The price in dollars per gallon is 4.02 dollars per gallons.
How to find the price of gasoline in dollars per gallon?Gasoline costs 1.05 euro per litre in France.
The first thing to do is to determine the equivalent amount of the same litre in dollar while in France.
Then, equate it the quantity of litres to gallons.
Hence,
1 euro = 1.01 dollars
1.05 euro = ?
cross multiply
price = 1.05 × 1.01
price = 1.0605 dollars
1 litres = 0.264172 gallons
Therefore,
cost = 1.0605 / 0.264172
cost = 4.01552442257 dollars per gallons
cost = 4.02 dollars per gallons
Therefore, the price in dollars per gallon is 4.02 dollars per gallons.
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QUESTION 3 Let G and H be two events in a sample space. P(G) = 0.4, P(H) = x and P(G or H) = 0.7 3.1 For what value of x are G and H mutually exclusive? (2)
For x = 0.33, the events G and H are mutually exclusive.
Here, we are given that-
P(G) = 0.4
P(H) = x
and P(G or H) = 0.73
⇒ P(G∪H) = 0.73
Now, we know that-
P(G U H) = P(G) + P(H) - P(G ∩ H)
For any two events that are mutually exclusive, the probability that they occur at the same time is 0. Hence, if G and H are mutually exclusive, then P(G ∩ H) will be 0
⇒ 0.73 = 0.4 + x - 0
x = 0.73 - 0.4
x = 0.33
Thus, for x = 0.33, the events G and H are mutually exclusive.
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Say you have 47,964 blocks. For every 4 yellow blocks, you have 1 orange block. For every 4 orange blocks, you have 1 red block. For every 2 yellow blocks, you have 3 blue blocks. How many of each color block do you have?
Please show steps I'm horrible at multiple-ratio problems
Using proportions, the amounts you have of each block are given as follows:
Blue: 25,581.Yellow: 17,054Orange: 4,263.Red: 1,066What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
From the amounts given, you can create the following ratio:
Blue : Yellow : Orange : Red
6 : 4 : 1 : 0.25.
Hence the fractions corresponding to each color are given as follows:
Blue: 6/(6 + 4 + 1 + 0.25) = 6/11.25.Yellow: 4/11.25.Orange: 1/11.25.Red: 0.25/11.25.Hence the number of blue blocks is found as follows:
6/11.25 x 47964 = 25,581.
The number of yellow blocks is given by:
4/11.25 x 47964 = 17,054.
The number of orange blocks is given by:
1/11.25 x 47964 = 4,263.
The number of red blocks is given by:
0.25/11.25 x 47964 = 1,066.
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a dry cleaning store charges $3.50 to clean mens shirt,$4.00 to clean mens pants and $5.00 to clean mens jacket if jose brings ten items for cleaning and pays a total of $48.00 what is the average price he has paid per item
Answer:
the answer is 4.8$
jose brought ten items to the store and for cleaning he payed 48 &
that means that the avarge can be found by. $48.00÷10=$4.8
Answer:
$4.8
Step-by-step explanation:
Average means"mean"
mean=total money/number of items in this case.
=48/10
=4.8$
HURRY PLEASE IM TIMED. Which list of numbers is shown on the number line below? A number line going from negative 3 to positive 2. There are 4 equal spaces between each number. A point is halfway between negative 3 and negative 2. A point is between the second and third mark between negative 2 and negative 1. A point is on the mark 1 space to the right of 0. A point is halfway between 1 and 2. Negative 2.5, 1 and three-fourths, 50 percent, 1.5 Negative 2.5, negative 1 and one-third, 50 percent, 1.5 Negative 2.5, negative 1 and three-fourths, 25 percent, 1.5 Negative 2.5, negative 1 and one-third, 25 percent, 1.5
Answer:
It is A The first one
Step-by-step explanation:
Negative 2.5, 1 and three-fourths, 50 percent, 1.5
Pls Mark Brainliest
Answer:
d
Step-by-step explanation:
PLEASE OPEN THE PHOTO AND ANSWER ILL GUVE BRAINLIEST (SORRY FOR SPELLINGing)
Answer:
Honestly im confused by this but i think its the second one
Step-by-step explanation:
Find the value of the trig function indicated.
In the given triangle, we have
[tex]\tan(\theta) = \dfrac{20}{15} = \dfrac43[/tex]
Recall that
[tex]\sin^2(\theta) + \cos^2(\theta) = 1 \implies \tan^2(\theta) + 1 = \sec^2(\theta)[/tex]
Solving for [tex]\sec(\theta)[/tex], we have
[tex]\sec(\theta) = \sqrt{\tan^2(\theta) + 1} = \sqrt{\left(\dfrac43\right)^2 + 1} = \sqrt{\dfrac{25}9} = \boxed{\dfrac53}[/tex]
(D)
A family's monthly utility costs are: phone $200, electric $100, cable TV $100, water/gas $50, internet $50. By eliminating cable, by what percent does the family reduce total utility cost?
Answer: The total will drop by 20%
Hi! I’m struggling on this math book, above is the image of the problem please only tell me the answers of the boxes. Thank you (Will give branliest to the person who gives me the right answer)
sum (2M^2+m)+(2m^2+m)
different 5(m^2+ m)-(m^2+3M)
Please help me with this
Answer:Number 1 I think is -24 because the minus sign is right next to the () so that means multiply so - times negative is + 24 but then it says opposite so 24
number 2 I think 8 because positive times negative is negative then the opposite is positive 8
number 3 is -15 cause positive times positive is positive then the opposite of 15 is -15
number 4 is positive 33 because negative times positive is negative then the opposite is postive 33
number 5 is 40
and number 6 is -6 hope this helps
Step-by-step explanation:
A bowl contains blueberry and strawberry there are a total of 20 berries in the bowl The ratio of blueberry to strawberry is 2:3
Answer:
8:12
Step-by-step explanation:
2+3=5
20/5=4
2x4=8
3x4=12
6.
Caitlyn writes in her lab book that she
has four hundred seventeen thousandths
of a kilogram of a substance. Which
number represents this amount?
A. 0.0417
B. 0.417
C. 0.467
D. 4,170
BD bisects angle ABC. Solve for x and find m angle ABC.
m angle ABD = 6x-8, m angle CBD = 3x + 4
Answer:
The value of x = 4
so
m ∠ABD = 6x-8 = 6(4)-8 = 24-8 = 16m∠CBD = 3x+4 = 3(4)+4 = 12+4 = 16Step-by-step explanation:
We know that an angle bisector bisects the angle into two equivalent angles.
When BD bisects angle ABC, it forms two equivalent angles which are:
m∠ABDm∠CBDsuch as
m∠ABD = m∠CBD
as
m ∠ABD = 6x-8
m∠CBD = 3x+4
so the equation becomes
m∠ABD = m∠CBD
6x-8 = 3x+4
6x - 3x = 4 + 8
3x = 12
Divide both sides by 3
x = 4
Thus, the value of x = 4
so
m ∠ABD = 6x-8 = 6(4)-8 = 24-8 = 16m∠CBD = 3x+4 = 3(4)+4 = 12+4 = 16Robert bought two movie tickets for $10. Deion spent $20 on 4 movie tickets.
please help me ‼️
Answer:
Your answer is 5$ because robert bought 2 tickets for 10$ but Deion spent 20$ on 4 tickets so if we divide 20 by 4 then the answer will be 5.
Answer:
Step-by-step explanation:
5 dollars per movie ticket
The pressure , P, measured in pounds per square inch (psi ) on an object under water varies directly with its depth , d measured in feet . If the pressure on an object at a depth of 20 feet is 8.6 psi, what is the pressure on an object at a depth of 25 feet ?
Answer:
10.75 psiStep-by-step explanation:
Let the equation be:
y = kx, where y- pressure, k- constant, x - depthFor the depth of 20 ft, the equation is:
8.6 = 20kk = 8.6/20k = 0.43For the depth of 25 ft, the pressure is:
y = 0.43*25 = 10.75 psiis this right? please correct me if I'm wrong.
Answer:
Yes it seems that it is right
Which has a value closest to 9?
63
110
99
183
Answer:
64
Step-by-step explanation
Please and thank you
Food revenue of a restaurant is 80% of the total revenue. Lunch revenue of the total revenue is
a.5/8
b.1/6
c.2/5
d.1/4
e.1/3
Answ2/er:
Step-by-step explanation:
RADIUS OF A CIRICLE WITH A DIAMETER OF 40 INCHES
find the value of this expression is x=-2
x-4/x
Answer:
no soulition
Step-by-step explanation:
Answer: -2(x+2)/x
Step-by-step explanation: solve this equation and you will ge the final product
Find the coefficient of x^7 in (x+4)^7
Suppose that quiz scores in a beginning statistics class have a mean of 6.4 with a standard deviation of 0.6. Using Chebyshev's Theorem, state the range in which at
least 75% of the data will reside. Please do not round your answers.
Answer
How to enter your answer (opens in new window)
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Keypad
(5.2,7.6)
mean=6.4
standard deviation=0.6
we have to find the range in which at least 75% of the data will reside
1-1/k²=0.75
1/k²=1-0.75
1/k²=0.25
k²=1/0.25=4
k=2
so, k=2
The range of values can be computed as mean±k(standard deviation).
Thus, the range in which at least 75% of the data will reside is
(mean-k(standard deviation), mean+ k(standard deviation))
(6.4-2(0.6),6.4+2(0.6)
(6.4-1.2,6.4+1.2)
(5.2,7.6)
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LOOK A PICTURE HURRY PLS LIKE RIGHT NOW
Answeri think it’s 96 or 84 I’m. It sure I had this like 3 years ago
Step-by-step explanation:
Write your answer with no spaces and any friction with “/“
Answer:
y=-5/3x+1
Step-by-step explanation:
The answer is y=-5/3x+1 because you would do the exact opposite of rise over run where it rises 5 units up and 3 units shifted right but instead it is still 3 units that are shifted to the right but 5 units down. We can also assume that the y-intercept is 1 based on where the slope is placed.
5xf(1)+5xg(9)
solve this please evaluate functions expressions
Answer:
Solution is the 5fx+45gx
Semester exam please provide explanation for brainlist
Answer:
c
Step-by-step explanation:
WHAT AM I DOING WRONG?
Write the equation -4x^2+9y^2+32x+36y-64=0 in standard form. Show each step of the process.
Answer:
you are doing -4. so the first parenthesis -4(x+2x+1) is incorrect.
Step-by-step explanation:
Hope this helps plz hit the crown :D
Answer:
-4(x-4)²+9y(y+4)=0
Step-by-step explanation:
If we put the -64 with the x’s instead of the y’s, we get:
-4x²+32x-64+9y²+36y=0
-4(x²-8x+16)+9y(y+4)=0
-4(x-4)²+9y(y+4)=0
answer correctly!!!!
Answer:
Y= 0
Step-by-step explanation:
Because y=4 it would be a straight horizontal line so the other line would have to be horizontal
$7.49
Takis Tortilla Chips Variety Pack 18 Count
what is the unit rate of the product
Answer:
About 42 cents
Step-by-step explanation:
What we know:
An 18-count variety pack of Taki's chips costs $7.49.
To find the unit rate divide 7.49 by 18, and round to the nearest cent.
7.49/18
Before we do that, what is 749/18?
749/18 = 41 11/18
Divide that by 100 to get your answer
41.61111/100 = 0.4161111, which rounds to 42 cents.
Which expression represents a cube root of –8?
Answer:
C
Step-by-step explanation:
Edge2021
An expression that represents a cube root of -8 is [tex]2(cos(\frac{\pi}{3} )+i~sin(\frac{\pi}{3} ))[/tex]
What is complex number?"It is combination of a real number and an imaginary number.""The complex number is of the form of a + ib, where a, b are real numbers and i = [tex]\sqrt{-1}[/tex]"How to write complex number in trigonometric form?For a complex number z = a + ib, the trigonometric form is [tex]r(cos\theta +isin\theta)[/tex]
where [tex]r=|\sqrt{a^{2} +b^{2} } |[/tex] and [tex]\theta=tan^{-1}(\frac{b}{a} )[/tex]
For given question,
We need to find the cube root of -8
[tex]\sqrt[3]{-8}[/tex]
We can write above number as complex number.
[tex]\sqrt[3]{-8}\\ =\sqrt[3]{8\times (-1)}\\ =\sqrt[3]{8}\times \sqrt[3]{-1}\\ =2 \times(-1)^\frac{1}{3}[/tex]
Consider a complex number z = -1
We can write -1 in trigonometric form as, [tex]-1=cos(\pi)+isin(\pi)[/tex]
We know, [tex](cos\theta +isin\theta)^{\frac{1}{n} }=(cos(\frac{1}{n} \theta )+isin(\frac{1}{n} \theta))[/tex]
So,
[tex](-1)^{\frac{1}{3} }\\\\=(cos\pi+i~sin\pi)^{\frac{1}{3} }\\\\=cos(\frac{\pi}{3} )+i~sin(\frac{\pi}{3} )[/tex]
Therefore, an expression that represents a cube root of -8 is [tex]2(cos(\frac{\pi}{3} )+i~sin(\frac{\pi}{3} ))[/tex]
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