Answer:
Primeras urnas = 60 bolsas
Segundas urnas = 140 bolsas
Terceras urnas = 200 bolsas
Step-by-step explanation:
Deje que las urnas se representen de la siguiente manera
Primeras urnas = a
Segundas urnas = b
Terceras urnas = c
Se nos dice en la pregunta
400 bolsas se distribuyen en tres urnas
Por lo tanto,
a + b + c = 400 bolsas ......... Ecuación 1
Por la pregunta sabemos que
1) El primero tiene 80 menos que el segundo
a = b - 80
2) Y este segundo tiene 60 menos que el tercero
b = c - 60
Por tanto, c = b + 60
Por lo tanto, sustituimos b - 80 por ayb + 60 por c en la Ecuación 1
a + b + c = 400 bolsas ......... Ecuación 1
b - 80 + b + b + 60 = 400 bolsas
Recopilar términos similares
b + b + b - 80 + 60 = 400 bolsas
3b = 400 + 80 - 60
3b = 420
b = 420/3
b = 140 bolsas
Por lo tanto, el número de bolsas en la segunda urna = 140 bolsas
Dado que a = b - 80
a = 140 bolsas - 80
a = 60 bolsas
Por lo tanto, el número de bolsas en la primera urna = 60 bolsas
Dado que c = b + 60
b = 140 bolsas
c = 140 + 60
c = 200 bolsas.
El número de bolsas en las terceras urnas = 200 bolsas.
Nora took 10 bottles of water to a picnic. Of these bottles of water, she and her friends opened a certain number of bottles, b. What expression can be used to determine the number of unopened bottles at the end of the picnic?
Answer:
10 - B = U
Step-by-step explanation:
U stands for the unopened bottles
for example if they opened 3 bottles it would be 10 - 3 = U (unopened bottles)
The value of U is 7 because the 10 bottles of water minus the 3 bottles they opened it would equal 7.
therefore the equation 10 - B = U shows the amount of unopened bottles
Given that 4 x − 5 y = 12 Find y when x = − 3
Answer:
When x = -3.
4(-3)-5y=12.
-12-5y=12.
-5y=12+12.
-5y=24.
y= -4.8
can anyone plz help me plz
The constant of proportionality is the slope of the line.
The slope is the change in y over the change in x
Using two pints on the line:
Slope = (3-0) / (1-0) = 3/1 = 3
The answer is 3
Solve the inequality for w.
-5w>20
Simplify your answer as much as possible.
Answer:
Step-by-step explanation:
-5w > 20
w < -4
On a vertical line segment, point A is located at 50. Point B is located at 104. Point P is a point that divides segment AB in a ratio of 1:5 from A to B. Where is point P located?
Answer:
Step-by-step explanation:
Let the initial point on the line segment be O. If point A is located at 50 and point B is located at 104, then OA = 50 and OB = 104. Using the vector notation;
AO+OB = AB
(-OA)+OB = AB
-50+104 = AB
AB = 54
If point P divides the segment AB in a ratio 1:5, them AP:PB = 1:5
AP = 54/6
AP = 9
PB = 54-9
PB = 45
Hence the point P is located at 9 units from A and 45 units from B
Solve linear equation
- 0.75p - 2 =0.25p
Answer: p = -2
Step-by-step explanation:
- 0.75p - 2 =0.25p add .75p on both sides
-2 = p That's the same thing at p = -2
Answer:
p = -2
Step-by-step explanation:
-0.75p - 2 = 0.25p Subtract 0.25p from both sides
-1p - 2 = 0 Add 2 to both sides
-1p = 2 Divide by -1 on both sides
p = -2
An _____________is an approximate number or answer
Answer:
≈ or estimate
Step-by-step explanation:
Answer:
average
Step-by-step explanation:
In ΔQRS, the measure of ∠S=90°, QR = 8.2 feet, and SQ = 4.2 feet. Find the measure of ∠R to the nearest degree.
Answer:
R=30.81≈31
Step-by-step explanation:
Answer:
R=30.8
Step-by-step explanation:
The answer you'd get on the calculator when simplisfied is 30.81, and when that answer is rounded to the nearest tenth, it'd equal 30.8 and not 31
What is x2=361 equation for x
Answer:
x = ± 19
Step-by-step explanation:
x² = 361
x = ±√361
x = ± 19
100 trout are seeded into a lake. Absent constraint, their population will grow by 70% a year. The lake can sustain a maximum of 2000 trout. How many trout will be in the lake after 2 years.
After 2 years, the population of trout in the lake will be 2000 trout.
Given:
Initial population = 100
Growth rate = 70%
Time= 2 years
After the first year:
Population after 1 year = Initial population + (70% of the initial population)
= 100 + (0.7 * 100)
= 100 + 70
= 170 trout
After the second year:
Population after 2 years = Population after 1 year + (70% of the population after 1 year)
= 170 + (0.7 * 170)
= 170 + 119
= 289 trout
Since the calculated population exceeds this limit, the population will be limited to the maximum capacity of 2000 trout.
Therefore, the population of trout in the lake will be 2000 trout.
Learn more about Trout here:
brainly.com/question/10451931
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what property is this? (−6.8+(−5.1))+6.2=(−5.1+(−6.8))+6.2
Answer:
commutative property
Step-by-step explanation:
Find the value of each variable in the parallelogram.
Answer:
w = 2, z = 7
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ;)
write a word problem for this equation $2 x n = $18
Answer:
If You have $18, how many $2 items can you purchase?
what is a - 6 = 13 (solve the equation, check your solution)
Answer:
A=19
Step-by-step explanation:
Add 6 to both sides
Answer:
a = 19
Step-by-step explanation:
a - 6 = 13
+6 +6
a = 19
Checked: 19 - 6 = 13
Once a hot-air balloon reached its highest point, it dropped 25 feet. Then five minutes later, it dropped another 13 feet. Find its total change in altitude during this time.
Answer:
The total change of altitude should be, -38ft.
Step-by-step explanation:
which of the following appear in the diagram below?
check all that apply.
Answer:
A
Step-by-step explanation:
In the triangle below, find the measurements of the unknown angles.
2a
75
O °
A. 75°, 1050
OB. 40°, 80°
Oc.
C. 50, 10°
OD. 25°, 50°
O E
E. 35º, 70°
Answer:
E. 35°, 70°
Step-by-step explanation:
Sum of angles add up to 180° in every triangle.
Step 1: Set up equation
a + 2a + 75 = 180
Step 2: Combine like terms
3a + 75 = 180
Step 3: Subtract 75 on both sides
3a = 105
Step 4: Divide both sides by 3
a = 35
So 1 angle is 35°
Step 5: Plug in a to find last angle
2(35) = 70°
Answer:
E. 35°, 70°
Step-by-step explanation:
6x + 3 (2x) - 7 - 2³ Please include th steps to solving it.
Answer:
24x-15
Step-by-step explanation:
Let's do this together with a step-by-step explanation!
First we need to make sure we remember that there are appropriate ways on how to solve these. LIKE PEMDAS.
6x + 3 (2x) - 7 - 2³
Let's multiply the 3 and 2x together.
6x + 6x - 7 - 2³
Now let's do the exponent
6x + 6x - 7 - 8
Now let's add everything together! But remember only common variables can be added together.
24x - 15 is the answer.
You can no longer break anything down.
I really hope this helped you!
Answer:
12x - 15
Step-by-step explanation:
so you would have to do the order of operations. so your exponent would be first. so 2×2×2=8.
6x + 3 (2x) -7 + 8
Now you can look at your parentacese which is (2x) so you need to do 3(2x) which gets you 6x.
6x + 6x -7 + 8
So you need to combine like terms.
so starting with the x
6x + 6x = 12x
Now your equation looks like this
12x + -7 +8
now you need to add like terms. (numbers)
-7 -8
so your answer is
12x -15
What is the image point of (6,1) after a translation left 5 units and down 1 unit?
Answer:
(1, 0 )
Step-by-step explanation:
A translation of 5 units left means subtract 5 from the x- coordinate
A translation of 1 unit down means subtract 1 from the y- coordinate, thus
(6, 1 ) → (6 - 5, 1 - 1 ) → (1, 0 )
write a pair of equal angles which are supplementary
Step-by-step explanation:
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what is the answer to 9 + 10?
Answer:
19
Step-by-step explanation:
its just addition
Answer:
67
Step-by-step explanation:
its simple baby:)
54:23
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the
equation 3x-3-2x+10?
O x = 5
05 = X
-15 = -5x
-5x = 15
Answer: -5x=15
Step-by-step explanation:
f
1) ¿CUÁLES DE ESTAS OPERACIONES SE PUEDEN EXPRESAR COMO POTENCIAS? ¿POR QUÉ? a) 4 x 4 x 4 x 4 b) (-3) +(-3) + (-3) c) 7 + 7 + 7 d) 7 x 7 x 7 e) (-2) x (-2)
Answer:
4 × 4 × 4 × 4 7×7×7(-2)×(-2)Step-by-step explanation:
solo las expresiones con signos de multiplicación pueden expresarse como potencias
[tex]4\times 4\times4\times4 = 4^4\\\\7\times7\times7 =7^3\\\\(-2)\times(-2) = (-2)^2[/tex]
What is a fraction grader than 33% and less than 1/2
Answer: 45% or 9/20
Step-by-step explanation:
50% is half and 33% is 1/3. 45% is less than 50% and greater than 33% and 9/20 is the simplified fraction form of 45%.
Calculate 12 x 15 by changing the numbers into friendlier numbers as we saw in the videos. Show how you work it out – write out your methods using the number keys on your computer here: Please write your response.
Answer:
The product 12 × 15 in friendlier numbers is (10 + 2) × (10 + 5) = 180
Step-by-step explanation:
The parameter given are;
To 12 × 15 by changing the numbers into friendlier numbers
The product in 12 × 15 written with friendlier numbers (or in a simplified format can be given as follows;
12 × 15 = (10 + 2) × (10 + 5)
Which gives;
(10 + 2) × (10 + 5) = 10² + 10 × 5 + 2 × 10 + 2 × 5
From which we have;
10² + 10 × 5 + 2 × 10 + 2 × 5 = 100 + 50 + 20 + 10 = 180
Therefore;
12 × 15 = 180.
can someone show me the answer + how they got there? (x+4)(x-1)
Answer:
x^2+3x-4
Step-by-step explanation:
x * x - x + 4x - 4
x^2 - x + 4x - 4
x^2 + 3x - 4
=============================================
Explanation:
You can use the FOIL rule to expand out (x+4)(x-1), but here's another way you could do it.
Let y = x+4
This means we replace (x+4) with y to get y(x-1)
Distribute the y term through to get yx-y which can be written as x(y) - 1(y)
After this, replace y with x+4 getting x(x+4)-1(x+4)
Distribute a second time and simplify like so
x(x+4)-1(x+4)
x^2+4x-1x-4
x^2+3x-4
if the width is 8 less than the length of a rectangle and the perimeter is 48 find the width
Answer:
Widyh = 8 units
Step-by-step explanation:
Perimeter = 2/width+length)
then:
48 = 2(W+L)
W = L-8
W = Width
L = Length
then:
48 = 2((L-8)+L)
48 = 2(2L88)
48 = 2*2L - 2*8
48 = 4L - 16
48 + 16 = 4L
64 = 4L
L = 64/4
L = 16
W = L-8
W = 16-8
W = 8
Check:
48 = 2(16+8)
48 = 2*24
What are the steps to answer 6x-2=-4x+2
Answer: [tex]x=2/5[/tex] or [tex]x=0.4[/tex]
Simplify the equation to the form
[tex]6x-2=-4x+2[/tex]
Move all terms containing x to the left and all other terms to the right
[tex]6x+4x=+2+2[/tex]
Simplify left and right side of the equation
[tex]10x=+4[/tex]
Divide both sides of the equation by 10 to get x
[tex]10x/10=4/10[/tex]
[tex]x=2/5[/tex] or [tex]x=0.4[/tex]
(9b−1)(9b+1) Me pueden ayudarme con esta otra pregunta Please.
Answer:
Using identify (a+b)(a-b) =a²-b²
Ur answer is (9b-1)(9b+1) =81b²-1
x-8/2=4 please help me asap this assignment is due in and hour! and please teach me how to do it! 10 points!!
Answer:
x = 8
Step-by-step explanation:
x - 8/2 = 4
Follow your order of operations and divide first.
8/2 is 4
x- 4 = 4
Next, isolate the variable by using the additive property of equality.
x - 4 + 4 = 4 + 4
x = 8
Answer:
ok so u do the opposite of 8/2 so do 8*2 which is 16 then add the answer which is 4 which equals 20 so 20- 8/2=4, 20-16=4