Juan llenó 3 cajas grandes y 4 cajas pequeñas.
En esta pregunta debemos derivar ecuaciones algebraicas a partir de la información dada en el enunciado:
Diferencia entre cajas grandes y cajas pequeñas
[tex]m - n = 1[/tex] (1)
Donde:
[tex]m[/tex] - Cantidad de cajas pequeñas.[tex]n[/tex] - Cantidad de cajas grandes.Diferencia entre la cantidad de bombones en una caja grande y la cantidad de bombones en una caja pequeña
[tex]x-y = 5[/tex] (2)
Donde:
[tex]x[/tex] - Cantidad de bombones en una caja grande.[tex]y[/tex] - Cantidad de bombones en una caja pequeña.Total de bombones en cajas grandes
[tex]x\cdot m = 60[/tex] (3)
Total de bombones en cajas pequeñas
[tex]y\cdot n = 60[/tex] (4)
By (3) and (4) in (2):
[tex]\frac{60}{m} - \frac{60}{n} = 5[/tex]
[tex]60\cdot n - 60\cdot m = 5\cdot m\cdot n[/tex] (5)
By (1):
[tex]m = 1 + n[/tex]
(1) in (5):
[tex]60\cdot n - 60\cdot (1+n) = 5\cdot (1+n)\cdot n[/tex]
[tex]60 = 5\cdot n +5\cdot n^{2}[/tex]
[tex]5\cdot n^{2}+5\cdot n -60 = 0[/tex]
[tex]n^{2}+n-12 = 0[/tex]
[tex](n+4)\cdot (n-3) = 0[/tex]
La única raíz que encaja con el enunciado es [tex]n = 3[/tex]. Por (1) tenemos que [tex]m = 4[/tex].
Juan llenó 3 cajas grandes y 4 cajas pequeñas.
Invitamos cordialmente a ver este problema sobre sistemas de ecuaciones: https://brainly.com/question/12149981
Your friend tried putting away the sugar for you and cannot get the 14 cups of sugar to fit in the containers! They determined you would need 9 containers to store the 14 cups of sugar.
They show you their calculations:
Answer the following questions.
What mistake did your friend make in calculating the number of containers needed?
*Hint* Look closely at the work shown to find the mistake
How many containers are needed to store the leftover sugar?
Answer:
21 containers
Step-by-step explanation:
When dividing fractions, you can multiply by the inverse of the fraction. For example, in this case, [tex]14 divided by \frac{2}{3} = \frac{14}{1}x\frac{3}{2}[/tex]. Whoever drew the calculations made the mistake of forgetting to flip the second fraction.
The actual solution of the problem is 42/2, or 21/1. 21 containers are needed to store the sugar.
If y = ax² + bx + c is the general form of a quadratic function, what is y = a(x - h)² + k? *
a. vertex form
b. general equation
c. point-slope form
d. slope-intercept form
How necessary is the value of a, b and c in transforming quadratic function from general to vertex form? *
a. to find the value of h and k
b. to find the number of roots
c. to determine the degree of the quadratic function
d. to determine the maximum point
Step-by-step explanation:
it is the vertex form.
remember, (h, k) is the vertex point.
the vertex being the point of the (quadratic) parabola, where the curve turns around.
depending on the orientation of the parabola (vertex up or vertex down) as defined by the sign of a, this is either the minimum or the maximum of the curve.
so, the first a. is correct.
and so is the second a., as they play an important role when completing the square and hence finishing the transformation.
HELP ME OUT PLEASE!!!
WILL GIVE BRAINLIEST!!!
Answer:
-4 9/10, -4 3/4, -4.2
Step-by-step explanation:
A. -4.9
B. -4.75
C. -4.2
ANSWER:
-4 9
10
-4 3
10
-4.2
Step-by-step explanation:
HOPE IT HELPSSSS
78 decreased by half a number is 45 Find the number
Answer:
number is 66
Step-by-step explanation:
let the number be n , then
78 - [tex]\frac{1}{2}[/tex] n = 45 ( subtract 78 from both sides )
- [tex]\frac{1}{2}[/tex] n = - 33 ( multiply both sides by - 2 to clear the fraction )
n = 66
The required number is 66
6p - 5 =13
3
-3
12
15
Answer:
6p=13+5
6p=18
p=18/6
p=3
Consider this function.
h(x) = (x - 2)^2+3
Which of the following domain restrictions would enable h(x) to have an inverse function?
a. x < 1
b. x ＞5
c. x < 3
d. x > 4
(Ps: all four answer and larger equal then or smaller equal then
Answer:
No inverse function: (a), (b), (c)
Inverse function exists: (d)
Step-by-step explanation:
The graph of h(x) = (x - 2)^2 + 3 is a parabola that opens upward and has vertex at (2, 3). If the entire graph is drawn, and the horizontal line test then applied, h(x) would not have an inverse, because the horizontal line would intersect the parabolic graph twice.
Note that if we restricted the domain to x ≥ 2, the resulting graph would pass the horizontal line test. This would also be true for x ≥ 3, x ≥ 4, and so on. Not so for (a) x < 1. False for x > -5. True for x < 3. True for x > 4.
No inverse function: (a), (b), (c)
Inverse function exists: (d)
Triangles ABD and XYZ are similar .Find the length of the segment XZ.
Answer: 2.4
Step-by-step explanation:
Because they are similar, the lengths of the sides will have the same ratio.
We will use side AB and side XY since it shows both sides.
This shows that the ratio is 3:4
We can then use that to find out that XZ also uses the ratio 3:4
3.2 / 4 = 0.8
0.8 * 3 = 2.4
XY is equal to 2.4
if Ray OC stands on a line AB such that angle AOC = angle COB then s.t angle AOCis equals to 90
Answer:
Since ray OC stands on line AB.
Therefore
∠AOC + ∠COB = 180° (Linear pair of angles)
But ∠AOC = ∠COB (given)
⇒ 2∠AOC = 180°
⇒ ∠AOC = 90
Step-by-step explanation:
What is 1 3 fourths x 8?
Answer:
14
Step-by-step explanation:
1 3 fourths is 7/4
(7/4)*8
4 cancels out with 8
2*7=14
1 3 fourths = 1 3/4 = 7/4
=》 7/4 × 8 (cancel out 4 & 8)
=》 7 × 2 (multiply them)
=》 14
____
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
tony purchases a pair of jeans for 45.49 before tax the jeans were originally priced at 69.99 what was the percent discount a 35% B 20% C 65% and D 80% pls help
the book is think up
Answer:
your so funny for a annoying kid
Step-by-step explanation:
A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed the magazine on sale for 50% off. What was the discount price?
Dylan is selling boxes of candy. He purchases them for $1.50 each and
marks up the price by 50%. How much is Dylan planning to charge? *
Answer:
2.25
Step-by-step explanation:
1.50+50%=2.25
please help
15 marks
Step-by-step explanation:
12a. y-y1=m(x-x1)
y-5=(2-5)/(1--3)(x--3)
y-5=-3/4(x+3)
4y-20=-3x-9
4y=-3x-9+20
4y=-3x+11
y=-¾x+11/4
12b.
Perpendicular lines have the product of their gradient equal to -1
For L1,the gradient is 3
For L2,we express in slope-intercept form
6y=1-2x
y=1/6-⅓x
The slope is -⅓
Now product of both slopes 3×-⅓=-1,thus the lines are perpendicular
21. A square park has an area of 120 m2
a) What are the dimensions of the park? Give your answer to the nearest metre.
b) If fencing costs $18.50/m, how much would it cost to install a fence around the park?
Show your work
plsss help me quick :((
Answer:
120m2
$6.25
$4.50
85
57
12
12
32
54
69
87
89
12
34
58
Lorreen sells 18 adult tickets, 23 student tickets, and 10 discount tickets for the school play. Write the ratio student tickets to adult tickets in three ways.
Answer:
23:18,23 to 18,23/18
Step-by-step explanation:
the three ways to write a ratio are colon,the word to, and the divide symbol .
Three sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister’s age.
Answer:
youngest 17
middle 19
oldest 21
Step-by-step explanation:
Three sisters have ages that are consecutive odd integers
youngest = x
middle = x + 2
oldest = x + 4
--------------------
The sum of the age of the youngest
x
and three times the age of the oldest
+ 3(x + 4)
is five less than five times the middle sister’s age
= 5(x + 2) - 5
-----------------------
x + 3(x + 4) = 5(x + 2) - 5
Distribute
x + 3x + 12 = 5x + 10 - 5
Combine like terms
4x + 12 = 5x - 5
Subtract 4x from both sides
12 = x - 5
Add 5 to both sides
17 = x
youngest x = 17
middle x + 2 = 19
oldest x + 4 = 21
A 250-foot length of fence is placed around a three-sided animal pen.
Two of the sides of the pen are 100 feet long each. Does the fence
form a right triangle? Prove that your answer is correct.
Step-by-step explanation:
no it does not form a right triangle.
a+b+c = 250
1002 + 502 does not equal 1002
nor 1002 + 1002 does not equal 502
so therefore the sides are 100, 100, and 50 but these do not make a right triangle
For which function is the ordered pair (5, 10) not a solution?
y = 15 - x
y = x - 5
y = x + 5
y = 2 x
Answer:
y = x - 5
Step-by-step explanation:
y = x - 5
10 = 5 - 5
10 is not equal 0
Answer:
y = x - 5
Step-by-step explanation:
y = x - 5
10 = 5 - 5
10 is not equal 0
If given 5 miles is 8km convert 13.5 miles into km
Step-by-step explanation:
There are 2 ways we can do this. We can use our friend which we will call a special device or we could actually solve using formulas we already know. Today, I will be using a formula but you can easily just use the secret device.
Step 1: Knowing the formula which is multiply miles by 1.609 and then round to the nearest tenth or hundredth.
13.5 X 1.609 = 21.7215.
Round down to 21.7.
Final Answer: 21.7 Km is equal to 13.5 miles or vice versa.
Write an equation of the line in slope-intercept form.
The equation is y=
.
Answer:
y = x + 2
Step-by-step explanation:
Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. Here, b is equal to 2 because the line crosses the y-axis at 2. THe slope is rise over run, or the change in y divided by the change in x. From the two points given, we get 3/3 which is equal to 1. 1x equals x, so this gives us "no slope." Putting it together gives us y = x + 2.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Which expression is equal to 3x/x+3+x−2/x
Answer: 6+x−2/x
Step-by-step explanation:
3x/x+3+x−2/x
3+3+x−2/x
6+x−2/x
================
Or, if you love crazy fractions:
3x/x+3+x−2/x
3x/x−2/x+3+x
(1/x)(3x−2)+3+x
help.....................
Answer:
Answers in Explanation
Step-by-step explanation:
First Question:
[tex]\sqrt{100}[/tex] + [18 ÷ 3 x 4 - 15] - (60 - 7^2 - 1)
[tex]\sqrt{100}[/tex] + [24 - 15] - (60 - 49 - 1)
[tex]\sqrt{100}[/tex] + 9 - 10
10 + 9 - 10
Answer = 9
Second Question:
5x + 2x = 7x
5x^2 + 3x^2 = 8x^2
2x + 3x - x = 4x
2x + 3y + x + y = 3x + 4y
9x - 6x = 3x
-7y + 3x + 4x + 3y = 7x - 4y
-7x^2 + 2x^2 + 9x^2 = 8x^2
(3x^2 + 5x + 4) - (-1 + x^2) = 2x^2 + 5x + 5
(3 + 2x - x^2) + (x^2 + 8x + 5) = 10x + 8
(3x - 4) - (5x + 2) = -2x - 6
(2x^2 + 5x + 3) - (x^2 - 2x + 3) = x^2 + 7x
(3x^2 + 2x - 5) - (2x^2 - x - 4) = x^2 + 3x - 1
Third Question:
17x + 2y
(5x + 12y) + (3x + y) = 8x + 13y
17x - 8x = 9x
2y - 13y = -11y
Answer: 9x - 11y
I need some help with this problem
Answer:
B is going to be our answer
Step-by-step explanation:
We said that we want each row to contain 40 beets
We divided and got 195 rows, with a remainder of 15.
This makes statement B true.
WILL MARK BRAINLY
The graph of g(x)=x^2+2x is translated by 4 units to the left. which of the following gives the equation of the new graph?
x^2 + 10x + 24
x^2 + 2x + 4
x^2 + 2x - 4
x^2 - 6x + 8
Answer:
X^2 + 10x +24
Step-by-step explanation:
I hope this helps!
what is the answer, i tried everything but i can’t seem to get the right answer
Answer:A
Step-by-step explanation: It never talks about 50 so i don't know why that is there so I think it is A because 21 dollars is more than 5+2.75, (not 100% sure but at least 85% sure)
Answer:
A
Step-by-step explanation:
The reason that this is A is because 5$ is the initial fee and you dont pay any more than that, since 21$ is the max you can afford it is going to be less than or equal to 21. and if it is 2.75$ per stop then it is the number of stops times 2.75. A is your answer.
edit: and the 50 kilometers doesnt have any value in the situation so basically it was just there to confuse you or throw you off.
F(1)=2, f(n)= f(n-1)+7
Plsss help
Answer:
6
5
2
3
1
4
5
6
7
8
9
10
11
12
13
15
16
17
18
19
20
I WILL GIVE BRAINIEST, PLEASE HELP
Answer:
A = (1, 10)
B = (4,10)
C = (4, 14)
D = (1, 16)
Step-by-step explanation:
Okay, so first, we move, or translate the quadrilateral PQRS down -8 spaces on the graph, turning old points:
P (1, -2) = (1, -10) Q (4, -2) = (4, - 10) S (1, -8) = (1, -16) and R (4, -6) = (4, -14)
Now, we need to rotate this new box into -x, y. So our new points are:
(1, -10) = (-1, 10) (4, -10) = (-4, 10) (1, -16) = (-1, 16) and (4,-14) = (-4, 14)
Now we're reflecting off the y-axis, making our x change. So for our final points:
A(1, 10) B (4,10) D(1, 16) and C(4, 14)
Hope this helps! Please check my math and comment wether this worked or not! :)
Answer:
hi
Step-by-step explanation:
ten times the reciprocal of a number equals 5 times the reciprocal of 3
The reciprocal of a whole number is a fraction with the whole number as the denominator.
Set up the equation:
10 * 1/x = 5 * 1/3
Simplify:
10/x = 5/3
Multiply both sides by 3:
30/x = 5
multiply both sides by x:
30 = 5x
Divide both sides by 5:
x = 6
Answer: 6
A right triangle is one that contains a ______ degree angle
Answer:
90 degrees
Step-by-step explanation:
......
Answer: 90 degree angle.
Step-by-step explanation: A right triangle must have a right angle.
Help please! !!!!!!!!!!!!!!!!!!!!!!
Answer:
the answer is -16(t-2)(t+1)
Step-by-step explanation:
graphically represent
The cuadratic relation
boberson is after then my mom
