London's family took a road trip to the Grand Canyon. London fell asleep 61% of the way through the trip. If London fell asleep after they had travelled 305 miles, what was the total length of the trip?
Answer: 782.05 miles.
Step-by-step explanation: Percentage is a ratio expressed as fraction of 100, in other words, 61% is represented as [tex]\frac{61}{100}[/tex] or 0.61.
London slept 61% of the journey, so it means he was awake for 39% of the journey. Now the total trip is [tex]\frac{100}{100}[/tex] or 1, so the relationship will be
0.39 ---- 305 miles
1 ----- x
[tex]x=\frac{305}{0.39}[/tex]
x = 782.05
The total length of the trip was 782.05 miles.
Answer: 500
Step-by-step explanation:
In what quadrant are the eyeglasses
Answer:
3rd Quadrant
Step-by-step explanation:
Hope the above solution will help you
f(x) = 7x² + 21x - 70
factor
Answer:
Step-by-step explanation:
f(x)=7(x^2+3x-10)=7(x+2)(x-5)
A highway inspector needs an estimate of the mean weight of trucks crossing a bridge on the interstate highway system. she selects a random sample of 49 trucks and finds a mean of 15.8 tons with a sample standard deviation of 3.85 tons. the 90 percent confidence interval for the population mean is:
Answer:
14.90 to 16.70 tons
Step-by-step explanation:
We are given;
Sample size; n = 49
Mean; x¯ = 15.8
Sample standard deviation; s = 3.85
At 90% Confidence interval, z = 1.645
Formula for confidence interval is;
CI = x¯ ± z(s/√n)
Thus;
CI = 15.8 ± 1.645(3.85/√49)
CI = 15.8 ± 0.90
CI = 14.90 to 16.70 tons
2) Simplify: 2a + 3b - 4a + 5c - 2b
Answer:
-2a+b+5c
Step-by-step explanation:
If a number is reduced by 40% and it becomes 192, what was the original price?
Answer:
320
Step-by-step explanation:
what is the sum of one and the product of one and a number
Answer:
the answer for this problem is 1 +×
Step-by-step explanation:
you must frame the equation with a number x
after that you have to translate the x into the equation and it can be written as
1×(1× ×)=1+×
216. Determine the volume of a 75-inch cube.
a. 22.5 cu in
b. 166 cu in
c. 216 cu in
d. 421.88 cu in
Answer:
c
Step-by-step explanation:
because you have to know how many 8nches is a cube
graph the line with the slope 3 passing through the point (2,-1)
Answer:
I can't draw at the moment but I'll try to teach how as best as I could.
Draw the Cartesian plane (x and y-axis)Locate the point (2, -1). To do this, go to x=2 then go down by 1 unit. Plot it or mark this point by a dot.Then from this dot, go 3 units to the right. After that, go up by 1 unit and mark that with a dot. By this time, you now have 2 dots.Connect them and that's it.A number increased by 20% becomes 227. what is the number?
Answer: I think it's 272.4
Step-by-step explanation: hope it helps thx for the free points :)
PLEASE HELP BEST ANSWER GETS BRAINLISEST!!!
Answer:
80?
Step-by-step explanation:
Zoey's dog has a water bowl with a diameter of 6 inches. Sam's
dog has a water bowl with a diameter of 10 inches. What is the
approximate difference in the circumference (distance around)
ut of the two water bowls?
Answer:
12.56 inches
Step-by-step explanation:
Circumference: C = 2*pi*r
I will be using 3.14 in place of pi
Divide the diameters by 2, so 3 for Zoey and 5 for Sam
Multiply (2*3.14*3) and (2*3.14*5)
For Zoey you get 18.84 and for Sam you get 31.4
31.4-18.84= 12.56 in difference
An airplane is currently flying at an altitude of 37,000 feet. The airplane is scheduled to land at an airport 100 miles
away. Find the average angle at which the airplane must descend for landing. Round your answer to the nearest
degree.
Answer:
4degrees
Step-by-step explanation:
Given the following
Height of the airplane = 37000feet
distance covered on landing = 100miles = 100(5280)
distance covered on landing = 528,000feet
Using the SOH CAH TOA
sin theta = opposite/hyp
sin theta = 37000/528000
sin theta = 37/528
theta = arcsin (37/528)
theta = 4 degrees
Hence average angle at which the airplane must descend for landing is 4degrees
use square root property to solve for k
(k+5)= -24
Answer:
k= -29
Step-by-step explanation:
How does the graph of g(x)=(x-1)^3+5 compare to the parent function f(x)=x^3
Answer:
it is one to the right and 5 up compared to its parent function.
Step-by-step explanation:
the (x-1)3 means that the graph is shifted one to the right and the + 5 means that you have to shift the garph 5 up also.
seven more than twice a number is greater than negative fifteen
Answer: 2n > -15
Step-by-step explanation:
We can use the variable n to show the unknown number.
It says that there is twice a number, meaning two of an unknown number. We can show it by using the term 2n.
It also states that 2n is greater than -15. Because of that, we can use the equation 2n > -15, to show that 2n is greater than -15.
(Quick note: The variable n just represents the unknown number, you can subsitutue any variable into its place.)
The Inequality that shows seven more than twice a number is greater than negative fifteen is; 2n > -15
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
We can consider the variable n to show the unknown number.
That says, there is twice a number, meaning two of an unknown number. We can show it by using the term "2n".
It states that seven more than twice a number is greater than negative fifteen
MEans 2n is greater than -15.
we can use the equation 2n > -15, to show that 2n is greater than -15.
Learn more about inequality ;
brainly.com/question/14164153
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calculate the scale factor will mark branylis
Answer:
I think it is D. K= 11/2
5 x (h + 3) for h = 7
Evaluate the expression
Answer:
ummm im so sorry but i forgot while answering
Step-by-step explanation:
opps
$0.25 per bottle water
$0.40 per bottle water
$0.50 per bottle water
6-pack
12-pack
24-pack
Answer:
24-pack
Step-by-step explanation:
you are paying less per bottle than the other 2 packs.
Merle opened a new savings account she deposited 40,000 at 10% compounded semiannually at the start of the fourth year merle deposits an additional 20,000 that is also compounded semiannually at 10% at the end od six years the balance in merle account is
happy first question!!!!
Explain answer !!
( WILL GIVE BRAINLEST)
Larissa: y = 250 - 25x
Chucho: y = 30 +30x
4 weeks
Step-by-step explanation: It says it in the problem, and you can see they cross at 4 weeks
Answer:
Larissa: y = 250 - 25x
Chucho: y = 30 +30x
4 weeks
Step-by-step explanation:
please help! due in 1 hour!
System of inequalities
ASAP I ONLY HAVE 15 MINS WILLING TO GIVE 20 POINTS
Answer:
y > x - 4
x > 3
Step-by-step explanation:
The system of inequalities need to represent the overlapped, black area, so you need to write an inequality for each of the two lines shown.
To find out whether you should be using a >, <, ≤, or ≥, identify on the graph first:
The vertical line is shaded to the right of the line. The line is also dashed, so it should be a >.
The sloped line is shaded above the line. The line is also dashed, so it should be a >.
Then, find the slopes of the lines.
Refer to the sloped line as Line 1 and the vertical line as Line 2.
The slope of Line 1 is 1. It's y-intercept (where the line crosses the y-axis) is -4.
So: y = x - 4
Replace the = with >.
y > x - 4
Line 2 is unidentified, so you can see that it's x = 3. Replace the = with >.
x > 3
You can always check by plugging in a point from the overlapped area, like (4, 1).
(4, 1)
y > x - 4
1 > 4 - 4
1 > 0
x > 3
4 > 3
These statements are true.
What is Y= -3/10x-8 written in standard form?
Solve the inequality for x and identify the graph of its solution.
[1x + 1]< 2
Choose the answer that gives both the correct solution and the correct graph.
Answer:
x<1
Step-by-step explanation:
[1x + 1]< 2
Simplify both sides of the inequality.
x+1<2
Subtract 1 from both sides.
x+1−1<2−1
x<1
Answer:
x<1
On the graph line, the circle is open on number 1 and is going left
Write a linear expression in simplest form to represent
the perimeter of the triangle at the right. Then find the
perimeter if the value of x is 10 millimeters.
Answer:95
Step-by-step explanation:
2+2-3+70-32+454-10-40=
Answer:
443
Step-by-step explanation:
Answer:
449
Step-by-step explanation:
4. David hikes 2 1/4 miles in 1/2 hour. At this rate how long will it take him to walk 1 mile? If he walks for 1 hour,
how far will he have gone? yes
Answer: 4.50 miles.
Step-by-step explanation:
David hikes 2 1/4 miles in 1/2 hour. To make it easier, we can turn the fractions into decimals.
David hikes 2.25 miles in 0.5 miles.
The ratio of miles hiked to the hours hiked is 2.25 : 0.5. For every 0.5 hours, David hikes 2.25 miles.
To find how many miles David walks in 1 hour, we should multiply the original ratio by 2. 0.5 x 2 = 1, and we need to find how far David walks in 1 hour.
If David hikes 2.25 miles in half an hour, then he will walk 4.50 miles in 1 hour. So the answer is that David will walk 4.50 miles in 1 hour.
what is 8.45 rounded to the nearest tenth? A 8.0 B 8.4 C 8.5 or D 9.5
Answer:
C
Step-by-step explanation:
Since its a 5, you round up. if it is 5 or above, you round the number upwards, when 4 or below, is downwards.
Answer:
C.8.5
Step-by-step explanation:
i need your help hurry quick
Answer:
B. The value of n + m is positive.
Step-by-step explanation:
n is -0.5
m is 2.5
2.5 + (-0.5) = 2.5 - 0.5 = 2
2 is positive
Answer:this aint a answer but
Step-by-step explanation: your on the same quiz as me