I don't get my question for my homework. Here is the questions, "You have 46 gold coins, 115 diamonds, and 184 rubies. You need to put them in treasure chests, and each chest must contain the same number of each individual item. What is the greatest number of treasure chests you can fill? How many gold coins in each chest? How many diamonds in each chest? How many rubies in each chest? " This is the type of question. There is also one more problem I'm stuck on. "You and some friends took a metal detector to the beach every day for a week to search for coins. You managed to find 246 nickels, 312 dimes, and 204 quarters. When you divided them up, you realized that each person got the same exact amount of each coin with no coins remaining. How many are in your group? How many nickels did each person receive? How many dimes did each person receive? How many quarters did each person receive?" Please help me out! Thanks
Answer:
Question 1
The greatest number of treasure chest you can fill = 23
Step-by-step explanation:
Gold coins = 46
Diamonds = 115
Rubies = 184
To determine the greatest number of treasure chests you can fill, find the highest common factors of 46, 115 and 184
46 = 1, 2, 23, 46.
125 = 1, 5, 23, 115
184 = 1,2,4,8,23,46,92,184
The highest common factors of 46, 115 and 184 is 23
The greatest number of treasure chest you can fill = 23
Number of gold coins in each chest = 46/23
= 2
Number of diamonds in each chest = 115 / 23
= 5
Number of rubies in each chest = 184 /23
= 8
Question 2
Nickels = 246
Dimes = 312
Quarters = 204
Find the highest common factor of 246, 312, 204
246 = 1, 2, 3, 6, 41, 82, 123, 246
312 = 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312.
204 = 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The highest common factor of 246, 312, 204 is 6
How many are in your group?
6 members
There are 6 members in your group that each person got the same exact amount of each coin with no coins remaining.
Number of nickels each person receive = 246 / 6
= 41
Number of dimes each person receive = 312 / 6
= 52
Number of quarters each person receive = 204 / 6
= 34
A slope of -5 that passes through (2,15)
Answer:
y=-5x+25
That is the answe in slope intercept form
common fruction
2/3
[tex]2 \div3 + 4 \div 3[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{2}{3} + \frac{4}{3} = \frac{6}{3} = 2 \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
a
Eight people want to enter an elevator
with a maximum weight capacity of
500 kilograms. Their weights in kilograms
are 81, 97, 69, 75, 74, 96, 86, and 53.
What is their total weight? How many
people should wait?
Step-by-step explanation:
total weight = 81 + 97+69+75+74+96+86+53 = 613kg
2 people will have to wait
Is it Possible for the expression 1+|a| to have a result that is less than 0?
Answer:
No
Step-by-step explanation:
Since a is in absolute value symbols, you would be adding a positive number to 1, and therefore cannot have a number lower than 0.
For example, say a = -3. We would get 1 + |-3| = 4.
Answer:
No
Step-by-step explanation:
Because the vertical lines mean the absolute value of a.
- a negative value of a like -2 in vertical lines has absolute value 2.
If a = 0 then absolute value = 0.
So 1+|a| will always be positive.
Problem 1. 1
Jada paints a circular table that is 30 inches across.
Is the circumference of the circle or the area of the circle
more useful for finding how much paint she needs?
Circumference
Area
How much paint does she need?
square inches
Submit
??? What is it
Answer:
Minor note: A table is circular.In this case, the area is more useful to find out how much the paint covers.
This is, because the circumference is the perimeter of the table whilst the area is the whole region of the table.
So to find out the area of this table, we must use the formula for the area of a regular circle.
A = π[tex]r^{2}[/tex]
Where 'π' represents pi(22/7 or 3.14), and 'r' represents the radius which is being squared.
But, if we see the information that we have, we can see that it gives the diameter and not the radius.
So in order to find out our radius, we must perform 1/2 of the diameter(1/2 x diameter) to find the radi.
30(diameter) x 1/2
= 15 is the radius.
Now we substitute this value into our equation, since it's the only information we need.
A = π[tex]r^{2}[/tex]
A = 3.14(15^2)
A = 3.14(225)
A = 706.5 square inches of paint is needed to cover the table.
what combined length of all buttons longer than 1 inch
Answer:
Combined means to add so you are going to add anything over 1 because it says longer than 1
1 1/4 has 2 marks so you add 1 1/4 + 1 1/4 =
they have like denominators so you can add them together
1 + 1 = 2 and 1/4 + 1/4 = 2/4 which can be reduced to 1/2
so your answer is 2 1/2
Step-by-step explanation:
To swing. Here, ttt is entered in radians. P(t) = -5\cos\left(2\pi t\right) + 5P(t)=−5cos(2πt)+5P, left parenthesis, t, right parenthesis, equals, minus, 5, cosine, left parenthesis, 2, pi, t, right parenthesis, plus, 5 What is the first time the pendulum reaches 3.5\text{ cm}3.5 cm3, point, 5, start text, space, c, m, end text from the place it was released? Round your final answer to the nearest hundredth of a second
Answer:
0.20 seconds
Step-by-step explanation:
Given the function:
For the distance traveled by a pendulum in time [tex]t[/tex]:
[tex]P(t)=-5cos(2\pi t)+5[/tex]
Where [tex]t[/tex] is in radians.
Also, given that [tex]P(t)=3.5\ cm[/tex]
To find:
The time [tex]t[/tex] = ? to the nearest hundredth.
Solution:
Putting the values as per given statements, it can be observed that:
[tex]3.5=-5cos(2\pi t)+5\\\Rightarrow -1.5=-5cos(2\pi t)\\\Rightarrow 0.3=cos(2\pi t)[/tex]
Taking the inverse:
[tex]cos^{-1}(0.3) = 2\pi t[/tex]
[tex]\Rightarrow 2\pi t=72.54^\circ[/tex]
We know that [tex]2\pi\ radians = 360^\circ[/tex]
Putting the value above:
[tex]\Rightarrow 360t=72.54^\circ\\\Rightarrow t = \dfrac{72.54}{360}\\\Rightarrow t =\bold{0.20}\ seconds[/tex]
So, after 0.20 seconds, the pendulum reaches 3.5 cm from the place it was released.
Somebody please help me on multiple step equations with parenthesis.
Answer:
k = 8
Step-by-step explanation:
8(10 - k) = 2k
First, distribute within the parenthesis,
80 - 8k = 2k
Add 8k to both sides of the equation
80 = 10k
Divide both sides by 10 to get your answer
8 = k
I hope this helps :)
Which statements are true when solving x^2=81
Answer:
D.) the solution is 9
Step-by-step explanation:
9x9 = 81
please help me with these simple math please
Answer:
A. 2
----------
3x^3 y^5 z
B. 49k^8 m^6
--------------------
81
C. a^9 b^3
---------------
27c^12
D. -125y^9
--------------
x^6
Step-by-step explanation:
A.
12x^2 y^-4 2
----------------- = -----------
18x^5 yz 3x³y^5z
B.
(9k^2 m)^-2 -81k^-4 m^-2 49k^12 m^8 49k^8 m^6
--------------- = ---------------------- = --------------------- = --------------
(7k^6m^4) -49k^-12 m^-8 81k^4 m^2 81
C.
( 4a² b² )³ 64 a^9 b^6 a^9 b^3
------------------- = ------------------------- = -------------
( 12a^-1 bc^4 )³ 1728 b^3 c^12 27c^12
D.
( -5x^-2 y³ )³ = -125 x^-6 y^9 = -125y^9
---------------
x^6
I hope this helps!
Monica has saved $3500 to open a cupcake shop. She must pay a security deposit of $800 and
$500 each month for rent. How many months will Monica's savings last?
Answer:
4 months
300 off of 5th month
Step-by-step explanation:
$3500-800= 2,700
2,700-500=2,200
4 months or 500 x 4= 2,000
2,000 - 2, 200= 200
Aiko is selling books for $12 each. She wants to make more than $180 in book sales. The inequality 12b > 180 can be used to determine the number of books, b, she must sell in order to meet her goal. Which number line best represents the solution to the inequality?
Answer:
The answer is B
Step-by-step explanation:
2x-5(x - 4) = - 7+ 5x – 21
Find X
Answer:
x=6
Step-by-step explanation:
2x-5x+20=-7+5x-21
-3x-5x=-7-21-20
-8x=-48
x=6
Answer:
x=6
Step-by-step explanation:
2x-5x+20=5× -28
-3x+20=5x-28
-8x=-48
x=6
check:
2x-5(2)=-30-28
12-10=2
2=2
on the number line, point b is between points a and c. the distance between points a and b is 1/3 of ac.
Step-by-step explanation:
find distance of AC first
ac= √(y2-y1)²+(x2-x1)²
since there is no y we will consider it zero
so Ac= √(16-(-8))²
ac=24
ab is 1/3 of ac so it means
24*1/3=8
so ab is 8 units
The location of point B on the number line is 0.
Given that,
on the number line, point b is between points a and c. the distance between points a and b is 1/3 of ac.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
AB = 1/3 AC
AB = 1/3 (16 - (-8))
AB = 1/3 (16 + 8)
AB = 1/3 * 24
AB = 24 / 3
AB = 8
B - A = 8
B - (-8) = 8
B + 8 = 8
B = 8 - 8
B = 0
Thus, location of the point B on the number line is at 0.
Learn more about number line here:
brainly.com/question/17683084
#SPJ2
Helppp! you could get brainly for correct answer
You have six pizza toppings. How many different 3-topping pizzas can you make?
20
24
120
30
20 different pizzas
==========================================================
Explanation:
Consider 3 slots to fill. I'll label them slot A, B, C.
There are 6 choices for slot A, then 5 choices for B, and 4 for C. We count down by one each time since we cannot reuse a topping.
There would be 6*5*4 = 30*4 = 120 permutations if order mattered.
However, order doesn't matter with pizza toppings. So we must divide by 3*2*1 = 6 (this is the number of ways to arrange any group of 3 things)
We get 120/6 = 20 as the final answer
---------------------
Alternatively, you can use the nCr combination formula following these steps.
n C r = (n!)/(r!(n-r)!)
6 C 3 = (6!)/(3!*(6-3)!)
6 C 3 = (6!)/(3!*3!)
6 C 3 = (6*5*4*3!)/(3!*3!)
6 C 3 = (6*5*4)/(3!)
6 C 3 = (6*5*4)/(3*2*1)
6 C 3 = (120)/(6)
6 C 3 = 20 different pizzas possible
As the third to the last line shows, we have 6*5*4 up top and 3*2*1 down below. This matches exactly what was discussed in the previous section.
---------------------
Yet another alternative is to use Pascal's Triangle (see below) and we locate the row that has 1,6,... at the start. We circle the fourth item of this row that corresponds to 6C3 = 20
Answer these i have all the answers already just testing Tyyyyy <3
BRAINLIEST GIVEN
Answer:
1. B
2. A
3. C
4. A
I hope this helps!
you had $22 to spend on three pretzels. After buying them you had $15.70.How much did each pretzel cost?
Answer:
Each pretzel had cost $6.30
Step-by-step explanation:
You would have to subtract 22.00 - 15.70 and that would be your answer ($6.30)
Answer:
Each pretzel cost $2.10
Step-by-step explanation:
First,
Take your original amount and subtract it by your remanding amount:
22 - 15.70 = 6.30
Then, divide by three, since we bought three pretzels:
6.30 / 3 = 2.10 or 6.30 ÷ 3 = 2.10
So, each pretzel cost $2.10
help me asap for 100 points
Which net represents this solid figure?
Answer:
its the one on the bottom left.
it has the proper demision just look at the sides and they match up
Hope This Helps!!!
Answer: The net which can represent the solid figure given in image 1 is the net in image 4.
Step-by-step explanation:
Calculate the average of the following numbers: 19, 9, -9, 6, 10?
Answer:
7
Step-by-step explanation:
average = 19 + 9 +(-9)+6+10 / 5
=> 35/5 = 7
Which decimal represents
(3 X 1) + (1 X 0.1) + (4 X 0.001)
written in standard form?
=================================================
Explanation:
For these type of problems, it helps to do a grid so you can line up the digits.
Check out the diagram below to see what I mean.
The 3 from "3x1" means we have 3 in the units digit
The first "1" from "1x0.1" means we have 1 in the tenths digit
The 4 in 4x0.001 means we have a 4 in the thousandths digit
There's a 0 in the hundredths digit as just a gap or placeholder so to speak. We can think of it as 0x0.01
What is 7/10 equivalent to write the answer in fractions
factor the following form
X^3+ 27=0
What is the equation of the line that passes through the point (-5,7) and has a
slope of -2/5
Answer:
The equation of a line that passes through the point (-5,7) and has a slope of -2/5 would be y = -2/5x + 5
Step-by-step explanation:
In the math term y = mx + b, "m" represents slope. So you can just substitute it for -2/5. "b" represents the y-intercept. 5 is the only number that works, so you just substitute "b" for 5.
what percentage of students were surveyed between the ages of 10-13?
Answer:
60%
Step-by-step explanation:
The total is 90 students, and 54/90 is 0.6. 0.6 is equal to 60%!
Need help asap giving 15 points
Answer:
197 in^2
Step-by-step explanation:
See attached image
PLEASE HELP I WILL MARK YOU BRAINLIEST!!
Answer:
answer of this question is A
10. Solve this equation: Yg + 5 = 0.
A. y = 45
B. y = 5
C. y = -5
D. y = -45
Please help! Math problem.
2x+4=0: Solve for x
Answer:
x = -2
Step-by-step explanation:
2x + 4 = 0
2x= -4
x=-2
Equation: [tex]2x+4=0[/tex]
Subtract 4 from both sides:
[tex]2x+4-4=0-4\\2x=-4[/tex]
Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{-4}{2}[/tex]
Simplify:
[tex]\frac{-4}{2}=-2\\x=-2[/tex]
Therefore, your answer would be x = -2.
-TestedHyperr
ILL GIVE BRAINLIEST IF YOU ANSWER PLEASE!!!
What is the aspect ratio of a rectangle that is 6.5 inches by 2.5 inches? What if, you wanted another rectangle with the same aspect ratio, however, with a shorter side length of 20 inches. What would be the measure of the longer side?
Answer:
Aspect Ratio:13:5
Answer: 52 inches
Step-by-step explanation:
The aspect ration is the ratio between the sides which is 6.5:2.5 or 13:5.
Now we know the shorter side is 20 inches, and our aspect ratio basically means shorter side is 5x and longer side is 13x. well putting 5x=20, we get x=4. So the longer side, 13x, is 52 inches.