1km = 1000 m , thus 56km = 56000 m
1hr = 60 mins
1min = 60 secs, therefore 60 mins = 60*60 seconds = 3600 seconds = 1hr
so then, we know the car travels 56000 meters in 3600 secs, how many seconds will that be for 300 meters?
[tex]\begin{array}{ccll} meters&seconds\\ \cline{1-2} 56000&3600\\ 300&x \end{array}\implies \cfrac{56000}{300}=\cfrac{3600}{x}\implies \cfrac{560}{3}=\cfrac{3600}{x} \implies 560x=10800 \\\\\\ x = \cfrac{10800}{560}\implies x = \cfrac{135}{7}\implies x \approx 19.286\implies \stackrel{\textit{rounded up}}{x = 19}[/tex]
Question 19
A game consists of black and white pieces. The number of black pieces is 5 more than 3 times the white pieces. Seven white and 15 black pieces are removed each round. After several rounds, there are 3 white and 56 black pieces left. How many pieces were there in the beginning?
A. 52
B. 158
C. 210
D. 213
E. 218
Answer:
D. 213Step-by-step explanation:
The number of black pieces is 5 more than 3 times the white pieces:
b = 3w + 5Let the number of rounds is x.
Initial number of white nd black pieces:
w = 7x + 3b = 15x + 56Substitute the values of b and w into first equation and find the value of x:
15x + 56 = 3(7x + 3) + 515x + 56 = 21x + 146x = 42x = 7Find the number of pieces:
w = 7*7 + 3 = 52b = 3*52 + 5 = 161w + b = 52 + 161 = 213Correct choice is D
Answer:
A game consists of black and white pieces. The number of black pieces is 5 more than 3 times the white pieces. Seven white and 15 black pieces are removed each round. After several rounds, there are 3 white and 56 black pieces left. How many pieces were there in the beginning?
A. 52
B. 158
C. 210
D. 213
E. 218
Use the Distributive Property to expand 3(6x-4y)-8
Answer:
[tex]18x - 12y -8[/tex]
Step-by-step explanation:
Distribute property means that [tex]a(b+c)=ab+ac[/tex]
Meaning that you will have to multiply 3(6x) and 3(-4y)
3(6x) = 18x and 3(-4y) = -12y and because -8 isn't inside the parenthasis we don't multiply 3 and -8
which option would be correct?
Answer:
similar by angle angle similarity property.
Step-by-step explanation:
they have the right angles, and then the two vertical angles.
:))
m∠BAC = ?
A.) 15
B.) 30
C.) 45
D.) 60
Answer:
B.) 30°Step-by-step explanation:
We know from the property of 30°x60°x90° right triangle:
The hypotenuse is twice the leg which is opposite to 30 angle.We see AC = 2*BC, therefore:
m∠BAC = 30°Correct choice is B
The ratio of angles is directly proportional to the ratio of sides
<B=90°The ratio of sides here is 1:1/2:1
Now
m<BAC be x[tex]\\ \sf\longmapsto 2x+x=90°[/tex]
[tex]\\ \sf\longmapsto 3x=90[/tex]
[tex]\\ \sf\longmapsto x=30[/tex]
Factor -4 out of -8k - 12
Answer:
-4(2k + 3)
Step-by-step explanation:
Factoring is just dividing the whole thing by that
So -8k - 12 becomes -4(2k + 3)
A.what is biology
b.what is sciences
how many prime numbers are multiples of 8
Step-by-step explanation:
four prime numbers..,..,,
Find the measure of the supplement of an angle that measures 72º.
O 18°
O 36°
O 72°
O 108°
Mr. Peate is building a rectangular fence around his house. The fence will be 32 feet long and 29 feet wide. What will be the perimeter of the fence? The perimeter will be ?
Answer:
112
Step-by-step explanation:
32*2+29*2=112
I=8x4-3x3+5x2+1000x , determine la Utilidad Marginal evaluándola para 20 unidades.
Answer:
5
Step-by-step explanation:
yeah idek what you said I just need the points please write in English next time but I see something a about marginal
is 1/4 to the 0 power bigger then 1
Answer:
1/4 to the 0 power is equal to 1. Therefore, it is not bigger than 1
what is the domain of the relation below?
Answer:
The domain of a relation is the set of all first coordinates (x-coordinates) of the ordered pairs. The range of a relation is the set of all second coordinates (y-coordinates) of the ordered pairs.Step-by-step explanation:
Answer:
A - {-1, 0, 1, 3}
Step-by-step explanation:
the domain is how far the relation stretches across the x axis. the points here are -1, 0, 1, and 3, so that is the domain
Identify the type of function graphed to the right.
o linear
exponential
other
As x increases by 1 unit, what is the exponential
growth factor?
9514 1404 393
Answer:
exponentialgrowth factor 3Step-by-step explanation:
If the function showed linear growth, it would be a straight line. Since it curves upward, it will be either "exponential" or "other." The growth factor seems more or less constant, so we can claim the curve to be exponential.
When x=1, y=1; when x=2, y=3. The increase in x by 1 unit causes the value to grow by a factor of 3/1 = 3. When x=3, y=9, which is growth by another factor of 3. The growth factor is 3.
Answer:
Am working on that too this is for everyone! here you go
Step-by-step explanation:
Edge 2021!
problem referred below
Answer:
Step-by-step explanation:
(f/g)(-4) = (-4² - 13) / (4 - (-4)) = 3/8
Please Help me Solve this question
Answer:
Step-by-step explanation:
Correct Answer: C
We can rely on the guess and check method to easily solve this problem. Let’s first pick arbitrary values of x and y to eliminate some answer choices.
Let’s consider the case where |x| and let x = 3 and y = -10.
Because x/y = -3/10 < 1, answer choice A is incorrect.
Because |x|2 = (3)2 = 9 and |-10| = 10, we have that |x|2 < y, so answer choice B is also incorrect.
Because x2 + 1= (3)2 + 1 = 10 and y2 + 1 = (10)2 + 1 = 101, we have that x2 + 1 < y2 + 1, so answer choice D is also incorrect.
Now, let’s consider the case where |x|>|y| and let x = 3 and y = -2.
Then, x-2 = 1/x2 = 1/9 and y-2 = 1/y2 = 1/4. This means that x-2 < y-2 , so answer choice E is also incorrect.
This means that answer choice C is correct. We can manipulate the inequality to see why this is true: (x/3 – 5) > (y/3 – 5)
We add 5 to both sides: x/3 > y/3
We multiply both sides by 3: x > y.
We know this is true since we are given that x > 1 > -1 > y, which simplifies to x > y.
A principal is choosing between two field trips. The first cost $240 plus $40 per student. The second costs $600. For what number of students is the first trip more expensive than the second?
Answer:
If there are 9 students attending then both field trips will cost the same. If there are more than 9 students attending then the second one cost cheaper.
Step-by-step explanation:
240 + 40x = 600
- 240 -240
40x = 360
40x/40 = 360/40
x = 9 students
7.
"iş, oluş, durum bildiren köklere fiil kökü denir. Fill
kökleri -mek / -mak mastar eki ile anlamlı şekilde
söylenir."
Açıklamaya göre verilen sözcüklerden hangisi-
nin kökü fiil değildir?
A) evim
B) seçim
C) giyim
D) verim
Answer:
ABWJRIRISBDBDBHSHS
Step-by-step explanation:
Hatdog HWHWHWHSHSHSQIWIW
Flying against the wind, a jet travels 2190 miles in 3 hours. Flying with the wind, the same jet travels 9520 miles in 8 hours. What is the rate of the jet in still air and what is the rate of the wind?
Answer:
Velocity of jet in still air is 970 miles per hour and velocity of wind is 210 miles per hour.
Step-by-step explanation:
Jet's velocity against wind is
3040/4 = 760 miles per hour and flying with wind it is
8260/7 = 1180 miles per hour.
Let the velocity of jet in still air be x miles per hour and velocity of wind be y miles per hour.
As such its velocity against wind is x − y and with wind is x + y and therefore
x − y = 760 and x + y = 1180
Adding the two 2 x = 1940 and x = 970 and y = 1180 − 970 = 210
Hence velocity of jet in still air is 970 miles per hour and velocity of wind is
210 miles per hour.
Actual Answer:
https://socratic.org/questions/flying-against-the-wind-a-jet-travels-3040-miles-in-4-hours-flying-with-the-wind
At a high school, the probability that a student is a senior is 0.20. The
probability that a student plays a sport is 0.15. The probability that a student
is a senior and plays a sport is 0.05.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
0.25
0.15
0.05
0.33
Answer:
0.05
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
Got it right
Can u tell answers of all the given questions? Plz
please help me !
• don’t use this for points, or send any gross links.
• if you actually KNOW the answer, please do comment / help me!
this is: KS3 — YEAR 8 ! ❤️
TICKET MONEY for age 16 and over,
155-49 =106
1 person pays £18.60
106 = 106 × £18.60
=£1,971.6
TICKET MONEY for under 16
1 person pays £12.80
49 people =49 × £12.80
= £627.2
TOTAL NUMBER OF TICKETS
£ 1,971.6 + £6272.2
= £2,598.8
7.
Identify the vertex of the parabola.
A. (1, 2)
B. (−2, −1)
C. (−1, −2)
D. (−3, 2)
Answer: I can't find the answer :(
B. (−2, −1)
Step-by-step explanation: I don't know :(
From when I am looking at the graph it looks like the answer would be
P= (-2, -1)
Q= (1, -2)
write the percent as a decimal .84
Answer: 84%
Step-by-step explanation:
Find the equation of the line shown below
Y=mx+c
Answer:
y = -1/4x + 2
Step-by-step explanation:
1. First you find m. Because the line is slanting downwards, you know it is negative. Then you can find the number by looking at the rise over run (rise/run). We can go up 1 (rise) and then to the side 4 (run). We go to the right side 4 because that is where the line intersects with up 1. So because the rise goes over the run, the number would be 1/4. But remember that it is negative so m = -1/4
2. Now we have to find c. For this you just have to go up or down the y-axis until you find the point where it intersects with the line. On this graph it intersects on positive 2. So c = + 2
What is a circle define and illustrate The following in figures
Answer:
Circle is a closed geometric figure having an infinite number of sides.
Step-by-step explanation:
A circle ⭕ has infinite number of sides want to know how then try and experiment.
First draw a pentagon of five sides, then a hexagon of six sides and keep on increasing the number of sides and then you will notice the shape being close of a circle.
pa sagot po ty po sa sasagot
Answer:
An account-ant
Step-by-step explanation:
If the length of the rectangle is thrice its breadth and breadth is 7 cm. find the perimeter...
Step-by-step explanation:
breath=7
lenghth=3(7)
=21
perimeter of rect=2(l+b)
=2(21+7)
=56
evaluate the expression 5+3
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
5 + 3 = 8
-Lexi
Justin traveled 70 miles from Boston to Hyannis in 1 hr and 45 minutes. He then traveled 10 more miles from Hyannis to Dennisport in 30 minutes.
What was Justin’s average speed on his was from Hyannis to Dennisport?
What was Justin’s average speed on his trip from Boston to Dennisport?
Justin’s average speed on his was from Hyannis to Dennisport will be [tex]20[/tex] miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.
What is average speed ?Average speed is s the total distance traveled by the object in a particular time interval.
Average speed [tex]=\frac{Total\ Distance}{Total\ Time}[/tex]
We have,
Distance from Boston to Hyannis [tex]=70[/tex] miles
Time from Boston to Hyannis [tex]=1\ hr\ and \ 45\ minutes = 105\ minutes[/tex]
Distance from Hyannis to Dennisport [tex]=10[/tex] miles
Time from Hyannis to Dennisport [tex]=30[/tex] minutes
So,
Total distance travelled [tex]=70+10=80[/tex] miles
Total time taken [tex]=105+30=135\ minutes[/tex]
[tex]= \frac{135}{60} \ hours= \frac{9}{4}\ hours[/tex]
So,
Average speed on his was from Hyannis to Dennisport [tex]= \frac{10}{\frac{30}{60} }[/tex]
[tex]=\frac{60}{3}=20[/tex] miles per hour
And,
Average speed on his trip from Boston to Dennisport [tex]=\frac{80}{\frac{9}{4} }[/tex]
[tex]=35\frac{5}{9}[/tex] miles per hour
Hence, we can say that Justin’s average speed on his was from Hyannis to Dennisport will be [tex]2[/tex]miles per hour and average speed on his trip from Boston to Dennisport will be [tex]35\frac{5}{9}[/tex] miles per hour.
To know more about Average speed click here
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How many lines of symmetry does the figure have?
A. 1
B. 5
C. 2
D. 0
Answer:
B. 5
Step-by-step explanation:
Kind of hard to explain why
Answer: B. 5
Step-by-step explanation: The tiny lines on the sides of the pentagon are the lines of symmetry