Given:
Joining fee = $28
Fee of each event = $4
To find:
Total cost for someone to attend 4 events.
Solution:
Let the number of events be x and total fee be y.
Fee for 1 event = $4
Fee for x events = $4x
Joining fee remains constant. So, the total fee is
[tex]y=28+4x[/tex]
Substitute x=4 in this equation.
[tex]y=28+4(4)[/tex]
[tex]y=28+16[/tex]
[tex]y=44[/tex]
Therefore, total cost of 4 events is $44.
The three-digit number "ab5" is divisible by 3. How many different three-digit numbers can "ab5" represent?
Answer:
30
Step-by-step explanation:
I can't prove this, but I can tell you the answer.
30.
a = 100 s digit
b = 10 s digit
5 is always the units digit.
I'm pretty sure that 30 is the correct answer.
What an interesting question. If I find out how it is done, I'll post it in the comments.
I can say this much.
a + b + 5 must be divisible by 3.
a = 1 b = 9 + 5
a = 1 b = 6 + 5
a = 1 b = 3 + 5
a = 1 b = 0 + 5
===============
Three more are obtained by interchanging the 100s and 10s digit except for b = 0
a = 9 b=1 + 5
a = 6 b =1 + 5
a = 3 b= 1 + 5
==================
a = 2 b = 2 + 5
a = 2 b = 5 + 5
a = 2 b = 8 + 5
only 2 more are obtained by interchanging the 10s and 100s digit
=============
a = 3 b = 4 +5
a = 3 b = 7 +5
You can't go any further. You get 2 more by interchanging the b and a digits.
=============
I hope you see what I've done here. I don't think this is an exact proof, but it is an exhaustive search.
X 2.2.PS-15
Challenge The price of Stock A at 9 A.m. was $12.96. Since then, the price has been increasing at the
rate of $0.11 each hour. At noon the price of Stock B was $13.46. It begins to decrease at the rate of
$0.12 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the
same?
In how many hours will the prices of birch stocks be the same?
Answer:
$6.36 would be your answer￣へ￣
Answer: 0.56 round to the nearest tenths which is 6. So, it’s $6
Step-by-step explanation:
Help solve this issue with mathematics
Answer:
last one
Step-by-step explanation:
i would say the last one, but im not sure, this one is really hard
if petrol cause $1.20 per gallon how much would 5 3/4 gallons cost
Answer:
$6.90
Step-by-step explanation:
1.20 x (5 3/4) = 6.9
$300 + $0.07s = $426
Answer:
0.0.0.0
Step-by-step explanation:
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What is the solution to the equation?
3 + 3x – 5 = r
A.
-2 and -7
B.
2 and 7
O c.
-2
D. 7
PLEASE ANSWER ASAP
Part I: Given the function ()-3./242)
A. What restriction is there on the value under the square root symbol? In other words, what can't you
do with a square root expression? (1 point)
Answer:
x - 2 ≥ 0
Step-by-step explanation:
The expression under the square root cannot be negative, thus
x - 2 ≥ 0 , that is
x ≥ 2
An element's identity is determined by the number of
Answer:
number of protons
Step-by-step explanation:
The identity of an element is determined by the number of protons. One cannot alter the number of protons without altering the identity of the element. By adding a proton, the atomic number increases by one and the element identity changes. Number of neutrons can be altered to create isotopes.
The cost $y$ (in dollars) to rent a kayak is proportional to the number $x$ of hours that you rent the kayak. It costs $27 to rent the kayak for 5 hours
Note: Consider we need to find the constant of proportionality.
Given:
The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.
It costs $27 to rent the kayak for 5 hours.
To find:
The constant of proportionality.
Solution:
The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak.
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where, k is constant of proportionality.
It costs $27 to rent the kayak for 5 hours. So, put x=5 and y=27 in the above equation.
[tex]27=k(5)[/tex]
Divide both sides by 5.
[tex]\dfrac{27}{5}=k[/tex]
Therefore, the constant of proportionality is [tex]\dfrac{27}{5}[/tex].
slope of - 1/2 and y-intercept of 3
Answer: 5/2
Step-by-step explanation:
Solve for x
3x−8≤23 AND −4x+26≥6
Answer:
Step-by-step explanation:
Ok so the first one is X<31/3
And the second one is X>-5
Determine the solution to the equation. 8+4x=2x+8+2x
Answer: x= all real numbers.
Step-by-step explanation: Simplify the equation first. 8+4x=2x+8+2x. Add the variables on the right side. 4x+8=4x+8. Because the two sides are exactly equal, x can be all real numbers.
Answer:
8=8
Step-by-step explanation:
8+4x=2x+8+2x
combine like terms
8+4x=4x+8
subtract 4 from both sides
8=8
I HOPE THIS HELPED!!!!
Emily is preparing cookies for her friends she is at the market where she sees a 14 ounce bag of chocolate chips for 3.50 the market also sells a 24 ounce bag for 5.28 which size bag is better to buy
Answer:
Bag 2
Step-by-step explanation:
Given
Bag 1:
[tex]14\ ounce = 3.50[/tex]
Bag 2:
[tex]24\ ounce = 5.28[/tex]
Required
Which is a better buy
To get which buy is better, we first get the unit price of each bag.
[tex]Unit\ Price = Amount/Size[/tex]
For bag 1:
[tex]Unit\ Price = 3.50/14[/tex]
[tex]Unit\ Price = 0.25[/tex]
For bag 2:
[tex]Unit\ Price = 5.28/24[/tex]
[tex]Unit\ Price = 0.22[/tex]
The best buy is the one with smaller unit price
Hence, bag 2 is better to buy
Which linear equations have an infinite number of solutions? Check all that apply.
(x – 3\7) = 2\3 (3\2x – 9\14 )
8(x + 2) = 5x – 14
12.3x – 18 = 3(–6 + 4.1x)
1\2(6x + 10) = 7(3\7x – 2)
4.2x – 3.5 = 2.1 (5x + 8)
Answer:
a) (x – 3\7) = 2\3 (3\2x – 9\14 )
c) 12.3x – 18 = 3(–6 + 4.1x)
Step-by-step explanation:
A linear equation can be said to have an infinite number of solutions when the number of the right hand side is the same at the number on the left hand side of the equation.
For example:
2 = 2 or x = x or 0 = 0
Solving the question above:
Which linear equations have an infinite number of solutions? Check all that apply.
a) (x – 3\7) = 2\3 (3\2x – 9\14 )
x - 3/7 = 6x/6 - 18/42
x - 3/7 = x - 3/7
Collect like terms
x - x = -3/7 + 3/7
0 = 0
The linear equation in option a has an infinite number of solutions
b) 8(x + 2) = 5x – 14
8x + 16 = 5x - 14
Collect like terms
8x - 5x = -14 - 16
3x = -30
x = -30/3
x = -10.
The linear equation in Option b has a true solution.
c) 12.3x – 18 = 3(–6 + 4.1x)
12.3x - 18 = -18 + 12.3x
Collect like terms
12.3x - 12.3x = -18 + 18
0 = 0
The linear equation in Option c has infinite number of solutions
d) 1\2(6x + 10) = 7(3\7x – 2)
6x/2 + 5 = 21/7x - 14
3x + 5 = 3x - 14
Collect like terms
3x - 3x = -14 - 5
0 = -19
The linear equation Option d has no solution
e) 4.2x – 3.5 = 2.1 (5x + 8)
4.2x - 3.5 = 10.5x + 16.8
Collect like terms
4.2x - 10.5x = 16.8 + 3.5
-6.3x = 20.3
x = -20.3/6.3
x = -3.22
Hence, the linear equation in Option e has a true solution
Therefore, the linear equations have an infinite number of solutions are:
a) (x – 3\7) = 2\3 (3\2x – 9\14 )
c) 12.3x – 18 = 3(–6 + 4.1x)
Answer(x – 3\7) = 2\3 (3\2x – 9\14 ) and (12.3x – 18 = 3(–6 + 4.1x)
Step-by-step explanation:
There are 500 students in the 8th grade. Three percent were absent Friday. How many 8th graders were NOT absent Friday?
Answer:
485
Step-by-step explanation:
500/100=5
5*3=15
500-15=485
Hope this helps;)
Answer:
485
Step-by-step explanation:
Fifteen more than the square of a number is eight times the number.
Answer: n = 3 or 5
n^2+15=8n
Or,
n2 - 8n + 15 = 0
(n - 3)(n - 5) = 0
So n is 3 or 5.
1 is 25% of what number
Answer:
4
Step-by-step explanation:
because 25% times 4 makes 100 so it is 4
Evaluate 9/12 × 6/9 Give your answer in its simplest form.
Answer:
1/2
Step-by-step explanation:
reduce 12 with 6 and 9 with 9 and your equation is now 1/2 x 1/1
you now multiply ur franction, which gives you 1/2
hope this helped :)
A certain shade of paint is made by mixing 8 parts blue paint with 3 parts
white
paint. To get the correct shade, how many quarts of white paint should be mixed
with 64 quarts of blue paint?
Answer:
15 quarts
Step-by-step explanation:
Which is the definition of a ray
all of the lines in which light and heat may stream through from the sun or any luminous body, or pass through small openings.
Step-by-step explanation:
Answer:
Ray: Any of a set of straight lines passing through one point. Each of the lines in which light (and heat) may seem to stream from the sun or any luminous body, or pass through a small opening.
(I'm so sorry if this is wrong)
Hope this Helps!
What is the speed of a cheetah that travels 116 m in 3.0seconds
Answer:
38.6666666667
Step-by-step explanation:
speed = distance/time.
Time: 3.0
Distance: 116 miles.
116/3.0 = 38.6666666667.
Can someone solve all these answers for this polynomials worksheet?
Answer:
2. 4
3. 5
4. 8
5. 9
6. 1
7. 6
8. 5
9. 7
10. 2
Step-by-step explanation:
Count the number of terms for each. Alternately, count the number of "+" and "-", and add 1.
Without multiplying, is 4 × 0.36 less
than or greater than 4? Explain its for my little sis oof
Answer:
Less
Step-by-step explanation:
Think of it like this:
Four times of 0.36
0.36 + 0.36 + 0.36 + 0.36 = 1.44
So 4 × 0.36 is less than 4
Hope I helped your little sista :)
In Tallahassee, Florida, CR 373 intersects non-parallel streets CR 363 and Monroe Street. Which locations/structures represent consecutive (same side) interior angles? Select all that apply.
Fast Food 2 and the Park
the Lake and the Post Office
the Apartments and Fast Food 1
Fast Food 2 and the Grocery Store
the Apartments and the Post Office
the Big Box Store and the Grocery Store
Answer:
Option (3)
Step-by-step explanation:
Option (1)
Fast food 2 and the Park → Consecutive exterior angles
Option (2)
The lake and the Post office→ Consecutive exterior angles
Option (3)
The Apartments and Fast food 1 → Consecutive interior angles
Option (4)
Fast food 2 and the Grocery store → Linear pair of angles
Option (5)
The Apartments and the Post office → Linear pair of angles
Option (6)
The Big Box Store and the Grocery Store → Consecutive interior angles
Therefore, Option (3) and Option (6) will be the correct options.
I NEED THE ANSWER NOW
Answer:
The last one
Step-by-step explanation:
68/5 - 22/5 = 46/5 = 9 1/5
Answer:
Option d
Explanation:
[tex]\frac{68}{5} - \frac{22}{5} = \frac{46}{5}[/tex]
46/5 in mixed fraction is [tex]9\frac{1}{5}[/tex]
What is the equation of a line passing through the point (-4, 8) that is parallel to the line y = 2x + 6
Answer:
y = 2x + 16
Step-by-step explanation:
slope is parallel and equal to y = 2x + 6
y intercept = 16
Answer:
b - y=2x+16
Step-by-step explanation:
y=y1+m(x+x1)
(-4,8)
y=8+2(x-4)
y=8+2x-8
add 8 on both sides
y=2x+16
uhh yeahh don't know lol ...
Answer:
for first blank its 1/3 and second blank is 5
Step-by-step explanation:
Answer:
y=-1/3x+5
Step-by-step explanation:
BRAINLIEST PLS
bye cus im so bad at math smh.
on top it says:
“The graph shows the amount two cleaning companies are charged based on the number of hours it takes them to clean.”
SOMEONE HELP PLS
The answer is the third one. Trust me. I don't feel like explaining.
Step-by-step explanation:
8x-4y= -56 put in
slope-intercept form
Answer: x=2x +14
Step-by-step explanation:
1) subtract 8x from both sides: -4x= -8x -56
2) divide both sides by -4: x=2x +14
Twelve large bottles of water cost $9.How many bottles can you buy for $3?
Answer: 4 large bottles of water for $3.
Step-by-step explanation: To find how many large water bottles you can buy with $3, you’ll have to divide 12 by 3 which equals to 4. You can check your answer by multiplying 4 x 3 which equals to 12, which is the original amount of large water bottles you can buy for $9.