Isabelle has $5.45 in her purse. If she has five more nickels than dimes, and twice as many quarters than dimes, how many of each type of coin does she have?
Answer:
Nickel = 13
Dimes = 8
Quarters = 16
Step-by-step explanation:
Let N denote Nickel,
Let D denote dime
Let Q denote quarter
Now, from online conversions;
1 nickel = 5 cents
Also, 1 dime = 10 cents
Also, 1 quarter = 25 cents
Isabelle has $5.45 which is also 545 cents.
Thus, we have;
5N + 10D + 25Q = 545 - - - (eq 1)
We are told that;
she has five more nickels than dimes, and twice as many quarters than dimes.
Thus;
N = D + 5
Also, Q = 2D
Plugging them for N and Q in eq 1 givens;
5(D +5) + 10D + 25(2D) = 545
5D + 25 + 10D + 50D = 545
25 + 65D = 545
65D = 545 - 25
65D = 520
D = 520/65
D = 8
Thus; N = D + 5 = 8 + 5 = 13
Q = 2D = 2 × 8 = 16
Need help with this please answer :( I’m not good at math at all
5x + 4y = -7
-5x - 2y = 1
Answer:
y=-3
x=1
(1,-3)
Step-by-step explanation:
5x+4y=-7
-5x-2y=1
Cancel +5x - 5
2y=-6
y=-3
5x-12=-7 or -5x+6=1
5x=5 -5x=-5
x=1 x=1
Answer:
y = -3, x = 1
or
(1, -3)
Step-by-step explanation:
5x + 4y = -7
-5x - 2y = 1
add the two equations together
0x + 2y = -6
2y = -6
2y/2 = -6/2
y = -6/2
y = -3
now substitute y = -3 into either of the equations
5x + 4y = -7
5x + 4(-3) = -7
5x - 12 = -7
5x = -7 + 12
5x = 5
x = 1
The lowest temperature recorded in Canada was -63 degrees. The highest temperature recorded in Canada was +45 degrees. What is the difference between the temperatures?
Answer:
108 degrees difference.
Step-by-step explanation:
63+45=108
Answer:
108
Step-by-step explanation:
45--63=108
Hope you have a great day!
Which system of equations is equivalent to the following system?
2x + 4y = 14
4x + y = 20
A.) 2x + 4y = 14
-16x - 4y = -80
B.) 2x + 4y = 14
-4x + y = -20
C.) 4x + 8y = -28
4x + y = 20
D.) 0-2x - 4y = 14
4x + y = 20
Answer:
A
Step-by-step explanation:
Given :
2x + 4y = 14 ---------- eq 1
4x + y = 20 ---------- eq 2
if you multiply eq 2 by -4 on both sides, you get
-4 (4x + y = 20) = -4 (20)
-16x -4y = -80 --------- eq3
we can see that eq. 1 and eq 2 together forms the system of equations presented in option A, Hence A is equvalent to the orginal system of equations given in the question.
The system of equations which is equivalent to the [tex]2x + 4y = 14[/tex],[tex]4x + y = 20[/tex] is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].
What is system of equations?System of equations comprises of two or more equations and seeks common solutions to the equations.
We have,
[tex]2x + 4y = 14[/tex] [tex]........(i)[/tex]
[tex]4x + y = 20[/tex] [tex]........(ii)[/tex]
Now,
To check that which option suits best for system of equation,
Lets multiply equation [tex](ii)[/tex] by [tex](-4)[/tex],
[tex](-4) (4x + y) = (-4)*(20)[/tex]
[tex]-16x-4y=-80[/tex],
So, this above obtained equation is in option [tex](A)[/tex].
Hence, we can say that the system of equations which is equivalent to the [tex]2x + 4y = 14[/tex] ,[tex]4x + y = 20[/tex] is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].
To know more about system of equations click here
https://brainly.com/question/21620502
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Help plssssssssssssssssss
Answer:
B
Step-by-step explanation:
Answer:
x=5
Step-by-step explanation:
7x+13=48
-13 -13
7x=35
7x/7=35/7
x=5
Math question help for points
6+5(9/3)²
Answer:
51 mate
Step-by-step explanation:
Answer:
51 srry if im wrong
Step-by-step explanation:
9. At Ethan's tree Farm, the taller trees are braced by wires that extend 2 feet below the top of a tree, to a stake
in the ground. What is the tallest tree that can be braced with a 25-foot wire staked 15 feet from the base of the tree?
Answer:
22'
Step-by-step explanation:
25^2=15^2+x^2 where x=tree height less the 2' from the top
x=20'
Add the 2' from wire connection to top of tree.
22'
Find the value of each of the following
Answer: C
Step-by-step explanation:
2001 is the square number of
1007 is the square number of
Answer:
2001 is the square number of
Exact Form: √2001
Decimal Form: 44.73253849…
1007 is the square number of
Exact Form: √1007
Decimal Form: 31.73326330…
Step-by-step explanation:
Answer:
Square of 2001 is 44.73. Rounded to the nearest hundredth
Square of 1007 is 31.73. Rounded to the nearest hundredth
A team of 9 tennis players can order bags with their uniforms
Answer:
C
Step-by-step explanation:
Solve the system of equations.
7x + 6y = -1
--x + 2y = 3
Answer:
X=-1
Y=1
Solve using Elimination.
Step-by-step explanation:
Multiply the second equation by 7.
The two equations are now:
7x+6y=-1
-7x +14y=21
Combine the two equations
7x and -7x cancel each other out, 14y+6y is 20y, and 21 - 1 is 20.
The equation is now
20y=20, divide 20 on both sides to get Y=1.
Now, substitute 1 as Y in the second equation for -x+2(1)=3
-x+2=3, can be simplified, by subtracting 2 from both sides. Giving us
-x=1.
Divide both sides by -1 for X=-1
Final answers being X=-1, Y=1
Hope this helps! Let me know if you have further questions!
22 + 4 X 11
2. 26 +2 —
4 + 12
Answer:
304.28 is the answer you will get if you add all of that up
A soccer team won 11 games last year. This year they won 13 games. What was the percent increase in the number of games won? Round your answer to the nearest whole percent.
Answer:percent increase in the number of games won= 18%
Step-by-step explanation:
Number of game won last year = 11
Number of games won this year = 13
Percent increase = Increase in number of games won/ Number of games won lasT year ) X 100
= (13-11)/ 11 X 100
2/11 X100
=18.18= 18%
help plsssssssssssssss
Answer:
The golf ball is 2 times as likely to be orange as it is to be pink
Step-by-step explanation:
Anyways, i hope this is right and i hope i helped!
16+x=-34
Solve the equation for the value of the variable show all work help please:):)
Answer:
x=-50
Step-by-step explanation:
16+x=-34
take away 16 from each side
x=(-34-16)
x=-50
hey please help me with this
Answer:
The Answer is A(6+3x=30)
Step-by-step explanation:
Because there is one 6, and 3 x's then you simplify the problem to be:
6+3x=30
ANSWER: 6+3x=30 (Answer A)
Answer:
B) 3(X+6)=30
Step-by-step explanation:
The correct equation should be 6+3x=30
B is 3X+18=30
The other equations are the same
c) 3x=30-6 (the next step to solving the equation
d) 30=3x+6 (symmetric property)
need help with this question
Answer:
option b. SSS theorem
Step-by-step explanation:
..............,
One father is 70 inches tall and the residual for his son’s height is 2.5. What is the son’s actual height?
71.7 inches
74.2 inches
76.7 inches
82.3 inches
Answer: C
Step-by-step explanation:
Since the heights of the men are assumed to be normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = heights of the men.
µ = mean height
σ = standard deviation
From the information given,
µ = 70.7 inches
σ = 2.1 inches
The probability that they have a mean height greater than 71.7 inches is expressed as
P(x > 71.7) = 1 - P(x ≤ 71.7)
For x = 71.7
Since n = 36, then
z = (71.7 - 70.7)/2.1/√36 = 2.86
Looking at the normal distribution table, the probability corresponding to the z score is 0.998
P(x > 71.7) = 1 - 0.998 = 0.002
Every day of the week. Jordan eams $4 per hour for delivering newspapers He also earns a weekly bonus of $14 if he arrives on time to work each day Last week Jordan arved on time to work every day and earned a total of $108 for h hours of work Based on this situation, which belongs to p in the form px + q = ?
Answer:
(D) Jordan worked a total of 21 1/2 hours.
Step-by-step explanation:
Solution: m=money made
h=hours worked
m=$4(h)+$10
$96=$4(h)+$10 subtract the 10
$86=$4(h) divide by 4
21.5=h
Translate the following into an algebraic expression: "five less than the product of 7 and
the square root of a number" can be written as:
05 – 71x
0 √5 - 7x
O 7x – V5
07/2o 5
Answer:
if i am not mistaken i believe it is 0 √5 - 7x
Step-by-step explanation:
What is the slope of the line?
Answer:
The slope is 1/2
Step-by-step explanation:
I did rise over run
6th grade math !!!!!!!!!!!!
Answer:
1. G
2. E
3. C
Step-by-step explanation:
Multiply the number on the outside by both on the inside.
Answer:
C,E,G
Step-by-step explanation:
Multiply the number out of the parenthesis to both of the ones in the parenthesis
If x = ─7 and y= 3 , find i) x+y ii) xy iii) xꓥ2 + yꓥ2 WHAT IS THE ANSWER
Answer:
Step-by-step explanation:
1. X + y
Putting values of x and y
-7 + (-3)
= - 10
2. xy
Putting values of x and y
(-7)(-3)
= 21
3. x2 + y2
Putting values of x and y
= (-7)2 + (-3)2
= 49 + 9
= 58
The sum of 8 times a number and 7 equals 3.
Answer:
8x + 7 = 3 (x = -0.5)
Step-by-step explanation:
I think this is the equation for what you said
If this is the right equation then x would equal -0.5
(hope this helps)
Answer:
[tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
"The sum of 8 times a number (x) and 7 equals 3."
Let, "a number" = x
8x + 7 = 3
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and equals:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction.
First, subtract 7 from both sides of the equation:
8x + 7 (-7) = 3 (-7)
8x = 3 - 7
8x = -4
Next, divide 8 from both sides of the equation:
(8x)/8 = (-4)/8
x = -4/8
x = -1/2
-1/2 is your number, or -0.5
~
Robin’s fiancé bought her a $4500 wedding ring from the Shane Company. It is now worth $5400. What is the percent of increase?
SOMEONE HELP MEH...
Tonya has 5/9 yards of ribbon and is sharing it with Terri by cutting it in half. How much ribbon will each girl have?
Group of answer choices
1_1/9
5/9
5/18
45
Answer:
I think it's the first or third
Answer:
5/18
Step-by-step explanation:
So the total is 5/9 yard of ribbon, cut it in half means dividing it into 2
5/9 ÷ 2 = 5/9 * 1/2 = 5/18
True or False, the below is a right triangle: a = 14, b = 16, c =18
Answer:
true
Step-by-step explanation:
this is true because you have to solve each equation and then u get your answer
Umm what do I do here?
Answer:
X is equal to 1.2
Step-by-step explanation:
6/5 equals 1.2
i don't have to sound rude but can i have brainliest please i need 4 more :')
What is the volume of the rectangular prism?
Help please
Answer:
Step-by-step explanation:
you got this i believe in you!
I need help quick 16 mins left and I’m on the last question
Answer:
try 2+2 that should work