Given:
Newton has 10 more dimes than nickels.
He has twice the number of quarters than nickels.
Total amount he has = $6.20.
To find:
The number of each coin.
Solution:
Let the number of nickels be x.
Newton has 10 more dimes than nickels.
Dimes = x+10
He has twice the number of quarters than nickels.
Quarters = 2x
We know that, 1 nickel = $0.05, 1 dime = $0.10 and 1 quarter = $0.25.
Total amount he has is $6.20.
[tex]x\times 0.05+(x+10)\times 0.10+2x\times 0.25=6.20[/tex]
[tex]0.05x+0.10x+1+0.50x=6.20[/tex]
[tex]0.65x=6.20-1[/tex]
[tex]0.65x=5.20[/tex]
Divide both sides by 0.65.
[tex]x=\dfrac{5.20}{0.65}[/tex]
[tex]x=8[/tex]
Now,
Number of nickels = 8
Number of dimes = 8 + 10 = 18
Number of quarters = 2(8) = 16
Therefore, the number of nickels, dimes and quarters are 8, 18 and 16 respectively.
A car dealer reported a 7.5% drop in sales from 895 cars. How many cars were sold?
Answer:
its is 38.6
Step-by-step explanation:
Find the number represented by the prime factorization. 2^2 x 3^2 x 5
Step-by-step explanation:
4* 9* 5
= 180
I think that is the answer
Hope it helps :)
The number represented by 2² × 3² × 5 is 180.
What is prime factorisation ?Prime factorisation is factoring a given composite number in terms of prime numbers multiplied with each other.
Prime numbers are those numbers which are only divisible by 1 and the number it self.There are 25 prime numbers from 1 to 100 and 47 prime numbers from 1 to 200.
According to the given question the number represented by prime factorisation 2² × 3² × 5 = 4 × 9 × 5 which is
= 36 × 5
= 180.
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Please help with these two math problems
1. 7^x ÷ 7^y =
2. z^10x^y ÷ z^5 =
Answer:
1. 7^(x-y)
2. z^5x^y
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
__
1.
[tex]\dfrac{7^x}{7^y}=\boxed{7^{x-y}}[/tex]
__
2.
[tex]\dfrac{z^{10}x^y}{z^5}=x^yz^{10-5}=\boxed{z^5x^y}[/tex]
Megan's DVD club membership, which is $8, is deducted automatically from her bank account every month. Which expression shows the total deductions for the year?
(−$8) ÷ 12
(−$8) ⋅ 12
(−$8) − 12
(−$8) + 12
Answer:
Its B :D
Step-by-step explanation:
please helpp with this!!
Answer:
a) 83½
[tex]b)n = 4 \frac{1}{3} \: \: or \: \: n = - 4 \frac{1}{3} [/tex]
Step-by-step explanation:
Please see the attached pictures for full solution.
HELP DO ALL IF U CAN SORRY MY CAP ARE ON
0.07 = 0.07
0.07 > 0.06 (or any number greater than 0.07)
0.07 < 0.08 (or any number less than 0.07)
Answer:
1) 0.07 can only equal 0.07
2) > means greater than, so the answer would be anything greater than 0.07.
3) < means less than, so the answer would be anything less than 0.07.
I hope this helped you out...have an amazing day!! C:
Write a paragraph, flowchart, or 2-column proof for the following conjecture:
Given: angle 1 = angle 4
Prove: angle 3 = angle 2
Answer:
How I would write my paragraph:
If angle 1 is congruent to angle 4, angle 1 must also be congruent to angle 3 by the transitive property. This is because is angle 3 and angle 4 are vertical angles, and they must be congruent. If angle 1 is congruent to angle 3, then the two lines in the middle must also be parallel due to the converse of the corresponding angles theorem. Because the two lines in the middle are parallel, angle 3 must be congruent to angle 2 by the alternate interior angles theorem.
Step-by-step explanation: your welcome
the length of a rectangle is 3 in. more than its width. The perimeter of the rectangle is 30 in. Find the length and width of the rectangle
Answer:
Length=9, Width=6
Step-by-step explanation:
First, you need to find out which two number have a difference of 3. Then, you will find the numbers that add up to 30. You know that, if you add 7+7+10+10, it’ll be 34, so if you try 6+6+9+9, the answer will be 30. So your final answer is length=9, and width=6.
Evaluate the expression a=3, b=2, and c=12
Answer:
jejejwjjwjejeejekeekekeknenenenne
Answer:
Step-by-step explanation:
Sorry but please give detailed question
Can someone help me??
Answer:
the answer is 100% d I'm sure
Answer:
$1.17
Step-by-step explanation:
change = 20 - (3.99(3) + 2.99(1) + 3.09(1) + 0.78)
= 20 - (11.97 + 2.99 + 3.09 + 0.78)
= 20 - 18.83
= 1.17
Six times a number is forty two.
Write the equation?
Answer:
6*n=42
Step-by-step explanation:
n=7 if you need that info
Find the midpoint of (-5,12) and (3,-6)
Answer:
mid point: (4,5)
hope that helps :)
Step-by-step explanation:
Explaining How to S
ve an ea
What should you do to solve the equation?
45 = x + 38
O Subtract 38 from both sides.
O Add 38 to both sides.
O Subtract 45 from both sides.
O Add 45 to both sides.
Answer:
Subtract 38 from both sides.
Step-by-step explanation:
THAT DA ANSWER
Both Andrew and Karleigh recorded the distance they ran in x minutes on treadmills. Andrew A 2-column table with 2 rows. Column 1 is labeled Time in Minutes with entries 18, 24. Column 2 is labeled Distance in miles with entries 1.5, 2. Karleigh A 2-column table with 2 rows. Column 1 is labeled Time in Minutes with entries 30, 40. Column 2 is labeled Distance in miles with entries 3, 4. Andrew and Karleigh each run for 1 hour. Which statement explains who ran a greater distance? Andrew ran a greater distance. The slope of the line described by the data in his table increased at a rate of StartFraction 1 Over 10 EndFraction mile per minute compared to Karleigh’s StartFraction 1 Over 12 EndFraction mile per minute. Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of StartFraction 1 Over 10 EndFraction mile per minute compared to Andrew’s StartFraction 1 Over 12 EndFraction mile per minute. Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of StartFraction 1 Over 12 EndFraction mile per minute compared to Andrew’s StartFraction 1 Over 10 EndFraction mile per minute. Andrew ran a greater distance. The slope of the line described by the data in his table increased at a rate of StartFraction 1 Over 12 EndFraction mile per minute compared to Karleigh’s StartFraction 1 Over 10 EndFraction mile per minute.
Answer:
ex:Speed (S) is the ratio of the distance (D) covered to the time (t) taken.
That is, S = D/t
Suppose Andrew ran a distance D1 in 1 hour (3600 seconds) at a Speed, say S1, we have
S1 = D1/t
We can then say he ran a distance
D1 = t × S1
= 3600S1
Similarly, let's say Karleigh ran a distance
D2 = t × S2
= 3600S2
Let us compare these two, you will notice that the bigger number between S1 and S2 is going to determine the bigger number between D1 and D2.
Let's choose random numbers for S1 and S2 for clarity, say S1 = 5, S2 = 10
D1 = 3600 × 5
= 18000
D2 = 3600 × 10
= 36000
This makes D2 bigger than D1. this is an example i found on the internet.
Step-by-
hope this helps, good luck
The ratio of the change in distance to the corresponding change in time
gives the speed of a runner.
The statement that explains who ran a greater distance is; Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of [tex]\displaystyle \frac{1}{10}[/tex] mile per minute compared to Andrew's [tex]\displaystyle \frac{1}{12}[/tex] mile per minute.Reasons:
The tables are;
Andrew
[tex]\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\18&&1.5\\24&&2\end{array}\right][/tex]
Karleigh
[tex]\begin{tabular}{|cc|c|}Time in Minutes&&Distance in miles\\30&&3\\40&&4\end{array}\right][/tex]
The duration each on the treadmills is 1 hour = 60 minutes
[tex]\displaystyle Speed = \mathbf{\frac{Change \ in \ distance}{Change \ in \ time}}[/tex]
Therefore;
[tex]\displaystyle Andrew's \ speed = \frac{2 \, miles - 1.5 \, miles}{24 \, minutes - 18\, minutes} = \mathbf{\frac{1}{12} \ mile/minute}[/tex]
[tex]\displaystyle The \ distance \ Andrew \ ran = \frac{1}{12} \ miles/min \times 60 \ min = \mathbf{5 \ miles}[/tex]
[tex]\displaystyle Karleigh's \ speed = \frac{4 \, miles - 3 \, miles}{40 \, minutes - 30 \, minutes} = \mathbf{\frac{1}{10} \, mile/minute}[/tex]
[tex]\displaystyle The \ distance \ Karleigh \ ran = \frac{1}{10} \, miles/min \times 60 \ min = \mathbf{6 \ miles}[/tex]
Therefore;
Karleigh ran a greater distance The correct option is; Karleigh ran a greater distance. The slope of the line in her table increased at a rate of [tex]\displaystyle \frac{1}{10}[/tex] mile per minute compared to Andrew's [tex]\displaystyle \frac{1}{12}[/tex] mile per minute.Learn more about formula for speed here
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William must have at least $250 this month. He has already earned $100, how much more
should he earn this month? Use m to represent the amount of money he still needs to eam.
Subtract the amount he has from the amount he needs:
M = 250 -100
M = 150
He needs to earn$150 more
Answer:250-100=150
Step-by-step explanation:
need help with this
Answer:
[tex]-5x^2-26[/tex]
Step-by-step explanation:
[tex](f\:o\:g)=f(g(x))\\\\f(g(x))=-5(x^2-5)-1\\\\=-5x^2-25-1\\\\=-5x^2-26[/tex]
IK and LN are parallel lines. Which angles are vertical angles?
Answer:
OM and JH
Step-by-step explanation:
Answer:
Step-by-step explanation:
Vertical angles are opposite angles when two lines intersects
∠OMN & ∠LMJ are opposite angles
∠OML and ∠NMJ are opposite angles
∠MJK and ∠IJH are opposite angles
∠MJI and KJH are opposite angles
After you multiply a number by 9 and subtract the product from 300, the difference will be 183. Find the number.
What si the meaning of 3:4
Answer:
its either a ratio or a 2017 film
Step-by-step explanation:
for every 3 pieces of candy you eat, you lose 4 teeth
sam bought 2 1/5 pounds of carrots for 6.60$. what is the unit rate in cost per pound
Answer:
The answer is 3.
Step-by-step explanation:
A triangle has a 90° angle. What type of triangle is it?
Answer:
Its a right triangle
Step-by-step explanation:
Answer:
It is a right angle.
Step-by-step explanation:
What are the roots of the polynomial equation x cubed minus 7 x = 6 x minus 12? Use a graphing calculator and a system of equations.
↓Answer:
Step-by-step explanation:
It will be 504
Answer:
THE ANSWER IS B
Step-by-step explanation:
Help pls help NOW! 35 points.
how do you graph y= -1/4x + 6?
Answer:
First, you look at the y-intercept. It is positive 6 so you start at 6 on the y-axis. Then you look at the slope. It is negative 1/4. It is negative so the slope goes down and it goes down on the unit and 4 units right. That is how you graph y= -1/4x + 6
Solve the equation: 3(x−3) + 2x= −49
A.) x= - 8
B.) x = - 2
C.) x = - 40
D.) x= - 50/3
What is the value of n? help asap
Answer:
26
Step-by-step explanation:
Can someone please help me with this?
Answer:
Acute angle
Step-by-step explanation:
This would be an Acute since it's less the 90 degrees
It wouldn't be complementary since both angles don't add up to ninety
what are the 3 most important things you learned about evaluating functions
Functions explain circumstances in which particular quantity and quality would be different. The important things about evaluating functions are below.
The evaluation collected data or information help to design curricula, assess the efficiency of innovative approaches, and highlight the regions of the requirement for change.Evaluation data is becoming increasingly valuable for guiding and advice.This same evaluation would be important just to measure the effectiveness of an existing program.
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Simplify (2a+5)6a^2
Can someone help please
Answer:
12a^3+30a^2
Step-by-step explanation:
6a^2(2a+5)
12a^3+30a^2
explain how xy and xy are diffrent
Answer:
x is the horizontal line on the middle of a graph and the y is the vertical line on the middle of a graph
Step-by-step explanation:
Answer:
xy and xy is the same, equal and congruent.
Step-by-step explanation:
By the way you write it, it looks the same.