Answer:
3, 8, 13, 18
Step-by-step explanation:
please answer 4b + 10 = 70
Answer:
b=15
Step-by-step explanation:
Tran has a coin jar that contains nickels, dimes, and quarters. There are 185 coins in the jar. There are 5 more dimes than quarters. If the total value of the coins in the jar is $25.25 how many quarters does the jar contain?
Answer:
[tex]63[/tex]
Step-by-step explanation:
Let number of nickels be [tex]x[/tex]
Number of dimes be [tex]y[/tex]
Number of quarters be [tex]z[/tex]
Total number of coins is [tex]185[/tex]
[tex]x+y+z=185[/tex]
Number of dimes is 5 more than quarters
[tex]y=5+z[/tex]
[tex]x+(5+z)+z=185\\\Rightarrow x+2z=180\\\Rightarrow x=180-2z[/tex]
Amount of money in the jar is $25.25
[tex]0.05x+0.1y+0.25z=25.25\\\Rightarrow 0.05x+0.1(5+z)+0.25z=25.25\\\Rightarrow 0.05x+0.5+0.1z+0.25z=25.25\\\Rightarrow 0.05x+0.35z=24.75[/tex]
[tex]0.05(180-2z)+0.35z=24.75\\\Rightarrow 9-0.1z+0.35z=24.75\\\Rightarrow 9+0.25z=24.75\\\Rightarrow z=\dfrac{24.75-9}{0.25}\\\Rightarrow z=63[/tex]
[tex]y=5+z=5+63\\\Rightarrow y=68[/tex]
[tex]x=180-2z=180-2\times 63\\\Rightarrow x=54[/tex]
So, the number of quarters is [tex]63[/tex].
Answer:
63 is the correct answer :)
Step-by-step explanation:
On Monday, I sold 5 small Christmas wreaths and 3 large Christmas wreaths for a total of $82. Let x represent the cost of small wreaths and y represent the cost of large wreaths. Write an equation to represent this situation.
Answer:
The equation is, [tex]5x+3y=82[/tex].
Step-by-step explanation:
Let [tex]x[/tex] represent the cost of small wreaths.
So, the cost of [tex]5[/tex] small Christmas wreaths [tex]=5x[/tex].
Let [tex]y[/tex] represent the cost of large wreaths.
So, the cost of [tex]3[/tex] large Christmas wreaths [tex]=3y[/tex].
On Monday, [tex]5[/tex] small Christmas wreaths and [tex]3[/tex] large Christmas wreaths are sold for a total of [tex]\$82[/tex].
The equation is, [tex]5x+3y=82[/tex].
Justin is training to run in a 5-mile race. To practice, he ran 15 miles in one week. How many yards did he run in that week?
Answer:
26,400
Step-by-step explanation:
PLSSSS HELPPPPPP ME WITH MATHHH
Answer:
x = 62
Step-by-step explanation:
If the triangle has two values that are the same like your 6s that means that they have the same angle, so you take the angle(56 degrees) and subtract 180 and 56 making 124. You take 124 and divide it by 2. Making x =62.
algebraic form of the square of the sum of r and t.
BRAINLIEST! URGENT! I need help with this, the parabola is confusing me.
help me out? please !
Answer:
trapezoid
Step-by-step explanation:
The total cost (c) in dollars of renting a car for n days is given by the inequality LaTeX: c\ge125+50nc ≥ 125 + 50 n. What is the maximum number of days for which a car could be rented if the total cost was $425?
Answer:
6 daysStep-by-step explanation:
Given the inequality expression of the total cost (c) in dollars of renting a car for n days as c ≥ 125 + 50n
To get the maximum number of days for which a car could be rented if the total cost was $425, substitute c = 425 into the expression and find n
425 ≥ 125 + 50n
Subtract 125 from both sides
425 - 125 ≥ 125 + 50n - 125
300≥ 50n
Divide both sides by 50
300/50≥50n/50
6 ≥n
Rearrange
n≤6
Hence the maximum number of days for which a car could be rented if the total cost was $425 is 6days
HELP! Can someone please explain to me how to solve this question?
"At what point do the equations intersect? y = 25x + 54 and y = 15x + 14
Answer:
[tex](-3.1, -32.5)[/tex]
Step-by-step explanation:
Set the equations equal to each other: 25x+45=15x+14
Solve for x: 10x = -31
Solve for x: x=-3.1
Plug the x value back into one of the equations to find the value of y:
y = 15 (-3.1) +14
y = -32.5
Answer:
7,68
Step-by-step explanation:
y=2x+54
y=15x+14
you can do elimination so you need to multiply the x's by -15 and 2
y=-30x+54
y=30x+15
the x's are canceled out and you add the remaining
y=54. y=68
y=15
To find x you makes an equation of one of the equations given
68=2x+54
14=2x
7=x
Solve the system by subtitution y = 3x + 18 y = 5x
Answer:
x=9
Step-by-step explanation:
y=3x+18=5x
thus 3x+18=5x
subtract 3x from both sides 18=2x
simplify for x x=9
The required solution to the given system of equations is (x, y) = (9, 45).
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The system of equations is given the question as:
y = 3x + 18
y = 5x
To solve this system of equations by substitution, we can start by substituting the equation y = 3x + 18 into the second equation, which gives us:
5x = 3x + 18
Then we can solve this equation for x:
2x = 18
x = 9
Now that we have found the value of x, we can substitute it back into either of the original equations to find the value of y:
y = 3x + 18 = 3(9) + 18 = 27 + 18 = 45
Therefore, the solution to the system of equations is (x, y) = (9, 45).
Learn more about the equation here:
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HELP!! VERY TIME TIME SENSITIVE
Point A lies on the graph of f(x) = 1/2x + 2. Locate the image of point A that lies on the graph of f^-1(x)
A.) (-2, 1)
B.) (2, -1)
C.) (-1, 2)
D. (1, -2)
Answer:
B is your correct answer
Step-by-step explanation:
The image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).
What is Inverse of function?The inverse of a function is a new function that "undoes" the original function. More formally, if a function f maps elements of a set X to elements of a set Y, and if there is a function g that maps elements of Y back to elements of X such that g(f(x)) = x for all x in X, then g is called the inverse of f.
First, we need to find the inverse of f(x) = 1/2x + 2. We can do this by switching x and y and solving for y:
x = 1/2y + 2
x - 2 = 1/2y
2x - 4 = y
So, the inverse function is f⁻¹(x) = 2x - 4.
Now, we can use the coordinates of point Ato find its image on the graph of f⁻¹(x).
Point A has coordinates (x, y) = (0, 2) since it lies on the graph of f(x) = 1/2x + 2. We want to find the image of this point on the graph of f⁻¹(x) = 2x - 4.
We can start by plugging in y = 2 into the equation for f⁻¹(x):
y = 2x - 4
2 = 2x - 4
6 = 2x
x = 3
So, the image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).
Learn more about Inverse of Function here:
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PLEASE HELP DUE TMRW!
A furniture company buys chairs at wholesale price of $48. They mark
up the price so they make a 30% profit. How much will one chair sell for?
Answer:
i dont know just trying to get pionts haha sorry rihana
Step-by-step explanation:
The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece chooses x as the larger number and uses the inequalities y<=40-x and y<=x-20
Answer:
The value of x lies between 20 and 40 and value of y lies between -20 and 10
Step-by-step explanation:
We are given that
[tex]y\leq 40-x[/tex]....(1)
[tex]y\leq x-20[/tex]...(2)
First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.
Therefore, we can write as
[tex]y=-x+40[/tex]...(3)
[tex]y=x-20[/tex]...(4)
Adding equation (3) and (4) we get
[tex]2y=20[/tex]
[tex]y=10[/tex]
Substitute y=10 in equation (3) we get
[tex]10=40-x[/tex]
[tex]x=40-10=30[/tex]
(30,10) is the intersect point of two equation.
Put x=0 in equation (3)
[tex]y=40[/tex]
Substitute y=0 in equation (3)
[tex]x=40[/tex]
Substitute x=0 in equation (4)
[tex]y=-20[/tex]
Substitute y=0 in equation (4)
[tex]x=20[/tex]
Substitute x=0 and y=40 and in equation (1)
[tex]40\leq 40[/tex]
Hence, the equation is true.Therefore, the shaded region below the line.
Substitute x=0 and y=-20 in equation (2)
[tex]-20\leq -20[/tex]
The equation is true. Hence, the shaded region is below the line.
Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.
Answer: No, Chaneece mixed up the variables. The correct solution is that x must be between 20 and 40 and y must be between 0 and 20.
Step-by-step explanation:
graph the circle (x+2)^2+(y-6)^2=9
Answer:
8
Step-by-step explanation:
Step-by-step explanation:
I did this on desmos I hope it helps
I need loads of help
Answer:
2 8c+3
Step-by-step explanation:
Answer:
8c+3
Step-by-step explanation:
for #2
Answe please BEN..........
Answer:
its the first one
Step-by-step explanation:
t - 3 > -5
+3 > +3
___________
t > -2
t is greater than -2 so the line should point to the right, and it should be an empty circle on -2 because it is not a greater than or equal to sign.
Answer:
t>-2
Step-by-step explanation:
Treat this like an equation and add -3 to both sides:
t>-2
The correct choice should be #1
CORRECT ANSWER WILL BE MARKED BRAINLIEST!!
select the correct answer from each drop down menu. a parallelogram has the points L(-2,-2), M(-4,2), O(6,2), and P(8,-2).
If the parallelogram is dilated by a scale factor of 1/2, the points of the dilated figure are
L'-----, M'-----, O'-----, and P'----- (----- means blank)
To create the new figure, we must multiply each coordinate by the scale factor, which is 1/2 in this case.
So j(-2,2) becomes j'(-1,1)
K(4,2) becomes K'(2,1)
L(4,-2) becomes L'(2,-1)
and M (-2,-2) becomes M'(-1,-1)
The scale factor is between 1 and 0 which means that this dilation is a reduction that will shrink the original figure to a smaller one.
Answer:
This is the CORRECT answer
L' ( -2,-2) = ( -1,-1)
M' ( -4,2) = ( -2,1)
O' ( 6,2) = ( 3,1)
P' ( 8, -2) = (4, -1)
IM BEING TIMED PLZ HURRY AND THANKS What is the sum of a° + c°
Answer:
300°
Step-by-step explanation:
a° is 180°
c° is 120° (from 180° = 60° + c°)
A picture 10 feet long is to be centered on a wall that is 15 feet long, How much space is there from
the edge of the wall to the picture?
Answer:
2.5
Step-by-step explanation:
15-10=5
5/2=2.5
Which is the best estimate of the difference between
6
7
8
and
2
1
8
?
A.
1
B.
3
C.
5
D.
8
Answer:
c. 5
Step-by-step explanation:
678 rounds to 700 and 218 rounds to 200. 700-200=500
pls help!!!
what would the answer be when it is in standard form.
Need help please asap
Answer:
the radius is 2.66ft
Step-by-step explanation:
my process of elimination:
first one: ❌ the radius is half of the length across (the dot) so 5.32ft divided by 2 it would be 2.66ft
sec. one: ❌ unlike the radius (which is half of the length across) the diameter is the full length across so the diameter would be 5.32ft
third one: ❌ actually almost tricked me then I remembered the circumference is for all around. this measurement only accounts for the diameter (5.32ft) and the radius (2.66ft)
fourth one: ✅simply was the truth. the radius is half of the diameter so if the diameter is 5.32ft then the radius is 2.66ft
I hope this helps I totally understand the struggles of math
How many times do 5 go into 8
Answer:
1 time :)
Step-by-step explanation:
Answer:
It can only go into 8 once
8÷5=1.6
Step-by-step explanation:
What is One-third of Four-fifths?
One-fifteenth
Three-fifteenths
Four-fifteenths
Seven-fifteenths
calculate the volume of a pentagonal prism with: side length = 16, apothem= 11cm, and height= 4cm
Answer:
:)
Step-by-step explanation:
The answer is ≈1761.76886
PLEASE help mee. Explain and show work plsss.
6. yes, if line was originally in the top right quadrant you could lower y intercept so that it no longer goes through top right
solve the equation -3x=9
Answer: x = -3
Step-by-step explanation:
-3x = 9
9 ÷ -3 = -3
:)
Answer:
x = -3
Step-by-step explanation:
-3x = 9
9 divide by -3 = -3
1. What is the simple interest on $2500 invested at an interest rate of 6%
for 2 years?
Answer:
[tex]\boxed {\boxed {\sf \$300.00}}[/tex]
Step-by-step explanation:
The formula for simple interest is:
[tex]I=P*R*T[/tex]
where P is the principal amount of money, R is the interest rate as a decimal, T is the time.
We know the principal amount is $2500, the interest rate is 6%, and the time is 2 years.
We must convert the interest rate to a decimal.
Divide by 100 or move the decimal place two spots to the left. 6/100=0.06 or 6.0 --> 0.6 --> 0.06Now we know all the values.
[tex]P= 2500 \\R= 0.06 \\T= 2[/tex]
Substitute the values into the simple interest formula.
[tex]I= (2500)(0.06)(2)[/tex]
Multiply.
[tex]I=(2500)(0.12)\\I=300= \$ 300[/tex]
The simple interest is $300.00
[tex] \sf• \: Principle (p) = \$ \: 5200[/tex]
[tex] \sf• \: Rate \: of \: interest (r) = 6 \: \% = \frac{6}{100} [/tex]
[tex] \sf• \: Time \: (t) = 2 \: years[/tex]
[tex] \\[/tex]
[tex] \bf \underline{To \: Find :-}[/tex][tex] \sf• \: The \: Simple \: Interest \: (I)[/tex]
[tex] \\ [/tex]
[tex] \bf \underline{Solution :-}[/tex][tex] \sf We \: know \: that, [/tex]
[tex] \red {\bigstar\bf { \: I = prt}}[/tex]
[tex]⟹I = 2500 \times \frac{6}{100} \times 2[/tex]
[tex]⟹I = 300[/tex]
[tex] \\ [/tex]
[tex] \bf \blue{Hence, \: the \: \: Simple \: \: Interest \: \: is \: \: \$ \: 300. }[/tex]
X^2+3x+4=(x+a)^2+b what is A and B equal please help me
Answer:
a = 1.5, b = 1.75
Step-by-step explanation:
Expand the right side using FOIL, then compare the coefficients of like terms with the expression on the left side.
(x + a)² + b
= x² + 2ax + a² + b , then compare to
x² + 3x + 4
Comparing the coefficients of the x- terms
2a = 3 ( divide both sides by 2 )
a = 1.5
Comparing the constant terms
a² + b = 4
1.5² + b = 4
2.25 + b = 4 ( subtract 2.25 from both sides )
b = 1.75