Answer:
Speed of return trip (v) = 60 mph
Step-by-step explanation:
Given:
Distance = x
Speed (u) = 20 mph
Average speed = 30 mph
Find:
Speed of return trip (v)
Computation:
Time taken = Distance / Speed
Time of starting trip = x / 20
Time of starting trip = x / Speed of return trip (v)
Average speed = Total distance / Total time taken
30 = 2(x)/ [x/20 +x / Speed of return trip (v)]
30 = 40 v / (v + 20)
v = 60 mph
Speed of return trip (v) = 60 mph
Anyone I need help at this dont type other things. Pls now I need the solution anyone.
Answer:
see explanation
Step-by-step explanation:
(a)
Since there are 360° in the complete pie chart the 40° represents
360° ÷ 40° = 9 parts of the chart
Since 40° represents 7 cars then there are a total of
9 × 7 = 63 cars in the car park
(b)
The circumference (C) of a circle is calculated as
C = πd ( d is the diameter )
Given C = 28 , then
πd = 28 ( divide both sides by π )
d = [tex]\frac{28}{\pi }[/tex]
I am a quadrilateral with 2 pairs of equal sides.
I also have 2 pairs of parallel sides. I have no lines of
symmetry.
What am I?
Answer:
Parallelogram
Pls Mark As Brainliest
Please help me I will give BRAINLIST and a like :))))
Answer:
18.75%
Step-by-step explanation:
Hello,
3 students are both female and senior
the total number of students is 7+10+8+5=30
so the probability to select one female senior is 3/30=1/10=0.10
probability to select one female is 16/30=16/30
probability that the student is a senior given that it's female is
=P(female and senior)/P(female)
=1/10*30/16=3/16
hope this helps
Answer:
19%
Step-by-step explanation:
Find the number of female students
3+4+6+3 = 16
P( senior given that it is female = senior/ female
= 3/16
=.1875
18.75%
To the nearest whole percent 19%
15. Davis wants to pour 5 gallons of punch into
gallon jugs How many jugs will he need?
81
(А)
2
NI
(В)
BE
2
© 10
D 15
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Davis wants to pour 5 gallons of punch into ½ gallon jugs How many jugs will he need?
A. 2½
B. 5½
C. 10
D. 15
Answer:
Number of jugs = 10
Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.
Step-by-step explanation:
David has 5 gallons of punch that he wants to pour into jugs.
The capacity of 1 jug is ½ gallon.
The required number of jugs may be found as
Number of jugs = gallons of punch/capacity of jug
For the given case, we have
Gallons of punch = 5
capacity of jug (in gallons) = ½ = 0.5
So, the required number of jugs is,
Number of jugs = 5/½
Number of jugs = 5/0.5
Number of jugs = 10
Therefore, Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.
What is the rate of increase in water pressure in atm/km
Answer:
Rate of increase in water pressure is 992
Step-by-step explanation:
A piece of wire 13 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. (a) How much wire should be used for the square in order to maximize the total area? (b) How much wire should be used for the square in order to minimize the total area?
The function you seek to minimize is
()=3‾√4(3)2+(13−4)2
f
(
x
)
=
3
4
(
x
3
)
2
+
(
13
−
x
4
)
2
Then
′()=3‾√18−13−8=(3‾√18+18)−138
f
′
(
x
)
=
3
x
18
−
13
−
x
8
=
(
3
18
+
1
8
)
x
−
13
8
Note that ″()>0
f
″
(
x
)
>
0
so that the critical point at ′()=0
f
′
(
x
)
=
0
will be a minimum. The critical point is at
=1179+43‾√≈7.345m
x
=
117
9
+
4
3
≈
7.345
m
So that the amount used for the square will be 13−
13
−
x
, or
13−=524+33‾√≈5.655m
A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player has is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number of goals and assists the player has? Assume g represents the number of goals and a represents the number of assists.
A)g + a = 24. g + 2 a = 42.
B)g + a = 24. 2 g + a = 42.
C)g + a = 42. g + 2 a = 24.
D)g + a = 42. 2 g + a = 24.
Answer:
B
Step-by-step explanation:
The soccer player has g goals and a assists.
For every goal, he/she gets 2 points and for every assist, he/she earns 1 point. This means that if we multiply g by 2, we get the number of points the player receives from g goals and if we multiply a by 1, we get the number of points the player receives from a assists.
And, that total number of points is equal to 42, so we can write:
2 * g + 1 * a = 42
2g + a = 42
Now, we understand that g and a are the number of goals and assists the player has made, and we also know that the total number of such kicks is 24, so we can write:
g + a = 24
Thus, our system is:
g + a = 24
2g + a = 42
The answer is B.
~ an aesthetics lover
Answer:
The correct answer is B. g + a = 24. 2 g + a = 42
simplify the expression (x - 2y) + (3x + 4y)
Simplifying the expression (x - 2y) + (3x + 4y).
Work:
(x - 2y) + (3x + 4y)
Combine like terms.
x + 3x = 4x
-2y + 4y = 2y
Reform the expression.
4x + 2y
Simplified Expression: 4x + 2y.
Water is being pumped into a reservoir tank. The total amount of water (w) after an amount of time (t) is given by the equation w =100+55t . If the total amount of water that will fit in the tank is 540 gallons, how much time will it take to fill the tank
Answer:
it will take 8 minutes
Step-by-step explanation:
Here, we want to
calculate the amount of time taken to fill the tank given the total amount of water in the tank.
Mathematically, the formula go
use is ;
w= 100 + 55t
540 = 100 + 55t
55t = 540-100
55t = 440
t = 440/55
t = 8
work out these:
mixed number
1) 1 1/5+3 2/5=
2)4 1/2-1 1/3=
3)5 3/4-2 1/4=
4)7 2/3+2 1/5=
i Will give brainliest if answer is correct thank you:)
Step-by-step explanation:
1) 4 3/5 or 4.6
2) 3.833
3) 4
4) 9.866
A chef cooked 7 kg of mashed potatoes for a banquet. If the guests only ate 34of the amount he cooked, how much of the potatoes were eaten?
Answer:
2.38 Kg were eaten
Step-by-step explanation:
first we should divide 34 by 100
the result will be 0.34
then we multiply 0.34 x 7 Kg = 2.38 Kg
Help me please 20 points!!!
Answer:
Step-by-step explanation:
7- 4!= 4*3*2*1=24
8- 10C3 = 10!/(3!*(10!-3!) = 120
9- 7 P3 =7!/(7-3)! = 210
Which table represents a linear function
Answer:
The first photo
Step-by-step explanation:
Its a i think
02.27.49
Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Select three
options.
rectangular prism
VX
triangular prism
cylinder
cone
square pyramid
triangular pyramid
Next
Submit
Mark this and return
Answer:
Rectangular prism, triangular prism, cylinder
Step-by-step explanation:
has base in the form of rectangle,so when cut perpendicular to base,the base as well as other faces, will be in the shape of Rectangle. Same for the triangular prism and cylinder.
ann pays 300 for membership to a local gym. she is allowed to bring one guest on any visit. John pays Ann 5 to go to the gym with her occasionally. describe what the expression 300- 5t could represent. then evaluate the expression. t = 5,10,15, and 20
Answer:
The expression represents Ann's membership cost as a function of how many times she brings John along. For t = 5 the cost is 275, for t = 10, the cost is 250 and for t = 20 the cost is 200.
Step-by-step explanation:
The expression "300 - 5*t" represents the cost of Ann's membership plan on the local gym, where "t" is the number of visits John pays Ann. This means that the more times John goes to the gym with Ann, the less is her cost to pay the membership.
For t = 5:
[tex]cost = 300 - 5*t\\cost = 300 - 5*5 = 275[/tex]
For t = 10:
[tex]cost = 300 - 5*t\\cost = 300 - 5*10 = 250[/tex]
For t = 20:
[tex]cost = 300 - 5*t\\cost = 300 - 5*20 = 200[/tex]
What is the value of n?
121 144
Answer: 95 degrees
Step-by-step explanation:
Value of n in the given triangle is [tex]95^o[/tex].
The given image in the question is attached below:
We have to find the value of n.
Let's find the interior angles based on the two given angles:
Since we know the sum of interior and exterior angle is always [tex]180^{o}[/tex].
Consider for the given interior angles, the exterior angles are A and B respectively.
Then,
121 + A= 180
A = 180-121
A = 59
so the interior angle A= 59
Next, 144 + B = 180
B = 180-144
B= 36
So the interior angle B=36
We also know that the sum of all the three angles of a triangle is always [tex]180^o[/tex]
Consider the 3rd angle is C
Then, A+B+C = 180
On substituting the values of A and B.
59 + 36 + C = 180
95 + C = 180
C = 18-95
C= 85
As we have found, the adjacent interior angle of n. We can find the value of n as:
n + C = 180
n = 180-85 (Since C=85)
n = 95
so, [tex]n=95^o[/tex]
Hence, the value of n is [tex]95^o[/tex].
Learn more about triangles here:
https://brainly.com/question/2773823
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A truck is used to transport gravel. The box on the truck is a rectangular prism 11 ft long, 7 ft wide and 4 ft high. The box does not have a top. The volume of gravel that the truck can transport is:
Answer:
308 cubic feet
Step-by-step explanation:
The box on the truck has dimensions 11 ft by 7 ft by 4 ft.
The volume of the box is:
V = L * W * H
V = 11 * 7 * 4
V = 308 cubic feet
The truck can transport 308 cubic feet of gravel.
how do you calculate a length of a triangle
Answer:
Perimeter-width=Length
Hope this helps :)
Answer:
Area- A= b (base) times h (height) divided by 2
Perimeter- P= a+b+c
Step-by-step explanation:
Please help ASAP please give both answers :)
Answer:
Step-by-step explanation:
If we want to share £5 to the ratio of 1/3 we should follow this steps :
our ratio is 1/3 so we should add 1 and 3 together to find the total number of parts : 1+3=4 divide the total amount by the number of parts : 5/4 = 1.25 multiply each number in the ratio by 1.25 : 1.25*1=1.25 and 1.25*3=3.75the answer is 1.25 and 3.75
It was obvious from the beginning that the answer would be the last one since ut had two numbers
following the same steps you get again in the second question :6 ; 14
What is the missing value in this table of equivalent ratios?
Answer:
A
Step-by-step explanation:
follow the pattern in its timetables,hope this helps u!
Can some one help me
Answer:
Step-by-step explanation:
divide 4 and 2 then add 2 and 1
Answer:
y = - 4x + 17
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (2, 9)
m = [tex]\frac{9-1}{2-4}[/tex] = [tex]\frac{8}{-2}[/tex] = - 4, thus
y = - 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 1) , then
1 = - 16 + c ⇒ c = 1 + 16 = 17
y = - 4x + 17 ← equation of line
A,B and C are three points lying in that order on a straight line. A body is projected from B towards A with speed 3m/s. The body experiences an acceleration of 1m/s² towards C. If BC=20m, find the time taken to reach C and the distance travelled by the body from the moment of projection until it reaches C.
Answer:
The total time taken to reach C = 10 s
The total distance traveled by the body = 29 m
Step-by-step explanation:
Whereby the points are vertically oriented, we have;
v = u + at
Where;
a = Acceleration of the body = -1 m/s²
u = Initial velocity = 3 m/s
v = Final velocity, = 0 m/s at maximum height
t = Time taken
0 = 3 + (-1)× t
t = 3 s
The maximum height S is given as follows;
S = u·t + 1/2·a·t² = 3×3 + 1/2×(-1)×3² = 4.5 m
Therefore, the total distance, [tex]S_t[/tex], from maximum height to C = 45 + 20 = 24.5 m
The total time is given from the total distance as follows;
[tex]S_t[/tex] = u[tex]_m[/tex]·t[tex]_t[/tex] + 1/2·a[tex]_d[/tex]·t[tex]_t[/tex]²
Where;
u[tex]_m[/tex] = Initial velocity from the maximum height = 0 m/s
a[tex]_d[/tex] = Downward acceleration = Opposite sign to upward acceleration = 1 m/s²
24.5 = 0·t[tex]_t[/tex] + 1/2·(1)·t[tex]_t[/tex]²
49 = t[tex]_t[/tex]²
t[tex]_t[/tex] = √ 49 = 7 s
The total time taken to reach C = Initial time to reach maximum height + Time from maximum height = 3 s + 7 s = 10 s
The total time taken to reach C = 10 s
The total distance traveled by the body = Distance from B to maximum height + Distance from maximum height to C
The total distance traveled by the body = 4.5 m + 24.5 = 29 m.
The total distance traveled by the body = 29 m.
I NEED HELP PLEASE, THANKS! :)
Answer: tan(14x)
Step-by-step explanation:
Consider the Sum Formula for tan:
[tex]tan(A + B)=\dfrac{tan(A)+tan(B)}{1-tan(A)(tan(B)}\\\\\\tan(9x+5x)=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}\\\\\\\large\boxed{tan(14x)}=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}[/tex]
Answer:
[tex]\tan(4x)[/tex]
Step-by-Step Explanation:
Notice that this resembles the difference identity for tangent. Specifically:
[tex]\displaystyle \tan(\alpha-\beta)=\frac{\tan(\alpha)-\tan(\beta)}{1+\tan(\alpha)\tan(\beta)}[/tex]
So, given our equation, we can pretend that α=9x and β=5x. Therefore:
[tex]\displaystyle \frac{\tan(9x)-\tan(5x)}{1+\tan(9x)\tan(5x)}=\tan(9x-5x)=\tan(4x)[/tex]
PLZ HELP I DONT UNDERSTAND A password for a security system must consist of a eater followed by two digits. How many possible passwords are there?
Answer:
7020
Step-by-step explanation:
The letter could be any 1 of the 26 and it could be placed in any 1 of 3 places so this makes 26*3 = 78 possibilities.
For each of these there is any one of permutations of 2 digits from 10
= 10P2 = 10! / 8! = 10*9 = 90.
So the answer is 78 * 90 = 7020.
Note I am assuming that the 2 digits picked are different - no duplicates.
please mark me brainliest!
HELP
Find the volume of the sphere in terms of Pi
Answer:
Hey there!
The volume of a sphere is 4/3pir^3
If d=5, then r=2.5,
Thus, we have 4/3(15.625)pi
20.83pi
The first choice is correct.
Hope this helps :)
Answer: num 1
Step-by-step explanation:
4/3*pi*r^3
4/3*pi*15.625
20.83*pi
hope i halped
can i get brainliest?(im trying to level up)
pls
-Zylynn
Classify the following triangle. Check all that apply.
Answer:
Isosceles, obtuse triangle
Step-by-step explanation:
The triangle is isosceles since there are equal acute-angles which therefore prove two equal sides.
The triangle is obtuse because it consists of one obtuse angle which is 98 and is greater than 90 degrees.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Solve for x 5 x + 2 = 7 x − 4 plz help me
Answer:
3
Step-by-step explanation:
5 x + 2 = 7 x − 4
7x-5x= 2+4
2x= 6
x= 3
Answer:
The value of x in this equation is 3.
Step-by-step explanation:
5x + 2 = 7x - 4
Subtract 7x from both sides of the equation.
-2x + 2 = -4
Subtract 2 from both sides of the equation.
-2x = -6
Divide by -2 on both sides of the equation.
x = 3
What is 5+3? I would like to know please.
Answer:
8
Step-by-step explanation:
When you add it together, you get 8.
someone help with question number 3 asap
Answer:
Please check the attached file.
Hope this helps!
:)
Answer:
the side opposite to right angle is hypotenuse ,AB is side opposite to thita nd BC is the side adjacent to thita.
What has to be broken before you use it?
Answer:
An egg has to be broken before you use it