There are 15 nickels and 3 quarters.
Let x represent the number of nickels and y represent the number of quarters. Each nickel is worth 5 cent ($0.05) and each quarter worth 25 cents ($0.25)
A jar contains 12 more nickels than quarters.
x = 12 + y
x - y = 12 (1)
Also the, total value of the quarters equals the total value of the nickels. hence:
0.05x = 0.25y
0.05x - 0.25y = 0 (2)
Therefore x = 15, y = 3
Therefore there are 15 nickels and 3 quarters.
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There are 3 quarters in the jar.
Let n = number of nickels and n' = number of quarters
Since the jar contains 12 more nickels than quarters, we have
n = n' + 12 (1)
Also, the total value of the quarters equals the total value of the nickels.
Since one nickel = $ 0.05 and 1 quarter = $ 0.25
n × 0.05 = n' × 0.25
0.05n = 0.25n'
Dividing both sides by 0.05, we have
n = 0.25n'/0.05
n = 5n'
Substituting n = 5n' into (1), we have
n = n' + 12
5n' = n' + 12
5n' - n' = 12
4n' = 12
Dividing both sides by 4, we have
n' = 12/4
n' = 3
So, there are 3 quarters in the jar.
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PLEASE HELP ME WITH THIS QUESTION!!
A military clock has the numbers 1 through 24 evenly spaced around a circular face. What number is directly across from 19?
Answer:
7
Step-by-step explanation:
On a military clock the difference between a number and it's opposite is always 12
19 - x = 12
19 - 12 = x
7 = x
The number directly across from 19 on a military clock is 17.
How to determine the number directly across from 19 on a militaryTo find the number directly across from 19 on a military clock, we can subtract 19 from 12 since the clock face is circular with 24 numbers evenly spaced.
12 - 19 = -7
Since we have a negative result, we need to add 24 to it to bring it back into the range of numbers on the clock face.
-7 + 24 = 17
Therefore, the number directly across from 19 on a military clock is 17.
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A 135-page notebook has 33 writing lines on each page. What is the total number of writing lines in the entire notebook
Answer:
4455
Step-by-step explanation:
135 pages x 33 lines a page = 4455 lines.
Sketch the graph of a 4th degree polynomial function f(x) such that f(- 3) = 0, f(- 1) = 0, f(1) = 0 , and f(3) = 0 and f(x) is increasing at extreme left.
Answer:
see attached
Step-by-step explanation:
For each listed root x=p as signified by f(p) = 0, the function has a factor (x-p). The given roots and the given end behavior tell us the factored form is ...
f(x) = -(x +3)(x +1)(x -1)(x -3)
__
The graph is attached. It shows the function increasing at extreme left, crossing the x-axis at x=-3, and again at x=-1, x=1 and x=3. Since it crosses an even number of times, the right-side end behavior is "decreasing" toward negative infinity.
can someone help me peaseeeee
Given trapezoid WXYZ, what is XY?
Step-by-step explanation:
X is the mulplied
Y is the pronouns
Pls someone help asap! Only answer if you know the correct answer thanks!
Answer:
xx
Step-by-step explanation:
This is what I need the answer for please help much appreciated if done so
Answer:
12a^9b^7
Step-by-step explanation:
Answer
12a^9b^7
Step-by-step explanation:
4x3=12
add the indices
3+6=9
2+5=7
12a^9b^7
There are 50 students in one of Mr. Rudolph's physical education classes. On Monday, 14% of the students were absent from that dass. How many students were present in that dass
on Monday?
43 is the number of students were present in that class on Monday
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that there are 50 students in one of Mr. Rudolph's physical education classes.
On Monday, 14% of the students were absent from that dass.
We have to find the number of students were present in that dass
on Monday.
Let us find 14% of 50
14/100 ×50
0.14×50
7 students were absent.
Now 50-7=43 students.
Hence, 43 number of students were present in that class on Monday
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the total cost of five equally priced dvd's is $55 how much does each dvd cost?
Answer: x=45/3
Step-by-step explanation:
Linear or nonlinear:
why?
non-linear because for each value of x you have more than one value of y.
Answer:
nonlinear
Step-by-step explanation:
it is basically the opposite of linear graph
This gives that the graph of a nonlinear function is not a line. it's usually curved or sloppy it isn't a straight line
4|x-8|+1>_5 ASAP please
Answer:
x ≤ 7 or x ≥ 9
Step-by-step explanation:
4|x - 8| + 1 ≥ 5
Subtract 1 from both sides.
4|x - 8| ≥ 4
Divide both sides by 4.
|x - 8| ≥ 1
x - 8 ≤ -1 or x - 8 ≥ 1
x ≤ 7 or x ≥ 9
Imma need a really quick answer im on a real tight clock
Answer:
Square 2 and 4? sorry im not very good at this stuff but thats my guess goodluck
Step-by-step explanation:
Simplify the expression: – 9k2+6k2–7k2–5k2+ – 8k2+ – 2k2
Step-by-step explanation:
I guess, this expression really is
-9k² + 6k² - 7k² - 5k² + -8k² + -2k²
remember : all terms with the same base reference (either a number or a variable with the same exponent, or a function ...) can be combined.
all the terms in this expression are about k². so we can combine them all
k² × (-9 + 6 - 7 - 5 - 8 - 2) =
k² × -25 or simply -25k²
always also remember the rules of combining signs and operations :
++ = +
+- = -
-+ = -
-- = +
Suppose a spherical balloon is inflated at the rate of 10 cubic centimeters per minute. How fast is the radius of the balloon increasing when the radius is 5 cm
Answer: The radius increases by 0.032 cm/minute.
Step-by-step explanation:
The volume, V, of a sphere is V = (4/3)πr^3.
For the volume to increase at a rate of 10cc (cubic centimeters) per minute, the radius must increase such that the additional radius (r)^3 = 10
V = (4/3)πr^3
V = (4/3)π5^3
V = 524 cc
We add 10 cc to have the balloon hold 544 cc. We calculate the increase in radius:
534=(4/3)*pi*x^3
We can now calculate the new radius, x.
x = 5.032 cm
The radius increased by 0.032 cm/minute.
What value is added to both sides of the equation x^2 − 6x = 10 in order to solve by completing the square? (1 point)
Group of answer choices
−3
3
6
9
Answer:
9
Step-by-step explanation:
use half the x coefficent and square it
x^2 − 6x + (-3)^2 = 10 + (-3)^2
x^2 - 6x + 9 = 10 + 9
(x - 3)^2 = 19
If you the numbers 2 and 2, what will the final sum be
If for evry 15 there is 25 what is the number for just 5
Answer:
I think it may be 8.3.
Step-by-step explanation:
15 = 25
15÷3=25
25÷3=8.3333333
Round it to 1 decimal place and you get 8.3
Write the number 0.000 000 7 in standard form.
Gabriella bought 8 chicken wings for $4. What was the cost of the wings in wings per dollar?
Answer:
2 wings/dollar
Step-by-step explanation:
The unit cost is $4 / 8 wings, or $0.50/wing. This is equivalent to 2 wings/dollar.
Simplify 3 (x - 5) by distributing.
Answer:
3x - 5
Step-by-step explanation:
Geometry hw help please.
Answer:
6
Step-by-step explanation:
You can solve this using Pythagorean Theorem;
a² + b² = c²
c is always the hypotenuse or the longest length in the triangle which is always opposite to the forming 90° angle.
a and b values can be the other 2 legs, doesn’t matter which one is which
we are given;
a = 8
c = 10
a² + b² = c²
(8)² + b² = (10)²
64 + b² = 100
b² = 100 - 64
b² = 36
√b² = √36
b = 6
Therefore the answer = 6
Hope this helps!
Find the quotient. 4/12÷4/12=
Answer:
1
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
4 Anna plays a computer game for
of an hour each evening. How many
hours does she spend playing computer
games in a week? In 8 weeks? Draw a
model or write equations to show your
work.
Answer: 7, 56
Step-by-step explanation:
The answer to the first question is 7 because since there are 7 days in a week, and she plays for an hour each evening, 1 times 7 is 7. If she plays for 8 weeks, she would play for 56 hours because 7 times 8 is 56.
Explain the steps to locate the average rate of change when two points are displayed on an exponential graph. -
Answer:
Explanation: The rate of change between two points on a curve can be approximated by calculating the change between two points. Let be the coordinates of the first point and be the coordinates of the second point. Then the formula giving approximate rate of change is
Step-by-step explanation:
calculating the change between two points.
Complete the inequality statement.
1 1/2 ft ___ 16 in.
A. >
B. <
C. =
Answer:
a.>
Step-by-step explanation:
because :-
11/2 ft= 5.5 ft
5.5ft =66 in so 66in>16in
can someone help me with this please:)
Answer:
A
Step-by-step explanation:
[tex]2 \sqrt{3} + \sqrt{9} \times \sqrt{ - 1} = 2 \sqrt{3} + 3i[/tex]
Help me please i beg you please
Using Pythagorean theorem
[tex]\\ \sf\longmapsto x^2=26^2-10^2[/tex]
[tex]\\ \sf\longmapsto x^2=676-100[/tex]
[tex]\\ \sf\longmapsto x^2=576[/tex]
[tex]\\ \sf\longmapsto x=24ft[/tex]
PLS HELP !!!
A bus journey from a town to a city
takes 2 hour 38 minutes.
complete the timetable opposite below
TIMETABLE: (I tried to type it)
Depart : Arrive :
a) 05 00 ______
b) 07 20 ______
c) _____ 11 18
d) _____ 13 36
e) 15 45 _____
f) 18 22 _____
g) _____ 21 17
h) _____ 23 25
I'll mark as branliest if u answer :))
Step-by-step explanation:
I guess we only need to add 2 hours and 38 minutes to the depart times to get arrival, and deduct 2 hours and 38 minutes from arrival to get departure.
a) 05 00 -> 07 38
b) 07 20 -> 09 58
c) 08 40 -> 11 18
d) 10 58 -> 13 36
e) 15 45 -> 18 23
f) 18 22 -> 21 00
g) 18 39 -> 21 17
h) 20 47 -> 23 25
Select the correct domain of the function represented by the graph.
A is the correct answer.