In a poll to pick the name of a new planet discovered in a distant solar system, a total of 963 scientists voted. There were four names to pick from. The winning name exceeded the other names by 53, 79, and 105 votes, respectively. How many scientists voted for the name which came fourth in the poll?
Answer:
195
Step-by-step explanation:
Let wining name have, x votes
1st = x
2nd = x - 53
3rd = x - 79
4th = x - 105
x + (x - 53) + (x - 79) + (x - 105) = 963
x + x - 53 + x - 79 + x - 105 = 963
4x - 237 = 963
4x = 963 + 237
4x = 1200
x = 1200 / 4
x = 300
4th = x - 105
x - 105 = 300 - 105 = 195
Ben wants to have his birthday at the bowling alley with a few of his friends, but he can spend no more than $80. The bowling alley charges a flat feeof $45 for a private party and $5.50 per person for shoe rentals and unlimited bowling. Write an inequality that represents the total cost of Ben’s birthday for p people given his budget.
Answer:
45+5.50p=80
Step-by-step explanation:
45 is the flat fee and 5.50 is the shoe rental and unlimited bowling, so p is next to that because its 5.50 PER person so if ben had 2 people it would be 5.50 times 2 plus 45. But remember it cannot be over 80. please mark brainliest
The radius of the base of a right circular cone is 6 yards, and its slant height is 12 yards. If the radius and the slant height are each multiplied by 4, by what factor is the surface area multiplied?
A. 4
B. 8
C. 16
D. 24
Answer:
the correct answer is C
Step-by-step explanation:
i took the test
In ΔJKL, the measure of ∠L=90°, JK = 5.8 feet, and LJ = 4.4 feet. Find the measure of ∠K to the nearest degree.
Answer:
The answer is 49.
Step-by-step explanation:
\sin K = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{4.4}{5.8}
sinK=
hypotenuse
opposite
=
5.8
4.4
\sin K = \frac{4.4}{5.8}
sinK=
5.8
4.4
K=\sin^{-1}(\frac{4.4}{5.8})
K=sin
−1
(
5.8
4.4
)
K=49.343\approx 49^{\circ}
K=49.343≈49
Find the sum of the measures of the interior angles of the indicated convex polygons.
1. 17-gon
2. 24-gon
Answer:
1. 17 - gon
sum of the of measures of interior angles = 180(n-2).....(formula)
here n = 17
therefore, 180(17-2)
= 180(15)
= 2700 degrees
2] 24 - gon
sum of the of measures of interior angles = 180(n-2).....(formula)
here n = 24
therefore, 180(24-2)
= 180(22)
= 3960 degrees.
Sansa shifted the parabola y = x^2 by 3 units to the right. Which of the following equations corresponds to the resulting graph?
А) y = x2 + 3
B) y = x2 + 9
C) y = x2 + 6x + 9
D)y = x2 - 6x + 9
Answer:
y = (x - 3)^2
Step-by-step explanation:
The original function is y = x^2. Its vertex is at (0, 0). Translating the graph h units to the right results in g(x) = (x - h)^2; h units to the left results in h(x) = (x + h)^2.
In this particular case we have y = x^2 and are translating the graph 3 units to the right. Thus, the original function y = x^2 becomes y = (x - 3)^2.
the area of a triangle is 36cm squared. give three possible sets of dimensions for the triangle's base and height, explain whether you can also give the side lengths of the triangle
Answer:
1.
Set 1: b = 1, h = 72
Set 2: b = 2, h = 36
Set 3: b = 3, h = 24
2. Yes, you can accurately find the length of the sides.
Hope this helps. Have a nice day.
Molly is saving money in her ERHS bank account for her upcoming trip to Disney World. On the first day, she put in $34 and plans to add 8 more dollars each day. The Disney trip is in 187 days from the day he started saving. How much money will he have on the 187th day?
Answer:1522
Step-by-step explanation:
I used a calculator
PLZ GIVE BRANILY
Which expressions are equivalent to 7x - 14? Check all that apply.
A: 14 - 7x
B: x - 2
C: -(14 - 7x)
D: 7(x - 2)
E: 3x - 14 + 4x
F: 2x - 10 + 5x + 4
Answer:
c
d
e
Step-by-step explanation:
Find the value of the variables
Answer:
Step-by-step explanation:
[tex]\text{Since there are two 45 degree angles.}\\ \\ a=4\sqrt{2}\\ \\ \text{By the Pythagorean Theorem }c^2=a^2+b^2,\text{ and in this case a=b so }\\ \\ c^2=2(4\sqrt{2})^2\\ \\ c^2=2(16)2\\ \\ c^2=64\| \\ c=\sqrt{64}\\ \\ c=8[/tex]
Help plz im doing homework!!!!!
HELP PLS :(
At a closed landfill, trash is decaying at a rate of 50% every 15 years.
Which type of function best models the amount of
trash that is remaining after x years?
linear
exponential
quadratic
cubic
Answer:
I believe it's linear
Step-by-step explanation:
don't quote me on that tho
I thought I had $35 in my bank account.
When I checked my balance, I actually
had $75. Aaayyyyeeee!!! What was my
percent error?
your awnser will be 100 because if
Triangle ABC is an acute triangle. Two sides measure 5 and 7. What is the range of possible values for its third side?
Answer:
the desired range is 2 < t < 12.
Step-by-step explanation:
If the third side is 12 (the sum of 5 and 7), we don't really have a triangle, since the 5-unit and 7-unit sides add up to 12 and lie on the third side (of length 12).
Since triangle ABC is acute, all its angles are between 0 and 90 degrees. So the third side can be 12 but not greater. The smallest possible length of the third side is 2, since 5 + 2 = 7.
Thus, the desired range is 2 < t < 12.
Question 2
Which of the following sets of ordered pairs represents a relation that is not a function?
Forty-five percent of customers at a grocery store use a coupon. Let X = the number of customers selected at random before one is found who will use a coupon.
What are the mean and standard deviation of X?
Round each answer to 3 decimal places.
Mu Subscript x Baseline = StartFraction 1 Over p EndFraction =
Sigma Subscript x Baseline = StartFraction StartRoot 1 minus p EndRoot Over p EndFraction =
Answer:
mean = 2.222
Standard deviation = 1.648
Step-by-step explanation:
The answer
Michèle is buying carpet for a room with the dimensions shown
can u solve this with the work ?
Answer:
just search up Mathaway in your browser you will get your answer and a step by step explanation!
Step-by-step explanation:
Answer:
156
Step-by-step explanation:
find the values of x and y.
Answer:
x= 60° , y = 60 °
Step-by-step explanation:
x = 60°
y = 60°
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you .
if you find it useful.
HELPPPPPPPPPPPPPPPP
Don’t do it if u don’t know because this is important and I can’t get a bad grade
Answer:
it is A hope this helps
Step-by-step explanation:
factorise completely 5x²-5
Factor:
5x^2 − 5
5x^2 − 5
= 5 ( x + 1 ) ( x − 1 )
Answer:
5 ( x + 1 ) ( x − 1 )
Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified expressions.
Which is the correct simplified expression for Aryana’s expression?
What is the result for both expressions when x = 3?
Answer:
7x+6
Step-by-step explanation:
Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified expressions. Which is the correct simplified expression for Aryana's expression? What is the result for both expressions when x = 3?
Simplified Expression:
3(x + 4) + 2(2x – 3)
3x+12+2(2x-3)
3x+12+4x-6
7x+6
Answer:
the first box is 7x+6 and the other one is 27
Step-by-step explanation:
A scientist illegally introduces new species of honey bees in their labs. The growth of the population of this new species is modeled by the equation below, where x is the time in weeks following the introduction of the species. If the lab contains 450 bacteria after 2 weeks, how many bacteria did the scientist initially create?
A,30
b.40
c.50
d.60
please help!! will mark brainliest
What is the area of a circle whose radius is 54 feet?
The area is ___ ∏ ft²
Answer:
2916 pi ft
Step-by-step explanation:
Area of a circle: pi r ^2
54^2 = 2916
Hope this helps!
A brick wall will be shaped like a rectangular prism. The wall needs to be 3 feet tall, and the builders have enough bricks for the wall to have a volume of 330 cubic feet. Give one pair of possible whole-number dimensions for the base.
Answer:
6 ft
Step-by-step explanation:
1 x 5 x 3 x3 x 3x 3 x 3 x3 x 3 x 3 x3x 3x 3x
i hope it help
2. Mr. Hoffman has a circular chicken coup with a radius of 2.5 feet. He wants to put a chain link fence around the coup to protect the chickens. Which measurement is closest to the length of fence he will need?
Answer: 15.7ft
Step-by-step explanation:
Answer:
15.7 ft
Step-by-step explanation:
took the test
soylindo del 1 al 10
Answer:
6.5
Step-by-step explanation:
If a train goes 20 km east then it turns and travels 43 km north then it goes 20 km west then travels south in an unknown number of kilometers and at the end there back in the original location how far did the train travel south
Answer:
Answer is 43 km.
Step-by-step explanation:
Let's draw diagram to solve the problem.
Perform the operation.
(8x2 – 7x – 2) – (6x2 – x + 3)
Answer:
2 x² - 6x -5
Step-by-step explanation:
Expansion:-
Given that the expression
(8x²-7x-2)-(6x²-x+3)
= 8x² - 6x² - 7x +x -2 -3
= 2 x² - 6x -5
637m as a fraction of 7.7km
Answer:
637/7700
Step-by-step explanation:
7.7 km = 7700 m