Write the following comparison as a ratio reduced to lowest terms.
21 nickels to 43 dimes
Answers
Answer:
As coins, they are already in their simplest ratio, since 25 and 38 don't have any common factor to divide by. (1 doesn't really count...)
As money, you need to multiply the 25 nickels x 5 cents per nickel, which gives you 125 cents,
and 38 dimes x 10 cents per dime, which gives you 380 cents.
So your new ratio is 125:380, which you can simplify by dividing each by 5, which gives you
25:76
SO, as money the ratio in simplest terms is 25:76. As numbers of coins, it's 25:38
If you think about it, it makes sense because:
10 cents is twice as much as 5 cents, and
76 cents is twice as much as 38 cents.
Hope this helps!
Matt in New York
Ten cents cost twice as much as five cents, and 38 cents are equivalent to twice as much as 76 cents.
Explain about the Ratio?
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value
Since there is no
to divide 25 by and 38 by, they are already in their most basic ratio as coins. (1 is hardly significant...)
To convert the 25 nickels to money, multiply them by the nickel's value, which comes to 125 cents.
and 38 dimes multiplied by 10 cents each, giving you 380 cents.
By dividing each by 5, you can simplify your new ratio of 125:380 and get
25:76
Therefore, the ratio is 25:76 expressed simply as money. It is 25:38 in monetary terms.
It makes sense if you think about it since
Ten cents are twice as expensive as five cents, and
38 cents is double what 76 cents
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Related Questions
Helppppppppppppp need it now
Answers
Answer:
got
submited
showed
arrived
already filled
Step-by-step explanation:
Second blank : Have submitted
Third blank : Showed
Fourth blank : were arrived
Fifth blank : were already filling
Hope , it helps
what number has the prime factorization 2 6th * 5 6th show your work
Answers
Start dividing the number by the smallest prime number i.e., 2, followed by 3, 5, and so on to find the smallest prime factor of the number.
Again, divide the quotient by the smallest prime number
what is 5 +10 - 20 x 4
Answers
Answer:
-65 is the right answerrr
PLSS PLS PLSSS HELP ME WITH THIS I'M SOO TIRED OF SCHOOL I DON'T UNDERSTAND THIS SIGHH I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER THIS CORRECTLYY PLS AND TYY
Answers
Answer:
ew
Step-by-step explanation:
7. What is the value of z in the solution to the systems of linear equations shown below?
-x+ 2y + 2z= -4
4x +y-3z=13
x- 5y +z = -23
Answers
Step-by-step explanation:
[tex]1) \: \: - x + 2y + 2z = - 4 \\ 2z = - 4 + x - 2y \\ z = \frac{ - 4 + x - 2y}{2} \\ \\ 2) \: \: 4x + y - 3z = 13 \\ - 3z = 13 - 4x - y \\ z = \frac{13 - 4x - y}{ - 3} \\ \\ 3) \: \: x - 5y + z = - 23 \\ z = - 23 - x + 5y \\ [/tex]
What is 0.579 x 10 to the power of 4
Answers
Answer:
5790
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
5790
Step-by-step explanation:
0.579 × [tex]10^{4}[/tex]
Calculate 10 to the power of 4 and get 10000.
0.579 × 10000
Multiply 0.579 and 10000 to get 5790
5790
Write that down the equation for the lines that is the graphs are depicted below
PLZ HELP 20 points
Answers
Find slope of line (m)
[tex]\\ \sf\longmapsto m=\dfrac{2-0}{1-0}[/tex]
[tex]\\ \sf\longmapsto m=2[/tex]
Putting in y=mx+b
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto 2=2(1)+b[/tex]
[tex]\\ \sf\longmapsto 2=2+b[/tex]
[tex]\\ \sf\longmapsto b=2-2=0[/tex]
Equation of the line
[tex]\\ \sf\longmapsto y=2x[/tex]
Answer:
y = 2xStep-by-step explanation:
The line passes through the origin and holds the point A(1, 2).
This is a proportional relationship:
y = kxConsidering the coordinates of the point A:
2 = 1*k ⇒ k = 2The line is:
y = 2xthe product of two rational numbers is 9.6 if one rational number is 66/7. find the other rational number
Answers
Answer:
0.1714
Step-by-step explanation:
just substract 9.6 from 66/7 which will give u the other rational number.
then add both the rational numbers to check ur answer.
66/7 + 0.1714 = 9.6
Give M|N, find the value of x
Answers
9514 1404 393
Answer:
x = 11
Step-by-step explanation:
The two marked angles are corresponding angles, so are congruent.
7x+14 = 9x-8
22 = 2x
11 = x
__
Check
The angle measures are ...
7(11) +14 = 77 +14 = 91 . . . degrees
9(11) -8 = 99 -8 = 91 . . . degrees
If y=cosh(4tanh¯¹x) then dy/dx=
Answers
If you're like me and don't remember hyperbolic identities (especially involving inverse functions) off the top of your head, recall the definitions of the hyperbolic cosine and sine:
[tex]\cosh(x) = \dfrac{e^x + e^{-x}}2 \\\\ \sinh(x) = \dfrac{e^x - e^{-x}}2[/tex]
Then differentiating yields
[tex]\dfrac{\mathrm d(\cosh(x))}{\mathrm dx} = \dfrac{e^x-e^{-x}}2 = \sinh(x) \\\\ \dfrac{\mathrm d(\sinh(x))}{\mathrm dx} = \dfrac{e^x+e^{-x}}2 = \cosh(x)[/tex]
so that by the chain rule, if
[tex]y = \cosh\left(4\tanh^{-1}(x)\right)[/tex]
then
[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d\left(\cosh\left(4\tanh^{-1}(x)\right)\right)}{\mathrm dx} = \sinh\left(4\tanh^{-1}(x)\right) \dfrac{\mathrm d\left(4\tanh^{-1}(x)\right)}{\mathrm dx}[/tex]
Now, let [tex]z=4\tanh^{-1}(x)[/tex], so that (•) [tex]\tanh\left(\frac z4\right) = x[/tex].
Recall that
[tex]\tanh(x) = \dfrac{\sinh(x)}{\cosh(x)} = \dfrac{e^x-e^{-x}}{e^x+e^{-x}}[/tex]
and so the derivative of tanh(x) is
[tex]\dfrac{\mathrm d(\tanh(x))}{\mathrm dx} = \dfrac{(e^x+e^{-x})(e^x+e^{-x})-(e^x-e^{-x})(e^x-e^{-x})}{(e^x+e^{-x})^2} \\\\ = \dfrac{4\cosh^2(x)-4\sinh^2(x)}{4\cosh^2(x)} \\\\ = 1-\tanh^2(x) = \mathrm{sech}^2(x)[/tex]
where the last equality follows from the hyperbolic Pythagorean identity,
[tex]\cosh^2(x)-\sinh^2(x) = 1 \implies 1-\tanh^2(x) = \mathrm{sech}^2(x)[/tex]
Differentiating both sides of (•) implicitly with respect to x gives
[tex]\dfrac{\mathrm d\left(\tanh\left(\frac z4\right)\right)}{\mathrm dx} = \dfrac{\mathrm d(x)}{\mathrm dx} \\\\ \mathrm{sech}^2\left(\dfrac z4\right)\dfrac{\mathrm d\left(\frac z4\right)}{\mathrm dx} = 1 \\\\ \dfrac14 \mathrm{sech}^2\left(\dfrac z4\right) \dfrac{\mathrm dz}{\mathrm dx} = 1 \\\\ \dfrac{\mathrm dz}{\mathrm dx} = 4\cosh^2\left(\dfrac z4\right) \\\\ \dfrac{\mathrm dz}{\mathrm dx} = 4\cosh^2\left(\tanh^{-1}(x)\right)[/tex]
So, the derivative we want is the somewhat messy expression
[tex]\boxed{\dfrac{\mathrm dy}{\mathrm dx} = 4\sinh\left(4\tanh^{-1}(x)\right) \cosh^2\left(\tanh^{-1}(x)\right)}[/tex]
and while this could be simplified into a rational expression of x, I would argue for leaving the solution in this form considering how y is given in this form from the start.
In case you are interested, we have
[tex]\cosh\left(\tanh^{-1}(x)\right) = \dfrac1{\sqrt{1-x^2}}[/tex]
and you can instead work on differentiating that; you would end up with
[tex]\dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{16x^3+16x}{(x^2-1)^3}[/tex]
What is the slope of a line perpendicular to the line whose equation is 3y + 2x = -5?
Answers
Answer:
I think the slope of the line is -2/3
$43.54 divided by 15.5 =
Answers
Answer:
2.01
Step-by-step explanation:
what does x equal using distributive property 1/3(x+6)=1/2(x-3)
Answers
Answer
x=21
Step-by-step explanation:
1/3+2=1/2x-1.5
2/6x+2=3/6x-1.5
-2/6+1.5 =-2/6x+1.5
3.5=1/6x
----- = -----
1/6 1/6
21
Answer:
The person in the comments was correct it is x=21
Step-by-step explanation:
hope this helps you if not please let me know
PLZZZZZ HELP THIS IS DUE BY 8:00.Fred is trying to earn $35 to buy a basketball. He has saved $11.25. He earns $2.25 per hour doing yard work for his neighbor, and he earns $7.25 per hour selling sunglasses at the mall. Will Fred have enough to buy the basketball if he works in the yard for 2 hours and at the mall for 3 hours? Use the inequality 2.25y + 7.25z + 11.25 ≥ 35.
No, because the total will be $58.75.
No, because the total will be $21.25.
Yes, because the total will be $37.50.
Yes, because the total will be $26.25.
Answers
Answer:
the answer is d (the last one)
Step-by-step explanation:
2.25 * 2 = 4.5
+
7.25 * 3 = 21.75
= 26.25
he needs 35, so it's not enough
A math teacher graded 45 problems in 3/5 of an hour. At that rate, how many problems can she grade in 1 hour?
Answers
Answer:
75 questions
Step-by-step explanation:
[tex]45[/tex] ÷ [tex]\frac{3}{5}[/tex] of an hour
[tex]\frac{3}{5} =36[/tex]
[tex]45[/tex] ÷ [tex]36[/tex] minutes
= 1.25
1.25 times 60 = 75 questions
The Students on each team who drew the greatest number will be the captain of that team. Place the players of the Lions team in order from Least to Greatest.
Who was the captain of the Lions Team?
Answers
The figure shows a utility pole with an electrical line and a telephone line.
The angled wire is a tension wire.
Complete the table: for each angle pair given, identify the transversal and classify the angle pair. (Hint: Think of the utility pole as a line for these problems.)
Note: I’ll give you a lot of points for this
Answers
Answer:
Step-by-step explanation:
What is the value of the expression g . (g + 1)^2 for g= 2 ?
Answers
Hello!
Answer:
g = 9
Step-by-step explanation:
(g+1)^2
Plug in 2 for g: (2+1)^2
Add 2 and 1: (3)^2
Simplify: (3 x 3)= 9
Hope this helps.
Jaden runs in a circle at constant speed
Radius is 30m. Time is 90s. What is the speed?
Answers
Answer:
hope i helped...if anythng not understood please write in the comments
Add 2/5 + 3/6 + 1/4 0 1 11/60 O 13/20 o 17/20 1 13/60
Answers
Answer:
Step-by-step explanation:
-(8/11)/(-3/5) = -(8/11)*(-5/3)
-(8/11)*(-5/3) = 40/33 [ or 1 7/33]
I can't interpret the rest of the question. I see:
"Add 2/5 + 3/6 + 1/4 0 1 11/60 O 13/20 o 17/20 1 13/60"
Find the reciprocal of 4
Answers
Answer:
reciprocal of 4 = 1/4
Step-by-step explanation:
By definition, a reciprocal of a/b = b/a.
Since 4 is the same as 4/1, then it's reciprocal must be 1/4.
Answer:
1/4
Step-by-step explanation:
because 4 = 4/1
reciprocal means to flip it upside down 4/1 = 1/4
Lydia is having a barbecue. Two containers of juice serve 10 people. How many containers of juice should she get to serve 40 people at the barbecue?
Answers
Answer:
4 containers
Step-by-step explanation:
4 containers of juice x 10 people= 40 people to serve
What is the value of the expression if q = 6 a n d r = 4
Answers
Answer:
66 (lmk if i'm wrong)
Step-by-step explanation:
9x6 + (16-4)
54 +12
66
1
2
3
4
5
10
50
Which function has an inverse that is a function?
Ob(x) = x2 + 3
Od(x) = -9
Om(x) = -7x
O p(x) = 1x1
Which function has an inverse that is a function?
Answers
Step-by-step explanation:
an equation is a function, if it delivers for every possible input value x exactly one result value y.
b(x) = y = x² + 3
y - 3 = x²
x = sqrt(y -3)
our formally correct
y = sqrt(x - 3)
that is actually NOT a function, as a square root delivers for most x values 2 y values : a positive and a negative value.
d(x) = -9
that means for every possible value of x the result is -9.
reversing this means that the input value of -9 has infinitely many possible results
that is NOT a function.
m(x) = y = -7x
x = -y/7
or formally correct
y = -x/7
that is a normal function. every possible value of x leads to exactly one value of y.
p(x) = y = 1x¹ = x
y = x is its own inverse function.
and this is, of course, a function. every possible value of x leads to exactly one value of y.
How to find t=3,500•(1.10)^100, round to the nearest whole number
Answers
Answer:
To find 3,500 by near to 3,550
Step-by-step explanation:
the nearest number of 3,500 is 3,500
In a class of 28 students, 12 students packed their lunch. At this rate, how many students out of 336 would be expected to pack their lunch?
Answers
Answer:
144 students
Step-by-step explanation:
12/28=3/7
3/7*336=144
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
If out of 28 students, 12 students packed their lunch.
The number of students who packed their lunch out of 336 students is 144 students.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
3 miles in 3 hours.
1 mile in one hour.
We have,
In a class of 28 students, 12 students packed their lunch.
We can write this as:
28 students = 12 students packed lunch ______(1)
We have to make 28 students into 336 students.
This can be done by multiplying 12 on both sides of the equation (1)
Multiply 12 on both sides.
12 x 28 students = 12 x 12 students packed lunch
336 students = 144 students packed lunch
Thus,
The number of students who packed their lunch out of 336 students is 144 students.
Learn more about unit rates here:
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Be Precise in the number 24.543, why is the value of each
4 different?
Answers
The other 4 is in the 1s place
what is an equivalent ratio to 9:1
Answers
Answer:
Equivalent ratio of 9:1 is 18:2.
Mark me as the brainlist
Answer:
18:2 is equivalent
pretty sure
PLEASE I NEED HELP WITH THIS SO I CAN PASS
Answers
Answer:
the answer is------------ 1/4.4.4
If a car travels 200km in 2.5 hours, how far would it travel in 6 hours at the same rate of speed?
Answers
Answer: 500km I believe
Step-by-step explanation:
hope this helps :)
Answer:
I think that the answer is 850
Step-by-step explanation:
find out how many km traveled 0.5 hours, then multiply by 12