Each school year, the seventh graders who study Life Science participate in a special field trip to the city zoo. In 2010, the school paid $1,260 for 84 students to enter the zoo. In 2011, the school paid $1,050 for 70 students to enter the zoo. In 2012, the school paid $1,395 for 93 students to enter the zoo. A. Is the price the school pays each year in entrance fees proportional to the number of students entering the zoo? Explain why or why not.
Answer:
The price is proportional to number of students
Step-by-step explanation:
Given
2010: $1260 for 84 students
2011: $1050 for 70 students
2012: $1395 for 93 students
Required
Determine if the price is proportional to number of students
To do this, we simply divide the price by number of students in each year.
[tex]Ratio = \frac{Price}{Students}[/tex]
In 2010
[tex]Ratio = \frac{\$1260}{84}[/tex]
[tex]Ratio = 15[/tex]
In 2011
[tex]Ratio = \frac{1050}{70}[/tex]
[tex]Ratio = 15[/tex]
In 2012:
[tex]Ratio = \frac{1395}{93}[/tex]
[tex]Ratio = 15[/tex]
Notice that the ratio in the 3 years is 15.
Hence, the price is proportional to number of students
Indica que medida hay que adicionar alas siguientes para obtener 1dm cúbico en cada caso a. 27cmcubicos b. 300cm cúbicos c. 0,0001 m cúbicos d. 12,000mm cúbicos
Answer:
A) Debe agregarse 973 centímetros cúbicos para obtener un decímetro cúbico.
B) Debe agregarse 700 centímetros cúbicos para obtener un decímetro cúbico.
C) Debe agregarse 0,0009 decímetros cúbicos para obtener un decímetro cúbico.
D) Debe agregarse 999988 milímetros cúbicos para obtener un decímetro cúbico.
Step-by-step explanation:
A) Sabemos que un decímetro cúbico equivale a 1000 centímetros cúbicos, entonces la cantidad a adicionar a los 27 centímetros cúbicos para obtener un decímetro cúbico es:
[tex]x = 1000\,cm^{3}-27\,cm^{3}[/tex]
[tex]x = 973\,cm^{3}[/tex]
Por tanto, debe agregarse 973 centímetros cúbicos para obtener un decímetro cúbico.
B) Sabemos que un decímetro cúbico equivale a 1000 centímetros cúbicos, entonces la cantidad a adicionar a los 300 centímetros cúbicos para obtener un decímetro cúbico es:
[tex]x = 1000\,cm^{3}-300\,cm^{3}[/tex]
[tex]x = 700\,cm^{3}[/tex]
Por tanto, deben agregarse 700 centímetros cúbicos para obtener un decímetro cúbico.
C) Sabemos que 0,0001 metros cúbicos equivalen a 0,1 decímetros cúbicos, entonces la cantidad a adicionar a 0,1 decímetos para obtener un decímetro cúbico es:
[tex]x = 1\,dm^{3}-0.1\,dm^{3}[/tex]
[tex]x = 0.9\,dm^{3}[/tex]
Por tanto, deben agregarse 0,0009 decímetros cúbicos para obtener un decímetro cúbico.
D) Sabemos que 1 decímetro cúbico equivale a 1000000 milímetros cúbicos, entonces la cantidad a adicionar 12 milímetros cúbicos es:
[tex]x = 1000000\,mm^{3}-12\,mm^{3}[/tex]
[tex]x = 999988\,mm^{3}[/tex]
Por tanto, deben agregarse 999988 milímetros cúbicos para obtener un decímetro cúbico.
Circle M is shown below
If mKN is 20° and m<T=30°, what is the measure of SP?
A. 50°
B. 80°
C. 35°
D. 25°
Answer:
Step-by-step explanation:
A
The measure of SP is 80°, therefore, option (B) is correct.
What is the arc measure?The center angle that creates the intercepted arc is what is known as the arc measure, which is measured in degrees.
Given that, mKN= 20° and m∠T = 30°.
The formula for the measure of angle ∠T is:
[tex]m\angle{T}= \frac{mSP - mKN}{2}\\30^{\circ} = \frac{mSP - 20^{\circ}}{2}[/tex]
60° = mSP - 20°
mSP = 60° + 20°
mSP = 80°
Hence, the measure of SP is 80°, therefore, option (B) is correct.
Learn more about the arc measures:
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Simplify [tex]\sqrt{ \frac{25y^2}{6x}[/tex]
the answer should look smething like this [tex]\frac{b \sqrt{x} }{y}[/tex]
Answer:
[tex] \frac{5y \sqrt{6x} }{6x} [/tex]
Step-by-step explanation:
[tex]\sqrt{ \frac{25y^2}{6x}} \\ \\ = \frac{5y}{ \sqrt{6x} } \\ \\ = \frac{5y \sqrt{6x} }{ \sqrt{6x} \times \sqrt{6x} } \\ \\ = \frac{5y \sqrt{6x} }{6x} [/tex]
ות
A dock is 7 3/4m high. The portion of the dock above water one day was measured at 2 2/5m high.
How much of the dock structure was above water that day?
Answer:
dont use this
Step-by-step explanation:
oinf+euiv=4
solve
[tex]8x + \frac{5}{2} = 13[/tex]
please help me
Answer:
[tex] x = 1 \frac{5}{16}[/tex]
Step-by-step explanation:
[tex]8x + \frac{5}{2} = 13 \\ \\ 8x = 13 - \frac{5}{2} \\ \\ 8x = \frac{13 \times 2 - 5}{2} \\ \\ 8x = \frac{26 - 5}{2} \\ \\ 8x = \frac{21}{2} \\ \\ x = \frac{21 }{2\times 8} \\ \\ x = \frac{21}{16} \\ \\ x = 1 \frac{5}{16} \\ [/tex]
What do you say to misbehaving polor bear?
Answer: You say “You're on thin ice”.
what is 1.7- 0.8=
please help as soon as fast
Answer:
0.9
Step-by-step explanation:
Answer:
0.9!
Step-by-step explanation:
well this is kinda going to be self explantiory just subtract so like 7-8, turn the 7 into 17 and so do 17 -8 which is 9. And since you cannot do 7-8 you have to take the 1 from the 1.7 right so 1-0 will turn into 0-0 with is 0! so 0.9 will be your answer, hopethis helps!
p= 40 + 0.15(40)
= 40 +
Answer:
46
Step-by-step explanation:
p=40+0.15(40)
=40+6
Answer:
40 + 6
Step-by-step explanation:
0.15(40) = 0.15 × 40 = 6I hope this helps!
Noah puts $500.00 into an account to use for school expenses. The account earns 3% interest, compounded annually. How much will be in the account after 8 years?
A. 633.39
B.647.28
C.598.57
D. 618.72
It’s for a test please I need a answer
d
Step-by-step explanation:
Write the parent function equation for a linear function
How would you break down 40% to find 40% of a number? Check all that apply. 46(10%)
2(25%)
10% + 10% + 10% + 10%
25% + 10%
50% + 10% + 10%
Answer:
I guess B?
Step-by-step explanation:
TBH I'm very confused with this problem, but I would probably say B, none of the others make even a remote bit of sense.
Answer:
The answer is A and C or 4(10%) and 10% + 10% + 10% + 10%
Step-by-step explanation:
I got it right on edge.
The local recreation center charges members a registration fee and a separate monthly membership fee. The equation of the function given models the total fee, f(x), in dollars, that a person pays for x months of membership.
f(x)=25x+50
What does the number 25 represent?
A. the initial registration fee
B. the number of months that a person is a member
C. the monthly membership fee
D. the total amount that a member pays in fees
Whats double of 8x4?
Answer:
64
Step-by-step explanation:
cus 8 times 4 is 32 and 32 times 2 is 64
The double of 8 multiplied by 4 is 64. This means that if we multiply 8 by 4 and then multiply the result by 2, we obtain 64. The multiplication operation is performed first (8 * 4 = 32), and then the result is doubled by multiplying it by 2 (2 * 32 = 64).
To find the double of 8 multiplied by 4, we can perform the following calculation:
Double of 8x4 = 2 * (8 * 4)
First, we multiply 8 and 4:
8 * 4 = 32
Next, we multiply the result by 2:
2 * 32 = 64
Therefore, the double of 8 multiplied by 4 is 64. This means that if we multiply 8 by 4 and then multiply the result by 2, we obtain 64. The multiplication operation is performed first (8 * 4 = 32), and then the result is doubled by multiplying it by 2 (2 * 32 = 64).
Learn more about Expressions of double here:
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FOR 10 POINTS
Which of the following arithmetic sequences have a common difference of 2 1/2
Answer: -4,-1.5,1,3.5,6,8.5
Step-by-step explanation: You can check that the difference of any of its consecutive terms is always equal to 2.5.
8.5 - 6 = 2.5
-1.5 - (- 4) = 2.5
3.5 - 1 = 2.5
the difference of a number m and 30 is 10?
Answer:
m - 30 = 10
m = 40
30 - m = 10
m = 20
Hope This Helps!
Find the slope from the following table: x 2 3 4 y 4 5 6
Answer:
the slope is 1
Step-by-step explanation:
The linear equation is y=x+2
Х
1
2
3
4
у
2
4
6
8
Determine the slope
Answer:
m=2
Step-by-step explanation:
(1,2), (2,4)
4-2/2-1
2/1
m=2
y/-7 = 1/14
y = ?
pls answer as a reduced fraction.
Answer:
y = -1/2
Step-by-step explanation:
−7⋅
Answer:
y=-1/2Step-by-step explanation:
y/-7=1/14
use cross multiplication
ie,14×y=1×-7 14y= -7 y= -7/14 y= -1/2Hope it helps
Savannah, Greg, and kevin all take part time jobs for the summer. Their hourly wages are shown in the tables below use the information to answer each question.
Answer:
you didnt show the table and I need the ta le in order to answer your question
Write the slope-intercept form of the equation of the line if m= 3 and b =
(0, 1)
Answer:y=3x+1
Step-by-step explanation:
Slope intercept form is y=mx+b
(m) is slope
(b) is y int
y=3x+1
What is the value of √x+3 when x = 15? 15√3 9√2 6√3 3√2
Answer:
√15+ 3
6,9
√3,9 x 3,9+ 3
3,9 +3 =6, 9
This is a long division please can you help me with the all the work in the problem please ;)
Here's the answer I just got it in the potomath
If RT bisects SU, find each measure ST, RU, SV, SU,
Answer:
ST = 23
RU = 8
SV = 5
SV = 10
Step-by-step explanation:
Use the knowledge of the properties of a kite to find the measure of ST, RU, SV, and SU as shown below:
✍️Recall: Each pair of adjacent sides of a kite are congruent/equal.
ST and TU are a pair of adjacent sides.
TU = 23
✅Therefore, ST = 23.
RU and RS are a pair of adjacent sides.
RS = 8
✅Therefore, RU = 8.
✍️ Recall: the longer diagonal of a kite bisects the shorter one. This means RT divides SU into two equal parts, namely SV and UV.
Since UV = 5, therefore,
✅SV = 5
SU = UV + SV
✅SV = 5 + 5 = 10
A bisector divides the lines it bisects into equal segments
The measures of ST, RU, SV, SU are 23, 8, 10 and 5 respectively
From the diagram, we have:
[tex]\mathbf{TU = 23}[/tex]
[tex]\mathbf{UV = 5}[/tex]
[tex]\mathbf{RS = 8}[/tex]
Because RT bisects SU, then:
[tex]\mathbf{ST = TU}[/tex]
So, we have:
[tex]\mathbf{ST = 23}[/tex]
Also, we have:
[tex]\mathbf{RU = RS}[/tex]
So, we have:
[tex]\mathbf{RU = 8}[/tex]
Also, we have:
[tex]\mathbf{SV =VU \times 2}[/tex]
[tex]\mathbf{SV =5 \times 2}[/tex]
[tex]\mathbf{SV =10}[/tex]
Lastly, we have:
[tex]\mathbf{SU =VU}[/tex]
[tex]\mathbf{SU =5}[/tex]
Hence, the measures of ST, RU, SV, SU are 23, 8, 10 and 5 respectively
Read more about bisectors at:
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Which of the following best describes the graph shown below?
A. This is the graph of a one-to-one function.
B. This is the graph of a linear function.
C. This is the graph of a function, but it is not one-to-one.
D. This is not the graph of a function.
31.41 to the neartest hundredth
Answer:
31.4 is the answer
Step-by-step explanation:
Answer:
31.4
I hope this helps!
heya! ^^
Help me
[tex]\boxed{ \large{ \sf{Question: }}}[/tex]
Five years ago,A's age was four times the age of B.Five years hence A's age will be twice of the age of B. Find their present ages.
_______________________
best of luck ^^
And don't spam =_=
Answer:
Let us consider B’s age = X
Then A’s age = 4X
Five years ago
⇒ A’s age = 4X + 5
⇒ B’s age = X + 5
Five years hence
⇒ A’s age = 4X + 5 + 5
⇒ A’s age = 4X + 10
⇒ B’s age = X + 5 + 5
⇒ B’s age = X + 10
From the given question
4X + 10 = 2(X + 10)
4X + 10 = 2X + 20
4X – 2X = 10
2X = 10
X = 5
A’s age = 4X + 5
A’s age = 25 years
B’s age = X + 5
B’s age = 10 years
please mark me as brainliest
How do I use multiplication to convert 4 and 5/6 into an improper fraction?
Answer:
4 5/6
4×5=20+6=
26/6
26÷2=13
6÷2=3
Answer:
you multiply 4*5/6 which will give you 10/3 which is an improper fraction the decimal form would be 3.3 continuation and the mixed number form would be [tex]3\frac{1}{3}[/tex]
Step-by-step explanation:
You can download songs online for $0.99 each. Write an equation relating the total cost (c) to the number of songs (s) you download. Define your variable: Write the equation: How much would 50 songs cost?
I'LL GIVE BRAINLIEST !!!
Answer:
It would cost $49.50
$0.99 x 50 = $49.50
Which expression is equivalent to 4(x + 6)?
O A. 4x + 6
O B. 5x + 10
O C. X + 24
OD. 4x + 24