Answer:
(B) 44 miles per hour
Step-by-step explanation:
We are given that
Speed, v1=50 miles/hr
Time, t1=7 hours
Average speed, v2=40 miles/hr
We have to find the average speed per hour for the round trip .
Distance traveled by automobile from one side
d1=[tex]v_1t=50\times 7=350[/tex]miles
d1=d2=350 miles
Total distance=d1+d2=350+350=700 miles
Now,
[tex]t2=\frac{d_2}{v_2}=\frac{350}{40}=8.75 hour[/tex]
Total time=t1+t2=7+8.75=15.75 hours
Now, average speed for the round tripe
=[tex]\frac{total\;distance}{total\;time}[/tex]
=[tex]\frac{700}{15.75}=44.4\approx 44[/tex]miles/hr
Hence, option (B) is correct.
Need help on this!!! 6 points!!!
Answer:
it appears to be FALSE....
f(g(x) = 3(13-2x) -7 = 39 - 6x - 7 = 32 - 6x
h(32-5x) = 6(32-6x)
= 192 - 36x
Step-by-step explanation:
If A=(0,0) and B=(8,2), what is the length of AB
Answer:
[tex]\boxed{\sf Distance_{AB}= 8.24 \ units }[/tex]
Step-by-step explanation:
Here two points are given to us and we need to find the distance between the two points . The given points are , A(0,0) and B(8,2) . The distance between the two points can be found out using the Distance Formula , which is ,
Distance Formula:-
[tex]\sf\implies \green{ Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2}}[/tex]
Therefore on substituting the respective values ,we can find the Distance as ,
[tex]\sf\longrightarrow Distance = \sqrt{ ( 0 - 8)^2 + (0-2)^2} [/tex]
Simplify the brackets ,
[tex]\sf\longrightarrow Distance =\sqrt{ (-8)^2+(-2)^2}[/tex]
Square the numbers inside the squareroot ,
[tex]\sf\longrightarrow Distance =\sqrt{ 64 + 4} [/tex]
Add the numbers inside the squareroot ,
[tex]\sf\longrightarrow Distance = \sqrt{68} [/tex]
Find the value of squareroot,
[tex]\sf\longrightarrow \boxed{\blue{\sf Distance = 8.24 \ units }}[/tex]
Hence the distance between the two points is 8.24 units .
Tyrell bought 6 video games this summer. Each game cost 27 dollars. If Tyrell had 379 dollars left after he bought the video games, how much money did he start with?
Taking into account the total amount of money spent on the games and the money that Tyrell had left after he bought the video games, Tyrell started with $541.
Total amount of moneyFirst you must know the total amount of money spent on the games. For that Tyrell bought 6 video games this summer and each game cost 27 dollars.
So to calculate the amount spent, the number of games purchased must be multiplied by the price of each one:
6 video games* 27 dollars each game= 162 dollars
So Tyrell spends 162 dollars.
Money left over after buying the video games.On the other hand, you know that Tyrell had 379 dollars left after he bought the video games.
This indicates that after spending $ 162 on video games, there were $ 379 left over.
Money he started with.To know the amount of money that Tyrell had, you must add the amount spent on games and the money that was left over:
162 dollars + 379 dollars= 541 dollars
So, Tyrell started with $541.
Learn more with this similar examples:
https://brainly.com/question/11757690?referrer=searchResultshttps://brainly.com/question/10823368?referrer=searchResultsTyrell started with 541 $
There are two actions in the question.
First Tyrell bought 6 video games, each game cost 27 $.
Spent
According to that Tyrell spent
6 * 27 = 162 $
Keeps
The second fact is that after shopping Tyrell keeps 379 $.
If Tyrell spent 162 $ and still keeps 379 $, that means that the total amount of money Tyrell had is the sum of the money he spent plus the money he has
Now if we call "x" the quantity of money Tyrrel started with: Then
x = the money Tyrell spent on video games plus the remaining 379 $
Then
x = 162 + 379
x = 541 $
which quadratic function has zeros of -4 and 7
Thank You! Hope it helps! Please mark me brainliest!
I NEED THIS BADD BRAINLIEST I WILL GIVEE
Answer:
D
Step-by-step explanation:
He needs to buy 6 items
6 bags of chips
6*2.25= $13.5 so not possible
6 candy bars
6*1.5= $9 so possible
These statements knock out B and C because the dark gray needs to be able to include 6 on the y-axis to show that he could buy 6 candy bars leaving D and A. However, in D it shows that he could actually buy more than 6 candy bars and buy 8 which leaves him with 0 dollars left
8*1.5=$12
Answer:
Step-by-step explanation:
Need helppppp asapppppppppp
Answer: Choice A
x = 19, RZ = 49, and RT = 98
====================================================
How to get that answer:
Z is the midpoint of RT. This midpoint splits segment RT into two equal pieces RZ and ZT
RZ = ZT
4x-27 = 49
4x = 49+27
4x = 76
x = 76/4
x = 19
So far, we can see that the answer is either choice A or choice D.
------------------
If x = 19, then
RZ = 4x-27
RZ = 4*19-27
RZ = 76 - 27
RZ = 49
Which points us to Choice A as the final answer
-------------------
We could skip the second section entirely because we initially set RZ equal to ZT, and ZT was 49. However, I showed that section to help confirm that we had the correct x value.
Also,
RT = RZ + ZT
RT = 49 + 49
RT = 98
mr. Patel travelled from Delhi to Mumbai by road in his car. a). If he travelled in his car 770 km over 22 days, then how many kilometres did he travel in one day?b). A litre of petrol takes Mr Patel’s car a distance of 14 km. How many litres would he need to go 840 km?C). Mr Patel is carrying 326 boxes of sweets in the boot of his car. If each box contains 25 sweets, how many sweets are there in his car?
Answer:
a. 35 Kilometres.
b. 60 litres.
c. 8150 sweets.
Step-by-step explanation:
Given the following data;
Distance traveled = 770 kmNumber of days = 22 daysa. To find how many kilometres he traveled in one day;
770 km = 22 days
X km = 1 day
Cross-multiplying, we have;
22X = 770
X = 770/22
X = 35 Kilometres.
b. To find how many litres he would need to go 840 km;
1 litre = 14 kilometres
X litres = 840
Cross-multiplying, we have;
14X = 840
X = 840/14
X = 60 litres.
c. To find how many sweets are there in his car;
Number of sweet box, Ns = 326 boxes
Number of sweets in each box, Sw = 25 sweets
Total number of sweets = Ns * Sw
Total number of sweets = 326 * 25
Total number of sweets = 8150 sweets.
Please solve #5 and explain how you solved it
Which correctly shows how to use the GCF and the distributive property to find an expression equivalent to 45 + 72?
O 3(15 + 24)
O 9(5 + 8)
O (5)(9) + (2)(36)
O (3)(15) + (8)(9)
Answer:
9(5+8)
Step-by-step explanation:
A line passes through the point (8,-5) and has a slope of 5/4. Write an equation in slope intercept form for this line.
Answer:
y = 5/4x-15
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 5/4x+b
Substitute the point into the equation and solve for b
-5 = 5/4(8)+b
-5 = 10+b
Subtract 10 from each side
-5-10 = b
-15 = b
y = 5/4x-15
Step-by-step explanation:
y-y'=m(x-x')
y-(-5)=5/4(x-8)
y+5=5x/4-10
4(y+5)=4(5x/4)-10(4)
4y+20=5x-40
4y-5x=-40-20
4y-5x=-60
5x-4y-60=0
y=5x/4-15
Write the equation of the line in slope-intercept form that passes through (5, –4) and (1, 7).
Answer:
Slope=[tex]\frac{11}{-4}[/tex]
Step-by-step explanation:
Translate this sentence into an equation.
The sum of 22 and Greg's savings is 65.
Use the variable g to represent Greg's savings.
Answer:
22+g=65
Step-by-step explanation:
take the 22 add (sum) to g (the variable) and have them = 65
solve 3-x/2 less than or equal to 18
Answer:
x ≥ -30
Step-by-step explanation:
The equation is 3 - x / 2 ≤ 18.
First, subtract 3 on both sides:
- x / 2 ≤ 15.
Multiply by -2 on both sides and swap the less than or equal to sign:
x ≥ -30
Hope this helps!
SOMEONE HELP ME PLEASE
Answer: P (3 or odd) = 1/2
Step-by-step explanation:
Concept:
Here, we need to know the idea of probability.
Probability is a measure of the likelihood of an event to occur.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
The numbers on a dice: 1, 2, 3, 4, 5, 6
Total numbers = 6
Number of 3 = 1
Number of Odd = 3
[Since 3 is one of the odd numbers and they are overlapping, so we should subtract 1 from the number of favorable outcomes]
P (3 or odd) = Favorable / Total (refer to the attachment)
P (3 or odd) = [(1 + 3) - 1] / 6
P (3 or odd) = (4 - 1) / 6
P (3 or odd) = 3 / 6
P (3 or odd) = 1/2
Hope this helps!! :)
Please let me know if you have any questions
What's the sum of the infinite geometric series where a1 = 240, and the common ratio is r = 1∕3 ?
A: 600
B: 720
C: 360
D: 480
I think its B because it is always B
Which days are part of line BE?
Answer:
B) Rays AB and AE
Step-by-step explanation:
Though A-F, A-D, and A-C all meet at one point on line B-E, point A, they aren't a part of it. Point A on line B-E marks the "midpoint" of it, and therefore, ray A-E and A-B are part of line B-E.
The triangle below is equilateral. Find the length of side 2 in simplest radical form
with a rational denominator.
x
Submit Answer
Answer: 2
attempt 1 out of 2
PLS HELP
Answer:
[tex]x=\frac{4\sqrt{3}}{3}[/tex]
Step-by-step explanation:
From the figure attached,
ΔABC is an equilateral triangle.
Therefore, by the property of the equilateral triangle,
Measure of each angle = 60°
By applying tangent rule in the right triangle ADC,
[tex]\text{tan}(60^{\circ})=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\sqrt{3}=\frac{4}{x}[/tex]
[tex]x=\frac{4}{\sqrt{3}}[/tex]
[tex]x=\frac{4}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3} }[/tex]
[tex]x=\frac{4\sqrt{3}}{3}[/tex]
Instructions: Find the missing segment in the image below plz help me
Answer:
56
Step-by-step explanation:
that is the procedure above
The missing segment in the image below is 8.
The missing segment is the side length of the small triangle that is formed by the two red lines and the green line. We can find the length of this side length by using the Pythagorean Theorem.
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is the missing segment, and the other two sides are 4 and 5.
missing [tex]segment^2[/tex] = [tex]4^2[/tex] + [tex]5^2[/tex]
missing [tex]segment^2[/tex] = 16 + 25
missing [tex]segment^2[/tex] = 41
missing segment = √41
Therefore, the missing segment is √41.
Here are the steps in detail:
Identify the small triangle that is formed by the two red lines and the green line.
Label the sides of the triangle with the letters A, B, and C, where C is the missing segment.
Substitute the known side lengths into the Pythagorean Theorem.
Solve for the length of the missing segment.
To learn more about segment here:
https://brainly.com/question/12622418
#SPJ2
Frank tried to solve an equation step by step.
-5=5(d+4)
-5=5d+20 Step 1
15=5d Step 2
3=d Step 3
Find Frank's mistake
a) Step 1
b) Step 2
c) Step 3
d) Frank did not make a mistake
Answer:
B
Step-by-step explanation:
when grouping the like terms the 20 will become a negative therefore -20-5 is -25 so the 5d has to be divided into -25 and not 15.. making the rest of the answer wrong.
-5-20=5d
-25/5=5d/5
-5=d
I hope this helps
Answer:
Step 2
Step-by-step explanation:
khan
Which expression is equivalent to
36÷3+3
a 3x2^+3
b 2^2÷3x3
c 3x2^2÷3
d 2^2+3x3
What are the solutions to the quadratic equation below?
Find the next three terms in the geometric sequence -3, 9, -27, 81, ...
Answer:
...-243, 729, -2187
Step-by-step explanation:
-3, 9, -27, 81, -243, 729, -2187
Everytime ×(-3)
-3×(-3)=9
9×(-3)=-27
-27×(-3)=81
Etc.
Which polynomial represents the sum below?
7x9.5x*-**8
5x 0.9x**
A. 5x10.7x8 + 5x5.9x+16
B. 5x10 + 7x8 + 5x5 + 8x+ 16
C. 12x18+1474+8x+ 16
D. 12/16 + 4X4+ 7x+ 16
AABC is a right triangle in which zB is a right angle, AB = 1, AC = 2. and BC = V3.
COS Cx sin A =
The value of COS Cx sin A by the given data is V3/4.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse. These are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).
We are given that;
AB = 1, AC = 2 and BC = V3
Now,
To find the value of cos C x sin A, we need to use the trigonometric ratios of the right triangle.
We know that cos C = adjacent/hypotenuse = AB/AC = 1/2 and sin A = opposite/hypotenuse = BC/AC = V3/2.
cos C x sin A = (1/2) x (V3/2) = V3/4.
Therefore, by the trigonometric ratio the answer will be V3/4.
Learn more about trigonometric ratios;
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357 students went on a field trip. Eight
buses were filled and 5 students traveled
in cars. How many students were in each
bus?
Answer:
There were 44 students in each bus.
Step-by-step explanation:
357 - 5 = 352
352/8 = 44
Answer:
Step-by-step explanation:
Total students = 357
Total buses filled = 8
No of students traveled in car = 5
Remaining students = 357 - 5 = 352
Students in each bus = 352 ÷ 8 = 44 students
Use the coordinates of the labeled point to find the point-slope equation of
the line.
(2, -1)
Answer: (C) [tex]y+1=-2(x-2)[/tex]
Step-by-step explanation:
Slope: y = mx +b
By looking at the graph we can see that the slope has a rise of 2 and a run of -1 (aka. -2x) We can also tell that this has a y-intercept of 3
So our slope is: y = -2x + 3
Now you just have to find the answer that matches.
The value of a jewel in 2015 was $17500. The jewel was purchased in 2008, and its value appreciated 2.5%
each year. What was the initial value of the jewel when it was first bought? Round to two decimal places
Answer:
$14722.14
Step-by-step explanation:
We are given that
In 2015
The value of jewel=$17500
Rate of appreciation, r=2.5%
We have to find the initial value of the jewel when it was first bought.
Time, n=7 years
Final value=[tex]Initial\;value (r/100+1)^n[/tex]
Using the formula
[tex]17500=Initial\;value(2.5/100+1)^7[/tex]
[tex]17500=Initial\;value(1.025)^7[/tex]
[tex]Initial\;value=\frac{17500}{(1.025)^7}[/tex]
Initial value=$14722.14
Hence, the the initial value of the jewel when it was first bought=$14722.14
The table shows values for functions f(x) and g(x)
X
f(a) = 2-2
g(x) = -22
-3
18
6
-2
4.
4
-1
2
2
0
0
1
2
2.
44
3
6
18
What is the solution to f(x) = g(x) ?
Select each correct answer.
Answer: When f(x)=g(x) , x equal to -2 or -1
Step-by-step explanation:
Can you answer this math homework? Please!
Step-by-step explanation:
[tex]x + 3y = 7 \\ 2x + 4y = 8 \\ x = 7 - 3y \\ 2(7 - 3y) + 4y = 8 \\ 14 - 6y + 4y = 8 \\ 14 - 2y = 8 \\ - 2y = - 6 \\ y = 3 \\ x = 7 - 3(3) \\ x = 7 - 9 \\ x = - 2[/tex]
Answer:
2x+3y=7x4
x+4y=8x3
8x+12y=27
3x+12y=24
8x-3x =5x
+12y-+12y=0
27-24=3
5x/5 3/5x
answer = x = 3/5
y=1.85
Would kindly appreciate the help please !
Answer:
cannot be determined
Step-by-step explanation:
We do not know if any of the angles are equal and are only given two sides.
We cannot determine if the two triangles are similar
