Answer:
76 quarters and 83 dimes
Step-by-step explanation:
From the information given, you can write the following equations considering that a quarter represents $0.25 and a dime $0.10:
y=x+7 (1)
0.25x+0.10y=27.30 (2)
x is the number of quarters
y is the number of dimes
Now, you can replace (1) in (2):
0.25x+0.10(x+7)=27.30
0.25x+0.10x+0.7=27.30
0.35x=27.30-0.7
0.35x=26.6
x=26.6/0.35
x=76
Then, you can replace the value of x in (1) to find the value of y:
y=76+7
y=83
According to this, the answer is that there are 76 quarters and 83 dimes in the jar.
There are 76 quarters and 83 dimes in the jar.
GivenThomas collects dimes and quarters in his change jar.
If he has 7 more dimes than quarters, and the total amount of money in the jar is $27.30.
Let, x be the number of the dimes.
And y be the number of quarters.
If he has 7 more dimes than quarters,
[tex]\rm y=x+7[/tex]
The total amount of money in the jar is $27.30.
[tex]\rm 0.25x+0.10y=27.30[/tex]
Substitute the value of y in equation 2
[tex]\rm 0.25x+0.10y=27.30\\\\ \rm 0.25x+0.10(x+7) =27.30\\\\ 0.25x + 0.10x + 0.7= 27.30\\\\0.35x=27.30-0.7\\\\0.35x=26.6\\\\x = \dfrac{26.6}{0.35}\\\\\rm x =76[/tex]
Substitute the value of x in equation 1
[tex]\rm y = x+7\\\\y =76+7\\\\y=83[/tex]
Hence, there are 76 quarters and 83 dimes in the jar.
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How do you know if a given relation is a function or not a function?
Answer:
In general, a relationship f (x) = y is a function only if, for each value of x that you plug into it, you get only one value for y.
Step-by-step explanation:
Sometimes the only way to tell if a given relationship is a function or not is to try various values for x to see if they yield unique values for y.
Can someone help please!!!!!
Answer:
x
[tex] {x}^{2} - 3 [/tex]
1. y = -2 √(25-x ) +8
2. y = -3 √(x+ 9) +4
Please help
X AND Y INTERCEPTS
1st Answer:
x = 9
Step-by-step explanation:
first you want to substitute the y
0 = -2 √(25 - x + 8)move the expression to the left
2 √(25 - x) = 8divide both sides
√25 - x + 4move the constant to the right
25 - x = 16calculate
-x = -9change the signs
x = 92nd Answer:
x = -65/9 OR x = - 7 2/9, x = - 7.2
Step-by-step explanation:
first you want to substitute the y
0 = -3 √(x + 9) = 4move the expression to the left
3√(x+9) = 4divide both sides
√(x+9) = 4/3move the constant to the right
x = 16/9 - 9calculate
x = -65/9
2nq = 3 + 7nq I'm doing math rn and I have trouble solving this
Answer:
nq = -3/5
Step-by-step explanation:
2nq = 3 + 7nq
5nq = -3
nq = -3/5
is /62 rational or irrational
Answer:
yes it is rational
Step-by-step explanation:
it is rational because if 62 can be expressed as a ratio, then a quotient is the result you get when you divide one number by another number. For 62 to be a rational number, the quotient of two integers must equal 62. it can be expressed as a fraction in the form 62/1
Zara has forgotten her 4-digit PIN code. She knows the first digit is a factor of 20 and the 4 digits make a number divisible by 5. How many different sets of 4 digits could it be?
Answer:
800 different sets of digits.
Step-by-step explanation:
Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.
For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.
So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits
800 different sets of 4 digit PIN could be made.
The First (single) digit is a factor of 20. So, it is among 1, 2, 4, 5. The other factors 10 & 20 are ignored, as they are 2 digits.So, ways of choosing 1 out of 4 digits = 4 P 1 = 4
The Second digit can be any digit among he 10 digits : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9So, ways of choosing 1 out of 10 digits = 10 P 1 = 10
Third digit can also be any digit among he 10 digits : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9So, ways of choosing 1 out of 10 digits = 10 P 1 = 10
The Fourth digit can be amongst only 0 & 1, as the final PIN is divisible by 5.So, ways of choosing 1 out of 2 digits = 2 P 1 = 2
Hence, total number of ways = 4 x 10 x 10 x 2 = 800 ways
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Given f(x) = -5x – 4, solve for x when f(x) = 1.
Answer:
Step-by-step explanation:
-5x - 4 = 1
-5x - 4 = 1
-5x = 5
x = -1
Is 536 cm greater or less then 53.6 DM
Answer:
536 cm is equal to 53.6 dm
Step-by-step explanation:
Answer:
=
Step-by-step explanation:
On Saturday, the fruit and juice bar was selling 29 glasses of fruit punch an hour. By 7 p.m., they had sold 261 glasses. If their goal was to sell more than 348 glasses of fruit punch, find the number of hours, h, they must stay open to make their goal.
Answer:
they did not meet their goal
Step-by-step explanation:
How many solutions does the equation: 4x-8=2(2x-4) have?
I keep getting different answers. Can somone explain how I would set it all up?
Answer:
MY=80
Step-by-step explanation:
MX=MY ( since M is the midpoint)
2x+10=3x-5
10+5=3x-2x
15=x
MX+MY=MX
2x+10+3x-5=MY
2(15)+10+3(15)-5=MY
MY=80
it tom had 6 bottle of dish soap and he times 3 how many dish soap do he had all together
Answer:
18 dish soaps
Step-by-step explanation:
Answer:
it's 18 dish soap dish bottle.
Step-by-step explanation:
Grant is painting a rectangular board that has a width of 1/3 foot. He has enough paint to cover 3 square feet. If he is able to cover the whole board by using all of his paint, what is the length of the board in feet?
Answer:
l=9 feet
Step-by-step explanation:
area of rectangle=l*w
3=1/3 l
length=9 feet
A researcher needs 60 L of 50% concentrate solution for a certain experiment, but she has only 30% solution and 70% solution. How many liters of the 30% and the 70% solutions should she mix to get what she needs?
Answer:
30 liters of 30% solution and 30 liters of 70% of solution should be mixed by the researcher to get 60 liters of 50% solution.
Step-by-step explanation:
Let 'x' liters of 30% solution and 'y' liters of 70% solution are added together to get the required 60 liters of 50% of the solution.
According to the question, 30% solution and 70% solution are mixed and so, we get
[tex]0.3x+0.7y=0.5 \cdot 60\\\Rightarrow 0.3x+0.7y=30----(1)[/tex]
Also, sum of the final solution should be 60 liters only so, we get
[tex]x+y=60----(2)[/tex]
Solving equations (1) and (2), we get
[tex]x=30 liters\\ y=30 liters[/tex]
Hence, we can say that 30 liters of 30% solution and 30 liters of 70% of solution should be mixed by the researcher to get 60 liters of 50% solution.
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Max's grandparents have $6000 that they want to give to him and his brother Sam. They like Sam more than Max, so they plan to give Sam 4 times the amount they will give Max. Determine the amount of money that Sam will get. Sam's Amount=$
Answer: Same will get $4800
Step-by-step explanation:
If Sam will get 4 times the amount of money they will give Max then we can come up with the equation s = 4m where s is the amount that same get and m is the amount that Max will get.
And we know that if they combine their money they will have $6000 in total so we can also come up the equation s + m = 6000
So using the equation
s= 4m and s+m=6000 substitute the value of x into the second equation and sole for m ..
4m + m = 6000
5m = 6000
m = 1200
So we know that Max will get $1200 and Sam will get 4 times as much as that.
s= 4(1200)
s = 4800
if x+y=3, x²+y²=5 then find the value of xy
Answer:
[tex]\huge\boxed{xy = 2}[/tex]
Step-by-step explanation:
=> [tex]\sf (x+y)^2 = x^2 + y^2 + 2xy[/tex]
Given that [tex]\sf x + y = 3 , x^2 + y^2 = 5[/tex]
=> [tex]\sf (3)^2 = 5 + 2xy[/tex]
=> [tex]9 = 5 + 2xy[/tex]
=> [tex]9-5 = 2xy[/tex]
=> [tex]4 = 2xy[/tex]
Dividing both sides by 2
=> 2 = xy
OR
=> xy = 2
Which set of numbers does not contain 70? A) whole numbers B) irrational numbers C) integers D) natural numbers
Answer:
B) Irrational numbers
Step-by-step explanation:
The given number is [tex]70[/tex].
We know the number which doesn't have any fractional part or decimal part is an integer. Here, there is no fractional part with the number 70, so this is an integer.
This is one of counting numbers from the set of [tex]\{ 1,2,3,4,5,...\}[/tex], so this is a natural number.
Also, this belongs to the set of whole numbers [tex]\{0,1,2,3,...\}[/tex].
But, [tex]70[/tex] can be written in the form of [tex]\frac {p}{q}[/tex] as [tex]70= \frac {70}{1}[/tex] where [tex]p=70[/tex] , [tex]q=1[/tex] are integers and [tex]q \neq 0[/tex], so this is a rational number.
We know that any number that belongs to the rational number is not an irrational number.
Hence, [tex]70[/tex] does not belong to the set of irrational numbers.
So, option [tex](B)[/tex] is correct.
Answer:
the correct answer is b
Step-by-step explanation:
i took the test
100 points Write a function g whose graph represents the indicated transformation of the graph of f. f(x) = (1/2)x - 5; reflection in the x-axis a g(x) = (1/2)x - 5 b g(x) = -(1/2)x + 5 c none d g(x) = -(1/2)x - 5 e g(x) = (1/2)x + 5
-3/4=x/26 solve, please .
Answer:
x=39/2 or 19.5
Step-by-step explanation:
Use Pascal’s Triangle to determine the fifth term of the expansion of (x + 3)7
Answer:
2835x^5.
Step-by-step explanation:
By Binomial Theorem, T(r+1) = nCr * a^(r+1) * b^r.
Term 5 = 7C4 * x^5 * 3^4
= 35 * x^5 * 3^4
= 2835x^5.
Consider a rectangle with width of x units and an area of 10 square units. The length l of the rectangle can be modeled by the function f (x) = StartFraction 10 Over x EndFraction.
Answer:
When we have a rectangle of width W and length L, the area of this rectangle can be calculated as:
A = W*L
In this case we have:
W = x
L = 10/x.
Then the area of the rectangle will be:
A = W*L = x*(10/x) = 10
So the value of x cancels in the equation, which means that we can not find the value of x.
Now, as L = 10/x we can find some restrictions:
if x = 0, we would have L = 10/0
So we can not have x = 0.
And as W = x, this represents a positive measure, we also have that x can not be a negative number.
So the relation:
W = x
L = 10/x
Gives us all the possible combinations of width and length such that the area of the rectangle is exactly 10 square units.
Answer:
third graph
Step-by-step explanation:
Find the value of y if EF = EG.
Answer:
55°Step-by-step explanation:
The question lacks appropriate diagram. Find the diagram in the attachment.
From the diagram, it can be seen that the triangle is an isosceles triangle because two of its sides are parallel (i.e the same). Since two of the sides are the same, hence the two base angles will be the same.
From the diagram, <EFG = <EGF
Since <EFG = 55° hence <EGF = y = 55°
Hence the va;ue of y is 55°
True or false: Axioms and postulates are statements that are accepted as true because they have been proven using logic and deductive reasoning. A: this statement is false. Axioms and postulates are statements that are accepted as true without proof. B: this statement is false. Axioms and postulates are statements that have not been shown to be true or false. C: this statement is true. D: this statement is false. Axioms and postulates are statements that are discarded as false because they have been disproved.
Answer:
C: this statement is true
Step-by-step explanation:
Axioms and postulates are statements that are accepted as true because they have been proven using logic and deductive reasoning.
They present themselves as self-evident. These are universally accepted and general truth.============
A: this statement is false. Axioms and postulates are statements that are accepted as true without proof.
False. They have been proven numerous of timesB: this statement is false. Axioms and postulates are statements that have not been shown to be true or false.
False. There are many evidences that they are trueC: this statement is true.
TrueD: this statement is false. Axioms and postulates are statements that are discarded as false because they have been disproved
False. They have not been disprovedFind the equation of the line shown
Answer:
y=1/2x+0
Step-by-step explanation:
Since the slope is 1/2 and it starts at the origin, the b value is 0.
Answer:
1/2x
Step-by-step explanation:
1
y = -x - 7
2
How do I graph that?
here is the graph for 1 y = -x - 7 2
Answer:
Slope: [tex]-1[/tex]
y-intercept: [tex](0,72)[/tex]
Step-by-step explanation:
[tex]1y=-x-72[/tex]
Look down below for graph.
Hope this helps!
An archaeologist earns $9147 monthly. Determine the amount he is paid annually.
How many ways are there to make 14 cents using any combination of pennies, nickels and dimes?
Please help! (Will give brainliest answer and hearts) Thank you and have a nice day!
Answer:
It's D
Step-by-step explanation:
I need the answer asap
Answer:
y=1/5x+7/5
Step-by-step explanation:
Write the algebraic expression of "What is the sum of 2"