3.2 mile per hour
8/ 3.2
3. A store is having a sale to celebrate President's Day. Every item in the store is advertised as one-fifth (1/5)off
the original price. If an item is marked with the original price of $175, what is the sale price? Show your
work.
Step-by-step explanation:
1/5 of 175
=1/5×$175
=$35
sale price = original price - discount price
= $175 -$35
= $140
Find m
∠
U
W
V
∠UWV.
find the equation of a circle concentric with the circle x^2+y^2-2x-10y+1=0 passing through the point (2,-3)
Answer:
Step-by-step explanation:
x²+y²-2x-10y+1=0
compare with x²+y²+2gx+2fy+c=0
center is (-g,-f)
radius=√(g²+f²-c)
2g=-2
g=-1
2f=-10
f=-5
radius=(1,5)
c=1
let eq. of circle be x²+y²-2x-10y+c=0
∵ it passes through (2,-3)
2²+(-3)²-2(2)-10(-3)+c=0
4+9-4+30+c=0
c=-39
eq. of circle is is x²+y²-2x-10y-39=0
I need help with math
51+60= 111 Answers fast rights
Four tour buses depart the terminal on the same day. The itinerary of the first bus takes 6 days, for the second bus it takes 8 days, for the third bus it takes 10 days, and the fourth bus takes 15 days. Assuming that another tour begins the same day that the bus returns to the terminal, how many days will it take until all four buses return to the terminal on the same day?
Using the least common factor, it is found that it will take 120 days until all four buses return to the terminal on the same day.
Considering their itineraries, the number of days it will take until all four buses return to the terminal on the same day is the lcm of 6, 8, 10 and 15.To find their least common factor, we factor each number by prime numbers, hence:
6 - 8 - 10 - 15|2
3 - 4 - 5 - 15|2
3 - 2 - 5 - 15|2
3 - 1 - 5 - 15|3
1 - 1 - 5 - 5|5
1 - 1 - 1 - 1
Hence, lcm(6, 8, 10, 15) = 2³ x 3 x 5 = 8 x 15 = 120.
It will take 120 days until all four buses return to the terminal on the same day.
To learn more about the least common factor, you can take a look at https://brainly.com/question/24873870
What is the length of CB in ABC
There needs to be values to answer the question.
Find the exponential function f(x)=ab^x that satisfies the conditions f(0)=-4 and f(-2)=-64.
f(x)=
[tex]f(x) = ab^x~\hfill \begin{array}{llll}\textit{we know that}~f(0)=-4\begin{cases}x=0\\f(x)=-4\end{cases}\\\\-4=ab^0\implies -4=a(1)\implies -4=a\end{array}\\\\\\\stackrel{therefore}{f(x)=-4b^x}~\hfill \textit{we also know that}~f(-2)=-64\begin{cases}x=-2\\f(x)=-64\end{cases}[/tex]
[tex]-64=-4b^{-2}\implies \cfrac{-64}{-4}=b^{-2}\implies 16=b^{-2}\implies 16=\cfrac{1}{b^2} \\\\\\ b^2=\cfrac{1}{16}\implies b=\sqrt{\cfrac{1}{16}}\implies b = \cfrac{\sqrt{1}}{\sqrt{16}}\implies b = \cfrac{1}{4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill f(x)=-4\left( \frac{1}{4} \right)^x~\hfill[/tex]
Interest: Tutorial
Question
Calculate the interest earned on each simple-interest account given the original principal, annual interest rate, and the length
of time the account was held. Match each amount to the corresponding account description.
Drag each tile to the correct box. Not all tiles will be used.
Tiles
$41.85
$55.80
$36.24
$45.45
$48.00
$46.35
Pairs
$500 at 3.2% for 3 years
$450 at 3.1% for 4 years
$515 at 3% for 3 years
Answer:
$48.00$55.80$46.35Step-by-step explanation:
In each case, the answer is the product of the three given numbers.
i = Prt
a) $500×0.032×3 = $48.00
b) $450×0.031×4 = $55.80
c) $515×0.03×3 = $46.35
Which equation has the same solution as w / 3.9 = 3? A. w+0.6=1.9 B. w-0.6 = 11.1 C. w+1.03=2.93 D. w-1.03=8.24
The equation has the same solution as w / 3.9 = 3 is w+0.6=1.9
Given:
w / 3.9 = 3
cross multiply
w × 3 = 3.9
3w = 3.9
divide both sides by 3
w = 3.9 / 3
w = 1.3
Check all that applies
A. w+0.6=1.9
w = 1.9 - 0.6
w = 1.3
B. w-0.6 = 11.1
w = 11.1 + 0.6
w = 11.7
C. w+1.03=2.93
w = 2.93 - 1.03
w = 1.9
D. w-1.03=8.24
w = 8.24 + 1.03
w = 9.27
Therefore, the equation has the same solution as w / 3.9 = 3 is w+0.6=1.9
Learn more about equation:
https://brainly.com/question/2972832
A graph, a table and equation are shown below. Please help!
Answer:
A) slope is 1
B) Slope is 3
C) slope is 0.5
Step-by-step explanation:
Using Rise over run method and mx+b
What is the greatest common factor shared by 40 and 20?
Answer here
SUBMIT
Answer:
20
Step-by-step explanation:
factors of 20 = 1 2 4 5 10 20
factors of 40 = 1 2 4 5 8 20 10
therefore 20 is the greatest common
On a number line, where would
7/10 be located? Choose all answers that make
a true statement.
7/10 is to the left of 8/10 and 7/10 is to the right of 3/10. The correct options are
B. To the left of 8/10
C. To the right of 3/10
Number lineFrom the question, we are to determine where 7/10 would be located
7/10 is the same as 0.7
0.7 < 8/10 (0.8)
and
0.7 > 3/10 (0.3)
Hence, 7/10 is to the left of 8/10 and 7/10 is to the right of 3/10. The correct options are
B. To the left of 8/10
C. To the right of 3/10
Learn more on Number line here: https://brainly.com/question/11135636
#SPJ1
MAX POINTS!!! Where did I go wrong? Please explain where I went wrong and redo it.
Answer:
Ms. I am sure that you are already correct
Gravity is a force that acts upon a ball after it is thrown?
A. True
B. False
True or false, depending on the specifics. True, because the gravity makes it go to the ground. False, because gravity is always working, so you don't need to throw the ball. However since it doesn't say that it only happens when you throw it. The answer should be true.
Need an answer here please
Answer:
Option 4: A ║B
Step-by-step explanation:
Given the following statements:
[tex]\displaystyle\mathsf{\overline{X}}[/tex] is ⊥ [tex]\displaystyle\mathsf{\overline{A}}[/tex]
[tex]\displaystyle\mathsf{\overline{X}}[/tex] is ⊥ [tex]\displaystyle\mathsf{\overline{B}}[/tex]
We can apply the Lines Perpendicular to a Transversal Theorem, which states that if two lines intersect and are perpendicular to that same transversal, then those two lines are parallel.
In the given conditional statement, [tex]\displaystyle\mathsf{\overline{X}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{X}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{B}}[/tex], line [tex]\displaystyle\mathsf{\overline{X}}[/tex] is the transversal that cuts through both lines [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{B}}[/tex].
Therefore, lines [tex]\displaystyle\mathsf{\overline{A}}[/tex] and [tex]\displaystyle\mathsf{\overline{B}}[/tex] are perpendicular to line [tex]\displaystyle\mathsf{\overline{X}}[/tex]. Hence, by the Lines Perpendicular to a Transversal Theorem, [tex]\displaystyle\mathsf{\overline{A}}[/tex] ║ [tex]\displaystyle\mathsf{\overline{B}}[/tex].
-5x + 7y = -3
-3x - y = 19
Answer:
x=-5, y=-4
Step-by-step explanation:
to solve this system of equations, first multiply the second equation by 7 to get -21x-7y=133. this allows for the y terms in both equations to cancel once you add the two equations together.
adding these together, the y term cancels and you are left with -26x=130. so dividing both sides by -26 will get x=-5. then plug this x value back into either original equation (i chose -3x-y=19) so solve for y.
-3(-5)-y=19 so -y=4 so y=4
so the answer to the system of equations is x=-5 and y=-4
Please help me with this question. I will mark you brainliest.
Answer:
Option D : $153
This is how I got that:
9:30 AM to 1:15 PM = 3 hours and 45 minutes
The first hour charges $15 and for the remaining 2 hours and 45 minutes
Mr. Anand is charged 36$. Remember it says that each additional hour or part thereof, so the 2 hours and 45 minutes is considered 3 hours.
So our total for one paddle boat is $51
But Mr. Anand hired three boats so we simply times 51 by 3 and get our solution to the problem:
Mr. Anand must pay $153 or Option D
~That's All Folks~
-Siascon
10. Find three consecutive even integers such that the product of the first and the second is 92 more
than twice the third integer.
Answer:
10, 12, 14 or -10, -8, -6
Step-by-step explanation:
We can let x represent the middle integer. Then the smaller one is x-2 and the larger one is x+2. The given relation is ...
(x-2)(x) = 92 +2(x+2)
x^2 -2x = 92 +2x +4 . . . eliminate parentheses
x^2 -4x = 96 . . . . . . . . . subtract 2x
x^2 -4x +4 = 100 . . . . . . add 4 to complete the square
(x -2) = ±√100 = ±10 . . . take the square root
x = 2 ± 10 = -8 or +12 . . . . add 2
The three integers might be ...
-10, -8, -6 or 10, 12, 14
Find the slope of the line y=−5x−4
Answer:
-5
Step-by-step explanation:
I hope this helps!
Answer:
-5
Step-by-step explanation:
The slope of the line in this format is the coefficient of x, or the number in front of x.
What is the slope of the line?
Answer:
-3/4
Step-by-step explanation:
5) Using the formula A=652
find the surface area of a
cube with sides measuring 8
inches.
Answer:
81.5
Step-by-step explanation:Cube has all sides of equal dimensions and like that it has 6 faces.
So total surface area of cube is equal to the combined area of all the six faces.
Now each face has equal dimensions so same area
Therefore,
area of a single face =side²
Therefore, area of entire cube = 6 times the area of a single face
= 6 * side²
.
The following system of equations will be used to answer all remaining questions.
(8 - 12)
x + 2y = 11
2x + 3y = 18
=
Write the system as a matrix equation then identify the coefficient matrix.
The given equation above written in the form AX = b will be;
[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]
Given the system of equation;
x + 2y = 11 2x + 3y = 18This equation can be represented in matrix form as [tex]AX = b[/tex]
where:
A is the coefficient of the matrixX is the variablesb is a column matrixThe given equation above written in the form AX = b will be;
[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]
Learn more on equation matrix here: https://brainly.com/question/11989522
please help asap!!!!!!!!
Answer:
$3192.5.
Step-by-step explanation:
First $3000 tax is 3000 * 0.02 = $60.
Second $2000 tax is 2000 * 0.03 = $60.
Third $12000 tax is 12000 * 0.05 = $600.
Last $43,000 tax is 43000 * 0.0575 =$2472.5
Total income tax = $3192.5.
4.
The expression V-18 can be rewritten as ✓-1. 9. 2. What is a simplified version of the
expression?
А 3iv2
8 312
C -3iv2
D-3V2
What is the relationship between vertices and edges in a pyramid? In a prism?
Answer: depends on the shape of it but mostly equal
Step-by-step explanation: hope it helps
Solve the equation algebraically show work to support the answer
2/3x + 4 = 2
Answer:
2/3x + 4 = 2
or,3x+2+4=2
or,3x+6=2
or,3x=2-6
or,3x=-4
or,x=-4/3
x=-1.33
Solve two eighths times four fifths
Answer:
8/40 or 1/5
Step-by-step explanation:
2x4=8
8x5=40
That gives us the answer of 8/40 but if you need simplifying just divide 8/40 by 8/8 and you will get the final answer of 1/5
Anita earns 40 points every time she shops at Brookshire's. She needs a total of 1,500 points to receive a free set of dishes. So far she has earned 300 points. How many more times will Anita need to shop at the grocery store to earn the points she needs to earn the dishes?
a. 1800
b. 30
c. 1200
d. 45
We know that:
1500 - 300 = required points to receive a free set of dishes1 day = 40 points.Now, let's simplify.
=> 1500 - 300 = required points to receive a free set of dishes=> 1200 = required points to receive a free set of dishes=> 1 time = 40 points=> 1 time × 30 = 40 × 30 [30 x 40 = 1200]=> 30 times = 1200 pointsConclusion:Therefore, Anita will need to visit Brookshire 30 more times to receive a free set of dishes.
Hoped this helped
[tex]BrainiacUser1357[/tex]
Express the following exponential functions in logarithmic form.
1. 10^8 = 100, 000, 000
2. 10^-4 = 0.0001
Answer:
see explanation
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
(1)
[tex]10^{8}[/tex] = 100,000,000 ( with b = 10 and n = 8 )
[tex]log_{10}[/tex] (100,000,000) = 8
(2)
[tex]10^{-4}[/tex] = 0.0001 ( with b = 10 and n = - 4 )
[tex]log_{10}[/tex] (0.0001) = - 4
X=
Y=
Find the values of X and Y
We can clearly see that the triangle is an isosceles triangle. This also means that y must equal to 180 - 115. Let's solve.
=> x + y + 180 - 115 = 180=> x + y + 65 = 180Since 180 - 115 equals 65, this means that y = 65.
=> x + 65 + 65 = 180=> x + 130 = 180=> x = 180 - 130=> x = 50Conclusion:Therefore, our answers are:
x = 50°y = 65°Hoped this helped.
[tex]-BrainiacUser1357-[/tex]