Answer:
$337.50
Step-by-step explanation:
The computation of the number of miles need to drive for determining the same cost is given below:
Let us assume the miles be x
So for the first plan, the equation is
= $0.90x
And for the second plan, the equation is
= $75 + $0.70x
Now equate this
0.90x = $75 + 0.70x
0.90x - 0.70x = $75
0.20x = $75
x = $75 ÷ 0.20
= 375 miles
Now the same cost would be
For plan A and plan B
0.90x = $75 + 0.70x
0.90(375) = $75 + 0.70(375)
$337.5 = $75 + $262.50
$337.50 = $337.50
4x + 33 = 10x + 3
show your work
Answer:
on 4x + 33 = 10x + 3, we could use inverse operation and move 10x to left side, which will create -6x+33=3. we could also use the same thing to 33 and get -6x=-30. if we divide -30 by -6, we would get 5
Step-by-step explanation:
4+33=10+3
4+33−33=10+3−33
4=10−3
=5
does anyone get this i think my answer is wrong
Answer:
They are congruent.. one is just flipped.
Step-by-step explanation:
Damian is buying tickets to a movie. The movie he and his friends want to see costs 4.85 per ticket. Damian has 32.00 total.
Answer:
He can get only six tickets.
32 divided by 4.85 is 6.5979
which is only enough for 6 tickets
Step-by-step explanation:
Urgent please help..
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Y=x-15 y=-4x slove the sytem by subsitution.If there is one solution,express it as an order pair. no solution,infintie number of solution, if there is a solution explain it in () form
Answer:
(3,-12)
x = 3, y = -12
Step-by-step explanation:
(1) y=x-15
(2) y=-4x
solve equation (1) for x:
add 15 to both sides
x=y+15
plug in x=y+15 into equation (2):
y=-4(y+15)
y=-4y - 60
5y = -60
y = -12
plug in y=-12 into equation (2):
-12 = -4x
3 = x
100
1
5
1-10
15
이
5
51
Answer:
whats the question?
Step-by-step explanation:
Triangle RST is translated 2 units left and then reflected over the y-axis.
Answer:
move every dot to the left by two units and flip the whole thing over the y axis
Step-by-step explanation:
Prove that if x is an positive real number such that x + x^-1 is an integer, then x^3 + x^-3 is an integer as well.
Answer:
By closure property of multiplication and addition of integers,
If [tex]x + \dfrac{1}{x}[/tex] is an integer
∴ [tex]\left ( x + \dfrac{1}{x} \right) ^3 = x^3 + \dfrac{1}{x^3} +3\cdot \left (x + \dfrac{1}{x} \right )[/tex] is an integer
From which we have;
[tex]x^3 + \dfrac{1}{x^3}[/tex] is an integer
Step-by-step explanation:
The given expression for the positive integer is x + x⁻¹
The given expression can be written as follows;
[tex]x + \dfrac{1}{x}[/tex]
By finding the given expression raised to the power 3, sing Wolfram Alpha online, we we have;
[tex]\left ( x + \dfrac{1}{x} \right) ^3 = x^3 + \dfrac{1}{x^3} +3\cdot x + \dfrac{3}{x}[/tex]
By simplification of the cube of the given integer expressions, we have;
[tex]\left ( x + \dfrac{1}{x} \right) ^3 = x^3 + \dfrac{1}{x^3} +3\cdot \left (x + \dfrac{1}{x} \right )[/tex]
Therefore, we have;
[tex]\left ( x + \dfrac{1}{x} \right) ^3 - 3\cdot \left (x + \dfrac{1}{x} \right )= x^3 + \dfrac{1}{x^3}[/tex]
By rearranging, we get;
[tex]x^3 + \dfrac{1}{x^3} = \left ( x + \dfrac{1}{x} \right) ^3 - 3\cdot \left (x + \dfrac{1}{x} \right )[/tex]
Given that [tex]x + \dfrac{1}{x}[/tex] is an integer, from the closure property, the product of two integers is always an integer, we have;
[tex]\left ( x + \dfrac{1}{x} \right) ^3[/tex] is an integer and [tex]3\cdot \left (x + \dfrac{1}{x} \right )[/tex] is also an integer
Similarly the sum of two integers is always an integer, we have;
[tex]\left ( x + \dfrac{1}{x} \right) ^3 + \left(- 3\cdot \left (x + \dfrac{1}{x} \right ) \right )[/tex] is an integer
[tex]\therefore x^3 + \dfrac{1}{x^3} = \left ( x + \dfrac{1}{x} \right) ^3 - 3\cdot \left (x + \dfrac{1}{x} \right )= \left ( x + \dfrac{1}{x} \right) ^3 + \left(- 3\cdot \left (x + \dfrac{1}{x} \right ) \right )[/tex] is an integer
From which we have;
[tex]x^3 + \dfrac{1}{x^3}[/tex] is an integer.
MATH!
-4=2x+16
x=____?
Answer: x=-10
Step-by-step explanation: hope this help
The Chess Club has 8 members. A new captain will be chosen by randomly selecting the name of one of the members. Leah and Luke both want to be captain. Leah says the chance that she will be chosen as captain is LaTeX: \frac{1}{2}1 2 because she is either chosen for captain or she is not. Luke says the chance that he is chosen is LaTeX: \frac{1}{8}1 8 . Do you agree with Leah or Luke?
Answer:
Agree with Luke!
Step-by-step explanation:
The Chess Club has 8 members
Total number of outcomes = 8
A new captain will be chosen by randomly selecting the name of one of the members
Number of favorable outcome (captain) = 1
Probability = Number of Favorable outcome / Total number of outcomes
Probability = 1 / 8
Agree with Luke!
I don't agree with Leah.
I agree with Luke because.... The Chess Club has 8 members
Total number of outcomes = 8
A new captain will be chosen by randomly selecting the name of one of the members
Number of captains that will be chosen = 1
Probability = Number of Favorable outcome / Total number of outcomes
Probability = 1 / 8
HELP QUICK PLEASEEEE!!!!!!!!!!!!!!!! What is the intersection point for y=-3/2x-7 and y=5/6x+7!!!!
Answer:
(-6,2)
Step-by-step explanation:
1) Mike's sister, Kellie, is 4 years older than he is. Let m be Mike's age and let k be Kellie's age. ) Complete the table to show Mike's age and Kellie's age in different years. compete the table to show Mike's age and Kellie's age in different years.
The table be like
Mike age kellie age
10 14
15 19
20 24
25 29
Calculation of the ages:Since Mike's sister, Kellie, is 4 years older than he is
And, Let m be Mike's age and let k be Kellie's age.
So here the equation be like
k = m + 4
Based on this we can compute the ages and fill the table
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Need help please hurry
9514 1404 393
Answer:
x = 20°
Step-by-step explanation:
For questions like this, it is helpful to remember that an exterior angle is equal to the sum of the remote interior angles.
110° = 2x + 70°
40° = 2x
20° = x
_____
Similarly, ...
y = x + 70° = 20° +70°
y = 90°
please help me it’s due today!
Answer:
Check explanation
Step-by-step explanation:
[tex]\frac{3(x+2)}{3(x+3)(x+3)}*\frac{(x+3)(x-4)}{(x+2)(x-2)}[/tex]
ok well im confused i got all of them right but this one is getting me stuck and or confused and yes im on number 3 but i need help please thank you
Answer:
X+2 Y-9
May nilbin be with you
A church has 10 bells in its bell tower. Before each church service 7 bells are rung in sequence. No bell is rung more than once. How many possible sequences are there?
Answer:
3 Because there are only three bells that aren't being run there for three additional ways that the bells could be rung
Find the missing length of the right triangle.
C = ?
B = 8
A = 6
Answer:
10
Step-by-step explanation:
64 + 36 = c^2
Answer:
just use the pythagorean theorem.
c^2=a^2+b^2
substitute them.
c^2=64+36
c=root100
that is equal to 10
therefore missing side of triangle is 10
Which equation represents circle A?
(x – 4)2 + (y + 5)2 = 12
(x + 4)2 + (y – 5)2 = 12
(x – 4)2 + (y + 5)2 = 36
(x + 4)2 + (y – 5)2 = 36
Answer:
c on edge
Step-by-step explanation:
just took the quiz
The equation representing the circle A is (x – 4)² + (y + 5)² = 36.
What is circle?A circle is a spherical shape without boundaries or edges. A circle is a closed, curved object with two dimensions in geometry.
The general equation of circle is given by equation
( x - h )² + ( y - k )² = r²
Where, ( h, k ) is the centre and 'r' is the radius.
As, the circle has a shift of 4 units on the +x axis.
The circle has a shift of the 5 units on the -y axis.
As, the circle has a radius of 6 units from the graph.
So, (h,k) = (4, -5).
Substitute the values of (h,k) in the general equation of the circle.
( x - 4 )² + ( y - (-5) )² = 6²
( x - 4 )² + ( y + 5 )² = 36
Therefore, the equation of circle becomes ( x - 4 )² + ( y + 5 )² = 36.
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Use the discriminant to determine the number of solutions and types of solutions for the quadratic equation, below. Show your work when calculating the discriminant for full credit. Then answer all four questions in the box. (6 points)
a^2-5a=6
Answer:
6
Step-by-step explanation:
3/5a-1/2a=9/2
please help solve
for a and show work !!
Answer:
a = 45
Step-by-step explanation:
Start by changing the fractions so they share a common denominator to combine like-terms:
6/10a - 5/10a = 9/2
1/10a = 9/2
Multiply both sides by 10 to isolate a.
a = 90/2
a = 45
consist a right angled triangle PQR right angled at P such that PQ is 6 cm and PR is 8 cm measure PR
Answer:
10
Step-by-step explanation:
by Pythagoras theorem,
PR^2=PQ^2+PR^2
Therefore,PR=√(PQ^2+PR^2)
=√(6^2+8^2)
=√100
=10
Please help due soon.
Step-by-step explanation:
plzz mark me as brainlest sorry if I dont know the answer I'm just 10 tho
Answer: 1: (2/v) 2: (3/m^4) 3: (4/x^4) 4: (1/k^3)
Step-by-step explanation:
When there is a negative exponent, the variable moves from the numerator (top) to the denominator (bottom), which gets rid of the negative sign in front of the exponent. MOVE ONLY THE VARIABLE AND CORRECT EXPONENT!!
Kacey has 287 card. She buys 7 more packages of cards that each have 8 cards in them how many does Kacey have now
Answer:
343 cards
Step-by-step explanation:
Each pack has 8 cards so you do 7x8 which gives you 56. Then you add 287 and 56 to get 343 cards.
Solve for x and select your answer from the multiple choices.
Answer:
x=3
Step-by-step explanation:
3x+5=14
-5 -5
3x=9
/3 /3
x=3
Answer:
x=3
Step-by-step explanation:
...........................
An equlateral triangle has sides of length 2x-3 each. The perimeter of the triangle is 63 cm. Find the value of x
Answer:
x= 5
Step-by-step explanation:
Suppose a line parallel to side BC of ABC intersects sides AB and AC at points X and Y, respectively. Find the length of AC if AX=3, XB=4, and AY=1.5.
AC=2
AC=4
AC=2.5
AC=3.5
Answer: AC=3.5
Solve proportionally:3 over 4 equals 1.5 over x.
3x= 6
6/3=2
X=2
2+1.5=3.5
Suppose a line parallel to side BC of ABC intersects sides AB and AC at points X and Y, respectively. Than the length of AC will be 3.5.So,The answer is AC=3.5 Given: AX = 3 ,XB = 4, AY = 1.5
To find: AC
Since line XY is parallel to BC, then AX/XB = AY/YC
Substitute the given values: 3/4 = 1.5/YC
Solve for YC: YC = 6/5
AC = YC + AY = 6/5 + 1.5 = 3.5
Therefore, the length of AC is 3.5.
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The number of students in a chess club increased from 12 to 18. What is the percent increase? Round to the nearest percent.
Step-by-step explanation:
(18-12)/12=6/12=0.5
0.5*100=50% increase
i think so
Answer:50% increase
Step-by-step explanation:
12 x .50 = 6
12 + 6 = 18
6. A camping tent is shown to the right. How much material would be needed to make the tent shown? (Use the formula S = Ph + 2B to solve). A. 144 centimeters squared B. 168 centimeters squared C. 181 centimeters squared D. 204 centimeters squared
Answer:
Option B
Step-by-step explanation:
The area of the two triangles in the tent is 2(B) = 2(1/2*6*4) = 2*12 = 24 cm^2
There are 3 rectangles left in the figure, two of which have the dimensions 5 by 9: 5*9 = 45, 45(2) = 90 cm^2
The other rectangle has the dimensions 6 by 9: 6*9 = 54 cm^2
S = 24+90+54 = 168 cm^2
Answer:
S = Ph + 2B
p=(5+5+6)=16cm
h=9cm
b=1/2 6×4=12cm²
Step-by-step explanation:
S = Ph + 2B=16×9+2×12=168cm²
Carter and his children went into a bakery where they sell cupcakes for $3 each and
cookies for $0.50 each. Carter has $35 to spend and must buy a minimum of 15
cupcakes and cookies altogether. If x represents the number of cupcakes purchased
and y represents the number of cookies purchased, write and solve a system of
inequalities graphically and determine one possible solution. (I need 2 inequality’s)
The price listed for 4 movie tickets is $30. At this rate how much is the cost of 10 tickets?
Answer:
75
Step-by-step explanation:
4/30 = 10/x
cross multiply: 300=4x
divide: 300/4= 75