How many ways can you make change for 60¢ using only nickels, dimes, and quarters?
There are 13 ways to make change for 60¢ using only nickels, dimes and quarters.
Determination of the number of combinations for a given amount of moneyIn the United States of America, a nickel equals 0.05 dollar, a dime equals 0.10 dollar and a quarter equals 0.25 dollar.
For 0.60 dollar we have the following expression in terms of nickels ([tex]n[/tex]), dimes ([tex]d[/tex]) and quarters ([tex]q[/tex]):
[tex]0.25\cdot q + 0.10\cdot d + 0.05\cdot n = 0.60[/tex], where [tex]q,\,d,\,n \in \mathbb{N}_{O}[/tex] (1)
Since quarters are the money of greatest value, we assume arbitrary quantities and count corresponding solutions, whose representations are included below:
Case 1 ([tex]q = 0[/tex])[tex]n = 12-2\cdot d[/tex] (2)
According to the first graph, there are seven forms in this scenario.
Case 2 ([tex]q = 1[/tex])
[tex]n = 7-2\cdot d[/tex] (3)
According to the graph case_2, there are four forms in this scenario.
Case 3 ([tex]q = 2[/tex])[tex]n = 2- 2\cdot d[/tex]
According to the graph case_3, there are two forms in this scenario.
Hence, there are 13 forms to make change for 60¢ using only nickels, dimes and quarters. [tex]\blacksquare[/tex]
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Use the Perfect Square Trinomial and provide the first step to calculating 32^2 without a calculator.
(30 − 2)2
(30 + 2)2
(28 − 4)2
(28 + 4)2
Answer:
64
Step-by-step explanation:
(30+2)2
30*2+2*2
60+4
64
Answer:
B. (30+2)^2
Step-by-step explanation:
(30+2)^2=30^2+2(30)(2)+2^2=900+120+4=1024
32^2=1024. The way to solve without calculator is above.
Hope this helps!
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How many centimeters are in 5.2 inches?
[1 inch = 2.5 cm]
13 cm
11 cm
7.30 cm
1.92 cm
Step-by-step explanation:
Since,
1 inch=2.5 cm
Therefore,
5.2 inches=2.5×5.2 cm=13 cm
I hope it helped U
stay safe stay happy
Answer:
1inc=2.5cm 5.2inches=?5.2×2.552/10 × 25/10when u reduce u get260/20 answer is13cmAn angle has a measure of n degrees. Which of the following expressions would be used to find the measure of its complement?
a. n - 90
b. 90 -n
c. 180 - n
d. n - 180
9514 1404 393
Answer:
b. 90 -n
Step-by-step explanation:
The sum of an angle and its complement is 90 degrees. If c represents the complement, this means ...
n +c = 90
c = 90 -n . . . . . . . . . subtract n from both sides of the equation
The expression 90 -n can be used to find the complementary angle.
order these numbers from least to greatest
2.069, 2.7, 2.6912, 2.69
Answer:
2.069, 2.69, 2.6912, 2.7
Step-by-step explanation:
A bike rental shop rents out bicycles with a flat rate of $6 and then charges $2 per hour a person rents out the bike. Identify the independent variable and the dependent variable. Then write an equation relating the cost, C, to the number of hours the bicycle was rented.
Independent Variable:
Dependent Variable:
Equation:
Answer:
Independent Variable: Number of hours
Dependent Variable: Cost
Equation: C = 2x + 6
Step-by-step explanation:
The independent variable (x) is the variable that is manipulated. In this instance, that would be the number of hours a person rents out the bike.
The dependent variable (C) is the variable that is manipulated depending on the value of the independent variable. In this instance, that would be the total cost for renting the bike.
The total equation would be C = 2x + 6. The coefficient, 2, represents the charge of $2 per hour and the 6 represents the starting charge of $6.
episode the ratio of males to females were 3 to 9 if there are 360 people at the fair how many males are there exact answer
Answer:
90 males
Step-by-step explanation:
3 males plus 9 females is 12 overall.
360/12 is 30 for each "1".
30 multiplied by 3 males is 90 males.
Hopefully that made sense. Sorry I'm bad at explaining.
Tom works at a car dealership selling cars. If he makes $4000 a month and $250 per car he sells, how much did he
make in July if he sold 12 cars? In August he made $6500, how many cars did he sell?
Answer:
Answer = he made 7,000 in July and sold 10 cars in august.
Step-by-step explanation:
4 Times the sum of a number and 6 is 5 less than 3 times the same number. write an equation and solve for the number
Answer:
-29
Step-by-step explanation:
4× (x+6) = -5. + 3x
4 times the sum of a number is 5 less than 3 times the same number
4×(x+6) = 3x - 5
4x + 24 = 3x - 5
x = -29
lim x ->0 ln(1+5x)/2x
answer
−>0(1+5)/2
hope it helps
One side of a rectangle is 4 ft longer than four times another side. The area of the rectangle is 440 ft?.
Find the length of the longer side.
Answer:
One side is 87.2 The other side is 352.8
Step-by-step explanation:
(4x+4)*x=440
5x+4=440
5x=436
x=87.2
(4(87.2)+4)=352.8
The manager is checking the results of the customer satisfaction surveys. The ones he has looked at have scores of 79%, 92%, 71%, and 86%. What score must be on the next survey to have a mean average of exactly 85% for the five surveys?
Answer:
97%
Step-by-step explanation:
for such a question we can use the percentage numbers like real unit numbers, as we need to analyze just the percentage numbers and align them with another percentage number with the result of another percentage number.
so, we just use the percentage numbers and deal with mean values and such like with real unit numbers.
therefore we need to find x
(79 + 92 + 71 + 86 + x) / 5 = 85
as the sum of all numbers divided by the number of measurements is the mean value.
and so,
79 + 92 + 71 + 86 + x = 425
328 + x = 425
x = 97
so, the next site must be 97%, so that the average for the 5 surveys will be exactly 85%
The area of a circle, in terms of
π
, is 40
π
m2.
Find the value of the radius.
Give your answer as a simplified surd
We have a formula that the area of a circle = radius squared multiply with π so the radius is the square root of the divison of the area of a circle and π
R= nearly 3.568 m.
Can you understand?
PLS HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT!
Answer:
3 feet
Step-by-step explanation:
The equation modeled by this throw is
-16t^2+8t+2
Using the vertex x coordinate formula of -b/2a,
we find that the x coordinate of the vertex is 0.25. Subbing 0.25 seconds for t into -16t^2+8t+2, we find out that the y value of the vertex is 3. This means the highest point reached by the ball is 3 feet and this takes 0.25 seconds
find the GCF from the two numbers and rewrite the sum using nthe distributive property
24 + 36
Answer:
The greatest common factor is 6.
Step-by-step explanation:
Greatest common factor is 6. If you use the distributive property then the answer would be 6(4) + 6(6) or 6(4+6). Then you distribute the 6 to each digit and should get 24+36.
Find the value of x.
Answer:
x = 8
Step-by-step explanation:
Since all the angles are congruent, this is an equilateral triangle. With an equilateral triangle, all sides are equal.
How would you write a gain of 16 points as an absolute value?
calculate the absolute value
| 4 - 3x | = 5x + 4
Recall the definition of absolute value:
• |x| = x if x ≥ 0
• |x| = -x if x < 0
So we have 2 cases to consider:
• If 4 - 3x ≥ 0, then |4 - 3x| = 4 - 3x, and we have
4 - 3x = 5x + 4
8x = 0
x = 0
• If 4 - 3x < 0, then |4 - 3x| = -(4 - 3x) = 3x - 4, which gives
3x - 4 = 5x + 4
2x = -8
x = -4
However, keep in mind that |x| is always non-negative. If x = -4, then the right side of the equation becomes
5(-4) + 4 = -20 + 4 = -16 < 0
so the solution in this case is extraneous.
A group of friends in Chicago watched a televised bullfight. They ordered 3 pizzas ($15 each), 15 drinks ($1.50 each), and 6 large nachos ($5.80 each). After adding 5% and a 20% tip to the total, what did they pay for the food? (The tip is 20% of the total before the tax is added) around the answer to the nearest while cent
Answer:
$127.875
Step-by-step explanation:
cost of 3 pizzas= $15*3
cost of 3 pizzas=$45
cost of 15 drinks=$1.50*15
cost of 15 drinks=$22.5
cost of 6 nachos=$5.80*6
cost of 6 nachos=$34.8
Total cost = pizza cost+ drinks+nachos
total cost=$45+$22.5+$34.8
total cost=$102.3
Now ,
Tip cost=$102.3*20%
=$20.46
tex cost=$102.3*5%
=$5.115
Bill which all friends pay=total cost+ tip cost+tex cost
= $102.3+$20.46+$5.115
=$127.875
what is the value of this rectangular prism 4/5 3/2 5/3
Answer:
2
Step-by-step explanation:
the volume of the rectangular prism =
4/5 × 3/2 x 5/3 = (4×3×5)/(5×2×3)
= 60/30 = 2
[tex]\\ \rm\longmapsto Volume=LBH[/tex]
[tex]\\ \rm\longmapsto Volume=\dfrac{4}{5}\times \dfrac{3}{2}\times \dfrac{5}{3}[/tex]
[tex]\\ \rm\longmapsto \dfrac{60}{30}[/tex]
[tex]\\ \rm\longmapsto 2units^3[/tex]
help asap!!!!!!!!!!!!!!!!!!!!!!!
Answer:
part 1: c is the total cost of the 3 pounds of oranges.
part 2: 3 pounds of oranges cost c dollars and 1 pound of oranges is unknown.
part 3: 1c÷3
100,000,000, + 500,000,000 equals
700,000,000
y a i ta
Step-by-step explanation:
100,000,000 + 500,000,000 = 600,000,000
Okay imma ask a question and The first person to answer and get it correct wins and I will give you a Brillantest
196x84-23+56-109+54x345-56+34x856=
Answer:
yoooo it equals 1
Step-by-step explanation:
Write the perimeter of the triangle as a simplified expression
Perimeter=sum of sides
[tex]\\ \qquad\quad\sf\longmapsto Perimeter=6y+3y+5+y-4[/tex]
[tex]\\ \qquad\quad\sf\longmapsto Perimeter=6y+3y+y+5-4[/tex]
[tex]\\ \qquad\quad\sf\longmapsto Perimeter=9y+y+1[/tex]
[tex]\\ \qquad\quad\sf\longmapsto Perimeter=10y+1[/tex]
The simplified expression of the perimeter of the given triangle is 10y + 1
Use the concept of a triangle defined as:
A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
In the given figure:
Hypotenuse = 6y
Perpendicular = 3y + 5
Base = y - 4
The perimeter of a triangle = Hypotenuse + Perpendicular + Base
Therefore,
Perimeter of the triangle = 6y + 3y + 5 + y - 4
Perimeter of the triangle = 10y + 1
Hence,
The perimeter of the triangle is 10y + 1.
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Term 1 2021 MTH 1100 XTIB
=
Write this ratio as a fraction in lowest terms
80 minutes to 30 minutes
Answer:
8/11
3/11
Step-by-step explanation:
hope this helps!
There are 2 containers of milk in Eric’s refrigerator. One has 3/5 gallon of milk. The other has 3/4 gallon of milk. How many gallons of milk are in Eric’s refrigerator?
answer
27/20
Step-by-step explanation:
3/5+3/4
12+15= 27
lcm= 20
Can someone help me quick!
2[5 + 2(8 - 6)]
Answer:
2(5+2(2))=
2(5+4)=
2(9)=
18
Step-by-step explanation:
The inequality - 15<-6 is given. Write the inequality you get when you perform the
following operation.
Divide both sides of the inequality by 3.
Answer:
-5
Step-by-step explanation:
-15<-6=-15
-15÷3
=-5
Inequalities are used to show unequal expressions. There are five inequalities, and they are: not equal to, greater than, less than, greater than or equal to and less than or equal to.
The inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]
Given that:
[tex]-15 < -6[/tex]
Divide both sides by 3
[tex]-15 \div 3< -6 \div 3[/tex]
Evaluate the division
[tex]-5< -2[/tex]
Hence, the inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]
Read more about inequalities at:
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Show how find 42 x 27 using an area number
Answer:
First break it down
42= 40 & 2
27= 20 & 7
Then times 40 & 20 to get 800
20 x 2 to get 40
40 x 7 to get 280
7 x 2 to get 14
Now add them all together.
800 40 1080
+280 +14 + 54
---------- ------- ---------
1080 + 54 = 1134
Which of the following fractions converts to a repeating decimals
Step-by-step explanation:
The answer is a option.
hope it helps