At the same time, Sam and Fred who are 168 miles apart begin moving toward each other. Find the number of hours before they meet if Sam runs 12 mph and Fred runs 9 mph.
Answers
Answer: 8 hours
Step-by-step explanation:
Let x be the time before they meet ( in hours)
Speed of Sam = 12 mph
Sped of Fred = 9 mph
Distance = Speed × time
Distance covered by Sam in x hours = 12x
Distance covered by Fred in x hours = 9x
(Distance) (rate1) (time1) (rate2) (time2)
Total distance between them: 168 = 12 x + 9 x
[tex]\Rightarrow\ 168= 21x\\\\\Rightarrow\ x=\dfrac{168}{21}=8[/tex]
Hence, the number of hours before they meet if Sam runs 12 mph and Fred runs 9 mph. = 8
Related Questions
What is the range of the function shown in the graph below? answer type: interval, all real values except one, all real values except two, all real numbers
Interval:
Answers
The Range of f(x) → Range ∈ [- 4, ∞).
We have a graph of a function f(x) given.
We have to determine the range of f(x).
What is Domain and Range of any function?The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
According to the question -
We can see that the function is defined for all values of x (assuming that the graph will continue after the arrows at the top). Hence, the domain of f(x) will be set of all real numbers.
Now, the graph curves back after reaching a minimum value of -4. Therefore, the set of all possible values f(x) takes belongs to the set
[-4, ∞).
Hence, the Range of f(x) → Range ∈ [- 4, ∞)
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A vending machine accepted any combination of nickels, dimes, and quarters that added to $0.40. How many different combinations of coins were possible?
Answers
Answer: 1 quarter, 1 dime and 1 nickel.
Step-by-step explanation:
Quarter: 25 cents.
Dime: 10 cents
Nickel: 5 cents
25 + 10 = 35
35 + 5 = 40
Answer: 25 (1 quarter), 10 (1 dime), 5 (1 nickel) is 0.40 cents when all three numbers are summed up.
Which temperature during the week is the closest to 0? Explain how you decided this using absolute value.
Which temperature during the week is farthest from 0? Explain how you decided this using absolute value.
Which is the coldest temperature? Explain how you determined this using the number line.
Which is the warmest temperature? Explain how you determined this using the number line.
Part 2: Weather Report
Use the information from the analysis and develop a weather report. You can develop a flyer or make a presentation, video or audio recording of yourself, or script. Use your creativity! Make sure to include the information from all six questions.
Answers
we need a picture of the weather data
does the following table shows a proportional relationship between the variables g & h
Answers
*the table being referred to is attached below
Answer:
The table does not show a proportional relationship between variable g and h.
Step-by-step explanation:
For a proportional relationship to exist between two variables, there must be a constant, of which serves like a unit rate, when comparing two variables.
Thus, in the table attached below, there is no obvious constant of proportionality between variable g and variable h.
Thus, [tex] \frac{9}{3} [/tex] ≠ [tex] \frac{36}{6} [/tex] ≠ [tex] \frac{81}{9} [/tex]
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By = C.
(-4,7), (-5,-2)
Choose the equation of the line in the form Ax + By = C.
Answers
Answer:
-9x + y = 43
Step-by-step explanation:
We can put the equation into y = mx + b form first, then change it to Ax + By = C
First, we can find the slope by doing rise/run (y2 - y1) / (x2 - x1)
(-2 - 7) / (-5 + 4)
-9/-1 = 9
We can put this into the equation y = mx + b, along with another point, to find b:
y = mx + b
7 = 9(-4) + b
7 = -36 + b
43 = b
Now, we know the equation will be y = 9x + 43, and we can rearrange this:
Subtract 9x from both sides:
-9x + y = 43 will be the equation of the line
The volume of a sphere is [tex]\frac{1}{162} \pi[/tex] cubic meters. What is the length of the sphere’s radius? In your final answer, include all of your calculations.
Answers
Answer:
The radius is 1/6 m
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
1/162 * pi = 4/3 pi r^3
Divide each side by pi
1/162 = 4/3 r^3
Multiply each side by 3/4
3/4 *1/162 =3/4* 4/3 r^3
1/216 = r^3
Take the cube root of each side
(1/216)^ 1/3 = (r^3)^1/3
1/6 = r
The radius is 1/6 m
John and Maria want to repaint one of their living room walls, which is 20 feet long by 15 feet
wide. Each quart of paint covers 100 square feet. How many quarts do you suggest they purchase?
(Section 10.7) (1 point)
Answers
Answer:
3 quarts.
Step-by-step explanation:
The wall is 20 feet by 15 feet. That means the area of the wall is 20 * 15 = 300 feet squared. Since one quart of paint covers 100 square feet, they will need to purchase 300 / 100 = 3 quarts of paint.
Hope this helps!
If two 6-sided dice are rolled, what is the
probability of rolling double 2s?
Answers
16.7%
There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice.
Answer:
The answer is 16.7%
Step-by-step explanation:
There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice. hope this helped
Solve for x: x - 15 = -30
Answers
Answer:
x = -15
Step-by-step explanation:
x - 15 = -30
add 15 to both sides
x = -15
add 15 to both sides
You and your mom enter a drawing with 3 different prizes a total of 9 people enter
Answers
Answer:
the probability if that is what you are asking for is 1/3 of winning a prize
Step-by-step explanation:
Answer:
1/3 chance per each person of winning a prize
Step-by-step explanation:
Plz answer I’ll mark brainliest
Answers
Answer: B
Step-by-step explanation:
Any inscribed quadrilateral (quadrilateral in a circle) has opposite angles that add up to 180 degrees.
So looking at he picture we can see that, (x+16) + (6x-4) = 180.
So your answer is B.
Answer:
Hey There!! The answer to this is B: angle P + angle R = 180
angle O + angle Q = 180
Here, they are only interested in R, therefore the first equation will be enough to solve for R.
angle P + angle R = 180
y + (3y + 8) = 180
We need to solve for y, so put that y value in (3y + 8) to find angle R.
y + (3y + 8) = 180
y + 3y + 8 = 180
We add the y terms: 4y + 8 = 180
Subtract 8 from both sides: 4y = 180-8 = 172
Divide both sides by 4
y = 172/4 = 43
Angle R = 3y + 8
Put y = 43 and calculate R.
R = 3(43) + 8
R = 137
Therefore, the measure of angle R is B:
Hope It Helped!~ ♡
ItsNobody~ ☆
Which side of the quadrilateral ABCD has a length equal to 10? Question 5 options: Which side of the quadrilateral ABCD has a length equal to 10? Question 5 options: A. BC B. DA C. BA D. CD
Answers
Answer:
Side DA
Step-by-step explanation:
The point A has coordinates of (-2,6) and the point D has coordinates of (-2,-4). Since both points have the same x-coordinate, we can subtract point A's y-coordinate from point D's y-coordinate.
6 - ( -4) = 10 (Basically adding 4 to six since the 2 minus signs make a plus sign)
That's your answer!
Hope that helps and maybe earns a brainliest!
Have a great day! :)
The side of the quadrilateral ABCD has a length equal to 10 is AD.
What is distance?Distance is the amount of space between two points. The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:
[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
The coordinate of vertex A = (-2, 6) while for D is D(-2, -4). Hence:
[tex]AD=\sqrt{(-4-6)^2+(-2-(-2))^2}=10\ units[/tex]
The side of the quadrilateral ABCD has a length equal to 10 is AD.
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Hi, can anyone please help me come up with 7 maths questions that have the answer 10. It would be great if these questions were on the 8th grade level. Plz help fast.
Answers
Answer:
-2+12=10
-10+20=10
1+9=10
9+1=10
8-(-2)=10
2-(-8)=10
-30+40=10
Step-by-step explanation:
3+7=10
6+4=10
5+5=10
1+9=10
10+0=10
(-8)-2=10
Sally invested some money at 15 % interest. Sally also invested $172 more than 3 times that amount at
14%. How much is invested at each rate if Sally receives $1398.35 in interest after one year? (Round to
two decimal places if necessary.)
Answers
Answer:
Amount at 15%=$2,411
Amount at 14%=$7,405
Step-by-step explanation:
let
x= the amount at 15% rate.
y=amount at 14% rate
y= x times 3 plus $172
y= 3x + $172 (1)
x times 15% plus y times 14% equals a return of $1,398.35 after one year
0.15x + 0.14y= $1,398.35 (2)
Recall,
y= 3x + $172
Substitute (1) into (2)
0.15x + 0.14y= $1,398.35
0.15x + 0.14(3x+172)=1398.35
0.15x + 0.42x + 24.08=1398.35
Collect like terms
0.15x + 0.42x=1398.35 - 24.08
0.57x=1374.27
Divide both sides by 0.57
x=2,411
x=$2,411
Find y
y= 3x + $172
=3(2,411) + 172
=7,233+172
=7,405
y=$7,405
Amount at 15%=$2,411
Amount at 14%=$7,405
Check:
$2,411*0.15=$361.65
$7,405*0.14=$1036.70
Total=$361.65 + $1036.70
=$1,398.35
Plz help I’ll mark brainliest
Answers
Answer:
Step-by-step explanation:
Using Pythagoras Theorem, hypotenuse = 5
[tex]h = \sqrt{a^{2}+ b^{2}[/tex]
[tex]h = \sqrt{9+16 }\ = \sqrt{25}\ = 5[/tex]
sin x = height / hypotenuse = 3 / 5
cos y = base / hypotenuse = 3 / 5
sin x = cos y = 3 / 5
Teresita worked part-time for 2 weeks in a pharmacy. During the second week, she worked 13 times the
number of hours that she worked during the first week. If she worked a total of 25 hours during the 2-week
period, how many hours did Teresita work during the second week?
1.8
2.10
3.12
4.15
Answers
Option 4 is correct, Teresita worked 15 hours during the second week.
Given that Teresita worked [tex]1\frac{1}{2}[/tex] times the number of hours during the second week.
Therefore, she worked 1.5x hours during the second week.
The total number of hours she worked during the two weeks is given as 25.
So we can set up the equation:
x + 1.5x = 25
Combining like terms, we have:
2.5x = 25
Dividing both sides of the equation by 2.5, we get:
x = 25/2.5
x = 10
Therefore, Teresita worked 10 hours during the first week.
To find the number of hours she worked during the second week, we can substitute this value back into the equation:
1.5x = 1.5 × 10
= 15
Therefore, Teresita worked 15 hours during the second week.
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determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. 3x-4y=-5 8x+6y=-5 show full work please and thank you
Answers
4y = 3x + 5
y = (3/4)x + 5/4
8x + 6y = -5
6y = -8x - 5
y = -(8/6)x - 5/6
y = -(4/3)x - 5/6
Because the slopes are negative reciprocals, the lines are perpendicular.
Drag each object to show whether distance is proportional to time in the situation represented.
Answers
Answer: please find the answer in the explanation.
Step-by-step explanation:
1.) The distance is not proportional to time. Because the distance was constant from time = 3 seconds to 10 seconds.
2.) A person running down a field to score a touchdown. Not enough information.
3. A dog jogging at a constant speed for 20 minute. The distance is proportional to time because of the constant speed.
4.) The distance is proportional to time because their is increase in distance covered and increase in time taken.
5.) A truck passing through the 4 cities at a constant speed. The distance is proportional to time because the speed is constant.
6.) A horse running around a race track. Distance is not proportional to time because this is not a linear motion.
Describe the end behavior of the graph of f(x) = x^3 (x + 3)(-5x + 1) using limits.
Answers
Answer: Rises to the left and falls to the right
Step-by-step explanation:
Use the degree and the leading coefficient to determine the behavior.
There is a good video called "Describing End Behavior Using Limit Notation" by Mario's Math Tutoring, and it helps to show you how to find the end behavior with limits.
Mathematics, probability and chance Can somebody help me, I always thank and vote
Answers
T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was
released. The average rate of change in Td) for the interval d = 4 and d = 10 is 0. Which statement must be true?
O The same number of tickets was sold on the fourth day and tenth day.
O No tickets were sold on the fourth day and tenth day.
O Fewer tickets were sold on the fourth day than on the tenth day.
O More tickets were sold on the fourth day than on the tenth day.
Answers
Answer: The same number of tickets was sold on the fourth day and tenth day.
Step-by-step explanation:
Given, T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.
The average rate of change in a function with respect to the independent variable gives the value of change in a particular period.
If average rate of change in T(d) for the interval d = 4 and d = 10 is is 0 , that means nothing has been changed in the number of tickets sold on 4th day and 10th day after the film release.
Hence, the correct statement is "The same number of tickets was sold on the fourth day and tenth day."
The correct option is (A).The same number of tickets was sold on the fourth day and tenth day.
Given,
T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.
The Average rate of change in T(d) for the interval d = 4 and d = 10 is 0.
We have to find which statement is true.
Since the average rate of change in T(d) for the interval d = 4 and d = 10 is 0, it means nothing has been changed in the number of tickets sold on day 4 and day 10 after the film release.
Hence, the correct statement is The same number of tickets was sold on the fourth day and tenth day.
Thus The correct option is A.
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What is the value of x that makes L1 || L2? please help!! A. 18 B. 12 C. 10 D. 6
Answers
Answer:
x = 18
Step-by-step explanation:
Because the 2 lines are parallel we can use same side interior theorem to find x
This would mean the equation is 6x + 30 + 2x + 6 = 180
When you solve that this would be 18
Answer:
x = 18
Step-by-step explanation:
→ Utilise the fact that interior angles add up to 180
6x + 30 + 2x + 6 = 180
→ Simplify
8x + 36 = 180
→ Minus 36 from both sides to isolate 8x
8x = 144
→ Divide both sides by 8 to isolate x
x = 18
A basketball is shot into the air. Its height is represented by the polynomial equation
h(t) = -16+ + 35t + 5, where h is the height of the basketball at t seconds. What's
the height of the basketball at 1.5 seconds?
18.8 feet
21.5 feet
16.7 feet
1
20.2 feet
Answers
Answer:
21.5
Step-by-step explanation:
h(t) = -16t^2 + 35t + 5,
Let t = 1.5
h(1.5) = -16 (1.5)^2 + 35(1.5) + 5
=-16 *2.25 +52.5+5
= -36+57.5
= 21.5
In the figure below MNOP is a parallelogram. Which of the following statements can be used to
explain why the shaded triangles are congruent?
Answers
Answer:
ΔNXO is the result of reflecting ΔPXM across a line parallel to line MP and through point X.ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.Step-by-step explanation:
According to the choices given, only statements 1 and 3 are correct!
The true statement about the shaded triangles is; ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.
How to solve congruency problems?The correct statement about the shaded triangles to explain the congruency is;
ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.
This is because when we rotate ΔPXM 180° clockwise about point X, the corresponding parts of both triangles will be congruent based on Congruency proofs.
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Which table shows a proportional relationship between a and b?
ОА.
b
3
9
4
12
5
20
B.
Qu
b
20
25
24
30
32
40
ОС.
a
b
4
12
un
15
6
24
D.
a
b
Answers
Answer: A, B and, C are incorrect, what is D?
Step-by-step explanation:
Select the correct answer.
Simplify.
V96
Answers
Answer:
[tex]4 \sqrt{6}[/tex]
Step-by-step explanation:
The question is not properly presented and has mission options; however, the solution is as follows
Given
[tex]\sqrt{96}[/tex]
Required
Simplify
[tex]\sqrt{96}[/tex]
Start by expanding
[tex]\sqrt{16 * 6}[/tex]
The expression can be split to:
[tex]\sqrt{16} * \sqrt{6}[/tex]
Take positive square root of 16
[tex]4 * \sqrt{6}[/tex]
[tex]4 \sqrt{6}[/tex]
The expression cannot be further simplified
4(3r+2)-3r= -10? need help thanks
Answers
Answer: -2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
What is the area of a regular hexagon with perimeter 24? A) 8sqrt3 B) 12sqrt3 C) 16sqrt3 D) 24sqrt3
Answers
Answer: C) 16
Step-by-step explanation:
A Hexagon has 6 Sides and Since the perimeter is 24, each side has a length of 4.
4 * 4 = 16
Please help me on this question
Answers
Answer:
The area can be expressed as: [tex]\pi r^2+lw[/tex].
We have l=10, because 18-2(4)
We have w=8, as given.
Thus, the rectangle area is 80.
There are two semicircles, but they add to form a full circle, which makes things a lot easier. We have the circle area formula, and substituting the values gives us 50.24 as the circle volume
80+50.24=130.24.
Rounded to 1 decimal place that is 130.2
Hope this helps :)
If a triangle has two of its shorter sides measuring 7 and 12, what is a possible length of the longest side of the triangle to make it acute?
Answers
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
