Answer:
7.9
Step-by-step explanation:
Volume = side · side · side
∛496 = 7.915783219
A trader has a mixture of 5c and 10c coins. He has 50 coins in all, with a total value of $4.20. How many of each coin does he have?
Answer:
16 5c coins
34 10c coins
Step-by-step explanation:
(I prefer to use whole numbers)
5x + 10y = 420
x+y=50
multiply the bottom problem by -5
5x +10y =420
-5x -5y = -250
combine the problems
5y = 170
divide by 5
y = 34
that means x = 16
34 10c coins
16 5c coins
-- Gage Millar, Algebra 1/2 tutor
The number of 5 cent coins are 16 and the number of 10 cent coins are 34.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, a trader has a mixture of 5 c and 10 c coins.
Let the the number of 5 c coins be x and the number of 10 c coins be y.
He has 50 coins in all, with a total value of $4.20.
So, x+y=50 ---------(I)
5x+10y=420 ---------(II)
Multiply equation (I) by 5, we get
5x+5y=250 ---------(III)
Subtract equation (III) from (II), that is
5x+10y-(5x+5y)=420-250
⇒ 5y=170
⇒ y=34
Substitute y=34 in equation (I), we get
x=16
Therefore, the number of 5 cent coins are 16 and the number of 10 cent coins are 34.
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The recipe for grandmas famous apple pie calls for 2 cups of flour 1 egg and 3/4 cup of sugar. You accidently use 1 cup of sugar. To keep the quantities proportional how many cups of flour and eggs do you need?
Answer:
I think 2 1/2 for flour and 2 eggs
Is that the right answer
Answer:
I believe so!
Step-by-step explanation: makes since to me!!
Calculate the value of c in the triangle
Neil is rolling a fair die and the last ten rolls have been 2, 5, 6, 3, 2, 1, 5, 2, 6, and 1. He says that the probability of getting a four on his next roll is higher since he has not gotten one yet. Is he correct?
A) No, the probability of getting a 4 on a fair die does not change. It will always be 16 no matter what he got on previous rolls.
B) Yes, since he has gotten everything but a 4 on the last ten rolls, the probability of getting a 4 is higher on the next roll.
C) No, since he has not gotten a 4 yet he is guaranteed to get one on the next roll as it is time for him to get one.
D) There is no way to tell until he rolls the die. You cannot accurately predict what he will get.
Answer:
A)No, the probability of getting a 3 on a fair die does not change. It will always be 1/6 no matter what she got on the previous roll.
Step-by-step explanation:
To solve two-step equations, it is useful to use reverse ________________ as a guide to isolate the variable efficiently. *
Answer:
operations
Step-by-step explanation:
to solve two-step equations, it is useful to use reverse operations as a guide to isolate the variable efficiently.
Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for finding the standard deviation are below. S = StartRoot StartFraction (12 minus 14) squared (14 minus 14) squared (9 minus 14) squared (21 minus 14) squared Over 4 EndFraction EndRoot. = StartRoot StartFraction negative 2 squared 0 squared negative 5 squared 7 squared Over 4 EndFraction EndRoot. = StartRoot StartFraction 4 0 25 49 Over 4 EndFraction EndRoot. = StartRoot StartFraction 78 Over 4 EndFraction EndRoot. = StartRoot 19. 5 EndRoot. What is the first error he made in computing the standard deviation? Yuri failed to find the difference between each data point and the mean. Yuri divided by n instead of n -1. Yuri did not subtract 9 - 14 correctly. Yuri failed to square -2 correctly.
Answer:
He divided by n instead of n-1.
It is sample data so we need to divide by n-1 not n.
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
State if the triangles are similar. If so, how do you know they are similar and complete the similarity
statement
STU ~
Answer:
b. not similar
Step-by-step explanation:
Side SC of the smaller triangle is ...
96 -57 = 39
So, the side lengths of the small triangle, shortest to longest, are ...
39, 40, 44
Side ST of the larger triangle is ...
44 +64 = 108
So, the side lengths of the large triangle, shortest to longest, are ...
96, 96, 108
These lengths do not have the same ratios as the lengths of the sides in the smaller triangle, so the triangles are not similar.
_____
Additional comment
The larger triangle is isosceles. The smaller triangle is not.
What is the value of the expression
1/4 (16 + 9)-h
when g = 4 and n = 2?
o
B)
5
OC) 3
D) 5
1/4(16+9)-2
1/4(20)-2
5-2
3
Which statement can you use to conclude that a relationship must be non-proportional?
The graph of the relationship is linear.
The graph of the relationship is linear.
The equation of the relationship is in the form y = kx
The equation of the relationship is in the form, y = kx
The relationship has a constant rate of change.
The relationship has a constant rate of change.
The y-intercept of the graph of the relationship is ( 0, 1).
9514 1404 393
Answer:
(d) The y-intercept of the graph of the relationship is ( 0, 1).
Step-by-step explanation:
The y-intercept of a proportional relation is always zero. If it is 1, the relationship must be non-proportional.
rearranging formulae y=4x+3
Step-by-step explanation:
y = 4x + 3
subtract 3 on both sides of equation
y - 3 = 4x + 3 - 3
y - 3 = 4x
divide the equation by 4 on both sides
\frac{y - 3}{4} = \frac{4x}{4}4y−3=44x
x = \frac{y - 3}{4}4y−3
DONE.
Mary has saved 17.50 in the past 3 weeks. How much has she saved in one week?
Answer:
5.83 per week
Step-by-step explanation:
hope this helps
pls help plsss
help
plss
Answer:
number 2 is c, number 3 is c
what is the equation of the line that passes through the point (4, 8) and has a slope of 0?
Answer:
y=8.
Step-by-step explanation:
1) if according to the condition slope=0, then the slope-interception form of the required equation is: y=i, where i - interception;
2) if according to the condition the point (4;8) belongs to the required equation, then the required equation is: y=8
31X +3-65X -33-75-10 X
Answer:
-44x - 105
Step-by-step explanation:
1) Add the numbers
3 1 − 1 0 5 − 6 5 − 1 0
2) Combine like terms
-44x - 105
Solve for z.
5.8 + 1 = z
Answer:
5.8 + 1 = z
6.8
Step-by-step explanation:
There are no variables in this equation. So you just add 5.8 + 1
Answer:
5.8+1=6.8
Step-by-step explanation:
'z' is a variable representing an unknown number. In this case, z is the answer, since the equation is 5.8+1=z. All you do is add 5.8 and 1 like this:
5.80
+1.00
_____
6.80
or 6.8
6.8=z
Note: The zero after the numbers does not change the answer.
Hope this helped! :)
What is the solution set of -12x=-74?
The solution to -12x = -74 is X = 6.16.
As for a set? Elaborate on what you mean by set please
x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120 Factor completely given the following factors: (x+5) and (x+3) There should be 6 factors (2 given, 2 binomials, and 2 trinomials.) show steps
Answer:
(×+3)(×+5)(×2)(×-1) (×^2+2×+4)(×^2+×+)Step-by-step explanation:
Where the given one is bolded the 2 binomials is italicized Ang the 2 trinomials is underlinedpa BRAINLEST pls
(b) Given also that x> 1 and x is an integer.
Write down all the possible values of x.
Answer:
X can be any whole or natural number greater than 1 so like 2 could work too but no decimals or fractions or any other irrational numbers such as pi.
Step-by-step explanation:
Hope this works for you. :)
Answer:
Step-by-step explanation:
X greater than or equal to 2 for any positive integer
write a equation of the line that goes through the points (-2,-4) (0,6)
Answer:
323563
Step-by-step explanation:
Hello there!
To find the slope, we use the following formula:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{6-(-4)}{0-2} \\\frac{6+4}{-2} \\\frac{10}{-2} \\-5[/tex]
So the slope is -5.
Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]SilentNature[/tex]
x=2y=-1
-5x-9y=2
elimation
Answer:
Step-by-step explanation:
We know x=2y=-1
So -5x-9y=2
<=> -5(1) +(-4)(1) - (y) =2
<=> -9- (y)=2
<=> y=-9-2
<=> y=-11
P/s: -9y= -8y-y = -4x-y = (-4)(1)-y
ok, i'm done. Thank to me :>
HELP ASAP
Find the slope from the following points.
(-2, 12) (4, -6)
Answer:
-3
Step-by-step explanation:
Slope formula
The owner of a bookstore buys used books from customers for $1.50 each. The owner then resells the used books
for 400% of the amount he paid for them.
What is the price of a used book in this bookstore?
need the answer
The price of a used book in the bookstore after the percentage increase in its price is $7.50.
What are percentages?
Percentage can be described as the fraction out of an amount that is usually expressed as a number out of hundred. Percentages are represented with this sign - %.
What is the price of the used book?Price = 1.50 x ( 1 + 4)
1.5 x 5 = $7.50
To learn more about percentages, please check: https://brainly.com/question/25764815
Answer:
j 6.00
Step-by-step explanation:
i took the test hope this helps good luck
Is this relation a function? Justify your answer. 11 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 O A. Yes, because the number of x-values is the same as the number of y-values. B. No, because two points with the same yvalue have different * values. O C. No, because two points with the same x-value have different values. D. Yes, because every x- and y-value is positive.
this is a relation because it has all of the same number more than once
What is the graph of y=3/4x-3
Answer:
the answer is graph C
Step-by-step explanation:
babyface_wee
Answer: Graph A
Step-by-step explanation:
y-intercept = -3 So, Not Graph B
Slope = 3/4x = rise 3 run 4 or up 3 right 4. So not Graph C
Graph A meats all the criterias.
If the probability that the Islanders will beat the Rangers in a game is 5/6, what is the probability that the Islanders will win at most two out of five games in a series against the Rangers? Round your answer to the nearest thousandth.
Answer:
The chance that the Islanders will win n games out of 6 is:
0.47 ^ n + (1 - 0.47) ^ (6 - n) * 6! / n! / (6 - n!)
So, the chance of winning 4 games is 0.205605
the chance of winning 5 games is 0.072932
the chance of winning all 6 games is 0.010779
Adding these together we get 0.289316
Rounding to the nearest thousandth we get 0.289 (or 28.9%)
What is the equation of this line?
A y= 6x - 4
B y= 1/4 x -6
C y=6x - 1/4
D y= 4x - 6
Answer:
the answer is D pls brainliesttt
In a Quiz points are rewarded for each correct answer while points are deducted for each incorrect answer. In the first round, Ethan answered all the questions correctly. In the second round, he answered 8 questions incorrectly. If 3 points are deducted for each incorrect answer, by how much does Ethan’s score change in the second round?
Answer:
24 points
Step-by-step explanation:
3x8 is 24
A radar station is 2000 ft from the launch site of a rocket. If the rocket is launched vertically at the
rate of 500 ft/sec, how fast is the distance between the radar station and the rocket changing 10 seconds
later?
Answer: f 500 Ft./sec
Step-by-step explanation:
By evaluating the derivate of the distance in t = 10s, we will see that at t = 10s the distance is changing at a rate of 464.2 ft/s
We can think of the situation as in a right triangle, one cathetus is equal to 2000ft, and the other cathetus increases at a rate of 500ft/sec.
The hypotenuse would be the distance between the radar and the rocket.
Then the distance function is:
[tex]D(t) = \sqrt{(2000ft)^2 + (500ft/s*t)^2}[/tex]
Now we need to get the rate of change, this is given by:
[tex]\frac{dD(t)}{dt} = (1/2)*\frac{2*(500ft)^2*t}{\sqrt{(2000ft)^2 + (500ft/s*t)^2} }[/tex]
Now we evaluate this in t = 10s to get:
[tex]\frac{dD(10s)}{dt} = (1/2)*\frac{2*(500ft/s)^2*10s}{\sqrt{(2000ft)^2 + (500ft/s*10s)^2} } = 464.2 ft/s[/tex]
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Which diagram is NOT a good model of 2÷1/8
Answer:
16 i believe
Step-by-step explanation: