Answer: $2,000
Step-by-step explanation:
Gas is $3.25 per gallon. If Monica needs 12 gallons, cost would be:
= 12 * 3.25
= $39
If she wants to fill up for less than $35, she will have to earn the difference in points:
= 39 - 35
= $4
One can get $0.10 off for every $50 spent. The number of 10 cents in $4 is:
= 4 / 0.1
= 40
Monica would therefore have to spend:
= 50 * 40
= $2,000
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
answer these 2 questions if ur smart?!?!?
1. (4x+5y)(2x-3y)+3xy= 4x*2x-4x*3y+5y*2x-5y*3y+3xy=8x^2-12xy+10xy-15y^2+3xy= 8x^2+xy-15y^2
2. (2x^2+3)(4x+5)-8x(x^2-2)=2x^2*4x+2x^2*5+3*4x+3*5-8x*x^2+8x*2=
=8x^3+10x^2+12x+15-8x^3+16x=
=10x^2+28x+15
Answer:
1. [tex]8x^2+xy-15y^2[/tex] 2. [tex]10x^2 + 28x + 15[/tex]
Step-by-step explanation:
For Question 1:
[tex](4x + 5y) (2x - 3y) + 3xy[/tex]
= [tex]8x^2 - 12xy + 10xy - 15y^2 + 3xy[/tex]
[tex]=8x^2+xy-15y^2[/tex] (cannot simplify any further)
For Question 2:
[tex](2x^2 + 3)(4x +5) - 8x(x^2 -2)[/tex]
[tex]=8x^3 + 10x^2 + 12x + 15 - 8x^3 + 16x[/tex]
[tex]=10x^2 + 28x + 15[/tex] (cannot simplify any further)
Simplify: -x - 4x + 2
Answer:
5x+2
Step-by-step explanation:
:)
Answer:
16x little 2 on top - 40xy + 25y little 2 on top
Step-by-step explanation:
. _ .
................
Hey there!
I believe the answer to your question is 24.
If it's being reduced by 1/3, you are being left with 2/3, so we can take 2/3 of 9 and you get 6. Perimeter is adding up all the side lengths. Thus, we do 6 + 6 + 6 + 6, and that is 24.
Sorry for any confusion before, I didn't understand the problem before. Hope it helps! Have a great day, and sorry if it's late.
What is One-third of Four-fifths?
One-fifteenth
Three-fifteenths
Four-fifteenths
Seven-fifteenths
Given the equation log2x + log2(x – 7) = 3, solve for x.
Answer:
x∈{-1, 8}Step-by-step explanation:
[tex]\log_2x +\log_2(x-7) = 3\\\\\log_2[x\cdot(x-7)]= 3\log_22\\\\\log_2(x^2-7x)= \log_22^3\\\\x^2-7x=2^3\\\\x^2-7x-8=0\quad\implies \quad a=1\,,\ \ b=-7\,,\ \ c=-8 \\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot(-8)}}{2\cdot1}= \dfrac{7\pm\sqrt{49+32}}{2} =\dfrac{7\pm\sqrt{81}}{2}\\\\x=\dfrac{7+9}2=8\qquad\vee\qquad x=\dfrac{7-9}2=-1[/tex]
Please help!!!
composition of functions
g(x)=2x-5 h(x)=x^2-2
find g(h(-8))
Answer:
g(h(-8)) = 119
Step-by-step explanation:
Given
g(x)=2x-5h(x)=x²-2To determine
g(h(-8)) = ?In order to determine g(h(-8)), we need to determine h(-8) first
substituting x = -8 in h(x)=x²-2
h(-8) = (-8)² - 2
h(-8) = 64 - 2
h(-8) = 62
so
g(h(-8)) = g(62)
now substituting x = 62 in g(x)=2x-5
g(62)=2(62)-5
g(62) = 124 - 5
g(62) = 119
so
g(h(-8)) = g(62) = 119
Therefore,
g(h(-8)) = 119Help asap ...................
Answer:
One: Median = 2
Two: Mean = 3.25
Step-by-step explanation:
One
Put the dots in order
1 1 1 2 2 3 3
There are seven groups altogether.
The middle one is a 2.
The median is 2.
Two
The mean is the average.
The average of the 4 groups is
1 3 6 3 = 13
The average is the sum of the dots.
13/4 = 3.25
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]
Which is the better value?
A. 6 ounces of hot Cheetos for $2.16
B. 10 ounces of hot Cheetos for $2.70
Answer:
B
Step-by-step explanation:
2.16/6 = 0.36 cents per 1 ounce
2.70/10 = 0.27 center per 1 ounce
Therefore B. 10 ounces of hot Cheetos for $2.70
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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tamara has completed 60% of her practice time for the track meet. If she is expected to practice for 18h, how long has she already practiced?
Answer:
10h and 48min
Step-by-step explanation:
60*18=1080
1080/100=10.8
so 10.8h which means 10 hours and 48 min
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.
the graph of y=f(x) is shown below. what are all of the real solutions of f(x)=0
All real solutions of the function y=f(x) are x = -4 and x = 4
What is a solution ?Suppose that we've a function y = f(x) such that f(x) is quadratic.
When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0. These solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.
we are Given graph in the attachment represents the function y = f(x)
Since Real solutions of the function shows all the points where the curve of the graph either touches or crosses the x-axis.
Thus the graph of the function touches and crosses at x = -4 and x = 4
Therefore, all real solutions of the function y=f(x) are x = -4 and x = 4
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Jake said he can find 630 ÷ 10 by taking the 0 off of 630 to get 63. Jake finds 35.270 ÷ 10 using the same method and gets 35.27. Use the drop-down menus to complete the statement about why Jake is correct or incorrect.
Answer:
Jake is incorrect with his methodology for solving these problems
Step-by-step explanation:
Jake is incorrect with his methodology for solving these problems. This is because dividing a number by 10 requires moving the decimal point one digit to the left. When dividing 630 by 10, removing the zero works because by moving the decimal one digit to the left we would simply drop the zero and the decimal would not be needed leaving the answer as 63. However, this does not work on numbers that already have a decimal such as 35.270. This number divided by 10 would be 3.527 but simply removing the 0 like Jake states would give us the incorrect answer of 35.27
Answer:
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
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)
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
The aquarium where Evan works has a special tank for the baby sharks. The tank is shaped like a rectangular prism and is 18 meters long by 15 meters wide. It is 8 meters from the bottom of the tank to the top. What is the volume of the shark tank?
Answer:
The volume of the shark tank is [tex]2160 m^3[/tex]
Step-by-step explanation:
The tank is in the shape of a rectangular prism.
The length of the tank, [tex]l=18[/tex] m.
The width of the tank, [tex]w=15[/tex] m.
The height of the tank, [tex]h=8[/tex] m.
We know that, volume of a rectangular prism [tex]=l\times w \times h[/tex].
So, the volume of the tank [tex]=18\times 15\times 8=2160 m^3[/tex]
Hence, the volume of the shark tank is [tex]2160 m^3[/tex].
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
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
factor x^3 +7x^2−5x−35
Answer:
(x^2-5)(x + 7)
Step-by-step explanation:
Here, we want to factorize the given expression
That would be;
x^2(x + 7) - 5(x + 7)
= (x^2-5)(x+ 7)
Answer:
(x+7) (x^2 - 5)
Step-by-step explanation:
x
3
+7x
2
−5x−35
=x
2
(x)+x
2
(7)−5(x)−5(7)
=x
2
(x+7)−5(x+7)
Now we are left with a common factor of (x+7)(x+7)left parenthesis, x, plus, 7, right parenthesis, so we can factor it out:
\begin{aligned} &\phantom{=}x^2\purpleC{(x+7)}-5\purpleC{(x+7)} \\\\ &=\purpleC{(x+7)}(x^2-5) \end{aligned}
=x
2
(x+7)−5(x+7)
=(x+7)(x
2
−5)
help pleseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee i think i spelled that wrong
but stillplese help
Please help, 20 points.
Answer:
B
Step-by-step explanation:
3×+ 4y =24
3x -y = 3 It is just like algebra I might be wring but I tryed
Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.
Answer:
The answer is below
Step-by-step explanation:
Calvin school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles west of his school to the sport complex.
a) What is the length of a straight line between calvins house and the sports complex? Round to the nearest tenth.
b) Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.
Solution:
a) Calvin school, his house and the sport complex form a right angled triangle. The hypotenuse of the right angled triangle is the length of the line between Calvin's house and the sport complex. Let the length of the line between Calvin's house and the sport complex be x.
Using Pythagoras law for right angled triangle, we get that:
x² = 2.3² + 1.8²
x² = 8.53
x = √8.53
x = 2.9 miles to the nearest tenth
b) This forms a right angled triangle with the hypotenuse = length of a straight line between Calvin's house and the music school. one side of the triangle = 1.8 miles and the other side = 3.7 - 2.3 = 1.4 miles.
Let x = length of a straight line between Calvin's house and the music school. Hence:
x² = 1.8² + 1.4²
x² = 5.2
x = √5.2
x = 2.3 miles to the nearest tenth
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:
please answer 4b + 10 = 70
Answer:
b=15
Step-by-step explanation:
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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algebraic form of the square of the sum of r and t.
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