Answer:
168 seconds
I edited the answer.
Step-by-step explanation:
To find the the time taken for both lights to flash at the same time, we need to find the lowest common multiple of 28 and 24.
28 x 6 = 168, 24 x 7 = 168
The LCM of 28 and 24 is 168.
So it takes 168 seconds for both lights to flash at the same time.
Both lights will flash together again at 2 minutes and 8 seconds.
To find When will they flash together again if they flash together.
What is LCM?LCM is the method to find the smallest possible multiple of two or more numbers.
Given that,
A red light flashes once every 28 seconds
A green light flashes once every 24 seconds
A red light flashes every 28 seconds and green light flashes once every 32 seconds. Therefore, we have to find their least common factor.
LCM(28 , 24) = 168
The red and green light will flash together after every 168 seconds.
Time =168 seconds
Time =168 / 60 minutes
Time = 2 minutes and 8 seconds
The red and green light will flash together after every 2 minutes and 8 seconds.
Hence, both lights will flash together again at 2 minutes and 8 seconds.
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Dale runs 10 miles in 75 minutes. At the same rate, how many miles would he run in 69 minutes?
Answer: 9.2 miles
Step-by-step explanation:
Answer: 9.2 miles
Step-by-step explanation: hope this helps you!
Billy is 80 feet from the base of a building. The angle of elevation to the top of the building is 35 degrees. If the distance from Billy's eyes to the ground is 5 feet, how tall is the building?
Answer:
61 ft
Step-by-step explanation:
The detailed step by step solution has been attached in pen and paper format. Feel free to ask any doubt.
Jason can travel 24 3/4 miles in 1/2 hour. What is his average speed in miles per hour?
Answer:
24 3/4 miles is the distance
1/2 hour - is time
V=S/t
24\frac{3}{4}
4
3
/ 0.5 = \frac{(24*4+3)2}{4}
4
(24∗4+3)2
=49.5 miles per hour
Which equation represents the like that is parallel to y= 3 and passes through (-2,-8)
A. X=-2
B. X=-3
C. Y=-8
D. Y=3x-2
solve the x. 4x+9=2x-1
Answer:
The answer is x = -5.
Step-by-step explanation:
1) Subtract 2x from both sides.
[tex]4x + 9 - 2x = - 1[/tex]
2) Simplify 4x + 9 - 2x to 2x + 9.
[tex]2x + 9 = - 1[/tex]
3) Subtract 9 from both sides.
[tex]2x = - 1 - 9[/tex]
4) Simplify - 1 - 9 to -10.
[tex]2x = - 10[/tex]
5) Divide both sides by 2.
[tex]x = - \frac{10}{2} [/tex]
6) Simplify 10/2 to 5.
[tex]x = - 5[/tex]
Therefor, the answer is x = -5.
PLEASE HELP I BEG YOU!!!
What is the longest line in a cube that has a side length of 7 cm?
Answer:
14cm
Step-by-step explanation:
All side lengths in a cube will be 7 as the properties of a cube are such that all the side lengths are the same.
Think of the longest line in a cube as a hypotenuse on a triangle.
[tex]7^{2} + 7^{2} = c^{2}[/tex]
49 + 49 = [tex]c^{2}[/tex]
[tex]c^{2}[/tex] = 98
c = [tex]\sqrt{98}[/tex]
[tex](\sqrt{98})^{2} + (\sqrt{98} )^{2}[/tex] = [tex]c^{2}[/tex]
[tex]c^{2}[/tex] = 98 + 98
[tex]c^{2}[/tex] = 196
c = [tex]\sqrt{196}[/tex]
c = 14
The longest line in a cube that has a side length of 7cm is 14cm.
Find g−1(x) when g(x)=3/5x−9.
A) 5/3x+1/5
B)5/3x−1/9
C)5/3x+9
D)−3/5x+9
The height of a right cone is 3 inches shorter than the radius. What is the height of the cone if the volume is 17 cubic inches?
a. 3.454 inches
b. 4.01 inches
c. 7.01 inches
d. 1.01 inches
Answer:
1.03 inches
Step-by-step explanation:
Volume of a come = 1/3πr²h
If the height of a right cone is 3 inches shorter than the radius, then;
h = r - 3
Substitute
V = 1/3πr²(r-3)
Given that V = 17in^3
17 = 1/3πr²(r-3)
17*3 = 3.14r²(r-3)
51/3.14 = r²(r-3)
16.242 = r²(r-3)
r² = 16.242
r = √16.242
r = 4.03
Since h = r - 3
h = 4.03 - 3
h = 1.03 inches
hence the height is 1.03 inches
I dont know how to do this pls help me
x = 36 Answer
By Pythagoras Theorem
If a = 12 in and b = 25 in, what is the area of the pencil? A. 372 in2 B. 169 in2 C. 322 in2 D. 444 in2
Answer:
1169 in^2 Approx
Step-by-step explanation:
Given data
We know that the shape of the pencil is cylindrical
Hence the dimension is
Diameter= 12in
Radius= 12/2= 6in
Height= 25in
The surface area of a cylinder is given as
T.S.A.=2πrh+2πr^2
Substitute
T.S.A.=2*3.142*6*25+2*3.142*6^2
T.S.A.=942.6+226.224
T.S.A=1168.824
Hence the area is 1169 in^2 Approx
The manager of a store increases the price of a popular product by 7%. Let t be the original price of the product. The new price is t + 0.07t. Find an expression equivalent to the new price. I NEED HELP ASAP PLEASEEEEEEEEEEE!!!!
Answer:
0.07t+t
Step-by-step explanation:
The required new expression after increasing the price by 7% is 1.07t, where t is the original price.
The manager of a store increases the price of a popular product by 7%. let t be the original price of the product. The new price is t + 0.07t.
to find an expression equivalent to the new price.
Cost price is the price for the buyer pays to the seller for an object or product.
Here, let the whole proportion of the price of the product is t.
now price increased by 7% so 7/100*t = 0.07*t
The total increase in price = t + 0.07t
= 1.07 * t
So the new expression for the product after a 7% hike in price, 1.07t
Thus, the required new expression after increasing the price by 7% is 1.07t, where t is the original price.
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omg! please help! it’s due in 4 hours and i don’t know the answers to it
given the expression -x^2-6x+7,when expressed in form a(x+h)^2+k, the value of k is?
Answer: k = 16
Step-by-step explanation:
The equation is written in the form:
y = ax^2 + bx + c
y = -x^2 - 6x + 7
y = a(x - h)^2 + k where (h, k) is the vertex
a = -1 (from the original equation)
h = -b/2a (this is the equation for the line of symmetry or the x-value of the vertex)
h = -(-6)/2(-1) = 6/-2 = -3
when x = -3, y = ?
y = -(-3)^2 - 6(-3) + 7
y = -(9) + 18 + 7
y = -9 + 18 + 7
y = 16
(-3, 16) is the vertex
Since k is the y-value of the vertex, k = 16
I'll just take it a step further and write the whole equation:
Substitute all the values we found
-1(x +3)^2 + 16
-(x + 3)^2 + 16
If ∠2 and ∠3 are complementary angles and m∠2 = 24°, find m∠3.
Answer:
sorry dont know
Step-by-step explanation:
Answer:
yessadadasdadada
Step-by-step explanation:
Area of Shape please !!!
Answer:
135 cm squared
Step-by-step explanation:
9x20 (for the big bottom rectangle) plus (14-9)x11 because you already found the area of the big rectangle.
Use the Pythagorean Theorem to find the distance between points F and C.
What is the distance between (-4,-1) and ( -2,-2)
Answer:
-2, -1
Step-by-step explanation:
A BUSHEL OF APPLES WEIGHS ABOUT 42 POUNDS. THERE ARE 4 PECKS OF BUSHELS. IT TAKES 2 POUNDS OF APPLES TO MAKE ONE PIE. HOW MANY PIES CAN YOU MAKE WITH ONE PECK OF APPLES?
Answer:
84 pies
Step-by-step explanation:
if you multiply 42 pounds by4 pecks. You get 168 pounds. and then you divide that by 2 and you can make 84 pies
Please give me the correct answer.Only answer if you're very good at math.
Answer:
1st graph
Step-by-step explanation:
this is the only graph that begins at 24, has a negative slope, is linear, and ends at (8,0) which, after 8 hours losing 3 pots per hour, makes sense
plz help me with this question
a ratio of 10 to 2 is the same as A 8/2 B 8/10 C 12/8 D 5/1
Answer:
D. 5/1
Step-by-step explanation:
10/2 = 5
5/1 = 5
I hope this helps :)
solve it 7/10+2/3
pls explain
Someone help with the second question
Pleaseeeee
Answer:
Answer shown above.
Have a good day
I need help pls thank you
Blah blah
Answer:
TSP RSU
Step-by-step explanation:
Hope this helps!
what is the slope of the line if the equation is 5x-3y=9
Answer:
Slope = 5/3
Step-by-step explanation:
5x - 3y = 9
Write in slope y-intercept form: y = mx +b
-3y = -5x + 9
Divide the whole equation by (-3)
[tex]\frac{-3y}{-3}=\frac{-5x}{-3}+\frac{9}{-3}\\\\y =\frac{5}{3}x- 3[/tex]
Slope =5/3
Explain how you know that 88 is a solution to the equation 18x=11 by completing the sentences: The word "solution" means . . . 88 is a solution to 18x=11 because . . .
Correct Question:
Explain how you know that 88 is a solution to the equation 1/8x =11 by completing the sentences:
The word "solution" means . . .
88 is a solution to 1/8x=11 because . . .
Answer/Step-by-step explanation:
✔️The word solution means the value of the unknown variable, x. This means, when the value of x is substituted into the equation, the equation becomes balance as the value on the left equals the value on the right.
✔️88 is a solution to ⅛x = 11 because:
if we substitute x for 88 into the equation, both sides would be equal.
Thus:
⅛×88 = 11
11 = 11
URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (29pts)
Answer:
answer is B
Step-by-step explanation:
I am in high school and I learned this a month ago anyways
Solve the equation. 1/3a = -5
Answer:
The answer is a = -15
Step-by-step explanation:
1/3a = -5
3 × 1/3a = 3 × (-5)
a = 3 × (-5)
a = -3 × 5
Answer is a = -15
Answer:
a = 15
Step-by-step explanation:
Just answer
Ratio and simplify the ratio helpp
ayudaaaa por favor es urgente
Answer:
use trig
Step-by-step explanation:
sin(15) = 100/x
x = 100/sin(15)
use calculator
PLZ PLZ PLZ PLZ PLZ PLZ HELP I NEED HELP PLZZZZZZZZZ NO ONE HAS HELPED ME FOR AN HOUR 25 POINTS
The expression 2(4+v)+9v is simplified in several steps below.
For each step, choose the reason that best justifies it.
8+2v+9v
commutative property of addition
associative property of addition
distributive property of addition
combining like terms
8+11v
commutative property of addition
associative property of addition
distributive property of addition
combining like terms
11v+8
commutative property of addition
associative property of addition
distributive property of addition
combining like terms
Answer:
C, D, A
Step-by-step explanation:
Distributive property
Combining like terms
Communitive property