Answer:
Step-by-step explanation:
If there are 1500 total students.
75% or 1125 are boys
25% or 375 are girls.
A Rental Car Agency charges a flat fee of $25 per day plus $0.15 for each mile driven. The total charge for one day's rental was $75.30. Which equation below can be used to solve this problem?
Answer:
Step-by-step explanation:
75.30-25 for a day leaves 50.30 for mileage.
50.30/.15 per mile= 335.3 miles driven.
75.30>=25+0.15m. m=335.3
What is the sum of the first eight terms in this series?
2+10+50+250+.....
Answer:
C.195312
Step-by-step explanation
The sum of geometric sequence 2,10,50... up to 8 terms is 195312. Therefore, option C is the correct answer.
The given geometric sequence is 2+10+50+250+.....
What is the sum of the geometric sequence formula?Sum of the geometric sequence is S = a + ar + ar² +....+ [tex]ar^{n-1}[/tex].
The first term of the series is a and the common ratio is r.
The sum of the geometric sequence formula is [tex]S_{n} =\frac{a(r^{n} -1)}{(r-1)}[/tex] .
Now, a=2
To find r,
r = 10/2
r = 5 and n = 8
S = 2 ([tex]5^{8}[/tex]- 1) / (5 - 1)
S = 2(390625 - 1) / 4
S = (390624) / 2
S = 195312
Therefore, the sum of geometric sequence 2,10,50... up to 8 terms is 195312.
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what is the value of q in the equation 3(q+4/3) =2
Step-by-step explanation:
3q+(3×4÷3)=2
3q+4=2
3q=2-4
3q=-1
q=-1÷3
What is slope intercept form?
O
a + b =C
O y = 3m + b
O
y = mx + b
Answerc
Step-by-step explanation:
Answer:
Step-by-step explanation: a
Answer me plzzzz fast ASAP
Answer:
this is payback for what you did here
Step-by-step explanation:
Solve y = x2-5 for x.
O A. x = +/-5
B. X = y + 5
C. X = +/y+5
O D. x = y-5
A farmer grows a particular plant that has a gene that can be manipulated to control the age t at which the plant matures. The number of seeds S(t) produced by a plant maturing at age t is S(t)=−0.3t2+30t+0.2 seeds per mature plant A farmer asks the geneticists to genetically engineer a plant line that accounts for the fact that on his farm, only P(t)=90000t+100, plants mature to age t. What age of maturity should the geneticist select for the plants to maximize the seed production of the farmer's crop?a. Between 130 and 140 days b. Between 120 and 130 days
Answer:
The correct option is;
Between 40 and 50 days
Step-by-step explanation:
The number of seeds that are produced by a plant maturing at age t, S(t), is given as follows;
S(t) = -0.3·t² + 30·t + 0.2
The proportion of plants maturing at age (t) in the plants to be engineered by the geneticist P(t) = 90000/(t + 100)
The number of seeds produced by the plants = S(t) × P(t) = (-0.3·t² + 30·t + 0.2)×(90000/(t + 100))
To find the maximum number of seeds, we differentiate using an online tool, and equate to zero to get;
d((-0.3·t² + 30·t + 0.2)×(90000/(t + 100)))/dt = (-27000·t² - 5400000·t + 269982000)/(t + 100)² = 0
(-27000·t² - 5400000·t + 269982000)/(t + 100)² = 27000(t - 41.419)(t + 241.419)/(t + 100)² = 0
t = 41.419 or t = -241.419
Therefore, in order to maximize the production of seed of the crops of the farmer, the geneticist should select between 40 and 50 days.
AB=CD what is the property
The formula for the area of a triangle is A =12bh, in which b represents the length of the base and h represents the height. If a triangle has an area of 232 mm 2 and the height is 16 mm, what is the measure of the base? The measure of the base is mm.
Answer:
Step-by-step explanation:
Write it out: A = 1/2(bh)
substitute values: 232 = 1/2(16b)
Simplify: 232 = 8b
Divide each side by 8: b = 29
The base is 29 millimeters
If you have 3.15 pieces of chocolate and you give 1.6 pieces to your friend how many pieces of chocolate do you have left?
Answer:
1.55
Step-by-step explanation:
A class has 5 girls and 9 boys. Select all associated ratios for this class.
A. 5:4
B. 5:14
C. 9:14
D. 14:11
E. 5:4
F. 9:5
G. 4:9
H. 5:9
help what goes where? correct answer only pls :)
Answer:
2(3 + w) = 6 + 2w
2(1 + w) = 2 + 2w
3(2 + w) = 6 + 3w
6(1 + w) = 6 + 6w
Step-by-step explanation:
2 x 3 = 6 and 2 x w = 2w: Therefore your answer is 6 + 2w
2 x 1 = 2 and 2 x w = 2w: Therefore your answer is 2 + 2w
3 x 2 = 6 and 3 x w = 3w: Therefore your answer is 6 + 3w
6 x 1 = 6 and 6 x w = 6w: Therefore your answer is 6 + 6w
for which division problems is 54 the quotient write those divison problems in the box
Answer:
what?
Step-by-step explanation:
The division problems for which 54 is the quotient are, 2430÷45 and 594÷11
What are quotient?The number we obtain when we divide one number by another is the quotient.
Given are the numbers, we need to find which one of them gives the quotient of 54
When we divide 2430÷45, we will get 54
And, 594÷11 = 54
Hence, The division problems for which 54 is the quotient are, 2430÷45 and 594÷11
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Need rn! worth 30
Evaluate the function T(x)=19−x, when x=−3.
a.) 57
b.) 22
c.) 16
d.) −16
Answer:
b
Step-by-step explanation:
Please only answer if you know the answer
Don’t say dumb stuff or just lie and about the answer or just put Radom words please
What is the measure of angle a?
A) 54
B) 46
C) 126
D) 136
Answer:
Step-by-step explanation: 54+54=108
360-108=252 divide by 2
Answer:
C
Step-by-step explanation:
a and 54° are adjacent angles and are supplementary, thus
a = 180 - 54 = 126 → C
What is the volume of a cone (in cubic inches) with a radius of 3 inches and a height of 6 inches?
Use 3.14 for π. Round your answer to the nearest hundredth.
Answer:
V≈56.55in³
Step-by-step explanation:
Answer:
56.55
Step-by-step explanation:
just took the test dattebayo.
In 1992, Disney created a one-of-a-kind special pin. Each year, the pin’s value appreciates by a constant amount. In 1997, the pin was valued at $350. In 2002, it was valued at $600. Let x be the number of years since 1992 and y be the value of the pin in dollars. Write a linear equation in slope-intercept form that models this situation.
Answer:
[tex]y = 50x + 50[/tex]
Step-by-step explanation:
Given
x = years since 1992.
y = value of pin
This means that
[tex]x = 1[/tex] ----- in 1992
[tex]x_1 = 6[/tex]; [tex]y_1 = 350[/tex] ---- in 1997
[tex]x_2 = 11;[/tex] [tex]y_2 = 600[/tex] ---- in 2002
Required
Determine the line equation in slope intercept form
First, we need to determine the slope (m) of the line
[tex]m = \frac{y_2 - y_1}{x_2- x_1}[/tex]
[tex]m = \frac{600 - 350}{11- 6}[/tex]
[tex]m = \frac{250}{5}[/tex]
[tex]m = 50[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
Recall that
[tex]x_1 = 6[/tex]; [tex]y_1 = 350[/tex]
[tex]m = 50[/tex]
So, we have:
[tex]y - 350 = 50(x - 6)[/tex]
[tex]y - 350 = 50x - 300[/tex]
[tex]y = 50x - 300 + 350[/tex]
[tex]y = 50x + 50[/tex]
Polygon R and polygon S are similar. The perimeter of polygon R is 72 cm, and the perimeter of polygon S is 36 cm. If one side of polygon S is 6 cm, what is the length of the corresponding side in polygon R?
Answer:
the answere is 10
Step-by-step explanation:
Please help me out with this please
Answer:
2nd from the bottom
Step-by-step explanation:
Is -23.4 greater or less than 23.4
Answer:
No 23.4 is greater
Step-by-step explanation:
-23.4 is negative so that means it is less than 0
A shop sells packets of envelopes.
There are 5 envelopes in a small packet.
There are 20 envelopes in a large packet.
There is a total of T envelopes in x small packets and y large packets.
Write down a formula for T in terms of x and y.
9514 1404 393
Answer:
5x +20y = T
Step-by-step explanation:
There are 5 envelopes in each of x small packets, for a total of 5x envelopes in small packets.
There are 20 envelopes in each of y large packets, for a total of 20y envelopes in large packets.
The total number envelopes is then ...
T = 5x +20y
a tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an inital speed of 120 feet per second. which equation correctly models the balls height as a function of time
Answer:
An equation that correctly models the ball's height as a function of time is:
h (t) = - 16t ^ 2 + 130t + 2
Step-by-step explanation:
i hope this helps !
Answer:
h(t) = -16t^2 + 120t + 2
Step-by-step explanation:
Mr. Omar assigns homework to his class and the homework requires students to
find the prime factorization of 648 using the factor tree method. Kumar wrote the
following. Is he correct? If not, explain why and show the correct method.
Kumar’s solution: 162 X4
Which correctly describes how the graph of the inequality 4x − 2y > 20 is shaded?
Above the solid line
Below the solid line
Above the dashed line
Below the dashed line
Answer:D Below the Dashed line
Step-by-step explanation:
Just took the test
Answer:
Below the dashed line so the answer is D
Step-by-step explanation:
just finished taking the quiz with this same answer!!
A fitness center charges a monthly fee to use the facilities plus $3 for each fitness class. One month Sara took 6 classes and paid $30 for the month. If she paid $48 for the next month how many classes did she take?
Answer:
12
Step-by-step explanation:
3x6 = 18
30-18 = 12 so the monthly fee is twelve
-----------------------------------------------------------------
48- 12 = 36 (cost of classes)
36/3= 12
Estimate the value of the square root
/20
Answer:
about 5
Step-by-step explanation:
Alex rode his bike 25 kilometers. About how many miles did Alex ride his bike?
Answer:
Alex rode 15.5343 miles in his bike
Step-by-step explanation:
1 kilometer is 0.621371 miles, multiply 0.621371 with 25. Hope this helps!
Alex rode his bike for 15.535 miles.
What is unit conversion?Unit conversion means the conversion between different units and measurements of the same quantity done by the process of multiplication or division.
Given
Alex rode his bike 25 kilometers
1 kilometer = 0.6214 miles
25 kilometers = 0.6214 × 25 = 15.535 miles
Hence, ride distance is 15.535 miles.
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If you poured 15 teaspoons of salt into an empty graduated cylinder, about how many milliliters would it fill?
Answer:
About 75
Step-by-step explanation:
Answer:
1 cubic millimeter = (about) 0.000202884 us spoons
Then you can use multiplication to solve it.
Step-by-step explanation:
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Hope my answer helps :)
Select all lines with a slope of 2/5
Answer:
C and D
Step-by-step explanation:
Answer:
Pull a mil' in a day, ain't even have the bill
On your pill, everyday I just be sippin' Chamomile
Mass appeal, everybody show up 'cause they know I'm here
Every week, I be on the face, she think it's Cetaphil
Up in my business, pull up in my crib
I got people locked and loaded like they trained for ISIS
Askin' for forgiveness, I never said you have it
Pullin' all these dimes like, do you really want attention?
Step-by-step explanation: