Answer:
6.9 minutes
Step-by-step explanation:
Setup equality:
[tex]\frac{12.3}{1} = \frac{85}{m}[/tex]
Cross multiply:
12.3m = 85
Divide both sides of equality by 12.3:
m = 6.9 minutes
It takes 6.9 minutes to take someone to hear thunder if it strikes 85 miles away.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Sound travels approximately 12.3 miles per minute.
So, if the thunder strikes 85 miles away it will take
=85/12.3
=6.91 minutes.
Hence, 6.91 minutes to take someone to hear thunder if it strikes 85 miles away.
Learn more about unitary method here:
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best estimate for 563 / 15
Answer: 37 8/15 or 37.53
Step-by-step explanation:
use math_way its amazing for math problems, if i could give a rating it would definitely get 5 stars.
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Solve the following inequality using the algebraic approach:
5x-1 < 2x + 11
Answer:
[tex]\boxed {x < 4}[/tex]
Step-by-step explanation:
Solve the given inequality:
[tex]5x - 1 < 2x + 11[/tex]
-Take [tex]2x[/tex] and subtract it from [tex]5x[/tex]:
[tex]5x - 1 - 2x < 2x - 2x + 11[/tex]
[tex]3x - 1 < 11[/tex]
-Add both sides by [tex]1[/tex]:
[tex]3x - 1 + 1 < 11 + 1[/tex]
[tex]3x < 12[/tex]
-Since [tex]3[/tex] is positive, then the inequality sign remains the same. So, divide both sides by [tex]3[/tex]:
[tex]\frac{3x}{3} < \frac{12}{3}[/tex]
[tex]\boxed {x < 4}[/tex] (final answer)
Someone pls help ASAP thanks !!
Answer:
The volume will increase
Step-by-step explanation:
Each side of a regular polygon is 5.2 m and its perimeter is 36.4 m. Find the number of sides of the polygon.
Answer:
Number of sides of the polygon is 7.
Step-by-step explanation:
Let x be the number of sides of the polygon.
Given ,
Length of each side = 5.2 m
Perimeter = 36.4 m
=> 5.2*x = 36.4
x = 36.4/5.2
x = 7
Is it correct to write "80.3°"?
Answer:
Yes! Temperature degrees are just like measurements.
Which is an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12?
Answer:
x= -2
y= 3
Now,
5x-y = 12
5*(-2) - 3 = 12
-10 - 3 = 12
-13 = 12
So, this equation doesnot pass through (-2,3).
The cashier counts $2500in $100 bills. She exchanged all the $100 bills for $10 bills. How many $10 bills does she receive?
Answer:
250
Step-by-step explanation:
If 3x + 7 = 5 for some value of x, then what does the expression 6x +17 equal for the same value of x?
Answer:
13
Step-by-step explanation:
First, double the first equation.
If 3x+7=5, then 6x+14=10
Since they are asking for 6x+17, the answer is 10+3=13
Hope I helped!
need help on this please
Find the equation of the linear function represented by the table below in slope intercept form.
Step-by-step explanation:
let the eqn be y = mx + b.
m = (7 - 3)/(2 - 1) = 4
sub (1, 3):
3 = 4(1) + b
b = -1
therefore, equation is y = 4x - 1
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Work out what x =
Please and explication
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Suppose Tetha = alpha = 26°
Then ;
[tex] \tan( \alpha ) = \frac{y}{x} \\ [/tex]
[tex] \tan(26°) = \frac{8}{x} \\ [/tex]
[tex]0.487 = \frac{8}{x} \\ [/tex]
Multiply sides by x
[tex]0.487x = 8[/tex]
Divide sides by 0.487
[tex]x = \frac{8}{0.487} \\ [/tex]
[tex]x = 16.427[/tex]
[tex]x≈ 16.43[/tex]
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Solve 6n - 2 - 3n = 16
9514 1404 393
Answer:
n = 6
Step-by-step explanation:
Add 2 and collect terms
3n = 18
Divide by 3
n = 6
Answer: n=6
Step-by-step explanation:
First combine like terms, 6n and -3n to get 3n. Them add 2 to both sides and get 3n=18. Divide both sides by three amd get n=6
The figure shown has two parallel lines cut by a transversal:
Use the figure to complete the sentence.
∠6 and ____ are corresponding angles.
a
∠2
b
∠3
c
∠7
d
∠8
Answer:
A, angle 2
Step-by-step explanation:
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Find the product. Enter your final answer as a simplified fraction.
-1/8•7•2/5=
Answer:
-7/20
Step-by-step explanation:
Answer:
-1/140
Step-by-step explanation:
-1/8*7*2/5
-7/8*2/5
-7/20
Need help with geometry
Answer:
The first one is x=2
hence each sides of the equilateral is 6
The second one is x=2
hence AB=BC=8 and AC=6
If the ages in a classroom were 11, 12, 12, 13, 13, 14 - what would the median age be if you added someone that was 10 years old?
Answer: 12 years old
Step-by-step explanation:
10,11,12,12,13,13,14
The middle in these numbers is 12
Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)
x^2 + 2y^2 = 17k^2
Answer:
y = Ax^2
Step-by-step explanation:
below is the detailed solution
To determine the orthogonal trajectories of the family of curves
X^2 + 2y^2 = 17k^2
we have to differentiateX^2 + 2y^2 = 17k^2 with respect to x
= 2x + 4y dy/dx = 0
Hence : dy/dx = - x/2y
we have to determine the negative reciprocal
dy/dx = 2y/x ----------- 1
integrate equation 1
∫dy/2y = ∫dx/x
= 1/2 log y = log x + log c
log y = 2logx + 2logc
log y = logx^2 + logC^2
therefore : y = Ax^2 ; where C^2 = A
Which equation represents the line that passes through
the point (10, 1) and is perpendicular to the graph of
2x - y = 7?
Answer:
x+2y=12
Step-by-step explanation:
I used DESMOS graphing calculator. I highly recommend it for problems like this.
Winter is coming, so Sasha decides to buy new outdoor gear. She has a coupon good for 25% off. She buys a coat with an original price of $85.75, a pair of boots with an original price of $71.99, a scarf with an original price of $24.25, and a pair of gloves with an original price of $44.95. She pays a total of $208.94. To which item did Sasha apply her coupon? a. coat b. boots c. scarf d. gloves
Yes, the answer is B. Boots
Edgenuit.y 2021
On boots Sasha applied the coupon of 25%, option B is correct.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
If Sasha paid a total of $208.94 and applied the 25% coupon to one of the items, then we can set up the following equation:
$85.75 + $71.99 + $24.25 + $44.95 - 0.25x = $208.94
where x is the original price of the item to which Sasha applied the coupon.
Simplifying the equation, we get:
$226.94 - 0.25x = $208.94
0.25x = $18.00
x = $72.00
This means that the original price of the boots was $71.99, and Sasha applied the 25% coupon to the boots, getting a discounted price of:
$71.99 - 0.25($71.99) = $53.99
Therefore, On boots Sasha applied the coupon of 25%, option B is correct.
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Write an equation that represents the following word problem.
Jackie has four more apples than Mark and together they have twelve apples. How many apples do each Jackie and Mark have?
a + (a - 4) = 12
a + (a + 4) = 12
both of these would work
neither of these would work
Answer:
Both would work.
Step-by-step explanation:
If we call Jackie's apples a, then Mark has a - 4 apples. Therefore, together they have a + (a - 4) apples, and we know that they have a total of 12 apples so we can write a + (a - 4) = 12 to represent the situation. On the other hand, if Mark has a apples, then Jackie has a + 4 apples, so we can also write a + (a + 4) = 12 to represent the situation as well. Therefore, both of the equations would work. Hope this helps!
Answer:
both
Step-by-step explanation:
I got it right on the quiz
josie walks 3/4 miles in 1/5 hour. what is josie’s speed in miles per hour ?
Answer:
3.75 mi/h
Step-by-step explanation:
0.75 miles in 0.20 hour
Speed = Distance divided by time
0.75/0.20
3.75 mi/h
How do you do this question?
Answer:
∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
Step-by-step explanation:
Start with the Maclaurin series for cos x.
cos x = ∑ₙ₌₀°° (-1)ⁿ x²ⁿ / (2n)!
Substitute ⅓ x².
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓ x²)²ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ (⅓)²ⁿ x⁴ⁿ / (2n)!
cos (⅓ x²) = ∑ₙ₌₀°° (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
Multiply by 8x.
8x cos (⅓ x²) = ∑ₙ₌₀°° 8x (-1)ⁿ x⁴ⁿ / (9ⁿ (2n)!)
8x cos (⅓ x²) = ∑ₙ₌₀°° 8 (-1)ⁿ x⁴ⁿ⁺¹ / (9ⁿ (2n)!)
If you can do your homework at a rate of 5.3 minutes for every problem, how many problems could be done after 9.01 hours? Round to a whole number.
Answer:
I can do 102 problems in 9.01 hours.
Step-by-step explanation:
9.01 hours = 9.01 * 60 = 540.6 minutes
540.6 / 5.3 = 102
If a coconut has tree has 12 coconut on it if 25% of the coconuts fell to the ground how many fell
Answer:
It would be three coconuts hope this helped
Step-by-step explanation:
5/25 in its simplest form
Answer: [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
[tex]\frac{5}{25} =\frac{1}{5}[/tex]
what is the greatest common factor of 14x+28+21
Answer:
7 (2x+7)
Step-by-step explanation:
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︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
Answer:
The greatest common factor is 7.
Step-by-step explanation:
7 x 2 = 14
7 x 4 = 28
7 x 3 = 21
learning task 1: identify similar and dissmilar fractions . on your notebook write S if the fractions are similar and D if dissmilar 1. 2/3 and 1/3
Answer:
"S" (similar fractions)
Step-by-step explanation:
Since "similar fraction" are those with the same denominator, in our case, since 2/3 and 1/3 have both the same denominator "3", these are similar fractions.
PLZ HELP!!!this is due in 5mins
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Francine has a picture with a length 5/3 its width. She wants to enlarge the picture to have an area of 240 in2. What will the dimensions of the enlarged picture be?
w = 20 in, h = 12 in
w = 24 in, h = 10 in
w = 12 in, h = 20 in
Find all x-intercepts of the function. Express your answer as a list of x-values
f(x) = x^3+x^2+x-1
Answer:
(0.54368901,0)
Step-by-step explanation:
Subsititute 0 for y and solve to find the x-intercepts.
Can anyone help me solve point 1?
Answer:
Option C
Step-by-step explanation:
I took this before
Answer:
C
Step-by-step explanation:
take out the brackets and merge them
