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.
1. Describe how to show that triangle PMO = triangle PMN using the SSS Congruence Postulate. Then, without using a protractor, find a way to show that the triangles are congruent using the SAS Congruence Postulate.
Answer:
ayudenle porfa :)
Step-by-step explanation:
porfa
Set up a system of linear equations, and then solve for the indicated quantities.
Three times the smaller of two numbers plus three times the larger number is – 15.
Six times the smaller number minus three times the larger number is – 21.
Find the numbers.
Let x represent the smaller number. Let y represent the larger number.
9514 1404 393
Answer:
smaller: -4larger: -1Step-by-step explanation:
Substituting the given variables into the word problem, we have two equations:
3x +3y = -15
6x -3y = -21
Adding these equations eliminates y:
9x = -36
x = -4 . . . . divide by 9
Using this in the first equation, we have ...
3(-4) +3y = -15
-4 +y = -5 . . . . . divide by 3
y = -1 . . . . . . . . . add 4
The smaller number is -4; the larger is -1.
HELP ME PLEASE 9 3/5 + 8 3/5
Answer:
18 1/5
Step-by-step explanation:
9 3/5 + 8 3/5
We have a common denominator, so add the whole numbers
9+8 = 17
Add the fractions
3/5+ 3/5 = 6/5
17 6/5
We can simplify since we have an improper fraction
17 + 5/5 + 1/5
17+1+1/5
18 1/5
Answer:
18 1/5
Step-by-step explanation:
9 3/5 + 8 3/5=
First we do 9+8 which is 17
3/5+3/5= 6/5
17 6/5
Simplify:
18 1/5
Alice drops a rubber ball from a height of 4 feet. The equation t2=4/16 represents the amount of time, in seconds, it takes for the ball to reach the ground. How long will it take the ball to reach the ground?
A 1/4 second
B 1/2 second
C 2 seconds
D 4 seconds
Answer:
Letter B
Step-by-step explanation:
Answer:
I belive the answer is B
Step-by-step explanation:
Find The Difference.
1)5-15=
2)-13-7=
3)-19-7=
4)36-(-12)=
5)-29-(-11)=
6)-7-(-5)
Answer:
-10
-20
-26
48
40
-2
Step-by-step explanation:
I used a calculator to make sure
Write the ratio in fractional notation in lowest terms.
5 megabytes to 22 megabytes
The ratio is (Type the ratio as a simplified fraction.)
Answer:
99999k
Step-by-step explanation:
kjjuhhhhhhhhhuurdghsex
what number is 1/10 of 8000000
Answer:
800000
Step-by-step explanation:
I mark as brainliest
bernie spends three hours a day on homework. if the spends 3/4 of an hour on science, 3/4 of an hour on social studies, and 1/4 of an hour on english, how much time does bernie spend on math
Answer:
Step-by-step explanation:
Math = 3 - Science - social studies - english
Math = 3 - 3/4 - 3/4 - 1/4
Math = 3 - 1 3/4
Math = 3 - 1.75
Math = 1.25 or 1 1/4
is |-4| equal to |4|?
Answer:
Yes
Step-by-step explanation:
Absolute value measures the distance between the number and 0. The distance between -4 and 0 is 4, and the distance between 0 and 4 is 4. Therefore, they are equal.
Answer:
yes
Step-by-step explanation:
the l l symbol is the absolute value symbol, it counts how far the number is from zero meaning that the outcome is always positive.
In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third is 92° more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180° to find the measure of each angle.
The measure of the first angle is ______
The measure of the second angle is _____
The measure of the third angle is _______
Answer:
The measure of first angle is 44°.
The measure of second angle is 22°.
The measure of third angle is 114°.
Step-by-step explanation:
First, you have to form expressions for the 3 angles. Let second angle be x :
First angle = (2x)°
Second angle = x°
Third angle = (92 + x)°
Next, you have to add up altogether as the total angles in a triangle is 180° :
2x + x + 92 + x = 180
4x + 92 = 180
4x = 180 - 92
4x = 88
x = 88 ÷ 4
x = 22°
Lastly, you have to substitute the x-value into the expressions :
First angle = 2(22) = 44°
Second angle = 22°
Third angle = 92 + 22 = 114°
Give a counterexample that disproves each conjecture below.
1) No triangles have two sides of the same length.
2) No women have been elected U.S. senators.
3) All~basketball players are more than 6 feet tall.
4) If you live in Texas, then youlive in Houston.
5} If it is a cell phone, then it has a touch screen.
6) If x is any number, then x2> 2.
8) If x >_ 0, then x + 2 = 7.
9) If x2 =16 , then x = 4.
10) All figures with four sides of equal length are squares.
11) The square of a number rs largex than the number.
12) If a numbex is prime, then it zs an. odd number.
Answer:
1) No triangles have two sides of the same length.
An isosceles triangle is a triangle that has 2 sides that have a same length.2) No women have been elected U.S. senators.
Dianne Feinstein, a woman-elected senator of California.3) All basketball players are more than 6 feet tall.
Isaiah Thomas is a prime example of a basketball player who has the height of 5'9.4) If you live in Texas, then you live in Houston.
Matthew McConaughey, a born-and-raised Texan star lives in Austin near his mom and other family members.5) If it is a cell phone, then it has a touch screen.
Before smart phones, there were flip phones where the user would have to dial everything to able to use it.6) If x is any number, then x2> 2.
Not sure what you meant.8) If x >_ 0, then x + 2 = 7.
Not sure what you meant.9) If x2 =16 , then x = 4.
Not sure what you meant.10) All figures with four sides of equal length are squares.
Rectangles have longer sides equal in length and their shorter sides equal in length with each other, but is not considered a square.11) The square of a number rs largex than the number.
Not sure what you meant.12) If a number x is prime, then it zs an. odd number.
Not sure what you meantHoped this help!
You should rephrase some of your questions because I have no idea what it's saying.
-Bob Ross
|
1.64 divided by what equals 0.04?
Answer:
41Step-by-step explanation:
1.64 : x = 0.04 ⇒ x = 1.64 : 0.04
1.64 : 0.04 → 164 : 4 = 41
Check:
1.64 : 41 = 0.04
1.64 divided by the number 41 equals 0.04.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
The given numbers are 1.64 and 0.04.
Let the unknown number be x.
1.64 divided by x equals 0.04, that is
1.64/x =0.04
0.04x=1.64
x=1.64/0.04
x=41
Therefore, 1.64 divided by 41 equals 0.04.
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Emilia made fewer than 27 bracelets last week. The variable b represents the number of bracelets. The inequality b less-than 27 describes the number of bracelets that Emilia made. Which could be a solution to the inequality?
26
29
33
40
Answer:
26
Step-by-step explanation:
26 is the only thing less than 27
Answer:
26
Step-by-step explanation:
15. To receive a B in his English class, Nicolas must have an average score of at least 84 on five
tests. He scored 90,91, 79, and 81 on his first four tests. What is the score range he can receive
on his last test and still receive a B in the class?
Answer:
(90+91+79+81+x)/5=84and 341+x=84*5and341+x=420and x=420-341 finally x=79
Solve for f:
f divided by -2/3 = -1/3
Answer:
2/9
Step-by-step explanation:
The following table shows the annual profits for two small florist shops what shop had the greater total profit? How much greater was its profit?
Plz answer ASAP I will mark u brainlyest this is my 5th time asking please answer
Answer:
Shop A & $400
Step-by-step explanation:
-4.7 + 27.5 + 122.3 = $145.1 (Shop A)
-0. 2 + 14.5 + 130.4 = $144.7 (Shop B)
Difference = 145.1 - 144.7 = $0.4
0.4 × 1000 = $400
Write all prime numbers between 10 and 20
Answer:
11,13,17,19
Step-by-step explanation:
Answer:
11 , 13 , 17 and 19
Step-by-step explanation:
good luck :)
On Joe's bookshelf are: • 8 fiction books 3 non-fiction books • 4 historical drama books Joe will randomly choose 1 book to read from the shelf. What is the probability that he will choose a non-fiction book? A)0.267 B)0.8 C)0.2 D)0.533
Answer:
There is a 0.2 chance or 20% change that he will choose a nonfiction book. PLease mark as helpful if it is! thanks
the product of -4 and a number is 36 find the number?
Answer:
32
Step-by-step explanation:
if you add 4- + 36 it's exactly the same as saying 4 - 36 = 32
pls mark brainlest for real :,,(
An experiment consists of determining the speed of automobiles on a highway using a radar equipment. The random variable in this experiment is a:
Answer:
the speed value that the radar equipment outputs.
Step-by-step explanation:
A random variable in an experiment is also (and most times the case) called a dependent variable. In this scenario, the random variable would be the speed value that the radar equipment outputs. This is because this value depends on the actual velocity of the cars that pass by the equipment. The faster the car is moving when it passes the radar the higher value will be displayed on the equipment. Therefore, depending completely on the vehicles.
Ik y’all good at math, help me out yall!
Answer:
i think the answer be 150 feet per minute
hope this is right
Answer:
150
Step-by-step explanation:
use points on the line i'll use (2,300) and (1,150)
m=y2-y1/x2-x1
300-150=150
2-1=1
150/1=150
hope this helps :3
sorry if im wrong
A river has a current of 2km per hour. Find the rate of Fred’s boat in still water if it travels 30 km downstream and the same time it takes to travel 14 km upstream.
Answer:
32km
Step-by-step explanation:
Please help!!!- Find the measure of the angle in bold.
Need help to figure out to solve this.
Answer:
11x-6+(19x+6)=180°
11x+19x-6+6=180°
30x=180
x=180/30
x=6
it means that
19x+6=19*6+6=114+6=120°
Darnell uses 1 1/4 packages of beads to make 10 bracelets. He wants to make 25 bracelets. How many packages of beads will he use?
Answer:
I believe the answer is 3 1/8
Step-by-step explanation:
Since he uses 1 1/4 packages just to make 10, we can start with him making the 20. That would mean he uses 2 1/2 packages. Now all we have left is the 5 in 25. 5 is half of 10 and since you use 1 1/4 to make 10 bracelets, use half of it to make 5. Add up all the package use and you get 3 1/8. This was kinda rushed so I'm not 100% sure, but I'm like 95% sure. Hope this helps!
3¹/₈ packages of beads are required to make 25 bracelets
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Here it is given that :
Darnell uses 1 1/4 packages of beads to make 10 bracelets that is :
1 ¹/₄ = 5/4 packages of beads requires to make = 10 bracelets
Now, divide both side by 10 we get :
to make 1 bracelets = 5/40 = 1/8 packages of beads are required
Now, to find the numbers packages of beads to make 25 bracelets multiply both side by 25 :
to make 25 bracelets = 25/8 = 3¹/₈ packages of beads are required.
Therefore, 3¹/₈ packages of beads are required to make 25 bracelets
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PLEASE HELP!!!!
Drag each tile to the correct box.
Match each savings plan to its description.
401(k)
Roth IRA
403(b)
529 plan
health FSA
a tax-deferred retirement savings plan available to employees of some nonprofit
organizations and educational Institutions
a tax-advantaged college savings plan
an employer-offered retirement account that accepts contributions from
employees and employers
a tax-advantaged savings account available through employers to pay for
qualified medical expenses
a retirement Investment account managed by individuals, deposits are taxable,
but funds are tax exempt when withdrawn at retirement
Answer:
403(b)
529 plan
401(k)
health FSA
Roth IRA
Step-by-step explanation:
I looked it up. Good luck :)
Answer:
401(b)
529 plan
401(k)
health FSA
Roth IRA
Step-by-step explanation:
What is the ratio of daises to all the flowers in the vase?
Answer: Do you have the original ration so we can simplify it then??
Step-by-step explanation:
Question 4
5 pts
4. Cassie has 45 marbles. Abdul has m If Cassie has 9 times as many
marbles as Abdul. Choose the equation that correctly represents the
number of marbles Abdul has.
O 9 x m = 45
O 45 - 9 = m
O C. 9+ m = 45
O D. 9 x 45 = m
Answer:
8 x m = 45
Step-by-step explanation:
cassie has 9 times which means multiplcation so its the first one
the set
of whole number less than 20
Answer:
maybe 3, 6, 9, 12, 15, 18?
Step-by-step explanation:
sorry if this doesn't help but I hope someone else can help you! good luck
Find the LCD of the given rational equation:
Answer:
The correct answer is: D
Step-by-step explanation:
Consider the domain, which in this case x cannot be equal to -4 and -2.
The LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)
How to determine the LCD?The rational equation is given as:
[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{x^2 + 2x - 8}[/tex]
Factorize the denominator of the fraction on the right hand side
[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{(x - 2)(x + 4)}[/tex]
Write out the common factors in the denominator
LCD = (x + 4)(x + 2)(x - 2)
Hence, the LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)
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