Answer:
2nd = 4ft.
1st = 16ft
Step-by-step explanation:
2nd = x
1st = 3x + 4
Piece of rope = 20ft.
(3x + 4) + x = 20
4x + 4 = 20
4x = 16
x = 4 (second piece)
First
3x + 4
3(4) + 4
12 + 4 = 16
simplify
[tex]\sqrt{29-12\sqrt{5} }[/tex]
Answer:
[tex] \sqrt{29-12\sqrt{5} }[/tex]
[tex]\sqrt{9 - 12 \sqrt{5} + 4 \times 5}[/tex]
[tex]\sqrt{ {3}^{2} - 12 \sqrt{5} + {(2 \sqrt{5}) }^{2} }[/tex]
[tex]\sqrt{{(3 - 2 \sqrt{5} )}^{2}}[/tex]
[tex]{(3 - 2 \sqrt{5} )}[/tex]
An online store typically ships packages at a rate of 15 orders every 5 hours. At this rate, how many hours will it take to ship 156 orders?
Answer:
52 hours
Step-by-step explanation:
figure it out genius
An online store ships 15 orders every 5 hours. It will take approximately 52 hours to ship 156 orders at this rate.
Use the concept of ratio defined as:
A ratio indicates how many times one number contains another number. The ratio of two numbers is written as x : y, which is equivalent to x/y.
Where x and y are individual amounts of two quantities.
And, the Total quantity is given after combining as x + y.
Given that,
Online store ships packages at a rate of 15 orders every 5 hours.
We need to determine how many hours it will take to ship 156 orders.
The rate can be expressed as 15 orders per 5 hours or 15/5.
To figure this out,
Set up a proportion.
If the online store ships 15 orders every 5 hours,
Then the rate is 15 orders per 5 hours, or 15/5.
Now, let's set up the proportion:
15/5 = 156/x
To solve for x, cross multiply:
15x = 5(156)
Now, divide both sides of the equation by 15 to isolate x:
x =780/15
Calculating that out, x is equal to 52.
Hence, it will take approximately 52 hours to ship 156 orders at the given rate.
Learn more about the ratio visit:
https://brainly.com/question/12024093
#SPJ3
A car traveled 200 miles on 8 1/2 gallons of gas. How much gas will it take to drive 1 mile?
Answer:
23 1/2 gallons of gas to travel one mile
Step-by-step explanation:
Given the car can travel 200 miles on 8 1/2 gallons of gas, we divide 200 by 8 1/2.
8 1/2 = 8.50 = 8.5
200/8.5 = 23.5 = 23.52 = 23 1/2
Answer:
17/400 gallons or 0.0425 gallons
Step-by-step explanation:
Take the ratio of the scale and the actual values :
200 miles : 8 1/2 gallons = 1 mile : x gallons200/(8.5) = 1/x400/17 = 1/xx = 17/400 gallons or 0.0425 gallonscan anyone solve this step by step
[tex] - 6 \sqrt{243m {}^{4} } n {}^{5} p {}^{2} [/tex]
Answer:
[tex]-54m^{2} n^{2} p \sqrt{3n}[/tex]
Step-by-step explanation:
solved it using a software. check attachment for all the steps
How many 1-centimeter sugar cubes would be needed to form this rectangular prism?
Answer:
your question is not complete
In a school, 40% of the students have brown eyes. Find the experimental probability that in a group of 4 students, at least one of them has brown eyes. The problem has been simulated by generating random numbers. The digits 0-9 were used. Let numbers "0", "1", "2", and "3" represent the 40% of students with brown eyes. A sample of 20 random numbers is shown. 7918 7910 2546 1390 6075 1230 2386 0793 7359 3048 2816 6147 5978 5621 9732 9436 5971 3806 6173 1430 Experimental Probability = [?]%
Answer:
41.25%
Step-by-step explanation:
Of the 80 digits generated, 33 of them are 0,1,2, or 3.
(Yup, I counted them)
So, 33/80 = 0.4125 = 41.25%
Answer:
95%
Step-by-step explanation:
Step 1: Find samples with 0, 1, 2 or 3.
Example: count 7918 it has a one
Example two: count 2546 it has a two
Step 2: Once all the samples with 0, 1, 2 or 3 are counted put it into a fraction.
Example: For this particular question there were 19/20 samples with numbers 0, 1, 2 or 3.
Step 3: Change the fraction into a percentage after that you will have your final answer.
find the missing angles
Answer:
the missing angles are 47,° 77,° 56°
Step-by-step explanation:
(133)+(x+13)= 180° (angles on a straight line)
133+x+13= 180°
146+x= 180°
X= 180-146
X= 34°
FOR ANGLE A
2X+9= 2(34)+9= 68+9= 77°
FOR ANGLE C
X+13= 34+13= 47°
FOR ANGLE B
47+77+Y= 180 (SUM OF ANGLES IN A TRIANGLE)
124+Y= 180
Y= 180-124= 56°
Y= 56°
the missing angles are 47,° 77,° 56°
pls help me my homework
Answer:
[tex]1.\; \boxed{\sf x=12^o}[/tex]
[tex]\sf 2.\;\boxed{\sf \angle 2=60^o}[/tex]
Step-by-step explanation:
1)
Since ∠1 and ∠ (7x-20) are corresponding angle.
So, ∠1 =∠ (7x-20)
and, ∠1 and ∠(5x+16) are vertically opposite angles.
- - - - -
S0...
[tex]\sf 4x+16=7x-20[/tex]
Subtract 16 from both sides.
[tex]\sf 4x=7x-36[/tex]
Subtract 7x from both sides.
[tex]\sf 4x-7x=7x-36-7x[/tex]
[tex]\sf -3x=-36[/tex]
Divide both sides by -3.
[tex]\sf \cfrac{-3x}{-3}=\cfrac{-36}{-3}[/tex]
[tex]\boxed{\sf x=12^o}[/tex]
- - - - - - - - - - -
2)
∠1 and ∠2 are corresponding angles.
S0,
[tex]\sf \angle 1=\angle 2=\boxed{\sf 60^o}[/tex]
- - - - - - - - - - - - - - - - - -
Additional info:-
Any pair of angles on the same side of one of two lines cut by a transversal and on the same side of the transversal are called corresponding angles.
Vertical angles are angles opposite each other where two lines cross.
Learn more:
https://brainly.com/question/18435267
https://brainly.com/question/17006189
Answer:
x = 12
Step-by-step explanation:
The angles are equal as they are alternate exterior angles.
Solving :
⇒ 4x + 16 = 7x - 20
⇒ 7x - 4x = 16 + 20
⇒ 3x = 36
⇒ x = 12
Can you solve all please
Answer:
A) 3
B) 3
C) 3
D) 3
I think those are the first four
Step-by-step explanation:
Assuming the pizzeria is located at the
origin, write an equation of the circle in
which the pizzeria will deliver in standard
form where x and y represent the distance
from the pizzeria in miles.
The equation of the circle represented by the pizza is x^2 + y^2 = 4
How to determine the equation of the circle?The given parameters are:
Radius, r = 2
Center, (a,b)= (0,0) i.e. origin
The equation of the circle is calculated as:
(x - a)^2 + (y - b)^2 = r^2
This gives
(x - 0)^2 + (y - 0)^2 = 2^2
Evaluate the exponents
x^2 + y^2 = 4
Hence, the equation of the circle is x^2 + y^2 = 4
Read more about circle equation at:
https://brainly.com/question/1559324
#SPJ4
Write 8.6 x 10^-9 in Standard Form
Please help :)
Answer:
8.6 × 10-9
Step-by-step explanation:
A right circular cone has a base radius of 4 and a height of 6. A right circular cylinder also has a base radius of 4 and a height of 6. Let A be the lateral surface area of the cone, and let B be the lateral surface area of the cylinder. Find A/B.
Answer:
A/B = 0.6Step-by-step explanation:
Given dimensions of
Right circular cone: r = 4 and h = 6Right circular cylinder: r = 4 and h = 6Find the lateral surface area of both figures
The cone[tex]A= \pi r\sqrt{h^2+r^2}=3.14*4\sqrt{6^2+4^2}= 90.57[/tex]The cylinder[tex]B=2\pi rh=2*3.14*4*6 = 150.72[/tex]Find the ratio A/B
A/B = 90.57/150.72 = 0.6 (rounded0A grocery store recently sold 48 cans of soup, 12 of which were minestrone soup. Based on experimental probability, how many of the next 24 cans sold should you expect to be minestrone soup?
Answer:
75% because the ratio is 1:4 so the probability of the next being minestrone is high.
Answer:
6
Step-by-step explanation:
I just need the equation. please help me find it
Answer:
y=5x
Step-by-step explanation:
As you can see for the numbers of minutes on the graph, it goes 2,4,6 and on. If you look at the miles you can see the numbers that connect with the numbers of minutes. You can see a pattern. If you multiple 2 x 5 you get 10, if you multiply 4 x 5 you get 20, and etc etc.
Hope this helps <3
Answer:
y = 5x
Step-by-step explanation:
Here :
y = distance covered (in miles)x = time taken (in minutes)The standard form of an equation :
y = mx + cm = rate of change = slopec = y-intercept (which is 0 in this graph)Finding m
Change in rise / Change in run10 - 0 / 2 - 010/2m = 5Equation of the line
y = 5xmisleading graph. help me how to make brand A popular than brand B
Answer:
use a scale that starts at 0
Step-by-step explanation:
The graph is misleading because the vertical scale does not start at zero.
__
To better represent the brand relationship, the vertical axis should start at zero. The amounts differ by less than 1/2%, so the bars on that scale would appear to have virtually identical heights.
Elias was given a lock for his school locker. The lock contains numbers between
O and 59 (60 different numbers). If 3 numbers are used to unlock the lock, and
the numbers can't repeat, how many codes can his lock have?
Answer:
34,220
Step-by-step explanation:
Because order doesn't matter, but the numbers can't be repeated, we need to find the number of combinations where 3 individual numbers can be chosen out of 60 possible numbers using the binomial coefficient:
[tex]\binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{60}{3}=\frac{60!}{3!(60-3)!}\\\\\binom{60}{3}=\frac{60!}{3!(57)!}\\\\\binom{60}{3}=\frac{60*59*58}{3*2*1}\\ \\\binom{60}{3}=34220[/tex]
Thus, Elias can make 34,220 unique 3-number codes given 60 different numbers.
determine if the shape is a polyhedron using eulers formula
Answer:
Yes
Step-by-step explanation:
Euler's Formula for Polyhedrons :
Faces + Vertices = Edges + 2
Given :
Vertices = 12Edges = 18Faces = 8Verifying using Euler's Formula :
F + V = E + 2(8) + (12) = (18) + 220 = 20It is a polyhedronThe given shape is a polyhedron using the Euler's formula.
What is Polyhedron?Polyhedron is defined as the three dimensional shape which consists of flat shapes which are polygons.
Cubes, pyramids are all polyhedrons.
Euler's formula for polyhedron states that,
V - E + F = 2
where V, E and F are the number of vertices, number of edges and the number of faces respectively.
For the given polyhedron,
Number of vertices, V = 6 + 6 = 12
Number of edges, E = 6 + 6 + 6 = 18
Number of faces, F = 1 + 6 + 1 = 8
So, V - E + F = 12 - 18 + 8 = -6 + 8 = 2
Hence the given shape is a polyhedron.
Learn more about Polyhedrons here :
https://brainly.com/question/29288434
#SPJ2
How many more pairs of parallel sides does a regular octogon have then a regular hexagon
Answer:
1 more.
Step-by-step explanation:
A regular octagon has 4 pairs.
A regular hexagon has 3 pairs.
Hope this helped. :)
A motorboat travels 82 miles in 2 hours going upstream. It travels 106 miles going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current
let's recall d = rt, or namely distance = rate * time.
b = speed of the boat in still water
c = speed of the current
when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.
[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&82&b-c&2\\ Downstream&106&b+c&2 \end{array}\hspace{5em} \begin{cases} 82=(b-c)2\\\\ 106=(b+c)2 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{using the 1st equation}}{82=(b-c)2}\implies \cfrac{82}{2}=b-c\implies 41=b-c\implies \boxed{41+c=b} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{106[~(41+c)+c~]2}\implies \cfrac{106}{2}=41+2c\implies 53=41+2c \\\\\\ 12=2c\implies \cfrac{12}{2}=c\implies \blacksquare~~ 6=c ~~\blacksquare~\hfill \blacksquare~~ \stackrel{41~~ + ~~6}{47=b} ~~\blacksquare[/tex]
.
A baseball coach draws names to decide who will be the first player at bat There are 5 girls and 10 boys on the team Describe and explain the probability of each outcome
a. The first batter is a girl
b. The first batter is a boy
Using the probability concept, it is found that:
a) P(girl) = 1/3, which means that 1/3 = 33% of the time, the first batter will be a girl.
b) P(boy) = 2/3, which means that 2/3 = 67% of the time, the first batter will be a boy.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, in a total of 15 people, 5 are girls and 10 are boys, hence:
P(girl) = 5/15 = 1/3.P(boy) = 10/15 = 2/3.More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
Help me please help me
Answer:
g= 8/21
Step-by-step explanation:
[tex]g=\frac{5}{7} -\frac{1}{3} \\g=\frac{15}{21} -\frac{7}{21} \\g=\frac{8}{21}[/tex]
and yet another i hope you all had fun doing these problems
x2 + 3x + 1 = 5. know the answer but need to understand how?
Answer:
[tex]x=-4,\: x=1[/tex]
Step-by-step explanation:
[tex]x^2+3x+1=5\\\\x^2+3x-4=0\\\\(x+4)(x-1)=0\\\\x=-4,\: x=1[/tex]
Make sure you use the Zero Product Property to solve for each factor when the equation is set equal to 0 and can be factored.
Eight crore thirty four lakh twenty two thousand fifty seven
(x - 2)^2/36-(y+1)^2/64=1The vertices for the hyperbola are (2,5) and (2,-7) true or false
Answer: False
Step-by-step explanation:
I checked with a graphing app huhu... sorry TT
The vertices are (8, -1) , (-4, -1).
Find the domain and range of f^-1 given f(x)=1/4-9x 
Keyshawn buys 100 baseball cards to start a collection. He purchases 25 more baseball cards
each week. Which equation could be used to represent the number of baseball cards (b) in
Keyshawn's collection after w weeks?
A. w = 25b + 100
B. w = 100b+25
C. b = 25w + 100
D. b = 100w + 25
Answer:
C. b = 25w + 100
Step-by-step explanation:
Keyshawn starts off with 100 baseball cards. Each week he buys 25 more baseball cards. Given this we want to find an equation that would represent the number of baseball cards (represented by "b") he would have after a number of weeks (represented by "w")
We know that keyshawn buys 25 baseball cards weekly so the number of baseball cards purchased after w weeks can be represented by 25w.
We also know that he started of with 100 baseball cards so the total amount of baseball cards keyshawn has (b) can be represented by the expression b = 25w + 100
A jar made of 1/4 inch thick glass has an inside radius of 4.7 inches and total height of 13.3 inches (including the bottom thickness of glass). What is
the volume of the glass shell of the jar (in cubic inches)?
The volume of the cylindrical jar, considering it's radius and height, is of 923 in³.
What is the volume of a cylinder?The volume of a cylinder of radius r and height h is given by:
[tex]V = \pi r^2h[/tex].
In which problem, we have that r = 4.7 in, h = 13.3 in, hence the volume in cubic inches is given by:
[tex]V = \pi \times 4.7^2 \times 13.3 = 923[/tex]
More can be learned about the volume of a cylinder at https://brainly.com/question/9408912
#SPJ1
A can has a height of 11cm and a volume of 486cm^3 . Find the radius of each can . Correct to two decimal places
If the height is 11 cm and the volume is486 cubic cm. Then the radius of the can will be 3.75 cm.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A can has a height of 11 cm and a volume of 486 cubic cm.
Then the radius of the can will be
We know that the volume is given as
Volume = πr²h
486 = π r² x 11
r² = 14.06
r = 3.75 cm
More about the cylinder link is given below.
https://brainly.com/question/3692256
#SPJ1
I just need the length of the unknown side and why it makes sense
Answer:
Step-by-step explanation:
According to Pythagorean theorem, the square value of hypotenuse (the side length that sees angle measure 90) is equal to sum of square value of two legs:
let x represent the missing length
x^2 + 3^2 = 7^2
x^2 + 9 = 49 subtract 9 from both sides
x^2 = 40 find the root for both sides
x = [tex]\sqrt{40}[/tex] or 6.3 inches approximately