Answer:
The cost of 1 kg is AED1.49
Step-by-step explanation:
Given
[tex]Cost = AED7.75[/tex]
[tex]Weight = 5.2kg[/tex]
Required
Determine the cost of 1 kg grape
To do this, we simply divide the cost of 5.2kg by 5.2kg.
i.e.
[tex]Unit\ Cost = \frac{AED7.75}{5.2kg}[/tex]
[tex]Unit\ Cost = AED1.49/kg[/tex] -- approximated
So, the cost of 1 kg is AED1.49
The side of the base of a square pyramid is increasing at a rate of 666 meters per minute and the height of the pyramid is decreasing at a rate of 111 meter per minute. At a certain instant, the base side is 333 meters and the height is 999 meters. What is the rate of change of the volume of the pyramid at that instant (in cubic meters per minute)
Answer:
[tex]105m^3/min[/tex]
Step-by-step explanation:
We are given that
Base side of square pyramid, a=3 m
Height of square pyramid, h=9m
[tex]\frac{da}{dt}=6m/min[/tex]
[tex]\frac{dh}{dt}=-1/min[/tex]
We have to find the rate of change of the volume of the pyramid at that instant.
Volume of square pyramid, V=[tex]\frac{1}{3}a^2h[/tex]
Differentiate w.r.t t
[tex]\frac{dV}{dt}=\frac{1}{3}(2ah\frac{da}{dt}+a^2\frac{dh}{dt})[/tex]
Substitute the values
[tex]\frac{dV}{dt}=\frac{1}{3}(2(3)(9)(6)+(3^2)(-1)[/tex]
[tex]\frac{dV}{dt}=105m^3/min[/tex]
Hence, the rate of change of the volume of the pyramid at that instant=[tex]105m^3/min[/tex]
<) Madison is organizing a 10K race. She is ordering cases of bottled water for the runners.
Each case contains 20 bottles of water. Madison wants to know the number of bottles, b,
she will receive based on the number of cases she orders, c.
) The variable b is the
dependent
variable.
The variable c is the
independent
variable.
) Write an equation that gives the total number of bottles, b, when Madison orders c cases.
+
=)
C
b
20
Answer:
b= 20 • c
b is equalled to how many bottles, which c is equalled to how many cases, since there is no number for how many cases then is just the variable "c".
The equation representing the number of bottles is c = 20b
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x - 5 = 16 is an equation.
Given that, Madison ordered c cases of the bottle with each case having 20 bottles,
So, for c cases she will have 20b bottles.
The equation is :-
c = 20b
Here,
c is dependent variable
b is independent variable
Hence, the equation representing the number of bottles is c = 20b
Learn more about equations, click;
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What is the solution to this inequality? 7x +18 > -3
x<-3
x<3
x>-3
x>3
Step-by-step explanation:
7x + 18 > -37x > -3 -187x > -21x > -21÷7x > -3MARK ME AS BRAINLISTPLZ FOLLOW ME8.44 = 34.6 + 4h/5
Helpppppp!!!
Answer:
h = -32.7
Step-by-step explanation:
8.44 = 34.6 + 4h / 5
-26.16 = 4h/5 (First off we subtract 34.6 from each side, to make it easier to solve)
-26.16 = 0.8h (Then, we turn 4h/5 into 0.8h since 4h / 5 = (4/5)h.)
-32.7 = h (Divide both sides by 0.8..)
h = -32.7 (And voila!! Your answer is right there!)
One last stop before you head home. You and your friends are worn out, but you can’t help but stop for a candy apple to eat on the ride home from Snack Centra. Yum! You would like to take some home to your family, so what’s the best deal? You can purchase 5 apples for $6.25 or 8 apples for $9.25. What’s the best way to spend your last few bucks?
Answer:
8 apples for 9.25
Step-by-step explanation:
because 6.25 divided by 5 is 1.25, making each apple $1.25. and 9.25 divided by 8 is rounded to 1.16, making each apple cost $1.16.
Bob has 17/23 left of a wall to demolish. Each swing of a sledgehammer brings down an additional 17/161 of the wall. How many more swings will it take him to bring down all of the wall?
PLEASE PLEASE HELPJeans are on sale for 40% off. The jeans Justin wants to buy are marked with an original price of $80. What is the
Total cost, in dollars, for a pair of jeans at the sale price, including a 7% tax?
Answer:
$51.36
Step-by-step explanation:
Answer:
Need help with this plz
Answer:
(a) 3x+28+5x+52+2x-10=180 (∠ sum of Δ)
10x+70=180
10x=110
x=11
(b) ∠C = 2x-10
= 2(11)-10
= 12°
Help meh plsssssssssssssssssssssss
Answer:
the first one is 6 ,9, 13.5
Step-by-step explanation:
Sam invested $7500, some at 7% interest and the rest at 10%. How much did he invest at each rate if he received $570.00 in interest in one year?
Answer:
.
Step-by-step explanation:
Why was the invention of the mechanical reaper important?
A. The reaper separated cotton fibers from cotton seed much faster than the manual method used earlier.
B. The reaper made it possible to communicate very quickly across a wire.
C. The reaper replaced the old method of sewing clothes by hand.
D. The reaper could cut grain much faster than the older method of harvesting by hand with a scythe.
Answer:
A.) The reaper separated cotton fibers from cotton seed much faster than the manual
method used earlier.
B.) The reaper made it possible to communicate very quickly across a wire.
C.) The reaper replaced the old method of sewing clothes by hand.
D.) The reaper could cut grain much faster than the older method of harvesting by hand
with a scythe.Step-by-step explanation:
If an object goes from 50 mph to 30 mph in 5 seconds, what is its acceleration?
WILL MARK BRAINLIEST!
Answer:
-4 mph/sec
Step-by-step explanation:
Answer: -4 mph/s
Step-by-step explanation:
Remember the formula:
FinalVelocity = InitialVelocity + (acceleration)(time)
50 = 30 + (a)(5)
a = (30 - 50)/5
a = -4 mph/s
I need help. Please check this problem for accuracy I turn it in tomorrow.
Answer:
you are 100% correct (^_^)
Step-by-step explanation:
the square of a number plus three times the number is 70. find the numbers.
Answer:
Step-by-step explanation:
The equation for that is
[tex]x^2+3x=70[/tex]
If we subtract over the 70, we have a quadratic that we can factor to solve for the values of x that will make that equation true.
[tex]x^2+3x-70=0[/tex]
Now we need the factors of 70 that will either add or subtract to give us the linear term of 3. The factors of 70 that will work are 10 and 7. 10 times 7 is 70, and 10 - 7 = 3:
[tex]x^2+10x-7x-70=0[/tex] and now we will factor by grouping:
[tex](x^2+10x)-(7x-70)=0[/tex] and factor out what's common:
[tex]x(x+10)-7(x+10)=0[/tex]
The factor (x + 10) is common, so we will now factor that out:
[tex](x+10)(x-7)=0[/tex]
By the Zero Product Property, either x + 10 = 0 or x - 7 = 0, so x = -10 or 7
Those are the 2 numbers that will work.
[tex](-10)^2+3(-10)=70[/tex] simplifies to
100 - 30 which does in fact equal 70. OR
[tex](7)^2+3(7)=70[/tex] which simplifies to
49 + 21 which also equals 70.
So you're done!
The values of the unknown number is 7 or - 10
The given expression from words to algebra;
let the unknown number = n
the square of the number = n²
three times the number = 3n
n² + 3n = 70
To find:
the values of nThe values of n is calculated as follows;
[tex]n^2 + 3n = 70\\\\n^2 + 3n - 70 = 0\\\\factorize \ the \ equation;\\\\n^2 + 10n - 7n - 70 = 0\\\\n(n + 10) - 7(n + 10) = 0\\\\(n-7)(n+ 10) = 0\\\\n = 7 \ or \ - 10[/tex]
Thus, the values of the unknown number is 7 or - 10
Learn more here: https://brainly.com/question/16889590
What is unknown number in proportion?
Answer:
x = 2.4/20= 0.12
Step-by-step explanation:
Multiply both sides by 4 to eliminate the fraction 1/4:
1 20
--- = ------
x 2.4
Next, we cross-multiply. This eliminates the fractions:
20x = 2.4
Dividing both sides by 20 results in an equation for x: x = 2.4/20= 0.12
3- 8 + 4(3x + 3)
+2y
Thanks!!!
Answer:
7+12x+2y
Step-by-step explanation:
3-8+(12x + 12)+2y=
-5+(12x +12)+2y=
7+12x+2y
Answer:
Simplified, your answer should be 12x + 2y + 7
Step-by-step explanation:
Hope this helps! :)
Have a nice day! ♥
twelve men can build a house in 5 days so 4 men can build the same project in how many days?
Answer:
15 days
Step-by-step explanation:
Answer:
15 days
Step-by-step explanation:
as
12×5/4
=15
hope it helps you
A triangle has the length of 8.3 and a height of 6.4. What is the area?
Answer:
Formula Bh x 1/2, so 26.56 is your answer
Multiply 8.3 x 6.4 to get 53.12 then divide it by 2 which is 26.56
Answer:
26.56
Step-by-step explanation:
Tom had 3 times as many pencils than Max. Tom then gave 24 pencils to Max and they now had the same amount of pencils. How many pencils did they have altogether?
Answer:
24×3=72
Sooo the answer 72✨
Can someone explain this to me? I really need help. Thx!
Answer:
3 to the 4th power.
Step-by-step explanation:
Basically, here 3 to the 3rd power is 27. Multiplying it by 3 is only adding another power, making it 81, which is the same answer to 3 to the 4th power if that makes sense.
Write 73/22 as a decimal.
Answer:
the answer of decimal is 331.82
Escribe el término "punto, línea, plano o superficie" según corresponda a la descripción a la que se hace referencia.
La pantalla de un cine.
Una cuerda tensa.
La punta de un lápiz
Una hoja de papel
La antena de un automóvil
La marca en la piel después de aplicar una vacuna
Un campo de fútbol
El doblez de un folder
La percepción de una estrella en el cielo
El cristal de una ventana
Punto:
La punta de un lápiz.Línea:
Una cuerda tensa.La antena de un automóvil.Plano:
La pantalla de un cine.Una hoja de papel.El cristal de una ventana.Superficie:
La marca en la piel después de aplicar una vacuna.Un campo de fútbol.El doblez de un folder.GeometríaEl punto es una entidad que tiene una posición, pero no tiene dimensiones (largo, ancho o alto). Por lo tanto, es de dimensión cero, es decir, adimensional. Contiene el significado de lugar, de existencia, pero no tiene elementos mensurables, es decir, no se puede medir.
En contextos geométricos, una línea es un cuerpo unidimensional de forma y longitud arbitrarias. Todos los objetos unidimensionales, como cuerdas, líneas rectas, mitades y perímetros, son líneas. Se cree que una línea se forma cuando un punto de dimensión cero se mueve en el espacio y forma una línea infinita de múltiples puntos.
Intuitivamente, el concepto de plano se puede describir como una superficie perfectamente recta (es decir, sin curvatura ni cavidad) y lisa, que tiene volumen cero y ocupa solo las dos dimensiones del espacio tridimensional.
La superficie de un objeto se refiere a una superficie bidimensional, que separa el objeto de otros objetos y del entorno. En topología, la superficie es una dimensión bidimensional.
Aprenda más sobre geometría en https://brainly.com/question/4637858
MATRIX X IS SHOWN BELOW
Answer:
4
Step-by-step explanation: thast it
Answer: 40
Step-by-step explanation:
Q.1 Thee are five girls and three boys in a group. The teacher chose one person at random. How could the teacher make a random choice?
Q.2 A random number generator generates a whole number in the range 1 to 100. What is the probability it is 40 or more if the number is greater than 25?
Answer:
Q1: She can write names of each Student on separate Papers and choose one Randomly, the Result may be 5:3 Girls to Boys
Q2: 75/100
According to the Centers for Disease Control, about 18% of adolescents age 12-19 are obese. Suppose we take a random sample of 30 adolescents and find the proportion in our sample who are obese. We record this value. Now, repeat this many more times so that we have a great many sample proportions drawn from this population. Suppose we make a dotplot of the sample proportions. Would the dotplot be a visualization of the population distribution, the distribution of a sample, or the sampling distribution of proportions?
Answer:
the sampling distribution of proportions
Step-by-step explanation:
A sample is a small group of observations which is a subset of a larger population containing the entire set of observations. The proportion of success or measure of a certain statistic from the sample, (in the scenario above, the proportion of obese observations on our sample) gives us the sample proportion. Repeated measurement of the sample proportion of this sample whose size is large enough (usually greater Than 30) in other to obtain a range of different proportions for the sample is called the sampling distribution of proportion. Hence, creating a visual plot such as a dot plot of these repeated measurement of the proportion of obese observations gives the sampling distribution of proportions
The length of the base of a right triangle is 18 cm and a height is 9 cm what is the area of the triangle
carmen is taller than ramon but shorter than ricardo. carmen is shorter than ryan who is taller than ricardo. who is the tallest? who is the shortest?
Answer:
ramon is the shortest
ryan is the tallest
carmen is taller than ramon
carmen is shorter than ricardo
carmen is shorter than ryan
ryan is taller than ricardo
The measure of an angle is 44°. What is the measure of its complementary angle?
12-x
6
x+3
4
Solve for x
Step-by-step explanation:
x = 0 (I don't know what the result of this operation is and I need it to know the x but that's what I can do)
Complete the table for
y = x/4 -1
Answer:
X Y
0 -1
2 -0.5
4 0
6 0.5
8 1
Step-by-step explanation:
I hope i got that right