Answer:
24mph
Step-by-step explanation:
convert 20 mins and 30 mins to hrs by dividing by 60
4/(20/60)=12
6/(30/60)=12
12+12=24
Cyclist's average speed is 12 mph.
What is Speed?Speed is calculated as the ratio of the distance travelled by an object to the time taken to cover the distance.
It can also be defined as the rate of change of position of anything in any direction.
Speed is a scalar quantity as it does not have direction.
Total distance travelled by the cyclist = 4 miles + 6 miles
= 10 miles
Total time taken by the cyclist = 20 minutes + 30 minutes
= 50 minutes
We need the average speed in mph or miles per hour.
We know that,
60 minutes = 1 hour
1 minute = 1/60 hour
50 minutes = [tex]\frac{1}{60}[/tex] × 50 hour
= [tex]\frac{5}{6}[/tex] hour
Average Speed = Total distance travelled / Total time taken
= 10 miles / (5/6) hour
= 10 × [tex]\frac{6}{5}[/tex]
= 12 miles per hour
Hence the average speed of the cyclist is 12 miles per hour.
Learn more about Speed here :
https://brainly.com/question/7359669
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What percent is a gram of a kilogram
Answer:
0.1 percent
Step-by-step explanation:
Gas grills are on sale 20% off. The sale price of the grill that I like is $399.20. What was the original price of the grill?
Answer:
499
Ste-by-step explanation
80 percent of the original price is left.
If you divide by 4 you get 99.8 which is 20% of the original price. Then if you multiply 99.8 by 5 you will get 100% of the original price which is 499
You can also do 399.2 * 1.25 = 499
Shelby will take a total of 6 tests. On the first 5 tests, her scores were: 80, 85, 73, 78, 90. If she wants a mean grade of 80, what does Shelby have to score on her 6th test?
84
80
90
74
Answer:
74
Step-by-step explanation:
The mean of any set of numbers is simply the sum of the numbers divided by however many numbers you have. Because of this you can write the following equation
Mean = (sum of numbers)/(number of numbers)
Let's say that the missing test score is called x:
Mean = 80 = (80 + 85 + 73 + 78 + 90 + x)/6
80(6) = 80 + 85 + 73 + 78 + 90 + x
480 = 80 + 85 + 73 + 78 + 90 + x
x = 480 - 80 - 85 - 73 - 78 - 90
x = 74
Resultado de la operación -2-(5-3)+4
Answer:
0
Step-by-step explanation:
-2-(5-3)+4
-2-2+4
-4+4
0
Can someone help me ? :
Answer:
[tex]\huge\boxed{\sf y = 100.4}[/tex]
Step-by-step explanation:
Given equation is:
53 = y - 47.4
Add 47.4 to both sides
53 + 47.4 = y
100.4 = y
OR
y = 100.4
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Hello there!
Question:-[tex]\sf \longmapsto53=y - 47.4[/tex]
This is a equation. We need to find the value of variable y.
Solution:-[tex]\sf \longmapsto53=y- 47.4[/tex]
To Solve further,we need to overturn the equation.
That is :-
[tex]\sf \longmapsto \: y - 47.4 = 53[/tex]
Then, Add +47.4 to two sides:-
[tex]\sf \longmapsto \: y - 47.4 + 47.4 = 53 + 47.4[/tex]
On Simplification:-
Note that (-) and (+) equals to (-). So it would be 47.4 - 47.4 . Which results to 0.
[tex]\sf \longmapsto \: y - 0 = 100.4[/tex]
[tex]\sf \longmapsto \: y = 100.4( Ans.)[/tex]
Answer as a mixed fraction:-
[tex]\sf \longmapsto 100\dfrac{2}{5}[/tex]
Answer as a fraction:-
[tex]\sf\longmapsto 502/5[/tex]
______________________________________
Henceforth, the value of y is :-
[tex]\bf \: y = 100.4[/tex]
Or as a mixed fraction:-
[tex]\bf y = 100\dfrac{2}{5}[/tex]
Or as a fraction:-
[tex]\bf y = 502/5[/tex]
________________________________
I hope this helps!
Please let me know if you have any questions.
i need help on this asap
Answer:
c
Step-by-step explanation:
solve the equation 3÷7x-1+1÷x=0
Answer: The answer is 3x^2 - 7x + 7 = 0.
Determine whether it is possible to form a triangle
with side lengths 5, 7, and 8.
O yes
no
Answer:
YES
Step-by-step explanation:
x=4y,2x+y=18 solve by substitution show all work
Please help me…………….
Answer:
Isosceles triangle.
Step-by-step explanation:
Please help. Due Today
Answer:
Blank 1) 1 pound of raisins
Blank 2) 2.25 pounds of raisins
Blank 3) 1.2 pounds of almonds
Blank4) 1.4 pounds of almonds
Answer this pleaseeee <3 <3 <3 <3 <3 <3 <3
Answer:180%
Step-by-step explanation:
72/40 = 1.8
(1.8)(100)= 180
Answer:
Answer: 180%
Step-by-step explanation:
What is the factored form of n^3+512 (please answer) picture provided
[tex] {n}^{3} + 512 \\ = {(n)}^{3} + {(8)}^{3} \\ by \: using \: {a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2}) we \: \: \: get \\ = (n + 8)( {(n)}^{2} - n \times 8 + {(8)}^{2} ) \\ = (n + 8)( {n}^{2} - 8n + 64)[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:
(image)
Which statement best describes a flaw in the student's proof?
Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.
Triangles ABD and CDB are congruent by the SAS postulate instead of the SSS postulate.
Triangles ABD and BCD are congruent by the AAS postulate instead of the SSS postulate.
Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.
The statement that best describes a flaw in the students' proof is;
Option D; Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.
From the given image, we can see that;
AB ≅ DC
Let us analyze each given option;
A) ∠DBC and ∠BDA are in the same triangle ΔBDC. Now, they can't be a pair of vertical angles because vertical angles are a pair of opposite angles formed when two lines intersect but this is not the case here.
They are also not alternate interior angles because alternate angles are formed when a transverse line intersects two coplanar lines and again that is not the case here.
B) In ΔABD and ΔBDC, we see that;
AB = DC. Also, by theorem of alternate interior angles, we can tell that;
∠ABD = ∠BDC
Similarly, ∠BDA = ∠DBC from alternate interior angles.
Thus, there is one corresponding side and two non-included angles which means the triangles are congruent by AAS Congruency postulate.
C) As seen in B above, this statement is correct because the triangles are congruent by AAS postulate.
D) Corresponding angles lie on the same side of the transversal. In this case, ∠BDA and ∠DBC lie on opposite sides and are even congruent by alternate interior angles.
Read more about congruency at; https://brainly.com/question/7727792
find the quadratic equation of -9+3p2=-12
Answer:
How to solve your problem-
9 + 3 2 = − 1 2
Step-by-step explanation:
− 9 + 3 2 = − 1 2
9+3p2=-12
3 2 − 9 = − 1 2
please help me write an expression for area and perimeter for this rectangle
[tex]\text{Given that ,}\\\\\text{Length,}~ l = (2y+5)~\text{units.}\\\\\text{Width, } w= 3~\text{units.}\\\\\\\text{Area} = lw = (2y+5)(3) = (6y+15) ~~ \text{units}^2.\\\\\\\text{Perimeter} =2(l+w) = 2(2y+5 +3) = 2(2y+8) = (4y+16)~~ \text{units}.[/tex]
What is the volume of a cone with the height of 6 inches and the diameter of 4 inches?
A) 25.20in3
B) 25.12in3
C) 26in3
D) 25in3
Will get brainliest
A ___ equation is a second-degree equation of the form ax^2+bx+c=0 where a ≠ 0
Answer:
A quadratic equation is second degree equation with the standard form ax^2+bx+c=0 as the highest power is 2.
__________________.
5+(3²-4)-6/3 please help
Therefore, 8 is the answer.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
expand and simplify 2(8x + 4y - 10)
[tex]2(8x + \\4y - 10)[/tex]
How do u Keep change change this number???
1.3 - -300=????
I don’t know what to do
Q.The total surface area of a cylinder is
3080cm² and height is 21cm. Find its base radius.
Show full process.
Answer:
r≈14cm
h Height
21
cm
A Surface area
3080
cm²
Using the formula
A=2πrh+2πr2
Solving forr
r=1
2h2+2A
π﹣h
2=1
2·212+2·3080
π﹣21
2≈14.00402cm
pls help!! the answers are written but can someone explain how to find the angles step by step? I already know how to find the hypotenuse length.
There are a few options we can take. One way is to use the tangent ratio to tie together the opposite and adjacent sides, and then apply the inverse tangent (aka arctangent) to get the angle itself.
Let x be the upper left acute angle, and y be the lower right acute angle.
We can say
tan(angle) = opposite/adjacent
tan(x) = 16/5
x = arctan(16/5)
x = 72.645975 approximately
x = 72.6
and also
tan(angle) = opposite/adjacent
tan(y) = 5/16
y = arctan(5/16)
y = 17.3540246
y = 17.4
Note how x+y = 72.6+17.4 = 90. The two acute angles of any right triangle are complementary, meaning they always add to 90. So if you found x, then you can compute y = 90-x without needing the tangent ratio.
Your calculator needs to be in degree mode when using the arctangent function, which is denoted as [tex]\tan^{-1}[/tex] on many graphing calculators.
An online furniture store sells chairs and tables. Each day, the store can ship at most 55 pieces of furniture. Write an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.
Answer:
t+c ≤ 55
Step-by-step explanation:
t+c is the total pieces of furniture and it must be at most (less than or equal to) 55 so t+c ≤ 55 is the equality that represents the possible values.
Rachael is placing a protective cover on a glass case. The case is a cube, and the perimeter of one cube face is 56 inches.
How many square inches of the protective covering does she need for the case?
Answer:
336
Step-by-step explanation:
We know that a cube has 6 faces which means we can use this equation:
56 x 6 = 336
336 square inches is the answer.
Perimeter=56in
Side=56)4=14inSo area of one side=
(side)^2=(14)^2=196in^2Cube has 6sides
So total protection:-
6(196)1176in^22 people start from the same spot one walking east the other walking west, the person walking east walks slowly at 4mph and the other person walks fast at 6mph writr and solve a system of equations that can be used to determine how ong until 2 people are 2 1/2 miles apart from ach otherr
Answer:
3\5
Step-by-step explanation:
What is the domain and range of the function f(x)=17?
30 POINTS John opens a savings account and decides to deposit $10 each month. Let x represent the number of
months that he has been saving, and y, represent the total amount of money saved.
7. What is the algebraic equation for John's saving plan?
8. How much money will John have saved in 14 months? In 6 months? Show your work and
explain.
9. In how many months will John have saved $100? $175? Show your work and explain.
10. What is the rate of change?
11. How does knowing the rate of change help you in answering questions in this problem?
12. Use your equation to complete the table representing John's savings:
# of Months Saving Account Balance ($)
0
1
2
3
4
Answer:
7.) y=10x
8.) $140 in 14 months, $60 in 6 months
9.) He will have saved $100 in 10 months and $175 in 17.5 months
10.) The rate of change is 10
11.) Knowing the rate of change helps you in answering this problem because it tells you how much money he saves per month.
12.)
0- $0
1- $10
2-$20
3-$30
4-$40
Step-by-step explanation:
7.) The standard form of a linear equation is y=mx+b
The starting balance is 0 so there is no point to adding b. M is the amount of money he deposits each month so that is 10. You plug in the values and you get y=10x (+0)
8.) y=10(14)
$140
y=10(6)
$60
9.) 100=10x
100/10= 10
10 months
175=10x
175/10=17.5
17.5 months
10.) The rate in change is m so 10.
Hope I explained this in simple enough terms. Have a good day!
Katie works as a waitress and records her monthly tips in the table shown below. If Katie decided not to work the month of November, how would her five month average compare to her six month average for monthly tips? June July August Septemper October November $133. 45 $235. 31 $239. 45 $258. 87 $298. 45 $115. 67 a. Her monthly average would have decreased by $19. 57. B. Her monthly average would have increased by $19. 57. C. Her monthly average would have increased by $2. 7. D. Her monthly average would have decreased by $2. 7. Please select the best answer from the choices provided A B C D.
Her monthly average would have decreased by $19.57 and it can be determined by using taking the average value of every month.
Given that,Katie works as a waitress and records her monthly tips in the table shown below.
June, July, August, September, October, November
$133.45, $235.31, $239.45, $258.87, $298.45, $115.67
If Katie decided not to work the month of November,
We have to determine,How would her five-month average compare to her six-month average for monthly tips?
According to the question,Katie works as a waitress and records her monthly tips in the table below.
June, July, August, September, October, November
$133.45, $235.31, $239.45, $258.87, $298.45, $115.67
To find out how not working in November would affect the average of Katie's tips.
The average of her working June until October only.
[tex]\rm Average = \dfrac{133.45 + 235.31 +239.45 + 258.87 + 298.45}{5}\\\\Average =\dfrac{ 1165.53 }{ 5}\\\\Average = 233.10[/tex]
Then, The average is with the month of November is,
[tex]\rm Average = \dfrac{133.45 + 235.31 +239.45 + 258.87 + 298.45 + 115.67}{6}\\\\Average =\dfrac{ 1281.2 }{ 6}\\\\Average = 213.53[/tex]
Therefore,
On comparing the average of her five-month average to her six-month average for monthly tips is,
[tex]233.10 - 213.53 = 19.57[/tex]
The average will decrease because 213.53 is less than 233.10.
Therefore, Her average will decrease by $19.57.
Hence, Her monthly average would have decreased by $19.57.
For more details about the Average value refer to the link given below.
https://brainly.com/question/8916264
Answer:
b
Step-by-step explanation:
Which of the following statements is the only
sentence that is error-free?