Answer: x=14
Step-by-step explanation: have a good day
Hey I’m having trouble finding out how to divide fractions
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 people use the gym and the pool. 9 people use the pool and the track. 16 people use the gym and the track. 4 people use all three facilities. How many people didn't use any facilities?
Answer:
24 people
Step-by-step explanation:
((The numbers are up there, so I am not going to define each variable.))
For starters, there is no overlap between the double facilities groups, except the triple facility users, so:
19 + 9 + 16 - 4 = 40 people
Since there is overlap between single and double groups, you will need to subtract, so:
Gym: 73 - 19 - 16 = 38
Pool: 59 - 19 - 9 = 31
Track: 31 - 9 - 16 = 6
Total for 1 facility: 38 + 31 + 6 - 4 = 71 people
((Minus 4 because the 4 triple facility users overlap the double facility users (problem is in layers: layer 1 minus layer 2, then minus layer 3).))
Next, add the totals:
71 + 40 = 111 people (using facilities)
135 - 111 = 24 people (who didn't use any)
(((I'm not 100% sure on this answer, so if someone could check my work, that would be much appreciated.)))
Find the area of a regular pentagon
with a side length of 10 cm. Round to
the nearest tenth.
10 cm
[? ] cm2
Step-by-step explanation:
here~~~~~~~~~~~~~~~~~~~~~~~
What statement describes the graph?
Answer:
D.
Step-by-step explanation:
The gragh crosses the y-axis at (0,-5), decreasing from x=-10 to x=-2 and remaining constant from x=-2 to x=10
What are the zeros of f(x) = x2 - 8x+16?
O A. x= 4 only
B. x = -4 and x = 4
C. X=-2 and x = 8
D. x=-4 only
Answer:
x=4
Step-by-step explanation:
f(x) = x^2 - 8x+16
Set equal to zero
0 = x^2 -8x +16
Factor
what 2 numbers multiply to 16 and add to -8
-4*-4 = 16
-4+-4 = -8
0= (x-4)(x-4)
Using the zero product property
x-4 = 0 x-4 =0
x=4 x=4
The dot plot below represents this set of data:
30, 29, 30, 28, 28, 27, 22, 28, 28, 22, 27, 26, 25, 27
Answer:
True
Step-by-step explanation:
All of them match up
Can someone help me out plz
Answer:
Around 59.69026
Step-by-step explanation:
C = Circumference (What we are looking for)
R = 9.5yd (Radius)
C = 2(Pie [I can't find the symbol])rC = 2(Pie)9.5C ≈ 59.69026The slopes of two lines. Determine the value of ‘a’ that will make the lines
parallel
and perpendicular
Sally and Mia run a furniture making company. They work together to build and paint custom dressers.
Sally charges a $100 flat fee for each dresser she builds, plus $420 for each hour she spends building.
Mia charges a $150 flat fee for each dresser she paints, plus $390 for each hour she spends painting.
a) Represent what Sally charges for one dresser as a polynomial. Remember to define any variables!
b) Represent what Mia charges for one dresser as a polynomial. Remember to define any variables!
c) Write a new SIMPLIFIED polynomial that represents their total charges, together, for one dresser.
Answer:
y = 250 + 810x
Step-by-step explanation:
Let
y = total charges
x = cost per hour
Sally: building
y = 100 + 420x
Mia: painting
y = 150 + 390x
Find their total charges of building and painting
Add the total charges of both of them
y = 100 + 420x + 150 + 390x
y = 250 + 810x
AHHHHHHHHHHHH I HATE THIS PLS HELP ME
Answer:
y = 2/3x - 13/3
Step-by-step explanation:
Implying the x and y coordinates, you get this.
Solve the following given problem
Answer:
The radius is 3.5cm
Step-by-step explanation:
Given
[tex]V = 192.5cm^3[/tex]
[tex]h = 5cm[/tex]
Required
The volume (V)
The volume of the vase is:
[tex]V = \pi r^2h[/tex]
So, we have:
[tex]192.5 = 22/7 * r^2 * 5[/tex]
Divide by 5
[tex]38.5 = 22/7 * r^2[/tex]
Multiply by 7/22
[tex]12.25= r^2[/tex]
Take positive square roots
[tex]r = 3.5[/tex]
Stacy spent £12 on ingredients for bread.
She made 18 loaves and sold them for £1.10 each.
Calculate her percentage profit.
Answer:
39.4 or 40 % depending on which place you round it to
Step-by-step explanation:
18 * 1.10= 19.8
(19.8 - 12) / 19.8 = 0.39393939...
so 39.4 or 40 % depending on which place you round it to
Question 5 of 41
Which of the following best describes the volume of a solid?
A. It is the sum of the base area plus the lateral area of the solid.
B. It is the amount of three-dimensional space inside the solid.
C. It is the distance around the base of the figure.
D. It is the total area of the exterior surface of the solid.
SUBMIT
B. It is the amount of three-dimensional space inside the solid.
What is volume?Volume, measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.
The volume of a solid is the measure of the amount of three-dimensional space that is occupied by the solid.
It is a measure of the physical space that the solid occupies in three-dimensional space. It is different from the surface area or perimeter of a solid which measure the amount of space that is taken up by the solid in two dimensions.
In summary, the volume of a solid refers to the amount of three-dimensional space that is enclosed by the solid, and it is an important measurement in many fields including engineering, architecture, and physics.
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To join the tennis club, there is a $10.20
initial fee and a $3.90 yearly fee. What
would be the value of the slope in this
situation?
Use this space to write down notes or work through problems
Your teacher will see what you wrate.
Answer:
10.20
Step-by-step explanation:
Let
y = Total fee
Initial fee = $10.20
Yearly fee = $3.90
Number of years = x
The equation:
y = 3.90x + 10.20
Recall,
y = mx + c
Where,
x = slope
c = y - intercept
Therefore,
The y - intercept from y = 3.90x + 10.20 is 10.20
Nick drew a rectangular political cartoon that measures 2 inches by 4 inches. He wants to enlarge the cartoon by a scale factor of 3 for a poster presentation. The area of the original cartoon will be what fraction of the area of the enlarged cartoon?
Answer:
I believ the answer is 6/12 or 1/2
Step-by-step explanation:
2x3 = 6 and 4x3 = 12 and 6/12 simplified would be 1/2
Answer:
I believe the answer is 6/12 or 1/2
Step-by-step explanation:
Write an equation
in slope y-intercept form A(2,6),m=0
Solve for b:
y = 0x + b
6 = 0 + b
b = 6
The answer is y = 0x + 6
porfavor ayudenme con esta radicacion no la entiendo√81 ∙ 49
Answer:
441
Step-by-step explanation:
sqrt81=9
9 x 49=441
Answer:
441
Step-by-step explanation:
√ 9 ^2 ⋅ 49
9 ⋅ 49 = 441
Given HM = 24 and mHK = 66 , find x and y
Answer:
x=24,y=33
hopefully this answer can help you to answer the next question
The height and radius of a cone are each multiplied by 11. What effect does this have on the volume of the cone?
The volume of the cone is multiplied by (Blank 1).
The volume of the new cone would be 1331 times more than the volume of the original cone. Thus, The volume of the original cone is multiplied by 1331
The volume of the cone can be calculated by the given formula:
The volume of cone = [tex]\frac{1}{3} \pi r^{2} h[/tex]
where r = radius of the cone
h = height of the cone
Solution:
The volume of the original cone= .......1
It is given that the height and radius of a cone are multiplied by 11.
then volume
= [tex]\frac{1}{3} \pi (11r)^{2} (11h)[/tex]
= [tex]\frac{1}{3} \pi (121r^{2}) (11h)[/tex] .........2
The change in volume of the cone after multiplying 11 to r and h would be
dividing equation 2 by equation 1
= [tex]\frac{1}{3} \pi (121r^{2}) (11h)[/tex]/[tex]\frac{1}{3} \pi r^{2} h[/tex]
= 121*11
= 1331
Thus, The volume of the original cone is multiplied by 1331
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The points E, F, G and H all lie on the same line segment, in that order, such that the
ratio of EF: FG: GH is equal to 5 : 2:3. If EH = 60, find GH
Answer:
Hello,
Step-by-step explanation:
ratio of EF: FG: GH is equal to 5 : 2:3.
[tex]\Longrightarrow \dfrac{EF}{5} =\dfrac{FG}{2}=\dfrac{GH}{3}=k\\\\EF=5*k\\FG=2*k\\GH=3*k\\\\\\EH=EF+FG+GH=5k+2k+3k=10k\\\\EH=10k=60 \Longrightarrow k=6\\\Longrightarrow GH=3*k=3*6=18(cm)[/tex]
The length of GH is 18 units.
What is a Line Segment?A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given below shows a line segment EH, where the length of line segment EH refers to the distance between its endpoints, E and H.
Given that the points E, F, G and H all lie on the same line segment
E______________F______________G_____________H
We have to determine GH
We have the ratio of EF: FG: GH is equal to 5 : 2 : 3.
Then EF/5 = FG/2 = GH/3 = c
So EF = 5c, FG = 2c, and GH = 3c
Given that EH = 60,
⇒ EH = EF + FG + GH
⇒ 60 = 5c+ 2c+ 3c
⇒ 10c = 60
⇒ c = 60/10
⇒ c = 6
So GH = 3(6) = 18
Hence, the length of GH is 18 units.
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If 55% people in a city like Cricket, 30% like Football and the remaining like nother games, then what per cent of the people like other games? If the total people is 60 lakh, find the exact number who like each type of games Answer it fast, no spam please
write in notebook
[tex]\large{\dag\:{\underline{\underline{\frak{\pmb{\red{Answer:-}}}}}}}[/tex]
Cricket = 55%Football = 30%Other games = Remaining (?)So, the percent of people who like other games equals:
= 100 – (55 + 30)
= 100 – 85
= 15%
If the total no. of. people is 60,00,000:
★ Cricket
= 60,00,000 × 55/100
= 33,00,000
★ Football
= 60,00,000 × 30/100
= 18,00,000
★ Other sports
= 60,00,000 × 15/100
= 9,00,000
URGENT PLS HELP<3 Each person needs to rent a helmet for $5. Write the expression for the total cost for the helmets.
Answer:
5n
Step-by-step explanation:
cost of one helmet = $5
let 'n' be the number of person that is n=1,2,3,4........
note that the value of n is always a natural number
therefore the expression = 5n
where 5 is the cost one helmet
n is the number of persons
Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
A. 11.7
B. 11.9
C. 11.4
D. 14.4
Answer:
Option A, 11.7
Step-by-step explanation:
To find height,
tan 68 = 26/h
h = 26/tan(68)
to find x
tan(42) = h/x
x = h/tan(42)
x = 11.7 (rounded to the nearest tenth)
Answered by GAUTHMATH
A rectangular shape of dimension 95 m by 75 m is drawn to a scale of 1 cm to 10 m . Find the area of the drawing
Answer:
71.25
Step-by-step explanation:
That's the answer
Triangle ABC is a right triangle.
Triangle A B C. Angle A is x degrees, B is 90 degrees, C is (x minus 10) degrees. The exterior angle to angle C is (2 x + 40) degrees.
Which equations can be used to find the value of x? Check all that apply.
x + 90 + (x minus 10) = 180
x + 90 + (2 x + 40) = 180
2 x + 80 = 180
x + 90 = 2 x + 40
(x minus 10) + 90 = 2 x + 40
Answer:
x + 90 + (x minus 10)= 180° can be used to find the value of x.
Answer:
A) X+90+ (x-10) - 180
C) 2x+80 = 180
D) x+90 = 2x+40
Step-by-step explanation:
What is the area
Help quick pls
Answer:
22 cm
Step-by-step explanation:
just add
Answer:
50 + [tex]5\sqrt{6}[/tex] =
62.24744871
Step-by-step explanation:
10* 5 = 50
triangle 5^2 + x^2 = 7^2
x = [tex]\sqrt{24 }[/tex]
area triangle = 1/2 * [tex]\sqrt{24 }[/tex] *5
[tex]\sqrt{24} = 2\sqrt{6}[/tex]
area triangle = [tex]5\sqrt{6}[/tex]
ABC is a right-angled triangle. Angle B = 90. Angle A = 36. AB = 8.7 cm. Work out the length of BC. Give your answer correct to 3 significant figures.
Answer: About 6.321 cm
Step-by-step explanation:
[tex]tan(x)=\frac{opposite}{adjacent}[/tex]
[tex]tan(36)=\frac{x}{8.7} \\\\x=8.7*tan(36)=6.3209...[/tex]
HURRY PLEASE!
Evaluate –5u for u = –4.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{-5u}[/tex]
[tex]\huge\textsf{= -5(-4)}[/tex]
[tex]\huge\textsf{= 5(4)}[/tex]
[tex]\huge\textsf{= 20}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{20}}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
see ss below
please show all work
Answer:
Solution given:
since Rosie walked 18 km INA first day.
so
first term[a]=18km
again
she walked 90% of what she walked the day before which means
common ratio decreasing
common ratio[r]90%=0.9
sum of 10th day[tex]S_{10}[/tex]=?
no of term (n)=10
now
we have
[tex]Sum_{10}=\frac{a(r^{n}-1)}{r-1}[/tex]
substituting value:
=[tex]\frac{18(0.9^{10}-1)}{0.9-1}[/tex]
=117.28km
in nearest 10 it is 117km
the total distance Rosie had travelled by the end of 10 days is 117km.
(A) What is the domain of K
(B) What is the range of K
