The average speed, in miles per hour, of the car for the 20 miles is 37.5 mph
Average speedAverage speed v = d/t where
d = total distance and t = total timeMaking t subject of the formula, we have
t = d/v
Time to cover first 10 milesNow when the car travels 10 miles at an average speed of 30 miles per hour,
d = 10 mi and v = 30 mph.So, t = d/v
= 10/30
= 1/3 h
Time to cover next 10 miles
Also, when the car travels the next 10 miles at an average speed of 50 miles per hour,
d' = 10 mi and v' = 50 mph.So, t' = d'/v'
= 10/50
= 1/5 h
Time to cover 20 miles
The total time for the 20 miles is T = t + t'
= 1/3 h + 1/5 h
= (5 + 3)/15 h
= 8/15 h
Average speed for 20 miles
So, the average speed for the 20 miles is v = D/T where
D = 20 miles and T = 8/15 h.So, v = D/T
v = 20 mi ÷ 8/15 h
v = 20 × 15 mi/8 h
v = 2.5 × 15 mi/h
v = 37.5 mph
So, the average speed, in miles per hour, of the car for the 20 miles is 37.5 mph
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In the data set below, what is the interquartile range?
15
24
34
34
36
60
70
73
87
91
91
95
18. A variety of species of Galapagos finches evolved from one original species long ago through the process of A. as reproduction B. ecological succession C. natural selection D. selective breading
Pls help will give brainlest
c , Natural selection is the process where species evolved over time through trying to adapt their environment.
Based on the graphs of the equations y = –2x + 3 and y = x2 – x + 1, the solutions are located at points:
(0.5, 0.75) and (1, 1)
(–2, 7) and (0, 1)
(0, 1) and (0.5, 0.75)
(–2, 7) and (1, 1)
The solutions of the equations are the point of intersection of the equations
The solutions are located at points (-2,7) and (1,1)
How to determine the solutions?The equations are given as:
y = –2x + 3 and y = x2 – x + 1
Next, we plot the graph of both equations
From the graph of the equations (see attachment), we have the solution to be:
(x,y) = (-2,7) and (1,1)
Hence, the solutions are located at points (-2,7) and (1,1)
Read more about system of equations at:
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Answer:
D.
(–2, 7) and (1, 1)
Step-by-step explanation:
I took the algebra exam
In a group of 42 students, 10 study both Art and Biology.
13 study Biology but not Art.
7 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
in a group of 42 students 10 students study both, 13 study only biology and 7 study neither of the subject.
to find:the probability of the students who studies art and biology.
solution:A= students study art
B= students study biology
N=42
n (ANB)= 10
n (A'NB)= 13
n (A'NB')= 7
the number of students who study only art:
n (ANB')= N- n(ANB) - n(A'NB) - n(A'NB')
= 42.10 - 13 - 7
= 12
the number of students who study only art:
= 16
p (ANB)= n (ANB)/N
= 10/40
= 0.238
probability the student who studies art and biology is 0.238.
haven’t done this for awhile. I’m confused
Answer:
—8, —5, —2, 1, 4
Step-by-step explanation:
Check out the attached photo
-2/3 + [3/5 + -5/7]
HELP
Answer:
[tex]=-\frac{82}{105}[/tex]
Step-by-step explanation:
[tex]-\frac{2}{3}+\left[\frac{3}{5}+\left(-\frac{5}{7}\right)\right][/tex]
[tex]\frac{3}{5}+\left(-\frac{5}{7}\right)[/tex]
[tex]=-\frac{4}{35}[/tex]
[tex]=-\frac{2}{3}-\frac{4}{35}[/tex]
[tex]=-\frac{82}{105}[/tex]
[tex]\huge\text{Hey there\bf!}[/tex]
[tex]\mathsf{-\dfrac{2}{3} + [\dfrac{3}{5} + -\dfrac{5}{7}]}[/tex]
[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} + - \dfrac{5}{7}}[/tex]
[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} - \dfrac{5}{7}}[/tex]
[tex]\mathtt{-\dfrac{2\times35}{3\times35} + \dfrac{3\times21}{5\times21} - \dfrac{5\times15}{7\times15}}[/tex]
[tex]\mathtt{= -\dfrac{70}{105} + \dfrac{63}{105}- \dfrac{75}{105}}[/tex]
[tex]\mathtt{= \dfrac{-70 + 63 - 75}{105 + 0 - 0}}[/tex]
[tex]\mathtt{= \dfrac{-7 - 75}{105 - 0}}[/tex]
[tex]\mathtt{= \dfrac{-82}{105}}[/tex]
[tex]\mathtt{= -\dfrac{82}{105}}[/tex]
[tex]\huge\text{Therefore your answer should be:}[/tex]
[tex]\huge\boxed{\mathtt{\mathtt{= -\dfrac{82}{105}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Brainliest and 50 points
are the polygons similar?
A) no; there is not a consistent ratio
B) yes; the scale factor from ADKG to WMLZ is 3/4
C) yes; the scale factor from ADKG to WMLZ is 3/2
D) yes; the scale factor from ADKG to WMLZ is 2/3
Answer:
A) no; there is not a consistent ratio
Step-by-step explanation:
If the polygons are similar than the corresponding sides will have similar ratios.
The corresponding sides of the polygons are (AD and WM) and (DK and ML)
The ratio from AD to WM is 6/4 or 1.5 and the ratio to DK to ML is 8/6 or 1.33
The corresponding sides do not have a common ratio therefore the polygon is not similar
What is the difference between 3/4 and 1 1/2
Answer:
3
Step-by-step explanation:11/2 = to 6/2 so the diffrence is 3 im geussing
____________________
Answer:
The solution is 215/2
Step-by-step explanation:
2×21,5÷2/5
= 2×43/2×5/2
= 43/2×5
= 215/2
= 107 1/2
PLS HELP THIS IS DUE TOMMROW
Write the prime factorization of the
numerator and denominator of this
fraction. Then reduce the fraction.
420
630
(Question 18 on the pic)
I WILL MARK AS BRAINLYEST AND GIVE POINTS
Answer:
Reducing 420/630
420/630 = (?)
420/630 = (2 x 2 x 3 x 5 x 7)/(2 x 3 x 3 x 5 x 7) How i got this is explained at the bottom*
= 2/3
420/630 = 2/3
The simplest form of 420/630 is 2/3
2/3 is the lowest term of 420/630.
Prime FACTORING:
This should help for visuals for 420:
420
| \
210 2
| \
105 2
| \
35 3
| \
7 5
This should help for visuals for 630:
630
| \
315 2
| \
105 3
| \
35 3
| \
7 5
PLS HELP
it is the last question ignore the lesson and pg number ;)
Answer:
Step-by-step explanation:
whats the answer need it quick
[tex] \huge\fbox\green{ANSWER} [/tex]
[tex] \huge \mathsf \orange{4 \: turning \: points}[/tex]
A grocery store polls every twentieth customer to determine if they are satisfied with the cleanliness of the store. Forty customers are surveyed, and 26 are satisfied. What conclusion can be drawn for the 800 daily customers?
The books namely Math, English, Arabic, Physics, and Chemistry are arranged in the rack by the librarian. What is the probability of Math book will be kept in first place?
Answer:
P(4,4) / P(5/5) = 1/5
Step-by-step explanation:
Total possibility:
All the 5 books can be arranged in a rack with P(5,5)=5! ways
Favorable Possibility:
Math book is kept in a first place, it mean that it is fixed
So remaining 4 books and that can be arranged in P(4,4)=4! ways
Hence,
Probability= number of favorable cases / total number of possibilities
Probability = P(4,4) / P(5,5) = 4! / 5! = 1/5
LA=
Round your answer to the nearest hundredth.
Answer:
48.81
Step-by-step explanation:
Since we are given a right triangle, and we are trying to find a angle, we use the
SOH-CAH- TOA.
In relation to the angle, we know a side opposite of the angle and the side adjacent to the angle.
We use Tangent, which states that
[tex] \tan(x) = \frac{o}{a} [/tex]
Here the opposite side is 8
The adjacent side is 7.
[tex] \tan(x) = \frac{8}{7} [/tex]
Take the Inverse Tangent,
[tex] \tan {}^{ - 1} (( \tan(x) ) = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]
[tex]x = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]
Which gives us 48.81
Answer:
∠ A ≈ 48.81°
Step-by-step explanation:
using the tangent ratio in the right triangle
tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{7}[/tex] , then
∠ A = [tex]tan^{-1}[/tex] ( [tex]\frac{8}{7}[/tex] ) ≈ 48.81° ( to the nearest hundredth )
24.2 16.9 6.7 Per. =
Check the picture below.
help me solve please show steps
There can be several possibilities and causes
y>2x-1
Then line will be dashed and solution region to be shaded.y<2x-1
Same like beforey≤2x-1
Solid line should be done and shading the solution regiony≥2x-1
Same like beforey=2x-1
A straight line and no shadingCredit: Mister Brainly
There can be several possibilities and causes:
y>2x-1
Then line will be dashed and solution region to be shaded.
y<2x-1
Same like before
y≤2x-1
Solid line should be done and shading the solution region
y≥2x-1
Same like before
y=2x-1
A straight line and no shading
As the planets revolve around the Sun, sometimes Earth is between the Sun and Mars (Point A) and sometimes the Sun is between Earth and Mars (Point B). The distance from the Sun to Mars is approximately 2.3 times 10 Superscript 8 km, and the distance from the Sun to Earth is approximately 1.5 times 10 Superscript 8 km.
The rotations of Earth and Mars around the sun.
Which statements are true? Check all that apply.
Answer:
ummmm i think its B and D
Step-by-step explanation:
How many unique triangles can be draw waith side lengths id 12 cm and 16 cm, and a 50 degree included angle?
Answer:
the answer for this question is 1
how many periods of the function y=tan x are there between -3pi/4 and 5pi/4? need help ASAP
Answer:
2
Step-by-step explanation:
Using the graph of tanx attached, we know that each period starts and restarts after each π. I've contrasted the periods of the functions in blue versus what we have between the two points in green.
From -3π/4 to 5π/4, we have.....
1/4 of a period
1 full period
3/4 of a period
1/4 + 1 + 3/4 = 2 periods
I hope this helps!
Help!!!
I need help
Answer:
x = 109°
Step-by-step explanation:
x = 64+45 = 109°
it looks simple, but that's the answer
In a bag there are 2 red marbles, 3 white marbles and 5 blue marbles. Once a marble is selected, it is NOT replaced. Find the P(Blue then Red). Write your answer as a percent rounded to the nearest whole number.
Answer:
For each draw, it is the number of that color, divided by the total number of marbles. For more than one draw, just multiply the fractions.Take a look at what I did. It should become clear.
Step-by-step explanation:
Ada got a new puppy for Christmas. She went to the pet store to buy the
things she needed for her puppy. She bought a collar for $18.37, an
identification tag for $15.67, a chew toy for $8.23, puppy shampoo for
$19.26, and a food and water dish for $21.28. The pet store gave her an
$7.50 discount for spending more than $50.00. How much did Ada spend
altogether?
Answer:
Hope it helps you.
what is the slope of y = 15x + 5
Answer:
15
Step-by-step explanation:
from equation y= mx+c
we can equate m (slope/gradient) to 15
write an expression that has the same value of 5 to the power of 4
Answer:
5x5x5x5
Step-by-step explanation:
The expression that has the same value as [tex]5^4[/tex] is 25² or 625.
What are Exponents and powers?Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.
The number of times a given integer is multiplied by itself is represented as an exponent.The expression obtained by multiplying a number by itself n times is known as the nth power of the supplied integer.We have [tex]5^4[/tex].
Usually exponents can be expand using the number the power is raised.
As, if we have 9³ then it means 9 is multiplies by itself three times.
So, 9³ = 9 x 9 x 9= 729
Now, we have to expand [tex]5^4[/tex] as
= 5 x 5 x 5 x 5
= 5² x 5²
= 25 x 25
= 25²
= 625
So, the Equivalent value to [tex]5^4[/tex] is 25² or or 5² x 5² or 625.
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If PQ || SR and PQRS is an isosceles trapezoid,
find m<1
Answer: B
Step-by-step explanation:
Help please
10(5-n)-1=29
Hey there!
10(5 - n) - 1 = 29
10(5) + 10(-n) - 1 = 29
50 - 10n - 1 = 29
49 - 10n = 29
-10n + 49 = 29
ADD 49 to BOTH SIDES
-10n + 49 - 49 = 29 - 49
WORK IT OUT or SIMPLIFY IT!
NEW EQUATION: -10n = -20
DIVIDE -10 to BOTH SIDES
-10n/-10 = -20/-10
WORK IT OUT or SIMPLIFY IT AS WELL!
n = 2
Therefore, your answer is: n = 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
n=2
Step-by-step explanation:
Step #1. Distribute the 10 to (5-n) which is 50-10n
Step #2. Simplify. 50-10n-1= -10n+50-1= -10n+49=29
Step #3. Subtract. -10n+49-49=29-49
Step #4. Simplify again. -10n = -20
Step #5. Divide. -10n/-10= -20/-10
Step #6. Simplify again. n=2
There you have it! N is equal to 2! please mark be as brainliest if you can.
Hope this helps!
If f(x) = 3x^5 + 4x^4 + 5, then what is the remainder when f(x) is divided by
X + 3?
Answer:
remainder: -400
Explanation:
[tex]\sf f(x) = 3x^5 + 4x^4 + 5[/tex]
divided by x + 3
x + 3 = 0x = -3insert x = -3 in the function
[tex]\sf f(x) = 3(-3)^5 + 4(-3)^4 + 5[/tex]
[tex]\sf f(-3) = -400[/tex]
Kyle designs and conducts a computer simulation with 25 trials and uses the data to create the relative frequency bar graph shown. The graph shows the relative frequency of number rolls needed of a number cube in order to roll all of the odd numbers. According to the results of the simulation, what is the experimental probability that 6 or fewer rolls are needed to roll all of the odd numbers? Express your answer as a percent.
Answer:
thirty-six, thirty six, 36%, thirty-six percent, thirty six percent, or 36 percent
What is the LCD of 6,4,3,42.?
Answer:
84 is the smallest number that is evenly divisible by 6, 4, 3, & 42 without a remainder.
84 ÷ 6 = 14
84 ÷ 4 = 21
84 ÷ 3 = 28
84 ÷ 42 = 2