The next day they will drive for about 5.5 hours
In given question, Vijay's house is 544 miles from the resort.
after 3 hours of driving, they stop and spend the night at a hotel and then complete the rest of the trip on the second day.
Let in 3 hours of driving, they completed the 'x' miles of distance from their home.
So, they complete the rest of the trip of 544 - x miles on the second day.
Let t be the time in hours they drive on the second day.
Their average speed is 64 miles per hour.
⇒ 64 = [x + (544 - x) ] / [3 + t]
⇒ 64 = 544 / 3 + t
⇒ 64(3 + t) = 544
⇒ 192 + 64t = 544
⇒ 64t = 352
⇒ t = 5.5 hours
Therefore, The next day they will drive for about 5.5 hours
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yolanda spends 8 2⁄3 hours per month playing soccer. approximately how many hours does she play soccer in a year? (there are twelve months in a year.)
Approximately 1 hour She plays soccer in a year.
What is soccer?Soccer on CBS Sports is various TV programs that have broadcasted soccer matches in the US on CBS, CBS Sports Organization, and Paramount+. These matches are from Global, European, and American contests. Affiliation football, all the more usually known as just football or soccer, is a group activity played between two groups of 11 players who essentially utilize their feet to impel the ball around a rectangular field called a pitch. Soccer, or football as it's known beyond North America, is the most famous game on the planet. Thus, how could it be played, who plays it, and a lot more inquiries are responded to here.
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can expression be multiplied by a variable
Answer:
yes.
Step-by-step explanation:
if the variable has a number in the problem, yes.
if the variable has no known value, you can't solve it, but you can solve everything else. so yes.
An automobile uses 17 gal of fuel to go 590 mi. how many gallons are required to travel 840 mi? (round your answer to one decimal place.)
Answer:
the car would use 49 gallons because you get a decimal of 49.49 so you would put got decimal to the nearest 1's place and that would be 49
Take the square root of both sides to get the solution
The equation is: (x - 8)^2 = -8
Here is a picture of what I mean.
(I need an answer fast.)
The solution to the given equation is 8±2√2 i
Solving rational equationsAn algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations
Given the equation below
(x - 8)^2 = -8
Take the square root of both sides to have:
√(x-8)^2 = √-8
x-8 = ±√-8
x-8=±2√2 i
x = 8±2√2 i
Hence the solution to the given equation is 8±2√2 i
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please help me it is due today
Answer: 6
Step-by-step explanation:
100,000 subtract from 63,482.50 equals
63,482.50-100,000=63,382.50
An experiment was performed to find the average speed of a grasshopper. The average speed has been plotted on the number line as marked by the arrow,
Hi
10 feet/sec
11 feet/sec
What is the speed of the grasshopper in feet per second?
B
33
C
Answer:
10.375ft/s
Step-by-step explanation:
We need to read the number from the plot. The range from 10 to 11 is divided into 8 segments, so each segment is (11-10)/8=0.125
The answer is at 10 + 3 segments, so 10 + 3*0.125 = 10.375
Convert 50 grains to milligrams (to the nearest tenth).
mg
Answer:
3240milligramsStep-by-step explanation:
multiply the value in grains by the conversion factor '64.798'.
So, 50 grains = 50 × 64.798 = 3239.900 milligrams.
round 3240
Suppose that 24 inches of wire costs 72. At the same rate, how much (in cents) will 49 inches of wire cost?
I'm assuming the "costs 72" is referring to 72 cents.
If so, then this is one way to solve:
(24 inches)/(72 cents) = (49 inches)/(x cents)
24/72 = 49/x
24*x = 72*49
x = 72*49/24
x = 147
It costs 147 cents, aka $1.47, to get 49 inches of wire.
number 4 please!! thank you
Answer: correct
Step-by-step explanation:
Mona is purchasing a shirt. the total cost, c, of the shirt will be the price of the shirt, p, increased by 6% of the price of the shirt for sales tax. write an equation that represents the total cost of the shirt?
The equation representing total cost of the shirt is c = 1.06p.
As per the question, we are representing the total cost of the shirt as c and price of the shirt as p.
Calculating sales tax on the shirt -
Sales tax = p × 6%
Converting percentage to fraction and hence decimal form
Sales tax = p× 6/100
Sales tax = 0.06p
Forming the equation now -
Total cost = price of the shirt + sales tax on the shirt
c = p + 0.06p
Performing addition on Right Hand Side of the equation to find the equation representing total cost
c = 1.06p
Therefore, the equation representing the total cost of the shirt is c = 1.06p.
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What is 4 divided by 3?
Answer:
la respuesta de esta división es
1.333333>
The table shows the results of an experiment in which three coins were tossed.
What is the experimental probability that all three of the coins will be heads? The theoretical probability?
The experimental probability that all three of the coins will be head is 1 / 10.
The theoretical probability that all three of the coins will be head is 1/8.
What are the probabilities?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.
Experimental probability is based on the result of an experiment that has been carried out multiples times.
Experimental probability = number of times all heads is gotten / total number of tosses
5/50 = 1/10
Theoretical probability = number of times all heads can be gotten / total number of possible outcomes
1/8
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Solve the following equation.
-2(n+7)=15
what is the approximent distance between the points (1, -2) and (-9, 3) on a coordinate grid
Using the distance formula, the approximate distance between the points (1, -2) and (-9, 3) is: 11 units.
How to Find the Distance of Two Points?To find the distance of two points on a coordinate grid, the distance formula that is employed is: d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Given the points are on a coordinate grid:
(1, -2) = (x1, y1)
(-9, 3) = (x2, y2)
Plug in the values into the distance formula:
d = √[(−9−1)² + (3−(−2))²]
d = √[(−10)² + (5)²]
d = √(100 + 25)
d = √125
d = 11.18034
d ≈ 11 units.
Therefore, using the distance formula, the approximate distance between the points (1, -2) and (-9, 3) is: 11 units.
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joyce paid $80 for an item at the store that was 30 percent of the original price. what was the original price?
$114 was the original price of an item.
What does the word percent mean?
A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.Equation for Price Reduction:
Original Price * Percent Remaining of Original = New Price
Plug in the given values into the equation:
Original Price * 0.7 = $80
Divide both sides by 0.7 to isolate the Original Price:
80/0.7 = $114
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what is the measure of the smaller angle between the hands of a $12$-hour clock at $12:25$ pm, in degrees?
The smaller angle made by the hour hands of a clock at a given time is 137°30'. It is attained by using the concept of clocks on the problems.
What is a clock?
A clock is a device which is used for measuring and indicating the time. It has three hands, namely an hour hand, a minute hand and a second hand. A clock can be classified in two ways, one is a 12-hour clock and the other is a 24-hour clock.
Calculation of the smaller angle made by the hour hand
For minute hand,
60 min makes an angle 360°
1 min = 6°
25 min = 6° × 25
= 150°
For hour hand,
12 hours makes an angle 360°
1 hour = 30°
1 min = 30° / 60
= 1/2°
25 min = 1/2° × 25
= 12°30'
The smaller angle made by hour hand is given by 150° - 12°30'
=137°30'
Hence, the smaller angle between the hour hands is 137°30'.
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determine whether the statement describes a descriptive or inferential statistic. a survey of 1455 people revealed that 53% work a full-time job; therefore it can be assumed that 53% of the u.s. population works a full-time job.
The given statement describes descriptive statistics.
What is Descriptive statistics?In the count noun sense, a descriptive statistic is a summary statistic that quantitatively describes or summarizes features from a collection of data, whereas descriptive statistics (in the mass noun sense) is the process of using and analyzing those statistics. Descriptive statistics differ from inferential statistics (or inductive statistics) in that they seek to summarize a sample rather than learn about the population that the sample of data is thought to represent. This generally means that, unlike inferential statistics, descriptive statistics are not based on probability theory and are frequently nonparametric statistics. For example, knowing that all of the participants in our example wore blue shoes would be useless.Therefore, the given statement describes descriptive statistics.
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Find the coordinates of the midpoint of a segment with the given endpoints. Then find the distance between the following pair of points. (Lesson 1-3)
P(26,12) and Q(8,42)
The coordinates of the midpoint is M(x, y) = (17, 27) and its length is 6√34 units.
How to find the coordinates of the midpoint of a line segment
In this problem we have the coordinates of two endpoints of a line segment, of which we must find the location of its midpoint by using the midpoint formula, whose vector form shall be used. Later, we determine the length of the line segment by calculating the vector behind the line segment and its magnitude.
If we know that P(x, y) = (26, 12) and Q(x, y) = (8, 42), then the location of its midpoint and its length are, respectively:
Midpoint
M(x, y) = 0.5 · P(x, y) + 0.5 · Q(x, y)
M(x, y) = 0.5 · (26, 12) + 0.5 · (8, 42)
M(x, y) = (13, 6) + (4, 21)
M(x, y) = (17, 27)
Length
PQ = (8, 42) - (26, 12)
PQ = (- 18, 30)
PQ = √[(- 18)² + 30²]
PQ = 6√34
The coordinates of the midpoint is M(x, y) = (17, 27) and its length is 6√34 units.
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5. Susan is selling raffle tickets for $4. She collects a total of
$284. How mary tickets did she sell?
Bro each ticket is 4$. You just divide the money she earned with how much a ticket costs;
284/4 = 71 tickets
according to a report on sleep deprivation by the centers for disease control and prevention, the proportion of california residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.8% for oregon residents. these data are based on simple random samples of 11,545 california and 4,691 oregon residents. perform a hypothesis test to investigate if there is evidence of a difference in proportion at a significance level of 0.05. conclude in the context of the study. list the conditions for this hypothesis test.
The 95% confidence range for the difference in the percentages of sleep deprived people in California and Oregon is from -0.0015 to 0.0175.
With a 95% confidence level or 0.05 significance level, we may say that this range overlaps 0 and that the proportions are not statistically different. In other words, based on the findings from this sample, the proportion of the CA and OR populations may be equal.
What is a confidence interval?
A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, however other levels, such 90% or 99%, are occasionally used when computing confidence intervals. The percentage of related CIs over the long run that include the parameter's actual value is represented by the confidence level. For instance, 95% of all intervals calculated at the 95% level should include the parameter's actual value.
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Please help meeee! Find all parts. SHOW YOUR WORK
The unknown angles are as follows:
x = 29z = 13∠RIG = 59°∠ZIM = 149°How to find angles when line intersect?∠AIM is perpendicular to IR.
Therefore,
∠RIM = 90°
Line AM, ZG and RI intersect at point I.
Therefore,
3x - 56 = x + 2 (vertically opposite angles)
3x - x = 2 + 56
2x = 58
x = 58 / 2
x = 29
4z + 7 + x + 2 = 90
4z + 7 + 29 + 2 = 90
4z = 90 - 7 - 2 - 29
4z = 52
z = 52 / 4
z = 13
∠RIG = 4z + 7
∠RIG = 4(13) + 7
∠RIG = 52 + 7
∠RIG = 59°
∠ZIM = 4z + 7 + 90
∠ZIM = 4(13) + 7 + 90
∠ZIM = 52 + 7 + 90
∠ZIM = 59 + 90
∠ZIM = 149 degrees
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Matt had 6 books to read. Each book has 11 pages. He has already read 60 pages. How many pages does he have left to read?
Fwam is going to an amusement park. The price of admission into the park is $10,
and once he is inside the park, he will have to pay $3 for every ride he rides on. How
much money would Fwam have to pay in total if he goes on 14 rides? How much
would he have to pay if he goes on r rides?
Cost with 14 rides:
Cost with r rides:
Submit Answer
attempt 1 out of 2
What is the volume, in cubic centimeters, of the cylinder? Round your
answer to the nearest hundredth
12.3 cm
4.5 cm
1
1
cm³
Answer:12.3cm 4.5cm=
≈782.49
Step-by-step explanation:
V=πr2h=π·4.52·12.3≈782.49219
write a phrase as an expression of 22 and a number a
Write the phrase as an expression the quotient of 22 and a number [tex]a[/tex].The quotient of 22 and [tex]a[/tex] number = 22/[tex]a[/tex]
Given that
number = 22
quotient = [tex]a[/tex]
To find
The mathematical equation or relation between quotient of 22 and a number [tex]a[/tex].
So according the question
We have
quotient = 22
divisor = [tex]a[/tex]
For finding the relation between given quotient and divisor, let's firstly know about Dividend, Divisor, Quotient and Remainder,
In Mathematics, the dividend is the value that is divided by another value to get the result. The dividend is the base of any division method.
An integer that divides another integer to obtain a result is called a divisor. The result of this division, or quotient, is the dividend, which is the original number that was divided.
Quotient = Dividend ÷ Divisor
When we divide one number by another, the result is a quotient. As an illustration, when we divide 6 by 3, we obtain the answer 2, which is the quotient. A decimal or an integer can both be used as the quotient. When dividing exactly, as when 10 ÷5 = 2, the quotient is an integer, whereas when dividing roughly, as when 12÷ 5 = 2.4, the quotient is a decimal. Although a quotient can be greater than the divisor, it will never be greater than the dividend.
The value remaining after division is known as the Remainder. After division, we are left with a value if a number (dividend) cannot be divided entirely by another number (divisor). This value is called the remainder.
Now, from question
We have a quotient of 22 that is [tex]a[/tex].
So, 22 fully divided by [tex]a[/tex].
In mathematical form,
= 22/[tex]a[/tex]
The quotient of 22 and [tex]a[/tex] number = 22/[tex]a[/tex]
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Solve for the value of p.
(6p+3) (9p-3)°
Answer:
p = 12
Step-by-step explanation:
Angles in a straight line sum to 180 degrees. Given the two algebraic angles, this can be expressed as follows:
(6p + 3) + (9p - 3) = 180
Take out the brackets:
6p + 3 + 9p - 3 = 180
Combine the like terms:
15p = 180
Divide both sides by 15:
p = 180/15
Simplify:
p = 12
If you want to verify the answer is correct, substitute it back into the original equation:
(6(12) + 3) + (9(12) - 3) = 180
The length of a rectangle is thirteen less than two and a half
times its width. The perimeter of the rectangle is 100 feet.
The area of the rectangle is 576.
An area is the total amount of space enclosed by a shape or figures. In this case, the rectangle would be the shape or figure that is being defined and its area would be the total amount of space enclosed by it.
The length of the rectangle is 13 less than 2 and a half times its width means : L=2 [tex]\frac{1}{2}[/tex] w-13
Using the perimeter formula of the rectangle P= 2(L-W) we have
P=100
So
100=2(2( [tex]\frac{1}{2}[/tex])w-13+w)
Solve for W:
100= 2×[tex]\frac{5}{2}[/tex]w-26+2w
100=10/2w-26+2w
100=5w-26+2w
100=7w-26
100+26=7w
126=7w
126/7=w
W=18
We can find the length L=2 [tex]\frac{1}{2}[/tex]w-13 = [tex]\frac{5}{2}[/tex](18) -13
=45-13
L= 32
Area of the rectangle is A= L×W= 32×18=576
Hence, the area of rectangle is 576.
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Find the coordinates of the midpoint of a segment with the given endpoints.
J(-11.2,-3.4), K(-5.6,-7.8)
The coordinates of the midpoint of a segment with the given endpoints (-8.4, -5.6)
How to find the coordinates of the midpoint of a segment with the given endpoints?The endpoints are given as
J(-11.2,-3.4), K(-5.6,-7.8)
The coordinates of the midpoint is calculated as
Midpoint = 0.5(x1 + x2, y1 + y2)
So, we have
Midpoint = 0.5(-11.2 - 5.6, -3.4 - 7.8)
This gives
Midpoint = (-8.4, -5.6)
Hence, the coordinates of the midpoint of a segment with the given endpoints (-8.4, -5.6)
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Solve equation.
a-7=9
To solve the equation, add 7 to both sides. The solution is a = 16.
A linear equation is an equation of which the highest degree of its variables is 1.
Steps to solve linear equations:
Simplify the expressions. If there are parentheses, remove them by multiplying the corresponding terms.Combine the same terms.Isolate the variable on one side by using subtraction or addition.Use division or multiplication to find the value of the variable.Recall that if we subtract or add the same number to both sides of an equation, it does not change the equality.
The given problem:
Solve a-7=9
The variable is a. To isolate a, remove -7 by adding 7 to both sides:
a-7 +7 = 9 +7
a = 16 (solved)
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