Answer:
4.8, 135, 0.2822, 0.024
Step-by-step explanation:
4*1.2=4.8
7.5*18=135
0.34*0.83=0.2822
0.04*0.6=0.024
If the engine in a 1200 kg car could produce 10,000 N to accelerate from 0 to 27
m/s, how much time would that take?
Answer:
The time taken by engine of the car to accelerate is 3.24 seconds
Step-by-step explanation:
Given as :
The mass of the car = 1200 kg
The Force applied by engine to accelerate = 10, 000 N
The change in velocity = [tex]v_2[/tex] - [tex]v_1[/tex] = 27 m/s
Let The time taken by engine = t sec
And Let The acceleration = a m/s²
Now,
∵ Force is define as the product of mass and acceleration
I.e F = mass × acceleration
or, F = 1200 × a
or, 10,000 = 1200 × a
∴ a = [tex]\frac{10,000}{1200}[/tex] m/s²
I.e a = 8.33 m/s²
Now , Again
∵ Acceleration is define as the rate of change of velocity
I.e a = [tex]\dfrac{v_2-v_1}{t}[/tex]
or, a = [tex]\dfrac{27-0}{t}[/tex]
Or, t = [tex]\dfrac{27}{a}[/tex]
I.e t = [tex]\dfrac{27}{8.33}[/tex]
∴ t = 3.24 sec
So, The time taken = 3.24 seconds
Hence The time taken by engine of the car to accelerate is 3.24 seconds . Answer
Why is 3.4 * 910 is NOT correct scientific notation?
Explanation:
Scientific Notation is number between 1-10 multiplied by 10[tex]^{#}[/tex] (or e#) This has the 1-10 right but the other number incorrect.
The correct scientific notation is 3.4e+9.
Need to explanation why is 3.4 * 910 is not correct scientific notation.
Scientific notation means the longer value coded to short terms like 34000 to 3.4e+4.
Here 3.4*910 does not represent any thing because the correct manner for the scientific notation is ae + b. Where a = value and b =power to the 10.
so the correct scientific notation is 3.4e+9.
Thus, 3.4 * 910 is not correct scientific notation, the correct scientific notation is 3.4e+9.
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hey can anyone help me with this problem
Answer:
The speed of River's mom drove for 10 miles distance is 0.234 mph.
The speed of River's mom drove for 25 miles is 10.234 mph.
Step-by-step explanation:
Given as :
The first distance cover by River's mom = 10 miles
The rate of speed = x mph
The second distance cover by river's mom = 25 miles
The rate of speed = x + 10 mph
The total driving time = 45 min
Now, According to question
[tex]Time = \frac{Distance}{Speed}[/tex]
So, [tex]45 = \frac{10}{x}+\frac{25}{x+10}[/tex]
Now dividing by 5 on both side we get;
[tex]9=\frac{2}{x}+\frac{5}{x+10}\\\\9= \frac{2(x+10)+5x}{x(x+10)}\\\\9= \frac{2x+20+5x}{x^2+10x}\\\\9(x^2+10x)= 7x+20\\9x^2+90x-7x-20=0\\9x^2+83x-20=0[/tex]
Solving this quadratic equation we get;
[tex]x=\frac{-b\±\sqrt{4ac}}{2a}[/tex]
[tex]x=\frac{-83\±\sqrt{4\times9 \times 20}}{2\times 9}\\\\x= \frac{-83\±\sqrt{720}}{18}\\ \\x= \frac{-83+87.22}{18} \ \ \ or \ \ x = \frac{-83-87.22}{18}\\\\x= 0.234 \ \ \ or\ \ \ \ x= - 9.4567[/tex]
Since speed cannot be in negative hence we will consider x= 0.234
So, The speed for 10 miles distance = x = 0.234 mph
and The speed of 25 miles = x + 10 = 0.234 + 10 = 10.234 mph
Hence The speed of River's mom drove for 10 miles distance is 0.234 mph
and The speed of River's mom drove for 25 miles is 10.234 mph
If the probability of surviving a head on car accident at 55 mph is 0.097, then what is the probability of not surviving
The probability of not surviving a head-on car accident is: 0.903
Step-by-step explanation:
The probabilities of occurrence and non-occurrence of an event add up to one.
If p is the probability that an even will happen and q is the probability that it will not happen
Then
[tex]p+q=1[/tex]
Here,
Probability of surviving = p = 0.097
Probability of not surviving = q = ?
[tex]0.097 + q = 1\\q = 1 - 0.097\\q = 0.903[/tex]
The probability of not surviving a head-on car accident is: 0.903
Keywords: Probability, Inverse
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please help! 9,000÷900=?
Answer:it is 10%
Step-by-step explanation:
Here is the question
|
|
|
|
v
Answer:
16.5 square feet
Step-by-step explanation:
The logo consists of
rectangle with sides of 3 ft and 1.5 ft;trapezoid with bases 3 ft, 4 ft and height of 3 ft;triangle with base of 1.5 ft and height of 2 ft.The area of rectangle:
[tex]A_{rectangle}=1.5\ ft\times 3\ ft=4.5\ ft^2[/tex]
The area of trapezoid:
[tex]A_{trapezoid}=\dfrac{3\ ft+4\ ft}{2}\times 3 \ ft=3.5\ ft\times 3 \ ft=10.5 \ ft^2[/tex]
The area of triangle:
[tex]A_{triangle}=\dfrac{1}{2}\times 1.5\ ft\times 2 \ ft=1.5\ ft^2[/tex]
Hence, the area of logo:
[tex]A=A_{rectangle}+A_{trapezoid}+A_{triangle}=4.5\ ft^2+10.5\ ft^2+1.5\ ft^2=16.5\ ft^2[/tex]
Solve each system of equations by constructing a table. Equation 1: y = 2x + 2
Equation 2: y = -x + 8
Answer:
x=2, y=6. (2, 6).
Step-by-step explanation:
y=2x+2
y=-x+8
-------------
2x+2=-x+8
2x-(-x)+2=8
2x+x=8-2
3x=6
x=6/3
x=2
y=2(2)+2=4+2=6
2.50+ 1.50(m-1)=17.50
Answer: m = 11
Step-by-step explanation: Isolate the variable by dividing each side by facotrs that don't contain the variable.
Hope this helps you out! ☺
Answer:
m = 11
Step-by-step explanation:
To find m, we solve this equation:
2.50+ 1.50(m-1)=17.50
We subtract 2.50 from both sides:
1.50(m-1) = 15
Next we divide by 1.5 on both sides:
m - 1 = 10
Lastly we add one to both sides:
m = 11
8/v + 9/x=y Solve for v
The answer is v= -8x/-xy+9
Here is the step by step process (This is going to be long):
1. 9v+8x=vxy
Multiply both sides by vx
2. 9v+8x+−vxy=vxy+−vxy
−vxy+9v+8x=0
Add -vxy to both sides
3. −vxy+9v+8x+−8x=0+−8x
−vxy+9v=−8x
Add -8x to both sides
4. v(−xy+9)=−8x
Factor out the variable v
5. v(-xy+9)/-xy+9 = -8x/-xy+9
v = -8x/-xy+9
Divide both sides by -xy+9
how do you solve this? need help asap!! find y!!
Answer:
x = 21 degrees
y = 66 degrees
Step-by-step explanation:
Supplementary angles sum 180 degrees and complementary angles sum 90 degrees.
The first two upper angles are supplementary since they complete half a turn of a circle.
The relation is
(3x+5)+(6x-14)=180.
Joining like terms
9x-9=180
Dividing by 9
x - 1= 20 =>
x = 21 degrees
The first and the last angle are the same because they are formed by two parallel lines to a common side, so
3x-5=y-8 or
y=3x+3 = 63+3 =>
y = 66 degrees
In the spinner below, the large wedges are twice the size of the smaller ones. What is true about the probability of landing on 2 and the probability of landing on 3?
A.The probability of landing on 2 is half the probability of landing on 3.
B.The probabilities cannot be predicted.
C.The probabilities are equal.
D.The probability of landing on 2 is twice the probability of landing on 3.
Answer:
C
Step-by-step explanation:
I would like to say c because it could land on anyone at any given time. I wish I knew a definite answer.
Answer:
The probability of landing on two is twice the probability of landing on 3.
Step-by-step explanation:
The reason for this is because the section 2 is twice the size of section 3 it means that the probability of landing on two is twice the probability of landing on number 3.
Disney held a breakfast for parents and their children to eat with Mickey mouse. adult tickets cost $17.95 and children's tickets cost $12.95. Disney made $7355 in ticket sales from a total of 500 people that attended. How Many adults and children were at the breakfast?
Answer:
The number of children attending = 324
The number of adults attending = 176.
Step-by-step explanation:
Here, the total number of people attending = 500
Let us assume the umber of children attending the breakfast = m
So, the number of adults attending the breakfast = 500 - m
Cost of ticket for each children = $12.95
So, the cost of m children's tickets = m x ( Cost of 1 children ticket)
= m x ( $12.95) = 12.95 m .... (1)
Cost of ticket for each adult = $17.95
So, the cost of (500 -m) adults's tickets
= (500 - m) x ( Cost of 1 adult ticket) = (500 -m) x ( $17.95)
= 8,975 - 17.95 m .... (2)
Now, the total earnings from the total ticket sold = $7355
So, The earning from ( Adult's + children's tickets) = $7355
⇒ 12.95 m + 8,975 - 17.95 m = $7355
or, - 5 m = 7355 - 8975 = -1620
or, m = 1620/5 = 324
⇒ m =324
Hence the number of children attending = m = 324
The number of adults attending = 500 - m = 500 - 324 = 176.
Final answer:
There were 176 adults and 324 children present.
Explanation:
We are given the prices of adult and child tickets, as well as the total revenue and number of people. By setting up two equations, we can solve for the number of adults and children. Let's define adults as A and children as C.
From the given information, we can set up the following equations:
The total revenue from the tickets is $7355: 17.95A + 12.95C = 7355
We can use the substitution or elimination method to solve these equations. If we express C from the first equation as C = 500 - A and substitute it into the second equation, we get:
17.95A + 12.95(500 - A) = 7355
Which simplifies to:
17.95A + 6475 - 12.95A = 7355
Combining like terms, we get:
5A = 880
Thus:
A = 176
Substituting A back into the equation for C, we have:
C = 500 - 176 = 324
Therefore, there were 176 adults and 324 children at the Disney breakfast event.
What type of food it bad for you to eat too much of?
Answer:
sugar and also meat
Step-by-step explanation:
Answer: red meat you should balance your diet with chicken and red meat
Step-by-step explanation:
PLZ HELP THIS IS TIMED! Find the value of xxx in the isosceles triangle shown below.
Answer:
x = 10
Step-by-step explanation:
Given isosceles triangle with legs equal to [tex]\sqrt{74}[/tex] units. The height of 7 units divides this triangle into two congruent right triangles. The height of the isosceles triangle drawn to the base is its median to, so the height divides the base into two equal segments with length of [tex]\frac{x}{2}[/tex] units.
By th Pythagorean theorem,
[tex]\left(\dfrac{x}{2}\right)^2+7^2=(\sqrt{74})^2\\ \\\dfrac{x^2}{4}=74-49\\ \\\dfrac{x^2}{4}=25\\ \\\dfrac{x}{2}=5\\ \\x=2\cdot 5\\ \\x=10\ units[/tex]
Answer:
10
Step-by-step explanation:
You have a gift card for a coffee shop worth $90. Each day you use the card to get a coffee for $4.10. what is the value of the card after you buy your 8th coffee
Answer:
$57.20
Step-by-step explanation:
So the card starts off with $90, we spend $4.10 each day
To figure this out quick, take $4.10 and multiply it by 8
$4.10 x 8 =$32.80
Now subtract:
$90 - $32.80 = $57.20
1. Find the side length of a square whose area is 252 cm². Show all your work and write the final answer in its
simplest form.
[tex]s = {a}^{2} [/tex]
[tex]252 = {a}^{2} [/tex]
[tex]a = \sqrt{252} [/tex]
[tex]a = 15.87[/tex]
That's how I did it, I don't know if it's right or not.
An animal shelter has 9/10 of crates filled with animals.1/2 of the crates are holding dogs . What fraction of total number of crates are holding digs
Answer: 9/20
Step-by-step explanation:
9/10 is given as the fraction of the crates filled with animals , 1/2 of this fraction holds dog , that is
1/2 of 9/10
= 1/2 x 9/10
= 9/20
Therefore the fraction of the total number of crates holding dog is 9/20
The number m divided by 10 leaves a remainder of 1, and the number n divided by 10 leaves a remainder of 4. What will be the remainder of m+n divided by 5?
Answer: 10
Step-by-step explanation:
m divided by 10 = 1 so m is 10
n divided by 10 = 4 so n is 40
m + n is equal to 40 + 10 which is 50.
Divide 50 by 5 and you get 10!
Please help ASAP. Quadrilateral CDEF is inscribed in circle A. If the m∠C = 7x + 11° and m∠E = 7x + 1°, what is the measure of ∠E?
A) 95
B) 99
C) 81
D) 85
Answer:
The answer is D
Step-by-step explanation:
∠C + ∠E = 180°(consecutive angles)
7x +11° + 7x + 1° = 180°
14x + 12° = 180°
14x = 168°
x = 12°
∠E = 7x + 1°
= 7(12°) + 1
= 85°
The measure of ∠E is 85 degrees
How to determine the measure of E?To calculate the measure of E, we start by calculating the value of x using:
∠C + ∠E = 180° (consecutive angles of cyclic quadrilateral)
So, we have:
7x +11° + 7x + 1° = 180°
Evaluate the like terms
14x + 12° = 180°
Subtract 12 from both sides
14x = 168°
Divide both sides by 14
x = 12°
Recall that:
∠E = 7x + 1°
Substitute 12 for x
∠E = 7(12°) + 1
Evaluate
∠E = 85°
Hence, the measure of ∠E is 85 degrees
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Find z a/2 for a=0.06
Answer:
z is 0.03
if you divide 0.06/2= 0.03
Step-by-step explanation:
A used-boat dealership buys a boat for $2900 and then sells it for $4500. What is the percent increase?(Round to the nearest whole number as needed.)
Answer:
55%
Step-by-step explanation:
We have to divide the new price by the original price
4500/2900 = ca. 1.5517
Take away 100% from this answer and we get 0.5517 over the original price
This is the same as 55.17% can be rounded to 55%
To find the percent increase in the boat's price, subtract the original price from the selling price, divide by the original price, then multiply by 100 and round to the nearest whole number. The calculation shows about a 55% increase from the original price of $2900 to the selling price of $4500.
Explanation:To calculate the percent increase, you would subtract the original price of the boat from the selling price and then divide by the original price to get the fraction of the increase. Finally, you multiply this fraction by 100 to convert it to a percentage. Using the given numbers: The original price is $2900, and the selling price is $4500.
Subtract the original price from the selling price: $4500 - $2900 = $1600Divide the increase by the original price: $1600 / $2900 ≈ 0.5517241379Multiply by 100 to convert to a percentage: 0.5517241379 × 100 ≈ 55.17%When you round this to the nearest whole number, you get a percent increase of 55%.
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Evaluate y+8 for y=-10
Answer:
Then,
y=10-8
y=2
Step-by-step explanation:
solve the equation
Answer:
Step-by-step explanation:
-10+8= -2
Solve each equation. Round to the nearest tenth, if necessary. z2 = 361
Answer:
180.5
Step-by-step explanation:
2z=361
z=361/2=180.5
SOMEONE PLEASE HELP I DON'T GET THIS!!
HI umm.. I can see the thing that you need help with sorry not trying to be rude but what do you need help with?
How many packs of DVD’s can you buy with 198 dollars if one pack cost 18 dollars
Answer:
you can get 11 DVDs if they cost 18 dollars
Answer:
Step-by-step explanation:
198/18=11. You can buy 11 packs
Your family loves turkey uncle Billy 1/4 of the turkey cousin Chris ate 15% of the turkey cousin Timmy ate 0.3 of the turkey and Little Dave ate 12% of the turkey who ate the most turkey?
Answer:
Timmy
Step-by-step explanation:
He ate 30% of it
Timmy-30%
Chris- 15%
Little Dave-12%
Answer:
timmy
Step-by-step explanation:
he ate the most because he is fat
Create an expression that you would use to solve the problem below.
YOU DO NOT NEED TO SOLVE. Just set up the expression to represent the situation below.
A tool rental cost $0.65 per minute. If the total bill for the rental was $18.20, then for how many minutes was the tool used?
The tool was used for 28 minutes
Step-by-step explanation:
We will use simple division to calculate the number for minutes for which the tool was rented
Given
Cost per minute = $0.65
Total cost = $18.20
Let x be the number of minutes
So,
x = [tex]\frac{Total\ cost}{Cost\ per\ minute}\\= \frac{18.20}{0.65}\\=28\ minutes[/tex]
The tool was used for 28 minutes
Keywords: Division, Linear equation
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The tool was used for 28 minutes
Step-by-step explanation:
We will use simple division to calculate the number for minutes for which the tool was rented
Given
Cost per minute = $0.65
Total cost = $18.20
Let x be the number of minutes
So,
x =
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Brisa went shoe shopping this
weekend found some boots for $25
with 8% tax
Tax:
Total:
This is part of my study guide for a test I missed, please help me asap!!
Tax: $2
Total: $27
Step-by-step explanation:
Given,
Price of boots = $25
Tax = 8%
Amount of tax = 8% of price of boots
[tex]Amount\ of\ tax = \frac{8}{100}*25\\Amount\ of tax=\frac{200}{100}\\Amount\ of\ tax=\$2[/tex]
Total = Price of boots + Tax amount
[tex]Total = 25+2=\$27[/tex]
Tax: $2
Total: $27
Keywords: sales tax, addition
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what value of k makes the factor (x+3) a factor of the function f(x)=3x^3-2x+k?
Final answer:
To find the value of k that makes (x+3) a factor of the function f(x)=3x^3-2x+k, substitute x=-3 into the equation, leading to the solution k=75.
Explanation:
The question asks for the value of k that makes (x+3) a factor of the function f(x)=3x³-2x+k. To solve this, we use the fact that if (x+3) is a factor of f(x), then f(-3)=0. Therefore, we substitute x=-3 into the equation and solve for k.
Substituting x=-3 into f(x)=3x³-2x+k gives:
f(-3) = 3(-3)³- 2(-3) + k = -81 + 6 + k
Since f(-3)=0, we have -75 + k = 0
Thus, k = 75
This computation shows that the value of k that makes (x+3) a factor of the given function is 75.
What is the solution to the system of equations? 3x-6y=-12 " " x-2y=10 Use the substitution method to justify that the given system of equations has no solution. What do you know about the two lines in this system of equations?
The two lines in this system of equations are parallel
Step-by-step explanation:
Let us revise the relation between 2 lines
If the system of linear equations has one solution, then the two line are intersected If the system of linear equations has no solution, then the two line are parallelIf the system of linear equations has many solutions, then the two line are coincide (over each other)∵ The system of equation is
3x - 6y = -12 ⇒ (1)
x - 2y = 10 ⇒ (2)
To solve the system using the substitution method, find x in terms of y in equation (2)
∵ x - 2y = 10
- Add 2y to both sides
∴ x = 2y + 10 ⇒ (3)
Substitute x in equation (1) by equation (3)
∵ 3(2y + 10) - 6y = -12
- Simplify the left hand side
∴ 6y + 30 - 6y = -12
- Add like terms in the left hand side
∴ 30 = -12
∴ The left hand side ≠ the right hand side
∴ There is no solution for the system of equations
∴ The system of equations represents two parallel lines
The two lines in this system of equations are parallel
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Using substitution method, we can see the system of equation has no solution and graphically, the lines are parallel to each other and don't intersect.
What is the solution to the system of linear equations?To solve the system of equations using the substitution method, we can solve one equation for one variable and substitute it into the other equation.
Let's start by solving the second equation for x:
x - 2y = 10
x = 2y + 10
Now we substitute this expression for x in the first equation:
3x - 6y = -12
3(2y + 10) - 6y = -12
6y + 30 - 6y = -12
30 = -12
Since the equation 30 = -12 is not true, we have reached a contradiction. This means that the system of equations has no solution.
Regarding the two lines in this system of equations, we can observe that they are parallel and they don't intersect with one another.
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