Answer:
The total distance he drove is 350 miles, with an average speed of 46.67 miles/hour.
Step-by-step explanation:
Let [tex]t_1[/tex] and [tex]t_2[/tex] be the time of driving at a slower rate and at a faster rate respectively.
Given that the total distance = d
The speed for the first 150 miles = 60 miles/hour.
So, [tex]150=60\times t_1[/tex] [ as distance = speed x time]
[tex]\Rightarrow t_1=2.5[/tex] hours.
The remaining distance [tex]= d-150[/tex] miles.
Speed for the remaining distance = 60 miles/hour.
As the time he spent driving at the faster speed was twice the time he spent driving at the slower speed,
So, the time of driving at a faster rate, [tex]t_2 = 2t_1=2\times2.5=5[/tex] hours
So, [tex]d-150=60\times t_2[/tex] [ as distance = speed x time]
[tex]\Rightarrow d-150=20\times 5=100[/tex]
[tex]\Rightarrow d = 100+150=350[/tex] miles.
The average speed of the journey = (Total distance)/(Total time taken )
[tex]=d/(t_1+t_2)[/tex]
=350/(2.5+5)
=350/7.5
=46.67 miles/hour.
Hence, the total distance he drove is 350 miles, with an average speed of 46.67 miles/hour.
Jack sells cars. Last year he sold 30 cars. The next year Jack sold 48 cars. What is the percent of change?
Answer:
60% increase
Step-by-step explanation:
Take the new minus the original
48-30 = 18
Divide by the original
18/30
.6
Change to percent form
60% increase
Solve for x: 7x + 15 = 38
twenty-three sevenths
fifty-three sevenths
23
53
17. Find the value of x to
make the following equation
true.
n
Answer:
- 2
Step-by-step explanation:
Step 1:
[tex]\frac{n^{10} }{n^{12} }[/tex] = [tex](n^{x})^{1}[/tex] Equation
Step 2:
[tex]n^{10 - 12}[/tex] = [tex](n^{x}) ^{1}[/tex] Subtract the exponents
Step 3:
[tex]n^{-2}[/tex] = [tex](n^{x})^{1}[/tex] Subtract
Answer:
x = - 2
Hope This Helps :)
I am stuck.can you solve it please.
Step-by-step explanation:
what i advice u is read about chords ,secant line ,diameter ,radius ,tangent line, inscribed angle, central angle
hope it helps
for any question comment me ❤❤❤
The formula to convert, temperature measured in degrees Celsius, C, to
temperature measured in degrees Fahrenheit, F, is below. F = 9/5 (C) + 32
Mariah records the outside temperature to be 15° Celsius. What is the
temperature, in terms of degrees Fahrenheit?
A. 35
B. 59
C. 47
D. 40
Answer:
The answer is B, 59.
Explanation
1) Subsitute 15 for C.
2) Multiply 15 by 9/5. That leaves you with 27.
3) Finally, add 32 to 27. You get 59.
:) Hope this helps
A tape diagram. There are 65 students out of 100 students who ride the bus. There are question mark students out of 800 students who ride the bus. 65% of the 800 students at North High School ride the bus. How many students ride the bus? 100 multiplied by is equal to 800. 65 multiplied by is equal to . out of students ride the bus.
Answer:
answer one is 8
answer two is 8
answer three is 520
answer four is 520
answer five is 800
Step-by-step explanation:
There are 520 students out of 800 ride the bus,
65% of 800 is 520,
100 multiplied by 8 is 800.
What are ratios and proportions?The majority of the explanations for ratios and proportions use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.
Given,
1: There are 65 students out of 100 students who ride the bus. There are question mark students out of 800 students who ride the bus.
let x student out of 800 rides the bus
so both conditions 65/100 and x/800 are in proportions,
65/100 = x/800
x = 800*65/100
x = 520
2: 65% of the 800 students at North High School ride the bus.
65% of 800 = 65/100 x 800
65% of 800 = 520
3: 100 multiplied by is equal to 800.
let x multiplied by 100 is 800
x*100 = 800
x = 800/100
x = 8
Hence 520 students out of 800 ride the bus,
65% of 800 is 520,
100 multiplied by 8 is 800.
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PLESAE HELP NOW!!
Points (−6, 3) and (−6, −3) on the coordinate grid below show the positions of two dogs at a park:
Which statement best describes the relationship between the positions of the two players?
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the y-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the x-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Dog 1's position is Dog 2's position reflected across the y-axis; only the signs of the x-coordinates of Dog 1 and Dog 2 are different.
Answer:
Ok so what you would do is find -6,3 and -6,-3 on the grid and pinpoint them.
Step-by-step explanation:
Have a brainly day!!
Find the slope between the given points. REMEMBER: Slopes must be simplified.
(8,3) and (-5,3)
Answer:
Slope = 0
Step-by-step explanation:
Slope = 0/-13 = 0
What is the slope of the line that passes through the points (4, 6) and
(-16, -18)?
Answer:
-3 / 5
Step-by-step explanation:
18-6 / -16-4
12 / -16-4
12 / -20
-3 / 5
You start at (7, 2). You move up 5 units. Where do you end?
Answer:
(7,7)
Step-by-step explanation:
Because going up would be moving along the y-axis, then you would add 5 to the Y value which was 2 so therefore, if you move up 5 you'll be at (7,7).:)
Answer:
(7,7)
Step-by-step explanation:
The second number is the y value so you add five to two and you get seven.
Somebody who remembers how do to this plz answer all the questions correctly thanks so much!!!!
(WILL MARK AS BRAINLIEST)
:D
28. 0.16 (add a line above 6)
29. 0.45 (add a line above 45)
30. 0.4 (add a line above 4)
31. 0.27 (add a line above 7)
32. 0.037 (add a line above 037)
33. 0.045 (add a line above 45)
34. 0.27 (add a line above 27)
35. 0.148 (add a line above 148)
36. 0.16 (add a line above 6)
37. 2.83 (add a line above 3)
Why?
Just divide the 1st number by the last numberb and if the numbers repeat at the end, add a line above them!
Someone please help
9514 1404 393
Answer:
622
Step-by-step explanation:
The n-th term of an arithmetic sequence is given by the formula ...
an = a1 +d(n -1)
where a1 is the first term (6), and d is the common difference (14-6=8).
Then the 78th term is ...
a78 = 6 + 8(78 -1) = 6 + 616 = 622
The 78th term is 622.
help! thank you so much
Answer:
There are no solutions. Hope this helps! :)
Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour. He traveled for a total of 3 hours. The equation 3t = 5(3 – t) can be used to find the time it took Stu to hike one way. How long did it take Stu to hike the trail one way? hours How long is the trail? miles What is the total distance Stu travelled? miles
Answer:
Time taken to travel at 3 miles = 1.875
Time taken to travel at 5miles = 1.125
Total distance = 11.25
Step-by-step explanation:
D = speed x time
Time = distance/speed
Time at 3 miles per hour and 5 miles per hour
T1 = d/3
T2 = d/5
Total time = 3 hours
T1+t2 = 3 hours
d/3 + d/5 = 3
= d(1/2+1/5) = 3
d(5+3/15) = 3
d(8/15) = 3
We cross multiply
8d = 45
d = 45/8
= 5.625 miles
Total distance = 2d
2x5.625 = 11.25 miles
Since d is now known
T1 = 5.625/3 = 1.875 hours also 1 hour 52.5 minutes
T2 = 5.625/5 = 1.125 hours = 1 hour 7.5 minutes
Total distance 2xd = 11.25
Answer:
the answer is
A. 1.875 hours
C. 5.625 miles
D. 11.25 miles
Step-by-step explanation:
magic
1x+2x = what?
Will mark brainiest whatever that mean
Answer:
3x
Step-by-step explanation:
Answer:
3x
Step-by-step explanation:
1+2=3
so 1X+2x=3x
The table shows the results of a survey to choose a new
school mascot.
Vx
Four hundred students participated in the survey.
Which expression would you use to find how many
students voted for the cougar?
What should be the new school mascot?
Cougar
10%
400 - 2
0400 +4
Eagle
15%
0400 - 5
Falcon
0400 + 10
50%
Panther
25%
Intro
Done
Answer:
400 divided by 10 Got it right in the assignment
Answer:400 divided by 10
Step-by-step explanation:
<3
PLEASE HELP ME!
Your health insurance premium is $102.13 each check. You get paid semi-monthly. How much is your insurance premium annually?
A. $2,451.12
B. $2,655.38
C. $1,225.56
D. $102.13
The annually premium for health insurance will be $2,451.12.
Option A is true.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The health insurance premium is $102.13 each check.
And, We get paid semi-monthly.
Hence, Monthly premium = 2 x $102.13
= $204.26
Since, 1 year = 12 months
Thus, The annually premium = 12 x $204.26
= $2,451.12
So, The annually premium for health insurance will be $2,451.12.
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Find the equation of the perpendicular bisect of the given segment by following these steps
1. Determine the slope of the given segment
Answer:
3/2
Explanation: Just did this on Edge
Which transformation of AB will produce a line segment A’B that is parallel to AB
Answer:
Step-by-step explanation:
A
Solve: -3 + 7 -5 + (-10)
Answer:
it is -11 because use the cauculator lol
Answer:
-11
Step-by-step explanation:
use a calculator bruh
Find an equation in standard form of the parabola passing through the points (1, -2), (2, -2), (3, -4)?
9514 1404 393
Answer:
y = -x^2 +3x -4
Step-by-step explanation:
We are given two points with the same y-value, so we know the axis of symmetry lies halfway between their x-coordinates, at ...
x = (1 +2)/2 = 3/2
Then the vertex form of the equation can be written ...
y = a(x -3/2)^2 +k
__
We can use two of the points to find the values of 'a' and 'k'.
For (x, y) = (1, -2)
-2 = a(1 -3/2)^2 +k = a/4 +k
For (x, y) = (3, -4)
-4 = a(3 -3/2)^2 +k = 9a/4 +k
Subtracting the first of these equations from the second, we have ...
(9a/4 +k) -(a/4 +k) = (-4) -(-2)
2a = -2
a = -1
Then k can be found from the first equation.
-2 = -1/4 +k
k = -1 3/4
So, the vertex form equation is ...
y = -(x -3/2)^2 -7/4
__
Expanding this, we can find the standard form.
y = -(x^2 -3x +9/4) -7/4)
y = -x^2 +3x -4
2. Tom Johnson worked 32 hours this week for $9.25 per hour. What is Tom’s gross pay for the week?
Answer:
$296.
Step-by-step explanation:
Gross pay is total pay without deductions, and none were mentioned anyways so $9.25 × 32 = $296.
(oeerivona, please help me! quick!)
which angles of transformed figures have the same measure as ∠c in figure ABC?
Answer:
All of them
Step-by-step explanation:
It looks like the transformations that occurred here are reflections, translations, and rotations which are all rigid transformations. Rigid transformations conserve the angle measurements and side lengths of the corresponding image to the original one.
if 2x+10 does not equal 42 then x does not equal 16
Answer:
I can help if you like actually finished the full question.
Step-by-step explanation:
2(16) + 10 = 42
32 + 10 = 42
if this is a true or false question than this would be true.
What is the equation of the line that passes through the point (-4, 2) and has a
slope of 1/4?
Answer: The equation of the line is y=1/4x + 3
Step-by-step explanation:
To get the equation, you have to set it up:
y=1/4x + b
Plug in the coordinates (-4, 2) next:
2=1/4(-4) + b
Solve:
2= -1 + b
add one on both sides:
3= b
Use the information to get the equation:
y=1/4x + 3
I hope this helps!!
Answer:
dfjhbgvdsasdfgf
Step-by-step explanation:
Henry is following the recipe to make a cake. He has 95 cups of flour. How many cakes can Henry make
Answer
31
Step-by-step explanation:
3 cups in a cake you have 95
95÷3=31 hole cups
2. A(n) __ is an individual number,
figure, or letter in a sequence.
Answer:
term of a sequence
Step-by-step explanation:
can someone pls help me with the question i posted earlier asap pleasee
Answer:
I did so thanks for the points
Step-by-step explanation:
Use Triangle ABC to find the trigonometric ratio.
tan B =
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \tan(B) = \frac{ \sin(B) }{ \cos(B) } = \frac{ \frac{8}{17} }{ \frac{15}{17} } = \frac{8}{15} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The value of Tan(B) will be equal to 8/15.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
The value of Tan(B) will be the ratio of the sides AC and BC. Therefore, the value of Tan(B) can be written as,
Tan(B) = AC / BC
Tan(B) = 8/15
Hence, the value of Tan(B) will be equal to 8/15.
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One of the common factors of 24 and 60 is 6. What is the GCF of 24 and 60? What does the value of the GCF represent?
Answer:
4
Step-by-step explanation:
The GCF of 24 and 60 is 12 and GCF represents the largest of the common factors.
The given two numbers are 24 and 60.
What is GCF?The "Greatest Common Factor" is the largest of the common factors (of two or more numbers).
Now, 24=2×2×2×2×3 and 60=2×2×3×5.
The GCF of 24 and 60 is 2×2×3=12.
Therefore, the GCF of 24 and 60 is 12 and GCF represents the largest of the common factors.
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