Drag and drop numbers into the correct boxes to complete and solve an equation for this situation. In one day, Annie traveled 3 times the sum of the number of hours Brian traveled and 2. Together they traveled 12 hours. Find the number of hours each person traveled. h + __h+ ___=12Brian traveled____hours. Annie traveled___hours. 2 2
Answers
Given:
Let B represent number of hours Brain travelled
Let A represent number of hours Annie travelled.
Since number of hours Annie travelled is 3 time and 2 that of Brain and they travelled for a total of 8 hours, we have:
Annie travelled = 3(B + 2)
Total number of hours travelled = 3(B + 2) + B = 12
Solve for B:
3(B + 2) + B = 12
3B + 6 + B = 12
4B + 6 = 12
4B = 12 - 6
4B = 6
\(B\text{ = }\frac{6}{4}\text{ = }\frac{3}{2}\text{ = 1}\frac{1}{2}\)Brain travelled for 1½ hours
LEt's find the number of hours annie travelled:
A = 3(B + 2)
Substitute B for 1½
A = 3(1½ + 2)
= 4.5 + 6 = 10.5 = 10½
Therefore Annie travelled for 10½ hours.
Brain ravelled for 1½ hours
Annie travelled for 10½ hours.
We have:
\(h+3(h+2)\text{ = 12}\)Where h represents number of hours Brain travelled
Related Questions
What is the maximum of f(x)=sin(x)
Answers
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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Which statement is true about the graphed function
Answers
what is 6 1/3-5 2/3 plz answer quick
Answers
Covert them improper fractions by multiplying the whole number by the denominator and then add the product so you end up with
19/3 - 17/3= 2/3
Answer=2/3
Hiiii I’m stuck on this question plz helppp!!!
Answers
Answer:
D
Step-by-step explanation:
the x axis is 5 and the y axis is -2 so D
Answer:
D
Step-by-step explanation:
185 for 4 tickets whats the price per ticket
Answers
The cost of each ticket is $46.25.
Explain in detail using words the step by step process that Maggie took to solve the problem 6.89 x 10^-4 / 7.5 x 10^-6 = .92 x 10^1
Answers
The steps in solving the given expression shows that the result is:
0.92 * 10²
How to use Laws of Exponents?The expression is given as:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
The steps that Maggie followed are:
Step 1: Rewrite the given expression:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
Step 2: Divide the coefficients:
The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:
6.89 / 7.5 = 0.9186667.
Step 3: Divide the powers of 10:
This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²
Step 4: Combine the results:
This gives:
0.9186667 * 10²
Step 5: Simplify the coefficient:
She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.
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A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the number of heartbeats after t minutes. When the data in the table are graphed, the slope of the tangent line represents the heart rate in beats per minute.??t (min) 36 38 40 42 44?Heartbeats 2510 2647 2784 2915 3048??The monitor estimates this value by calculating the slope of a secant line. Use the data to estimate the patient's heart rate after 42 minutes using the secant line between the points with the given values of t. (Round your answers to one decimal place.)??
(a) t = 36 and t = 42
(b) t = 38 and t = 42
(c) t = 40 and t = 42
(d) t = 42 and t = 44
Answers
Therefore , coordinate problem solution is A) 3140 pulses per minute , B) 2915 beats per minute , C) heartbeat of 2915 beats per minute (D) or 2915.5 beats per minute .
What do coordinates mean?When locating points or other mathematical objects precisely on a region, such as Euclidean space, a coordinate system is a technique that uses one or more numbers or coordinates. Locating a point or item on a the double plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y vectors are used to define a point's location on a 2D plane. a collection of numbers that indicate specific locations.
Here,
The slope method can be used to calculate the patient's heart rhythm after 42 minutes that use the secant line connecting the points with the specified values of t:
Heartbeat change / time change is the trend.
The heart rate can then be estimated using this slope value along with the number for heartbeats at t = 42 minutes.
A)Using coordinates 36, 2510, and 42, 2915 as examples:
Cardiac rate at 42 minutes = 2510 + (42 - 36) * 75 = 3140 Slope = (2915 - 2510) / (42 - 36) = 75
b) Using coordinates (38, 2647) and (42, 2915), respectively:
Cardiac rate at 42 minutes = 2647 + (42 - 38) * 67 = 2915 Slope = (2915 - 2647) / (42 - 38) = 67
c) Applying the values (40, 2784) and (42, 2915):
Heart rate at 42 minutes = 2784 + (42 - 40) * 65.5 = 2915.5 Slope = (2915 - 2784) / (42 - 40) = 65.5
Using coordinates (42, 2915), and (44, 3048), respectively:
Cardiac rate at 42 minutes = 2915 + (42 - 42) * 66.5 = 2915 Slope: (3048 - 2915) / (44 - 42) = 66.5
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Imagine
X
in the below is a missing value. If I were to run a median imputer on this set of data what would the returned value be?
50,60,70,80,100,60,5000,x
(It's okay to have to look up how to do this!) An. error 80 100 70 The features in a model.... None of these answers are correct Are always functions of each other Kecp the model validation process stable Are used as proxics for y-hatfy (that is yhat divided by y) Which of the below were discussed as being problems with the hold out method for validation? Outliers can skew the result Validation is sometimes too challenging
K=3
is not sufficiently large cnough Data is not available for test and control differences. The modefis not trained on all of the day
Answers
The returned value would be 70 which is the missing value in the data set. Hence, option D is correct. We have some X values; we called these numeric inputs and some Y value that we are trying to predict.
This set of data would yield a result of 70 if a median imputer were run on it. In regression, we have some X values that are referred to as independent variables and some Y values that are referred to as dependent variables (this is the variable we are trying to predict). Several Y values are possible, but they are uncommon.
Learning a function that can predict Y given X is the fundamental concept behind a regression. Depending on the data, the function may be linear or non-linear.
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Complete question is:
Imagine X in the below is a missing value. If I were to run a median imputer on this set of data. What would the returned value be? 50 , 60 , 70 , 80 , 100 , 60 , 5000 , x (It's okay to have to look up how to do this!)
50
An error
80
70
100
The basic idea of a regression is very simple. We have some X values, we called these ______ and some Y value (this is the variable we are trying to _______.
We could have multiple Y values, but that is not but that is not re-ordered ordinals intercepts features numeric inputs.
Simplify this algebraic expression completely.
5y-3(y+2)
O A. 2y-1
OB. 2y-2
O c. 2y - 6
O D. 2y + 2
Answers
Answer:
The answer is c 2y - 6, your welcome
Answer:
the answer is C. 2y-6
Step-by-step explanation:
5y + -3y + -6
(5y + -3y) + -6
=2y +-6
FUNCTIONS HW HELP NEEDED
Answers
a) The equation for Bueller's height above the ground as a function of time is: h(t) = 9 cos(πt/8) + 1.5
b) When Bueller has been on the ride for 1 minute and 30 seconds, his height above the ground is approximately 10.5 m.
What is a function?In mathematics, a function is a rule that assigns a unique output value to each input value in a specified set. More precisely, a function is a set of ordered pairs (x, y) where each x-value (the input) corresponds to exactly one y-value (the output).
In mathematics, an equation is a statement that asserts the equality of two expressions, typically containing one or more variables. An equation consists of two sides, the left-hand side, and the right-hand side, separated by an equal sign (=).
According to the given information,
a) To determine an equation for Bueller's height above the ground as a function of time, we can use the equation for the height of a point on a Ferris wheel:
h(t) = r cos(ωt) + h0
where:
1) h(t) is the height of the point above the ground at time t
2) r is the radius of the Ferris wheel
3) ω is the angular velocity of the Ferris wheel (in radians per second)
4) t is the time elapsed since the point was at its lowest position
5) h0 is the initial height of the point above the ground
In this case, we know that Bueller boards the Ferris wheel at a height of 1.5 m off the ground, so h0 = 1.5 m. The radius of the Ferris wheel is 9 m, and it rotates once every 16 seconds, so the angular velocity is:
ω = 2π / T = 2π / 16 = π / 8 radians per second
Therefore, the equation for Bueller's height above the ground as a function of time is:
h(t) = 9 cos(πt/8) + 1.5
b) To find Bueller's height off the ground when he has been on the ride for 1 minute and 30 seconds (or 90 seconds), we can substitute t = 90 into the equation for h(t):
h(90) = 9 cos(π(90)/8) + 1.5
h(90) = 9 cos(11.25π) + 1.5
Using a calculator, we get:
h(90) ≈ -6.3 m
Note that the negative sign means that Bueller is below ground level, which is not physically possible. This occurs because we started counting time from the bottom of the wheel, so 90 seconds corresponds to the bottom position plus 5 and a half rotations. To fix this, we can add a multiple of the period T = 16 seconds to t to bring it back to the correct range:
h(t) = 9 cos(πt/8) + 1.5
h(90 + 5T/2) = 9 cos(π(90 + 5T/2)/8) + 1.5
h(90 + 5T/2) = 9 cos(π(2 + 5/16)) + 1.5
h(90 + 5T/2) ≈ 10.5 m
Therefore, when Bueller has been on the ride for 1 minute and 30 seconds, his height above the ground is approximately 10.5 m.
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10 lemons cost £1. 20 find the cost for 4
Answers
0.48p
Step-by-step explanation:
1.20÷10=0.12
0.12×4=0.48
put the wrong answer ignore this
Students at Sunnyvale Middle School volunteered to work a 2-hour shift at a
car wash fundraiser. The table shows the number of people who worked each
shift and how many cars they washed.
Is the relationship between the number of
cars washed and the number of workers
proportional? Complete the statement.
The number of cars washed per person
?
of workers, so the relationship is
the same for each number
?
People Working
4
6
8
10
Cars Washed
8
12
20
25
Answers
The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:
y = kx.
The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.
The ratios between the output and the inputs are given as follows:
8/4 = 2.12/6 = 2.20/8 = 2.5.25/10 = 2.5.Different ratios, hence the relationship is not proportional.
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The volume V, of a cylinder is V=pie times radius to the power of 2 h, where r is the radius of the cylinder and h is the height. Using rounding to the nearest whole number, which of the following is an estimate of the volume of a cylinder with a radius of 3.75 inches and height of 6.21 inches
Answers
Answer:
\(274\,\text{in}^3\)
Step-by-step explanation:
\(V=\pi r^2h=\pi(3.75)^2(6.21)\approx274\,\text{in}^3\)
When making bread from scratch, the recipe calls for 3/4 cup of water. If you need to make a smaller portion of the recipe, how much water would you need in order to make only 1/9th of the recipe?
Answers
Answer:0.67
Step-by-step explanation:
20+20 omg.please help :(
Answers
Answer:
40
Step-by-step explanation:
the equation of the line is what?
Answers
Answer: y-0=3/5(x-2)
Step-by-step explanation: Just plug the coordinates and slope into the formula y-y1=m(x-x1). m=3/5 because it is the slope value, and you can get y1=0, and x1=-2 from the coordinate values given.
John put $3, 000 in his savings at 2% annually for 3 years. What did he earn in simple interest?
Answers
Answer:
End Balance: $5,160.00
Total Interest: $2,160.00
Step-by-step explanation:
Total Interest =$3000 × 2% × 3 × 12
=$2,160.00
End Balance =$3000 + $2,160.00
=$5,160.00
Answer:
can we get the options
Step-by-step explanation:
5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer
Answers
Answer:
9000
Step-by-step explanation:
At an amusement park, 15 riders ride the race cars every 20 minutes and 35 riders ride the ferris wheel every 60 minutes. Which ride has the greater ratio of riders?
Answers
Answer: the Ferris Wheel
Step-by-step explanation:
The oak tree in Autumn's backyard is 13 1/3 feet tall. The pine tree in Autumn's backyard is 4 3/4 feet taller than the oak tree. How tall is the pine tree?
Answers
Answer:
18 1/2
Step-by-step explanation:
add 13 1/3 and 4 3/4
Can someone check this for me thanks.
Answers
Explain how you would solve the following system of equations using substitution. math step in your explanation, too!! This is the system that you should use: y= 4x -5 y = 3x -3
Answers
Answer:
\(x=2\\y=3\)
Step-by-step explanation:
Solve by substitution method
\(y=4x-5\\y=3x-3\)
First, solve \(y=4x-5\) for \(y\):
Substitute \(4x-5\) for \(y\) in \(y=3x-3\)
\(y=3x-3\)
\(4x-5=3x-3\)
\(4x-3x=5-3\)
\(x=2\)
Now that we have the value of x
substitute \(2\) for \(x\) in \(y=4x-5\)
\(y=4x-5\)
\(y=4(2)-5\)
\(y=8-5\)
\(y=3\)
∴ The value of \(x\) is \(2\) and the value of \(y\) is \(3\)
(help pls 25 points) To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining. Which equations could you use to find the price of one tire patch? Select all that apply. 4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9
Answers
Answer:
Step-by-step explanation:
4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9
Answer: c and E
Step-by-step explanation:
16 multiplied by -5/4
Answers
Answer:
-20
Step-by-step explanation:
Answer:
-20
Step-by-step explanation:
the 4 cancels or goes into 16 4 times and it multiply with-5 to get -20
can someone help me with this
Answers
Answer:
the answer is 2.5 which in not greater than 6 but less than 5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
Okay so, if we do the math 5 x 1/2 we get 2.5 right? Once we get 2.5 is that bigger or smaller. That would be smaller! So no the answer is not greater than 6, it is less than 5!
Hope this helps!
does anyone here know a guy named Connor this account on brainly starts with an r or w
Answers
Answer: are you ignoring me
Step-by-step explanation:
How often the line y=5 intersect the graph?
Answers
Check the picture below.
what is the formula for this seqyence 5,10,20,40,80
Answers
Answer:
2x
Step-by-step explanation:
5, 10, 20, 40, 80
each step is multiplying by 2, therefore the sequence is 2x
Please someone help me. i really dont get this. If you help i give 40 POINTS Please help me
Answers
Answer:
Only Carla's
Step-by-step explanation:
I believe the answer is only Carla's because even though the left side is factored, there is still an 8 on the right side. To apply the zero product property rule, the equation needs to equal 0
Meanwhile Carla's works because then the equation would be x²=9 which we can easily take the square root of
Answer: Only Carla
Step-by-step explanation:
Only Carla
Carla said:
(x+1)(x-1)=8 FOIL
x²-1=8
x²=9
x=±3
Jordan said:
He will use 0 property rule but the factored portion must =0 It equals 8, so you can't use that property.
Jess wants to measure how much water she uses in the shower each morning. She finds
that her shower fills up a 1-gallon jug in 15 seconds. If Jess takes an 8-minute shower,
how much water does she use?
Answers
Answer:
32 gallons of water
Step-by-step explanation:
8 minutes = 480 seconds.
set up a proportion:
1/15=x/480
we have to solve for x:
15x=480
x=32.
Jess uses 32 gallons of water.
I hope this helps