Answer:
It takes 10 fewer minutes for Noah than for Charlotte to home from school each day.
Step-by-step explanation:
We use the following relation to solve this question:
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance, and t is the time.
Finding the distance:
Charlotte walks home from school every day at a rate of 4 miles per hour. It takes her 30-minutes to reach home.
This means that [tex]t = 0.5, v = 4[/tex]. Time is 0.5 because as the velocity is in miles per hour, the time has to be in hours. We use this to find d.
[tex]v = \frac{d}{t}[/tex]
[tex]4 = \frac{d}{0.5}[/tex]
[tex]d = 4*0.5 = 2[/tex]
The distance is of 2 miles.
Her brother, Noah, runs home from the same school every day at a rate of 6 miles per hour.
We have to find t, in hours, for which [tex]v = 6, d = 2[/tex]. So
[tex]v = \frac{d}{t}[/tex]
[tex]6 = \frac{2}{t}[/tex]
[tex]6t = 2[/tex]
[tex]t = \frac{1}{3}[/tex]
A third of an hour. In minutes, this is a third of 60, that is 60/3 = 20 minutes.
How many fewer minutes does it take Noah than Charlotte to reach home from school each day?
Noah: 20 minutes
Charlotte: 30 minutes
30 - 20 = 10
It takes 10 fewer minutes for Noah than for Charlotte to home from school each day.
2. Suppose you are considering buying a Toyota Prius, which starts at $25,000 and gets 50
mpg. A similarly equipped Honda Accord will start at $22,000 but will get 31 mpg.
(a) How many miles will it take the Prius to recoup the price difference?
Answer:
If a gallon of gas costs $2.9
The Prius can drive 50 miles with one gallon.
then for m miles, it needs:
(m/50) gallons.
and each gallon costs $2.9
Then for driving m miles, the cost would be:
(m/50)*$2.9
Then the total cost of buying the Prius and driving for m miles is:
P(m) = $25,000 + (m/50)*$2.9
We can do a similar approach for the Accord's case.
The Accord can drive 31 miles with one gallon.
Then if it drives m miles, it will need:
(m/31) gallons.
And knowing that each gallon costs $2.9, the cost for driving m miles is:
(m/31)*$2.9
Then the total cost of buying an Accord and driving for m miles is:
A(m) = $22,000 + (m/31)*$2.9
We want to find the value of m, such that the cost of the Prius is smaller than the cost of the Accord.
Then the first thing we need to find is the value of m such that the costs are equal:
P(m) = A(m)
$25,000 + (m/50)*$2.9 = $22,000 + (m/31)*$2.9
$25,000 - $22,000 = (m/31)*$2.9 - (m/50)*$2.9
$3,000 = m*$2.9*(1/31 - 1/50)
$3,000/($2.9*(1/31 - 1/50)) = m = 84,392
This means that if you drive more than 84,392 miles, then the cost of the Prius will be smaller.
I
Find the area of the triangle pictured above.
Answer:
24.5
Step-by-step explanation:
7^2=49
49/2=24.5
ASAP PLEASE HELP I will give brainliest
The box is 7.5 inches
long, 7 inches high,
and 5 inches wide.
What is the surface area of the built box?
Pls answer!!
Answer:37.5 square inches
Step-by-step explanation:
Pls help
Find the surface area of the composite figure.
Answer:
644 cm³
Step-by-step explanation:
Surface area of the composite figure = (surface area of the upper cuboid - base area of upper cuboid) + (surface area of the lower cuboid - base area of the upper cuboid)
✔️Surface area of upper cuboid = 2(LW + LH + WH)
L = 3
W = 3
H = 8
Surface area of upper cuboid = 2(3*3 + 3*8 + 3*8) = 2(9 + 24 + 24) = 114 cm²
✔️Surface area of Surface area of lower cuboid = 2(LW + LH + WH)
L = 12
W = 10
H = 7
Surface area of lower cuboid = 2(12*10 + 12*7 + 10*7) = 2(120 + 84 + 70) = 548 cm²
✔️Base area of upper cuboid = L*W
L = 3
W = 3
Base area = 3*3 = 9 cm²
✅Surface area of the composite figure = (114 - 9) + (548 - 9) = 105 + 539 = 644 cm³
a - b/c when a = 0.6, b = 0.2, and c = 0.5
Answer:
a-b/c
or
0.6-0.2/.5
0.6-0.4
0.2
Pls help me hurry thanks you
(1) Here is a diagram representing a base-ten number. The large rectangle represents a unit that is 10 times the value of the square. The square represents a unit that is 10 times the value of the small rectangle. If the large rectangle represents 1,000, what number is this? *
Answer:
Square = 100
Small rectangle = 10
Step-by-step explanation:
Large Rectangle = 1000
If the square represents ten times the large rectangle. Then divide by 10.
Square = 100
Then divide by 10 again.
100÷10=10
The mean time between failures (MTBF) is a common metric used to measure the performance of manufacturing systems. MTBF is the elapsed time between failures of a system during normal operations. The failures could be caused by broken machines or computer errors, among other failures. Suppose that the MTBF for a new automated manufacturing system follows an exponential distribution with a mean of 12.2 hours. (a) What is the probability that the automated manufacturing system runs for more than 18 hours without a failure
Answer:
0.2287
Step-by-step explanation:
The computation of the probability that the automated manufacturing system runs for more than 18 hours without a failure is shown below:
P(X > 17) = 1 - P(X < 17)
= 1 - [1 - e^-18 ÷ 12.2]]
= 1 - [1 -0.228684984 ]
= 0.2287
What is the true solution to 3 In 2+ In 8 = 2 In(4x)?
Ox=1 X=2
OX=4
OX= 8
Answer:
x=2
Step-by-step explanation:
The true solution to the equation 3log2 + log 8 = 2 log(4x) is x=2, Option B is correct.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 3log2 + log 8 = 2 log(4x)
We have to calculate the value of x
We know that, x logb=log bˣ
and loga + logb = logab
The equation is 3log2 + log 8 = 2 log(4x)
log 8+ log 8= log 16x²
log64/log 16=x²
4=x²
Take square root on both sides
x=2
Hence, the true solution to the equation 3log2 + log 8 = 2 log(4x) is x=2, Option B is correct.
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A circular park has a circumference of 94 ft. find d, the diameter of the garden in feet
Answer:
94 / π = 29.9211293...
Step-by-step explanation:
brainliest plz
9. The Empire State Building in New York is
hit by lightning about 100 times a year.
The building opened in 1931. About how
many times was it hit by lightning by the
year 2000? (69 years)
6,900 times is the answer,also can i get brainliest
If the probability of getting a head on an unfair coin is 78%, what is the probability of getting a tail?
Answer:
22% or 22/100 which is 11/50
Step-by-step explanation:
8 X 1 3/5 how to multiply a whole number by mixed number
Answer:
12 4/5
Step-by-step explanation:
Construct isosceles triangle ABC such that AB = AC = 10 cm and CB = 9 cm. Measure and write down the size of angle ABC.
Answer:
∠ABC = 63.26°
Step-by-step explanation:
cos ∠ABC = (9/2)/10
cos ∠ABC = 0.45
∠ABC = 63.26°
can someone help me please
Answer:
C'(-3, -3)
D'(-2, 1)
E'(-1, 0)
F'(2, -2)
Step-by-step explanation:
Add 2 to the x coordinates and subtract 2 from the y coordinates.
C'(-5+2, -1-2)
D'(-4+2, 3-2)
E'(-3+2, 2-2)
F'(-2+2, 0-2)
C'(-3,-3)
D'(-2,1)
E'(-1,0)
F'(2,-2)
8x^2+10x+3=0 quadratic formula
Yoo can somebody help me?
On each triangle, solve both of them and round to the nearest tenth. Make sure to show your work for both. Thank you in advance.
Answer:
Step-by-step explanation:
Triangle 1 given: 100° , 17 yds, 30 yds
Triangle 2 given: 30 ,17,18
law of cosines: c^2 = a^2 + b^2 − 2ab cos(C)
we'll also need the formula for a SSS triangle
Cos(C) = a^2 + b^2 - c^2 / 2ab
keeping the above in mind we can now solve both triangles
c = AC for the first triangle
solve law of cosines for what we know
c^2= 17^2 + 30^2 - 2*17*30*Cos(100)
c = 36.96
now use SSS triangle formula to find the angle C, but c = 17 now , not 36.96, that's b
C = arcCos(17^2+36.96^2-30^2/ 2*17*36.96)
C = 42.24°
now use 180 = 100 +42.24 +A to solve the last angle
A= 37.75°
Triangle 1 solved
A= 37.75°
B= 100
C = 42.24°
a= 17
b=30
c=36.96
Triangle 2
given a=17 , b= 18 , c =30
use SSS formula to find one angle, which ever one you want in this case
Cos(C) = a^2 + b^2 - c^2 / 2ab
C = arcCos(17^2+18^2-30^2 / 2*17*18
C= 117.966°
solve for A now
Cos(A) =b^2+c^2-a^2 / 2bc
A = arcCos(18^2+30^2-17^2/2*18*30)
A = 30.03
use 180 again to solve for last angle
180 = 117.966+30.03+B
32.001 = B
Triangle 2 solved
A = 30.03°
B= 32.001°
C= 117.966°
a=17
b=18
c=30
:P whew
Once Farid spends 15 minutes on a single level in his favorite video game, he loses a life. He has already spent 10 minutes on the level he's playing now.
Answer:
0.6666 or [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Since this is a ratio problem we can simply use the rule of three to solve it. We need to multiply the diagonal values and divide by the remaining value to get the variable which in this case is x (how much life he has already lost)
15 minutes <=======> 1 life
10 minutes <=======> x
(10 * 1) / 15 = x
10 / 15 = x
0.6666 or [tex]\frac{1}{3}[/tex] = x
Finally, we can see that Farid has lost 0.6666 or [tex]\frac{1}{3}[/tex] in those 10 minutes
Please help ASAP
Find the slope of the line graphed below.
Answer:
3/4
Step-by-step explanation:
Hope this helps! :)
What is the vector sum of 7, 5 and 13, −5? 20, 0 20, 10 6, 0 6, 10
Answer:
{20, 0}.
Step-by-step explanation:
the points on the number line represent the values of four different numbers which point best represents the value of 3
Answer:
its point b
Step-by-step explanation:
the square root of 3 rounds off to 1.7 so looking at the chart point b is closest to that
1058 rounded to the nearest hundred
Answer:
1100
Step-by-step explanation:
Rounded to nearest hundred
Here we will tell you what 1058 is rounded to the nearest hundred and also show you what rules we used to get to the answer.
Remember, we did not necessarily round up or down, but to the hundred that is nearest to 1058.
First, 1058 rounded to the nearest hundred is:
1100
When rounding to the nearest hundred, like we did with 1058 above, we use the following rules:
A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.
B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.
C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.
1. A film starts at 7.45 pm.
The film lasts 98 minutes.
What time does the film finish?
Answer: The film will finish at 9:23 p.m.
Answer:
9.23pm
Step-by-step explanation:
98 min is 1 hour and 38 min :)
Find the missing side length of the right triangle below.
26 cm
10 cm
b
Answer:
24
Step-by-step explanation:
we'll use the pythagoras theorm, but change it a little
instead of a² + b² = c², we'll use c² - a² = b²
26² - 10² = 576
the square root of 576 is 24, and that's the answer :)
Find the area of an equilateral triangle with a side of 10.
a
5(d+6)? Help now pls
Answer:
5d + 30
Step-by-step explanation:
5(d+6)
Solution;If d has no value to evaluate, then here is the solution.[tex] \\ = \sf5(d+6)[/tex][tex] \sf = (5)(d + 6)[/tex][tex] = \sf(5)(d) + (5)(6)[/tex][tex] = \sf \: \green5 \green d \green+ \green3 \green0 \\ \\ [/tex]A sphere has a volume of 36(pi) in^3. What is the surface area in terms of Pi
Answer:
la verdad que depende de la situación
Help me pls
Ms. Manalo is reviewing her 2018 property taxes.
Use the tax form to complete the statements below.
The total assessed value of Ms. Manalo's property was $5,00,000
The total property tax rate was 1.7%
Ms. Manalo paid a total of $8,500 to her local government as a property tax in 2018.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Ms. Manalo is reviewing her 2018 property taxes.
Now, We get by given data;
The total assessed value of Ms. Manalo's property was,
⇒ $84,785 + $415,215
⇒ $5,00,000
And, The total property tax rate was ,
0.8% + 0.5% + 0.2% + 0.1% + 0.1%
1.7%
And, Ms. Manalo paid a total to her local government as a property tax in 2018 is,
1.7% of 5,00,000
1.7/100 x 5,00,000
8,500
So, The total assessed value of Ms. Manalo's property was $5,00,000
The total property tax rate was 1.7%
Ms. Manalo paid a total of $8,500 to her local government as a property tax in 2018.
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helpppppppppppppppppppppppppppppppppppppp
Answer:
Area of a rectangle = l × w
= 1.4 × 2.1
= 2.94 meters ^2
hope it helps. sorry if its wrong. this is my own knowledge