Answer:
Jason - 9.375 miles per hour
Kevin -7.875 miles per hour
Step-by-step explanation:
Let Jason’s running speed be x miles per hour
Kevin runs 1.5 miles per hour less;
so his running speed will be (x-1.5) miles per hour
At any point, distance = speed * time
Their running time is same here;
Jason’s running time will be 5/x
Kevin’s running time will be 4.2/(x-1.5)
These times are equal;
So;
5/x = 4.2/(x-1.5)
5(x-1.5) = 4.2x
5x - 7.5 = 4.2x
5x-4.2x = 7.5
0.8x = 7.5
x = 7.5/0.8
x = 9.375 miles per hour
So kevin’s speed will be 9.375 - 1.5 = 7.875 miles per hour
wegnerkolmp2741o can you please answer this I will mark brainliest
An isosceles triangle has two 5.5 cm sides and two 32.4° angles. Explain how to determine the perimeter of the triangle. Include a diagram in your solution. You do NOT need to solve.
Answer:
see below
Step-by-step explanation:
The drawing in blue is what we are told in the problem.
We are given two sides and two angles. It is an isosceles triangle with two equal sides and two equal angles. Draw a perpendicular bisector ( it makes a 90 degree angle. Now we have two identical right triangles. We can use trig functions to find x
cos theta = adj/ hyp
cos 32.4 = x / 5.5
Solving for x
5.5 cos 32.4 =x
Now we have 2x for the third side of the triangle
2( 5.5 cos 32.4) is the third side
P = 5.5 + 5.5 + 2( 5.5 cos 32.4)
Answer:
See the Below
Step-by-step explanation:
Draw a circle with a radius of 5.5 and center at A.Take any point B on the circle and join AB.Draw a line thru B making an angle 32.4 with AB which intersects the circle at D. Extend AD on both sides.Draw two circles with a radius of 5.5cm and centers B and D which intersect the line BD at E and F.Measure length EF, which is the perimeter of triangle ABD.=20.3 cm.Method 2. Assume that base of the triangle =x cm.x/2= 5.5 cos 32.4 and x=11*cos 32.4 =11*0.844=9.287Perimeter = 20.287If f(x) = 4x - 3 and g(x) = x + 4, find (f-g)(x).
A. 3x-7
B. 5x-1
C. 5x - 7
D. 7 - 3x
9514 1404 393
Answer:
A. 3x -7
Step-by-step explanation:
Substitute for f and g, then collect terms.
(f -g)(x) = f(x) -g(x) = (4x -3) -(x +4)
(f -g)(x) = 4x -3 -x -4 = (4-1)x +(-3-4)
(f -g)(x) = 3x -7
5(a^6+2a^5)-6a(5a^4-7a^3)
Answer:
a4(5a2−20a+42)
Step-by-step explanation:
Factor 5(a6+2a5)−6a(5a4−7a3)
5a6−20a5+42a4
=a4(5a2−20a+42)
Make me brainliest!
What is the value of z in the equation 3z+9=z?
Which of the following expressions are equivalent to 63? Check all that are true.
Answer:
A & E
Step-by-step explanation:
Main equation: [tex]6^{3} = 216[/tex]
A. [tex]\frac{6^{7} }{6^{4}} = 6^{3} = 216[/tex]
B. 18
C. [tex](6^{1})^{2} = 36[/tex]
D. 81
E. 6 * 6 * 6 = 216
F. [tex]6^{2} + 6^{1} = 36 + 6 = 42[/tex]
Hope this helps!
Please mark as the Brainliest!
For one roadway section, the average number of cars passing a point is 2200 pcphpl (i.e. passenger cars per hour per lane). The cars travel at an average speed of 42 mph. What is the average distance (in feet) between common points (e.g. the front bumper) on successive cars in one lane
Answer:
The average distance between common points on successive cars in one lane is of 100.8 feet.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
The cars travel at an average speed of 42 mph
Each mile has 5280 feet, so in 1 hour, the distance is of 42 miles = 221760 feet.
2200 pcphpl (i.e. passenger cars per hour per lane).
2200 cars in 221760 feet. Thus:
[tex]d = \frac{221760}{2200} = 100.8[/tex]
The average distance between common points on successive cars in one lane is of 100.8 feet.
Motorbikes have two wheels and cars have four wheels. There are a number of
motorbikes and cars in a parking lot. There are 14 motorbikes. Altogether, there are
324 wheels. How many cars are in the parking lot?
A.74 cars
B.148 cars
C.296 cars
D.310 cars
Answer:
74 Cars
Step-by-step explanation:
If each motorbike has 2 wheels then we need to find how many wheels the motorbikes already take up.
We do this by doing 14*2 and we get 28 wheels.
Afterwards, we subtract this from the total of 324 to see how many wheels are left over. 324-28=296
Now we know the remaining amount of wheels and with this we can get our final answer!
Since there are 296 remaining wheels and each car takes up 4 we can divide 296 by 4 to see how many cars would be able to get their full set of tires.
296/4 = 74 and that;s how you get 74 cars!
*I think LOL*
PLease help me with this math qestion
Answer:
n+3 = 15 ; n = 12
3n -6 = 12; n=6
Step-by-step explanation:
more than means it comes after
a number
n
3 more than
n+3
is 15
n+3 = 15
Subtract 3 from each side
n+3-3 = 15-3
n = 12
Subtract from comes after
three times a number
3n
six subtracted from
3n -6
is 12 means equal to
3n -6 = 12
To solve add 6 to each side
3n -6+6 =12+6
3n = 18
Divide by 3
3n/3 =18/3
n =6
Answer:
A = 3 - x = 15 B = 6 - 3 times x = 12
Step-by-step explanation:
Which is a factor of 10?
OA. 40
B. 10
C. 30
D. 20
Answer: B. 10
Explanation: Any number is a factor of itself.
We can rule out choices A, C and D because those values are larger than 10. They are multiples of 10, but not factors of 10.
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer:
132.3328 or 132.33 if you round do the nearest hundredth
Step-by-step explanation:
To find area, just multiply length by width. 14.26x9.28=132.3328
a driver travelled a distance of 864 km in 12 hours what is the speed of car
answer:
speed= 72 km - per • hour
Answer:
Speed of car = 72 km per hour
If x = 0 and y > 0, where is the point (x, y) located?
Answer:
upper half y axis
Step-by-step explanation:
If x = 0 we are on the y axis. If y >0 we are on the upper half of the y axis
PLEASE HELP. Last 3 times I asked people put spam, please do not this is urgent.
WILL MARK BRAINLIEST
Answer:
A) 2^12
Step-by-step explanation:
3x - y = 12
3(5) - 3 = 12
15 - 3 = 12
12 = 12
[tex]\frac{8^x}{2^y}[/tex]
[tex]\frac{8^5}{2^3}[/tex]
[tex]\frac{32768}{8}[/tex]
4096
2^12
What is the awnsers helppppp
Answer: 0.77
Step-by-step explanation:
Answer:
0.23
Step-by-step explanation:
the chart adds up to 1 as a whole so 23% chose football and there is a 23% chance the next person will also choose football.
PLEASE HELP!!!!
WILL MARK BRAINLIEST!!!
Solve for X.
Multiple choice!
Thank you!
Answer:
6x - 21 = 105 (vertically Opposite angles)
6x = 105 + 21
6x= 126
x=126/6
x= 21°
That should be the fifth option
OR
Another Way of solving
(6x - 21) + 75 = 180 ( angles on a straight line)
6x -21 + 75 =180
6x + 54 = 180
6x =180 - 54
6x = 126
x=126/6
x=21°
[tex] \large \sf \star \: \green{Answer} \: \star[/tex]
x = 21 °
Step-by-step explanation:
Here,
Angle 75 ° and ( 6 x - 21 ) are on straight line so it's supplementary angles and we know that sum of all angles of supplementary angles is 180 °.So, 6 x - 21 ° + 75 ° = 180 °6 x - 21 ° + 75 ° = 180 °
6 x + 54° = 180 ° ...( Combine like terms)
subtract 54 ° from each sides
54° - 54° + 6 x = 180 ° - 54 °
6 x = 126°
x = 126 ° / 6 ...( Divide by 6 )
x = 21 °
How do you know the absolute value of a number?
Step-by-step explanation:
It is very simple
Any number's absolute value should be positive
Let's say absolute value of 3 - >answer is 3
But absolute value of - 3 - > is also 3
Hope you understood it.
Answer:
Step-by-step explanation: In order to find the absolute value all you do is see what number you have and turn into an positive, say "what is the absolute value" of -5" it would just be 5,
Hope this helps :)
The size of a large milkshake is 1.4 times the size of a medium milkshake. Write 1.4 as a percent. F u
Answer:
1.4%
Step-by-step explanation:
1.4 = [tex]\frac{14}{1000}[/tex]
=[tex]\frac{14/10}{1000/10}[/tex]
=[tex]\frac{1.4}{100}[/tex]
=1.4%
In 2010 there were 3200 tigers in the wild. In 2016 there were 3890 tigers in the wild. What is the percentage increase?
Step-by-step explanation:
3890 - 3200
=690
(690÷3200) x 100%
=21.56%
Answer:
21.56/ 21.6/ 22 (depending on the decimal places you want)
Step-by-step explanation:
Current figure- original figure / Original figure * 100
3890-3200 = 690
690/3200 = 0.215625
0.215625 * 100 = 21.56 / 21.6 / 22
* means multiply
Which equation best matches the graph shown below?
Answer:
y=0.5(x+6)(x+5)
Step-by-step explanation:
Since the parabola goes upwards as it expands from the vertex, the "a" value is definitely positive so the answer must be either the top-left or bottom-right. Next, use the roots to find the final answer. The roots are on the left side of the y-axis which indicates that they are negative. Now you know that the answer is the bottom-right answer because if both roots are negative, then the expressions must include addition to create 0 which is the y-value at the bases.
in order for the parallelogram to be a rhombus x=?
Answer:
x = 12
Step-by-step explanation:
In a rhombus, the diagonal is also the bisector of the angle, so the two vlaue must be congruent
2x + 35 = 8x- 37
6x = 72
x = 12
How do I solve this math problem? The answer is: x = a^2/a-3
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Find the volume of the prism or pyramid below
Answer:
6.3 Cubic cm
Step-by-step explanation:
[tex]V=A*h=(1.8*1.2+.5*1.1*1.8)*2=6.3cm^{3}[/tex]
2. 5 9. 14. ?. 27
18
20
21
16
Which is the missing number people :)))
Answer:
20
Step-by-step explanation:
The pattern goes
+3, +4, +5, +6, +7...
14+6=20
The missing number is 20
How many ounces in 31/2 pounds
Answer:
248 ounces
Step-by-step explanation:
I hope this helps :D
Answer:
248 ounces is the correct answer hope you will like it and Mark me as BRAINLIEST!!!!
Which inequality about the number line shown below is true
i got it wrong dont lisen to this
Answer:
option D
Step-by-step explanation:
D is equal to 0 that is greater than B which is -2 by theory
simplify the expression (c^7)^9(c^0)^5
Answer:
c^63 Your welcome !!
Step-by-step explanation:
Martin deposits $200 in a savings account that earns 5% annual interest. Four years later, Cary deposits $200 in an account earning the same interest. Let M represent the balance in Martin’s account and let C represent the amount of money in Cary’s account.
Complete question :
Martin deposits $200 in a savings account that earns 5% annual interest. four years later, cary deposits $200 in an account earning the same interest. let m represent the balance in martins account and let c represent the amount of money in carys account. choose the pair of expressions that describe the accounts y years after martin opened his account. martin: 200(1.05)y cary: 200(1.05)y+4 martin: 200(1.05)y+4 cary: 200(1.05)y4 martin: 200(0.05)y cary: 200(0.05)y4 martin: 200(1.05)y cary: 200(1.05)y4 choose the equation that relates the balances in the accounts y years after martin opened his account. c = m(1.05)4y m = c(1.05)4y c = 1.22m m = 1.22c
Answer:
m = m = 200(1.05)^y+4
c = m = 200(1.05)^y
m = 1.22c
Step-by-step explanation:
The future value can be represented as :
Future value, F = P(1 + r)^n
r = interest rate = 5% = 0.05 , n = number of years ;
For Martin :
m = 200(1 + 0.05)^n
For cyan :
c = 200(1 + 0.05)^n
y years after Martin
Cyan opened 4 years after Martin :
Representing in terms of y
Cyan = y ; Martin = y +4
m = m = 200(1.05)^y+4
c = m = 200(1.05)^y
From. Indices :
(1.05)^y+4 = 1.05^y * 1.05^4
Hence,
m = 200 * 1.05^y * 1.05^4
c = 200 * 1.05)^y
Hence,
m = c * 1.05^4
m = c * 1.2155
m = c * 1.22
m = 1.22c
Answer:
the first question is d and so is the second one
6 +7 ( □ +7 5) = 1
help me pls
Answer:
Can't be possible.
Step-by-step explanation:
Given:
6+7(x+75)=1
So according to given equation it can't be possible because when we add some value in 6 their result will be always greater than 1.
In the diagram below of RST. L is a point on RS, and M is a point on RT, such that LM parallel to ST
If RL = 3 LS= 12 LM=7. and ST=x+ 2, what is the length of ST?
Answer:
ST is 28
Step-by-step explanation:
Using the similarity formla
RL/LS = LM/ST
3/12 = 7/x+2
3(x+2)=84
x +2= 84/3
x+2 = 28
x= 28-2
x = 26
ST = x+2
ST = 26+2
ST = 28
Hence the length of ST is 28
Please
Solve for the value of k.
Answer:
k = 13
Step-by-step explanation:
The sum of the angles is 180 since they form a straight line
4k-7 + 90 + 3k+6 = 180
Combine like terms
7k+89=180
Subtract 89 from each side
7k+89-89 = 180-89
7k =91
Divide each side by 7
7k/7 = 91/7
k = 13
