Answer:
That number rounds to the nearest hundredth to this number: 382.99
I will mark you brainiest!!!
A passenger train left the station and traveled toward Las Vegas at an average speed of 55mph. A cattle train left at the same time and traveled in the opposite direction with an average speed of 65mph. Which equation best represents this situation when the trains are 960 mi apart?
A - 65x - 55(2) = 960
B - 65x - 55x = 960
C - 65x + 55(2) = 960
D - 65x + 55x = 960
E - 65(2) + 55x = 960
Answer:
The answer is b
Step-by-step explanation:
The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:
55x + 65x = 960
Simplifying the left-hand side of the equation, we get:
120x = 960
Dividing both sides by 120, we get:
x = 8
Therefore, the correct equation is:
B - 65x - 55x = 960
Is 72 km/h faster than 20 m/s
Answer:
no.both are equal.
Step-by-step explanation:
72 km/h=72000/(60×60)=20m/s
Answer:
They are equal
Step-by-step explanation:
72 Kilometers per Hour equals the same as 20 Meters per Second.
Solve the triangle ABC with ∠B = 90◦, ∠A = 36◦ and c = 100.
Answer:
<C = 54 degrees
b = 123.6
a = 72.6
Step-by-step explanation:
<C = 180 - 90 - 36 = 54 degrees
b = 100/sin54 = 123.6
a = sqrt (123.6^2 - 100^2) = 72.6
WILL GIVE BRAINLEST AND LOADS OF POINTS IF CORRECT!!! Please help me
Answer:
I think it is D.
Step-by-step explanation:
Good luck! :D
Complete the equation of the line through (-10,-7) and (-5, -9).
Use exact numbers.
y =
Answer:
y=2/5x-3
Step-by-step explanation:
So, first, let's find the slope. m=y1-y2/x1-x2. We will use our points and plug them into this equation. -9-(-7)/-5-(-10)=2/5. Our slope is 2/5. Now, let's find the y-intercept. We only need 1 point, I will choose (-10,-7). y=mx+b will help us find the y-intercept. -7=2/5(-10)+b. B is the y-intercept. -7=-4+b. -7-(-4)=-3. Our y-intercept is -3. So, using our y-intercept and slope, the equation is: y=2/5x-3
PLS HELP W MATH FINAL
Answer: ask ma th way
Step-by-step explanation: it gives you the right answer
If it takes 42 strokes to fill up 3/5 of a line of typing, how many more strokes will it take to complete the line?
Answer:
28 strokes
Step-by-step explanation:
The computation is shown below:
It is given that the 42 strokes are required to fill up the 3 by 5th
So for completing the line, the number of additional strokes required is
But before the total strokes required is
= 42 × 5 ÷ 3
= 70
This represent the total
so, the additional strokes is
= 70 - 42
= 28 strokes
Which expression represents the phrase 17 less than three times a number
This is an algebra expression. What we do is write it down in simplest form.
1. Write down equation
= 17 - 3 x n
= 3 x n + (-17)
I hope this answer helped. Have a great day everyone!
Consider these preferences defined overstudent submitted image, transcription available below2+ by (x1' , x2 ')student submitted image, transcription available below(x1'' , x2 '') if x1'+x2' < x1''+x2 '' , in which x1 is the total number of hours worked and x2 is the quantity of particle pollution inhaled.
(a) Are those preferences monotonic? Explain.
(b) Suppose the consumer has exogenous income m > 0 and has strictly positive prices p1 and p2. Which of these bundles would be taken by the consumer? Is the budget constraint binding? Explain why it cannot be that prices are strictly positive if all consumers similar preferences.
(c) Assume that prices are strictly negative. To simplify the interpretation we will denote p1 = −ω and p2 = −e, where ω > 0, e > 0. Furthermore, assume that the consumer has no exogenous income but an initial endowment of good 2, P > 0. Represent graphically the budget set of the consumer and give an economic interpretation: particularly, provide an interpretation of the initial endowment P. (Hint: when interpreting the budget constraint, try to isolate what corresponds to expenditures by the consumer and what corresponds to money earned by the consumer)
(d) Characterize the optimal selection of the consumer depending on whether ω > e or e > ω. You can solve the problem with a graph by drawing indifference curves alongside the budget set. Provide an interpretation of these choices.
a) Given preferences are not monotonic.
b) The budget constraint is binding and the consumer cannot afford that bundle.
c) The interpretation of these choices is that the consumer maximizes their utility.
(a) These preferences are not monotonic. Monotonicity means that if one bundle is preferred to another, any bundle with more of both goods should also be preferred. In this case, if x1'+x2' < x1''+x2'', it does not necessarily mean that x1'+x2' < x1''+x2'' for all bundles with more of both goods.
(b) To determine which bundle would be chosen by the consumer, we need to compare the total expenditure on each bundle to the consumer's income. If the total expenditure on a bundle is less than or equal to the consumer's income, then that bundle would be chosen.
If the total expenditure exceeds the consumer's income, then the budget constraint is binding and the consumer cannot afford that bundle.
(c) When prices are strictly negative (p1 = -ω, p2 = -e), the budget set can be represented graphically as a set of bundles that the consumer can afford.
The initial endowment P represents the amount of good 2 that the consumer already possesses without having to spend any money. It is a starting point for the consumer's choices.
(d) To characterize the optimal selection of the consumer, we need to consider whether ω > e or e > ω.
If ω > e, the consumer's optimal choice would lie on the highest attainable indifference curve that is tangent to the budget set.
If e > ω, the optimal choice would lie on the indifference curve that is tangent to the budget set at a point where the consumer exhausts their initial endowment P.
The interpretation of these choices is that the consumer maximizes their utility by selecting the bundle that provides the most satisfaction given their budget constraints and initial endowment.
Know more about the monotonic.
https://brainly.com/question/33180515
#SPJ11
a 40-kg crate is being raised with an upward acceleration of 2.0 m/s2 by means of a rope. what is the magnitude of the force exerted by the rope on the crate?
Answer:
472 N
Step-by-step explanation:
You want the force exerted by a rope accelerating a 40 kg crate upward at 2 m/s².
Net forceThe net force on the crate must be ...
F = ma
F = (40 kg)(2 m/s²) = 80 N . . . . upward
Downward forceThe downward force due to gravity is ...
F = ma
F = (40 kg)(9.8 m/s²) = 392 N
TensionThen the force exerted by the rope must be ...
tension - downward force = net force
tension = net force + downward force = (80 N) + (392 N)
tension = 472 N
The force exerted by the rope on the crate is 472 N, upward.
<95141404393>
the magnitude of the force exerted by the rope on the crate is 80 Newtons (N).
To determine the magnitude of the force exerted by the rope on the crate, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a):
F = m * a
Given:
Mass of the crate (m) = 40 kg
Acceleration (a) = 2.0 m/s²
Substituting these values into the equation, we can calculate the force exerted by the rope:
F = 40 kg * 2.0 m/s²
F = 80 N
To know more about equation visit:
brainly.com/question/10724260
#SPJ11
4.* 4. Students were asked how many hours a weeknight they spend on homework and exercise. The dot plots display the results. Which statement is not supported? Homework Exercise LG 2 3 4 5 Number of Hours 1 2 3 4 5 Number of Hours A. More time is spent on homework than exercise. B. The mode activity times are equal. C. The median exercise time is not equal to the median homework time. D. The range of homework hours is greater for homework than for exercise ОА
Analyze each statement to see if it is supported by the dot plots or not.
A) More time is spent on homework than exercise.
Find the total time spent on each activity to compare
In one year, Jason withdrew $1382.40 for school supplies. If he withdrew the same amount each month, how much money did he withdraw from his bank account monthly? Calculate your answer using long division.
Answer:
$115.20
Step-by-step explanation:
See attached image
2 points
In the morning, the temperature in Westfield City was -2°F. By afternoon,
a north wind caused the temperature to drop another 8°F. What was the
afternoon temperature in Westfield City? To solve the problem, Martin
subtracted -2-(-8) and came up with an answer of 6°F. Is Martin correct?
Why or why not?
The afternoon temperature in Westfield City is -10°F.
Martin is not correct.
Calculating TemperatureFrom the question, we are to determine the afternoon temperature in Westfield City
From the given information,
"In the morning, the temperature in Westfield City was -2°F"
and
"By afternoon, a north wind caused the temperature to drop another 8°F"
Thus,
The afternoon temperature = -2°F - 8°F
The afternoon temperature = -10°F
Hence, the afternoon temperature in Westfield City is -10°F.
Martin is not correct.
Learn more on Calculating temperature here: https://brainly.com/question/24746268
#SPJ1
If two forces act on a point, the resultant force (or magnitude of their sum) is the length of the diagonal of a parallelogram that includes the common point at a vertex. The lengths of the adjacent sides of the parallelogram represent the magnitudes of the two respective forces. If forces of 250 lbs and 170 lbs act at an angle of 46 to each other, determine the magnitude of their sum.
Therefore, the magnitude of the sum of the two forces is approximately 152.93 lbs.
What is angle?An angle is a measure of rotation or a figure formed by two rays called the sides of the angle, sharing a common endpoint, called the vertex of the angle. It is typically measured in degrees or radians and used in geometry to measure the amount of turn between two intersecting lines or segments.
Here,
To solve the problem, we can use the law of cosines, which relates the sides and angles of a triangle:
c² = a² + b² - 2ab*cos(C)
where c is the length of the diagonal (resultant force), a and b are the magnitudes of the two forces, and C is the angle between the forces.
In this case, we have a = 250 lbs, b = 170 lbs, and C = 46 degrees. We want to find c.
Plugging in the values, we get:
c² = (250)² + (170)² - 2(250)(170)*cos(46)
c² = 62500 + 28900 - 68005.76
c² = 23394.24
Taking the square root of both sides, we get:
c = √(23394.24) = 152.93 lbs (rounded to two decimal places)
To know more about angle,
https://brainly.com/question/14569348
#SPJ1
you are playing a game of hide - and - seek with two friends . while one of your friends counts , you and your other friend are given a chance to hide in one of five possible hiding spots . you are each allowed to pick a hiding spot , and are permitted to share a hiding spot . your friend finishes counting and checks one of the five hiding spots . assuming that everyone's decisions are made uniformly at random , what are the chances that your friend does not find anyone in the first spot that they check ?
The probability the friend finds no one in the first spot is 60%.
What is probability?Probability is the chance or likelihood that an expected event occurs when there are many possible outcomes or events.
For instance, the probability that when the counting friend goes to the hiding spot, they can or cannot find a friend there.
The two friends can only hide in 2 spots, leaving 3 spots with nobody.
The number of hiding spots = 5
The number of friends hiding = 2
The number of counting friends = 1
The number of spots they can hide = 2 out of 5
The probability of finding a person in a hiding spot = 2/5 or 40%
The probability of not finding a person in a hiding spot = 3/5 (1 - 2/5) or 60% (1 - 40%).
The chances that your friend finds anyone in the first spot are 60%.
Learn more about the probability at brainly.com/question/13604758
#SPJ1
Can someone help with this I’ll mark u as brainlist
Answer:i don’t really k ow but i need points to ask questions
Step-by-step explanation:
Students are making lemonade from a powdered lemon drink mix. Isaac mixes 3 cups of water and 2 cups of powdered lemon mix. Mariam mixes 5 cups of water and 4 cups of powdered lemon mix. Use Isaac and Mariam’s proportions of powdered lemon mix to determine whose mix will be more lemony.
Answer:
Ariana's percentage of lemon cups is 85%.
Andre's percentage of lemon cups is 48%.
Step-by-step explanation:
Ariana:
Lemon cups = 17
Total cups = 17 + 3 = 20
Percent of lemon cups.
= 17/20 x 100
= 17 x 5
= 85%
Andres:
Lemon cups = 10
Total cups = 11
Percent of lemon cups. = 10/21 x 100 = 48%
Alizeh plans on leaving her $10,000 invested for 20 years. Write an equation representing her investment’s value, y, after x years. What is the value of Alizeh’s investment after 20 years?
Answer:
$38696.84
Step-by-step explanation:
7% interest
so *1.07 per year
10,000*1.07^x=y
10,000*1.07^20=$38696.84
The equation that represent the value of Alizeh’s investment after 20 years is y = 1000(b)^20
Exponential equationThe increase in the amount of his money can be represented using the exponential function as shown:
y = ab^x
Given the following
a = 1000
x = 20 years
Substitute
y = 1000(b)^20
Hence the equation that represent the value of Alizeh’s investment after 20 years is y = 1000(b)^20
Learn more on exponential function here: https://brainly.com/question/12940982
#SPJ2
GIVING BRAINIEST IF CORRECT!!
Find the area of the shaded region.
Answer:
110 cm²
Step-by-step explanation:
17 · 8
136 cm²
4 · 1.5
6 cm²
5 · 4
20 cm²
20 cm² + 6 cm²
26 cm²
136 cm² - 26 cm²
110 cm²
Fuji apples grown at a certain orchard have a mean weight of 5.2 ounces with a standard deviation of 0.8 ounces. Suppose the scale the orchard owner uses systematically underweighs apples by 0.2 ounces and also weighs the apples in grams, rather than ounces. What would the mean and standard deviation of these apples' weights be as determined by this scale? (Note: 1 ounce ≈ 28 grams).
Answer:
Mean 140 grams
Standard deviation 22.4 grams
Step-by-step explanation:
What would the mean and standard deviation of these apples' weights be as determined by this scale? (Note: 1 ounce ≈ 28 grams).
Mean = 5.2 ounces.
First step would be to convert from ounces to grams
1 ounce = 28 grams
5.2 ounces =
5.2 ounces × 28 grams
= 145.6 grams
He underweighs by 0.2 ounces
We convert this too
1 ounce = 28 grams
0.2 ounce =
0.2 ounce × 28 grams
= 5.6 grams.
The new mean weight of the Fuji apples is grams = 145.6 grams - 5.6 grams = 140 grams.
Standard Deviation = 0.8 ounces.
Even though he underweighed that apples by 0.2 ounces, there has minimal effect on the standard deviation of the apples.
Hence, the standard deviation if the apples in grams =
1 ounce = 28 grams
0.8 ounce =
0.8 ounce × 28 grams
= 22.4 grams
A landscape gardener wishes to spread fertiliser on a semicircular garden bed that has a diameter of 4.7 m. How much fertiliser is required if the fertiliser is applied at the rate of 20 g per square metre? Give your answer to the nearest gram.
Answer:
Step-by-step explanation:
radius of semicircle =4.7/2 m
area of semicircle=1/2 πr²
=1/2 ×π×(4.7)²
≈8.67 m²
fertiliser=8.67×20
=173.4
≈173 gm
What is
y=-4x+2
y=6x-8
Answer:
x=1, y=-2
Step-by-step explanation:
\( - 4x + 2 = 6x - 8\)
\(2 = 10x - 8\)
\(10 = 10x\)
\(x = 1\)
\( - 4(1) + 2 = - 2\)
and
\(6(1) - 8 = - 2\)
so
\(y = - 2\)
I NEED HELP ON THIS ASAP! IT'S DUE TODAY!!!
Answer:
b = 8.485
c = 23.995 ≈ 24
Step-by-step explanation:
Part b:
\(\sqrt{(10-4)^2+(9-3)^2}\)
√(36 + 36)
= 8.485
Part c:
Base = \(\sqrt{(6-2)^2+(1-5)^2}\)
Base = 5.656
Area = Base x Height x 0.5
Area = 5.656 x 8.485 x 0.5
Area = 23.995 ≈ 24
Which of the following is an example of a rational number? Question 4 options: A) ∞ B) 3. C) D) 3.456733244…
Answer:
b
Step-by-step explanation:
The decimal number 3.4 terminating decimal. So, it is rational number. Therefore, option B is the correct answer.
What is the rational number?Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).
A) The decimal number 3.456733244… is not repeating and non recurring
So, it is irrational number
B) The decimal number 3.4 terminating decimal
So, it is rational number
C) Infinity is not a rational number because it is undefined as far as being an integer.
D) ∛4 =1.58740105197 is not repeating and non recurring
So, it is irrational number
The decimal number 3.4 terminating decimal. So, it is rational number. Therefore, option B is the correct answer.
To learn more about the rational numbers visit:
brainly.com/question/19161857.
#SPJ2
"Your question is incomplete, probably the complete question/missing part is:"
Which of the following is an example of a rational number?
A. 3.456733244…
B. 3.4
C. ∞
D. ∛4 =1.58740105197
Helppppppppppppppppppppppppppppppp
Answer:
2000 BCE
Step-by-step explanation:
The larger the BCE year, the older, so in this case, your answer is 2000 BCE.
Answer:
Step-by-step explanation:
Hi! We are currently in CE. CE is after BCE. The further left you go on the timeline means the earliest date. If it starts first, then it is the oldest. Hope this helps!
Choose the statement that best describes the error in finding the volume of the solid.
Answer:
the formula used gives surface area instead of volume
PLEASE HELP I DONT UNDERSTAND I’ll give u the brainliest thing
How do you solve quadratic equation using Completing the Square. Create your own example and state the steps.
Answer:
Now we can solve a Quadratic Equation in 5 steps:
Step 1 Divide all terms by a (the coefficient of x2).
Step 2 Move the number term (c/a) to the right side of the equation.
Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
Answer:
Example:
x^2+4x+3=0x^2+4x+4-1=0 here we add 1 to 3 and remove 1 to complete a square of (x+2) (x+2)^2 - 1=0 here we have square and 1 can be shown as 1^2using a^2-b^2= (a+b)(a-b) formula to factorize the polynomial(x+2)^2- 1^2=0(x+2+1)(x+2-1)=0(x+3)(x+1)=0x+3=0 and x+1=0now easily solved
George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2), B(2, 4), and C(6, 4). He wants to create another, similar-shaped garden, A′B′C′, by dilating triangle ABC by a scale factor of 0.5. What are the coordinates of triangle A′B′C′?
A.
A′(2, 2), B′(1, 2), C′(3, 2)
B.
A′(2, 1), B′(1, 2), C′(3, 2)
C.
A′(8, 4), B′(4, 8), C′(12, 8)
D.
A′(2, 1), B′(1, 2), C′(6, 4)
Answer:
Hi! The correct answer is B: A' = (2, 1), B' = (1, 2), and C'=(3, 2).
Step-by-step explanation:
Why? because dilating a shape is basically multiplying it with the scale factor, so since the dilating factor is 1/2, you just divide all the numbers by 2.
A fine fabric was selling for $10.50 per half yard. Joni bought 2 1/3 yards. How much did he spend? Brainliest for correct answer.
Answer:
45.5
Step-by-step explanation:
First you would find 1/3 third of 10.50 and it is 3.5, you would then do 10.50 x 4 since it said 10.50 per half a yard, so you would do times 4 and you would get 42, you would then add 42 + 3.5 which equals 45.5.
Answer:
$24.50
Step-by-step explanation:
10.50 * 2 1/3 = 24.50
I would appreciate brainliest, have an amazing day
a restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the other ingredients is $1.00 for each burrito.
Money made from selling burritos is positive . The cost of making burritos is negative. Profit is the money left after paying the cost.
How much profit would the restaurant make by selling 100 burritos?
1. How much money would the restaurant take in by selling 100 burritos?
Answer:
$550
Step-by-step explanation:
Answer:
The restaurant would take in $550 by selling 100 burritos
Step-by-step explanation:
First, we need to add all the expenses together and multiply by 100
1.50 + 1.00 = 2.50
2.50 x 100= 250
We know that the restaurant would charge $800 in total for the 100 burritos so now we subtract what it costs to make them.
800 - 250 = 550
Our final answer would be $550