Answer:
1. 1/12x
2.1/6x
3. 18
Step-by-step explanation:
Let
x=number of crackers in the box
On Monday, Alexander are 1/2 of the crackers
1/2 of x
=1/2x
Remaining
x-1/2x=2x-1/2
=1/2x
Tuesday=1/2 of what was left
=1/2 of 1/2x
=1/2×1/2x
=1/4x
Remaining
1/2x-1/4x
=2x-x/4
=1/4x
Wednesday=1/3 of what was left
=1/3 of 1/4x
=1/12x
Remaining
1/4x-1/12x
=3x-x/12
=2/12x
=1/6x
1. What fractional part of the total crackers originally in the box did Alexander eat on Wednesday?
1/12x
2. what fractional part of the total crackers originally in the box are left.
1/6x
3. if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened.
1/6x=3
Divide both sides by 1/6
1/6x ÷ 1/6 = 3 ÷ 1/6
x=3÷1/6
=3 × 6/1
=18
x=18
Answer:
1) 1/12
2) 1/6
3) 18
Step-by-step explanation:
Let tan(x)=2/5 What is the value of tan(π−x) ?
Answer:
tan(π−2/5)
decimal form -0.42
Answer:
-0.42
Step-by-step explanation:
can someone help me with this graphical method equation 3x + 5y = -2 7x - 8y = 15
Answer:
x = 1
y = -1
Step-by-step explanation:
3x + 5y = -2
7x - 8y = 15
=> -8y = 15 - 7x
=> -y = 15/8 - 7/8x
=> y = -15/8 + 7/8x
3x + 5(-15/8 + 7/8x) = -2
=> 3x -75/8 + 35/8x = -2
=> 24/8x - 75/8 + 35/8x = -16/8
=> 59/8x - 75/8 = -16/8
=> 59/8x = 59/8
=> x = 59/8 x 8/59
=> x = 472/472
=> x = 1
x = 1
So, 3x + 5y = -2
=> 3 (1) + 5y = -2
=> 3 + 5y = -2
=> 5y = -5
=> y = -5/5
=> y = -1
So, x = 1
=> y = -1
3 sides of the triangle are consecutive odd numbers. What is the smallest possible perimeter of the triangle ?
The sides are 3, 5, and 7 because 7 is less than 3 + 5, so it equals a triangle.
The smallest possible perimeter of such triangle would be 8.
What is triangle inequality theorem?Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]
Given; 3 sides of the triangle are consecutive odd numbers.
The sides are 3, 5, and 7 because 7 is less than 3 + 5 so it equals a triangle.
The smallest consecutive odd numbers are 1, 3 and 5
Therefore, the smallest possible perimeter of such triangle = 8
Learn more about triangle inequality theorem here:
https://brainly.com/question/342881
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you are working with a 30-60-90 right triangle. its longer leg measures 6. What is the length of the hypotenuse
Answer:
4sqrt(3) = 6.928
Step-by-step explanation:
Ratio of the lengths of the sides of a 36-60-90 triangle:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
The short leg is sqrt(3) times shorter than the long leg.
The hypotenuse is twice the short leg.
long leg = 6
short leg = 6/sqrt(3)
hypotenuse = 12/sqrt(3)
12/sqrt(3) * sqrt(3)/sqrt(3) = 12sqrt(3)/3 = 4sqrt(3)
Trains A and B, 200 km apart on the same straight track, travel at speeds of 50 km/hr and 65 km/hr respectively. At the end of 1 hour, the distance between the trains could not
Answer:
Ok, at the beginning the distance between the trains is 200km:
IPa(0s) - P(0s)I = 200km.
where Pa is the position of train A, and Pb is the position of train B.
Now, the speed of train A is:
Sa = 50km/h
Sb = 65km/h
Now, remember the relation:
Distance = Speed*time.
So, in one hour, the displacement of train A is:
Distance = 50km/h*1h = 50km
The displacement of train B is:
distance = 65km/h*1h = 65km.
Now, if at the beginning train A is 200km ahead of train B, then we have:
Pa - Pb = (Pa(0s) + 50km) - (Pb(0s) + 65km)
= (Pa(0s) - Pb(0s)) + (50km - 65km) = 200km - 15km = 185km.
Now, if train B was 200km ahead of train A, we have:
Pb - Pa = (Pb(0s) + 65km) - (Pa(0s) - 50km) =
(Pb(0s) - Pa(0s)) + (65km - 50km) = 200km + 15km = 215km
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
[tex]\huge\boxed{Option \ C}[/tex]
Step-by-step explanation:
∠CAD is the central angle and ∠CBD is the inscribed/circumference angle which means that
∠CAD = 2(∠CBD)
So, If ∠CBD = 55° then ∠CAD = 110°
Answer ASAP, will give brainliest!!
Answer:
Step-by-step explanation:
77; The formula to calculating the area of a trapezoid is (a+b)/2 * c. a+b are the 2 parallel lines, and c is the height or the altitude. So, it is (10+12)/2 * 7, which is 22/2 * 7 = 11*7=77 :)
If EH = 23, calculate AB.
Youngblood say you want me back in your life...
Answer:
2/4 = 23/AB
1/2 = 23/AB
AB= 46
Hope it helps ^_^
A company knows that if it sets the price of a product at p dollars, the number of units sold will be x million, where p = 2 - x. If the cost of the product is given by 0.25 + 0.5x million dollars. What price should be set to make a profit of $ 0.25 million?
====================================================
Explanation:
x = number of products, in millions, sold
p = price per product
R = revenue
R = (number of products sold)*(price per product)
R = x*p
R = x(2-x)
R = 2x-x^2
C = costs
C = 0.25 + 0.5x
F = profit
F = revenue - costs
F = R - C
F = (2x - x^2) - (0.25 + 0.5x)
F = -x^2 + 1.5x - 0.25
We want a profit of 0.25 million, so plug in F = 0.25 and solve for x
F = -x^2 + 1.5x - 0.25
0.25 = -x^2 + 1.5x - 0.25
0 = -x^2 + 1.5x - 0.25 - 0.25
-x^2 + 1.5x - 0.5 = 0
Use the quadratic formula to find the two solutions to be x = 0.5 and x = 1
If x = 0.5, then p = 2-x = 2-0.5 = 1.5
If x = 1, then p = 2-1 = 1
There are two price points (p = 1.5 and p = 1) that lead to the same profit F = 0.25
Tres amigos quieren abrir una empresa dedicada al reciclaje de plasticos. Para eso deben contar con $72.000. Uno de los amigos aporto 1/3 de dinero necesario para abrirla, el segundo aporto una cantidad equivalente a los 5/6 del resto.¿cuanto dinero aporto el tercer amigo?¿Cual de los tres hizo el mayor aporte?¿cuanto mas puso en relación con que el que aporto menos?
Answer:
a) ¿cuanto dinero aporto el tercer amigo?
= $ 8,000
b) ¿Cual de los tres hizo el mayor aporte?
El segundo amigo hizo la mayor contribución.
c)¿cuanto mas puso en relación con que el que aporto menos?
El tercer amigo hizo la menor contribución
Step-by-step explanation:
De la pregunta, se nos dice:
Dinero total requerido: $ 72,000
El primer amigo contribuyó: 1/3 si el dinero era necesario
Por lo tanto, el primer amigo contribuyó:
1/3 × $ 72 000 = $ 24 000
El segundo amigo contribuyó con 5/6 del resto
La fracción que representa el resto = 1 - 1/3 = 2/3
Por lo tanto, el segundo amigo contribuyó = 5/6 de 2/3 = 5/6 × 2/3 = 5/9
La fracción de la cantidad de dinero que contribuyó el segundo amigo = 5/9
Por lo tanto, la cantidad que contribuyó el segundo amigo =
5/9 × $ 72 000 = $ 40 000.
a) ¿cuanto dinero aporto el tercer amigo?
Esto se calcula como:
$ 72,000 - ($ 24,000 + $ 40,000)
$ 72 000 - $ 64 000
= $ 8,000
Por lo tanto, el tercer amigo aportó $ 8,000.
b) ¿Cual de los tres hizo el mayor aporte?
Del cálculo anterior:
El primer amigo = $ 24,000
Segundo amigo = $ 40,000
Tercer amigo = $ 8,000
Por tanto, el segundo amigo hizo la mayor contribución.
c) ¿cuanto mas puso en relación con que el que aporto menos?
Del cálculo anterior:
El primer amigo = $ 24,000
Segundo amigo = $ 40,000
Tercer amigo = $ 8,000
Por lo tanto, el tercer amigo hizo la menor contribución.
10 points to the person who answers this question.
Answer:
your answer is
2 X l+b
2 X 6x + 3x
8x + 10...
please help me on this
56
a = 18
18 and 43 is 124
180 minus 124 is 56
The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches. The length of the rectangle is inches, and its width is inches.
Answer: Width= 7 in.
Length= 10 in.
Step-by-step explanation:
[tex]l=w+3[/tex]
The perimeter of the rectangle is 34 inches.
[tex]2(w+l)=34[/tex]
substitute
[tex]2(w+w+3)=34[/tex]
[tex]2(2w+3)=34[/tex]
distributive property [tex]a(b+c)=ab+ac[/tex]
[tex]2\cdot 2w+2\cdot 3=34[/tex]
[tex]4w+6=34[/tex]
[tex]4w+6-6=34-6[/tex]
[tex]4w=28[/tex]
divide 4 on both sides
[tex]w=7[/tex]
Width is 7 inches
substitute w=7 in equation [tex]l=w+3[/tex]
[tex]l=7+3[/tex]
[tex]l=10[/tex]
Length is 10 inches
PLEASE HELP ME !!!
given a function y = 5x² - 9x - 5
from the graph, determine the value of x when y = 0
Answer:
-0.4 or 2.3
Step-by-step explanation:
simple
each box is 0.1 unit
Answer:
Step-by-step explanation:
The answer is where the graph cuts the x-axis.
I can't see it very well but it looks like x = -0.4 and 2.3.
What were Malcolm's and Ravi's maximum speeds?
Answer:
Malcom's maximum speed = 200 km/h
Ravi's maximum speed = 320 km/h
Step-by-step explanation:
Represent the maximum speed of Malcolm and Ravi with equation as follows:
Let Malcom's speed be x, and Ravi's speed by y.
The average of speed is said to be 260 km/h. An equation to represent this is: [tex] \frac{x + y}{2} = 260 [/tex]
[tex] x + y = 260*2 [/tex]
[tex] x + y = 520 [/tex] => equation 1.
We are also told that when Malcom's speed (x) is doubled it equal 80 km/hr more than Ravi's speed (y). An equation can be created for this, which is [tex] 2x = y + 80 [/tex]
[tex] 2x - y = 80 [/tex] => equation 2
Now that we have 2 equations as a system, solve for the values of x and y simultaneously.
Add both equations together to eliminate y
[tex] x + y = 520 [/tex]
[tex] 2x - y = 80 [/tex]
[tex] 3x = 600 [/tex]
[tex] x = \frac{600}{3} [/tex]
[tex] x = 200 [/tex]
Plug in the value of x into equation 1 to find y.
[tex] 200 + y = 520 [/tex]
[tex] y = 520 - 200 [/tex]
[tex] y = 320 [/tex]
Malcom's maximum speed = x = 200 km/h
Ravi's maximum speed = y = 320 km/h
A woman sold an article for 200 GH cedis and made a profit of 25%. Find the cost price of the article.
Answer:
160
Step-by-step explanation:
x = original price
x+ 25% x = 200
Change to decimal form
x + .25x = 200
1.25x = 200
Divide each side by 1.25
x = 200/1.25
x =160
The original price was 160
PLEASE HELP QUICK, WILL MARK BRAINLIEST!
Solve for x: −6 < x − 1 < 9
5 < x < 10
−5 < x < 10
−5 > x > 10
5 > x > −10
Answer:
−5 < x < 10
Step-by-step explanation:
−6 < x − 1 < 9
Add 1 to all sides
−6+1 < x − 1+1 < 9+1
−5 < x < 10
Answer:
B
Step-by-step explanation:
Add one to everything
-5 < x < 10
Best of Luck!
Glass A measures 84 mm in diameter and 175 mm tall. Glass B measures 96 mm in diameter and 125 mm tall. Which glass holds more liquid? How much more?
Answer:
Glass A
Step-by-step explanation:
Volume = п r ² h
п = 3.14 aprox.
r = radius = diameter/2
h = tall
glass Avolume = 3.14 * (84/2)² * 175
volume = 3.14 * 42² * 175
volume = 3.14 * 1764 * 175
volume = 969318mm³
glass Bvolume = 3.14 * (96/2)² * 125
volume = 3.14* 48² * 125
volume = 3.14 * 2304 * 125
volume = 904320mm³
Answer:
969318 > 904320
then:
Glass A holds more liquid
What makes the value of x makes the equation true?
[tex]7x = 80 + 9x[/tex]
Answer:
[tex]x=-40[/tex]
Step-by-step explanation:
You need to find the value of x. To do this, you need to isolate the variable:
[tex]7x=80+9x[/tex]
Move the 80 to the left side of the equation using the reverse operation of '+', which is subtraction:
[tex]7x-80=80-80+9x\\\\7x-80=9x[/tex]
Now move the coefficient, 7x, to the right side of the equation using the reverse operation of addition (because it's a positive number), which is subtraction:
[tex]7x-7x-80=9x-7x\\\\-80=2x[/tex]
Now isolate the variable using reverse operations. The coefficient can also be seen as [tex]2*x[/tex] , so the opposite of multiplication is division. Divide by 2, remembering to do the same on both sides of the equation to keep it stable:
[tex]-\frac{80}{2}=\frac{2x}{2}\\\\ -40=x[/tex]
The value of x is -40.
:Done
Plz help ASAP PLZZZ!!!
Answer:
A. EF
Step-by-step explanation:
Answer:
EF
Step-by-step explanation:
The reason is because EF and BC are in the same plane
What angle does an arc 6.6cm in length subtends at the centre of a circle of radius 14cm. Use π = 22/7)
Answer:
STEP 1: Find the circumference:
Circumference = 2πr
Circumference = 2π(14) = 28π cm
............................................................................................
STEP 2: Find the length of the arc:
Length of the arc = 36/360 x 28π
Length of the arc = 8.8 cm
.............................................................................................
Answer: The length of the arc is 8.8 cm
............................................................................................
hope it helpssss
Mark it as brilliant answer plzzz
ФωФ
Answer:
27°
Step-by-step explanation:
arc length = circumference × fraction of circle
let x be the central angle, then
2πr × [tex]\frac{x}{360}[/tex] = 6.6
2 × [tex]\frac{22}{7}[/tex] × 14 × [tex]\frac{x}{360}[/tex] = 6.6
88 ×[tex]\frac{x}{360}[/tex] = 6.6 ( multiply both sides by 360 )
88x = 2376 ( divide both sides by 88 )
x = 27
Thus central angle is 27°
The value root of 46 of lies between which two consecutive integers
Answer:
6 and 7
Step-by-step explanation:
What does this mean? 20 points + brainleist! What other angle measures or side lengths can you determine using these added figures? List all the concepts and facts you use.
Step-by-step explanation:
The question has asked you to have another concepts or facts that can be used to find the other angles and measure of side length.
by looking the fig we can determine various sides and angles as all are joined together.
а
The marked price of a mobile is 25% above its cost price, When it is sold at a gain of
10%, the profit amounts to Rs 725. Find the marked price of the mobile.
Answer:
The marked price is Rs 823.86
Step-by-step explanation:
Let the cost price be Rs x. The marked price of the mobile is 25% above its cost price. Therefore:
The marked price = x + 25%(x) = 1 + 0.25x = 1.25x
When the mobile phone is sold at a gain of 10%. the profit is Rs 725, to find the cost price we use:
x + 10%(x) = 725
x + 0.1(x) = 725
1.1x = 725
x = 725/1.1 = 659.09
The cost price is Rs 659.09. Therefore the marked price is given as:
Marked price = 1.25x = 1.25(659.09) = 823.86
The marked price is Rs 823.86
What is 60 tens 1 tenths 83 hundredths and 150
thousandths?
Answer:
60.1508310
Step-by-step explanation:
60 tens=60.
1 tenth=1.0
83 hundredth=83.00
150 thousandth=150.000
Tenth=1 decimal place
Hundredth=2 decimal place
Thousandth=3 decimal place
150.000
83.00
1.0
1508310
60.1508310
X^2- 4x- 21 as a product of binominal factors
Answer:
( x-7) (x+3)
Step-by-step explanation:
X^2- 4x- 21
What two numbers multiply to -21 and add to -4
-7 * 3 = -21
-7+3 = -4
( x-7) (x+3)
I need helps will give you a good rating.
Answer: x = 3
Step-by-step explanation:
Sqrt(x+7) - 1 = x
Sqrt(x+7) = x + 1
x+7 = x^2 + 1
x = x^2 - 6
x=3
Answer both for brainiest, 40 points, and thanks with 5 stars
Answer:
17) #1 = 5
#2 = 49
18) Median= 50.5
Range = 88
Step-by-step explanation:
17) #1 - There are 5 3’s on the leaf side.
#2 - The number that is shown the most times is 49
18) There are 30 numbers in the stem and leaf plot, so the median falls between numbers 15 and 16. In this plot, those numbers are 50 and 51. So the median is 50.5.
The data ranges from 10 to 98. 98-10=88
There are approximately fifty five million metric tons of apples grown each year. It has been estimated that half of all the apples grown are eaten fresh. Approximately how many metric tons of apples are eaten fresh
Answer:
Twenty-seven and a half million metric tons of apples are eaten fresh.
Step-by-step explanation:
The amount of metric tons of apples that are eaten fresh is equal to the half of the total amount of metric tons. That is:
[tex]m = \frac{55,000,000\,m-ton}{2}[/tex]
[tex]m = 27,500,000\,m-ton[/tex]
Twenty-seven and a half million metric tons of apples are eaten fresh.
draw the graph of linear equation 5y = 3x + 18 on a cartesian plane. From the graph check weather (-2,4) is the solution of the linear equation or not PLS URGENT ANSWER
Answer:
The point (-2, 4) is not a solution of the linear equation, 5·y = 3·x + 18
Please find attached the required graph of the linear equation 5·y = 3·x + 18 written in the form y = 3/5·x + 18/5
Step-by-step explanation:
The given equation is 5·y = 3·x + 18, from which we have;
y = 3/5·x + 18/5
To draw the graph, we generate for vales of y corresponding to values of x as follows;
x, y
-6, 0
-5, 0.6
-4, 1.2
-3, 1.8
-2, 2.4
-1, 3
0, 3.6
1, 4.2
2, 4.8
3, 5.4
4, 6
5, 6.6
6, 7.2
7, 7.8
8, 8.4
9, 9
10, 9.6
11, 10.2
12, 10.8
13, 11.4
14, 12
15, 12.6
16, 13.2
Therefore, when y = 0, x = -6, when x = 0, y = 3.6, when x = -2, y = 2.4, when y = 4, x = -2, x = 6
Therefore, the point (-2, 4) is not a solution of the linear equation, 5·y = 3·x + 18
