Answer:
factoring c is the best way to solve this
Step-by-step explanation:
S = C ( 1 + R )
C = S/( 1 + R )
The equation after solving is C = S / (1 + R).
To solve for C in the equation S = C + RC, we can factor out C on the right side:
S = C + RC
S = C(1 + R)
Then, we can divide both sides by (1 + R) to isolate C:
S / (1 + R) = C
Therefore, the solution is:
C = S / (1 + R)
For example, if S = 100 and R = 0.1, then C would be:
C = 100 / (1 + 0.1)
C = 100 / 1.1
C = 90.9090909090909
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Mrs. Fronkos class for evry 6 boys there are 8 girls. Write the ratio of boys to girls in simplest form
Final answer:
The ratio of boys to girls in Mrs. Fronko's class in simplest form is 3:4, obtained by dividing both sides of the given ratio, 6:8, by the greatest common divisor, which is 2.
Explanation:
To find the ratio of boys to girls in Mrs. Fronko's class in its simplest form, we will start with the ratio given, which is 6 boys for every 8 girls. This can be written as 6:8. To simplify ratios, we divide both sides of the ratio by the greatest common divisor. In this case, the greatest common divisor of 6 and 8 is 2. Therefore, we divide both numbers by 2 to find the simplest form of the ratio.
6 ÷ 2 = 3 and 8 ÷ 2 = 4.
After dividing both numbers by 2, the ratio becomes 3:4. This indicates that for every 3 boys, there are 4 girls in Mrs. Fronko's class, and this is the simplest form of the ratio.
Please answer this correctly
Answer:
Emmett
Step-by-step explanation:
Kira is younger than Nila
So Nila>Kira
Nila is older than Mike and Mike is older than Kira
Nila>Mike>Kira
Nila is younger than Emmett
Emmett>Nila>Mike>Kira
Answer:
Emmett is older
Nila is older than Kira.
Nila is older than Mike.
Nila is younger than Emmett.
Therefore, Emmett is older than Nila.
And if Nila is older than Kira, and Emmett is older than Kira, Emmett is oldest.
write 0.3232323232... as a fraction
write 2.555555... as a mixed number
Answer: I believe first one is 32/99 and the second one is 2 whole numbers and 5/9
Step-by-step explanation:
The number 0.323232... can be written as a fraction 32/99, while the number 2.55555... can be written as the mixed number 2 5/9.
To write 0.323232... as a fraction, you can use the method for converting repeating decimals to fractions. Let's say X = 0.323232... Then 100X = 32.323232..., and subtracting the first equation from the second gives 99X = 32, or X = 32/99.
For the number 2.55555..., we will have our whole number as '2' and we need to convert .55555... into a fraction. Let's use the same method: if Y = .55555..., then 10Y = 5.55555.... Subtracting these gives 9Y = 5, which simplifies to Y = 5/9. So, 2.55555... as a mixed number is 2 5/9.
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Help me please I don’t understand
Answer:
She stopped to rest for 45 minutes.
Step-by-step explanation:
It's where the line is straight. What's the second question?
Answer:
0.75 (45 mins) for both
Step-by-step explanation:
It's because the rest is the time where no activity is happening (the straight line). That line when measured from its start to end is mins 45 to mins 90, and when subtracted, gives 45 mins. For the initial ride it is from where the line moves upward until it stops. That goes from mins 0 to mins 45 ad when subtracted gives 45 mins.
Is 73 rational or irrational
Answer:
it's rational
Answer:
rational.
Step-by-step explanation:
If it can be written as a fraction it is rational. If it cannot be written as a fraction it is irrational.
Use rounding to estimate $6.79 − $3.95 to the nearest half-dollar.
A : $ 3.50
B : $ 3.00
C : $ 4.00
D : $ 4.50
B, i honestly just subtracted them... and got $2.84 and rounded up to $3.00
Answer:
B : $ 3.00
Step-by-step explanation:
Round $6.79 to $7.00 and round $3.95 to $4.00 then do $7.00 - $4.00 = $3.00. You get the answer of B : $ 3.00
Jim believes he will receive 50 pieces of candy for Halloween. If Jim actually
received 75 pieces of candy, what is Jim's percent error? Round your answer to
the nearest tenth of a percent.
Write the equation of the line in either point-slope form or slope-intercept form.
Write the equation of a line that has a slope of -3 and passes through the point (1.25, -4).
Use the drop-down menus to select the appropriate values in the equation.
25 POINTS!
Answer:
the answer is y = -3x + ( -0.25)
Step-by-step explanation:
The equation of a line with a slope of -3 passing through the point (1.25, -4) can be derived by using the point-slope form (y - y1 = m(x - x1)). Substituting the given values, we get the line's equation as y = -3x - 0.25.
Explanation:The given problem requires us to write the equation of a line in either point-slope form or slope-intercept form. We are provided with a bit of information to get started: the slope of the line (-3) and a point the line passes through (1.25, -4).
The point-slope form of a line's equation is: y - y1 = m(x - x1), where (x1, y1) are coordinates of a point on the line and m is the slope. Substituting the given values, we get y - (-4) = -3(x - 1.25), which simplifies to y + 4 = -3x + 3.75. Finally, rearranging, we get the slope-intercept form: y = -3x - 0.25.
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Sis I can’t do math... this has to be 20 characters so soosksksksdmksjsjdjdsjdj
Answer:
45mph.
15 x 3 = 45
20 x 3 = 60
so 60 ÷20 = 3
15 × 3 = 45
since 1 hour is 60 minutes
60 divided by 20 is 3
And 15 miles in 20 minutes times 3 is 45 miles in one hour
As Laura's mother rushed off to work, she quickly gave Laura some instruct
me, try my cell ... if I don't answer it means I'm in a meeting, but don
neaps I'm in a meeting, but don't worry, the meeting
won't last more than 30 minutes and I'll call you back when it's over." Later than
needed her mother, but her mother was stuck in a meeting and couldn't answer ih
Laura concludes that she will have to wait no more than 30 minutes before she gete
from her mother. What law of logic did Laura use to draw this conclusion?
Answer:
I don't actually know the answer to this question please
what is the answer to number 16
Answer:
b ≈ 13.80 in
Step-by-step explanation:
Since the triangle is right use the tangent ratio to solve for b
tan17.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{AC}{43.21}[/tex]
Multiply both sides by 43.21
43.21 × tan17.71° = AC, hence
AC = b ≈ 13.80 ( to 2 dec. places )
which aet of processes must occur to form soil
Answer:
Step-by-step explanation:
To form soil, the two processes which must occur are erosion and weathering, so the correct answer here is B. Soil formation is a continuous process, but also one which takes a long time. It can sometimes more than five hundred years for 1cm of soil to form.
The formation of soil is a complex process that involves various physical, chemical, and biological processes acting over long periods of time.
Some of the key processes involved in soil formation include:
1. Weathering: Weathering is the breakdown of rocks and minerals into smaller particles due to exposure to physical, chemical, and biological agents such as water, wind, temperature fluctuations, plant roots, and microorganisms.
2. Erosion and Transportation: Once rocks and minerals are weathered, the resulting particles are transported by agents such as water, wind, ice, and gravity. Erosion refers to the movement of soil particles from one place to another, while transportation involves the movement of these particles over long distances.
3. Deposition: Deposition occurs when transported soil particles settle out of suspension and accumulate in a new location. Deposition can occur in various environments, such as river deltas, floodplains, glacial moraines, and coastal areas.
4. Organic Matter Accumulation: Organic matter, derived from decaying plant and animal remains, accumulates on the soil surface or mixes with mineral particles. Organic matter plays a crucial role in soil fertility, structure, and nutrient cycling.
Round 17139.554963 to the nearest whole number.
menurut whole number.
Answer:
17140
Step-by-step explanation:
The number in the tenths place is 5 or higher so you need to round it up to 17140.
Answer:
17140
Step-by-step explanation:
If the number in the tenths place is 5 or more, round the number up.
200 principal, 4% compounded annually for 5 years
[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$200\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=200\left(1+\frac{0.04}{1}\right)^{1\cdot 5}\implies A=200(1.04)^5\implies A=243.33058048[/tex]
Mr.still's class has musuc for 50 minutes and then independent reading for 20 mins Music start 8:30. What time does Mr.Still's class finish independent reading
Answer:
Mr. Still finish independent reading at 9:40
Step-by-step explanation:
Mr.still's class has music for 50 minutes and then independent reading for 20 mins Music start 8:30
Music starts at 8.30 and it goes for 50 minutes
8:30 + 50 minutes is 9:20
After music , independent reading for 20 mins
So we add 20 minutes with 9:20
9:20 + 20 minutes is 9:40
So , Mr. Still finish independent reading at 9:40
What is the function equation for the input/output table?
x y
8 4
12 8
14 10
17 13
These are the choices
y = x/2
y = x + 4
y = x - 4
y = 2x
Answer:
y = x - 4
Step-by-step explanation:
If you look at it, you can see that 8 - 4 is 4
12 - 4 = 8
14 - 4 = 10 and
17 - 4 = 13
The solution is, y = x - 4 , is the function equation for the input/output table.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
given that,
x y
8 4
12 8
14 10
17 13
In order to solve, we replace the values of x in the functions in at least two points, we then compare if the answers correspond with the y-components. From this, we will have that the function that models the table is:
y = x - 4
The table looks like this:
x = 8 => y = 8-4 = 4
x = 12 => y = 12 - 4 = 8
x = 14 => y = 14 - 4 = 10
x = 17 => y = 17 - 4 = 13
Hence, The solution is, y = x - 4 , is the function equation for the input/output table.
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Mr. Yueng graded his students’ math quizzes.
Students came up with four different answers when solving the equation x3 = 22.
Which answer is correct?
A. x=22 3
B. x=22−−√3
C. x=±22−−√3
D. x=22−−√
For this case we must solve the following equation:
[tex]x ^ 3 = 22[/tex]
If we apply cubic root to both sides of the equation, then we eliminate the exponent on the left side:
[tex]\sqrt [3] {x ^ 3} = \sqrt [3] {22}\\x = \sqrt [3] {22}[/tex]
That is the exact solution of the equation. Its decimal solution is given by:
[tex]x = \sqrt [3] {22} = 2.8020[/tex]
ANswer:
The solution to the equation is [tex]x = \sqrt [3] {22} = 2.8020[/tex]
Option B. x = [tex]\sqrt[3]{22}[/tex] is the correct answer, by solving x³ = 22, where we found the cube root of 22. Other options are incorrect.
We will determine a number that, when raised to the power of 3, equals 22.
Option A: x = [tex]22^{3}[/tex] is incorrect because this represents 22 cubed, not the cube root of 22.Option B: x = [tex]\sqrt[3]{22}[/tex] is correct because it accurately represents the cube root of 22.Option C: x = ± [tex]\sqrt[3]{22}[/tex] is incorrect because cube roots can include negative values, but in the context of this problem we are looking for a single, positive value.Option D: x = [tex]\sqrt{22}[/tex] is incorrect because this represents the square root of 22, not the cube root.Therefore, the correct choice is option B. x = [tex]\sqrt[3]{22}[/tex]
Corrected question:
Mr. Yueng graded his students’ math quizzes. Students came up with four different answers when solving the equation [tex]x^{3}[/tex] = 22.
Which answer is correct?
A. x = [tex]22^{3}[/tex]
B. x = [tex]\sqrt[3]{22}[/tex]
C. x = ±[tex]\sqrt[3]{22}[/tex]
D. x = [tex]\sqrt{22}[/tex]
Simplify the expression by combining like terms.
4b + 9b + 5b-6=
4b + 9b + 5b-6
do 4b+9b first
4b+9b=13b
13b+5b=18b
Answer:
18b-6 or -6+18b
What is the equation of the line passing through the points (–2, 2) and (3, –1)
Answer:
3x + 5y = 4 or y = -⅗x + ⅘
Step-by-step explanation:
First, find the Rate of change [Slope]:
-y₁ + y₂\-x₁ + x₂ = m
-2 - 1\2 + 3 = -⅗
Apply the Point-Slope Formula, y - y₁ = m(x - x₁), since we are given points. It does not matter which one you choose. NOTE: All negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs:
y + 1 = -⅗(x - 3)
y + 1 = -⅗x + 1⅘
- 1 - 1
_________________
y = -⅗x + ⅘ >> Line in Slope-Intercept Form
If you want it in Standard Form:
y = -⅗x + ⅘
+⅗x +⅗x
____________
⅗x + y = ⅘ [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]
5[⅗x + y = ⅘]
3x + 5y = 4 >> Line in Standard Form
__________________________________________________________
y - 2 = -⅗(x + 2)
y - 2 = -⅗x - 1⅕
+ 2 + 2
________________
y = -⅗x + ⅘ [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]
5[⅗x + y = ⅘]
3x + 5y = 4 >> Line in Standard Form
I am joyous to assist you anytime.
** You see? I told you it did not matter which ordered pair you choose because you get the EXACT SAME RESULT. :]
2. To get to the semi finals, a dancer has to score at least an average of 8 points. There are 4 judges in the
competition. The first three judges gave the dancer 8.9 points, 7.1 points and 8.3 points. What is the lowest
score 4th judge can give this dancer in order for her to move to the semi finals? Show all your work and justify
all your steps. You will not receive credit unless you justify the step. Please be sure to answer the question.
Answer:
The lowest score 4th judge can give this dancer in order for her to move to the semi finals is 7.7.
Step-by-step explanation:
Let x points be the score that 4th judge gave to the dancer.
The first three judges gave the dancer 8.9 points, 7.1 points and 8.3 points.
In total, the dancer got
[tex]8.9+7.1+8.3+x=24.3+x[/tex] points
The average score is
[tex]\dfrac{24.3+x}{4}[/tex]
This average score must be at least of 8 points, so
[tex]\dfrac{24.3+x}{4}\ge 8\\ \\24.3+x\ge 32\\ \\x\ge 32-24.3\\ \\x\ge 7.7[/tex]
The lowest score 4th judge can give this dancer in order for her to move to the semi finals is 7.7.
Please help ASAP! If you could as well explain your answer or show how you found the answer that would be great!!! Find the monthly payment needed to amortize principal and interest for the fixed-rate mortgage. Use either the regular monthly payment formula or the given table.Loan Amount $43,500 Interest Rate 2.4% Term 5 years
what is 2^√(3) answer fast an step by step ,please?
Answer:
2 √2
Step-by-step explanation:
2^√(3) = {(2)³}¹/²
= (8)¹/² = √8
= √2 * 2 *2 = 2 √2
Maya has 3 times as many dimes as nickels. She has 4 more quarters than nickels. if she has a total of $9.40, how many of each type of coin does she have?
Answer: nickels = 14, dimes = 42, quarters = 18
Step-by-step explanation:
Let n represent nickels which has a value of $0.05
Let d represent dimes which has a value of $0.10
Let q represent quarters which has a value of $0.25
It is given that:
n = n
d = 3n
q = n + 4
and their total value is $9.40 ⇒ n + d + q = $9.40
Use substitution to find the quantity of nickels:
.05(n) + .10(3n) + .25(n + 4) = 9.40
5n + 10(3n) + 25(n+4) = 940 multiplied by 100
5n + 30n + 25n + 100 = 940 distributed
60n + 100 = 940 added like terms
60n = 840 subtracted 100
n = 14 divided by 60
n = 14
d = 3n
= 3(14)
= 42
q = n + 4
= (14) + 4
= 18
This equation graphed
I answered this question already.
9x+11y=-14
6x-5y=-34
Resolver por regla de cramer
Answer:
x=-4 y=2
Step-by-step explanation:
y=-14-9x÷9
6x-5 (14-9x÷9)=-34
6x-(70+45x÷9)=-34
Take LCM
and then do it
0.03 x 5=
How is this solved?
Answer: 0.15
Step-by-step explanation:
Multiply 0.03 by 5.
Answer:0.15
Step-by-step explanation:
First multiply 3 and 5. Then you will get 15. In the question it says 0.03 and its 2 digit from decimal so in 15 you will put a decimal 2 digit from the left and you will get 0.15
Ms. Thornton's class visited five freshwater lakes to learn more about the crocodiles and alligators living in them. The class counted the number of species in each lake as shown in the table.
Lake Crocodiles Alligators
A 4 5
B 21 35
C 3 9
D 6 16
E 24 30
The relationship between the number of crocodiles and the number of alligators is not proportional across all lakes. Only two of the lakes have crocodiles and alligators in the same proportion. Which two lakes are they?
A.
lake A and lake B
B.
lake B and lake C
C.
lake A and lake E
D.
lake C and lake D
Answer:
It's C. If you divide them you get 1.25 for both of them and its proportional
Mr. Smith donated $378 to 2 charities. Charity A received 5 times as much as Charity B. How much did Charity B received from Mr Smith?
Answer:
$63
Step-by-step explanation:
let x represent Charity B then Charity A = 5x
Sum the two and equate to 378, that is
x + 5x = 378
6x = 378 ( divide both sides by 6 )
x = 63
Thus Charity B received $63
a salesman receives a salary rs 1000 per month and 10%commission on sales in excess of rs 5000.what is the amount of sales if he earns rs.2000. in a particular month
Answer:
Amount of sales = rs 10,000.
Step-by-step explanation:
He earns 2000 - 1000 = rs 1000 from sales.
This equals 10% ( = 0.10 as a fraction) of his sales so his sales must have been 1000 / 0.10
= rs 10,000.
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In the lab, Tom has two solutions that contain alcohol and is mixing them with each other. He uses 500 milliliters less of Solution A than Solution B. Solution A is
14% alcohol and Solution B is 20% alcohol. How many milliliters of Solution B does he use, if the resulting mixture has 440 milliliters of pure alcohol?
Answer:
22 milliliters
step by step
solution B x 22
20 x 22 = 440 milliliters
Final answer:
Tom uses 1,500 mL of Solution B. By setting up equations using the volume percentage of alcohol in each solution and solving for 'x', the volume of Solution A, we find the required volume for Solution B.
Explanation:
To solve for the volume of Solution B that Tom uses, we first establish the equations based on the information given. Let's denote the volume of Solution A as x mL. Thus, the volume of Solution B will be x + 500 mL. The total amount of pure alcohol in the final mixture is 440 mL.
Using the volume percentage for alcohol content in each solution, we can set up two equations to find x. The first equation is based on Solution A (14% alcohol) and the second on Solution B (20% alcohol):
The total volume of alcohol combined from both solutions is equal to 440 mL, which gives us the equation:
0.14x + 0.20(x + 500) = 440
Solving for x we get:
Since x is the volume of Solution A and we know that Solution B is 500 mL more than Solution A, we calculate the volume of Solution B as follows:
x + 500 = 1,000 + 500 = 1,500 mL
Therefore, Tom uses 1,500 mL of Solution B.