Solution:
Given that,
At 10 a.m., Hillary left City A and drove at an average speed of 120 km/h
Charlene drove at an average speed of 144 km/h and took 50 minutes.
She arrived at City B at the same time as Hillary
Their distance is same
Find the ratio of speed
120 : 144
Reduce to lowest term
Hillary : charlne = 5 : 6
Find the ratio of time:
Since, speed and time are inversely propotional
Hillary : charlne = 6 : 5
Let time taken by Hiliary be 6t
Let time taken by charlene be 5t
Given that, Charlene took 50 minutes
Therefore,
5t = 50
t = 10
Thus,
time taken by Hiliary = 6t = 6(10) = 60
Thus hiliary took 60 minutes to reach
Find the time Charlene left City A
At 10 a.m., Hillary left City A
Difference between both their time = 60 - 50 = 10 minutes
Thus, Hilairy left city A = 10 am + 10 minutes = 10 : 10 a.m
Thus, Hillary left city A at 10: 10 AM
Please answer ASAP. If you do I will post a new question and will give you more points.
Answer:
volume of cube = side × side × side
Step-by-step explanation:
1120 × volume of one cube
1120× (1/8)
1120/8
= 140 units
Hope it helps you
Thanks
The point (4,5) is translated two units down. What is the y-coordinate of the image?
Answer:
(4,3), y-coordinate is 3
Step-by-step explanation:
If we're translating down, that means we are subtracting however many units we go down by the y-coordinate.
So 5-2=3, and the new y-coordinate is 3
Answer is (4,3)
Step-by-step explanation:
So you need to this...
(x), (y-2)
Now you need to leave the x because It won't do nothing but the y yes because it said bring 2 units down so its (y-2) because its going negative. Now subtract the number you have given.
Now replace y with 5 and subtract 2.
Now you will be given the answer (4,3)
Hope this helps you :)
Liszt had test scores of : 72, 94, 108, 60
what is the range for her test scores
Answer: 48
Step-by-step explanation: The range is the difference between the greatest number in the data set and the least number in the data set which in this case is 108 - 60 or 48. So the range of this data set is 48.
Owen and Jesse go to a restaurant for breakfast. a 7%sales tax is applied to their $21.60 bill.
if Owen and Jesse add a 15% tip after the tip is applied what is the total cost Including tip
The total cost is about $26.58
The total cost including the sales tax and the tip is approximately $26.58.
The total cost including the sales tax and the tip is calculated as follows:
First, calculate the sales tax by multiplying the bill amount by the sales tax rate:
Sales tax = $21.60 × 7% = $21.60 × 0.07 = $1.512.
Add the sales tax to the original bill to get the total after sales tax:
Total after sales tax = $21.60 + $1.512 = $23.112.
Next, calculate the tip by multiplying the total after sales tax by the tip rate:
Tip = $23.112 × 15% = $23.112 × 0.15 = $3.4668.
Finally, add the tip to the total after sales tax to get the final total cost:
Total cost including tip = $23.112 + $3.4668 = $26.58 (rounded to the nearest cent).
A parachutist's speed during a free fall reaches 70 meters per second. What is this speed in feet per second? At this speed, how many feet will the parachutist fall during 20 seconds of free fall? In your computations, assume that 1meter is equal to 3.3 feet
Speed is 231 ft/s.
Distance is 4620 ft.
Solution:
First we have to convert the unit of speed from m/s to ft/ s.
Then for 20 seconds, we have to calculate the feet covered by the parachute.
[tex]1 meter $=3.3$ feet\\\\$\frac{70 \frac{m}{s} \times 3.3 f t}{1 m}=231 \frac{f t}{s}$[/tex]
In 20 seconds, the parachute covers the distance of,
[tex]231 \frac{f t}{s} \times 20 s=4620 \mathrm {ft}[/tex]
Find the value of each variable using sine and cosine.
Answer:
Step-by-step explanation:
Sin 50° = [tex]\frac{opposite}{hypotenuese} = \frac{8}{n}[/tex]
[tex]n=\frac{8}{sin 50}[/tex] = 10.44
Cos 50° = [tex]\frac{adjacent}{hypotenuese} = \frac{m}{n}[/tex]
m = n cos 50 = 6.71
The value of each variable using sine and cosine are,
⇒ n = 10.44
⇒ m = 6.71
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown in image.
Now, By using trigonometry identity we get;
⇒ sin 50° = Opposite / Hypotenuse
⇒ sin 50° = 8 / n
⇒ n = 8 / sin 50°
⇒ n = 10.44
And,
⇒ cos 50° = Adjacent / Hypotenuse
⇒ cos 50° = m / n
⇒ m = 10.44 cos 50°
⇒ m = 6.71
Thus, The value of each variable using sine and cosine are,
⇒ n = 10.44
⇒ m = 6.71
Therefore, The value of each variable using sine and cosine are,
⇒ n = 10.44
⇒ m = 6.71
Learn more about the triangle visit;
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Zhen and Justin made two different
number patterns that each started
at 0. Zhen wrote terms using the rule
"add 18." Justin wrote terms using the
rule "add 6." What is the relationship
between the two patterns?
Zhen pattern will be
[tex]0, 18, 36, 54, 72, 90,\ldots[/tex]
Justin pattern will be
[tex]0, 6, 12, 18, 24, 30,\ldots[/tex]
Since Zhen always add 18 and Justin always adds 6, and 6 is one third of 18, the n-th element of Zhen's pattern will always be three times the n-th element of Justin's pattern.
Use the rational root theorem to list all possible rational roots for each equation. Then find any actual rational roots. X^3-4x+1=0
Answer:
[tex] \pm1[/tex]
Step-by-step explanation:
The given equation is
[tex] {x}^{3} - 4x + 1 = 0[/tex]
According to the rational roots theorem, the possible rational roots are all factors of the constant term, expressed over all
factors of the leading coefficient.
The factors of the leading term, 1 are:
±1
The factors of the leading coefficient are:
±1
The possible rational roots are:
[tex] \pm1[/tex]
The sheet of stamps had 15 rows of stamps with 15 stamps in each row. How many stamps were on the sheet?
Answer:
225
Step-by-step
15 x 15 =225
Answer:
225
Step-by-step explanation:
multiply 15x15 to get your answer. We do this because each row has 15 stamps and 15 rows have 225 stamps.
The scatter plot below shows the commute times of 25 different people and the number of stoplights they drive through on their way to work.
Which type of association best describes the relationship between the number of stoplights on a person's commute and that person's commute time?
A.
no association
B.
negative association
C.
positive and negative association
D.
positive association
Answer:
D. Positive association
Step-by-step explanation:
The line of best fit would have a positive slope
A 2-column table with 6 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 10, negative 8, negative 6, negative 4, negative 2, 0.
Which is an x-intercept of the continuous function in the table?
(0, –6)
(3, 0)
(–6, 0)
(0, 3)
Answer:
(3, 0)Step-by-step explanation:
The given table is
x f(x)
-2 -10
-1 -8
0 -6
1 -4
2 -2
3 0
Remember, x-intercept has the form [tex](k,0)[/tex] where [tex]k[/tex] is a real number. In other words, x-intercept are points with a null y-coordinate.
As you can see in the given table, the x-intercept is at [tex](3,0)[/tex].
Therefore, the right answer is the second choice.
3,456,321 rounded to the nearest hundred thousand
Answer:
3,456,000
Step-by-step explanation:
brainliest please ;)
What does the value of x have to be so that
(x, -7) and (-1,4) have a slope of 11 between them?
Answer:
x= -2
Step-by-step explanation:
Please see attached picture for full solution.
SOS help i can't figure out this math problem
As part of summer camp, Henry goes on a treasure hunt. He starts at the base of a tree and walks 189 ft due north. He then Turns and walks 89 ft due east. He turns again and walks 89 ft due south. How far is Henry from the tree?
Answer:
133.87 ft
Step-by-step explanation:
equation 5x + 3(X
= 10X - 2x - 37
Answer: there is no x
Step-by-step explanation:
5x + 3(×)= 10x -2x -37
Open the bracket
5x + 3×= 10x -2x -37
Combine like terms
8x= 8x-37
8x - 8x = -37
0 = -37
Which equation can be used to calculate the area of the shaded triangle in the figure below?
A rectangle with a length of 18 feet and width of 4 feet. A diagonal cuts the rectangle into two halves. One of the triangular halves is shaded.
(1 point)
2(18 + 4) = 44
fraction 1 over 2 (18 + 4) = 11
2(18 × 4) = 144
fraction 1 over 2 (18 × 4) = 36
Answer:
fraction 1 over 2 (18 × 4) = 36
[tex] \because [/tex]Area of standard triangle
[tex]= \frac{1}{2} \times base\times height. [/tex]
Where,
Base of triangle = lenght of rectangle = 18 feet
&
Height of triangle = width of rectangle = 4 feet
Does the equation open up or down?
Y = -3x2 +7x - 2
Answer:
Opens downward, like a frowning face
Step-by-step explanation:
Answer:
down
Step-by-step explanation:
Since the coefficient of the x^2 term is negative, the parabola makes a frown and opens upside down
What is the least common multiple of 18, 16, and 9?
A.
48
B.
144
C.
288
D.
2,592
Answer:
The correct answer is B. 144
Please help
14 points up for grab
Answer:
200
Step-by-step explanation:
separate the two squares
the squares are 10 x 10 so the area is 100
since there are two of the same size squares that means 100 x 2
there ya go
Determine whether the given measures can be the lengths of the sides of a triangle write yes or no
2,2,6
NO.,the given measures can not be the lengths of the sides of a triangle
Step-by-step explanation
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
so, Find the range for the measure of the third side of a triangle given the measures of two sides.
here given measures are 2,2,6
2+2 = 4 which is less than the third side 6
= 4 < 6
This not at all a triangle.
Hence, the given measures can not be the lengths of the sides of a triangle
What is the mean of: 9.6, 2, 4.1, 8, 5.9, 2, 3.7, 6, 7.6?
Answer: 5.43
Step-by-step explanation:
To find the Mean, sum the values and divide by the number of values
=9.6 + 2 + 4.1 + 8 + 5.9 +2 + 3.7 + 6 + 7.6/9
= 48.9/9
=5.43
I hope this helps.
You cut a sheet of paper along its diagonal, as shown. What is the length of the diagonal? Round your answer to the nearest tenth. HOW MANY INCHES?
Answer:
14.4
Step-by-step explanation:
Use the Pythagorean Theorem: a^2 + b^2 = c^2
Answer:
14.4
Step-by-step explanation:
If y varies inversely with the square of r, what is the constant of proportionality when y - 10 and 1 = 5?
Question:
If y varies inversely with the square of r, what is the constant of proportionality when y =10 and r = 5?
Answer:
The constant of proportionality is 250
Solution:
Given that,
y varies inversely with the square of r
Which means,
[tex]y \propto \frac{1}{r^2}\\\\y = k \times \frac{1}{r^2}[/tex]
Where, "k" is constant of proportionality
Subtitute y = 10 and r = 5
[tex]10 = k \times \frac{1}{5^2}\\\\10 = k \times \frac{1}{25}\\\\k = 10 \times 25\\\\k = 250[/tex]
Thus the constant of proportionality is 250
Suppose you filled the ice-cream cone shown with your favorite ice-cream. Which measurement BEST describes the
amount of ice-cream in the cone? (round to the nearest tenth)
Amount of ice-cream in the cone = 6.3 in³
Solution:
Given data:
Diameter of the cone = 2 in
Radius of the cone = 2 ÷ 2 = 1 in
Height of the cone = 6 in
The value of π = 3.14
Volume of the cone = [tex]\frac{1}{3} \pi r^2 h[/tex]
[tex]$=\frac{1}{3}\times 3.14\times 1^2\times 6[/tex]
= 6.3
Volume of the cone = 6.3 in³
Amount of ice-cream in the cone = 6.3 in³
Answer:
6.3 in ^3
Step-by-step explanation:
Trust me ;)
What are the solutions of each equation? Use a graph of the related function. a. x2 + 4 = 4 b. x2 + 16 = 0 c. x2 − 49 = 0
The solutions to the equations are: a) x = 0, b) No real solutions, c) x = 7, -7.
Explanation:In order to find the solutions to each equation, we can use a graph of the related function. Let's go through each equation:
a. x² + 4 = 4
Subtracting 4 from both sides of the equation, we get x² = 0. This means x = 0 is the only solution.
b. x² + 16 = 0
Subtracting 16 from both sides gives us x² = -16. Since the square of a real number cannot be negative, there are no real solutions to this equation.
c. x² - 49 = 0
Adding 49 to both sides yields x² = 49. Taking the square root of both sides gives x = ±7. So the solutions to this equation are x = 7 and x = -7.
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Can you show me a workout
Answer:
d
Step-by-step explanation:
A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag.
The probibly of not drawing a black marhle is_
The probability of drawing a red marble is_
Answer:
Question 1: 4/5 or %80
Question 2: 7/10 or %70
Step-by-step explanation:
Step 1: Find the total amount of marbles
5 + 2 + 3
10
Step 2: Find the probability of not drawing a black marble
Add the total amount of marbles that are not black
5 + 3
8
Now find the probability:
8/10
4/5 or %80
Answer: 4/5 or %80
Step 3: Find the probability of not drawing a red marble
Add the total amount of marbles that are not red
5 + 2
7
Now find the probability:
7/10 or %70
Answer: 7/10 or %70
Answer: its 4/81
Step-by-step explanation:
i just did it
Which of the following is defined by a line divides two sides of a triangle
proportionally, then it is parallel to the third?
O
A. Converse of the Triangle Proportionality Theorem
O
B. Triangle Midsegment Theorem
O
C. Triangle Proportionality Theorem
) D. Converse of the Triangle Midsegment Theorem
Answer: A
Step-by-step explanation:
Triangle Proportionality Theorem Converse states that if a line divides two sides of a triangle proportionally, then it is parallel to the third side.
Solve 3x - 9x + 7 - 3 = -8.
6
-6
2
-2
Answer:
x=2
Step-by-step explanation:
3x - 9x + 7 - 3 = -8
Combine like terms
-6x +4 = -8
Subtract 4 from each side
-6x +4-4 = -8-4
-6x = -12
Divide each side by -6
-6x/-6 = -12/-6
x = 2
Answer:
x=2
Step-by-step explanation:
add like terms (3x-9x= -6x, 7-3= 4)
then move the constant to the right (-8+4=-12)
finally divide it by 6 which gives you "x"