There are 130 people in a sport centre. 61 people use the gym.
68 people use the swimming pool.
60 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
19 people use the gym and the track.
6 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?
Step-by-step explanation:
Number of people who uses the gym and the track, and also uses the pool = Number of people who use all 3 facilities = 6. (given)
Number of people who uses the gym and the track, and may or may not use the pool = 19. (given)
Therefore number of people who use the gym and track, but do not use the pool = 19 - 6 = 13.
Probability = (13/19) * 100% = 68.4%.
The scale on a map is 1 cm equals 10 miles. Find the length on the map of 300 miles, 150 miles, 60 miles, and 170 miles. List your answers in numerical order.
Answer:
30 cm = 300 miles
15 cm = 150 miles
6 cm = 60 miles
17 cm = 170 miles
The length of maps of 300miles, 150 miles,170mile and 60 miles are 30cm ,15cm, 17cm and 6cm respectively.
What is unit conversion?
A method of converting from one unit to another.
According to the given question we have
1cm = 10miles
⇒ 1mile = [tex]\frac{1}{10} cm[/tex] = 0.1cm
Therefore, the length on map of
300 miles = 300 × 0.1 = 30cm150 miles = 150 × 0.1 = 15cm170 miles = 170 × 0.1 = 17cm 60 miles = 60 × 0.1 = 6cmLearn more about unit conversion here:
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Which expression is equivalent to this expression?
4a + (–6b) – 3a + 2b
Answer:
a−4b
Step-by-step explanation:
=4a+−6b+−3a+2b
Combine Like Terms:
=4a+−6b+−3a+2b
=(4a+−3a)+(−6b+2b)
=a+−4b
I like your cut g ;)
Write 12 1/ 3 as an improper fraction.
Answer:
37/3
Step-by-step explanation:
we start with 12 1/3 multiply the whole number-12 with the denominator-3 that make 36 add the numerator-1 this makes 37, this is your new numerator
The length of a rectangle is 2 cm greater than its width. The area of the rectangle is 80 cm?. Find the width of the rectangle
A.
2 V10 cm
B
8 cm
С
10 cm
D
19 cm
Answer:
B. 8cm
lololol
4.) A recipe uses 1.75 cups of flour to make 24 cookies. How many cups of flour are needed to make 72 cookies? *
Answer:
5.47 cups of flour
Step-by-step explanation:
In the triangle below, what is the length of the hypotenuse?
A. 3√3
B. 6
C. 3√2
D. √3
Answer:
B. 6Step-by-step explanation:
I'd like to begin by apologizing for the late reply.
PROCESS:
1) Begin by analyzing the triangle
2) Notice how you can take the sin of 30 to find the hypotenuse
3) sin30= 3/x
4) If you don't see how I did that, a fun trig word play for functions, is
S O/H
C A/H
T O/A
where
S= Sine
C= Cosine
T= Tangent
O= Opposite
H= Hypotenuse
A= Adjacent
so side opposite of 30 is side 3, and the hypotenuse is x.
5) sin30= 3/x = 6
6) Your answer, hypotenuse is 6
BONUS: If you want to find the base length, use Pythagorean theorem.
c=√a2+b2
b=√c2-a2= √6^2 - 3^2= 5.19 or 5.2
Hi. Please i need help with this . No jokes . I need help with (vii) and (ix)
9514 1404 393
Answer:
(vii) 25/4
(ix) -61/6
Step-by-step explanation:
(vii) Once again, we remind you that for ax²+bx+c=0, ...
α+β = -b/a = -(-7/2) = 7/2 = 3.5
αβ = c/a = -3/2 = -1.5
Then the desired expression is ...
α/(β+1) +β/(α+1) = (α² +α +β² +β)/((α+1)(β+1))
= ((α+β)² -2αβ +(α+β))/(αβ +(α+β) +1)
= (3.5² -2(-1.5) +3.5)/(-1.5 +3.5 +1) = 18.75/3 = 6.25 = 25/4
__
(ix) α/β +β/α = (α²+β²)/(αβ)
= ((α+β)² -2αβ)/(αβ) = (3.5² -2(-1.5))/-1.5 = 15.25/-1.5 = -61/6
Emma used 1/7 of a liter of milk to make 1/3 of a jug of tea. How much milk, in liters, is required to fill the jug?
Answer:
Step-by-step explanation:
Well....if 1/7 liters of milk makes 1/6 of a jug
Then six times this must be a full jug....so
6*(1/7) =
6/7 liters of milk required
i hope this helps you happy holidays let me know if you need more information
Answer:
6/7
Step-by-step explanation:
Which phrase best describes the translation from the graph y = 2x^2 to the graph of y= 2x^2 + 5?
O5 units up
O5 units down
O 5units right
O5 units left
Answer:
05 units up and down
Step-by-step explanation:
hope this hepled luv!
The phrase that best describes the translation from the graph y = 2x^2 to the graph of y = 2x^2 + 5 is "5 units up".
What is transformation on the graphs?Let the functions f(x) and g(x) be two real functions.
And g (x) = f (x) + k, where k is real numbers.
The function can be sketched by shifting f (x), k units vertically.
The direction of shift can be found by the value of k:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
Adding a constant term to a function vertically shifts its graph up or down, depending on the sign of the constant.
In this case, the constant term is positive (+5), which means that the graph of y = 2x² + 5 is shifted upward by 5 units compared to the graph of y = 2x².
Therefore, the correct phrase is "5 units up".
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Veronica is buying a new pair of Hollister jeans for $50.00. They are on sale for 25% off.
a. What is the sale price of the jeans?
Answer:
$37.5
Step-by-step explanation:
25% = 1/4
50/4 = 12.5
50 - 12.5 = 37.5
hope this helped (:
Answer:
37.5
Step-by-step explanation:
Convert the 25% to a decimal (0.25) and multiply by 50
Which is 12.5
Subtract 50 by 12.5
Answer is $37.5
You could also multiply 50 * .75
Jessica made $95 for 5 hours of work.
At the same rate, how much would she make for 13 hours of work?
Answer:
$247
Step-by-step explanation:
95/5= 19 to find rate per unit which means,
Jessica makes $19 dollars a hour.
19 x 13= $247
So Jessica made $247 in 13 hours of work.
Answer:
she would make $247
Step-by-step explanation:
A 5-foot piece of string costs $4.20. What is the price per inch?
Answer:
$0.035
Step-by-step explanation:
Answer: 0.84 cents per inch
Step-by-step explanation: Just do division to get your answer:)
Sovle for x !!!!!!!!
Answer: A -11
Step-by-step explanation: trust me
You are selling items at the football game to raise money for the school's athletic teams. You
sell pizza for $5 per slice and drinks for $3 per cup. Your sales totaled $1020. If you sold 84
slices of pizza, how many drinks did you sell?
Need help asapp
Answer:
200 cups of drinks sold
Answer:
200 cups
Step-by-step explanation:
5<-2t-3 Need steps and the answer
Answer:
t<−4
Step-by-step explanation:
switch sides
-2t-3>5
then add three to both sides:
-2t-3+3>5+3
simplify:
-2t>8
then multiply both sides -1 (reverse the inequality)
(-2t)(-1) <8 (-1\)
simplify:
2t<-8
Divide both sides by 2:
2t/2 <-8/2
Answer:&&&&&&
SOrry dont know buddy
Step-by-step explanation:
SOLVE ASAP:
mass of 42.5 and a volume of 5.4 cm3 what is its density
Answer:
7,870,370
give me brainliest
will make you BRAINLIEST please help me please
Answer:
You have to substitute the x-values into the function :
[tex]f(x) = {11}^{x} [/tex]
[tex]f( - 2) = {11}^{ - 2} = \frac{1}{121} [/tex]
[tex]f( - 1) = {11}^{ - 1} = \frac{1}{11} [/tex]
[tex]f(0) = {11}^{0} = 1[/tex]
[tex]f(1) = {11}^{1} = 11[/tex]
[tex]f(2) = {11}^{2} = 121[/tex]
Help ASAP anyone :)!!!??!
Answer:j
Step-by-step explanation:
A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value?
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 1 millimeters Over 10 centimeter EndFraction times StartFraction 1 year Over 365 days EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 1 centimeter Over 10 millimeters EndFraction times StartFraction 365 days Over 1 year EndFraction
StartFraction 4 centimeters Over 1 year EndFraction times StartFraction 10 millimeters Over 1 centimeter EndFraction times StartFraction 365 days Over 1 year EndFraction
Answer:
Step-by-step explanation:
the answers below are hard to read
we have 4 cm/year and the realtor wants to convert in mm/day
4 cm=40 mm this is our first step
1 year=365 days
we will have 40mm/365days
or 4cm/1 year x 10 mm/365 days
Given the equation y = 2x + 4, what would the value of y be when x = 1?
5
7
1
6
Answer:
6
Step-by-step explanation:
y=2x+4
y=2(1)+4
y=2+4
y=6
In a recent survey of 247 nurses, 162 were unhappy with their jobs due to the difficult working hours and work-related stresses. Find the percent unhappy with their jobs.
Answer:
162 is 65.587044534413% of 247
rounded its 66%
Step-by-step explanation:
Answer:
162/247×100=67%
Step-by-step explanation:
Name the property that proves these triangles are congruent
Answer:
triangle
Step-by-step explanation:
A bee flies at 6 feet Per second directly to a flower bed from its hive. The bee stays at the flower bed for 19 minutes, and then flies directly back to the hive at 4 ft per second. Is away from the high for a total of 24 minutes. What equation can used to find the distance of the flower bed from the hive? How far is the flower bed from the hive?
Answer:
720 feet
Step-by-step explanation:
We can Find the travelling time. We know that the bee spends 19 minutes hunting down the nectar in the flowerbed. But was away from the hive for a total of 24 minutes, then the travelling time becomes(24min - 19min) = 5 min
Then let us Convert to seconds vfir consistency
1 minute = 60 seconds
5 minutes = (5×60 )= 300 seconds.
Then the travelling time becomes 300 seconds
We can Find the time each way, since we know that the total time is 300 seconds, though not evenly divided
Let us denote the time there = t
the time back = (300 - t)
But the distances are the same.
r = 6 m/s and r1 = 4 m/s
t1 = t and t2 = (300 - t)
Let dthere = dback
Where, d =( rate × time)
(6× t )= 4 (300 - t)
6t= 1200 - 4t
10t=1200
t=120 seconds
To Find the distance?
d =( rate × time)
d = ? r = 6 m/s and t = 120 second
d = r*t
d = 6 × 120
= 720 feet
Hence, instance of the flower bed from the hive is 720 feet while the equation is ( d = r*t)
Please help me please
Answer:
The graph of f is shifted 6 units up to create the graph of g
Option A is correct option.
Step-by-step explanation:
We are given f(x)=x
and g(x)=f(x)+6
We need to find how f(x) and g(x) are related.
We know that according to translation rules:
if we have f(x) as original graph and f(x)+d as translated graph it means the original graph f(x) is shifted d units up.
So, in our case f(x)=x
g(x)=f(x)+6
The graph of f is shifted 6 units up to create the graph of g
Option A is correct option.
Which of the following statements about air masses is true?
A.
Air masses maintain the same moisture and temperature as they move over new areas.
B.
Air masses are areas of condensed water vapor, which are also known as clouds.
C.
Air masses are responsible for creating holes in the ozone layer.
D.
Air masses are created by patterns of heating and cooling of the Earth's surface.
Air masses are created by patterns of heating and cooling of the Earth's surface. Therefore, option D is the correct answer.
Air masses are large bodies of air that move over the Earth's surface. They are created when large amounts of air are heated and cooled in different areas of the Earth. As the air masses move, they maintain the same moisture, temperature, and other characteristics they had when they originated. Air masses are responsible for many of the weather patterns we experience on Earth.
Therefore, option D is the correct answer.
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A store sells 4 T-shirts for $38.64. What is the unit cost per T-shirt?
Answer:
9.66
Step-by-step explanation:
38.64/4
9.66
Soo like could u help me someone give me the answer but they for to explain or show the reasoning so plz help
CAN SOMEONE PLEASE HELP ME WITH THIS please please help me with this please please
Answer:
Congruent
3x= 360 I believe if this is the outside of the triangle?
x= 120
Step-by-step explanation:
brainliest
Answer:
1. Congruent
2. 3x= 360
3. x= 120
Step-by-step explanation:
An acid is prepared by mixing 400 mL of water and 100 mL of pure sulfuric acid. What is the
percentage by volume composition of sulfuric acid?
A. 15 %
B. 20%
C.25%
D.30%