Answer:
There 68 bicycles , 33 tricycles and 17 Tandem bicycles
Step-by-step explanation:
Let B be the no. bicycles , TB be the no. of tandem bicycles and C be the no. of tricycles
No. of seats in 1 bicycle = 1
No. of seats in B bicycle = B
No. of seats in 1 Tandem bicycle = 2
No. of seats in TB Tandem bicycle = 2TB
No. of seats in 1 Tricycle = 1
No. of seats in C Tricycle = C
We are given that There are a total of 135 seats
So, B+2TB+C=135 ----1
Similarly
There are total 118 front handlers
So,1B + 1TB + 1C = 118 ----2
There are total 269 wheels
So,2B + 2TB + 3TR = 269
Substract 1 from 2
B+2TB+C-B-TB-C=135-118
TB=17
Adding 1 and 2 and substracting from 3
[2 - (1+1)]B + [2- (2+1)]TB + [3- (1+1)]C = 269-253
- 1x17 +C= 16
C= 16 + 17 = 33
Replacing in eq. 32
1B + 17 + 33 = 118
B = 118 - 17 - 33 = 68
Hence There 68 bicycles , 33 tricycles and 17 Tandem bicycles
Add three cube numbers.
Answer:
, two mathematicians, Andrew Sutherland of MIT and Andrew Booker of Bristol, have jointly proven that 42 is indeed the sum of three cubes. For years, mathematicians have worked to demonstrate that x3+y3+z3 = k, where k is defined as the numbers from
A sold an article to B at a gain of 10% ,B sold it to C at a gain of 20% .If C paid Rs.2,640 for it,what did it cost A?
Help me with this question please
Answer:
$2,000
Step-by-step explanation:
Since B sold the article to C at a gain of 20%, 2,640 must be 120% or 1.2 times the price that B paid.
To find the price that B paid, we just need to divide 2,640 by 1.2, as the original price multiplied by 1.2 = a 20% increase.
2,640/1.2= 2,200
The price B paid for it must have been 2,200.
Now we know that 2,200 was the price sold by A to gain 10%, therefore it is 110% or 1.1 times the original price A paid for it. Therefore, once again to find the original price, we just need to divide it by 1.1:
2,200/1.1 = 2,000
The original price it cost A was $2,000.
Hope this helped!
PLEASE HELP ME WITH THIS QUESTION
Answer:
x = 2√58
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs and c is the hypotenuse of a right triangle)
Find the height of the triangle by using the base and hypotenuse of the smaller interior triangle and Pythagoras' Theorem:
a² + b² = c²
⇒ a² + 6² = (6√2)²
⇒ a² = (6√2)² - 6²
⇒ a² = 36
⇒ a = 6
Now we have the base and height of the larger interior triangle, we can calculate x:
a² + b² = c²
⇒ 6² + 14² = x²
⇒ x² = 232
⇒ x = √232
⇒ x = 2√58
[tex]\\ \rm\Rrightarrow \dfrac{6\sqrt{2}}{6}=\dfrac{x}{14}[/tex]
[tex]\\ \rm\Rrightarrow 6x=84\sqrt{2}[/tex]
[tex]\\ \rm\Rrightarrow x=14\sqrt{2}[/tex]
DoneWhat is the greatest common factor of 96 and 72
First, do the prime factorization.
96 = 2 x 2 x 2 x 2 x 2 x 3
72 = 2 x 2 x 2 x 3 x 3
The GCF is the product of their shared factors.
They share 2, 2, 2, and 3.
2 x 2 x 2 x 3 = 24.
Their GCF is 24.
The greatest common factor of the given numbers 96 and 72 will be equal to 24.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given number for GCF in the question,
Firstly, factorize the given numbers,
96 = 2 x 2 x 2 x 2 x 2 x 3
72 = 2 x 2 x 2 x 3 x 3
The result of their shared factors is the GCF.
2 x 2 x 2 x 3 = 24.
Therefore, the GCF is 24.
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Find f(4) when f(x) = 3x + 7
Answer:
I made a mistake I was trying to say something else
Explanation:
What is the factorization of 216x12 – 64? (6x3 – 4)(36x6 24x3 16) (6x3 – 4)(36x9 24x3 16) (6x4 – 4)(36x8 24x4 16) (6x4 – 4)(36x12 24x4 16)
The solution to the given expression is (6x^4-40)(36x^8+48x^4+16)
What will be the equation?We have the following expression
[tex]=216x^{12}-64[/tex]
we can also write it as
[tex]=(6x^4)^3-(4)^3[/tex]
Now from the formula
[tex]a^3-b^3=(a-b)(a^2+b^2+2ab)[/tex]
[tex](6x^3)-(4)^3=(6x^4-4)((6x^4)^2+(4)^2+(2\times 6x^4\times 4)[/tex]
[tex](6x^3)-(4)^3=(6x^4-4)((6x^8+16+(48x^4))[/tex]
[tex](6x^3)-(4)^3=(6x^4-4)(6x^8+48x^4+16)[/tex]
Thus the solution to the given expression will be
[tex](6x^4-40)(36x^8+48x^4+16)[/tex]
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I'm not sure if I'm right or wrong can someone explain to me what the correct answer is asap?
Answer:
4
Step-by-step explanation:
I know this because if you try multiply each number there by 45 you would need to get the total of 180, but if you multiply 45 times 4 you may get 180. The answer you chose is wrong because it doesn't get to 180 with any number you try multiplying with that number you chose.
What is the measure of an exterior angle of an equilateral triangle?
Answer:
120
Step-by-step explanation:
An equilateral triangle has 3 sides. The exterior angle = 360 / 3 = 120
A square has 4 sides. Each exterior angle = 360 / 4 = 90
A regular n gon has n sides. The exterior angles will be 360/n
You roll a six-sided number cube and flip a coin. What is the probability of rolling a number less than 2 and flipping heads? Write your answer as a fraction in simplest form.
Answer:
There are 6 sides to this cube.
There are two sides to this coin.
To roll a number less than two, you can only roll a 1.
So there is a 1/6 chance of getting a 1.
To get heads on a coin, there is only a 1/2 chance.
If you wanted to get both these desired outcomes, the chance of getting these are;
1/6 x 1/2
= 1/12 is the probability.
Question 6 of 10
The diagonal of a TV is 26 inches long. Assuming that this diagonal forms a
pair of 30-60-90 right triangles, what are the exact length and width of the TV?
A. 13/2 inches by 13/2 inches
B. 52 inches by 5213 inches
C. 13 inches by 13/5
D. 5212 inches by 52/2 inches
SUBMIT
Which expression is equivalent to −10.75(20x+15.2)?
Answer:
See below.
Step-by-step explanation:
-10.75(20x+15.2)
-215x-163.4
-hope it helps
The equivalent expression is,
⇒ - 215x - 163.4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ - 10.75 (20x + 15.2)
Now, We can simplify as;
⇒ - 10.75 (20x + 15.2)
⇒ - 10.75 × 20x - 10.75 × 15.2
⇒ - 215x - 163.4
Thus, The expression is equivalent to - 215x - 163.4.
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help me please? can you please?
Answer:
C, $40
Step-by-step explanation:
Based on the pattern shown here, the employee is gaining $10 for every hour they spend working. This means that if the employee works for 4 hours, they get 4*10=$40.
As the worker gets $10 per hour
Step-by-step explanation:
For 4 hours
$10 x 4 = $40
so for working four hours the worker will get $40
Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn. After filling up 6 bags that were the same size with the mixture, she had 0.35 lb left. What was the weight of each bag cant figur it out 5th grade math
Answer:
1.675 lb
Step-by-step explanation:
Given that Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn.
So, after mixing, the total amount of mixture is
6.83 lb + 3.57 lb = 10.40 lb.
After filling up 6 bags that were the same size with the mixture, she had 0.35 lb left, so 0.35 lb of the mixture is not in the bag.
So,he total amount of mixture in 6 bags = 10.40 lb - 0.35 lb=10.05 lb, which is the weight of 6 bags.
The weight of one bag =\frac {10.05}{6} lb
=1.675 lb
As all the bags are of the same size, so the weight of all the bags are same,
Hence, the weight of each bag is 1.675 lb.
100 POINTS!!!
If you have a line parallel to the line given by the equation
what would be the slope of the parallel line?
EXPLAIN
Answer:
A.
Step-by-step explanation:
The slope of the line parallel to the original line is the same. And you don't add x after the slope.
9. Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to find out how many hours, h, they rented the boat if the total cost was $33. Solve.
h =
Just give the answer, no h =
Answer:
9 hours
Step-by-step explanation:
What is 25637 to 1 significant figure
Answer:
30000
Step-by-step explanation:
Currently there are 5 significant figures. Since there is a 5 after the 2, it would round it up to a 3. Zeros aren't considered significant figures unless there is a period. Therefore, 30000 is the answer. 3 is the 1 significant figure with four insignificant zeros.
Answer:
30000
Step-by-step explanation:
Remember non-zero numbers are significant.
Zero between non zero numbers are significant.
So 25637 to 1 significant figure is rounding it off to the nearest ten thousand in a simple way.
So 25637 to 1 significant figure simply becomes 30000.
HOPE IT HELPED.
ENJOY THE REST OF YOUR DAY OR NIGHT
What decimal goes in the empty box on the grid? Enter your answer in the box.
Answer:nAvsghahsgdg
Step-by-step explanation:
Wilma works at a bird sanctuary and stores bird seed in plastic containers. She has 5 small containers that holds 8 pounds of bird seed each and 6 large containers that hold 12 pounds of bird seed each. Each container was full until she used 4 pounds of bird seed. She wants to put some of the remaining bordered into 26 bird feeders that can hold 2 pounds each. How much birdseed does she have left over? Show the expression you used to find your answer.
Answer: 56lb
Step-by-step explanation:
Wilma has:
5 small containers that hold 8 lb each: Here we have a total of 5*8lb = 40 lb
6 large containers that hold 12 lb each: Here we have a total of 6*12lb = 72 lb
There is a total of 40lb + 72lb = 112 lb.
Now we know that she uses 4 lb, so now she has:
112lb - 4lb = 108lb.
Now she wants to fill 26 bird feeders, that can hold 2 lb each.
So she needs 26*2lb = 52lb
The amount of bird seeds that she has left is:
108lb - 52lb = 56lb
What is log subscript 6 baseline e superscript f rewritten using the power property? e log subscript 6 baseline f f log subscript 6 baseline e log subscript 6 baseline (e times f) log subscript 6 baseline (e f)
The value of the given expression will be [tex]\rm (f\ Log_6\ e)[/tex]
What will be the value of the given expression in the question?It is given in the question that
log subscript 6 baseline e superscript f
When we convert it into the mathematical form we get
[tex]\rm=Log_6\ e^f[/tex]
Now from logarithmic property
[tex]\rm Log_a\ u^n=n\ Log_a\ u[/tex]
By using this property the expression will become
[tex]\rm Log_6\ e^f= f\ Log_a\ u[/tex]
Thus the value of the given expression will be [tex]\rm Log_6\ e^f= f\ Log_a\ u[/tex]
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Answer:
flog6e
Step-by-step explanation:
promise it's correct
Annabelle went to the store to buy some apples. The price per pound of the apples is $3.75 per pound and she has a coupon for $3.25 off the final amount. With the coupon, how much would Annabelle have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy pp pounds of apples, assuming at least one pound is purchased.
Answer:
final cost of 3 pounds: 8 dollars
final cost of p pounds: 3.75p - 3.25 dollars
Step-by-step explanation:
Smallest to largest: 15/25 16/30 9/27
Answer:
Smallest: 9/27
Second: 16/30
Largest: 15/25
Step-by-step explanation:
15/25= 0.6
16/30= 0.53
9/27= 0.33
Easiest way to do this is to do this is to make them have the same digits.
0.60 or 0.6
0.53 or 0.5
0.33 or 0.3
now, you just find the order of these smallest to largest...
3, 5, 6
0.33, 0.53, 0.60
0.3, 0.5, 0.6
9/27, 16/30, 15/25
Hope this helps, Brainliest is appreciated :)
Have a Great day! cx
~Mitsuna
what is2(12-w)=-2(w-17)-10
Answer:
17=w
Step-by-step explanation:
decompose the brackets
24-2w=2w-34-10
collect like terms
24+34+10=2w+2w
68=4w
divide by 4
17=w
You place $325 in a savings account. You earn $19. 50 in interest at a rate of 3%. How long did this take?
Answer:
397
Step-by-step explanation: you placed 325 already and earned 19 you add 325 19 50 3 you get your final product which is 397 which is what you will earn or get out of your savings
Which of the following are remote interior angles of 6? Check all that apply.
Answer:
esla de f b
Step-by-step explanation:
1.A rectangular prism has a volume of 1080 cubic cm. Its dimensions are 5 cm, (x + 12) cm, and (x + 6) cm. What is the value of x?
Answer:
x = 6 cm
Step-by-step explanation:
Volume of a rectangular prism = length × width × height
Length = 5 cm
Width = (x + 12) cm
Height = (x + 6) cm
Volume of a rectangular prism = 1,080 cubic centimeter
Volume of a rectangular prism = length × width × height
1080 = 5 * (x+12) * (x+6)
1080 = 5 (x^2 + 6x + 12x + 72
1080 = 5 (x^2 + 18x + 72)
1080 = 5x^2 + 90x + 360
Divide through by 5
216 = x^2 + 18x + 72
Subtract 216 from both sides
x^2 + 18x + 72 - 216= 0
x^2 + 18x - 144 = 0
Using factorization method to solve the quadratic equation
x^2 + 24x - 6x - 144 = 0
x( x+ 24) - 6 ( x + 24) = 0
(x + 24) (x - 6) = 0
x + 24 = 0
x = -24
x - 6 = 0
x = 6
x = -24 or 6
x can not be a negative value , so, x = 6 cm
At a movie theater, the size of popcorn bags decreased by 20%. Id the old bags held 15 cups of popcorn , How much do the new bags hold?
Answer:
25
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
i need the answer asap lol..
Answer:
144
Step-by-step explanation:
sense you have the line in the triangle you would add that to the 16 (length) and multiply that by the 6 (hight) and that would be the area (144)
What is the answer to this? I will give 30 points and brainllest to the first person to answer correctly.
Answer:
15. 60% of 25 is 15.
Half a number plus 5 is 11.What is the number?
Let x be the number
[tex]\small\bold\red{→}\small\bold{(\frac{1}{2} )x + 5 = 11}[/tex]
[tex]\small\bold\red{→}\small\bold{(\frac{1}{2})x + 5 - 5 = 11 - 5}[/tex]
[tex]\small\bold\red{→}\small\bold{(\frac{1}{2})x = 6}[/tex]
[tex]\small\bold\red{→}\small\bold{2 × (\frac{1}{2})x = 6 × 2 }[/tex]
[tex]\small\bold\red{→}\small\bold{x = 12}[/tex]
Hello.
First, "half a number" means we divide that number by 2.
Let's say the number is z.
Divide z by 2:
[tex]\displaystyle\frac{z}{2}[/tex]
Add 5 to it:
[tex]\displaystyle\frac{z}{2} +5[/tex]
Now, this expression equals 11:
[tex]\displaystyle\frac{z}{2} +5=11[/tex]
Subtract 5 from both sides:
[tex]\displaystyle\frac{z}{2} =11-5[/tex]
[tex]\displaystyle\frac{z}{2} =6[/tex]
Now, in order to get rid of the fraction, we should multiply the entire equation by 2:
[tex]\displaystyle\frac{z}{2} *2=6*2[/tex]
[tex]z=6*2[/tex]
[tex]\Large\boxed{z=12}[/tex]
I hope it helps.
Have an outstanding day. :)
[tex]\boxed{imperturbability}[/tex]
Please answer and I Will give you Brainliest
Answers:
x = 10
y = 61
===================================================
Explanation:
The two angles at the bottom add to 180, since they form a straight angle.
y+119 = 180
y = 180-119
y = 61
The angle (5x+11) and angle y = 61 are corresponding angles. They are congruent because of the parallel lines
5x+11 = y
5x+11 = 61
5x = 61-11
5x = 50
x = 50/5
x = 10
Note that
5x+11 = 5*10+11 = 50+11 = 61
which matches with y = 61, so that helps confirm the right x value.
Answer:
Y=61
X=10
Step-by-step explanation:
180-119=61=y
61=5x+11
50=5x
x=10