Answer:
6 quarters and 9 nickels
Step-by-step explanation:
alright so this took me like an hour or two to figure out cause I'm stubborn. but I wanted to give an in depth answer
..
1) first we need to know how to write it.
___=___+___
1.95 is the full value of all of the coins so it goes here. (___)=___+___
1.95=___+___
We will use q for number of quarters and n for number of nickels. the value of a quarter .25 and the value of a nickel is .05. put the value of a quarter here. ___=(___)+___
1.95=.25q+___
we will put the value of the nickel here ___=___+(___)
1.95=.25q+.05n
now that we know how to write it, we can move onto step two.
2) figuring out what variable n is
n=___
Since we know that there are three more nickels than quarters, we can start to solve this equation.
n=q+3
3) change (n) to (q+3). dont forget to use parenthesis!
1.95=.25q+.05(q+3)
4) i forget what its called but multiply .05 throughout your parenthesis. ill show you.
1.95=.25q+.05(q+3)
.05*q= .05q and .05*3=.15
1.95=.25q+.05q+.15
5) add variables together.
1.95=.30q+.15
6) subtract .15 from both sides to get rid of it.
1.95=.30q+.15
-.15 -.15
1.80=.30q
7) divide .30 from both sides to isolate the q and get the answer of quarters
1.80=.30q
/.30 /.30
6=q
8) add three to the number of quarters to get the number of nickels.
6+3=9 nickels
Here we need to create and solve a system of equations to find the number of coins in the piggy bank.
We will see that there are 6 quarters and 9 nickels.
let's define the variables:
x = number of nickels in the piggy bank
y = number of quarters in the piggy bank.
Knowing that the total value of the coins in the piggy bank is $1.95, then we have:
x*$0.05 + y*$0.25 = $1.95
We also know that there are 3 more nickels than quarters, then we also have:
x = y + 3
Then the system of equations is:
x*$0.05 + y*$0.25 = $1.95
x = y + 3
To solve this, we can see that x is isolated in the second equation, so we can replace it in the other equation to get:
(y + 3)*$0.05 + y*$0.25 = $1.95
Now we can solve this for y:
y*$0.05 + 3*$0.05 + y*$0.25 = $1.95
y*$0.30 + $0.15 = $1.95
y*$0.30 = $1.95 - $0.15 = $1.80
y = ($1.80)/($0.30) = 6
So we have 6 quarters.
Then the number of nickels is given by:
x = y + 3 = 6 + 3 = 9
x = 9
There are 9 nickels.
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URGENT!!! James has $40 to spend. He wants to buy two tickets to a show. He has to spend $7 to get to where tickets are sold. The following inequality can be used to find out the highest price James can afford to pay for each ticket. 2r +7 23.5 Or> 16.5
Answer: If James has 40 to spend then he has 33 for the two tickets he also has to get back so thats 26.
Step-by-step explanation:
Single-tickets sell for $20 each and a couple-tickets for $35 each. A total of 160 tickets are
sold, and the total value of the ticket is $4100. How many of each kind of ticket were sold?
Answer:
100 of the 20$ tickets, and 60 of the 35$ tickets
Step-by-step explanation:
20*x + 35*y = 4100
x + y = 160
That means x = 160 - y, put this into the first equation
20(160 - y) + 35y = 4100
3200 - 20y + 35y = 4100
15y + 3200 = 4100
15y = 900
y = 60
Put y = 60 into the second equation and
x + 60 = 160
x = 100
y = 60, x = 100
Double check that this works for both equations to make sure its right
20 * 100 + 35 * 60= 4100
2000 + 2100 = 4100 /Correct
100 + 60 = 160 /Correct
It costs $200 for 12 piano lessons . Solve for unit rate or price per one lesson . Can someone help me please ?
Answer:
it is 16 dollars
Step-by-step explanation:
if you divide 200 by 12 it is 16 aka i used my calculator
Answer:
each lesson would cost $16.70
4. Which value of n makes the equation 6.4n – 1.2 + 3n + 8.2 = 19.22 true?
A fruit juice company includes 1.197 ounces of apple juice in a 6.75-ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT apple juice?
The required amount of mixed juice without the apple juice is 5.553.
Given that,
A fruit juice company includes 1.197 ounces of apple juice in a 6.75-ounce bottle of mixed fruit juice. To determine how much of the bottle of mixed fruit juice is NOT apple juice.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
The total amount of mixed juice = 6.75 ounces,
Amount of apple juice contains = 1.197
Amount of mixed jo=uice without apple juice = 6.75 - 1.197 = 5.553
Thus, the required amount of mixed juice without the apple juice is 5.553.
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You have $700 to buy new carpet for your bedroom right and solve in any quality that represents the cost per square foot that you can pay for the new carpet. Specify the units of measure in each step
If you can show the steps it’ll be helpful
Reduce the fraction 12/24 to the simplest form. Make sure that it can not be simplified any further. *
6/12
1/2
4/8
please awnser soon
The simplest form of the number 12/24 is,
⇒ 1 / 2
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The fraction is,
⇒ 12 / 24
Now, We can simplify the fraction in simplest form as;
⇒ 12 / 24
⇒ 6 / 12
⇒ 3 / 6
⇒ 1 / 2
Thus, The simplest form of the number 12/24 is,
⇒ 1 / 2
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How much interest is earned on $470 at
4% for seven years?
the sum of max's age (x) and his sister's age (y) is 8
Answer:
Ages: 4 and 4
Equation: 4+4=8
Step-by-step explanation:
x+y=8
4+4=8
Who ever answers this first gets brainlist
What is 6^8
Answer:
1679616
Step-by-step explanation:
Answer:
1679616
Step-by-step explanation:
Use elimination to solve and match each system of equations to the correct solution. 3x+y=11 5x-y=21 Help with this one I’ll give u brainliest
Answer:
Step-by-step explanation:
3x + y = 11
5x - y = 21
8x = 32
x = 4
3(4) + y = 11
12 + y = 11
y = -1
(4, -1)
Please Help!! 10 Points!! brainliest answer
Answer:
The answer is d because they are similar
Step-by-step explanation:
Given h(x) = –3x – 5, solve for x when h(x) = –2.
Answer:
1
Step-by-step explanation:
h(-2)=-3(-2)-5
h(-2)=6-5
h(-2)=1
h(-2)=1
x=-2, but i'm assuming you want h(x)
help me if u can q is below
Step-by-step explanation:
C = 25p
p = number of people
C = Total cost of admission
For 4 people, Total cost is
C = 25 × 4 = 100 dollars
2x+y = 43
(2x+24-30)-2
steve cycled 35 miles
Answer:
yes pls continue we need full questions
No time is thinking of a six digit number in which all the digits are the same the value of the digit in the thousands place is 8000 what is new Times number
Answer:
The number is 888888
Step-by-step explanation:
Here, we are interested in knowing the six digit number thought of by No time.
The clue we have here is that the six digit number has same value of digit for all its constituent.
Thus, if the digit in the thousands place is 8,000, then it actually means that it carries a value of 8 and thus, all the digits in the number is 8 alone.
So the 6 digit number is 888888
The number of hot dogs Ryan can eat varies directly with the amount of time he spends eating. If Ryan can eat 14 hot dogs in 6 minutes, how many hot dogs can he eat in 15 minutes? HELPPPPPPPPPPP
Answer:
35
Step-by-step explanation:
Let h represent the number of hot dogs Ryan eats in 15 minutes. Since the rates are the same, we have ...
dogs/minutes = h/15 = 14/6
Multiplying by 15 gives us ...
h = (15·14)/6 = 35
Ryan can eat 35 hot dogs in 15 minutes.
2gallon container of window cleaner costs $15.04. What is the price per cup?
Answer:0.47 cents per cup
Step-by-step explanation:
Since they’re are 32 cups in 2 gallons, we can divide $15.04 by 32 and get the answer
F(x)=9(x-8) find f^-1(x)
Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 9(x - 8) ← divide both sides by 9
[tex]\frac{y}{9}[/tex] = x - 8 ( add 8 to both sides )
[tex]\frac{y}{9}[/tex] + 8 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8
how do I solve 3+k/14=4
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{k = 53}}}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \sf{ \: \: \frac{3 + k}{14} = 4}}[/tex]
[tex] \tt{Step \: 1 \: }[/tex] : Do cross multiplication
[tex] \hookrightarrow{ \sf{3 + k = 4 \times 14}}[/tex]
[tex] \tt{Step \: 2}[/tex] : Multiply the numbers : 4 and 14
[tex] \hookrightarrow{ \sf{3 + k = 56}}[/tex]
[tex] \tt{Step \: 3 \: }[/tex] Move 3 to right hand side and change it's sign
[tex] \hookrightarrow{ \sf{k = 56 - 3}}[/tex]
[tex] \tt{Step \: 4 \: }[/tex] Subtract 3 from 56
[tex] \hookrightarrow{ \sf{k = 53}}[/tex]
The value of k is 53
Hope I helped!
Best regards! :D
~TheAnimeGirl
Answer:
Step-by-step explanation:
k/14 + 3 = 4
k/14 = 1
k = 14
if it is 9:37 what time would it be a hour and a half later
Answer:
it would be 11:07
Step-by-step explanation:
what grade are u in???
Given M is the midpoint of PQ with PM = 1/2x + 5 and PQ = 26, find x.
Yeah
Answer: x = 16
Step-by-step explanation:
PQ = 26
PM = 1/2 PQ (M is midpoint of PQ)
PM= 1/2x + 5 = 1/2 * 26
or x = 2(13 - 5) = 16
The value of x is 16 units.
What is a midpoint of a line ?The midpoint of a line is the point which divide a given line in two equal parts.The formula for midpoint is Mₓ = (x₁ + x₂)/2 and Mₙ = (y₁ + y₂)/2.
(here y is replaced by n).
According to the given question Given M is the midpoint of PQ with PM = 1/2x + 5 and PQ = 26 and we have to find x.
As M is the midpoint of PQ with PM = 1/2x + 5 then MQ can also be represented by 1/2x + 5.
We know
PM + MQ = PQ
1/2x + 5 + 1/2x + 5 = 26.
x + 10 = 26.
x =16.
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An amusement park charges $12 for admission and $1.50 per ride r. Jeremy goes to the park with $42,
The equation that represents this situation is 12 + 1,50r = 42. Determine how many rides r Jeremy can
go on.
Answer:
12+ 1.50r = 42
1.50r = 42-12
1.5r = 30
r= 30/1.5 = 20
Step-by-step explanation:
Can someone help with this
Answer:
[tex]GH=2\sqrt{10}[/tex]
Step-by-step explanation:
Considering each is square is 1x1.
We have the points G(-2, -3) and H(0, 3).
Using the distance formula:
[tex]$d=\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$[/tex]
[tex]$d=\sqrt{(-2 - 0)^2 + (-3 - 3)^2}$[/tex]
[tex]$d=\sqrt{(-2 )^2 + (-6)^2}$[/tex]
[tex]$d=\sqrt{4 +36}$[/tex]
[tex]d=\sqrt{40}=2\sqrt{10}[/tex]
Also, using the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
[tex]2^2+6^2=c^2[/tex]
[tex]4+36=c^2[/tex]
[tex]c=GH=\sqrt{40}=2\sqrt{10}[/tex]
3 - 5y = -37 for math 8th
Answer:
y = 8
Step-by-step explanation:
Step 1: Write equation
3 - 5y = -37
Step 2: Subtract 3 on both sides
-5y = -40
Step 3: Divide both sides by -5
y = 8
samir had 2 apples , he ate 1 how many are left
Answer:
1
Step-by-step explanation:
There was 2 apples. He ate 1.So 2-1=1.
1 apple is left.
Answer: 1
Step-by-step explanation: 2-1=1
What is the square root of 169
Answer:13
Step-by-step explanation:
13^2
At the movies, children's tickets are $6 each and adult's tickets are $10 each.
Shandra buys 14 tickets. Let a be the number of adults going to the movies. Write
an algebraic expression to represent the total price Shandra pays.
Answer:
a + c = 14
14(Pa+Pc) = 10a + 6c
224 = 10a + 6c
Step-by-step explanation:
Price of Children's tickets = $6
Price of Adult's tickets = $10
Shandra buys 14 tickets
Let
Number of adults going to the movie = a
Number of children going to the movie = c
Total price shandra pays = PaQa + PcQc
Where,
Pa = price of adult's tickets
Qa = Quantity of adult's tickets
Pc = Price of children's tickets
Qc = Quantity of children's tickets
Total price = 14(Pa+Pc), that is
a + c = 14
14(Pa+Pc) = 10a + 6c
14(10 + 6) = 10a + 6c
140 + 84 = 10a + 6c
224 = 10a + 6c
Find the domain and range of f(x)=|x|+ cos x
I need help ASAP
Answer:
Domain All real x.
Range f(x) >= 1.
Step-by-step explanation:
The domain is all real numbers.
|x| is always positive.
At x = 0:
f(x) = |0| + cos 0
= 1 which is the minimum value.