Answer:
20.8333333
Step-by-step explanation:
6 x 20.8333333 = 125
Graph the line that passes through the points (-5,2) and (6,2) and determine the equation of the line.
Answer:
y = 2
Step-by-step explanation:
....................
2 points 5. What property is used to get from Step 1 to Step 2? * Step 1 : 28x + 10 = 66 Step 2: 28x = 56
Answer: subtraction property of equality
Step-by-step explanation:
If a, b and c are positive integers for which (a,b,c) is the only
ordered triple such that 6a +9b + 20c = 61, then what is
a+b+c?
If a, b, and c are all positive integers and 6a + 9b + 20c = 61, then right away you know c < 3, because if c = 3, then 20c = 60, and there are no solutions for a and b.
So consider two cases:
• If c = 2, then we're left with 6a + 9b = 21.
• If c = 1, then 6a + 9b = 41.
We have gcd(6, 9) = 3, but 41 is prime and 3 does not divide 41. So we throw out the second case.
This leaves us with 6a + 9b = 21. Notice that if a = b = 1, then 6a + 9b = 15. Add 6 to both sides to get 21. So a = 2, b = 1, and c = 2, and hence a + b + c = 5.
Which number line shows 1/3 and its opposite
is 13.48 irrational or rational?
Answer:
It is irrational
Step-by-step explanation:
Rational numbers do not have decimals.
Mr. Clopu buys an 18-month CD that pays 434% simple interest for $5,000. Find the value of the CD at the end of its term.
Answer:
FV= $5,325.8
Step-by-step explanation:
Giving the following information:
Mr. Clopu buys an 18-month CD that pays 4.34% simple interest for $5,000.
To calculate the future value, we need to use the following formula:
FV= (P*r*t) + P
P= $5,000
r= 0.0434/12= 0.00362
t= 18
FV= [(5,000*0.00362)*18] + 5,000
FV= $5,325.8
The value of the CD at the end of its term is $39,060
Given:
Time = 18 month
Principal = $5000
Interest rate = 434%
Future value = ?
Future value = Principal × Rate × Time
= 5,000 × 434% × 18
= 5000 × 434/100 × 18
= 5000 × 4.34 × 18
= 39,060
Therefore, the value of the CD at the end of its term is $39,060
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The grandpapa car traffic function is shown check although following statements are true of the function
Eliza walked 1 1/2 miles in 2/3 of a hour. what is her walking rate in miles per hour?
Deandre pays $15.20 for a pack of 8 towels.
Find the unit price in dollars per towel.
If necessary, round your answer to the nearest cent.
Please help
Answer: Each towel costs $1.90
Step-by-step explanation:
$15.20 divided by 8 = $1.90
Write the slope-intercept form of the equation for
each graph described.
Line passing through (-2,-8) and (9,-8)
Answer:
y=-8
Step-by-step explanation:
First find the slope which is rise over run which equals (y2-y1)/(x2-x1)
(-8-(-8))/(9-(-2))
(-8+8)/(9+2)
0/11
slope = 0
Now you have the slope of 0. You can plug in one of the given point (x,y) to find b
-8=0(9)+b
-8=b
Combine everything
y=0x-8
y=-8
emilio worked for 19.5 hours he earned 497.25 how much did he earn per hour?
Answer:
25.5 per hour
Step-by-step explanation:
497.25/19.5
Answer:
497.25 devided by 19.5= $25.5 per hour
Step-by-step explanation:
PLSSSS HELLPPPP MEEEEEEE ASAPPPP I WIILL GIVE BRAINLIEST!!!!!!!!! PLS SHOW WORK STEP BY STEP
Answer:
y = -3x + 3
Step-by-step explanation:
Slope = -3
y-intercept = 3
Substitute values into slope intercept form :
y=mx + b
Where :
m= Slope
b = y-intercept
[tex]y = - 3x + 3[/tex]
Solve the literal equation xy - 4xz = 5 for x.
X=
Answer:
x = 5/(-4 z + y)
Step-by-step explanation:
Solve for x:
x y - 4 x z = 5
Hint: | Write the linear polynomial on the left-hand side in standard form.
Collect in terms of x:
x (-4 z + y) = 5
Hint: | Solve for x.
Divide both sides by -4 z + y:
Answer: x = 5/(-4 z + y)
3.A normal bus carries x passengers.
A large bus will carry twice as many passengers than the normal bus
A small bus will carry 8 passengers less than the normal bus.
Altogether the buses carry 128 passengers.
(a) Form a simplified equation in terms of x
Answer: A) 4x -8 = 128
Step-by-step explanation:
We will represent the amount that the normal bus carries by n= x
We will represent the amount that the large bus carries by l = 2x
We will also represent the amount that the small bus carries by s = x-8
Now add them to equal to 128.
x + 2x + x -8 = 128
4x -8 = 128
How do you do this question?
Answers:
[tex]\displaystyle \lim_{n \to \infty} \frac{a_n}{b_n} = 6[/tex]
Based on the limit comparison test, the series is convergent
========================================================
Explanation:
As n gets really large, the terms [tex]3^n[/tex] and [tex]3^n-2[/tex] are effectively the same. Taking the limit to infinity of the ratio leads to 1.
In other words,
[tex]\displaystyle \lim_{n \to \infty} \frac{3^n}{3^n-2} = \lim_{n \to \infty} \frac{3^n}{3^n} = 1[/tex]
That -2 doesn't really play a role when n gets very large.
This result is then multiplied by the 6 in the [tex]a_n[/tex] sequence, getting 6 as the final limit we want.
So,
[tex]L = \displaystyle \lim_{n \to \infty} \left(a_n \div b_n\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \div \frac{1}{3^n}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6}{3^n-2} \times \frac{3^n}{1}\right)\\\\\\L = \displaystyle \lim_{n \to \infty} \left(\frac{6*3^n}{3^n-2}\right)\\\\\\[/tex]
[tex]L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n-2}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} \left(\frac{3^n}{3^n}\right)\\\\\\L = \displaystyle 6*\lim_{n \to \infty} (1)\\\\\\L = \displaystyle 6*1\\\\\\L = \displaystyle 6\\\\\\[/tex]
Since the limiting value is positive and not infinity, this means that both series [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] converge or they both diverge.
----------------------------
If we plug n = 2 into the [tex]b_n[/tex] sequence, we get
[tex]b_n = \frac{1}{3^n}\\\\b_2 = \frac{1}{3^2}\\\\b_2 = \frac{1}{9}[/tex]
The first term is a = 1/9
If we plugged n = 3, we would get [tex]b_3 = \frac{1}{27}[/tex]
This shows that the common ratio is r = 1/3
Because -1 < r < 1 is true, we know that the infinite geometric series converges. Therefore, [tex]\sum b_n[/tex] converges. We don't need to find the converging value.
Going back to the limit comparison test, we stated that both [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex] either diverge together or converge together.
We've shown that the b series converges, so the 'a' series must converge as well.
(6-x3)5=45 Please help
is this correct or not
Answer:
yes it is u did a good job
g A circle is a special case of an ellipse. Explain how a circle is different from other ellipses.
Answer:
Main difference between circle & ellipse
Step-by-step explanation:
Circle is a line forming a close loop, all points on the loop line are at equal distance from the centre, that distance is called Radius. Eg : Wheel
Ellipse is also a close loop line, such that distance of locus of all points on the plane to two fixed points (foci) always sum up to same constant. Eg : Orbits of planets
Cricle is the round shape entity in which it contains only radius and double of radius is diameter Thus below explanation is the answer to the Question
Explanation:
Cricle is the most rounded shape. Its different from ellipse because it has the radius, chord and diameter.cricle can be drawn easily with compass and ellipse is oval shape.cricle contains two types perimeter cricle and normal cricle. Ellipse has also two types partial ellipse and normal ellipse.Cricle does not have major and minor axis length both are different.Thus we conclude that cricle is totally different from ellipse
To know more about cricle and ellipse
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Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
left over. How many pencils were in each package? Use the drop-down menus to solve the
problem arithmetically and algebraically.
He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.
Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.
To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.
To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.
Each package contained 12 pencils.
Hope this helps
Find the distance between each pair of points in the coordinate plane.
(3,-2) and (2,-1)
Answer:
1.41
Step-by-step explanation:
Which of the following cities does NOT rely on lumber for its economy?
A taxi cab in Myrtle Beach charges $2 per mile and $1 for every person. If a taxi cab ride for two people costs $12 how far will the cab travel?
Answer:
5 miles
Subtract the 1 dollar for each person from 12. You get ten, and divide ten by two, which is 5
Jared bought a cell phone for $42, Juanita spent 1 1/2 times as much how much did she spend
answer:
Juanita spent 1 1/2 times as much as Jared, how much did she spend?
$63
explanation:
one and a half of 42 is: 63
so,
the answer is Juanita spent $63!
Juanita paid $63 for the phone, which is equal to 3/2 of what Jared paid while buying the phone.
What is the definition of a mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.How are mixed fractions written?Follow these procedures to convert an incorrect fraction to a mixed number:
Subtract the denominator from the numerator. The quotient's whole number component should be written down. Write the leftover amount on top of the original denominator.Given: Jared spent $42 on a cell phone.
We need to determine 1 and 1/2 which is 3/2 of total amount spent by Juanita.
So,
42(3/2) = $63
Therefore, Juanita spent $63 which is 3/2 amount spent by Jared in buying the cell phone.
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I don’t understand what this means
Answer:
This means that if you have that amount of those and you do whatever the rest of the question is.
Step-by-step explanation:
Answer:
120 different ways
Step-by-step explanation:
So Fundamental Counting Principle helps understand probability. So for this question, they are asking how many different ways there are.
To do that, we have to split into sets.
Set A: 4 Theme Parks
Set B: 6 Passes
Set C: 5 Food Options
Now we have to multiply the sets.
4 x 6 x 5 = 120
Therefore, the answer is 120 different ways.
if you can help i’d appreciate it
Answer:
B- 44
Step-by-step explanation:
87.5 divided by 2 is 43.75. Since it's a square wall, the length and height are both the same, and since length times height is area, if you divide the area by two, you can get a length of one of the sides. Out of all the answers, 44 is the closest to 43.75.
hope this helped! -brooke :))
Where is the vertex of f(x) = -2x - 3| +6.4?
PLZZ ANSWER THE QUESTION
Answer:
c
Step-by-step explanation:
y = mx + b
”m” is the slope, so the slope is -2
”b” is the y - intercept, so the y - intercept is (0 , 1)
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15 men can dig a ditch in 10 days, how many day
Will 10men take working at the same rate
Answer:
If 10 men dig a ditch in 12 days .
Total man-days required to dig the ditch
= 10 men × 12 days
= 120 man-days
how long would 15 men take to dig it?
No of days required to finish the job by 15 men
= 120 men-days / 15 men
= 8 days
Answer: 8 days will be required to finish the job by 15 men
Step-by-step explanation:
Hope this helps u
Crown me as brainliest:)
There are 16 boys and 20 girls in a class. What part of the class is boys? What part girls?
Answer:
girls 4/9 or (Decimal: 0.444444) percent is 44.4%
boys 5/9 or (Decimal: 0.555556) percent is 55.5%