By setting up a system of equations and solving for the number of bicycles (B) and tricycles (T) based on the total seats and wheels, we can determine there are 27 bicycles and 5 tricycles.
To determine the number of bicycles and tricycles in the bicycle store given that there are 32 seats and 69 wheels, we can set up a system of equations. Let's let B represent the number of bicycles and T represent the number of tricycles. Since bicycles have 2 wheels and tricycles have 3 wheels, we can express the total number of wheels as:
2B + 3T = 69
Each bicycle and tricycle has one seat, so we can also express the total number of seats as:
B + T = 32
To solve this system, we can multiply the second equation by 2 and subtract it from the first equation to eliminate B:
(2B + 3T) - (2(B + T)) = 69 - 64
2B + 3T - 2B - 2T = 69 - 64
T = 5
Now we substitute T into the second equation:
B + 5 = 32
B = 32 - 5
B = 27
So, there are 27 bicycles and 5 tricycles in the bicycle store.
2. Your Turn: How many elements are in the sample space for spinning a spinner labeled A, B, C, D? *
1 point
1
4
8
16
Plz help fast will mark brainiest
Determine whether each ordered pair is a solution of y= 2x-4
(3,2)
Yes or No?
Factor the expression completely over the complex numbers.
y^4+12y^2+36
Answer:
the answer given is not in complex form using i variable
Step-by-step explanation:
Multiply. (−23)⋅(−4) A. −92 B.−27 C.27 D.92
What is the vertex of the absolute value function below?
(4, –1)
(1, –4)
(1, 4)
(4, 1)
Answer:
(4,1) D
Step-by-step explanation:
i got it right on edge
A town's population has been growing linearly. In 2003, the population was 25000, and the population has been growing by 1200 people each year.Write an equation for the population
x
years after 2003.
Which rectangle is an enlargement of a 5 by 6 rectangle
Which rectangle is an enlargement of a 5 by 6 rectangle? B. 15 by 18
2(x + 7) + 3x = 12
What is the first step in solving this equation for x?
A cylindrical can is to have volume 1500 cubic centimeters. determine the radius and the height which will minimize the amount of material to be used. note that the surface area of a closed cylinder is s=2rh+2r2 and the volume of a cylindrical can is v=r2h.
∠A and ∠B are vertical angles with m∠A=x and m∠B=5x−80 .
What is m∠A ?
A ball is thrown upward into the air so that its height, h, in feet, after t seconds is modeled by the function h(t) = 56t – 16t2. What is the velocity, in feet per second, of the ball after 2 seconds?
-32
-8
24
48
Answer:
A
Step-by-step explanation:
-32
Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
Velocity = Height / Time
The velocity, in feet per second, of the ball after 2 seconds is 24.
Option C is the correct answer.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
h(t) = 56t - 16t²
h(t) is the height after t seconds.
Now,
Velocity = Height / Time
At t = 2,
h(2):
= 56 x 2 - 16 x 4
= 112 - 64
= 48
Now,
Velocity = 48 / 2
Velocity = 24
Thus,
The velocity, in feet per second, of the ball after 2 seconds is 24.
Option C is the correct answer.
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If you were a lender, why would employment history or credit reports be important to you?
If I were a lender, the borrower's credit report will be important for me. The credit report should be positive and accurate if a person wants to borrow money from me. Good credit reports generate good credit scores and the higher the credit score, the lower the risk to me or the lender.
Similarly, employment history is a measure to check before lending money. This is because if a person has a good history and is working with good firms and on a regular basis, this develops trust that he will work properly pay off the debt. If a person is not responsible at work place and changes his jobs and cities frequently, then it is not sure if he can pay off the debt.
Banks also check these two things before lending any money. These information about a borrower develops trust among the lenders.
Employment history and credit reports gives an insight of an individual's past financial credibility, hence, they are useful in making a decision on whether to lend such individual and the amount that should be lent.
Employment history gives an account about whether a person is presently employed or not, and it also gives an insight about duration of stay with previous employers. Credit history gives an account into past financial details, the promptness exercised in repayment and if there are any pending debts.Therefore, these information are necessary for adequate decision making about the financial capability and integrity of the borrower.
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What is the remainder when the following polynomial division is performed? Place the answer in the proper location on the grid. Do not include parentheses in your answer.
(y4 – y3 + 2y2 + y – 1) ÷ (y3 + 1)
the remainder of this long division is 2y^2
When a population grows according to the logistic model, what is the value of the instantaneous population growth rate (dn/dt) when the population is stable?
a. dn/dt = 0
b. dn/dt = n
c. dn/dt = r
d. dn/dt = k?
Answer:
d
Step-by-step explanation:
A right triangle has a hypotenuse of 13 cm and one leg that measures 12 cm. what is the length of the other leg?
The answer is 22.62
Hope this helps :)
The length of the other leg is 5 cm.
To find the length of the other leg of the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's denote the length of the other leg as ( x ) cm.
According to the Pythagorean theorem:
[tex]\[ \text{hypotenuse}^2 = \text{leg}_1^2 + \text{leg}_2^2 \][/tex]
Given that the hypotenuse ( c ) is 13 cm, and one leg ( a ) is 12 cm:
[tex]\[ 13^2 = 12^2 + x^2 \][/tex]
[tex]\[ 169 = 144 + x^2 \][/tex]
Now, subtract 144 from both sides:
[tex]\[ x^2 = 169 - 144 \][/tex]
[tex]\[ x^2 = 25 \][/tex]
Taking the square root of both sides:
[tex]\[ x = \sqrt{25} \][/tex]
[tex]\[ x = 5 \][/tex]
Therefore, the length of the other leg is 5 cm.
Two angles of a triangle have a sum of 110. the sum of all three angles is 180 .what is the measure of the third angle
WILL GIVE A BRAINLIEST SHOW ALL WORK PLEASE!!
A function is graphed on the coordinate plane.
What is the value of the function when x = -4?
look to see where the line is in the y direction at x=-4
it crosses at y=-3
so the value would be -3
Monica has saved $735 for a new guitar and lessons. her guitar costs $475, and guitar lessons are $25 per hour. determine how many hours of lessons she can afford.
The vertex of this parabola is at (-4, -1). When the y-value is 0, the x-value is 2. What is the coefficient of the squared term in the parabola's equation?
A. -3
B. 3
C. -6
D. 6
Answer:
the coefficient of the squared term for this parabola is 6
Step-by-step explanation:
What evidence does the narrator offer for believing in a past life as a bat?
The narrator's evidence of a past life as a bat can be derived from their understanding of the bat's way of navigating through darkness similar to their pre-literate life, mirroring a bat's perception of the world through sound reflections, and also a subtle hint on a shared evolutionary past with bats.
Explanation:The narrator of the story hints at the possibility of having a past life as a bat based on their keen sense of understanding and relating to the fundamental traits of a bat. First, the narrator draws parallels between their pre-literate life and a ship lost in the fog, similar to how bats navigate their way in the dark through echolocation, as the figures 17.6 and 14.8 depict. The echoes, in this context, could symbolize the intangible voices of the past, reiterating their bat-like existence.
Secondly, the narrator's reflections on shadows as distorted versions of reality, as narrated in the allegory of the cave, mirrors the bat's perception of the world through sound, making physical visibility a misleading representation. This is also closely connected to the narrator referring to a transcendence that momentarily allows them to live outside social norms, just like bats that occupy the night skies primarily, a time generally regarded as quiet and uninhabited by humans.
Lastly, the narrator’s mention of homologous bat and bird wings as an evidence of common evolutionary past (Figure 20.7) might indicate the belief in being part of the same evolutionary lineage. These instances collectively form the narrator's evidence for the belief in a past life as a bat.
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Step 3: Solving real-world problems that involve markups
a) A local shoe store buys shoes at a wholesale price and then marks them up 80% to calculate the retail price. The wholesale price varies, depending on the quantity of shoes purchased. (2 points)
This is the table
Quantity 0-20 pairs 21-40 pairs 41-60 pairs 61-80 pairs 81 or more pairs
Wholesale Price (per pair) $25.00 each $23.00 each $21.00 each $19.00 each $17.00 each
Write an equation that could be used to find the retail price for each range. How do you know the equation will work consistently for each range? (2 points)
since all the shoes get marked up by 80%
the equation for all of them would be :
y = new price
x = wholesale price
y = 1.8x
..........
the x value??
How to find the number of sublevels in a principal energy level?
The length of a rectangle is 3 yd less than twice the width, and the area of the rectangle is 65yd . find the dimensions of the rectangle.
Find the length of the hypotenuse:
to find the hypotenuse on the given triangle
divide the given height ( 3sqrt(2) ) by the sin of the given angle (45)
3sqrt(2) / sin 45 = 6
answer is B. 6
a contractor finds that 6 gallons of paint will cover 750sq ft of wall area.how much wall area could be covered with 18 gallons of paint
ANSWER ASAP 30 POINTS GIVEN
△MNP≅△QST
.
What is
m∠S
?
Enter your answer in the box.
Answer:- m∠S=78°.
Explanation:-
Given:- Two congruent triangles ΔMNP and ΔQST which are congruent, where m∠M=66° and m∠N=78°.
⇒The corresponding parts of ΔMNP are congruent to the ΔQST .
Therefore, all the corresponding sides of ΔMNP are congruent to the ΔQST and all the corresponding angles of ΔMNP are congruent to the ΔQST such that
MN=QS , NP=ST and MP=QT.
m∠M=m∠Q, m∠P= m∠T and m∠N=m∠S.
Substitute the value of m∠N=78°, we get
m∠S=78°.
An internet service provider is implementing a new program based on the number of connected devices in each household. Currently, customers are charged a flat rate of $175 per month. The new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network. Find and graph the number of devices, x, for which the cost of the new plan is less than the current plan.
The current rate is simply equal to $175 per month, let us call this as rate A:
A = 175
The new rate is $94 plus $4.50 per devices, let us call this as rate B:
B = 94 + 4.50 x
where x is the number of devices connected to the network
The inequality equation for us to find x which the new plan is less than current plan is:
94 + 4.50 x < 175
Solving for x:
4.50 x < 81
x < 18
So the number of devices must be less than 18.
- From the graph, we can actually see that the new rate intersects the current rate at number of devices equal to 18. So it should really be below 18 devices.
The number of devices connected should be less than 18 (1 to 17 devices) so that the new charges will be less than the old charge.
Given:
The old monthly charge for internet service per household is $175.
The new charges include a fixed pay of $94 plus $4.50 per connected device.
Let x be the number of connected devices.
So, the new charges can be written mathematically as,
[tex]C=94+4.5x[/tex]
Now, the new charge should be less than the old charge. This condition can be written as,
[tex]C=94+4.5x<175\\4.5x<81\\x<18[/tex]
So, the number of devices connected should be less than 18 (1 to 17 devices) so that the new charges will be less than the old charge.
See the attached graph.
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1)
The distance traveled in a car varies directly as the amount of gasoline used. If a car travels 520 miles and uses 26 gallons of gas, find the constant of variation or miles per gallon.
A)
18 mpg
B)
20 mpg
C)
22 mpg
D)
24 mpg
Which expression gives the volume of a sphere with radius 17?
Answer:
[tex]\frac{4}{3} \pi r^{3}[/tex]
r =17
Step-by-step explanation:
Given : radius of sphere is 17
To Find : the volume of Sphere
Solution :
Volume of Sphere : [tex]\frac{4}{3} \pi r^{3}[/tex]
We are given that radius 'r' of sphere is 17
So, volume of sphere of radius 17 :
[tex]\frac{4}{3} \pi 17^{3}[/tex]
⇒ [tex]6550.6\pi[/tex]
put value of [tex]\pi[/tex] = 3.14
⇒6550.6 ×3.14
⇒20568.88
Thus , The volume of sphere is 20568.88 [tex]unit^{3}[/tex]