The owner of a bike shop sells unicycle and bicycles and keeps inventory by counting seats and wheels. One day she counts 20 seats and 28 wheels. The equation representing the total number of seats is u+b=20 where u is the number of unicycles and b is the number of bicycles. Select the equation representing the number of wheels.
Answers
A bicycle has 2 wheels. b bicycles have 2b wheels.
In u unicycles and b bicycles, there are a total of
u + 2b wheels.
We are told there are 28 wheels, so u + 2b must equal 28.
The answer is choice C. u + 2b = 28
The equation u+2b=28 represents the number of wheels, which is correct option(C).
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
The owner of a bike shop sells unicycles and bicycles and keeps inventory by counting seats and wheels. One day, she counts 20 seats and 28 wheels.
u is the number of unicycles and b is the number of bicycles.
There are total 20 seats
⇒ u+b=20
unicycle has 1 wheel and bicycle has 2 and total there are 28 wheels
⇒ u+2b=28
Hence, this equation represents the number of wheels.
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Related Questions
the sum of two numbers is 40. the sum of the smaller and 5 times the larger is 144. find the numbers.
Answers
y= larger number
EQUATION 1:
the sum of two numbers is 40
x + y= 40
EQUATION 2:
the sum of the first number and 5 times the second is 144
x + 5y= 144
STEP 1:
Solve for one variable in equation 1.
x + y= 40
subtract y from both sides
x= 40-y
STEP 2:
Substitute x=40-y in equation 2.
x + 5y= 144
(40-y) + 5y= 144
combine like terms
40 + 4y = 144
subtract 40 from both sides
4y= 104
divide both sides by 4
y= 26 larger number
STEP 3:
Substitute y=26 in either equation to solve for x (smaller number).
x + 5y= 144
x + 5(26)= 144
x + 130= 144
x= 14 smaller number
CHECK:
14 + 26= 40
40= 40
ANSWER: The smaller number is 14 and the larger number is 26.
Hope this helps! :)
To find the two numbers, we can solve a system of equations. The smaller number is 14 and the larger number is 26.
Explanation:To find the two numbers, we can solve a system of equations based on the given information. Let's represent the smaller number as x and the larger number as y.
From the first equation, we have x + y = 40.From the second equation, we have x + 5y = 144.We can solve this system using substitution or elimination. Let's use substitution:
From the first equation, solve for x: x = 40 - y.Substitute this value of x into the second equation: (40 - y) + 5y = 144.Simplify the equation: 40 + 4y = 144.Subtract 40 from both sides: 4y = 104.Divide both sides by 4: y = 26.Substitute this value of y back into the first equation to find x: x + 26 = 40. Subtract 26 from both sides: x = 14.Therefore, the smaller number is 14 and the larger number is 26.
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Explain which type of graph would best, display the data showing the temperature of a liquid being heated in a science experiment?
Answers
PLEASE ANSWER!! 16 POINTS!
A rectangle has a base of 2.3 cm and a height of 4.5 cm. Use the formula for the area of a rectangle, A=bh , to determine the area.
Let b = 2.3 and h = 4.5.
What numbers complete the equation?
A = ? ⋅ ?
Please help and please explain details!!
Answers
This is because b = 2.3 and h = 4.5 are the base and height respectively
So the equation would be A = 2.3*4.5
Edit: Multiply the numbers and we get the area to be A = 10.35
in a study, the data you collect is age and year what is the level of measurement?
Answers
What is the missing length+ Work?
Answers
at least thats what i think
Find the area of the quadrilateral below. Hint, try dividing it up into two triangles.
Answers
What is the area of this triangle in the coordinate plane? 25.0 units²
27.5 units²
50.0 units²
55.0 units²
Answers
using the formula
The base is 10 and the height is 5
the base is 11 (I think I make no mistake), and the height is 5.
You get a $5,000 180-day 11% consumer loan on May 18. You make a $2,000 payment on July 18. Calculate the balance you still owe after the payment. Assume a 365-day year.
Answers
5000 for 180 days at 11% will need an interest payment of
.. I = P*r*t = 5000*0.11*(180/365) = 271.23
In this scenario, it doesn't matter when you make the payment(s), the total amount due is 5271.23. After a 2000 payment, you will still owe 3271.23.
_____
On the other hand, if your loan agreement says payments reduce the outstanding principal amout, then you can look at it this way.
Consider the interest due on day 61. That is
.. I = P*r*t = 5000*0.11*61/365 = 91.92
If that is paid first, then the outstanding principal after your 2000 payment is
.. 5000 +91.92 -2000 = 3091.92
You will be paying 11% for 119 days on that amount, so at maturity you will owe
.. 3091.92*(1 +0.11*119/365) = 3202.81
If triangle ABC is a triangle with m∠C = 90°, which of the following must be true about angles A and B?
Answers
If triangle ABC is a right triangle with ∠C = 90°, then angles A and B must be complementary.
Explanation:If triangle ABC is a right triangle with ∠C = 90°, then angles A and B must be complementary. This means that the sum of angles A and B will be equal to 90°. Therefore, the correct answer is option b.
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The true statement about angles A and B is that a. Angles A and B are complementary.
Which must be true about angles A and BSince triangle ABC is a right triangle with m∠C = 90°, we know that m∠A + m∠B = 90°.
This means that the sum of the measures of angles A and B is 90 degrees.
So, angles A and B are complementary angles.
In other words, if two angles are complementary, then the sum of their measures is equal to 90 degrees.
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Question
if aabc is a triangle with mlc = 90, which of the following must be true about angles a and b?
Angles A and B are complementary.
Angle B is greater than angle A.
Angles A and B are supplementary
Angle A is greater than angle B.
what's the lateral area of the square pyramid 8m 8m 22 m
Answers
The formula for finding the lateral area of any square base pyramid is:
[tex] A=a\sqrt{a^2+4h^2} [/tex]
Where "a" is the base edge or the edge of the square and "h" is the height of the pyramid.
In our case, "a"=8 meters and "h"=22 meters
[tex] \therefore A=8\sqrt{8^2+4(22)^2} \approx357.77 [/tex] squared meters
Thus, the lateral area of the given square pyramid is 357.77 squared meters.
How many different outcomes are possible if you can choose between a bus or a train, full fare or concession and you can travel in the morning or the afternoon?
Answers
.. bus, full, morning
.. bus, full, afternoon
.. bus, concession, morning
.. bus, concession, afternoon
.. train, full, morning
.. train, full, afternoon
.. train, concession, morning
.. train, concession, afternoon
Applying the multiplication principle in probability, there are eight different combinations possible when choosing between bus or train, full fare or concession, morning or afternoon for your travel.
Explanation:Your question is asking how many different combinations of travel mode, fare type, and time of day are possible under given conditions. For this situation, we can apply simple probability rules with concept of multiplication principle, which states that if there are n ways to do something, and m ways to do another, then there are n * m ways to do both.
In this case, you have two choices for each category: mode of transportation (bus or train), fare type (full fare or concession), and time of day (morning or afternoon). The combination is simply 2 (mode of transport) * 2 (fare type) * 2 (time of day) = 8. So, there are eight possible outcomes.
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If a person is born every 5 seconds and a person dies every 12 seconds, then how many seconds does it take for the population to grow by one person? Please explain as well.
Answers
It takes approximately 60/7 seconds for the population to grow by one person.
Explanation:To find out how many seconds it takes for the population to grow by one person, we need to determine the difference between the rate of births and the rate of deaths. The rate of population growth per second can be calculated by subtracting the rate of deaths per second from the rate of births per second. In this case, a person is born every 5 seconds and a person dies every 12 seconds. So, the rate of population growth per second is 1/5 - 1/12 = 12/60 - 5/60 = 7/60.
Therefore, it takes approximately 60/7 seconds for the population to grow by one person.
1. Marisol is preparing a care package to send to her brother. The package will include a board game that weighs 4 pounds and several snack packs that each weigh ½ lb. The total weight of the care package must be less than 25 pounds.
(A)Write an inequality to model the situation. Use x to stand for the number of snack packs she includes.
(b) Solve the inequality to find the maximum number of snack packs Marisol can include in the package.
(c) What is the maximum number of snack packs Marisol can include in the package? Give your answer in the form of a sentence.
Answers
The content of care package would be a board game and several snack packs.
Given is the weight of board game = 4 pounds.
The weight of one snack pack = [tex] \frac{1}{2} \;pounds = 0.5 \;pounds [/tex]
The total weight would be less than 25 pounds.
Solving for part A :
Let 'x' represents the number of snack packs.
So the weight of all snack packs would be 0.5x pounds.
Now weight of care pack = weight of board game + weight of all snack packs.
weight of care pack = 4 + 0.5x
But total weight must be less than 25 pounds.
So the inequality would be: 4 + 0.5x < 25
Solving for part B :
Solving the inequality 4 + 0.5x < 25
⇒ 4 + 0.5x - 4 < 25 - 4
⇒ 0.5x < 21
⇒ x < 42
Solving for part C :
Since x < 42 and x is an integer number, so x = 41.
She can include maximum of 41 snack packs in the care package.
May I please have help with 2-14 even on this ? I'm horrible at math.
Answers
4. y = 122, x = 42
6. x = 63, y = 8
8. is missing
10. 13.5 cm
12. x = 10.6
14. x = 5.45
Jerry will roll a number cube numbered 1-6 twice what is the probability of rolling an even number, then the number 3
Answers
Answer: ITS NOT 1/6, ITS 1/12
Step-by-step explanation:
I took the test :)
The graphic compares two basketball shoes.
After researching many different shoes, Chris narrows down his choice to these two. Which shoes are the best deal?
1 the Hyper-Dunks because they will last for two seasons
2 the Air Slammers because they are the best price
3 the Hyper-Dunks because his favorite pro player wears them
4 the Air Slammers because those are what his teammates chose
Answers
According to the information given to receive the best deal, he would choose the Air Slammers because the price is the cheapest, and even if the hyper dunks would last 2 seasons if the air slammers lasted 1 season each the total would be less than the Hyper Dunks.
Answer:
the answer is B
Step-by-step explanation:
Chord AC intersects chord BD at point P in circle Z.
AP=3.5 in.
DP=4 in.
PC=6 in.
What is BP?
Answers
2. You have that:
AP=3.5 in
PC=6 in
DP=4 in
3. Then, by applying the "Intersecting chord theorem", you have:
(AP)(PC)=(BP)(DP)
4. When you substitute the values into (AP)(PC)=(BP)(DP), you obtain:
(3.5 in)(6 in)/BP(4 in)
5. Now, you must clear BP. Then:
(3.5 in)(6 in)/4 in=BP
21 in^2/4 in=BP
6. Therefore, the value of BP is:
BP=5.25 in
Answer:
5.25
Step-by-step explanation:
True or false? if the sample mean of a random sample from an x distribution is relatively small, then the confidence interval for μ will be relatively short. g
Answers
The sample mean does not determine how wide the confidence interval would be. The sample mean determines the center of the confidence interval. The confidence level, standard deviation, and the sample size would determine the confidence interval width.
Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.
A cube-shaped box has an edge length of 4/5 meter.
What is the volume of the container?
Enter your answer, as a fraction in simplest form, in the box.
\________/
Answers
V=s³
s=4/5 m
2. When you substitute the value of "s" into the fomula for calculate the volume (V=s³), you obtain:
V=(4/5 m)³
V=4³/5³ m³
3. Then, the volume of the container is:
V=64/125 m³
Figure FGH has vertices located at F(1, 3), G(–1, 2), and H(2, 1). The figure is rotated using the origin as the center of rotation. The image has vertices located at F’(3, –1), G’(2, 1), and H’(1, –2). Which rotation could have taken place?
a 45° clockwise rotation
a 90° clockwise rotation
a 90° counterclockwise rotation
a 180° counterclockwise rotation
Answers
see the attached figure
the answer is the option
a 90° clockwise rotation
Answer: The correct option is
(B) a 90° clockwise rotation.
Step-by-step explanation: Given that the co-ordinates of the vertices of figure FGH are F(1, 3), G(–1, 2) and H(2, 1).
The figure FGH is rotated using origin as the center of rotation and the the co-ordinates of the vertices of image figure F'G'H' are F'(3, -1), G'(2, 1) and H'(1, -2).
We are to select the type of rotation that could have taken place.
The transformation from the vertices of FGH to the vertices of image F'G'H' is
F(1, 3) ⇒ F'(3, -1),
G(-1, 2) ⇒ G'(2, 1),
H(2, 1) ⇒ H'(-1, 2).
Therefore, the transformation rule is (x, y) ⇒ (y, -x). This gives the rotation about origin through an angle of 90°.
Thus, the rotation of 90° clockwise taken place from figure FGH to image F'G'H'.
Option (B) is correct.
A chef uses a recipe with the following ingredients. Then the chef decides to make more than 1 batch of the recipe. Fruit Cups Used Apples 3 Mangoes 1 Blueberries 2 Blackberries 1 If a total of 16 cups of apples and blackberries are used, how many batches of the recipe did the chef make? 2 batches 4 batches 6 batches 8 batches
Answers
Answer:
4 batches
Step-by-step explanation:
Let
x -----> the number of cups of apples
y -----> the number of cups of mangoes
z -----> the number of cups of Blueberries
w -----> the number of cups of Blackberries
we know that
x/y=3/1 -----> equation A
x/z=3/2 ----> equation B
x/w=3/1 ----> equation C
x+w=16 ----> equation D
Solve the system of equations C and D
x=3w ----> equation C
x+w=16 ----> equation D
Substitute equation C in equation d and solve for w
3w+w=16
4w=16
w=4 cups of Blackberries
Remember that
For 1 batch of the recipe are used 1 cup of Blackberries
so
For 4 cups of Blackberries
The number of batches are
(1)*4=4 batches
Answer:
the answer is b
Step-by-step explanation:
it is
John drives 257 miles and uses 9 gallons of gas. How many miles per gallon did he get? Without calculating the answer, from the choices given, which is most reasonable? A. 100 miles per gallon B. –6 miles per gallon C. 30 kilometers per liter D. 25 miles per gallon
Answers
Hope i helped!!
Answer:
Option D
Step-by-step explanation:
Given that John drives 257 miles and uses 9 gallons of gas.
we can find unit rate as
Per galon mileage given = 257/9 = 28
ANd units are miles/gallon
100 miles per gallon is very far from 28 hence incorrect
6 miles per gallon is very low
30 is right but unit is wrong
Hence option D is the right answer.
Your school gets a dunk tank for its spring fair. The tank is in the shape of a cylinder that is 5 feet high and has a radius of 3 feet. About how much water can the dunk tank hold? Use 3.14 for pi.
Answers
3 squared times pi for the circle area times 5 for the cylinder volume
Answer:
140
Step-by-step explanation:
that's the answer on ttm
Trapezoid JKLM is shown on the coordinate plane below:
If trapezoid JKLM is translated according to the rule ( x, y)—>(x + 5, y-4), What are the coordinates of point L’ ?
A. (3,-3)
B. (1, -6)
C. (8,-6)
D. (-1, 3)
Answers
Answer: (8,-6)
Step-by-step explanation:
the coordinates are (3,-2)
(x+5, y-4)
(3+5,-2-4)
(8,-6)
Two step equation; 0.7t - 3.2 = 1.7
Answers
0.7t = 4.9
0.7t/0.7 = 4.9/0.7
t=7
hope it helps
Factor 10x - 25 to write an equivalent expression
Answers
10 and 25 are both divisible by 5
(5)(2x-5)
What is the volume of a cube with a side length of 13 inches? A. 1014 in3 B. 169 in3 C. 2197 in3 D. 39 in3
Answers
13 x 13 x 13 = 2197 in3
Hope this helps!
B. 2197 in3
converse of the Pythagorean theorem
Answers
7. 4.5^2 + 6^2 = 7.5^2
20.25 + 36 = 56.25
56.25 = 56.25
yes, the card is a right triangle because A and B added together equals the same as C
Answer:
I hope this helps u can use this u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
Step-by-step explanation:
A Hindu might try to live a virtuous life to _____________.
A. be moved to a different caste in adulthood
B. be reborn as a person of higher caste
C. find a wealthy marriage partner
D. become a government official
Answers
convert
11 m^2 to yd^2
Answers
11/3 = 3.667 (rounded
11m^2 = 3.667yd^2
hope this helps