Answer:
12
Step-by-step explanation:
No. of red flyers = 6
No. of blue flyers = 4
We need to find the minimum number of flyers of each color if she gave out the same number of red and blue flyers. For this we must find the LCM of 6 and 4.
Prime factorization of 6 = 2×3
Prime factorization of 4 = 2×2
Lowest common multiple of 6 and 4 = 12
Hence, there are 12 minimum number of flyers of each color
The standard height from the floor to the bull's-eye at which a standard dartboard is hung is 5 feet 8 inches. A standard dartboard is
18 inches in diameter.
Suppose a standard dartboard is hung at standard height so that the bull's-eye is 11 feet from a wall to its left.
Samuel throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor.
Does Samuel's dart land on the dartboard?
Answer:
Yes, Samuel dart does land on the dart board
Step-by-step explanation:
The given parameters are;
The height from the floor to the bulls eye = 5 feet 8 inches
The size of the standard board = 18 inches diameter
The distance of the bulls eye from the wall to the left = 11 feet
The distance the dart Samuel throws land from the left wall = 11.5 feet
The distance above the ground, the dart Samuel throws land = 5.5 feet
Whereby Samuel throws the dart directly at the dartboard, we have;
The location of the bulls eye = (11, 5.67)
The equation of the circle representing the dart board = (x - 11)² + (y - 5.67)² = 0.75² = 0.5625
The unit of the radius is in feet
The position of Samuel's dart is represented by the coordinate, (11.5, 5.5)
Plugging in the coordinates of the position of Samuel's dart into the equation of the circle of the dart board gives;
(11.5 - 11)² + (5.5 - 5.67)² = 0.2789 ≈ 0.528²
Therefore, given that the square of the distance of the position of Samuel's dart is less than the square of the radius of the dart board, we have;
Yes, Samuel dart does land on the dart board.
From the parameters given to find out if Samuel's dart landed on the dartboard, we can say that;
Samuel's dart does not land on the dartboard.
We are given;
Height from the floor to the bulls eye = 5 ft 8 in = 5.67 ft
Diameter of the standard dartboard = 18 in = 1.5 ft
Thus, radius; r = 1.5/2 = 0.75 ft
Distance of the bulls eye from the wall to the left = 11 ft
Distance of dart thrown by Samuel from the left wall = 11.5 ft
Height of dart thrown by Samuel above the ground = 5.5 ft
We know that general equation of a circle is;
(x - a)² + (y - b)² = r²
Since Height from the floor to the bulls eye is 5.67ft,then a = 5.67 ft
And also since Distance of the bulls eye from the wall to the left = 11 ft, then b = 11 ft
Thus;
(x - 11)² + (y - 5.67)² = 0.75²
(x - 11)² + (y - 5.67)² = 0.5625
Now, since he throws a dart at the dartboard that lands at a point 11.5 feet from the left wall and 5.5 feet above the floor. Thus;
r² = (11.5 - 11)² + (5.5 - 5.67)²
r² = 0.2789
r² of 0.2789 gotten here is lesser than 0.5625 gotten earlier, we can conclude that Samuel's dart does not land on the dart board.
Read more at; https://brainly.com/question/18430680
Pleaseeee help !!! I don’t under stand this
Answer:
first one 10.50$ second 20.50 $ third 30.50$ forth 40.50 the cost of each t shirt
is 10.50$
Find the equation of the line.
Y=__x + __
what are these rational numbers in order? 3/4, 2/7, 2/10, 5/8, 2/3, 8/4.
Answer:
2/10, 2/7, 5/8 ,2/3 ,3/4 ,8/4
Step-by-step explanation:
I learned when I was younger that the fractions with smaller denominators are bigger. (1/3 > 1/4). That changes when the numerators change. So 1/3 < 3/4. It is kinda hard to explain but there is an easier way were you find the greatest common multiple and make all the denominators equivalent.
What is the reciprocal of -3 2/7
Answer:
7/23
Step-by-step explanation:
First you make it an improper fraction, which gets you 23/7. Then to find the reciprocal, you simply flip it over. Therefore you get 7/23.
There you go! Have a nice day. Mark brainliest if possible please ;)
A family of 5 is going on a cross-country vacation. For a bit of variety, the family of 5 decides that they will frequently change the seating arrangement in their 5-seated vehicle. How many seating arrangements can they make if ALL of them have their driver's license.
Answer:
Step-by-step explanation:
This questions bothers permutation since permutation talks about arrangement.
The number of ways n objects can be arranged is n! ways
n! = n(n-1)(n-2)!
If a family of 5 is going on a cross-country vacation, and decided to change their seating arrangement. The total seating arrangement that they can have is;
5! = 5*4*3*2*1
5! = 20*6
5! = 120 different arrangements
3x + 5.9 = 14.6
What's the answer?
Answer: X=2.9
Step-by-step explanation:
write the linear equation in standard form y=4/3x-2/3
Answer:
The answer would be -4/3x+y=-2/3
Step-by-step explanation:
The standard form formula is Ax+By=C. By just subtracting 4/3x both sides, the linear equation is know in standard form.
__________________________________________
Answer:
3.3 x 10⁻⁴
Step-by-step explanation:
Given expression:
[tex]\frac{2.64 x 10^{-3} }{8.0 x 10^{0} }[/tex]
To solve this problem;
10° = 1
So;
[tex]\frac{2.64 x 10^{-3} }{8.0}[/tex]
= [tex]\frac{2.64}{8}[/tex] x 10⁻³
= 0.33 x 10⁻³
= 3.3 x 10⁻¹ x 10⁻³
= 3.3 x 10⁻⁴
The measure of one angle of a linear pair is 80°. If the
measure of the other angle is 4x°, what is x?
I need to match each equation with the right answers and I need to show my work for each one
5h=srt solve for t please help
Answer:
t=t
Step-by-step explanation:
we need h
1.) 9x + 2x - 5x + 7 - 6
Answer:
6x+1
Step-by-step explanation:
9x+2x-5x+7-6
11x-5x+7-6
6x+1
Awnser: 6x+1 :D
What you do is you split it in half so 9x plus 2x is 11x minus 5x is 6x. 7-6 is 1. Put them together and you get 6x+1
5. Evaluate the following expression for r = 5.
3r + (2-4)
Answer:
If r= 5 in 3r+(2-4)
it will beome
3(5)+(2-4)
= 15+(-2)
= 15-2
= 13
I need help, this teacher isn't explaining things like she is supposed to
Answer:
3 and 4
Step-by-step explanation:
13 is between the perfect squares of 9 and 16, which are 3^2 and 4^2 respectively.
2 ones and 96 thousandths as a decimal number
Answer:
2.096
Step-by-step explanation:
I need help, marking as Brainliest.
Answer:
1)There has just been a dilation and translation of the first triangle to get to the second. Their hypotenuses have the same slope of +1.
2)There has just been a dilation since they are on about the same points of the line with a slope of 1 1/2.
3)They are related because they are both on the line with a slope of -3/2
4)Only a translation happened since they are the same size and are on the same line that has a slope of 2/3
Step-by-step explanation:
The shape show that there are 4 squares for every
i would say 6 circles, so the second one.
Answer:
6 circles
Step-by-step explanation:
because yess
The point where two rays meet is called a
Vertex Vertex Vertex
Answer:
An angle can be formed when two rays meet at a common point. The rays are the sides of the angle. The point of the end of two rays is called the vertex.
Step-by-step explanation:
44 kg of tomatoes cost $352. How many
kilograms of tomatoes can you get with
$216?
Answer:
27 tomatoes
Step-by-step explanation:
Answer:
27kg
Step-by-step explanation:
352 divided by 44 equals 8. 216 divided by 8 equals 27. So 27 times 8 equals 216. Therefore 216 dollars will get you 27 kg of tomatoes.
5a+12 = 9A-12
Can anybody help me ?
Answer:
a=6
Step-by-step explanation:
5x+12=9x-12
5x+12-12=9x-12-12
5x=9x-24
5x-9x=9x-24-9x
-4x=-24
-24/-4
x=6
Answer: 12 + 5a = 9a + -12
Reorder the terms:
12 + 5a = -12 + 9a
Solving
12 + 5a = -12 + 9a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-9a' to each side of the equation.
12 + 5a + -9a = -12 + 9a + -9a
Combine like terms: 5a + -9a = -4a
12 + -4a = -12 + 9a + -9a
Combine like terms: 9a + -9a = 0
12 + -4a = -12 + 0
12 + -4a = -12
Add '-12' to each side of the equation.
12 + -12 + -4a = -12 + -12
Combine like terms: 12 + -12 = 0
0 + -4a = -12 + -12
-4a = -12 + -12
Combine like terms: -12 + -12 = -24
-4a = -24
Divide each side by '-4'.
a = 6
Simplifying
a = 6
Step-by-step explanation: found it off of google
I don’t get it . I need help please!
Answer:
You need to solve it like a rectangle
Scale 1cm = 30Yd
Formula = A=lxw
Length = 7x30=210yd
Height = 4x30=120yd
Answer 120x210= 25,200 sq. yd.
Right, make sense?
Answer:
25200 square yards
Step-by-step explanation:
Reminder: the area of a parallelogram is its length times its height. In that case, it would be 4cm*7cm.
But you have to remember that 1 cm represents 30 yards, so you have to multiply everything by 30 first, and then solve:
4*30 yards * 7*30 yards
= 120 yards * 210 yards
= 25200 square yards.
Can someone please help me
Answer:
(0,4)
Step-by-step explanation:
The x-axis is the horizontal line on the grid. When finding coordinates, we record the x-axis first. So in this case, look at point N.
N only comes up from 0 on the x-axis, so that's the first part of the coordinate.
Now for the y-axis. The y-axis is the vertical line on the grid. Point N seems to be on the number 4 of the y-axis.
so your answer is (0,4)
Will give brainliest for the first and the correct answer.
Answer:
x=4
Step-by-step explanation:
Cross multiply both sides to get 2(3x)=(x+20). Simplify to get 6x=x+20. Subtract x from both sides to get 5x=20, and divide both sides by 5 to get 4 as the value of x. The value of x will be your answer.
Answer:
A.) x = 4
Step-by-step explanation:
If [tex]\frac {(x+20)} {2} = 3x[/tex], then we plugin values:
[tex]\frac {(4+20)} {2} = 12[/tex] which is equal to 3(4).
Grace and Hannah are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour. Let GG represent Grace's distance, in miles, away from the stadium tt hours after noon. Let HH represent Hannah's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine the number hours after noon, t,t, when Grace and Hannah are the same distance from the stadium.
Answer:
Step-by-step explanation:
Grace: -40t+250
Hannah: -54t+306
-40t+250 = -54t+306
SOLVE THE EQUATION ABOVE
t=4
The total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4 and this can be determined by forming the linear equations.
Given :
Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour.The following steps can be used in order to determine the number of hours afternoon when Grace and Hannah are the same distance from the stadium:
Step 1 - According to the given data, 'G' represents Grace's distance, in miles, away from the stadium and 'H' represents Hannah's distance, in miles, away from the stadium.
Step 2 - The linear equation that represents Grace's distance from the stadium is:
[tex]G = 250-40t[/tex]
Step 3 - The linear equation that represents Hannah's distance from the stadium is:
[tex]H = 306 - 54t[/tex]
Step 4 - The value of 't' when Grace and Hannah are the same distance from the stadium is:
[tex]306-54t = 250-40t[/tex]
Step 5 - Simplify the above expression.
[tex]56=14t[/tex]
[tex]\rm t = 4\;hr[/tex]
So, the total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4.
For more information, refer to the link given below:
https://brainly.com/question/11897796
2 triangles have identical side lengths and angle measures. The second triangle is rotated about 45 degrees.
What type of transformation maps ΔQRS to ΔQ'R'S'?
dilation
reflection
rotation
translation
Answer: C. Rotation
Step-by-step explanation:
on ed
Answer:
the answer is C rotation
Step-by-step explanation:
on ed 2020
Look at image please help I’m struggling 4 more minutes for the test is over
what is the value of the expression below 5× (9-3)+7
Answer:
-23x.
Step-by-step explanation:
5x(9 - 3) +7.
5x times 9 = 45.
5x times -3 = -15.
45x - 15 +7.
45x - 15 = 30.
-30 + 7 = -23.
Hope this helps!
Have a good day ma'am/sir.
Be safe!
A warehouse elevator can hold 1750 pounds. A 200 pound worker loads the elevator with boxes that weigh 75 pounds each. The inequality describes the maximum number of boxes the worker can put on the elevator if he is also on the elevator. Which statement is true?
Answer: He can load at most 20 boxes.
Step-by-step explanation:
Let x = Number of boxes.
Then, Weight of 75 boxes = 75x
Also, Weight of worker = 200 pounds
So total weight in elevator = Weight of 75 boxes + Weight of worker
= 75x +200
A warehouse elevator can hold 1750 pounds.
∴ 75x +200 ≤ 1750
⇒ 75x ≤ 1750 -200
⇒ 75x ≤ 1550
⇒ x ≤ 20.67 [Divide both sides by 75]
It implies the maximum number of boxes it can hold = 20
Hence, the true statement is
He can load at most 20 boxes.
Tanner is cutting a 23-inch board into 2.25-inch sections. How many whole sections will he end up with?
11
12
10
13