Answer: The answer would be d. 3434
Step-by-step explanation:
Martin decided to buy 2 bags of grapes weighing 5 2/3 pounds each instead of the three bags weighing 4 1/5 pounds each because the bigger bags were on sale did he end up with more grapes or less grapes buying the bigger bags
Answer:
He gets less buying the two big bags
Step-by-step explanation:
[tex]x {2} = \frac{25}{144} [/tex]
I don't understand at all
Step-by-step explanation:
Hey, there!!
Let me explain you very simply, ok.
Here, according to the question,
[tex]{x}^{2} = \frac{25}{144} [/tex]
X is square so, which finding the value of x you must take it to the right side (in root form ). so,
[tex]x = \sqrt{ \frac{25}{144} } [/tex]
Now, as we know that,
sq.root of 25 = 5
sq.root of 144 = 12
Now, you write it as,
[tex]x = \sqrt{ \frac{ {5}^{2} }{ {12}^{2} } } [/tex]
[tex]or \: x = \sqrt{( { \frac{5}{12} )}^{2} } [/tex]
Now, square root and (5/12) square ( square root , square gets cancelled).
You will get as,
[tex]x = \frac{5}{12} [/tex]
And its your simplified answer.
Hope it helps...
three sphere of radius 4cm each fit inside a tube calculate the percentage of the tube.
Answer:
66.6% (see below)
Step-by-step explanation:
Each sphere 4/3[tex]\pi[/tex]r²=4/3[tex]\pi[/tex](4²)=268.08cm³
Assuming the tube is the same width and height as the three spheres,
V=[tex]\pi[/tex]r²h=[tex]\pi[/tex](4²)24=1206.37
The three spheres are 268.08*3=804.24cm³
The tube is 1206.37cm³
I’m not sure if your question is asking the percentage of the tube that’s filled, or the percentage that’s unfilled.
Filled: 804.24÷1206.37=0.66666=66.6%
Unfilled: 1206.37-804.24=402.13
402.13÷106.37=0.33333=33.3%
Answer:
Percentage of Tube Unfilled : 33 and 1/3%
Step-by-step explanation:
It's most likely that we want to calculate the percentage of the tube unfilled, as the tube itself wouldn't be provided otherwise. We can start by calculating the volume of the tube --- (1)
The volume of a cylinder is represented by πr²h. Substituting we would receive π(4)²h. h is represented by 3 times the diameter of each sphere, as it is aligned such. Diameter = 2 * r = 2 * 4 = 8, so h = 3 * 8 = 24. Therefore Tube Volume = π(4)²(24) = π(16)(24) = 384π.
Now let's solve for the volume of a sphere, multiplying by three to receive the total volume of all 3 spheres --- (2)
Volume of 1 Sphere : 4 / 3πr³ = 4 / 3π(4)³ = 4 / 3π * 64 = 256 / 3π
Volume of all 3 Spheres : 256 / 3π * 3 = 256π
And now the volume of the tube that is unfilled, will be 384π - 256π = 128π. The total volume of the tube is 384π, so the percentage of the unfilled tube will be 128π / 384π or 128 / 384 = 0.333333333 * 100 = 33.33333...%. Therefore the percentage of the tube that is not filled will be 33.33% approximately, or 33 and 1/3% in exact terms.
prove that points (2a,4a), (2a,6a), and (2a +√3a,5a) are the vertices of an equilateral triangle of side
Answer:
Let A (2a, 4a)
B(2a, 6a)
C (2a + sqrt (3a), 5a)
Side AC:
[tex]\sqrt{(2a+\sqrt{3a}-2a)^2+(5a-4a)^2 }=\sqrt{3a+a^2}[/tex]
Side BC:
[tex]\sqrt{(2a+\sqrt{3a}-2a)^2+(5a-6a)^2 }=\sqrt{3a+a^2}[/tex]
Hence AC = BC
It is an isoceles triangle.
Side AB:
[tex]\sqrt{(2a-2a)^2+(6a-4a)^2 }=\sqrt{2a^2}=2a[/tex]
It proves that the triangle is NOT an equilateral triangle.
given the midpoint and one endpoint find the other endpoint. Endpoint (2,-9) Midpoint (-2,-1)
A) (4,8)
B) (-4,-8)
C) (-6,7)
D) (6,-7)
Answer:
Step-by-step explanation:
(x + 2)/2 = -2
x + 2 = -4
x = -6
(y + (-9))/2 = -1
y - 9 = -2
y = 7
(-6, 7)
answer is C
What is f(a) in the given function 6x-5
Answer:
f(a) = 6a -5
Step-by-step explanation:
Assuming your function is ...
f(x) = 6x -5
The expression f(a) means you replace x with 'a' everywhere in the above function definition:
f(a) = 6a -5
Powers of 10 with positive exponents are:
less than 1
greater than 1
Answer:
greater than 1
Step-by-step explanation:
Answer:
greater than 1
Step-by-step explanation:
Number 8 I need help really bad
Answer:
See below.
Step-by-step explanation:
So we have the parent function:
[tex]f(x)=x^2[/tex]
And it was transformed into:
[tex]g(x)=(3x)^2+6[/tex]
First, the +6 at the very end simply tells us that the graph was shifted upwards by 6 units.
For the (3x), this is essentially saying that:
[tex]f(x)=x^2[/tex]
If we use 3x for x:
[tex]f(3x)=(3x)^2[/tex]
Therefore, we essentially multiplied the x variable by 3.
In other words, this is a horizontal compression by a factor of 3.
So, our transformations are:
1) 6 units upwards
2) Horizontal compression by 3
Marlena places a square rug on her living room floor, which is also a square. What area of her floor is NOT covered by the rug? A. 9 ft2 C. 63 ft2 B. 12 ft2 D. 81 ft2
Answer:B - 12ft2
Step-by-step explanation:
If the relationships below are given in the form (input, output), which pairing always describes a function?
Answer: B
(height of a building in feet, height of the building in inches)
Please help me with this question. This is urgent
Answer:
1000m (option A)
Step-by-step explanation:
[tex]10^k^-^3 = m \\=>\frac{10^k}{10^3} = m \\=> 10^k = 1000 m[/tex]
Ms. Rothrock loves to go shopping with Ms. Cluver and Mrs. Gosch. When they went to Target Ms. Rothrock bought shirts and jeans. Each shirt cost $13 and each pair of jeans cost $15. Ms. Rothrock decided to buy 4 shirts. She spent $82. How many pairs of jeans did she buy?
Answer:
She bought 2 pairs of jeans
Step-by-step explanation:
$82- $13-$13-$13-$13=$30
$15*2=$30
$30=$30
she bought 2 pairs of jeans
6.88888888889 as a fraction
Answer:
62/9
Step-by-step explanation:
.88888888 is 8/9
Multiply 9*6 to get the whole amount
9*6 = 54
Add 8 because that's the fractional amount.
54 + 8 = 62
So 62/9 will give you 6.8888888889
Simplify the expression where possible. (picture below)
Answer:
1/ [tex]x^{-8}[/tex]
Step-by-step explanation:
when there is two powers the correct method to solve is to multiply them so
4 * -2 = -8
evaluate the expression 32^((3)/(5))
Answer:
8
Step-by-step explanation:
3/5=0.6
32^0.6=8
Ans.8
Evaluate 5w-w/x when w=6 and x=2
Answer:
27
Step-by-step explanation:
5×6-(6/2)
=30-3
=27
Answer:
[tex] 27[/tex]
Step-by-step explanation:
[tex]5w - \frac{w}{x} = \frac{5w}{1} - \frac{w}{x} = \frac{5(6)}{1} - \frac{6}{2} = 30 - 3 = 27[/tex]
or
[tex] \frac{5(6) }{1} - \frac{6}{2} = \frac{30}{1} - \frac{6}{2} = \frac{60 - 6}{2} = \frac{54}{2} [/tex]
Which exponential equation correctly rewrites this logarithmic equation?
Answer:c
Step-by-step explanation:
This is how it should be when you are representing an exponential equation to a logarithmic equation
[tex]y=a^{x}[/tex]→log y base a =x
therefore the answer is c
The exponential equation which rewrites the logarithmic equation is given by 6ˣ = 18
What is Logarithm?The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm
The properties of Logarithm are :
log A + log B = log AB
log A − log B = log A/B
log Aⁿ = n log A
Given data ,
Let the logarithmic equation be represented as A
Now , the value of A is
log₆ 18 = x
From the properties of logarithm , we get
log Aⁿ = n log A
On simplifying , we get
6ˣ = 18
where the value of x = 1.61314
Hence , the exponential equation is 6ˣ = 18
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[tex](W^{8} )^{8}[/tex]
Answer:
w^64Step-by-step explanation:
[tex]\left(w^8\right)^8\\[/tex]
[tex]\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc}[/tex]
[tex]\left(w^8\right)^8=w^{8\times\:8}\\=w^6^4[/tex]
ux+ rx= w; solving for x
Answer:
[tex]x = \frac{w}{(u + r)} [/tex]
Step-by-step explanation:
ux + rx = w
x(u + r) = w
x = w/(u + r)
the dash '/' represents fraction
The required solution is x = w/(u + r).
It is required to find the value of x.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Given:
The given equation is
u x + r x = w
Taking common x we get,
x(u + r) = w
Divide (u + r) on both sides we get,
x = w/(u + r)
Therefore, the required solution is x = w/(u + r).
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Rewrite the equation so that it does not have fractions 2/3x-4=5/6
Answer:
.6x - 4 = .83
Step-by-step explanation:
estimate the equation 12+ 19.61
QUESTION:
QUESTION:estimate the equation 12+19.61.
QUESTION:estimate the equation 12+19.61.Answer:
QUESTION:estimate the equation 12+19.61.Answer:12+19.61 =31.61.
1x + 2 = Ox + 5
Solve the equation.
Answer:
x =-3
Step-by-step explanation:
1x + 2 = 0x + 5
hence 0x simplifies x
1x-0x = 2-5
x = -3
An elm tree is 3 and one-half times as tall as an apple tree. The apple tree is 10 and two-thirds feet tall. How tall is the elm tree?
Answer:
The elm tree is 40 5/6 inches tall
Step-by-step explanation:
Let
Tallness of the apple tree = x
Tallness of the elm tree= 3 1/2x
Apple tree = 10 2/3 feet tall
Elm tree = 3 1/2x
Where x= 10 2/3
Elm = 3 1/2 (10 2/3)
= 7/2(35/3)
= 7*35 / 2*3
= 245 / 6
= 40 5/6 inches tall
The elm tree is 40 5/6 inches tall
The ideal length of a particular metal rod is 30.5 cm. The measured length may vary from the ideal length by at most 0.015 cm. What is the range of acceptable lengths for the rod.
Answer:
The range can be expressed as: [tex]30.485\leq x\leq 30.515[/tex]
which agrees with answer D
Step-by-step explanation:
If the tolerance is 0.015 cm for the final rod, then the range of acceptable lengths for the rod is between 30.5 - 0.05 and 30.5 + 0.015 . That is between
30.485 cm and 30.515 cm
Which can be expressed as: [tex]30.485\leq x\leq 30.515[/tex]
Question 7. Ezequiel's Biology marks are 8.3, 6.8 and 9.4 out of 10. His final grade in Biology is the mean of these three marks a Calculate Ezequiel's final grade in Biology. Ezequiel wrote the three marks correct to the nearest unit to find his final grade in Biology.
Answer:
Ezequiel's final grade is 8
Step-by-step explanation:
The average (mean) of Ezequiel's grade is:
[tex]\frac{(8.3+6.8+9.4)}{3} \approx 8.16666[/tex]
which rounded to the nearest unit is 8.
Answer:
It would be 8 :)
Step-by-step explanation:
55 176 539 1628 in the sequence above each rem after the first is determined by multiplying by x and then adding y. If x and y are each greater than zero and if they are integers than what does the term x+y equals?
Answer: 14
Step-by-step explanation:
Given the sequence : 55 176 539 1628
Each number after the first is derived by multiplying by x and then adding y;
If x and y are > 0 and they are integers.
Taking 55 and 176:
176 = 55*x + y
539 = 176*x + y
55x + y = 176 - - - (1)
176x + y = 539 - - (2)
From (1) y = 176 - 55x
Substitute y = 176 - 55x into (2)
176x + 176 - 55x = 539
121x = 539 - 176
121x = 363
x = 363 / 121
x = 3
Put x = 3 in y = 176 - 55x
y = 176 - 55(3)
y = 176 - 165
y = 11
x = 3, y = 11
x + y = 3 + 11 = 14
The weight of the cardinal ( in ounces ) is 0.6x+11 after its x ounces of bird seed. How much does it weigh after it eats 2 ounces of bird seed?
Answer:
12.2 oz
Step-by-step explanation:
you would just plug in 2 for x so you get 0.6(2)+11 and which you simplify to get 1.2+11 and then you would get 12.2 as the weight
Distribute: -3 (2x-4)
Answer:
24
Step-by-step explanation:
2x-4= -8×-3= 24
When you look at the P.E.M.D.A.S. method you have to do what's in the PERENTESSE first so that means 2x-4 is the first thing that I are solving and you get -8 now you have to multiply -8 by -3 then you get 24
is -3 a whole number
Answer:
No it is not -3 is an integers
Answer:
no: -3 is an integer
Step-by-step explanation:
Iris has 120 songs on her playlist. each week, she downloads 4 new songs. Write an expression to show the total number of songs on Iris's playlist after 'w' weeks.. (Help please!)
The expression that shows the total number of songs on Iris playlist is 120 + 4w
A linear expression is an expression that has only one variable. The single variable is raised to the power of 1. An example of a linear expression is x + 10
Iris already has 120 songs on her playlist. She increases her playlist every week by four songs.
This means that each week, her playlist increases by 4. This can be represented with the expression : 4 x w = 4w
Where w represents the number of weeks.
In week 10, her playlist increases by: 4 x 1 = 4 songs
In week 10, her playlist increases by : 4 x 10 = 40 songs
But Iris already has 120 songs
This can be represented with the expression 120 + 4w
After 1 week, the total songs she would have is 120 + 4 = 124 songs
After 10 weeks, the total songs she would have is 120 + 40 = 160 songs
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