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.
Assemble the proof by dragging tiles to the statements and reasons columns
Answer:
Here, I did the assignment. I wish you good luck!
5 + 5 + 5 + 5 + 220+ 30004
Answer:
30244
Step-by-step explanation:
How many hundredths are in one tenth how many thousandths are in one hundredth
Answer:
10 hundredths
Step-by-step explanation:
One-tenth equals 0.1 and one-hundredth equals 0.01, which means that hundredth equals 10 hundredths.
The base of a triangle exceeds the height by 5 yards. If the area is 250 square yards, find the length of the base and the height of the triangle
Answer:
height = 20 yards and base = 25 yards.
Step-by-step explanation:
let the height = x yards.
base = (5 + x) yards.
area = 250 square yards
Area = 1/2 bh
250 = 1/2 × (x)(5+x)
250 × 2 = 5x + x2
500 = x2 + 5x
x2 + 5x - 500 = 0
factorizing:
(x + 25)(x - 20) = 0
x = -25 or 20
but length cannot be negative,
hence x = 20 yards.
height = 20 yards
base = (5 + 20) = 25 yards.
Help!!! ASAP!!!
The sum of the areas of a polyhedron’s face is
A: Its perimeter divide by two.
B: its surface area.
C: its volume
D: non of these
Answer: The sum of the area of it's faces
Step-by-step explanation: its the surafce area.
Jackson spent $3,472 on a new TV. If he paid it off in 16 equal payments, how much was each payment?
A $217
B $237
C $207
D $227
Answer:
A. 217
Step-by-step explanation:
3,472/16 = 217
What is the value of x?
2
5
3
4
the ray XZ is the angle bisector of WXY and m WXY = 125°. Enter m WXZ
please help!! The picture has the question.
Answer:
B.
Step-by-step explanation:
They are used to the climate and they are harder the the rest.
Answer:
dry climate or
Step-by-step explanation:
they are in wet climate
Robert accepted a new job at a company with a contract guaranteeing annual raises.
Robert's salary after working for n years can be determined using the equation
S = 5000n + 60000. What is the slope of the equation and what is its
interpretation in the context of the problem?
Answer:
The slope is 5000, this means that for each additional year Robert works at the company, he earns 5000 more dollars.
Step-by-step explanation:
The slope is 5000, this means that for each additional year Robert works at the company, he earns 5000 more dollars.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Here, given that,
Robert's salary after working for n years can be determined using the equation
S = 5000n + 60000.
Hence, The slope is 5000,
this means that for each additional year Robert works at the company, he earns 5000 more dollars.
To learn more on slope click:
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Siobhan earned $45 babysitting on Friday. On Saturday, she babysat for 5 hours at $4 per hour. On Sunday she bought a DVD for $32. How
much money did she have left after buying the DVD?
$30
Work: 45+20=65
65-35=30
Find the measure of an angle such that the sum of its supplement and four times its
complement is 13° less than twice the angle.
Show work
Answer:
Angle=79°
Step-by-step explanation:
Hope it helps!
Determine the midpoint of the segment with endpoints of (-3, 8) and (-3,
-2).
Answer:
(-3,3)
Step-by-step explanation:
g Regression is a functional relationship between two or more correlated variables, where one or more variables are used to predict a single variable of interest. Group of answer choices True False
Answer:
True
Step-by-step explanation:
In regression analysis, it tries to infer that there is a supposed relationship between two or more variables.
Now it has a couple of functions such as;
It allows us to directly estimate the parameters in linear functions only, although there are some other ways in which it would allow many non - linear functional forms to get estimated indirectly.
Regression also allows us to test and find out if there is a functional relationship between two or more variables. This is done by testing the hypothesis whether each of the slopes have a value of zero.
Thus, from the definitions given, we can see that regression is a basically a functional relationship between two or more variables, where one or more variables are used to predict a single variable of interest.
Thus, the given statement is true.
Select three ratios that are equivalent to 11:1.
Choose 3 answers:
1:11
22:2
55:5
9:99
Answer:
22:2, 55:5, 1:11
Step-by-step explanation:
Answer:
22:2 55:5 and no others
Step-by-step explanation:
need quick aaaaaaaaaaaaa
Answer:
5.0 x 10^4
did the thing this is right
Un comerciante tiene en cartera una letra de 14000 con vencimiento a 2 años y le somete a un descuento bancario 1 año y 8 meses antes de su vencimiento a una taza de 14%anual con capitalización trimestral ¿cuanto recibira el propetario de la letra ?
Answer:
dud
Step-by-step explanation:
fjfn
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vbjjkkkkkkjjjjhcblxkcjl
Wilbur has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. He will randomly select 2 coins from the bag, one at a time, without replacement. What is the probability that Wilbur will select a dime first and then a penny? A) 0.1 B) 0.04167 C) 0.03906 D 0.04444
You measure the mass of a book and it’s 420.0890g how many significant digits are in the measurement
9514 1404 393
Answer:
7
Step-by-step explanation:
All of the digits in the given number are significant. There are 7 significant digits.
__
Comment on other cases
When there are non-zero digits to the left of the decimal point in a number with a decimal point, all of the digits are significant.
When there are no non-zero digits to the left of the decimal point, leading zeros are not significant. All digits following the leading zeros are significant.
In a number with no decimal point, the leading and trailing zeros are not significant.
If the number is written in scientific notation, all digits of the mantissa are significant. (This can be a way to ensure the correct number of significant digits is known in a number with trailing zeros.)
Jesse is driving to a town that is 210 miles away with a speed of 60 miles per hour. If he makes no stops, how long will the trip take?
Answer: The trip should take 3.5 hours.
Step-by-step explanation: To find the time, divide the distance by the rate. In this case, 210/60 = 3.5.
Answer:
3.5 hours or specifically, 3 hours and 30 minutes
Step-by-step explanation:
We know that the car can be driven 60 miles per hour. The goal is 210 miles. If you divide 210 miles by 60, the result is 3.5. The whole number 3 in 3.5 will represent the hours taken which means 3 hours. The 0.5 will also represent the minutes. 0.5 = 1/2, 1/2 of an hour = 30 minutes.
choose the equation below that represents the line passing through the point (-3, -1) with a slope of 4
y = 4x - 11
y = 4x + 11
y = 4x + 7
y = 4x - 7
Answer:
y = 4x +11Step-by-step explanation:
[tex](-3,-1) = (x_1, y_1) \\ m = 4[/tex]
Substitute values into point slope form
[tex]y-y_1 = m(x-x_1) \\ y - ( - 1) = 4(x - ( - 3)) \\ y + 1 = 4(x + 3) \\ y + 1 = 4x + 12[/tex]
Collect like terms and simplify
[tex]y = 4x + 12 - 1 \\ y = 4x + 11[/tex]
Answer:
y=4x + 11
Step-by-step explanation:
y = mx + b
y = 4x + b
-1= 4(-3) + b
b= 11
y= 4x + 11
1. FRUITS Find the ratio of bananas to oranges in the graphic at the right. Write the
ratio in simplest form. Then explain its meaning.
Ratio:
Simplified Ratio:
Explanation:
so what is the answer?
Answer:
999kkk b8llion
Step-by-step explanation:
iiuugghhgvvjhhffffffffffffffggttgggg
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
please help my geometry assginment, brainly if answer properly
Answer:
Please mark me brainliest :) Hope it helps
Step-by-step explanation:
So basically, since CD and AB are parallel, that means that angle2 and angle3 are similar, due to the corresponding angle postulate. Furthermore, it is given that AG and CE are similar, so angle1 and angle2 are similar on the same principle.
This means that angle3 and angle4 are similar, since it is given that angle1 and angle4 are similar. A bisecting line divides a whole angle into two, equal value angles, and since ECF is composed of angle3 and angle4, and angle3 and angle4 are the same value, that means the line that forms angle3 and angle4 is bisecting the ECF, therefore CD bisects ECF.
Line e has a slope of -6/5. Line f has a slope of 6/5. Are line e and line f parallel or perpendicular
Answer:
none of those
Step-by-step explanation:
to be parallel it needs to be the exact slope
to be perpendicular it would f would look like this [tex]\frac{5}{6}[/tex]
60 POINTS BRAINLIES
PLEASE WORKOUT QUESTIONS a b & c
PHOTO OF GRAPH ATTACHED BELOW
a) Calculate the median number of medals for each medal type, stating the formula you would use for determining the median for the gold medals.
b) Calculate the mean number of medals for each of the 3 medal types, stating the formula you would use for determining the mean for the bronze medals.
c) Calculate the standard deviation of the total medals awarded to each country
(column F) using the formula below.
Show all the steps ( show your work ).
USE the STDEV.P function to cross-check your final answer.
Answer:
see below
Step-by-step explanation:
a) median : re-arranged the numbers in order. i.e. min to max
gold: 147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022
212 + 227 = 219.50
2
silver: 147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794
178 + 241 = 209.50
2
bronze: 151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704
193 + 260 = 226.50
2
b) mean : sum of all numbers divide by n, where n=10
gold: = (147 , 147 , 175 , 206 , 212 , 227 , 263 , 275 , 440 , 1022 ) / 10
= 311.40
silver: = (147 , 163 , 165 , 170 , 178 , 241 , 295 , 313 , 357 , 794 ) / 10
= 282.30
bronze: = (151 , 169 , 179 , 187 , 193 , 260 , 289 , 325 , 349 , 704 ) / 10
= 280.60
c) standard deviation on population (STDEV.P)
Australia = 16.44
china = 33.03
france = 19.74
germany = 30.21
great britain = 13.89
hungary = 12.04
italy = 11.44
soviet union = 48.46
sweden = 13.47
united states = 133.84
Maggie claims that there are transformations that preserve the length of the rectangle's sides. Which of the following transformations could be used to support Maggle's claim? Select all that apply.
reflection over the side RS
a translation of 10 units to the right
a rotation of 90' clockwise about vortex Q
a vertical stretch of scale factor 2 through contor C
a dilation of scale factor 1 through conter
Answer: B,D,E. Step-by-Step explanation
Transformation that preserve lengths are rigid transformation.
The options that support Maggie's claim are:
reflection over the side RS a translation of 10 units to the right a rotation of 90' clockwise about vortex QAll transformations are rigid transformation, except dilation.
Dilation are of two types
StretchCompressEither of the two above, do not preserve length
This means that:
Options (d) and (e) will not preserve the lengths of the rectangle, because they represent dilation
Hence, the correct options that will preserve the length of the rectangle are: (a), (b) and (c)
Read more about transformation at:
https://brainly.com/question/13801312
SOMEONE HELP PLZ BRAINLIEST
Answer:
f = 3n = -16h = -10z = 7.5x = 54v = -12[tex]d = -\frac{417}{25}[/tex] w = -27.6t = -5w = 43I hope this helps!
Answer:
F=3
n= -16
h= -10
z =7.5
x=54
v= -12
d= -416÷25
w= -27.6
t= -5
w= 43
Sharon buys a 60" tv for $1,450 plus the sales tax rate, which is 8.25%. what is the total cost of what she paid after taxes. round to two decimal place
Answer:
1,569.625
Step-by-step explanation:
Answer:
Step-by-step explanation:
The total cost of the 60" TV is $1,569.63.
The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
Answer:
I think it might be zero
Step-by-step explanation:
you might want to look into this all the way beforyou trust put it into*