A train traveled 300 miles. How long did the trip take if the train was traveling at a rate of: Note * Use the d=rt formula (distance = rate * time). NOTE: You may not be able to solve for the variable. If you do not have enough information to solve for the variable then write the equation. 1) 50 mph 2) 70 mph 3) x mph 4) (x+10)mph 5) (x-5)mph
Answers
If a train traveled 300 miles. The time is, 6 hours, 4.29 hours, 300/x hours, 300/(x+10) hours,300/(x+5) hours.
How to find the time?Distance = Rate × Time
Time =Distance/Rate
1. 50 mph
Time = 300/50
Time = 6 hours
2. 70 mph
Time = 300/70
Time = 4.29 hours
3. x mph
Time = 300/x
Time = 300/x hours
4. (x+10)mph
300/(x+10) hours
5. (x-5)mph
300/(x-5) hours
Therefore the time is, 6 hours, 4.29 hours, 300/x hours, 300/(x+10) hours,300/(x+5) hours.
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Related Questions
You have been asked to analyze the popcorn recipes of three different local theatres in order to figure out which theatre has the best popcorn. In this case, the "best" popcorn is the most buttery! In your quest to find the best, you meet with each theatre manager individually and ask for the ratio of oil to popcorn kernels that they use in their recipes. Here are their responses. The manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight. The manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week. The manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday. Find the ratio value of oil to popcorn kernels for Theatre A. Type your answer as a number. Theatre A's recipe calls for cup oil for every cup of popcorn kernels.
Answers
Answer:
C is 6 / 32 = 3 / 16.
Step-by-step explanation:
Suppose that a balanced, six-sided die has been altered so that the faces are 1, 2, 3, 4, 5, and 5. If the die is tossed five times, and the number on the uppermost face is recorded each time, what is the probability that the numbers recorded are 1, 2, 3, 4, and 5 in any order
Answers
Answer:
0.0309
Step-by-step explanation:
Faces on dice ( 1, 2, 3, 4, 5, 5)
Number of outcomes = 6
With 5 repeated twice
P(event A) = Required outcome / Total possible outcomes
Required outcome :
Number of 5's = 2 * distinct faces!
Required outcome = 2 * 5! = 2 * 120 = 240
Total possible outcomes = (number of faces)^distinct Numbers = 6^5 = 7776
Required / total possible = 240 / 7776
= 0.0308641
= 0.0309
What ratio is equivalent to 3:9?
Answer choices:
24:54
18:54
36:81
Answers
Answer:
18 to 54
Step-by-step explanation: 3 times 6 is 18 and 9 times 6 is 54. These 2 are ratios equal to 3 to 9. I hope this helps brudda :D
- 4x - y = 4
y = 2x + 2
Answers
Answer:
Step-by-step explanation:
Answer:
Solution: (1,4)
Step-by-step explanation:
- 4x - y = 4
y = 2x + 2
We can use substitution
- 4x - 2x + 2 = 4
combine like terms
- 2x + 2 = 4
subtraction property of equality
- 2x + 2 - 2 = 4 - 2
-2x = 2
division property of equality
(-2x)/-2x = 2/2
x = 1
Now you can plug in the value of x into the second equation to find y
y = 2x + 2
y = 2(1) + 2
y= 2 + 2
y = 4
Solution: (1,4)
A contractor is constructing the house shown in the figure. The cross section
up to the roof is in the shape of a rectangle. The area of the rectangular floor
of the house is 1500 square feet. Express the perimeter of the rectangular
floor, P, as a function of the width of the rectangle, X.
Answers
The perimeter of the rectangular floor is the sum of its dimensions
The perimeter function is \(\mathbf{P(x) = \frac{2x^2 + 3000}x}\)
The area of the rectangular floor is given as: 1500
The area of a rectangle is calculated as:
\(\mathbf{Area = xy}\)
Where: x and y represents the width and the length of the floor, respectively.
So, we have:
\(\mathbf{xy = 1500}\)
Make y the subject
\(\mathbf{y = \frac{1500}x}\)
The perimeter of the rectangular floor is:
\(\mathbf{P = 2(x + y)}\)
Substitute \(\mathbf{y = \frac{1500}x}\)
\(\mathbf{P = 2(x + \frac{1500}x)}\)
Take LCM
\(\mathbf{P = 2(\frac{x^2 + 1500}x)}\)
Open bracket
\(\mathbf{P = \frac{2x^2 + 3000}x}\)
Express as a function
\(\mathbf{P(x) = \frac{2x^2 + 3000}x}\)
Hence, the perimeter function is \(\mathbf{P(x) = \frac{2x^2 + 3000}x}\)
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The table shows three unique functions.
x f(x) g(x) h(x)
-2
4
6
-3
-1
1
2
1
4-
2
1
1
55 752
6
8
1
Hit
6:
Mark this and return
-25
Which statements can be used to compare the
characteristics of the functions? Select two options.
Of(x) has an all negative domain.
g(x) has the greatest maximum value.
All three functions share the same range.
Oh(x) has a range of all negative numbers.
All three functions share the same domain.
Answers
Answer:
The statements that can be used to compare the characteristics of the functions are:
1. g(x) has the greatest maximum value.
2. All three functions share the same domain.
Explanation:
- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.
- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.
- We can see that g(x) has the highest maximum value among the three functions, which is 8.
- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.
- We cannot say anything about the domain or range of f(x) based on the given table.
- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.
Simplify (ab2 + 10 + a) – (6ab2 - 2ab + 8). I want it with steps please
Answers
➙ ( ab² + 10 + a ) - ( 6ab² - 2ab + 8 )
➙ ab² + 10 + a - 6ab² + 2ab - 8
➙ ab² - 6ab² + a + 2ab + 10 - 8
➙ -5ab² + 2ab + a + 2
➲ More information:
Polynomial s in two variables are algebraic expressions consisting of terms in the form of a x n y m .When adding or subtracting terms that have exactly the same same variable, we either add or subtract the coefficients .Explain how to graph the given piecewise-defined
function. Be sure to specify the type of endpoint each
piece of the function will have and why.
f(x)
X + 3, x < 2
3,
2 ≤ x < 4
4 - 2x,
X 2 4
Answers
The Piecewise -Defined function and how it is graphed is given below..
What is the explanation of how the Piecewise -Defined function is graphed?
Given the function in the attached image,
The Graph of f(x) = -x + 3 is drawn for x less than 2 because x is bounded.The Graph of f(x) = 3 is draw for x greater than and equal to 2 and less than 4 because x is bounded.The Graph of f(x) = 4 - 2x is draw for x greater than equal to 4 because x is bounded.See the attached Graph for better understanding.
f(x) = -x + 3 is coded purple.f(x) = 3 is coded orange.f(x) = 4 - 2x is coded green.Learn more about Piecewise -Defined function:
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Each person at a
baseball game receives 3 raffle tickets
and a $2 certificate for the team store.
A group of people receives 39 raffle
tickets. How much money in certificates
does the group receive?
Answers
In a case whereby baseball game receives 3 raffle tickets and a $2 certificate for the team store. A group of people receives 39 raffle tickets the amount of money in certificates the group receive is $26.
How can this be calculated?If one baseball game receives 3 raffle tickets and a $2 certificate for the team store, then we can say that each raffle ticket is worth 2/3 dollars ($2 divided by 3 tickets).
So, for 39 raffle tickets, the group would receive (39 x 2/3) = $26
Therefore, the amount of money in certificates the group receive is $26
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Abagail bought 5 cartons of apple juice at lunch. Each carton held 300 milliliters of juice. How many milliliters of apple juice did she buy in all?
Answers
Answer:
1500ml
Step-by-step explanation:
300 x 5 = 1,500ml
Please mark me brainliest! Hope this helps!
God bless :)
Help a brother out (The numbers are options btw)
Answers
Answer:
3 is incorrect
Step-by-step explanation:
ab is too long so if it were multiplied twice itd be no where near ac
Which situation can be represented by this inequality? 135 ≤ 10r + 15 Question 8 options: Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs? Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs? Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs? Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?
Answers
Answer:
Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?
Step-by-step explanation:
took test 100%
A golf ball rolls at a speed of 8 m/s for 12 seconds. Mandy hits the golf ball and it rolls
for 16 seconds at a speed of 12 m/s. What is the total distance travelled by the golf ball?
Answers
Using the given information, the total distance travelled by the golf ball is 288 m
Calculating the total distance travelled by the golf ballFrom the question, we are to calculate the total distance travelled by the golf ball
The distance travelled by the golf ball can be calculated by using the formula,
Distance = Speed × Time
From the given information,
The golf ball rolls at a speed of 8 m/s for 12 seconds
Thus,
The distance travelled at this time is
Distance = 8 m/s × 12 s
Distance = 96 m
Also,
Mandy hits the golf ball and it rolls for 16 seconds at a speed of 12 m/s
The distance travelled at this time is
Distance = 12 m/s × 16 s
Distance = 192 m
The total distance travelled by the golf ball is 96 m + 192 m
=
Hence, the total distance travelled by the golf ball is 288 m
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What rule can you come up with if you have to multiply to get a positive number and add to get a negative number?
Answers
Answer:
Two signs
When adding positive numbers, count to the right.
When adding negative numbers, count to the left.
When subtracting positive numbers, count to the left.
When subtracting negative numbers, count to the right.
Step-by-step explanation:
Rewrite (2x+v)^2 without parentheses and simplify
Answers
Answer:
\(4x^2+4vx + v^2\)
Step-by-step explanation:
\((2x+v)^2 \\(2x)^2+2(2x)(v)+(v)^2\\4x^2+4vx + v^2\)
I need help with this
Answers
PLEASE HELP WILL GIVE BRAINLIEST TO FIRST ANSWER
Answers
Answer:
95 F, 28 C, Above, Below
Step-by-step explanation:
.
Answer:
95ºF
27.5ºc
above
below
A high school has 44 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players
weighing greater than or equal to 167 pounds?
Answers
The percentage of players weighing greater than or equal to 167 pounds is 75%.
What percentage of students weigh greater than 167 pounds?A box plot is used to study the distribution and level of a set of scores. On the box, the first line to the left represents the lower (first) quartile. 25% of the score represents the lower quartile.
On the box plot, the lower quartile is 167.
Students that weigh greater than 167 = 100 - 25 = 75%
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The perimeter of any rectangle in which the length is 4 more than twice the width is P = 6 w + 8 , where w is the width. Which formula can be used to find the width given the perimeter? Multiple choice question. cross out A) w = P − 4 3 cross out B) w = 1 6 P − 8 cross out C) w = − P + 8 6 cross out D) w = P − 8 6
Answers
Answer: option D
Step-by-step explanation:
Given equation:
P = 6 w + 8 [eq1]
l=2w+4 [where l is length]
using eq1 we have:
6w=P-8
w=(P-8)/6
hence option D
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Find each angle measure.
Figures are not drawn.!!
Answers
Answer: See explanation
Step-by-step explanation:
1 . 61
2 124
3 27
4 29
1) Lithium isotope rations are important to medicine, the 6Li/7Li ratio in a standard reference material was measured several times, and the values are: 0.082601, 0.082621, 0.082589, 0.082617, 0.082598. Please use student’s t to find the confidence interval at the 95% confidence level. 2) If one wants the confidence interval to be two thirds of the previous one, how many times should a student repeat? (Assuming the standard deviation is the same as the previous one)?
Answers
Answer:
1) \(0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588\)
\(0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219\)
b) \( ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653\)
And we want 2/3 of the margin of error so then would be: \( 2/3 ME = 0.00001111\)
The margin of error is given by this formula:
\( ME=z_{\alpha/2}\frac{s}{\sqrt{n}}\) (1)
And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:
\(n=(\frac{z_{\alpha/2} s}{ME})^2\) (2)
Replacing we got:
\(n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12\)
So the answer for this case would be n=12 rounded up to the nearest integer
Step-by-step explanation:
Information given
0.082601, 0.082621, 0.082589, 0.082617, 0.082598
We can calculate the sample mean and deviation with the following formulas:
\( \bar X= \frac{\sum_{i=1}^n X_i}{n}\)
\(s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}\)
\(\bar X=0.0826052\) represent the sample mean
\(\mu\) population mean
s=0.000013424 represent the sample standard deviation
n=5 represent the sample size
Part 1
The confidence interval for the mean is given by the following formula:
\(\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}\) (1)
The degrees of freedom, given by:
\(df=n-1=5-1=4\)
The Confidence level is 0.95 or 95%, and the significance would be \(\alpha=0.05\) and \(\alpha/2 =0.025\), the critical value would be using the t distribution with 4 degrees of freedom: \(t_{\alpha/2}=2.776\)
Now we have everything in order to replace into formula (1):
\(0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588\)
\(0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219\)
Part 2
The original margin of error is given by:
\( ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653\)
And we want 2/3 of the margin of error so then would be: \( 2/3 ME = 0.00001111\)
The margin of error is given by this formula:
\( ME=z_{\alpha/2}\frac{s}{\sqrt{n}}\) (1)
And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:
\(n=(\frac{z_{\alpha/2} s}{ME})^2\) (2)
Replacing we got:
\(n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12\)
So the answer for this case would be n=12 rounded up to the nearest integer
Solve for
x
4
x
+
6
<
2
x
+
1
Give your answer as an improper fraction in its simplest form.
Answers
Answer:
\( \huge \red { \boxed{ \blue{ \boxed{ \tt \: x < - \frac{5}{2} }}}}\)Step-by-step explanation:
to understand thisyou need to know about:inequalityequationPEMDASgiven:\( \text{4x + 6 < 2x + 1}\)to find:\( \text{x}\)tips and formulas:the direction of inequality does not change
when you
Add (or subtract) a number from both sidesMultiply (or divide) both sides by a positive numberSimplify a sidethe direction of inequality does change
when you
Multiply (or divide) both sides by a negative numberSwapping left and right hand sideslet's solve:
\(step - 1 : define\)
\(4x + 6 < 2x + 1\)
\(step - 2 : solve \: for \: x\)
\( \tt{cancel \: 6\:from \: both \: sides} \\ \tt{4x + 6 - 6 < 2x + 1 - 6} \\ \tt 4x < 2x - 5\)\( \tt cancel \: 2x \: from \: both \: sides \\ \tt 4x - 2x< 2x - 2x - 5 \\ \tt 2x < - 5\)\( \tt divide \: both \: sides \: by \: 2 \\ \tt\frac{2x}{2} < \frac{ -5 }{2} \\ \tt x < - \frac{5}{2} \)7. N.CN.7 Determine the zeroes for the equation below. Select all that apply.
x² - 6x +13=0
A. 1
B. 5
C. 13
D. -3 + 2i
E. 3+2i
F. 3+4i
G. 6 + 4i
H. 3-21
I .6-41
Answers
Answer:
D. -3 + 2i and E. 3+2i are the zeroes for the equation.
Step-by-step explanation:
No scale is shown on a map of a wilderness area. The distance between Rose Lake and the main road is 6 miles. On the map it is 3 inches. The distance from Rose Lake to the hiking trail is 2 inches. What is the actual distance in miles between Rose Lake and the hiking trail? A. 4 mi. B. 9 mi. C. 12 mi. D. 18 mi.
Answers
Answer:
B. 9mi
Step-by-step explanation:
pls make me brainliest
Xavier is buying fencing to surround his garden if his garden has a perimeter of 30 yards and fencing cost six dollars a yard how much money will he need for the fencing
Answers
Answer:
$180
Step-by-step explanation:
If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180
identify the vertex, axis of symmetry, maximum or minimum for each of the following quadratic equations
Answers
Answer: see below
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k where
"a" is the vertical stretch (positive = min [U], negative = max [∩])(h, k) is the vertexAxis of Symmetry is always: x = hDomain is always: x = All Real NumbersRange is y ≥ k when "a" is positive or y ≤ k when "a" is negative6) y = 3(x - 1)² + 0
↓ ↓ ↓
a= + h= 1 k= 0
Vertex: (h, k) = (1, 0)
Axis of Symmetry: x = h → x = 1
Max/Min: "a" is positive → minimum
Domain: x = All Real Numbers
Range: y ≥ k → y ≥ 0
7) y = -1/2(x + 6)² - 7
↓ ↓ ↓
a= - h= -6 k= -7
Vertex: (h, k) = (-6, -7)
Axis of Symmetry: x = h → x = -6
Max/Min: "a" is negative → maximum
Domain: x = All Real Numbers
Range: y ≤ k → y ≤ -7
8) y = -(x - 0)² - 3
↓ ↓ ↓
a= - h= 0 k= -3
Vertex: (h, k) = (0, -3)
Axis of Symmetry: x = h → x = 0
Max/Min: "a" is negative → maximum
Domain: x = All Real Numbers
Range: y ≤ k → y ≤ -3
check it please and tell me
if you
earn 96 aweek
that
How much
month
Answers
Answer:
384
Step-by-step explanation:
since there are like 4 weeks in a month so u do
96 multiplied by 4 =384
Answer:
$ 417
Step-by-step explanation:
There's about 4.3452381 weeks in a month and if you multiply the 96 with 4.3452381. You will get 417.142858 and if you round it. You will get about 417 dollar a month.
32q+4= please help me
Answers
Answer:
q = -1/8
Step-by-step explanation:
You're trying to solve for q
32q+4=0
Subtract 4 both sides
32q=-4
Now Divide -4 by 32 (This means you have to simplify)
-4/32 = -1/8 due to the common factor of 4.
q = -1/8
Answer:
4(8q+1)
Step-by-step explanation:
32q+4
4*8q+4*1
4(8q+1)
basically almost finished it just stuck on the last part. The angle of elevation to a nearby tree from a point on the ground is
measured to be 46°. How tall is the tree if the point on the ground is 12 feetfrom the tree? Round your answer to the nearest tenth of a foot if necessary.
Answers
Answer:
12.4 ft
Step-by-step explanation:
Everything is done right so far.
Now to calculate the height of the tree, 12tan46, put the equation into a calculator.
Either a graphing calculator (make sure it is in degrees, not radians),
or the one on your phone (turn your phone landscape in the calculator app to get the trig functions.))
12tan46= 12.4 ft
A sight-seeing tour bus can carry 68 people. If 330 people want to go sight-seeing on the bus, what is the minimum number of trips the bus will have to make to accommodate everyone?
Answers
The minimum number of trips the bus will have to make to accommodate everyone is 5.
To find the minimum number of trips the bus needs to make, we divide the total number of people by the capacity of the bus.
1. Divide the total number of people (330) by the capacity of the bus (68):
330 / 68 = 4.85 (rounded to the nearest whole number)
2. The result is approximately 4.85, which means that 4 trips will not be enough to accommodate everyone.
3. Since we can't have a fraction of a trip, we need to round up to the nearest whole number to ensure that everyone is accommodated.
4. Therefore, the minimum number of trips the bus will have to make is 5, as it will require 5 full trips to transport all 330 people.
It's important to note that on the fifth trip, the bus will not be completely full, as only 10 people will be left to transport. However, this is the minimum number of trips needed to ensure that everyone can go sight-seeing on the bus.
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