tex] by 30 to get a product of 10. Since, 15 is not equal to 15, Harry's solution is not correct.
This is an alternate way to check the answer obtained is correct or not. (Answer)
To start a mobile dog-grooming service, a woman borrowed $3500. If the loan was for 2 years and the amount of interest was $224, what simple interest rate was she charged?
Answer:3.2%
Step-by-step explanation:
What is 4 raised to the power of 2 ÷ 2 raised to the power of 3
The scale on a map is 1 inch to 3 miles. If the distance between two points is 6 inches, what proportion should you use to find the actual distance?
Answer:
Step-by-step explanation:
=
Find the surface area of the rectangle prism. 3cm 9cm and 6cm
Answer:
198 cm²
Step-by-step explanation:
We are given the dimensions of a rectangular prism;
3cm 9cm and 6cm
We are required to determine its surface area;
We need to know that;
Surface area of a rectangular prism is given by;
A = 2(WL+HL+WH)
Where L, W and H are length , width and height respectively;
Assuming;
Width is 3 cm
Length is 9 cm, and
Height is 6 cm
Then;
Area = 2 ( (3×9) + (6×9) + (3×6))
= 2(99)
= 198 cm²
Therefore, the area of the rectangular prism is 198 cm²
Final answer:
The surface area of a rectangular prism with dimensions 3 cm by 9 cm by 6 cm is 198 square centimeters.
Explanation:
To find the surface area of a rectangular prism with dimensions of 3 cm, 9 cm, and 6 cm, we need to calculate the area of all six faces of the prism and then sum those areas. The formula to find the surface area (SA) of a rectangular prism is:
SA = 2lw + 2lh + 2wh
where l is the length, w is the width, and h is the height.
Substituting our given dimensions into the formula gives us:
SA = 2(3 cm)(9 cm) + 2(3 cm)(6 cm) + 2(9 cm)(6 cm)
SA = 2(27 cm²) + 2(18 cm²) + 2(54 cm²)
SA = 54 cm² + 36 cm² + 108 cm²
SA = 198 cm²
So, the total surface area of the rectangular prism is 198 square centimeters.
Salim has 9 five-dollar bills and ten-dollar bills in his
wallet. The total amount in his wallet is $60. This situation
can be represented with the system x + y = 9 and
5x + 10y = 60, where x represents the number of five-dollar
bills and y represents the number of ten-dollar bills.
How many five- and ten-dollar bills does Salim have?
The number of five- and ten-dollar bills that Salim has are; 6 and 3
How to solve simultaneous equations?We are given two equations;
x + y = 9 - - - - (eq 1)
5x + 10y = 60 - - - (eq 2)
Where;
x represents the number of five-dollar bills.
y represents the number of ten-dollar bills.
Making x the subject in eq 1 gives;
x = 9 - y
Put 9 - y for x in eq 2 to get;
5(9 - y) + 10y = 60
45 - 5y + 10y = 60
5y + 45 = 60
5y = 60 - 45
5y = 15
y = 15/5
y = 3
Thus;
x = 9 - 3
x = 6
Read more about simultaneous equations at; https://brainly.com/question/16863577
20 pts look at pic n answer
1. [tex]\frac{x^3}{x^8}=x^{-5}[/tex]
2. [tex]\frac{6x}{2x^8} = 3x^{-7}[/tex]
3. [tex]\frac{28x^6}{21x^2} = \frac{4}{3}x^4[/tex]
Step-by-step explanation:
1. x^3/x^8
Given fraction is:
[tex]\frac{x^3}{x^8}[/tex]
When the bases are same in both numerator and denominator then the exponents can be added
i.e.
[tex]\frac{x^a}{x^b} = x^{a-b}[/tex]
So,
[tex]\frac{x^3}{x^8} = x^{3-8} = x^{-5}[/tex]
Part b:
[tex]\frac{6x}{2x^8}\\= \frac{3.2.x}{2.x^8}\\=\frac{3x}{x^8}\\=3x{1-8}\\=3x^{-7}[/tex]
Part c:
Given
[tex]\frac{28x^6}{21x^2}\\= \frac{7.4.x^6}{7.3.x^2}\\=\frac{4}{3} x^{6-2}\\=\frac{4}{3}x^4[/tex]
Keywords: Fractions, exponents
Learn more about fractions at:
brainly.com/question/5282516brainly.com/question/5424148#LearnwithBrainly
Newport Township is building a new playground area for which expression represents the length of one of the
neighborhood kids. The playground will be a square with playground's sides?
a perimeter of 56+8/3
An equivalent expression is 56 + 8(1/3x)
The answer is 14+2/3x
I hoped this helped :)
The mean and the standard deviation of a normal
population are called
. The mean
and the standard deviation of a random sample
from a population are called
95%
DONE
Answer:
(B) Parameters
(A) Statistics
Step-by-step explanation:
edg 2020
The mean and the standard deviation of a normal population are called parameters, and of a random sample from a population are called statistic
Normally distributed data In a normal distribution, data is symmetrically distributed with no skewNormally distributed data is the distribution of probability which is symmetric about the mean.Normal distributions are symmetric, unimodal, and asymptotic, and the mean, median, and mode are all equalHow to solve this problem?The steps are as follow:
The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.Those numbers who summarize information about sample are called statistic.The numbers which summarize information about population are called parameters.The numbers which summarize information about the sample are called statistic.Therefore, the mean and the standard deviation of a normal population are called parameters, and of a random sample from a population are called statistic
Learn more about Normally distributed data here:
https://brainly.com/question/1407349
#SPJ2
Shailyn solved 618 math problems in one week. Karla solved 549 math problems. How many more math problems did shailyn solve than Karla ?
Shailyn solved 69 more math problems than Karla by subtracting the number of problems Karla solved (549) from the number of problems Shailyn solved (618).
To find out how many more math problems Shailyn solved than Karla, we need to subtract the number of problems Karla solved from the number Shailyn solved. The calculation is as follows:
Shailyn solved = 618 math problemsKarla solved = 549 math problemsDifference = Shailyn's problems - Karla's problemsDifference = 618 - 549 = 69 math problemsTherefore, Shailyn solved 69 more math problems than Karla.
Sally’s game piece was on 58.
She used these cards. To capture a chip:
+2 +30 +2
Where did she land ?
Write equation to show her moves .
Answer:
She lands on 92.
Step-by-step explanation:
92=58+2+30+2
where she lands = 58+34
92 = 58 + 2x + y where x=2 and y=32
Final answer:
Sally started on square 58 and used three cards with values of +2, +30, and +2, respectively. The equation for her moves is 58 + 2 + 30 + 2, which equals 92. Hence, she landed on square 92.
Explanation:
Sally's game piece was initially on square 58. To find out where she landed after using her cards, we can write an equation that adds the values on the cards to her starting position. Sally played three cards with the following values: +2, +30, and +2.
The equation to show Sally's moves is:
Starting position + first card + second card + third card = new position
58 + 2 + 30 + 2 = new position
Now, let's calculate the total:
58 + 2 = 60
60 + 30 = 90
90 + 2 = 92
Therefore, Sally's new position after using all her cards is on square 92.
write cos (19°) in terms of sine
Answer:
sin(71°)
Step-by-step explanation:
Sine lags behind cosine by 90°
In other word, cos(∅) = sin(90° - ∅)
cos(19°) = sin(90° - 19°)
= sin(71°)
8x + 2x - 5 = -35
Can someone help me with this answer and how to show my work?
If there are 45 guests at the party, predict how many would choose a gift card?
Answer:
Since there is a 50-50 chance of a person at the party choosing a gift card, and since there can only be 1 of 2 outcomes, we can assume that there will either be more people choosing a gift card than not, or there will be more people not choosing a gift card than are. So, that means that there would be 23 people (more or less) choosing a gift card and 22 people (more or less) not choosing a gift card or vice-versa.
Which expression can be used to determine the slope of the line that passes through the points (–7, 3) and (1, –9)?
StartFraction 1 minus (negative 7) Over negative 9 minus 3 EndFraction
StartFraction 1 + (negative 7) Over negative 9 + 3 EndFraction
StartFraction negative 9 minus 3 Over 1 minus (negative 7) EndFraction
StartFraction negative 9 + 3 Over 1 + (negative 7) EndFraction
Answer:
Option C
Step-by-step explanation:
We want to select the expression that can be used to find the slope of the line going through the points (–7, 3) and (1, –9)
Recall that the slope is given by:
[tex] \frac{y_2-y_1}{x_2-x_1} [/tex]
We substitute the points into the formula to get:
[tex] \frac{ - 9 - 3}{1 - - 7} [/tex]
Therefore the third choice is correct.
Answer:
C
Step-by-step explanation:
A colony of 21,300 bacteria doubles in size every 260 hours. What will the population be 520
hours from now?
Answer:
85,200
Step-by-step explanation:
21,300*2=42,600
42,600*2 = 85,200
What is the equation for the line of reflection? On a coordinate plane, triangle A B C has points (6, 3.7), (5.4, 2), (1, 3). Triangle A prime B prime C prime has points (3.7, 6), (2, 5.4), (3, 1). x = 3 y = 3 y = x x = 6
Answer:
The answer is y = x
The equation for the line of reflection can be found by using the midpoint formula and the slope formula. The equation for the line of reflection for the given points (6, 3.7) and (3.7, 6) is y = -x + 9.7.
Explanation:The equation for the line of reflection can be found by using the midpoint formula and the slope formula. The midpoint of each corresponding pair of points can be calculated to find the coordinates of the image points. Then, the slope of the original line and the slope of the reflected line can be calculated. Using the midpoint and slope, the equation of the line of reflection can be determined.
For example, to find the equation for the line of reflection for points (6, 3.7) and (3.7, 6), we can calculate the midpoint: ( (6 + 3.7) / 2, (3.7 + 6) / 2 ) = (4.85, 4.85).
Next, we can calculate the slope of the original line using the points (6, 3.7) and (5.4, 2) using the slope formula: (2 - 3.7) / (5.4 - 6) = -1.7 / -0.6 = 2.83.
Finally, we can calculate the slope of the reflected line using the points (4.85, 4.85) and (3.7, 6) using the slope formula: (6 - 4.85) / (3.7 - 4.85) = 1.15 / -1.15 = -1.
So, the equation for the line of reflection is y = -x + b. To find b, we can use the point (4.85, 4.85). Substituting the values into the equation, we get 4.85 = -(4.85) + b, which simplifies to b = 9.7.
Therefore, the equation for the line of reflection is y = -x + 9.7.
If you invested $500 at 5% simple interest for 2 years, how much interest do you earn? Show work and answer in complete sentences to earn full credit.
If you invest $500 at 3% compounded monthly for 2 years, how much interest you do earn? Show work and answer in complete sentences to earn full credit.
Which would you rather do?
The first investment can be shown as T=500*1.05^2 which is $551.25
The second investment can be shown as T=500*e^(0.03*12*2) which is $1027.22
So the second investment is better
Hope that helped!
How do I solve this?
Answer:
x = -1
y = -1
Step-by-step explanation:
3x - y = -2
2x + y = -3
Multiply equation 1 by 2 and equation 2 by 3
We have
2x3x - 2xy = 2x-2
3x2x + 3xy = -3x3
Equation 1 6x - 2y =-4
Equation 2 6x + 3y = -9
Subtract equation 2 from 1
We have -5y = 5
Divide both sides by -5
y = 5/-5 = -1
Now Substitute y = -1 into any of the equations to get x
Using equation 1 , we have
3x - (-1) = -2
3x +1 = -2
Collect like terms
3x = -2 -1
3x = -3
Divide both sides by 3
x = -3/3 = -1
Answer
First of all, we need to identify the type of equation this is...
Since we are solving two at a go, it means it's a simultaneous equation.
Now, we need to solve them differently.
Taking the first one which says...
3x -y = -2
Then we say
When x is 0, y =?
So in the equation above , we replace x with 0
Meaning- 3x-y = -2
3(0) -y= -2
0 -y= 2
-y =-2
Y =2
Also, when y =0.
3x- 0 =-2
3x=-2
X=-2/3.
Also for the other equation
2x+ y =-3
When x= 0 in the above equation
2(0) + y= -3
0 +y=-3
Y=-3
When y = 0
2x+ 0= -3
2x = -3
X=-3/2
The above is what well plot on the graph.
t
Step-by-step explanation:
Owen is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Owen will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie. Owen's songs were played on 4 more commercials than movies, and his total earnings on the royalties from all commercials and movies was $770. Determine the number of commercials and the number of movies on which Owen's songs were played.
Answer:
Owen's songs were played on 3 movies and on 7 commercials.
Step-by-step explanation:
System of Equations
Let's call C the number of commercials on which Owen's songs were played and M the number of movies on which Owen's songs were played. We know Owen's songs were played on 4 more commercials than movies, it can be expressed as
[tex]C=M+4[/tex]
Owen will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie, so his total earnings are
[tex]140M+50C=770[/tex]
We have a system of linear equations that can be easily solved by using the formula for C in the above equation
[tex]140M+50(M+4)=770[/tex]
Operating
[tex]140M+50M+200=770[/tex]
Reducing
[tex]190M=770-200=570[/tex]
Solving
[tex]M=570/190=3[/tex]
The number of commercials is
[tex]C=M+4=7[/tex]
Owen's songs were played on 3 movies and on 7 commercials.
Suppose your friend's parents invest $15,000 in an account paying 6% compounded annually. What will the balance be after 9 years? round to nearest cent
Using the formula for compound interest, the balance of a $15,000 investment at a 6% interest rate compounded annually after 9 years is approximately $25,342.19.
Explanation:To calculate the balance of an investment of $15,000 at 6% interest compounded annually after 9 years, we can use the formula for compound interest, which is:
A = P(1 + r/n)^(nt)
Where:
A is the amount of money accumulated after n years, including interest.P is the principal amount (the initial amount of money).r is the annual interest rate (decimal).n is the number of times that interest is compounded per year.t is the time the money is invested for in years.In this case:
P = $15,000r = 6% or 0.06n = 1 (since it's compounded annually)t = 9 yearsPlugging these values into the formula gives us:
A = $15,000(1 + 0.06/1)^(1\*9)
A = $15,000(1 + 0.06)^9
A = $15,000(1.06)^9
A = $15,000\*1.689479
A = $25,342.19 approximately
So, after 9 years, the balance will be $25,342.19, rounding to the nearest cent.
An 18% tip is given for a meal. What expression represents the total cost with tip
The total cost of a meal with an 18% tip is calculated by converting the tip to a decimal (0.18), multiplying it by the meal cost, and adding it to the original cost. For a $72 meal, the total with tip would be $84.96.
Explanation:To calculate the total cost of a meal including an 18% tip, you first convert the tip percentage to a decimal by dividing by 100. For an 18% tip, this gives you 0.18. Then, multiply the cost of the meal by this decimal to find the amount of the tip. Finally, add the tip to the original cost of the meal to find the total cost including the tip.
Example Calculation
If the cost of the meal is $72, the tip would be calculated as follows:
Convert the tip percentage to a decimal: 18% = 0.18Multiply the cost of the meal by the decimal to find the tip: 0.18 imes $72 = $12.96Add the tip to the original cost of the meal to get the total cost: $72 + $12.96 = $84.96Therefore, the total cost of the meal with an 18% tip would be $84.96.
pqr is similar to xyz what is the perimeter of xyz? A.21cm B.63cm C. 105cm D.126cm
Answer:
option D. 126 cm
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In this problem
Triangles PQR and XYZ are similar by AA Similarity Theorem
so
[tex]\frac{XY}{PQ}=\frac{YZ}{QR}=\frac{XZ}{PR}[/tex]
Let
z ---> the scale factor
[tex]z=\frac{XY}{PQ}[/tex]
substitute the given values
[tex]z=\frac{30}{5}=6[/tex]
step 2
Find the perimeter of triangle XYZ
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
Let
z ----> the scale factor
p_1 ----> the perimeter of triangle XYZ
p_2 ---> the perimeter of triangle PQR
so
[tex]z=\frac{p_1}{p_2}[/tex]
The perimeter of triangle PQR is
[tex]p_2=5+10+6=21\ cm[/tex]
we have
[tex]z=6\\p_2=21\ cm[/tex]
substitute
[tex]6=\frac{p_1}{21}[/tex]
[tex]p_1=6(21)=126\ cm[/tex]
therefore
The perimeter of triangle XYZ is 126 cm
The Perimeter of ΔXYZ that is similar to ΔPQR is: 126 cm.
What are Similar Figures?The corresponding side lengths of similar figures are proportional, that is, their ratios are equal.
Given that ΔPQR and ΔXYZ are similar, we would have the following ratios:
PQ/XY = PR/XZ = QR/YZ
PQ = 5 cmPR = 6 cmQR = 10 cmXY = 30 cmFind XZ and YZ using their ratios:
PQ/XY = PR/XZ
Substitute
5/30 = 6/XZ
XZ = (6 × 30)/5
XZ = 36 cm
5/30 = 10/YZ
YZ = (10 × 30)/5
YZ = 60 cm
Perimeter of ΔXYZ = XY + XZ + YZ
Perimeter of ΔXYZ = 30 + 36 + 60
Perimeter of ΔXYZ = 126 cm.
Learn more about similar figures on:
https://brainly.com/question/4381215
Will mark brainiest
Answer:
N = 55
Step-by-step explanation:
make use of Pythagoras theoremwhich is :
c^2 = a^2 + b^2where c is the hypotenuse
a is the adjacent
b is the opposite
c = 73
a = 48
b = N
now plug these in the formula
73^2 = 48^2 + N^2
now make N the subject of formula
73^2 - 48^2 = N^2
3025 = N^2
[tex]\sqrt{3025} \\[/tex] = N
N = 55 --- the murder was not done with a fallen object
easy question plz help
Answer: 18
Step-by-step explanation:
9+9
Answer:
18 choice C
Step-by-step explanation:
A=
B=
C=
D=
I don’t get this at all help please
Answer:
A=41
B=20
C=8
D=3
Step-by-step explanation:
You need to first of all fill the intersection (yellow region). This is the number of people who use both.
This means B=20
Region A is those who use F only. So you must subtract the number who use both.
This means that A=61-20=41
Region C is those who use G+ only.
This means C=28-20=8
Now A+B+C+D=72
This implies that:
41+20+8+D=72
69+D=72
D=72-69
D=3