The complete and simplified answer to the question what is 7/9 of 45 is 35.
The number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.
Any number can be converted to fraction if you use 1 as the denominator:
45 / 1
So now that we've converted 45 into a fraction, to work out the answer, we put the fraction 7/9 side by side with our new fraction, 45/1 so that we can multiply those two fractions.
All we need to do is convert the whole number to a fraction and then multiply the numerators and denominators.
7 × 45 / 9 × 1 = 315 / 9
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 315 and 9 is 9.
We can now divide both the new numerator and the denominator by 9 to simplify this fraction down to its lowest terms.
315 / 9 = 35
9 / 9 = 1
When we put that together, we can see that our complete answer is:
35 / 1
The complete and simplified answer to the question what is 7/9 of 45 is:
35
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A 30 pack of Flaming Hot Cheetos cost $10.82 at
Costco. A 50 pack of Flaming Hot Cheetos cost
$17.25.
a) Which is the better buy? (You are trying to
compare the cost of a 30 pack and 50 pack of
chips. This is not possible without finding
the unit rate.)
b) What is the difference between the unit
prices? (You need to use the information
from part a to answer this question.)
Answer:
50 pack
[tex]\$0.01[/tex]
Step-by-step explanation:
Number of packs at Costco = 30
Cost of 30 packs at Costco = $10.82
Number of packs at the other place = 50
Cost of 50 packs = $17.25
Cost of one pack when 30 packs are bought
[tex]\dfrac{10.82}{30}=\$0.36[/tex]
Cost of one pack when 50 packs are bought
[tex]\dfrac{17.25}{50}=\$0.35[/tex]
It is better to buy the 50 pack.
Difference in the unit prices = [tex]0.36-0.35=\$0.01[/tex].
What is the difference in a SSS Postulate (side-side-side) and SAS Postulate (Side-angle-side)? How do i know which one its going to be? Thanks!!!
with the radius of 2 Find the volume of the sphere. Round your answer to the nearest tenth. Use 3.14 for it. The volume of the sphere is about in?
Answer:
Solution given:
radius[r]=2in
π=3.14
we have
volume of sphere=[tex] \frac{4}{3} \pi {r}^{3} [/tex]=[tex] \frac{4}{3} ×3.14× {2}^{3} [/tex]=33.5in³is your answer.
Let's see
V=4/3πr³V=4/3π(2)³V=4/3π(8)V=32π/333.5in³I need this done, please
Is 8 a solution to the equation 3(x-6)=3x/4?
Explain your answer
John has 516.071 more points than Sam. Sam has 4092.1 points. How many points does John have? (Do not round.) *
Answer:
John has 4608.171 points
Step-by-step explanation:
4092.1 + 516.071 = 4608.171
Hope this helps
Have a nice day :)
Each side of a circumscribed equilateral triangle is 16 meters. find the radius if the circle
pls help figure out part c, part e, and part f
Plz helpp I’m bad at math
Answer:
40
Step-by-step explanation:
because a straight line is 180 degrees so 140 plus 40 equals 180
Answer:
40
Step-by-step explanation:
straight line is 180 degrees
180=140+x
140+40=180
When point A(-4,2) ir rotated 90 degrees
counterclockwise, where is the image of
A?
(-2,-4)
(-4,-2)
Answer:
(-2, -4)
Step-by-step explanation:
Given the coordinate (x, y), if rotated 90degrees, counterclockwise, the resulting coordinate will be (-y, x)
For the coordinate (-4, 2)
When rotated 0 degrees counterclockwise, the resulting coordinate will be at (-2, -4)
Note that the coordinates were switched and the x negated
PLEASE HELP!!
Also the last option is
4 units left and 3 units down
Answer:
B
Step-by-step explanation:
A rectangular prism has a volume of 729 ft3. The length width and height are all the same. What is the is the length of each side of the prism?
Answer:
9 ft
Step-by-step explanation:
As length, width and height are same, then it is a square prism / cube
Volume of prism = 729 ft³
side³ = 729
side³ = 9³
Side = 9 ft
Yalll listen i was at a party with friends in the ghetto and the ice crean truck came and they had the hot cheetos with cheese and chill poured on it ....it was bussin bussin
Answer:
wowo cool
Step-by-step explanation:
Answer:
sounds cheeesyyy
Step-by-step explanation:
53+2444= ??????? HELP I D K THE ANSWER
Answer:
2497
Step-by-step explanation:
Answer:
2497
Step-by-step explanation:
53 + 2444
= 0053 + 2444
= 2497
Which of the following statements are true?
A) 3 lbs of sugar is sugar is required to make 60 muffins.
B) 120 lbs of sugar is required to make 6 muffins.
C) 0 lbs of sugars required to make 0 muffins.
D) The maximum number of muffins that can be made is 220
Answer:
C
Step-by-step explanation:
Because 0 lbs of sugar is required to make 0 muffins
I hope this is right
answer pls for point
Answer:
x= 4 , y= 1
Step-by-step explanation:
confirm the answer was correct
Help plsssssss:)))))))
Answer:
x = -14
Steps:
Rewrite the equation as -8 = 6+x
Then move all terms not containing x to the right side of the equation.
x = -8-6
Afterwords subtrack.
x = -14.
hope this helps :)
I need help with this question ( see image). Please show workings.
Answer:
(A) 236°
Step-by-step explanation:
270° - 34° = 236°
Can someone please help me with math.
pls help me with this problem
Answer:
Angle A: 90
Angle B: 48
Angle C: 42
Side length A (Hypotinuse): 23.9
SIde length B (Opposite): 17.8
Side length C (Adjacent): 16
Step-by-step explanation:
https://www.calculator.net/triangle-calculator.html?vc=42&vx=&vy=&va=90&vz=16&vb=&angleunits=d&x=0&y=0
Pls help ASAP I DONT have time
Answer:
B: y = 3x + 6
22
Consider the expression below.
3x - (2y + 2)
Evaluate the expression when x = 0.02, y = 0.1, and z = 0.3.
NEED HELP ASAP HELPING A FRIEND
Answer:
Step-by-step explanation:
So it 22
Answer: 0.007
Step-by-step explanation:
The population of bacteria doubles every 6 hours. By how much will it grow in three days. Write the equation
Answer:
Step-by-step explanation:
let x be the population
so we have ,
2x= 6h
?= 3 days or 3×24h
by cross multiplication we have
2x× 72h= 6h×?
?= 2x×72/6 = 24x
So, in three days the bacteria will b 24 times current population.
PLZS HELP NEED BY TODAY!!
Answer:
20°
Step-by-step explanation:
ok so if 40 degrees is on one side its also on the side parallel from it
a straight line = 180 degrees
so 180 - 40 = 140
so 7x =140
we now divide 7 on both sides and get x=20 because the 7 cancels out
180 -40 =140
7x = 140
7x/7 =140/7
x=20
Hope I helped?
A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 92 feet from a building and 106 feet from the top of the building. What is the height h of the building? Round your answer to the nearest tenth.
Answer:
55.64
Step-by-step explanation:
The range finder is 92 feet from the building and 106 feet from the top of the building i.e. hypotheses
We will use the Pythagorean theorem:
x^2 = 106^2 - 92^2
= 11,236 - 8,464
= 2,772
= √2,772
x = 52.64978632
The height of the building:
h = x + 3
= 52.64978632 + 3
= 55.64978632
or
≈ 55.64 feet
Step-by-step explanation:
the answer to the nearest is 55.64
Find the derivative of
y= 1/(3x^3)
Answer:
[tex]\displaystyle y' = \frac{-1}{x^4}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \frac{1}{3x^3}[/tex]
Step 2: Differentiate
Rewrite: [tex]\displaystyle y = \frac{x^{-3}}{3}[/tex]Derivative Property [Multiplied Constant]: [tex]\displaystyle y' = \frac{1}{3} \frac{d}{dx}[x^{-3}][/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{3}(-3x^{-4})[/tex]Simplify: [tex]\displaystyle y' = \frac{-1}{x^4}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Find a unit vector in the direction of the given vector.
v = 9i − 6j
Given:
The given vector is:
[tex]v=9i-6j[/tex]
To find:
The unit vector in the direction of the given vector.
Solution:
If a vector is [tex]v=ai+bj[/tex], then the unit vector in the direction of the this vector is
[tex]\hat v=\dfrac{v}{|v|}[/tex]
Where, [tex]|v|=\sqrt{a^2+b^2[/tex]
We have,
[tex]v=9i-6j[/tex]
Here, [tex]a=9[/tex] and [tex]b=-6[/tex]. So,
[tex]|v|=\sqrt{9^2+(-6)^2}[/tex]
[tex]|v|=\sqrt{81+36}[/tex]
[tex]|v|=\sqrt{117}[/tex]
[tex]|v|=3\sqrt{13}[/tex]
Now, the unit vector in the direction of the given vector is:
[tex]\hat v=\dfrac{9i-6j}{3\sqrt{13}}[/tex]
[tex]\hat v=\dfrac{9i}{3\sqrt{13}}-\dfrac{6j}{3\sqrt{13}}[/tex]
[tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex]
Therefore, the required unit vector is [tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex].
Can someone please help me?
Answer:
scalene
Step-by-step explanation:
On number line below, length AB =? A16 B45
Answer:29
Step-by-step explanation:
d[AB]=|45-16|=29
A number line is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
The length AB is 29.
AB = 29 is our answer.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
A is at point 16.
B is at point 45.
Now,
The distance between A and B.
= B - A
= 45 - 16
= 29
Thus,
The length AB is 29.
AB = 29 is our answer.
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Which expression represents the perimeter of the figure below? *
2x + 4 y
w + 2x + 4y
w + x + y
2w + 2x + 4y
Step-by-step explanation:
Perimeter of figure =
[tex]w + x + x + y + y + y + y \\ = 1 \times w + 2 \times x + 4 \times y \\ = w + 2x + 4y[/tex]