Answer:
5 hours and 48 minutes
Step-by-step explanation:
The equation for finding average speed is: [tex]\frac{\text{Total Distance}}{\text{Total Time}}[/tex]
Let x represent the distance for both the journey from Riley's college to home and back. We can use one variable to represent this because both distances are the same.
We also know that the total round trip took 12 hours. Let y represent the time it took for Riley to drive from college to home. Therefore the time it takes for Riley to drive from home to college is 12 - y.
Using this information, we can set up a system of equations.
Setting up a System of Equations[tex]65.1=\frac{x}{y}\\\\69.6=\frac{x}{12-y}[/tex]
Multiply both sides of the first equation by "y" and both sides of the second equation by "12 - y".
[tex]65.1y=x\\\\835.2-69.6y=x[/tex]
Since both 65.1y and 835.2-69.6y are equivalent to x, we can set them equal to each other.
[tex]65.1y=835.2-69.6y[/tex]
Now, we have to solve the equation for time or "y".
Solving for Time[tex]65.1y=835.2-69.6y[/tex]
Add 69.6y to both sides
[tex]65.1y+69.6y=835.2[/tex]
[tex]134.7y=835.2[/tex]
Divide both sides by 134.7
[tex]y\approx6.2 $ hours = Six hours Twelve Minutes[/tex]
This is the time it took for Riley to drive from college to home, therefore the time it took for Riley to drive from home back to college is:
[tex]12-6.2=5.8=5$ hours and 48 minutes[/tex]
5 hours and 48 minutes
What is the value of c in the equation below?
Answer:
1/4
Step-by-step explanation:
[tex]x^y \ctimes x^z = x^{y + z}[/tex]
[tex]2^{-4} \cdot 2^2 = 2^{-4 + 2} = 2^{-2} = \frac{1}{2^2} = \frac{1}{4}[/tex]
what is the HCF of 225 495 and 810
Step-by-step explanation:
Factor of 225
= 3 × 3 × 5 × 5
Factor of 495
= 3 × 3 × 5 × 11
Factor of 810
= 3 × 3 × 3 × 3 × 2 × 5
Now ,
HCF = Common Factor
= 3 × 3 × 5
= 45
[tex]...[/tex]
☘️☘️☘️...
ming
What is the value of the expression (54+3³) ?
33
Answer:
Submit Answer
OL
C
ƒ(x) = −3x² + 3x
Find f (8)
Answer:
-168
Step-by-step explanation:
-3(8)^2+(3)(8)
(-3)(64)+(24)
-192+24
-168
The table below shows the frequency distribution of the rainfall on 52 consecutive saturdays in a certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal?
Looking at the histogram in C(3rd) we know that it is not symmetric. We can not(can’t) say that it is approximately normal. Hence, C is the correct answer.
What is a histogram?
A histogram is a graph that shows the frequency of numerical data using blocks. The height of a cube( the perpendicular axis) represents the distribution frequency of a variable( the quantum, or how frequently that variable appears). A histogram is a graphical display of data using bars of different heights. In a histogram, each bar groups figures into ranges. high bars show that further data falls in that range. A histogram displays the shape and spread of nonstop sample data. Histograms fantasize quantitative data or numerical data, whereas bar maps display categorical variables.From the frequency table, we get the frequency of the first class is 20(twenty), and for the second(2) class it is 10(ten) also the remaining frequencies are correctly shown by the histogram shown in option C.
Hence, C is the correct(right) answer.
Looking at the histogram in C(3rd) we know that it is not symmetric. Hence we can not(can’t) say that it is approximately normal.
Hence C. No it is not symmetric is the correct(right) answer.
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Find the value of x.
(6x - 35)°
(3x + 7)°
Answer:
x = 14
Step-by-step explanation:
These are corresponding angles, so the angles are equal to each other.
6x - 35 = 3x + 7
3x - 35 = 7
3x = 42
x = 14
Fill in all missing terms and select all missing descriptions.
Answer:
Add all like terms
12s = 0
s = 0
Step-by-step explanation:
8s + 6 + 4s = 6
12s + 6 = 6
-6 -6
12s = 0
÷12 ÷12
s = 0
I hope this helps!
Graph the following figure in the coordinate plane. Find the perimeter. X(0,1), Y(4, -2), Z(-5, -2)
The perimeter of the figure is 8 + √14 units
How to graph the figure in the coordinate plane and find the perimeter?The coordinates are given as
X(0,1), Y(4, -2), Z(-5, -2)
Next, we plot the above coordinates on a coordinate plane
See attachment for the plot of the coordinates on a coordinate plane
Next, we calculate the distance between the points using
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have
XY = √(0 - 4)^2 + (1 + 2)^2 = 5
XZ = √(0 + 5)^2 + (1 + 2)^2 = √14
YZ = √(4 + 5)^2 + (-2 + 2)^2 = 3
The perimeter is calculated as
P = XY + XZ + YZ
So, we have
P = 5 + √14 + 3
Evaluate
P = 8 + √14
Hence, the perimeter of the figure is 8 + √14 units
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One person has 1700 more than another person .Between then,they have a total of 10500. How much does each person have?
Answer:
One person will have 6100 and the other will have 4400.
Step-by-step explanation:
10500/2 = 5250
1700/2 = 850
5250+850 = 6100
10500-6100 = 4400
Check Answer:
6100+4400 = 10500
6100-4400 = 1700
I dont understand the problem i think it's 4.5 but i dont know
Answer:
probably 4.5
"Step-by-step explanation:
To break even, we need the total profit to be equal to 0. If we make x dollars in 2012, then we need to solve
2.5 + 1.75 + (-3.3) + (-1.4) + x = 0
This gives us x = 0.45 in thousands.
Since the question asks us to give the answer in hundreds, we multiply by 10 and get 4.5. Thus the profit in 2012 must be 4.5 (in hundreds) to break even."
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Simplify using order of operations. Show all of your work and do ONE operation at a time to receive all possible points. 90 ÷ [ 10 + ( 3 2 − 4 ) ]
2.368
Given expression is
90 ÷ [ 10 + ( 3 2 − 4 ) ]
According to BODMAS rule we simplify this expression
The order of operations consist of evaluate the parenthesis, then the exponents, the multiplication, the division, and as last the addition and subtraction.
90 ÷ [ 10 + ( 3 2 − 4 ) ]= 90 ÷ [ 10 + 28 ]
= 90 ÷ [ 38]
= 90 ÷38
= 2.368
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I just need that one answer please
Answer:50.5
Step-by-step explanation:
because if you put the numbers from the smallest to largest in a line and take the middle numbers and divide by 2 you get 50.5.
5.
Audrey gives each of her 6 closest friends a $20 gift card to their favorite store alono
with a small amount of cash during the holiday season. She spends the same amount of
money on each of her friends. If she spends $360 each year on holiday gifts for her
6 closest friends, how much cash does she give each friend?
1.
Define the variable.
3. Solve the equation.
Date
Period,
2. Write an equation that can be used to answer the question.
Explain the meaning of the solution.
Does the solution make sense for the problem? Why or why not?
Answer:
She gives 40 dollars to each friend.
The variable that you are trying to find is the amount of cash she gives to each friend. In the below equation, I call it x.
The equation is x = (360/6) - 20.
Step-by-step explanation:
1. Let the variable be x be the amount of cash Audrey gives to each friend.
2. The equation is 6x + 20 = 360.
3. The solutions is x = 57.
4. Audrey gives each friend $57 in cash along with a $20 gift card to their favorite store during the holiday season.
5. The solution does not entirely make sense for the problem because we cannot give fractional amounts of cash.
The solution should be rounded to the nearest dollar, making it $57 per friend.
We have,
1.
Let's define the variable "x" as the amount of cash Audrey gives to each of her 6 closest friends.
2.
Since Audrey spends the same amount of money on each friend, the equation can be written as:
6x + 20 = 360
3.
Solve the equation:
Subtract 20 from both sides to isolate the term with "x":
6x = 360 - 20
6x = 340
Now, divide both sides by 6 to solve for "x":
x = 340 / 6
x = 56.67 (rounded to two decimal places)
4.
The solution, x = 56.67, means that Audrey gives each of her 6 closest friends approximately $56.67 in cash along with a $20 gift card to their favorite store during the holiday season.
5.
The solution does not entirely make sense for the problem because we cannot give fractional amounts of cash.
In real-life situations, the cash given should be a whole dollar amount, not a fractional value like 56.67.
Therefore, the solution should be rounded to the nearest dollar, making it $57 per friend.
Thus,
1. Let the variable be x be the amount of cash Audrey gives to each friend.
2. The equation is 6x + 20 = 360.
3. The solutions is x = 57.
4. Audrey gives each friend $57 in cash along with a $20 gift card to their favorite store during the holiday season.
5. The solution does not entirely make sense for the problem because we cannot give fractional amounts of cash.
The solution should be rounded to the nearest dollar, making it $57 per friend.
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Karen spent $7.80 on a pair of stockings. She spent 3/8
on a skirt and a blouse; after which, half of her money was left. The skirt cost 8 times as much as the blouse. How much did she spend on the skirt?
Step-by-step explanation:
First 7.50 - 3/8 = 7.125
Next 7.125 times 8
Is 57
a 3 gallon bottle of bleach costs 15.84. what is the price per cup
Answer: $0.33 per cup
15.84/3 to find the price per 1 gallon.
15.84/3 = 5.28 per gallon
There are 16 cups in a gallon, so divide the price of a single gallon by 16.
5.28/16 = price per cup
5.28/16 = .33
The price for each cup of bleach is $0.33.
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Please solve. NO EXPLAINATION NEEDED. I NEED ANSWER FAST
Answer:
11 and 22
Step-by-step explanation:
We can say that BC=2AC.
Since AB=33, AC=11 and BC=22.
Ashley is the oldest of four siblings whose ages are consecutive even integers. If the sum of their ages is 100, find Ashley's age.
Answer:
Ashleys age is 28.
Step-by-step explanation:
When finding numbers that are consecutive, I like to divide the sum in this case, 100 by the number of people or things, in this case, the 4 siblings. The sum is 100 and there are 4 of them so we divide them first.
100÷4=25 so our answer must be around there. The question states that the ages must be even. So the even numbers in the range of lets say 20-30 are 20, 22, 24, 26, 28 and 30. Closest four numbers to 25 are 22, 24, 26 and 28. We must have two numbers below 25 and two numbers above 25. So we will keep 22,24,26 and 28. If you add them together, then you'll get 100! Since we are looking for Ashley's age which is the oldest, her age will be 28 as 28 is the highest number out the four numbers (22,24,26,28)
Good Luck and hope this helped! <33
7x + 3x + x⁴ divided by x-2
Answer:
10x + x^4/x-2
Step-by-step explanation:
Combine like terms
(10x + x^4)/(x-2)
a survey of 800 households revealed that 400 had only a TV, 100 had only a computer, and 100 had neither a tv nor a computer. how many households have both a tv and a computer?
The number of households which have both TV and computers are 200.
What is defined as the Boolean algebra (logical expressions)?Boolean algebra is a branch of algebra in math and mathematical logic where the value of the variables are indeed the truth values both true and false, typically represented 1 and 0, respectively.Synonyms, such as 'Yes' for 'True' as well as 'No' for 'False,' are sometimes used to represent the statement.Let A be the number of house hold having only TV = 400
Let B be the number of house hold having only computers = 100
Let C be the number of house hold having neither TV nor computer = 100
Let D be the number of house hold having both TV and computer.
Then, the number number of house holds are 800.
A + B + C + D = 800
Put the values;
400 + 100 + 100 + D = 800
D = 800 - 600
D = 200
Therefore, the number of households having both TV and computer are 200.
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A group of exchange students from Japan went to a convalescent home to sing songs for the seniors and to demonstrate origami. Groups of students and seniors sat together at tables so the students could teach the seniors to fold some origami figures. As it turned out, at each table there was either 1 student and 3 seniors, or 2 students and 4 seniors. There were 23 students and 61 seniors in all. How many tables were being used?
Answer:
19 tables
Step-by-step explanation:
Let X represent the number of tables that have 1 student and 3 seniors
Let Y represent the number of tables that have 2 student2 and 4 seniors
Therefore number students total
1X + 2Y =23 (1)
Number of seniors total
3X + 4Y = 61 (2)
Multiply equation (1) by 2 giving
2X + 4Y = 46 (3)
Subtract (3) from (2)
3X + 4Y - (2X+4y) = 61-46
3X + 4Y - 2X -4Y = 15
3X-2X = 15
X = 15
Plugging this value into equation (1) gives
1(15) + 2Y = 23
15 + 2Y = 23
Subtract 15 from both sides
2Y = 23 - 15
2Y = 8
Divide by 2 both sides
Y = 4
Thus total number of tables used = X +Y = 15+4 = 19
What are Conic Sections and how are they formed?
Answer:
In mathematics, a conic section is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though historically it was sometimes called a fourth type.
Conic sections are formed on a plane when that plane slices through the edge of one or both of a pair of right circular cones stacked tip to tip.
Solve 1-2x - 1 = -10.
O A.x=9
O B.x = 5
O C. No solution
OD.x = -9
Given the function that g(x) = 2x² − 5x + 1, find each of the following.
-
a) g(0)
b) g(-2)
c) g(4)
d) g(-x)
e) g(1 – t)
Step-by-step explanation:
g(x) = 2x² − 5x + 1
a) g(0)
g(0)=2[tex](0)^{2}[/tex]-5(0)+1
=1
b) g(-2)
g(2)=2[tex](-2)^{2}[/tex]-5(-2)+1
=8+10+1
=19
c) g(4)
g(4)=2[tex](4)^{2}[/tex]-5(4)+1
=32-20+1
=11
d) g(-x)
g(x) = 2x² − 5x + 1
g(-x)=2[tex](-x)^{2}[/tex]-5(-x)+1
=2[tex]x^{2}[/tex]+5x+1
e) g(1 – t)
g(x) = 2x² − 5x + 1
g(1-t)=2[tex](1-t)^{2}[/tex]-5(1-t)+1
=2[tex]t^{2}[/tex]+t-2
Please help me redo this vin diagram. I will give a Brainly and extra pouts.
Answer:
so the answer goes as stated in the picture my advice is to always work from the middle then subtract outwards
Step-by-step explanation:
Whats 150 x 2 divided by 2?
Answer:
150 ?
Step-by-step explanation:
150*2 = 300 / 2 = 150
Answer:
the answer is 150
Step-by-step explanation:
150×2÷2
150×1
150
Pls answer report if bad answer
Answer:
18
Step-by-step explanation:
24 x 3/4 = 18.
Would like help with this?
The largest interval in which the function is continuous is given by:
(-∞, -3).
What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
A function is also not continuous for the values of x which are outside the domain of the function, hence a fraction is not continuous at the zeroes of the denominator.
In this problem, the zeroes of the denominator of the function are:
x = -3, x = 4.
Hence the continuity intervals are:
(-∞, -3).(3,4).(4,∞).The largest one is the first, as |-3| < |4|, meaning that it is a larger distance from infinity.
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When a constant force acts upon an object, the acceleration of the object varies Inversely with its mass. When a certain constant force acts upon an object with
mass 7 kg, the acceleration of the object is 10 m/s². If the same force acts upon another object whose mass is 5 kg, what is this object's acceleration?
The acceleration of the object is found as 14 m/s².
What is defined as the Newton's second law of motion?Newton's second law states that acceleration of an object is determined by two variables: the net force acting on it and its mass.
The acceleration of the body is proportional to the net force exerting on it and inversely proportional to its mass. This implies that as the force that acts on an object increases, so does the object's acceleration. Similarly, as an object's mass increases, the object's acceleration decreases.The formula for the Newton's second law is;
F = ma
F = acting force in Newton
m = mass of the body in Kg.
a is the acceleration in m/s².
The mass of 7 kg accelerates with 10m/s².
Force acting on it is;
F = ma
F = 7×10
F = 10 N.
The same force is acting on the body of mass 5 kg.
F = ma
a = F/m
a = 70/5
a = 14 m/s².
Therefore, the acceleration of the body is found as 14 m/s².
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You can buy 5 t-shirts at Baxters for the same price that you can buy 4 t-shirts at bixbys. If one t-shirt costs $11.80 at bixbys, how much does one t-shirt cost at baxters?
Answer:
4
shirts at Bixby's costing
$
11.50
would cost
XXX
4
×
$
11.50
=
$
46
If
5
shirts at Baxter's cost the same as
4
shirts at Bixby's,
5
shirts at Baxter's would cost
$
46
and
1
shirt at Baxter's would cost
$
46
5
=
$
9.20
Which author would agree with the opinions below?
Answer:
athour of text 2 for the first Q
athour of text 1 for the second Q
athour of text 2 for the third Q