A half-gallon jug of the same wine would cost $10.82
How much would a half-gallon jug of the same wine cost in dollars?The given parameter is:
0.8-liter bottle = 90 pesos
As a general rule of conversion
1 liter = 0.26 gallon
This means that:
0.8 liter = 0.8 * 0.26 gallon
Evaluate
0.8 liter = 0.208 gallon
Substitute 0.8 liter = 0.208 gallon in 0.8-liter bottle = 90 pesos
0.208 gallon = 90 pesos
Divide both sides by 0.208
1 gallon = 432.69 pesos
Divide both sides by 2
0.5 gallon = 216.35 pesos
1 peso = 0.050 United States Dollar
So, we have:
0.5 gallon = 216.35 * $0.05
Evaluate
0.5 gallon = $10.82
Hence, a half-gallon jug of the same wine would cost $10.82
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if vectors A&B are non zero vectors ,is it possible for their dot product and cross product to be zero? explain.
Answer:
It can be proved that it’s impossible.
The dot product is defined as:
a⋅b=∥a∥∥b∥cos(θ)
where θ is the angle between a and b .
The cross product is defined as:
a×b=∥a∥∥b∥sin(θ)n^
and the magnitude of this is given by:
∥a×b∥=∥a∥∥b∥sin(θ)
We also know that:
cos2(θ)+sin2(θ)=1
We can substitute the dot product and the magnitude of the cross product in here, to find:
(a⋅b)2+∥a×b∥2=∥a∥2∥b∥2
We’ve specified that a and b are non-zero vectors, so the right hand side cannot be zero. As a result, at least one of (a⋅b)2 or ∥a×b∥2 must be non-zero.
Step-by-step explanation:
Write an equation for each line (L,P,N,M)
do you have it on edg???
can u guys help me please dont steal or guess ( will give brainiest for proof)
Answer:
30 feet
Step-by-step explanation:
To find the distance use a trigonometric ratio. Since we are looking for the hypotenuse and we are given the opposite side we will be using the ration of sine. We can set up the equation like this by using x as the measure we are looking for.
Sin of x=Opposite leg/Hypotnuse
Sin of 30= 15/x
Multiply by x and then divide by Sin of 30 to isolate the x.
x=15/Sin of 30
Plug it in to a calculator.
x=30
Slope=1/4; y -intercept = 2
Answer:
y=1/4x+2
Step-by-step explanation:
im not sure what your problem is here, so im just gonna assume you have to put it into slope intercept form
Five positive whole numbers add up to 47
One of the numbers is a multiple of 9
The other four numbers are equal.
Work out the result when the five numbers are multiplied.
Greetings from Brasil...
According to the statement
A + B + C + D + E = 47
making B the multiple of 9
A + 9B + C + D + E = 47
as the other 4 numbers are the same, let's call it A
A + 9B + A + A + A = 47
4A + 9B = 47 assigning values to B, we have
B = 1 ⇒ A ∉ ℤ
B = 2 ⇒ A ∉ ℤ
B = 3 ⇒ A = 5
B = 4 ⇒ A ∉ ℤ
B = 5 ⇒ A ∉ ℤ
B = 6 → from now on, A will be negative
Then
A = 5 and B = 3
Multiplying all numbers:
A·9B·A·A·A = 9A⁴B = 9·5⁴·3 = 16875
b + 11 = -12 can u help?
Answer:
b = -23
Step-by-step explanation:
b + 11 = -12
Subtract 11 from both sides
b = -23
Answer:
b=-23
Step-by-step explanation:
b+11=-12
b=-12-11
b=-23
The sum of the squares of two consecutive odd integers whose products is 202. Find the integers.
Answer:
Step-by-step explanation:
What is the distance between point A(3, 3) and point B (-3,-3)? necessary, round to the nearest 10th
Answer:
[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
formula
AB=[tex]\sqrt{(x_{a}-x_{b})+(y_{a}-y_{b})}[/tex]
what is the first thing you do when you see words "subtracted from"
32
Step-by-step explanation:
Best and Correct answer gets BRAINLIEST!!!!!
How do I solve this step for step? This is confusing..
0.125 < π < 9/50 (fraction)
The solution to the inequality expression given as 0.125 < π < 9/50 is false
What are inequality expressions?Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal
How to determine the solution to the inequality expression?The inequality expression is given as
0.125 < π < 9/50
Express 0.125 as a fraction
So, we have the following inequality expression
1/8 < π < 9/50
As a general rule, we have
π = 22/7
So, the inequality expression becomes
1/8 < 22/7 < 9/50
Evaluate the quotients
So, the inequality expression becomes
0.125 < 3.14 < 0.18
The number 3.14 is not between 0.125 and 0.18
This means that the inequality expression 0.125 < 3.14 < 0.18 is false
Hence, the solution to the inequality is false
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Tickets to a movie cost 8 dollars for adults and 4 dollars for kids. A large family purchase 24 tickets, and It cost them $168. How many “adult” tickets did they purchase?
A car journey has two stages.
Stage 1: The car travels 110 miles in two hours
Stage 2: The car travels 44 miles at the same average speed as stage 1
Work out the time for stage 2
Give your answer in minutes.
Answer:
48 minutes
Step-by-step explanation:
2h = 110 miles
1h = 110 ÷ 2
= 55 miles
Therefore, the speed of the entire journey is 55 miles per hour.
1h = 60 minutes
55 miles = 1h
55 miles = 60 minutes
44 miles = [tex]\frac{44}{55}[/tex] × 60 minutes
= 48 minutes
Lisa spends part of her year as a member of the gym. She then finds a better deal at another gym, so she cancels her membership with the first gym and spends the rest of the year with the second gym. (12 months total at these gyms.) The membership to the first gym costs $75 per month, while the membership for the second gym cost $50 per month. She ends up spending a total of $775 over the course of the year.
Answer:
Number of month in first gym = 7
Number of month in second gym = 5
Step-by-step explanation:
Given:
First gym member ship cost = $75 per month
Second gym member ship cost = $50 per month
Total spending = $775
Computation:
Number of month in first gym = a
Number of month in second gym = b
So
a + b = 12....eq1
75a + 50b = 775 ....eq2
From eq 1 and 2
a = 7 month
b = 5 month
Number of month in first gym = 7
Number of month in second gym = 5
find the GCF of 24 and 63
Answer:
3
Step-by-step explanation:
:) mark me as brainlist?
Answer:
3
Step-by-step explanation:
The GCF is the largest common positive integer that divides all the numbers (24,63) without a remainder
What is the solution of the following system of equations 5x+7y=3, 2x=-3y+1
Answer:
point form: (2,-1)
equation form: x=2,y=-1
Step-by-step explanation:
Answer:
X = 2 and y = -1
Step-by-step explanation:
add 3y to both sides of 2x = -3y + 1
2x + 3y = 1
5x + 7y = 3
multiply (2x + 3y = 1) by -5 and (5x + 7y =3) by 2
-10x - 15y = -5
10x + 14y = 6
-y = 1
y = -1
plug in y
2x = -3(-1) + 1
2x = 4
divide by 2
x = 2
A number is 2/3 of another number. If the sum of the two numbers is 30, find the smaller number. (Let the other number = x .) the answer choices are
1) 12
2) -9
3) -11
4) 10
Answer:12
Step-by-step explanation:
Identify the underlined place in 131.572. Then round the number to that place
The 5 is underlined
Can someone please help??
Answer:
The 5 is in the tenths place.
Step-by-step explanation:
:)
Answer:
131.6
Step-by-step explanation:
Since the 5 in 131.572 is underlined, we need to round the number to the nearest tenth. When rounding numbers, we need to look at the digit next to the rounded digit. The digit after 5 is 7.
If the digit after that is 1-4, we round down the 5. If the digit after that is 5-9, we round up the 5. Since 7 is between 5 and 9, we round the digit 5 to 6.
Thus, the rounded number would be: 131.6
i need help ASAPwhat is 11x + 9 - 7
5. If f(x) = x3 + 6, what is the value of f(3)?
A. 15
B. 33
C. 39
D.729
Answer:
15....................................
Kevin went car shopping. The scatterplot at the right shows the relationship between the number of miles each of the cars had and their price. Based on the scatterplot, how much would a car with 75,000 miles cost?
Please need help on this one
Answer:
60°
Step-by-step explanation:
wx=√(9²+(3√3)²)=√(81+27)=√108=√(36×3)=6√3
[tex]cos w=\frac{3\sqrt{3}}{6\sqrt{3}} =\frac{1}{2} =cos ~60\\m \angle ~w=60^\circ[/tex]
three consecutive odd integers are such that the square of the third integer is 65 less than the sum of the squares of the first two. one solution is -7, -5, and -3. find three other consecutive odd integers that also satisfy the given conditions
We need to know about quadratic equation to solve this problem. The other three consecutive odd integers that satisfy the conditions are 11, 13 and 15.
We need to consider three consecutive odd integers, odd integers are integers that are not divisible by 2. Odd and even integers occur alternately so the the difference between two consecutive odd integers is always 2. We will consider one odd integer x, the next odd iinteger will be x+2 and the third odd integer will be x+4. Therefore we have our three consecutive odd integers, x, x+2 and x+4. It is said that the square of the third integer is 65 less than the sum of the squares of the first two. We can write this relation as
[tex](x+4)^{2} +65=x^{2} +(x+2)^{2}[/tex]
We can solve this equation to get a quadratic equation, and then solve it for x
[tex]x^{2} +8x+16+65=x^{2} +x^{2} +4x+4\\x^{2} +4x-8x+4-16-65=0\\x^{2} -4x-77=0[/tex]
We will solve the above quadratic equation for x
[tex]x^{2} -4x-77=0\\x^{2} +7x-11x-77=0\\x(x+7)-11(x+7)=0\\(x+7)(x-11)=0\\[/tex]
Therefore we get two values for x -7 and 11, from the question we already know about -7, we will find the three odd integers from 11 now
So the other three consecutive odd integers that satisfy the given conditions are 11,13 and 15.
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What is the equation of the line that passes through the point (4, -4) and has a
slope of –3/4?
Answer:
y=-3/4x-1
Step-by-step explanation:
y=mx+b; y is the y coordinate; m is the slope; x is the x coordinate; you have to find b. So you replace all the numbers out which is given to you;
-4=-3/4(4)+b (you multiply -3/4 by 4 and get -3)
-4=-3+b (you add 3 to both sides and get -1)
-1=b (you now found b so plug it into the equation)
y=-3/4x-1
Kayden wants to ride his bicycle 29.5 miles this week. He has already ridden 13 miles.
If he rides for 3 more days, write and solve an equation which can be used to
determine m, the average number of miles he would have to ride each day to meet his
goal.
Answer:
5.5
Step-by-step explanation:
29.5-13=16.5 16.5÷3=5.5
How is multiplying and dividing rational numbers similar to multiplying and dividing integers?
Im so confused and its so imbecilic as to why
1/6 divided by 1.
HOW DOES SOMEONE FLIP A 1????
Answer:
Simplify the following:
1/6×1/1
1/6×1/1 = 1/6:
Answer: 1/6
Step-by-step explanation:
No need to be confused about anything. One multiplied, raised, divided, and squared always gives the same result.
7 - (3 + 5) + (- 3 + 6) / 3 x 5
Answer:
4
Step-by-step explanation:
Always remember the order of operations: PEMDAS.
7 - (3 + 5) + (-3 + 6)/3 x 5
7 - (8) + (3)/3 x 5 (solve the parantheses first)
7 - 8 + 1 x 5 (3/3 comes first since multiplication and division have the same order; you would go left to right)
7 - 8 + 5 (Multiplication has a higher order than addition and subtraction)
4
Answer:
4
Step-by-step explanation:
Use PEMDAS
7 - (3+5) + (-3 + 6) / 3*5 (solve Parenthesis first)
7 - 8 + 3 / 3 * 5 (solve the division next)
7 - 8 + 1 * 5 (solve the multiplication next)
7 - 8 + 5 (subtract next)
-1 + 5 (lastly add)
4
Hope this helps
choose the answer based on the most efficient method as presented in the lesson. if the first step in the solution of the equation -8 - 7x= -5x -10 is "add 10" then what should the next step be?
Answer:
"Add 7x"
Step-by-step explanation:
-8 - 7x + 10 = -5x - 10 + 10
2 - 7x = -5x
Answer:add 7x
Step-by-step explanation:
Equation Step 1 - Add 10 both side,Step 2 - Add 7x both side,Step 3 - Divide both side by 2,Therefore, The next step should be ''add 7x''.THANKS 35.0(1 vote)AdvertisementAnswer5 people found it helpfultexaschic101Genius13.3K answers222.9M people helped-8 - 7x = -5x - 10....add 10 to both sides2 - 7x = -5x ......NEXT STEP.....add 7x to both sidesTHANKS 55.0(3 votes)Need a bit more clarification? Get a high-quality answer with step-by-step explanations from a professional in just minutes instead!GET A VERIFIED ANSWERAdvertisementStill have questions?FIND MORE ANSWERSASK YOUR QUESTIONNew questions in MathematicsPlease Help me turn vertex form to standard form!! Line r contains points (-5,0) and (6, -2). Which of the following pairs of points define a line parallel to line r ?What is the absolute value of –8? Use the number line to help answer the question.Nathan eats the same amount of lunch meat everyday. If Nathan eats 2 pounds of lunch meat in 8 days, he eats pound(s) of lunch meat per dayIf f(x)=1/x,which equation describes the graphed function? A. y = f(x+2) - 1 B. y=f(x-2) - 1 C.y=f(x+1)-2 D.y=f(x-1)-2whait is the formula of mean deviation 30% of a sum of money is rupees 300. what is the total amount? step by step explanation please subject: linear equations in mathSolve the system of linear equations using the substitution method. Y = 6x + 11 and 2y - 4x = 14 A. (-1, 5) B. (-4, 3) C. (-2, 2) D. (-4, 4)HELP PLS Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 3p − 10 ≥ 7p + 6 true.Sascha owns stock in Lewis Corp and she bought a $5,000 corporate bond. She received $52.50 in quarterly interest from the bond. Sascha also owns stoc…k in Lewis Corp which is worth $46 per share, and it pays a $2 annual dividend. Part A Which is higher, the yield on the stock or the annual interest rate on the bond? Show your work and explain how you determined your solution. Part B If the bond matures in seven years, how much will Lewis Corp have paid Sascha in total? Part C If Sascha owns 1,500 shares of Lewis Corp, how much would she receive in annual dividends? Part D If Lewis Corporation later offers corporate bonds at an annual interest rate that is one percent higher than half the rate of the bond Sascha bought, create an equation that models the quarterly interest earned, q, for any given bond face value, v.LOAD MOREPreviousNextAsk your question
5x - 9 = -24 + 10x
O One solution: -33
O One Solution: 3
O No Solution
O Infinite Solutions
Answer:
One Solution: 3
Step-by-step explanation:
5x - 9 = -24 + 10x
Subtract 5x from both sides. -9 = -24 + 5x
Add 24 to both sides. 15 = 5x
Dived 15/5. 3 = x