Goran is participating in a 6-day cross-country biking challenge. He biked for 51, 65, 62, 46, and 62 miles on the first five
days. How many miles does he need to bike on the last day so that his average (mean) is 56 miles per day?
Answer:
i dont understand?
Step-by-step explanation:
I have an old alarm clock, on which the hands move at only 95% of the speed that they should do.
I need it to wake me up at 7.30 am, so every night, at 10.30pm, I change the time shown on the
clock so that it will show the correct time at 7.30 am when the alarm goes off.
(a) What time does the clock show at 10.30 pm, immediately before I change it?
(b) What time do I change it to?
Please help immediately!!!
9514 1404 393
Answer:
a) 9:45 pm
b) 10:57 pm
Step-by-step explanation:
In the 15 hours between 7:30 am and 10:30 pm, the clock hands will have moved 15×0.95 = 14.25 hours = 14 hours and 15 minutes.
At 10:30 pm, the clock indicates 9:45 pm.
__
b) In the 9 hours between 10:30 pm and 7:30 am, the clock will have moved 9×0.95 = 8.55 hours, or 8 hours 33 minutes. That is, the clock needs to be set 27 minutes ahead of the actual time.
The clock need to be set to 10:57 pm.
_____
Alternate solution
At 95% speed, the clock loses 5%×60 minutes = 3 minutes each hour. In the 15 hours from morning to night, the clock will be 45 minutes slow. It will indicate 9:45 at 10:30 pm.
In the 9 hours from night to morning, the clock will lose 27 minutes so needs to be set 27 minutes fast. It should be set to 10:57 pm at 10:30 pm.
Please help I will give brainliest
AnswerAnswer: If I find the answer i will give it to you
Step-by-step explanation:
Find two square numbers that total 45
hi guys please help me to solve the following question
Answer:
D!
Step-by-step explanation:
To find the area, we multiply the length times the width to find the number of squares in each box.
A) 1 square down times 7 squares across is 1 x 7, which is 7.
B) 2 squares down times 6 squares across is 2 x 6= 12.
C) 3 squares down times 5 squares across is 3 x 5 = 15.
D) 4 squares down times 4 squares across = 4 x 4 =16.
16 is the biggest number here, so that is the greatest area!
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Write 0.000000624 in scientific notation
Answer:
6.24 x \(10^{-7}\)
Step-by-step explanation:
0.000000624 in scientific notation is 6.24 x \(10^{-7}\)
Answer:
Step-by-step explanation:
The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.
The perimeter of a yard is 60 meters. The length is six less than twice the width. What are the dimensions of the yard?
Length = 18 meters,
Width = 12 meters
B
Length = 36 meters,
Width = 24 meters
C
Length = 24 meters,
Width = 36 meters
D
Length = 12 meters,
Width = 18 meters
Answer:
Length = 18 meters,
Width = 12 meters
Step-by-step explanation:=
Step one:
given data
perimeter= 60 meter
let the width be x
W=x
L=(2x-6)
Step two:
we know that perimeter of a rectangle is given as
P=2W+2L
60=2x+2(2x-6)
60=2x+4x-12
60=6x-12
collect like terms
6x= 60+12
6x=72
divide both sides by 6
x=72/6
x=12
Width is 12m
from L=(2x-6)
L=2*12-6
L=24-6
L=18m
Find the surface area of this triangular promise correct unit
The surface area of the triangular prism would be =324,000cm²
How to calculate the triangular surface area of the given prism?To calculate the surface area of the triangular prism the formula that should be given would be as follows:
Surface area of triangular prism;
Surface area of triangular prism;= bh+(b1+b2+b3)l
where:
base length = 20cm
height = 15cm
length = 18cm
SA = 20×15(20+15+25)×18
= 300×60×18
= 324,000cm²
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Which of these points is on circle with a center at (0, 0) that includes the point (-1, -3)?
¿Cuál de los siguientes puntos está en el círculo con centro en (0,0) y incluye el punto (-1.-3)?
A. (0, 10)
B. (10, 10)
C (V10,0)
D(V10,10
Answer:(0,10)
Step-by-step explanation:
The points On circle with a center at (0, 0) that includes the point (-1, -3) would be (0, 10).
What is the equation of the circle with radius r units, centered at (x,y) ?If a circle O has a radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane,
then, its equation is given as:
\((x-h)^2 + (y-k)^2 = r^2\)
We have given On circle with a center at (0, 0) that includes the point (-1, -3).
So the equation form
\((x-h)^2 + (y-k)^2 = r^2\)
\((x-0)^2 + (y-0)^2 = r^2\\\\x^{2} +y^{2} =r^{2} \\\\(-1)^{2} +(-3)^{2} =r^{2} \\\\r^{2} = 10\)
So, the other point that satisfies the equation would be (0, 10).
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The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
Select one:
a.
bus
b.
car
c.
subway
d.
train
Seth's father is thinking of buying his son a six-month movie pass for $40. With the pass, matinees cost $1. If matinees are normally $3.50 each, how many times must Seth attend in order for it to benefit his father to buy the pass?
by the way: I am doing this assignment on formative and when I put the answer in it says it is wrong
Seth must attend 16 matinees in order to break even. Additionally, Seth will see a benefit from attending his 17th show.
What is linear equation?
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
This can be solved using a linear equation.
Original Equation: x+40 = 3.50x
Subtract "X" from both Sides: 40 = 2.5X
Divide both sides by 2.5 X = 16.
Therefore, Seth must attend 16 matinees in order to break even. Additionally, Seth will see a benefit from attending his 17th show.
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A manufacturing company currently uses 15 workers to load and unload trucks. Each worker can move an average of 15 boxes per minute. A robotics firm has built a robot that can load and unload boxes at the rate of 21 boxes per minute. How many robots will it take to do the same job as the 15 humans?
It will take 11 robots to do the same job as the 15 humans
Explanation:Given:
Workers in use = 15
Each worker can move an average of 15 boxes per minute.
A robot has been built that can move an average of 21 boxes per minute
15 worker would move:
15 * 15 boxes = 225 boxes per minute.
The number of robots it will take to move 225 boxes is:
225/21 = 10.7
It will take 11 robots to do the same job as the 15 humans
Hey! can you help me with question number 2? I am really confused about it
Cafeteria A has 7 packs of granola bars and 12 loose granola bars. Cafeteria B has 3 packs of granola bars and 84 loose granola bars. If the cafeterias have
the same number of granola bars, how many are in each package?
Each package has 18 granola bars.
Step-by-step explanation:This problem can be solved through a system of linear equations.
1. Form the equations.Let "x" be the total number of granola bars that each pack of granola has. Let "y" be the total amount of granola bars that each cafeteria has.
For cafeteria A: \(7x+12=y\)
For cafeteria B: \(3x+84=y\)
Since both equations are solved for y, we may take the argument at the left of the equal sign from both equations and equal them.
\(7x+12=3x+84\).
3. Solve for x.\(7x+12=3x+84\)
\(7x-3x=84-12\) --> Substract 3x and 12 from both sides.
\(4x=72\) --> Simplify by solving the substraction.
\(\frac{4x}{4} =\frac{72}{4}\)--> Divide both sides by 4.
\(x= 18\)
4. Substitute the vallue of x by x on any of the equations.\(y=7(18)+12\\ \\y=138.\)
5. Interpret the results.If a system of linear equations was created, where 2 equations that gave the number of granola bars that each cafeteria has, then the x value obtained when the system was solved, indicates the amount of granola bars that each cafeteria has in each package. Each package has 18 granola bars.
Write an equation of the line in slope-intercept form.
y =
Answer:
y=1/4x+3
Step-by-step explanation:
You can find the slope by starting at the point (4,2), then using "rise over run" you can count up(rise) 1, then side(run) 4. So the slope, or "m" would be 1/4x. The B value is the y Intercept, and the y Intercept is (0,3) so you would write it as 3 in the equation.
Quotient of a number x and 45?
I need help pleaseeee
Answer:
Step-by-step explanation:
This expressions equals \(\sqrt{(x-2)^{2}\)
You can simplify to absolute value of x-2 when x is less than 2
Three pizzas are being split amongst friends. Everyone will get 1/4 of a pizza. How many friends can eat pizza?
Answer:
12 friends can eat pizza
Step-by-step explanation:
if there are 4 slices in each pizza and there are 3 pizzas and 1 slice per person then 12 people will get 1 slice
4x3=12
Simplify. 4+ 1 —— 6———— 4 5 - 4 ——- 5
STEP - BY STEP EXPLANATION
What to do?
Simplify the given expression.
Given:
Step 1
First simplify the numerator.
\(\begin{gathered} 4+\frac{1}{6} \\ \\ =\frac{24+1}{6}=\frac{25}{6} \end{gathered}\)Step 2
Simplify the denominator.
\(5-\frac{4}{5}=\frac{25-4}{5}=\frac{21}{5}\)Step 3
Perform the division operation on them.
\(\frac{\frac{25}{6}}{\frac{21}{5}}\)\(\begin{gathered} =\frac{25}{6}\times\frac{5}{21} \\ \\ =\frac{125}{126} \end{gathered}\)ANSWER
125/126
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
13 ft
5 ft
?
9 ft
6 ft
4 ft
The measure of the missing side length from the given figure is 11 feet.
What is right angle?The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection.
It is referred to as a right angle if the angle formed by two rays exactly equals 90 degrees, or π/2.
The adjacent angles are right angles if a ray is positioned so that its terminus is on a line and they are equal.
In the given figure, assuming that all the intersecting sides meet at right angles.
So, the opposite sides are parallel to each other.
Let x be the length of missing side.
Thus, The length of missing side = Sum of length of parallel sides
Now, x= 5+6
= 11 feet
Therefore, the length of side missing is 11 feet.
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This may be hard to put together, but I need help with an angle equation. I'm looking for example equations and how to do these types of equations. *please note that this equation is completely random and probably ends with an ugly number. it's just an example of a type of problem*
Example: (2x - 4) x=7 so (2x (x=7) - 4) =18
The first term of a geometric sequence is 5 and the multiplier, or ratio, is –2. What is the sum of the first 5 terms of the sequence?
Step-by-step explanation:
s1 = 5
s2 = s1 × -2 = 5×-2 = -10
s3 = s2 × -2 = -10 × -2 = 20
...
now, we could do all that manually.
but there is also a formula for geometric sequence.
in fact, there are 2 - one for finite and one for infinite sequences.
and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.
since we need the sum of the first 5 terms, which of the 2 do you think we need ?
of course, finite, because 5 is a normal number we can "touch". it is not infinity.
so, the formulas for finite sums of geometric sequences are :
if |r| < 1, Sn = a(1 - r^n)/(1 - r)
if |r| > 1, Sn = a(r^n - 1)/(r - 1)
if r = 1, Sn = na
if r = -1, then Sn = a or 0 depending on if n is odd or even.
the sequence is in general
s1 = a
sn = sn-1 × r
in our case a = 5, r = -2.
so, what form of the formula do we need ?
|-2| = 2, and 2 > 1, so ...
S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =
= 5 × 11 = 55
quick check, as the 5 terms are
5
-10
20
-40
80
and their sum is : 55
correct !
Use the Distributive Property to simplify the expression.
7(8+x+2)
Hey there!
The Distributive property states the following:
a(b+c)=ab+ac
Where
a, b, and c can be either constants (numbers) or variables (letters)
Now, simplify by multiplying 7 times the terms inside the parentheses:
7(8+x+2)
7 times 8=56
7 times x=7x
7 times 2=14
so we have
56+7x+14
combine like terms
7x+70
Hence, the simplified expression is
\(\boxed{\boxed{\bold{7x+70}}}\)
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
The required simplified solution is given as 70 +7x.
Given that,
To simplify the given expression 7(8+x+2) using the distributive property.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
As the given condition,
The distributive property is given as,
a(b + c) = ab + ac
Similarly,
7(8 + x + 2) = 7×8 + 7×x + 7×2
= 56 + 7x + 14
= 70 + 7x
Thus, the required simplified solution is given as 70 +7x.
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A bag is filled with an equal number of red, yellow, green, blue, and purple marbles. The theoretical probability of Jonah drawing 2 red marbles from the bag with replacement is one fifth. If the experiment is repeated 100 times, what is a reasonable prediction of the number of times he will select 2 red marbles?
one fifth
5
20
25
Answer:
20
Step-by-step explanation:
The theoretical probability of drawing 2 red marbles from the bag with replacement is one-fifth, which means that the probability of drawing 2 red marbles in any one trial is 1/5 or 0.2.
The number of times Jonah is expected to select 2 red marbles in 100 trials can be predicted using the expected value formula:
Expected value = (Number of trials) x (Probability of success in one trial)
Expected value = 100 x 0.2
Expected value = 20
Therefore, a reasonable prediction of the number of times Jonah will select 2 red marbles in 100 trials is 20. Therefore, the answer is 20.
Answer: 20 i took the test
Step-by-step explanation:
The gasoline tax is a ______ tax
Answer:
Excise tax
Step-by-step explanation:
Correct me if I'm wrong <3
Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 4p − 7 ≥ 9p + 8 true.
PLS HELP ME
The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5
Let's solve the inequality first
4p -7 \(\geq\) 9p +8
Taking p's on the same side we will get :
-7 - 8 \(\geq\) 9p - 4p
-15 \(\geq\) 5p
Divide by 5 into both sides
-3 \(\geq\) p
i.e. p \(\leq\) -3
Therefore p must be less than or equal to -3
From the set, we have the numbers -3,-4,-5 which are less than or equal to -3
Hence the integers -3,-4,-5 will make the inequality 4p-7 \(\geq\) 9p+8 true
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Zaida purchased a used car for $6,500. State tax was 4%, 100 point inspection was $72, $45 for license plate, and $37 for state emissions testing. How much is the total amount paid for the used car plus expenses?
The total amount paid for the used car plus expenses will be $6,914.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Zaida purchased a used car for $6,500.
State tax was 4%, 100 point inspection was $72, $45 for license plate, and $37 for state emissions testing.
Now,
Since, Zaida purchased a used car for $6,500. State tax was 4%, 100 point inspection was $72, $45 for license plate, and $37 for state emissions testing.
Hence, The total amount paid for the used car plus expenses is,
⇒ $6500 + 4% of 6500 + $72 + $45 + $37
⇒ $6500 + $260 + $154
⇒ $6,914
Thus, The total amount paid for the used car plus expenses = $6,914
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If sin theta= 3/4and angle A is in Quadrant I, what is the exact value of tan 2theta in
simplest radical form?
Answer:
-6\(\sqrt{7}\) /434
Step-by-step explanation:
Madelyn is knitting a scarf for a holiday gift. So far, it's 4.5 centimeters long. She plans to
knit every night, adding 5 centimeters per night.
Write an equation that shows the relationship between the number of nights Madelyn spends
knitting, x, and the length of the scarf in centimeters, y.
y =
In order to make the question true the length should be 45cm not 4.5 cm , Solving accordingly
Let nights be xRate of change=5cmThe equation is
y=45-5xAs 45 is base amount we used it as y intercect
This means that the length of the scarf after x nights can be represented by the equation y = 4.5 + 5x.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To create an equation that shows the relationship between the number of nights Madelyn spends knitting, x, and the length of the scarf in centimeters, y, we need to consider the information given.
We know that the scarf is currently 4.5 centimeters long, and Madelyn plans to add 5 centimeters per night.
This means that the length of the scarf after x nights can be represented by the equation:
y = 4.5 + 5x
In this equation,
x represents the number of nights Madelyn spends knitting and y represents the length of the scarf in centimeters after x nights.
Thus,
The initial length of the scarf, 4.5 centimeters, is added to the length of the scarf Madelyn knits in x nights, which is represented by the product of 5 and x.
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A dress that is size x in France is equaivalent to size d(x) in the United States, where d(x)x32.
(a). Find a function that will convert U.S. dress size to French dress size.
(b) Use the inverse function to find the French size of a dress if it is U.S. size .
Answer:
\((a)\ d'(x) = x + 32\) i.e. The inverse function
\((b)\ d'(10) = 42\) i.e. The French size of a dress if it is U.S. size 10 is 42.
Step-by-step explanation:
Given
\(d(x) = x - 32\)
Solving (a): The inverse function
\(d(x) = x - 32\)
Replace d(x) with y
\(y = x - 32\)
Swap y and x
\(x = y - 32\)
Make y the subject
\(y = x + 32\)
Replace y with d'(x)
\(d'(x) = x + 32\)
Hence, the inverse function is: \(d'(x) = x + 32\)
Solving (b): US size of 10
\(d'(x) = x + 32\)
Substitute \(x =10\)
\(d'(10) = 10 + 32\)
\(d'(10) = 42\)