Answer:
Step-by-step explanation:
Multiply the numerator by the reciprocal of the denominator.
251
300
= 56
How do you convert a fraction into percentage?To write the fraction as the % we 1st need to write it as a fraction out of 100.We write the fraction out of 100 by using equivalent fractions.This means that we must multiply numerator. The number on above of the fraction.We can 1st multiply the top or bottom of the fraction 4 / 5 by 2.
Any number can be converted to fraction if you use one for the denominator:
84/1
Therefore now that we've converted 84 into the fraction, to work out the lowest term, we put the fraction 2/3 side by side with our new fraction, 84/1 so that we should multiply those 2 fractions.
all you need to do is convert the whole number into the fraction or then multiply the numerators or denominators :
2 x 84 / 3 x 1
= 168 / 3
In this situation, our new fraction shall actually be the simplified down further. To do that, we want to find the greatest common factor of those numbers.
We can now sum both the new numerator or the denominator by the three to simplify this fraction down to its lowest terms.
168/3 = 56
3/3 = 1
When we put that together, we could see that our complete solution is:
56/1
= 56
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Cassandra Lu earns $433.21 a week. The Social Security tax rate is 6.2% of
gross pay. The Medicare tax is 1.45% of gross pay. How much are her paycheck
deductions this week for Social Security and Medicare tax?
A.$33.99
B.$33.14
C.$34.43
D.$35.25
Work Shown:
Social Security = 6.2% of 433.21 = 0.062*433.21 = 26.86
Medicare = 1.45% of 433.21 = 0.0145*433.21 = 6.28
Add up those results to get 26.86+6.28 = 33.14
To graph an exponential, you need to plot a few points, and then connect the dots and draw the graph. Where do you
come up with values to use in the graph?
a T-chart using positive real numbers
T-chart using all real numbers
b T-chart using negative real numbers
d. T-chart using random values for x and y
C.
Please select the best answer from the choices provided
S.
Answer:
answer
Step-by-step explanation:
d becuase i it is
d. T-chart using random value of x and y.
What is an exponential function ?An exponential function is where the exponent or the power of a given number(base) is the independent variable.
According to the given question we have to graph an exponential function.
Assuming the exponential function to be eˣ.
To plot this exponential function eˣ we take some negative real nos. and some positive real nos. we can also take fractional values also we can take any rational no. and even imaginary nos.
At x = 0 the function eˣ will be 1. It is a good place to stat sketching the graph.
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3.
If the second and the seventh terms of a geometric progression are 6 and 1458
respectively, find the first term.
Answer:
steps below
Step-by-step explanation:
aₙ = a₁ * rⁿ⁻¹
a₁ * r²⁻¹ = 6
a₁ * r = 6 ... (1)
a₁ * r⁵ = 1458 ... (2)
(2)/(1) : r⁴ = 243 r = ±3 [tex]\sqrt[4]{3\\}[/tex]
if r = 3 [tex]\sqrt[4]{3\\}[/tex]
[tex]a_{1} = 6 / 3\sqrt[4]{3} \\a_{1} = \frac{2}{3} \sqrt[4]{27}[/tex]
if r = -3 [tex]\sqrt[4]{3\\}[/tex]
[tex]a_{1} = -\frac{2}{3} \sqrt[4]{27}[/tex]
The first term of the geometric progression is 256.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
We have,
Let the first term of the geometric progression be denoted by 'a', and let the common ratio be denoted by 'r'.
According to the problem, the second term is 6, so we have:
ar = 6 ...(1)
Similarly, the seventh term is 1458, so we have:
[tex]ar^6[/tex] = 1458 ...(2)
We can use equation (1) to solve for 'r', and then substitute the value of 'r' into equation (2) to solve for 'a'.
From equation (1), we have:
r = 6/a
Substituting this into equation (2), we get:
[tex]a(6/a)^6[/tex] = 1458
Simplifying the right side of the equation, we have:
[tex]6^6[/tex] = 1458a
Solving for 'a', we get:
a = [tex]6^6[/tex]/1458 = 256
Therefore,
The first term of the geometric progression is 256.
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On Wednesday, Mirella hands out flyers to 9 people. On Thursday, each person copies the flyer and hands them out to 9 other people. On Friday, these people copy their flyer and hand them out to 9 other people.
How many people received a flyer on Friday?
Enter your answer as a power by filling in the boxes.
Answer:
9^3
Step-by-step explanation:
Hi! I hope this helps:
I got 9^3 because I would have solved this problem by doing 9 x 9 x 9, but since it says to answer as a power, I would say 9^3. (Sorry if I didn't include the explanation of why I got 9 x 9 x 9. It's kind of hard to explain it on here for me.
The number of people who received a flyer on Friday is 729.
Given that,
On Wednesday, Mirella hands out flyers to 9 people.On Thursday, copied each hands them out to 9 other people.On Friday, copied and each hand them out to 9 other people.Based on the above information, the calculation is as follows:
[tex]= 9 \times 9 \times 9[/tex]
= 729
Therefore we can conclude that the number of people who received a flyer on Friday is 729.
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HELPPPPPPPPPPPPPPPpppp
Answer:
C
Step-by-step explanation:
If I had to choose I'd say C since it makes the most sense. A also could be a good answer but I'd say C
Uhhhhh, help?
its math lol
Answer:
Perpendicular
Step-by-step explanation:
20mnx^{2} \frac{x}{y} 50mx^{2} 4nx^{2} 9
Answer: 20m^(2)-9m-20
Step-by-step explanation
CAN SOMEONE HELP ME EVALUATE THE EXPRESSION (4^2-4)+6/2
Answer:
2 × [tex]4x^{n}[/tex]- 1
Step-by-step explanation:
. Write the equation of a line with a y-intercept of 2 and a slope of - Graph the equation 3
Answer:
y=3/4x+2
Step-by-step explanation:
Idont know how to graph on brainly
Write in words 572, 198.
Answer:
five hundred and seventy two, one hundred and ninety eight
Step-by-step explanation:
2014, a toy store sold 12,824 stuffed animals. In 2015, the toy store sold 24,490 more stuffed animals than it did in 2014. The toy store sold the same number of stuffed animals in 2016 as it did in 2015. How many stuffed animals did the toy store sell in 2014, 2015, and 2016 combined?
Answer:
87452
Step-by-step explanation:
not needed
Answer: in 2015 they sold 37,314. In total they sold 87,452 in all three years combined.
Step-by-step explanation:
Suppose that g(x) = f(x) + 6. Which statement best compares the graph of
g(x) with the graph of f(x)?
Answer:
The graph of the function is shifted 6 units above that of the graph of f.
Step-by-step explanation:
Assuming that f and g are functions that map real numbers to real numbers, the graph of f is the set
{f(x) : x in R }
and the graph of g is the set
{g(x) : x in R}
where R is the set of real numbers. Since g(x) = f(x), the graph of g is then
{f(x) + 6 : x in R}.
One taxi company
charges $5 just to
stop, and $0.8 per
mile after that.
Another taxi company
charges $11 just to
stop, and $0.6 per
mile after that.
For _____miles the
two companies will
cost the same.
What is the recursive formula for this sequence?
10, 14, 18, 22, 26,...
O A. (
= 4
len = 2n-1 +10
=
O B.
ay = 30
an = an-1 + 4
=
C.
(ay = 10
lan= any +4
O D.
ſay = 10
Lan = an-1-4
lan
Answer:
[tex]\begin{cases}a_1 = 10\\a_{n+1} = a_n + 4\end{cases}[/tex]
==================================================
Explanation:
The first row [tex]a_1 = 10[/tex] indicates the first term is 10. The small "1" is the index number. That means [tex]a_2[/tex] is next followed by [tex]a_3[/tex] and so on.
To generate the next term, we follow this recursive step: [tex]a_{n+1} = a_n + 4[/tex]
It means "whatever the nth term [tex]a_n[/tex] is, we add 4 to it to get the next term [tex]a_{n+1}[/tex]"
In other words, we add 4 to each term to get the next term.
Eg: 10+4 = 14 and 14+4 = 18
The recursive step could be rewritten as [tex]a_n = a_{n-1}+4[/tex] based on how you frame things.
Simplify the following polynomial expression.
(3x^2 – 1x– 7) - (532 – 4x - 2) + (c+ 3)(x+ 2)
Answer:
cx+3x^2+2c+6x-531
Step-by-step explanation:
Baby Unicorns have a weekly training schedule, flying for 4 hours per day on some days and 2 hours per day on the other days. They fly a total of 24 hours in a seven-day week. On how many days do they fly for 4 hours?
The Baby unicorns fly 4 hours for 5 days and 2 hours for 2 days.
Let x represent the number of days flown 4 hours and y represent the number of days flown 2 hours
Since they worked a total of 7 days, hence:
x + y = 7 (1)
Also, they flew for 24 hours hence:
4x + 2y = 24 (2)
Solving equations 1 and 2 simultaneously gives:
x = 5, y = 2
Therefore they fly 4 hours for 5 days and 2 hours for 2 days.
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What is one sixth of 192?
estimate. Which difference is greater? 1) 11/20 - 1/10. 2) 11/12 - 3/10. 3) The estimated differences are equal
Answer:
Option 2) is greater. 11/12-3/10
Answer:
2.) 11/12 - 3/10
Step-by-step explanation:
1.) 36/60
2.) 37/60
what is c in c/4 = - 9/8 ?
Answer:
c = -9/2
Step-by-step explanation:
0.57356 multiplied by 10 equals______ (with solution)
Answer:
5.7356
Step-by-step explanation:
please mark me as brainlest and
Answer:
0.57356 × 10 = 5.7356
Step-by-step explanation:
in multiplying any decimal to number 10.. the easiest trick to do here is to move the decimal point to the right. since we have number 10 and it has one 0's in it ...
...we only move the decimal point to the right one time!so your answer to your question is 5.7356Which of the following place values would be found to the left of the 1 in 0.01?
1 ones
2 tenths
3 hundredths
4 thousandths
Answer:
tenths
Step-by-step explanation:
Tenths would be the place value found to the left of the 1 in 0.01 because the one is in the hundredths place value. If you move over to the left, it would be the tenths. Hope this helps!
I cant solve this pls help
Answer:
x is element of -1/2 and 2
Step-by-step explanation:
this is the answer
brainlist please
What is the measure of the missing exterior angle?
Answer:
54 degrees
Step-by-step explanation:
The sum of all the exterior angles on ANY convex polygon = 360 degrees
X = 360-47-97-36-88-38
= 54 degrees
Harry cycles 8 kilometres in 30 minutes.
Calculate his average speed, in km/h
Answer:
16km/h
Step-by-step explanation:
average speed = total distance traveled / total time taken
30 min = 0.5 h
8/0.5 = 16km/h
5−14x=15−14x. help me please .........................................................................
A student measured the length of a certain bar as 20 cm, which exceeded the actual length by 10% the actual length of the bar was
Answer:
18cm
Step-by-step explanation:
20/10 = 2cm
So since 2x10 is 20 and it exceeded only 10%, we only subtract 2 from 20 which you leave you with 18cm.
Please help me with this question
Answer:
64%
Step-by-step explanation:
1. First, we must know that the fraction 48/75 represents that out of 75 total fish, 48 of them were trout.
2. Now, let's divide 48 by 75:
48 ÷ 750.643. Lastly, to convert it into a percentage, we must multiply 0.64 by 100:
0.64 × 1006464%Therefore, the answer is 64%.
The record low temperature in Houston for November 12th is -3 degrees. The record high temperature is 83 degrees. What is the difference between the record high temperature and the record low temperature?
Answer:
80 degrees
Step-by-step explanation:
-3 + 83 is the same as 83 -3.
4. A colony of bacteria is growing in such a way that each generation is 2.5 times as large as the previous generation. Suppose there are 450 bacteria in the first generation.
a) Show that nº generation is 180(2.5)^n
b) How many will there be in the fifth generation?
c) What will be the total number of bacteria in the first tenth generations to the nearest integer? [10 marks]
Step-by-step explanation:
I think there are some typos in a)
anyway, this is a geometric sequence.
that means that after a starting value each new term is created by multiplying the previous term by a certain factor.
a)
s1 = 450
factor f = 2.5
so,
s2 = 450×2.5 = 1125
and so on.
from that we see that
sn = 450×(2.5)^(n-1)
and as
450/2.5 = 180
or
450 = 180×2.5
we can "extract" another 2.5 factor from the basic 450.
so,
sn = 180×2.5×(2.5)^(n-1) = 180×(2.5)^n
b)
s5 = 180×(2.5)⁵ = 17,578.125 or rounded 17578
c)
the question is unclear. are the bacteria of previous generations still there, when a new one is generated ?
then the 2.5 factor creates the sum implicitly, and the total number of bacteria in the first 10 generations is simply the 10th term s10.
s10 = 180×(2.5)¹⁰ = 1716613.76953125 = 1,716,614
or is it meant to sum the numbers of each generation (the old bacteria "go away", when the next generation is generated) ?
the sum of the first n terms of such a geometric sequence is
sum = a1×(1 - f^n)/(1 - f)
so, for our first ten terms
sum = 450×(1 - 2.5^10)/(1 - 2.5) =
= 450×-9535.7431640625/-1.5 =
2860722.94921875 = rounded 2,860,723
What percent of students who spent less than 3 hours online are girls?
The percent of students who spend less than 3 hours online that are girls will be 38.24%.
Number of girls that spend less than 3 hours online = 26
Number of boys that spend less than 3 hours online = 42
Total number of students that spend less than 3 hours online = 26 + 42 = 68
Therefore, the percent of students who spend less than 3 hours online that are girls will be:
= 26/68 × 100
= 38.24%
In conclusion, the correct option is 38.24%.
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