Answer:
x= 1, y=3
Step-by-step explanation:
y= 2x +1
y= -x +4
Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.
so y= 2x+1 but y is -x+4 so substitute
-x+4 = 2x +1, add x on both sides
4= 2x+x +1, subtract 1 from both sides
4-1 = 2x +x, combine like terms
3 = 3x , divide both sides by 3
x=1
if x=1 we substitute in y= -1 +4 = 3
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:
pls help!!!
what would the answer be when it is in standard form.
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:
pls help I literally don’t get this
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].
algebraic form of the square of the sum of r and t.
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
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:
please answer 4b + 10 = 70
Answer:
b=15
Step-by-step explanation:
which the of triangles is similar to PQR
Answer:
D
Step-by-step explanation
18/15=1.2
21/1.2=17.5
They Match!
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]
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).
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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
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
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
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:
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
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
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
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
help me out? please !
Answer:
trapezoid
Step-by-step explanation:
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)
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).
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BRAINLIEST! URGENT! I need help with this, the parabola is confusing me.
In the hospital, 80 people were admitted Friday, 25% of these admissions were women in labor to have babies. How many women were in labor? O A 25 OB. 20 O C. 35 O D. 30
Answer:
Step-by-step explanation:
25% it means 1/4 of the total
1/4 of 80 is 20 (80/4=20)
answer B
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:
What is One-third of Four-fifths?
One-fifteenth
Three-fifteenths
Four-fifteenths
Seven-fifteenths
I need loads of help
Answer:
2 8c+3
Step-by-step explanation:
Answer:
8c+3
Step-by-step explanation:
for #2
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°)
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