Answer:
132 particles
Step-by-step explanation:
5 minutes = 11 miles
1 hour (60 minutes)
11*x = 11 x 60 = 660
11x = 660/5=132
The distance of a jet stream can move a particle of air 132 miles in 1 hour.
Here,
A jet stream can move a particle of air 11 miles in 5 minutes.
We have to find, The distance of particles move in 1 hour.
What is distance?
The length along a line or line segment between two points on the line or line segment.
Now,
A jet stream can move a particle of air 11 miles in 5 minutes.
5 minutes = 11 miles
Then, for 1 minute a jet stream can move a particle of air = 11 / 5 miles
Hence, In 1 hour ( 60 minutes) a jet stream can move a particle of air;
⇒ [tex]\frac{11}{5} * 60 = 132[/tex]
So, The distance of a jet stream can move a particle of air 132 miles in 1 hour.
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Triangle ABC is similar to triangle DEF with a ratio of 3/5 If the difference of their
perimeters is 40 inches, find the perimeter of each triangle.
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Answer:
ΔABC -- 60 inchesΔDEF -- 100 inchesStep-by-step explanation:
If P is the perimeter of the larger triangle, then 3/5P will be the perimeter of the smaller one. The difference in perimeters is ...
P -3/5P = 40 in
2/5P = 40 in
P = (5/2)(40 in) = 100 in
3/5P = 3/5(100 in) = 60 in
The smaller triangle perimeter is 60 in; the larger is 100 in.
A 3-foot piece of brass wire costs $18.00. What is the price per inch?
Answer:
50¢
Step-by-step explanation:
$18.00=1800.
3*12=36
1800/36=50
Answer:
Step-by-step explanation:
the price of per inch is $2
Simplify. √ −18
A -3i√2
B 3i√2
C 9i√2
D -3√2
Solve.
6*7-3^2*9+4^3
Every time I did this, I got -103, and my teacher kept saying it's wrong. Please solve and show your work so I can see what I did wrong .
Answer:
25
Step-by-step explanation:
6*7-3^2*9+4^3
Exponents first
6*7-9*9+64
Multiply and divide from left to right
42 -9*9+64
42 - 81 +64
Add and subtract from left to right
-39 +64
25
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{6\times7-3^2\times9+4^3 }}\\\huge\boxed{\mathsf{= 42 - (9)(9) + 4^3}}\\\huge\boxed{\mathsf{= 42 - 81 + 64}}\\\huge\boxed{\mathsf{= -39 + 64}}\\\huge\boxed{\mathsf{= 25}}}}\\\huge\boxed{\mathsf{Therefore, your\ answer\ is: 25}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Jaxson did the following problem incorrectly. Choose the option that correctly identifies what Jaxson did
wrong.
Jaxson's work:
8 3/5 + 7 1/8 = 15 4/13
Answer:
4/13 very identifies what Jaxson did wrong.
Step-by-step explanation:
The addition of the whole number part of the fraction was well done that is (8+7)
What Jaxson did wrong in his work was the addition of the fractions (⅗+⅛). They have different denominators and thus can't be added straightforwardly. the denominator has to be a common value.
3) Find the range of the function.
f(x) = -x2 - 5
A) [5,-)
B) (-0,5]
[-5,-)
D) (--, -5]
Answer:
Range is (0, -5)
Step-by-step explanation:
[tex]{ \sf{f(x) = - {x}^{2} - 5}}[/tex]
when x is 0:
[tex]{ \sf{f(0) = - 5}}[/tex]
How much of a(n) 80% orange juice drink must be mixed with 12 gallons of a 40% orange juice drink to obtain a mixture that is 50% orange juice?
The amount of 80%orange juice drink is
Step-by-step explanation:
how much of an 80% orange juice drink must be mized with 20 gallons of a 20% orange juice drink to obtain a mixture that is 50% orange juice
Answer by mananth(16075) (Show Source): You can put this solution on YOUR website!
--------percent ---------------- quantity
Orange juice 20 ---------------- 20 gal
Orange juice 80 ---------------- x gal
Mixture 50 ---------------- 20 + x gal
20 * 20 + 80 x = 50 ( 20 + x )
400 + 80 x = 1000 + 50 x
80 x + -50 x = 1000 - -400
30 x = 600
/ 30
x = 20
20 gal of 80 % Orange juice
Which expressions are equivalent to the expression 7(5 + m) - 8?
Answer:
27 + 7m
Step-by-step explanation:
[tex]7(5 + m) - 8[/tex]
open the bracket:
[tex] = 35 + 7m - 8 \\ = 27 + 7m[/tex]
Michael cut away 3.01 meters of rope.Before that he had 6 meters of rope.How much rope does Michael have left
Answer:
2.99 meters
Step-by-step explanation:
Find the solution set
2(x + 4 = 8
Answer:
x=0
Step-by-step explanation:
0+4=4
4x2=8
it's pretty simple once you get the hang of it
2. Consider the division operations below and choose whether the result can be rational,
irrational, or both.
Expressions
Rational
Irrational
O
O
Flá na por laskas
5
16
o
o
Answer:
All are rational.
Step-by-step explanation:
1)
=1/3/3/5
=1/3×5/3
=5/9
5/9 is non-terminating and recurring number so it is rational.
2)
4/3√9/5
=4/3*3/5
=4/5
4/5 is a terminating number it is rational.
3)
2*√16/√4
=2*4/2
=4
4 is a natural/whole number it is also rational.
Note:if you need to ask any questions please let me know.
A farmer performs a cross between two species of flowers and expects a distribution of 25% red, 50% pink, and 25% white flowers. Out of 224 flowers, the following numbers of red, pink, and white flowers were observed. Calculate the expected number of each type of flower.
Answer:
the number of pink would be 112 because 224 divided by 2 is 112 then the red and white are 56 cuz 112 divided by 2 is 56
Step-by-step explanation:
If a function is defined by the equation y = 1/2x -3/2 , which equation defines the inverse of this function?
Answer:
B
Step-by-step explanation:
Rearrange the equation making x the subject
y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{2}[/tex] ( multiply through by 2 to clear the fractions )
2y = x - 3 ( add 3 to both sides )
2y + 3 = x
Change y back into terms of x with x being the inverse function, that is
y = 2x + 3 → B
Compute the expected theoretical probability of getting a 6 when you roll a dice once. Explain your answer
how do i convert mixed frations into improper fractions\
Answer:
how to convert
Step-by-step explanation:
To convert a mixed number to an improper fraction, follow these steps: Multiply the denominator of the fractional part by the whole number, and add the result to the numerator. Use this result as your numerator, and place it over the denominator you already have. This method works for all mixed numbers
Answer:
Change the whole numbers
Step-by-step explanation:
For example
5 3/6
A whole number written as a fraction for this problem is 6/6.
If the problem was 7 4/9, it would 9/9
I'd the problem was 2 3/4, it would be 4/4.
So basically a whole number written as a fraction is when both the top and bottom number are the same. when divide by each other they equal one. 6 divided by 6 is 1, 9 divided by 9 is 1, 4 divide by 4 is 1.
First
Turn 5 3/6 into 5/1 + 3/6
Now add them to together
To add fractions together they have to have the same denominator or bottom number.
What is a number 1 and 6 have in common ?
6 because 1 can be multiplied with any number but 6 can never be multiplied to create 1.
5 is simple 5 whole numbers
so 5/1 × 6/6= 30/6
30/6 + 3/6 = 33/6
now it's an improper faction. There is no whole number, it been converted into a fraction where the top is bigger than the bottom hence why it is improper
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! NOT A MULTIPLE CHOICE!!!
In a hotel building, the lobby is located at sea-level. The first floor is located 18 feet above the lobby, and the basement is located 22 feet below the lobby.
a. Write an inequality to compare the elevations of the first floor and the basement.
b. What is the distance from the lobby to the basement? Write your answer as an absolute value statement.
c. Which is a greater distance from the lobby: the first or basement? Justify your response.
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Answer:
-22 < 0|-22-0| = 22distance to basement is greaterStep-by-step explanation:
a) If we let B, L, F represent the elevations of the basement, lobby, and first floor, respectively, then we have ...
B = -22
L = 0
F = 18
Your inequality could be either of ...
B < L
-22 < 0
__
b. We're not sure exactly the form you're looking for. Use whichever absolute value statement is appropriate to your needs.
distance = |B -L| = |-22 -0| = |-22| = 22
__
c. The distance from the lobby to the first floor is |18 -0| = 18.
The distance from the lobby to the basement is |-22-0| = 22.
The distance 22 is greater than the distance 18, so the distance to the basement is greater.
_____
Additional comment
The difficulty with this question is not figuring out whether -22 is farther from 0 than is +18. The difficulty is in figuring out the form of the answer that is expected. Without looking at your curriculum materials, we cannot even make an appropriate guess.
I need some help I’ve been trying to figure this out for a while now and I keep coming up with different answers. Match the pairs of equivalent expressions.
Answer:
dccxxydffffyyyrtttttttyhg
A summer camp has 372 campers who will be going on an outing. Estimate the number of vans needed to accommodate the entire camp if each van can comfortably hold 12 passengers. Then calculate the actual number of vans that will be needed
Answer:
31
Step-by-step explanation:
You divide, 372 divided by 12
the actual number of vans needed is 31 vans to accommodate the entire camp. To estimate the number of vans needed to accommodate the entire camp, we can use the concept of rounding up to the nearest whole number.
The number of vans required will be the total number of campers divided by the capacity of each van (12 passengers), rounded up to the nearest whole number.
Estimate:
Number of vans needed =[tex]\(\frac{372}{12}\)[/tex](rounded up to the nearest whole number)
[tex]\(\frac{372}{12} \approx 31\)[/tex]
So, the estimate suggests that around 31 vans will be needed to accommodate the entire camp.
To calculate the actual number of vans needed, we can use the exact division without rounding up.
Actual number:
Number of vans needed = [tex]\(\frac{372}{12} = 31\)[/tex] vans
Thus, the actual number of vans needed is 31 vans to accommodate the entire camp.
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(6x-5y+4)dy+(y-2x-1)dx=0
(6x - 5y + 4) dy + (y - 2x - 1) dx = 0
(6x - 5y + 4) dy = (2x - y + 1) dx
dy/dx = (2x - y + 1) / (6x - 5y + 4)
Let X = x - a and Y = y - b. We want to find constants a and b such that
dY/dX = (a rational function)
where the numerator and denominator on the right side are free of constant terms. Substituting x and y in the equation, we have
dY/dX = (2 (X + a) - (Y + b) + 1) / (6 (X + a) - 5 (Y + b) + 4)
dY/dX = (2X - Y + 2a - b + 1) / (6X - 5Y + 6a - 5b + 4)
Then we solve for a and b in the system,
2a - b + 1 = 0
6a - 5b + 4 = 0
==> a = -1/4 and b = 1/2
With these constants, the equation reduces to
dY/dX = (2X - Y) / (6X - 5Y)
Now substitute Y = VX and dY/dX = X dV/dX + V :
X dV/dX + V = (2X - VX) / (6X - 5VX)
The equation becomes separable after some simplification:
X dV/dX + V = (2 - V) / (6 - 5V)
X dV/dX = (2 - V) / (6 - 5V) - V
X dV/dX = (2 - V - (6 - 5V)) / (6 - 5V)
X dV/dX = (4V - 4) / (6 - 5V)
- (5V - 6) / (4V - 4) dV = 1/X dX
Integrate both sides:
-5/4 V + 1/4 ln|4V - 4| = ln|X| + C
Extract a constant from the logarithm on the left:
-5/4 V + 1/4 (ln(4) + ln|V - 1|) = ln|X| + C
-5/4 V + 1/4 ln|V - 1| = ln|X| + C
-5V + ln|V - 1| = 4 ln|X| + C
Get this back in terms of Y :
-5Y/X + ln|Y/X - 1| = 4 ln|X| + C
Now get the solution in terms of y and x :
-5 (y - 1/2)/(x + 1/4) + ln|(y - 1/2)/(x + 1/4) - 1| = 4 ln|x + 1/4| + C
With some manipulation of constants and logarithms, and a bit of algebra, we can rewrite this solution as
-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|x + 1/4| + 4 ln(4) + C
-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|4x + 1| + C
-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| - ln|4x + 1| = 4 ln|4x + 1| + C
-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| = 5 ln|4x + 1| + C
In a class of 80 students in Debre Berhan University, 45 are good in mathematics, 15 are good in both mathematics and English, 13 are good in both Mathematics and Psychology, 16 are good in both English and Psychology only,20 are good in Psychology and 9 are good in both of the three course,then how many students are good in mathematics?
Step-by-step explanation:
No of Student in Debre Berhan University - 80 students
No of student good in mathematics - 45 student'sNo of students good in mathematics and English -15
No of students good in mathematics and psychology -13No of students good in English and psychology -16No of students good in psychology -20no of student good in mathematics -45+15+13
-75therefore no of student good in math is 75 .
pls mark me branilest
1 tenth + 2 tenths = blank tenths =
Answer:
3 tenths +4 tenths: 7 tenths
Step-by-step explanation:
2+1 :3
so
3+4:7
Find the area of the triangle with the vertices A (3, -5), B (-2, -7) and C (18, 1) such that A, B and C are collinear.
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Answer:
0
Step-by-step explanation:
Many authors do not recognize three points on a line as forming a triangle. This is because its area is zero. (The "base" is the length of the line segment; the "height" is the width of the line (zero).)
Which expresses 0.025 as a percent?
A- 0.025%
B- 2.5%
C- 0.0025%
D- 0.25%
Answer:
a is the answer I'm 1000% sure
find value of x from the given figure
Find the equation of the line perpendicular line displayed below that passes through the point (-3,2). Explain your process. Express your answer in point-slope form
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Answer:
y -2 = 1/4(x +3)
Step-by-step explanation:
Process: find the negative reciprocal of the slope of the line shown and put the appropriate values into the point-slope equation.
__
The slope of the given line can be found as the ratio of rise to run between the marked points.
m = rise/run = -8/2 = -4 . . . . counting grid squares
The desired line has a slope that is the opposite reciprocal of this:
m' = -1/m = -1/-4 = 1/4
The point-slope equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
Then the desired line with slope 1/4 through point (-3, 2) has equation ...
y -2 = 1/4(x +3)
A man spent 58% of his income and the amount left was GHC 210,000.00
find his income.
Answer:
Step-by-step explanation:
$211000 are 100% - 58% = 42% of the (former) income.
Therefore, 1% is 42 times less: 211000/42 = 5023.81,
and the (former) income was 100 times this value, i.e. GHC 502381.
The mean number of guests on 5 nights is 90. When an extra night of guests is added the mean is 91 . What was the number of guests on the extra night ?
Answer:
96
Step-by-step explanation:
The mean number of 5 nights is 90. It means that the quantity of guests who came these nights is 90*5=450
The mean number of the six nights is 91. So the quantity of guests is 6*91=546
546-450= 96- the quantity of guests that came on the extra night
Peter mixes 4 1/2 cups of orange juice, 1 1/3 cups of ginger ale, 6 1/3 and oſ cups of strawberry lemonade to make some punch. What is the
total number of cups of punch that Peter makes?
What is 1 1/2 + 3/16
g(x)=−3x−4, find g ( 5 ) g(5).
Answer:
-19
Step-by-step explanation:
g(x)=−3x−4
Let x = 5
g(5)=−3*5−4
Multiply
= -15-4
= -19
[tex]g(x) = - 3x - 4 \\ \\ g(5) = - 3(5) - 4\\ \\ x = - 15 - 4 \\ \\ x = - 19[/tex]
Hope it help you