Answer:
so to find the mph of the lorry for the original route we divide 66 by 55 since it 66 is 1.1 of 60
66 divided by 55=1.2
so it takes 1 minutes 12 seconds for the lorry to go a mile
now we multiply 55 by 1.15=63.25
so we divide 66 by 63.25=1.04347826087
so it takes 1 minute and 1 second for the the lorry to go a miles
1 minute 1 second is 59 miles per hour
1 minute 12 seconds is 50 miles per hour
so the lorry travels 9 mph over its expected speed
Hope This Helps!!!
=================================================
Explanation:
distance = rate*time
d = r*t
r = d/t
r = 55/1.1
r = 50
The lorry's original speed is 50 mph when going the original route.
-----------------
Now consider the longer route, which is 15% longer compared to the original 55 mile route. So the longer route is 1.15*55 = 63.25 miles exactly. Or you could say 15% of 55 = 0.15*55 = 8.25 which adds onto the original 55 to get 55+8.25 = 53.25; either way the longer distance is 63.25 miles.
Computing the new rate or speed gets us
r = d/t
r = 63.25/1.1
r = 57.5
-----------------
When traveling the original route, the lorry goes 50 mph. When traveling the longer route, the lorry goes 57.5 mph. This is a difference of 57.5 - 50 = 7.5 mph
Meaning that the lorry must drive 7.5 mph faster on the longer route compared to the shortest route. This is if the driver wants to make the trip in the same 1.1 hour timeframe.
Note: 1.1 hours = 1.1*60 = 66 minutes = 1 hour, 6 minutes.
Which of the following is most likely the next step in the series?
B
Answer:
C
Step-by-step explanation:
The pattern seems to go as follows:
1. Top left portion is in blue
2. Top left portion is in blue as well as the rest of the upper half filled with red.
3. Another portion of blue is added directly underneath the red.
This leads me to believe that the colors are alternating from blue to red to blue to finally, red. This makes your answer C. Please let me know if you still need help!
Urgent!!!!! please help
Answer:
A
Step-by-step explanation:
I will edit and add my explanation
The 3 and 2 are both positive if the information that was given in the screenshot is standalone.
So if the numerals are both positive, they must be traveling to the right because the number line is increasing towards the right.
We can narrow the choices down to A and C because they both move right.
Since neither of the numbers are negative, it must start from the center 0 and increase, so it must be A.
3 * 2 is also 6, so it must end on 6.
Please help me Thank you
Step-by-step explanation:
help me you nedd to add position
Tom had some blocks that were all the same size and shape. He used two of them to make this regular hexagon He placed six more blocks around this hexagon to make a bigger regular hexagon
How many more blocks does he need to place around this shape to make the next bigger regular hexagon?
(A) 6
(B) 10
(C) 12
(D) 18
Answer:
Well it all started by drawing some equilateral triangles so that they made a regular hexagon: hexagon from unit length triangles. Then we ...
PLEASE HELP WKLL MARK IF YOU HELP ME !!!
Answer :
Let in Triangle abc,
a=90,
b = (we have to find)
c = (we have to find)
c + 144=180 (linear pair)
c = 180 - 144
c = 36
a + b + c = 180 (Angle sum property)
90 + b + 36 = 180
126 + b = 180
b = 180-126
b = 54
I really need your help. I am having a lot of difficulty in solving this question, so please help me..
Answer:
Step-by-step explanation:
[tex]log\ \frac{1}{x} = - log \ x \\\\log_a \ a = 1\\\\log \ a^x = x \ log \ a[/tex]
(iii)
[tex]m = log_2 \ \frac{1}{32}\\\\m = log_2 \ \ 32^{-1}\\\\m = - 1 \ log_2 32\\\\m = - 1 \ log_2 \ 2^5\\\\m = -1 \times 5 \ log_2 \ 2\\\\m = -5 \ log_2 \ 2\\\\m = -5 \times 1 = -5[/tex]
(iv)
[tex]log_a \ m = 0\\\\m = a^0 = 1[/tex] [tex][ \ log _a \ 1 = 0 \ ][/tex]
(vii)
[tex]log_{32} \ 8 = m\\\\8 = 32^m\\\\8^{ \frac{1}{m}} = 32 \\\\(2^{3 })^ { \frac{1}{m}} = 2^{5}\\\\2^{\frac{3}{m}} = 2^5 \\\\\frac{3}{m} = 5\\\\3 = 5 \times m \\\\m = \frac{3}{5}[/tex]
(viii)
[tex]log_5 \ ( 2m + 5 ) = 3\\\\(2m +5 ) = 5^3\\\\2m + 5 = 125\\\\2m = 125 - 5 \\\\2m = 120 \\\\m = 60[/tex]
(x)
[tex]log_{m^3} \ 64 = \frac{2}{3}\\\\64 = (m^3)^{ \frac{2}{3}}\\\\64 = m^{ 3 \times \frac{2}{3}}\\\\64 = m ^2\\\\\sqrt{64} = m \\\\8 = m[/tex]
what does $42,690e(0.03)(20) equal
Answer:
77,786.251
Step-by-step explanation:
2/5+3/7 is the same as?
Answer:
29/35
Step-by-step explanation:
Least common denominator of 5 and 7 is 35
[tex]\frac{2}{5}=\frac{2*7}{5*7}=\frac{14}{35}\\\\\frac{3}{7}=\frac{3*5}{7*5}=\frac{15}{35}\\\\\frac{2}{5}+\frac{3}{7}=\frac{14}{35}+\frac{15}{35}\\\\ \ = \frac{14+15}{35}\\\\ = \frac{29}{35}[/tex]
The mean score in an exam given to 40 students is 70. What is the sum of the 40 exam scores? A. 1500 B. 2000 C. 2800 D. 3000
Answer:
C
Step-by-step explanation:
Mean is calculated as
mean = [tex]\frac{sum}{count}[/tex] , then
[tex]\frac{sum}{40}[/tex] = 70 ( multiply both sides by 40 )
sum = 40 × 70 = 2800 → C
‼️‼️need help asap ‼️‼️
Answer:
D
Step-by-step explanation:
(f-g)(x) = f(x) - g(x)
=3x^3+8x^2-7x-4-(2x-6)
=3x^3+8x^2-9x+2
The first five terms of a sequence are 34, 35, 36, 37, 38.
Write down the general term of the sequence
33+n
Hope it helps you...
Find the quotient of 4x^3-12x² + 8x/ - 4x
O x2 + 3x - 2
O x²-12x + 4
O -x2 – 3x + 2
O x² + 12x - 4
Answer:
-x^2+3x-2
Step-by-step explanation:
I think one of the signs are wrong in the equation.
HELPPPPP PLEASEEEE ASAPPPP WILL GIVE POINTS/BRAINLIEST
A function is shown in the table.
x g(x)
−3 17
−1 −3
0 −4
2 13
Which of the following is a true statement for this function? (5 points)
The function is increasing from x = −3 to x = −1.
The function is increasing from x = −1 to x = 0.
The function is decreasing from x = 0 to x = 2.
The function is decreasing from x = −3 to x = −1.
Answer:
2nd
Step-by-step explanation:
i know I don't have an exlanation'
Graph the image of Kite BCDE after a translation 5 units down.
Answer:
See attachment for the translated kite
Step-by-step explanation:
Given
The attached image of BCDE
Required
Translate 5 units down
From the attachment;
[tex]B = (-7,0)[/tex]
[tex]C = (0,5)[/tex]
[tex]D =(-7,10)[/tex]
[tex]E = (-10,5)[/tex]
The rule to translate 5 units down is:
[tex](x,y) \to (x,y-5)[/tex]
So:
[tex]B' = (-7,-5)[/tex]
[tex]C' = (0,0)[/tex]
[tex]D' = (-7,5)[/tex]
[tex]E' = (-10,0)[/tex]
See attachment for the translated kite
How is the graph of y = 8x2 − 1 different from the graph of y = 8x2?
It is shifted 1 unit down.
It is shifted 1 unit to the right.
It is shifted 1 unit to the left.
It is shifted 1 unit up.
Answer:
since it's the lhs we are concerned about, i. e., Y axis, so it must be either up or down. now look at the question, it says 8x2 - (1), it means one lower value of y i. e., 1 unit down
Answer:It is shifted 1 unit down.
Step-by-step explanation:
Find h.
9 ft
h =
= [?] ft
4 ft

Hemp me solve
Answer:
9ft =2.743m
kjhgfdfvhhgddfcvh
The elevation of Sports Authority Field in Denver, Colorado is 5280ft. If this is 275ft higher than seven times the elevation of Lucas Oil Field in Indinapolis, what is the elevation of Lucas Oil Field?
Answer:
The elevation of Lucas Oil Field is of 715 feet.
Step-by-step explanation:
Elevation of Sports Authority Field:
Of 5280 ft.
Compared to Lucas Oil Field:
275ft than seven times the Lucas Oil Field elevation of x.
Equation:
[tex]275 + 7x = 5280[/tex]
What is the elevation of Lucas Oil Field?
Solving the above equation:
[tex]7x = 5280 - 275[/tex]
[tex]7x = 5005[/tex]
[tex]x = \frac{5005}{7}[/tex]
[tex]x = 715[/tex]
The elevation of Lucas Oil Field is of 715 feet.
I have 8 carrots my Brother Ate 2
How Much I have left?
Answer:
6?Step-by-step explanation:
..........................
Use I = PRT to solve.
Answer: 11%
Step-by-step explanation:
Since the formula for interest is:
I = PRT
where.
P = 1200
I = 99
T = 0.75
I = PRT
R = I/PT
R = 99/(1200 × 0.75)
R = 99/900
R = 11%
Therefore, the rate is 11%
simplify (1+3i) + (2-5i)
Answer:
3 - 2i
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsAlgebra II
Imaginary number i = √-1Step-by-step explanation:
Step 1: Define
Identify
(1 + 3i) + (2 - 5i)
Step 2: Simplify
[Addition] Combine like terms: 3 + 3i - 5i[Subtraction] Combine like terms (i): 3 - 2i20. What is the next term in the following sequence:
Please hurry
9514 1404 393
Answer:
(a) -1215/32
Step-by-step explanation:
The sequence is apparently geometric. The common ratio is ...
(-135/2)/90 = -135/180 = -3/4
Then the next term is ...
(405/8)(-3/4) = -1215/32
Answer:
abcdefg omlllfffg
Step-by-step explanation:
Which of the following theorems verifies that DEF = XYZ?
Answer:
AA
Step-by-step explanation:
HL = requires actual measurements of sides
LL = There are no measurements for the legs
HL = There are no measurements for the legs or hypotenuse
HA = Doesn't exist
A college has 7 science batches and each batch has 48 students, It is compulsory for each student to do 24 hours of community service in a year. How many hours of community service does the college contribute in a year ?
Answer:
Hello There!!
Step-by-step explanation:
Firstly, find out how many students there are in 7 batches. You can do this by timesing 48 by 7 to get 336. So there are 336 students in 7 batches. Each student does 24 hours of community service in a year so do 336 times by 24 which is 8,064. Therefore,the college contributes 8,064 hours of community service in a year.
hope this helps,have a great day!!
~Pinky~
> Next question Get a similar question You this question below Find the distance between the points (-3,-3) and (-5,-1) Distance vo Х Submit Question
Answer:
The answer is the square root of 8, or 2root2.
Step-by-step explanation:
Use the distance formula.
d = sqrt((-3-(-5))^2 + (-3-(-1)))
d = sqrt(2^2 + 2^2)
d = sqrt(4 + 4)
d = sqrt8
d = sqrt4 * sqrt2
d = 2 * sqrt2
 please helpppp!!! it’s timed!!!! thank u for helping!!!!!
Answer:
[tex]4 \pi {?}^{2} [/tex]
hope it is helpful to you
Please show work thank you
Answer
No solution
Step-by-step explanation:
4y + 2x = 18
3x + 6y = 26
You need either the x's or the y's to have the same coefficients.
let's line things up first.
4y + 2x = 18 (multiply by 3)
6y + 3x = 26 (multiply by 2)
to keep numbers relatively small we will multiply the top equation by 3 and the bottom equation by 2. Multiply all terms. This will make the coefficients equal.
12y + 6x = 54
12y + 6x = 52
So, if you subtract them from each other you get :
0 = 2
When this happens the solution set is : no solution
Answer:
Impossible
Step-by-step explanation:
Ok, so we first rearrange for convenience:
2x+4y=18
3x+6y=26
We multiply the two equations to eliminate x:
2x+4y=18 * -3
3x+6y=26 * 2
So:
-6x-12y=-54
6x+12y=52
And now we add the two equations:
0+0= -2
Try multiplying the two equations by any other number which will lead to them cancelling, (eg. -9, 6), still the equation will not work.
Write the following as an algebraic expression. Then simplify.
The total amount of money (in cents) in x nickles, (x+3) quarters, and 3x dimes. (Hint: The value of a nickel is 5 cents, the value of a quarter is 25 cents, and the value of a dime is 10 cents.)
The total amount of money is ___ cents.
(Simplify your answer. Do not factor.)
Answer:
[tex]60x+75[/tex]
Step-by-step explanation:
We want to find the total amount of money (in cents) of the expression:
[tex]\text{$x$ nickels, $(x+3)$ quarters, and $3x$ dimes}[/tex]
Since each nickel is worth five cents, each quarter 25 cents, and each dime ten cents, we can write that:
[tex]\displaystyle \text{Total}=5(x)+25(x+3)+10(3x)[/tex]
Simplify. Distribute:
[tex]T=5x+25x+75+30x[/tex]
Combine like terms. Therefore, the total amount of money (in cents) is represented by:
[tex]T=60x+75[/tex]
Pls I don’t know what to do
Answer:
[tex]{ \bf{area = \pi {r}^{2} }} \\ { \tt{ = 3.14 \times {( {8.1}) }^{2} }} \\ = { \tt{206.1 \: {cm}^{2} }}[/tex]
1. Find the least common multiple of 6 and 9. oct common multiple of
The transformations to the parent function of a quadratic equation are given below. write an equation of the new function in vertex form
Answer:
11.f(x)=^2-3Step-by-step explanation:
12.And slide everything five units down. So a over here that's negative three negative one. So if we slide at five you just down we go one two three four five and get here.Hope it helps