Erica tiene 85 libros y 9 estanterias, para colocar todos los libros sin que le sobre ninguno, puede colocar 17 libros en 5 estanterias.
¿Cuantos libros tiene?
Primero sabemos que Erica tiene, al menos, 50 libros, entonces si definimos L como el numero de libros que tiene, tendremos:
L ≥ 50.
Si coloca 11 en cada estanteria, le sobran 8, entonces podemos escribir:
L = n*11 + 8 (donde n es un número entero).
Si coloca 9, le sobran 4, entonces:
L = k*9 + 4 (donde k es un número entero).
Entonces tenemos que:
n*11 + 8 = k*9 + 4
n*11 - k*9 + 8 - 4 = 0
n*11 - k*9 + 4 = 0
n = (k*9 - 4)/11
Lo que podemos hacer es evaluar k en distintos valors enteros de tal forma que la solucion de n tambien sea entera. Por ejemplo, si k = 2 tendremos:
n = (2*9 - 4)/11 = 14/11
Notar que en este caso n no es entero, asi que no sirve.
Seguimos, si k = 9 tendremos:
n = (9*9 - 4)/11 = 77/11 = 7
Ambos son enteros.
Entonces Erica tiene:
L = 9*9 + 4 = 85 libros en total.
Y el numero de estanterias sera el maximo entre n y k, que es k = 9, hay 9 estanterias.
Para colocarlos sin que le sobren, puede colocar 17 libros en cada estanteria. Asi con 5 estanterias colocara los 85 libros.
Sí quieres aprender más sobre evaluar expresiones, puedes leer:
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Mr. West estimated a mass to be 265g, but upon carefully measuring it, found the actual mass to be 240g. What was the percent error?
Answer:
The answer is 10.42 %Step-by-step explanation:
The percentage error of a certain measurement can be found by using the formula
[tex]P(\%) = \frac{error}{actual \: \: number} \times 100\% \\ [/tex]
From the question
actual mass = 240 g
error = 265 - 240 = 25
So we have
[tex]p(\%) = \frac{25}{240} \times 100 \\ = 10.41666666...[/tex]
We have the final answer as
10.42 %Hope this helps you
I need help with this question?
Directions:Write the equation of each line. Explain what the slope and y-intercept represents in the context of each graph.
on october 14, bob has $20
on october 20, bob has $80
if bob continues to save money at this rate, how much money will he have on october 23?
A Camaro travels 82.5
miles in one half
hour. How many miles
per hour does it
travel?
Answer:
165 miles per hour
Step-by-step explanation:
2 (half an hour) = one hour
so
2(82.5) = 165 mph
Audrey charges a flat fee of $4 for each delivery plus a certain amount, in dollars per mile, for each mile she drives. For a distance of 30 miles, Curtis and Audrey charge the same amount. How much does Audrey charge, in dollars per mile? Show your work
*
3. Solve for x
Please need help ASAP
Please help me with this. Will give brainliest to the best answer. Image attached
Answer:
1: x= 10
Step-by-step explanation:
I only know the first one, sorry, but if its any help then for #2: x= 8
if the midpoint is located at (6,-2) and one endpoint is at (1,7), what is the coordinates of the other endpoint?
Answer:
(11, -11)
Step-by-step explanation:
The coordinates of the midpoint are the average of the endpoint coordinates.
6 = (x + 1) / 2
x = 11
-2 = (y + 7) / 2
y = -11
Which equations are true for x = -2 and x = 2? Select two options
x2 - 4 = 0
x2 = 4
3x2 + 12 = 0
4x2 = 16
O2(x - 2)2 = 0
Answer:
A, D
Step-by-step explanation:
EDGE 2021
3.305 + 1.7 what's the sum? Also more questions are coming just doing a test
3.305
+1.7
5.005
Line up the decimal points and add like you usually would add.
5.005 is the answer.
John has a square room with the area of 121 what is the side length of the room
Answer: 11
Step-by-step explanation:
11x11=121
I jus need help on the ounces
Answer:
4 pounds = 64 ounces and 5 pounds = 80 ounces
Step-by-step explanation:
One pound is 16 ounces
So pound to ounces you multiply by 16
Thus:
4 * 16 = 64
5 * 16= 80
HOPE IT HELPED
Answer:
64, 80
Step-by-step explanation:
you would just multiply by 16 since 16oz = 1lb
Simplify.
2(m + 11)
2m + 11
2m + 22
24m
22m
Answer:
b 2m + 22
Step-by-step explanation:
m times 2 is 2m and 11 times 2 is 22
Answer:
2m + 22
Step-by-step explanation:
Step 1: Write expression
2(m + 11)
Step 2: Distribute (Distributive Property)
2m + 22
We simply distribute 2 to each term in the parenthesis.
What is the sum of (3/8x-2) +(1/8x-5)
Answer:
1/2x-7
Step-by-step explanation:
Add 3/8x and 1/8x to get 4/8x which is the same as 1/2x
Then add the integers: -2 + -5 = -7
Jasmine has just started high school she finds that she is struggling to manage her time and complete all of her assignments how could she use communication to help her learn to manage her time
Need answer I don’t have much time
The 9th grade class at Georgia high School wanted to go on a field trip to a soda factory. The trip will cost $100. The students decided to write a class newspaper and sell it to the kids at their school. Each of the 20 students will be given a 16-inch square for his/her article in the newspaper. How many pages long will the newspaper be if they used paper that was 8 ½ x 11 inches?
Answer:
2 Pages Long
Step-by-step explanation:
is this a function if is not tell why
Answer:
yes
Step-by-step explanation: all inputs go to one output but they do not go over more than once that is why
we're doing literal equations in math and i dont understand how i would solve this question, please help!
Answer:
x = -4u/3
Step-by-step explanation:
The first step is to create a fraction on both sides in order to prepare for cross-multiplication.
Cross-multiplication is a shortcut for the following technique, shown by this example.
a/b=c/d
Multiplying both sides of the equation by bd using the multiplication property of equality will then grant the equation ad = bc, and then a single component can be isolated by creating the equation a = bc/d for example using the division property of equality.
Back to cross-multiplication, however, creating a fraction of both sides can be achieved by creating the equation u/1 = -3x/4, since any number divided by 1 is equal to itself.
Then, by cross-multiplying u and 4 and 1 and -3x, you get the equation 4u = -3x.
Dividing both sides by -3 will then grant the final answer of x = -4u/3.
What number does the calculator display represent?
Answer:
C
Step-by-step explanation:
After changing its format, a radio station lost 34% of its listeners. If there were an estimated 83.000 listeners originally, how many listeners does the radio
station have now?
Answer: 54
Step-by-step explanation: 1.00-34 is 0.66 and multiply that by 83 gives you 54.78 but you can't have 78 of a person so you round down
Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 9 to the number and multiplied the sum by 2, it would equal 8. Which equation could Stephanie use to find the number, x?
Answer:
4 (x + 7) = 8
Step-by-step explanation:
4 (x + 7) = 8 Because you add 7 to Amy's number then multiplied by 4 which equals 8
what is 2⁵ evaluation
Which ordered pair is a solution to the system of inequalities?
y> 2x
y> 3
O A. (4,6)
O B. (2,4)
O C. (1,5)
O D. (0,3)
Answer:C
Step-by-step explanation:
BIG BRAIN
The solution is, C. (1, 5), ordered pair is a solution to the system of inequalities.
Here, we have,
We have the following system of inequalities:
y> 2x
y> 3
We graph each inequality and obtain the following:
Now we graph each point and the one that remains inside the purple zone, would be the system solution, like this:
We can see that the only option that remains within the point zone is the point (1, 5)
therefore, the correct answer is C. (1, 5)
To learn more on inequality click:
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how do I do this homework???
Step-by-step explanation:
a)
135
/ \
3. 45
/ \
3. 15
/ \
3. 5
b)
250
/ \
10 .25
/\ / \
2 5. 5 5
c)
351
/ \
3. 117
/ \
3. 39
/ \
3. 13
Hope it helps :)
∠A and ∠B are complementary angles. If m∠A = (6x + 29)° and m∠B = (x + 5)°, then find the measure of ∠A
Answer:
77 degrees
Step-by-step explanation:
6x+29+x+5= 90
7x=56
x=8
m<A = 77 degrees
20=5x-13=6x what is x equaled to
HELP ASAP
20=5x-13+6x
We move all terms to the left:
20-(5x-13+6x)=0
We add all the numbers together, and all the variables
-(11x-13)+20=0
We get rid of parentheses
-11x+13+20=0
We add all the numbers together, and all the variables
-11x+33=0
We move all terms containing x to the left, all other terms to the right
-11x=-33
x=-33/-11
x= 3
Answer:
3
Step-by-step explanation:
First, write the equation.
20=5x-13+6x Combine like terms on the right side.
20=11x-13 Add 13 on both sides.
+13 +13
33=11x Divide both sides by 11.
/11 /11
3=x
Hope this helps!! Have a wonderful day :3
Solve the equation. Show all Work. (4 points)
73 + 3(-x + 6)=42
1 pt. for correct answer. 3 point for all correct work shown. Remember to make sure
you show what operation you perform to both sides of the equation for every step.
Answer:
6
Step-by-step explanation:
7x + 3(-x + 6) = 42
use distributive property
7x + -3x + 18 = 42
positive + negative = negative
7x - 3x + 18 = 42
combine like terms
4x + 18 = 42
subtract 18 from both sides
4x + 18 - 18 = 42 - 18
18 is canceled out on the left side
4x + 0 = 24
4x = 24
divide both sides by 4
4x ÷ 4 = 24 ÷ 4
1x = 6
x = 6
PLZ Help
Will mark brainliest and give 100 points
its a long one so dm me abt 50 more!
Answer:
yes check and click your profile
Step-by-step explanation:
Jerome hiked three-fourths of a mile in two-thirds of an hour. What was his hiking speed in miles per hour?
The value of his hiking speed in miles per hour will be;
⇒ Speed = 9/16 miles per hour
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;
Jerome hiked 3/4 of a mile in 2/3 of an hour.
Now,
Since, Jerome hiked 3/4 of a mile in 2/3 of an hour.
Hence, We can formulate;
⇒ Speed = Distance / Time
⇒ Speed = 3/4 / 2/3
⇒ Speed = 3×3 / 4×4
⇒ Speed = 9/16 miles per hour
Thus, The value of his hiking speed in miles per hour will be;
⇒ Speed = 9/16 miles per hour
Learn more about the mathematical expression visit:
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