Answer:
The formula of D (t) is .1000.(1.1)/45+4t
Step-by-step explanation:
The expression representing the number of students serviced by the school system in the town of Emor, t years from 2000 is:
And the expression representing the number of classrooms in the town of Emor, t years from 2000 is: s(t)=10,000.(1.1)^t
The expression D (t) represents the average number of students per classroom in Emor's school system t years from 2000.
Then the average number of students per classroom can be computed by:
C(t)=450+40t.
Average number of students/classroom = Number of students/Number of classrooms so the answer is D (t) .1000.(1.1)/45+4t
Thus,the formula of D (t) is .
Seven friends shared a Two-thirds pound bag of pistachios. If each person had the same amount of nuts, how many pounds did each person eat?
StartFraction 2 Over 21 EndFraction
StartFraction 3 Over 14 end Fraction
4 and two-thirds
10 and one-half
Answer:
3 over 14.
Step-by-step explanation:
Ken's heart rate went from 74 beats per minute while resting to 148 while exercising what is the percent increase in his heart rate
Answer:
Subtract the original from the new to find the difference:
It was a 200% increase.
Step-by-step explanation:
Subtract the original from the new to find the difference:
148 - 74 = 74
Now divide the new by the difference:
148 / 74 = 2
Multiply that by 100 to get the percentage:
2 x 100 = 200%
What number must be placed in the box in the equation below to produce an equation that has more than one solution: 5u+3(4u-6)=-3u-27+20u+ ▢
Answer: the number must be placed in the box is 9
suppose: the number must be placed in the box is x
have:
5u + 3(4u - 6) = -3u -27 + 20u + x
⇔ 5u + 12u - 18 = -3u - 27 + 20u +x
⇔ 17u + 3u - 20u = -27 + 18 + x
⇔ 0 = x - 9
⇔ x = 9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Simplifying both sides gives
17u - 18 = 17u - 27 + ▢.
Subtracting 17u from both sides gives
-18 = -27 + ▢.
If the number in the box is anything but 9, then the equation cannot be true, and the original equation has no solutions. If the number in the box is 9, then the two sides of the original equation are equivalent, and all values of u are solutions to the equation.
need help asap (mathmatics.)
Answer:B
Step-by-step explanation:
Answer: the correct answer is B (3,0)
Step-by-step explanation: HOPE THIS HELPS HAVE A GOOD DAY
Simplify the ratio 5:20
answer 1:4
explanation:Simplify Ratio 5:20
To simplify the ratio 5:20, we find the greatest common divisor of 5 and 20, and then we divide 5 and 20 by the greatest common divisor.
The greatest common divisor that you can use to simplify 5:20 is 5. Which means the answer to ratio 5:20 simplified is:
1:4
please hurry!!!! look at screenshot!!
Answer:
BCD= 15
Step-by-step explanation:
3x-15+?=180
3x=180
x=60
x=60
3(60)-15=180
180-15=165
Maria borrowed $3,000 at a simple interest rate of 4% per year. How much did she have to repay after 4 years?
$3480
$480
$7800
$4800
Answer:
$3480
Step-by-step explanation:
an architect is designing a commemorative steel arch in the shape of a parabola. its axis is vertical and its feet are 300 yd. apart. If the focus of the parabolic arch is to be 80 yd. above the ground, how high must the arch be?
Answer:
125yd
option b is correct
The height of the arch from the ground will be 125 yards.
Given information:
An architect is designing a commemorative steel arch in the shape of a parabola.
Parabola is vertically placed and its legs are 300 yards apart.
The focus of the parabola is 80 yards above the ground.
Let a be the distance of focus from the vertex of the parabolic arch.
So, the equation of parabola will be,
[tex]x^2=-4ay[/tex]
Assume the origin is placed on the vertex of the parabola.
So, the coordinates of the legs will be,
(-150, -(80+a)) and (150, -(80+a))
Satisfy the above point with the equation of parabola as,
[tex]x^2=-4ay\\150^2=4a(80+a)\\a^2+80a-5625=0[/tex]
Solve the above quadratic equation as,
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\a=\dfrac{-80\pm\sqrt{80^2+4\times 1\times5625}}{2}\\a=\dfrac{-80\pm170}{2}\\a=-125, 45[/tex]
The value of a can't be negative. So, [tex]a=45[/tex].
So, the height of arch will be,
[tex]80+a=80+45\\=125\rm\;yd[/tex]
Therefore, the height of the arch from the ground will be 125 yards.
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Peter shot 40 free throws. He made 80% of his shots. What fraction is equivalent to 80%? Pleas answer im trying to get my work done over here. Im in math honors and im really not feeling it today so someone please!
Answer:
32 free throws.
Step-by-step explanation:
It is given that,
Peter shot 40 free throws. He made 80% of his shots.
We need to find the fraction that is equivalent to 80%.
It means we have to find 80% of 40. It can be calculated as follows :
[tex]F=\dfrac{80}{100}\times 40\\\\=32[/tex]
80% of 40 is equivalent to 32 free throws.
It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety. a)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth. B) Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.
Answer:
a) 0.71
b) 0.06
Step-by-step explanation:
We solve using Baye's Theorem
It is estimated that 88% of senior citizens suffer from sleep disorders and 7% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
We have Two events
A and B
Events A = 88% of senior citizens suffer from sleep disorders
P(A) = 0.88
Event B = 7% suffer from anxiety
P(B) = 0.07
Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.
P(A and B) = 0.05
a)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.
This is calculated as:
P(A and B)/P(B)
= 0.05/0.07
= 0.7142857143
Approximately = 0.71
B) Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.
This is calculated as:
P(A and B)/P(A)
= 0.05/0.88
= 0.0568181818
Approximately = 0.06
Hi My Name Is Christine I am New on here and I need help on math I'm usually good at it but I need help please
Also before I put the question I need a Boy Named Scott They always seem to be smart So if your name is Scott HELP
5x-3x+58=?
Answer: 2x+58
Step-by-step explanation:Combine Like Terms:
=5x+−3x+58
=(5x+−3x)+(58)
=2x+58
which equation is equivalent to 19x+12y=17?
Answer:
A
y=-19/12x+17/12
Step-by-step explanation:
Write in slope-intercept form,y=mx+b
The equation i.e. 19x + 12y = 17 equivalent to the [tex]y = \frac{19}{12}x + \frac{17}{12}[/tex].
Given that,
The equation i.e. 19x + 12y = 17.We need to find the equation i.e. equivalent to the above.Based on the above information, the calculation is as follows:
19x + 12y = 17
Here we need to solve it for y
[tex]y = \frac{19}{12}x + \frac{17}{12}[/tex]
Therefore, we can conclude that the first option is correct.
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Mia has $50 on a gift card to her favorite coffee shop. Each time she visits the coffee shops she spends $3.75 on her favorite drink. Choose the equation that represents the relationship between x, the number of times she visits the coffee shop, and y, the total amount on her gift card.
Given:
Value of Gift card = $50
Each time she visits the coffee shops she spends $3.75 on her favorite drink.
To find:
The equation for the given situation.
Solution:
Let x be the number of times she visits the coffee shop, and y be the total amount on her gift card.
Cost of her favorite drink for one time = $3.75
Cost of her favorite drink for x times = $3.75x
Value of gift card is $50. So,
Amount on her gift card = 50 - Cost of her favorite drink for x times
[tex]y=50-3.75x[/tex]
Therefore, the required equation is [tex]y=50-3.75x[/tex].
PLEASE HELP FAST!!!!
factor completely: 5x^3+40x^2-2x-16
Answer:
(x+8)(5x2−2)
Step-by-step explanation:
Hope this helps have a nice day :)
Simple stuff
5+5=______
Answer:
10?
Step-by-step explanation:
Which equation represents the line with a slope of
5
6
that passes through the point
(
−
2
,
1
)
?
what is 3 times piy time 53 divided by 72
Answer:
6.93768377668
Step-by-step explanation:
confusion
r numbers 13 - 17, use f(x) =
3x – 9
1+1
13) Where is the y-intercept?
A. (0-9)
B. (0,-1)
C. (0, -3)
D. (0,9)
Answer:
A is correct
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
13-17=-4
f(3x-9)=6xwhere you f=6x-4=
Solve the equation: 3(x - 5) = x + 21
( please help me )
Answer:x=18
Step-by-step explanation:
3(x-5)=x+21
Distribute the 3
3x-15=x+21
Add 15 to each side
3x=x+36
Subtract x from each side
2x=36
Divide each side by 2
x=18
A telephone poll asked people whether they like playing golf. Of the 10,000 people polled, 5% like playing golf. How many people said they like playing golf?
Answer:
500 people
Step-by-step explanation:
To find how many people said they liked golf, find 5% of 10,000, by multiplying 10,000 by 0.05:
10,000(0.05)
= 500
So, 500 people said they liked playing golf
If MJKL is congruent to UVWX, then
ML is congruent to UV
MJ is congruent to WX
JK is congruent to VW
DUX is congruent to JK
shala bought a pen on sale. she saved 17 percent of the original price of 29$. about how much money did she save?
A.1$
B.5$
C.10$
E.20$
Answer:
B or E im not sure
Step-by-step explanation:
$4.93
Step-by-step explanation
That's the exact answer but going of your answers it'll be 5$
Discount:
(29 x 17)/100 = $4.93
Final Price:
29 - 4.93 = $24.07
Answer:
the answer for edge 2021 is 5
Step-by-step explanation:
Please mark brainliest
Which of the following numbers ordered from least go gratest?
0.5, 5/8, 65%, 3/5.
Answer:
0.5 3/5 5/8 65%
Step-by-step explanation:
Answer:
Your answer is 0.5, 3/5, 5/8, 65%.
Step-by-step explanation:
Convert all numbers to decimals:
0.5 = 0.5
5/8 = 0.625
65% = 0.65
3/5 = 0.6
Arrange the numbers accordingly: 0.5, 0.6, 0.625, 0.65. Hence, your answer is 0.5, 3/5, 5/8, 65%.
Brady went on a field trip to the water park. The cost of the trip was $19.99 to get into the park. He bought a hot dog for $3.50 and spent $2.10 on gas money. How much money did Brady spend?
Given:
Cost of the trip to get into the park = $19.99
Brady bought a hot dog for $3.50 and spent $2.10 on gas money.
To find:
The total money Brady spend.
Solution:
It is clear that,
Total money he spend = Cost of the trip to get into the park + Cost of a hot dog + Amount he spent on gas money
On substituting the values, we get
Total money he spend = $19.99 + $3.50 + $2.10
= $25.59
Therefore, the total money Brady spend is $25.59.
Solve.
-11 2/3 x (-4 1/5)=
A.44 2/15
B.-44 2/15
C.49
D.-49
In a sequence, each number after the first number is obtained by adding 4 to the previous number. If the first number in the sequence is 7, which of the following expressions represents the nth number in the sequence?
A 7+4n
B 7+(4n−1)
C 7+4(n−1)
D 7+4(n+1)
Expression (C) [7 + 4(n - 1)] represents the nth number in the given arithmetic sequence.
What is an arithmetic sequence?A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15. Starting with a number and repeatedly adding a fixed constant (d) to it is an easy technique to create a series.So, in the arithmetic sequence, there is a formula to find the nth term in the series.
Formula for aₙ term is: aₙ = a₁ + d(n - 1)Where d is the common difference and n is the number of terms.Here, d is 4 and a₁ is 7.Then, For aₙ term:
aₙ = a₁ + d(n - 1)aₙ = 7 + 4(n - 1)Therefore, expression (C) [7 + 4(n - 1)] represents the nth number in the given arithmetic sequence.
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Shean has a piece of string 7/8 meter long. He uses 1/5 of he piece of string to tie a package and cuts the rest into 5 equal parts. What is the length of the pieces.
Answer:
7/50 meter
Step-by-step explanation:
Total piece of string = 7/8 meter
Used string = 1/5 of the piece of string
Used string =
1/5 of 7/8 meter
= 1/5 × 7/8
= 7/40 meter
Balance = Total string - used string
= 7/8 - 7/40
= 35-7/40
= 28/40
Balance = 28/40 meter
cuts the rest into 5 equal parts. What is the length of the pieces.
28/40 ÷ 5
= 28/40 × 1/5
= 28 / 200
= 7/50 meter
Length of each piece = 7/50 meter
A polynomial function has a root of –3 with multiplicity 2, a root of 0 with multiplicity 1, a root of 1 with multiplicity 1, and a root of 3 with multiplicity 2. If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?
If 260 is 20% what is the number for 80%
Hi, I need help pretty plz! If anyone has the right answers, plz share! Thank u!
(Screenshots below)
Answer:
squareroot 18, 9, 4pi, 14
b - squareroot of 4 is 2and the squareroot of 9 is 3. 5 is between 4 and 9, meaning it must be between 2 and 3. Also a negative so on the left of the 0.
c - sqrt of 1 is 1 and sqrt of 4 is 2. between 1 and 2. closer to 2 (because 3 is closer to 4) than to 1.
j=irrational cant be in fraction form
k=rational is in raction form
l= rational it equals 4 which is an integer
m=irrational because it has pi in it
for the graph...
j=3.46
k=1.88
l=4
m=4.71
Step-by-step explanation:
Use a calculator or think about perfect squares to determine answers.
rational can be a fraction or integer, irrational has pi or a decimal.