Answer:
1/4
Step-by-step explanation:
Divide the area by the length and you will find the width.
Which fractions are equivalent to 9 6
Answer:
2/3
Step-by-step explanation:
The fractions which are equivalent to the fraction [tex]\frac{9}{6}[/tex] from the given options are [tex]\frac{3}{2}[/tex] and [tex]\frac{12}{8}[/tex], which are options (A) and (C).
Given a fraction [tex]\frac{9}{6}[/tex].
It is required to find the fraction which is equivalent to the given fraction.
If two fractions are equivalent, then they will be proportional.
The fraction [tex]\frac{9}{6}[/tex] can be written as [tex]\frac{3*3}{2*3}[/tex].
Here, when 3 gets canceled, the resulting fraction is [tex]\frac{3}{2}[/tex].
So, [tex]\frac{3}{2}[/tex] is equivalent to [tex]\frac{9}{6}[/tex].
And, [tex]\frac{3}{2}[/tex] is the simplest fraction that cannot be simplified further.
So, any number multiplied by it both on the numerator and denominator will be an equivalent fraction.
Multiplying both the numerator and denominator of the fraction [tex]\frac{3}{2}[/tex] by 4, the resulting fraction is [tex]\frac{12}{8}[/tex].
Hence, the correct options are (A) and (C).
Learn more about Fractions here :
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The complete question is given below.
Which fractions are equivalent to [tex]\frac{9}{6}[/tex]?
(A) [tex]\frac{3}{2}[/tex]
(B) [tex]\frac{4}{5}[/tex]
(C) [tex]\frac{12}{8}[/tex]
(D) [tex]\frac{10}{8}[/tex]
An artist mixes colors for a painting. She mixes 1.5 ounces of blue with 2.5 ounces of yellow to get the perfect shade of green. If she determines that she will need 12 ounces of green, how much yellow paint will she need?
Answer:
4.5 ounces of yellow and 7.5 ounces of blue will create 12 ounces of the perfect shade of green.
Step-by-step explanation:
1.5 + 2.5 = 4 ounces.
Multiply by 3
4.5 + 7.5 = 12 ounces
So, she needs 4.5 ounces of yellow.
Do not really understand this question anybody help ?
A cylindrical container can hold 4 quarts of water if its radius and height are both tripled how much water can it hold?
Answer:
108quartz
Step-by-step explanation:
Volume of a cylinder = πr²h
r is the radius
h is the height
If A cylindrical container can hold 4 quarts of water, then;
4 = πr²h ...... 1
Let the volume be x of the radius and height at tripled
h1 = 3h
r1 = 3r
X = πr1²h1
X = π(3r)²(3h)
X = 9πr²(3h)
X = 27πr²h .... 2
Divide 1 by 2
4/x = πr²h/27πr²h
4/x = 1/27
Cross multiply
x = 4×27
x = 108
Hence the container can hold 108quartz of water of the radius and height was tripled.
The perimeter of a triangle is 69Cm. Side a is 5cm shorter then side b. side c is 5 more than twice side b. Find the length of each side
Step-by-step explanation:
Given parameters:
Perimeter of triangle = 69cm;
Unknown:
Length of each side = ?
Solution:
Side a is 5cm shorter than side b;
b = a + 5 ----- i
Side c is 5 more than twice side b;
c = 2b + 5
The three sides of triangle are a, b and c;
Perimeter is the sum of sides of a body;
a + b + c = 69
From i;
a = b - 5
b
c = 2b + 5
so;
b - 5 + b + 2b + 5 = 69
4b = 69
b = 17.25cm
a = b -5 = 17.25 - 5 = 12.25cm
c = 2(17.25) + 5 = 39.5cm
given the function f(x)=2x^3-7x^2-5x+1 find f(-2)
Answer:
-33
Step-by-step explanation:
2(-2)^3 -7(-2)^2 -5(-2) +1
-16 -28 +11
= -33
In right ∆ABC with m∠B=30°, AC = 4.
Find AB, HB and Area of triangle ABC
Answer:
hb=4√3
Step-by-step explanation:
Answer:
AB = 8, HB = 6, Area of ∆ABC = 8[tex]\sqrt{3}[/tex], Perimeter of ∆ABC = 12 + 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
To find AB:
∆ABC is an 30,60,90∆
Using the theorem, you can find AB = 2AC = 2*4 = 8
AB = 8
To find HB:
You need to find AH to subtract from AB
Construct CH, a perpendicular bisector to side AB
From before you can put together that m∠CAB = 60°
∆ACH is an 30,60,90∆
Using this method again, AH = AC/2 = 4/2 = 2
Then you subtract AH from AB = 8-2 = 6
HB = 6
To find the area of ∆ABC:
You use the (base*height)/2 method
base = AB = 8
to find the height, CH, you need to use the Pytha Theorem
and get [tex]AH^{2}+CH^{2}=AC^{2}[/tex]
then substitute, and get [tex]2^{2} + CH^{2} = 4^{2}[/tex]
calculate and get CH = 2[tex]\sqrt{3}[/tex]
then the height = CH = 2[tex]\sqrt{3}[/tex]
solve the area and get
Area of ∆ABC = 8[tex]\sqrt{3}[/tex]
(optional perimeter)
to find perimeter of ∆ABC:
you add AC + CB + AB
you find CB by using opposite to 30°
CB = CH*2 = 2[tex]\sqrt{3}[/tex]*2 = 4[tex]\sqrt3}[/tex]
so AC + CB + AB = 4 + 4[tex]\sqrt3}[/tex] + 8
Perimeter of ∆ABC = 12 + 4[tex]\sqrt3}[/tex]
Hope this helps!!
which decimal has the greatest value? 8.21, 82.19,82.09, 8.912
Answer:
82.19
Step-by-step explanation:
Solve for y
3(7y + 4) = 15y + 6y +4+8
Answer: the are no values of y that make it true
Step-by-step explanation: no solution
Answer:
-4/7
Step-by-step explanation:
a PetSmart your dad is trying to decide which type of dog food to purchase. if he is solely trying to find the product with the cheapest cost per ounce, which item should be purchase? (these prices are accurate!)
There are 3 times as many books in the town library as there are on the school library. The town library has 2,676 books. How many books are in the school library?
Answer:
892 Books.
Step-by-step explanation:
It says there are three times as many books in the town library than the school, which means you would have to divide the amount of books in the town library by three.
Which expression would be easier to simplify if you used the associative property to change the grouping.
c? i think its c (Sorry if iim wrong)
Answer:
The answer is D
Step-by-step explanation:
The slope of the line that passes through the points (0, 3) and (5, 13) Is
Answer:
The slope would be 2
Step-by-step explanation:
8x2+4x−3 is divided by 2x−1
I hope it is helpful for you
Answer:
the answer is 1
Step-by-step explanation: i took the test on k12 hope this helps
pls help thx , I’m behind ;(
Brandon is on one side of a river that is 70 m wide and wants to reach a point 250 m downstream on the opposite side as quickly as possible by swimming diagonally across the river and then running the rest of the way. Find the minimum amount of time if Brandon can swim at 2 m/s and run at 6 m/s.
Answer:
The minimum amount of time required is 74.7 seconds.
Step-by-step explanation:
The question can be solved in two cases:
i. diagonal swimming of Brandon across the river
ii. Running of the rest distance by Brandon.
Case I: Since he would swim diagonally across the river, then the diagonal distance can be determined by applying appropriate trigonometric function.
Let the diagonal be represented by x, an included angle θ = [tex]45^{o}[/tex] is formed at his starting point (angle formed by the diagonal and the length of the width of the river).
So that:
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos [tex]45^{o}[/tex] = [tex]\frac{70}{x}[/tex]
x = [tex]\frac{70}{Cos 45^{o} }[/tex]
= 98.995
x = 99 m
The diagonal distance covered by Brandon is 99 m.
The time to cover this distance can be calculated by:
speed = [tex]\frac{distance}{time}[/tex]
time = [tex]\frac{distance}{speed}[/tex]
Given that his swimming rate is 2 m/s, then:
time = [tex]\frac{99}{2}[/tex]
= 49.5
The time taken by Brandon to swim diagonally is 49.5 seconds.
Case II: Since he want to cover a total distance of 250 m;
remaining distance to be covered = 250 - 99
= 151
time = [tex]\frac{distance}{speed}[/tex]
Given that he runs at 6 m/s, then;
time = [tex]\frac{151}{6}[/tex]
= 25.1667
The time taken by Brandon to run the remaining distance is 25.2 seconds.
The minimum amount of time required = time taken by Brandon to swim diagonally + time taken by Brandon to run the remaining distance
= 49.5 + 25.2
= 74.7
The minimum amount of time required is 74.7 seconds.
Minimum amount of time to reach the desired point is 79.5 s
Brandon is on one side of a river
The width of the river = 70 m
Brandon wants to reach a point that is 250 m downstream of opposite side as quickly as possible by swimming diagonally across the river then running the rest of the way.
The swimming speed of Brandon = 2 m/s
The speed of running of Brandon = 6 m/s
Let us consider that the included angle be 45°
[tex]\rm cos \; \theta = \dfrac{70}{x} \\\\cos \; 45 = \dfrac{70}{x} \\\x = \dfrac{70}{0.707} \approx 99[/tex]
So the distance traveled by Brandon in water is 99 m
As the swimming speed of Brandon is given 2 m/s
So the time taken by Brandon to cross the river is given as follows
[tex]\rm Time = \dfrac{Distance}{Speed}[/tex]
[tex]\rm Time \; to\; cross\; the\; river = \dfrac{99}{2} = 49.5 \; s[/tex]
Let the horizontal distance covered by Brandon by swimming is H
So from Pythagorean theorem we can write
[tex]\rm H = \sqrt{99^2 -70^2 } = 70[/tex]
The distance that is left to be traveled by running is 250 - 70 = 180 m
So Time taken in running to reach the point by running = 180/6 = 30 s
So the time to reach the desired point = 49.5 + 30 = 79.5 s
For more information please refer to the link given below
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find the midpoint of the line segment with the given endpoints (9, -8) (-10, -2)
Answer:
mid point=(-1/2,-5)
Step-by-step explanation:
HEY CAN ANYONE PLEASE HELP ME:))!!!
there could be a calculator online to solve it
what does zero stand for
Jamel has a cell phone that has unlimited minutes and texts for $45 a month, but he has to pay $5 for each gigabyte of data he uses. If he does not want to spend more than $65 for his cell phone each month, how many gigabytes can he use?
Answer:
I think it's 4 gigabytes
Step-by-step explanation:
He only wants to pay 65$ and he already spends 45$ on his phone already. So you only have 20 dollars until his grand totaly of 65$ so 5x4= 20 so he can only use 4 gigabytes. Does that make sense? Hope I helped eheh
In Jeopardy, if you answer a question
incorrectly. you lose points. If Owen's score
is 200 points, then he answers a 350-point
question incorrectly, find his score.
Need this ASAP
Answer:
-150 points cause 200-350= -150
Step-by-step explanation:
Can i have brainliest i've never got one before
Cuanto es 1/4 en pedazos?
Answer:
1/4 en pedazos seria 1/4 en pedazos
Step-by-step explanation:
la pregunta no tiene sentido
Answer: La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan cuatro piezas para formar un todo". La fracción un cuarto, escrita en símbolos como 1/4, significa "una pieza, donde se necesitan 4 piezas para formar un todo".
Step-by-step explanation:
what number makes equation true enter the answer in the box
_ / 6 = 7
Answer:
42
Step-by-step explanation:
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You have 41 marbles in a bag. Inside the bag are 15 red marbles, 10 blue marbles, and
the rest are white. If you reach into the bag and randomly select a marble, then what is
the probability the selected marble will be red?
Answer:
15/41
There are 41 marbles and 15 of them are red so you have a 15/41 chance to pick out a red as that is how many of them there are as compared to the total
3/4x+2=5/12 rewite so there’s no fractions
Answer:
3/4 and 2/5 have a common denominator of 20, so re-write
15/20x - 2 = 8/20 Now multiply both sides by 20
15x-40 = 8
Step-by-step explanation:
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Answer:
D
Step-by-step explanation:
Subtract 60 from 80 to get 20, and divide 20 by 80 to get 1/4, which can be converted to 25%.
Answer:
i think its D but im not exactly sure
Write an equation for the line that goes through point (-1,4) and is parallel to the
line y = 2x - 9
Answer:
y = 2x + 6
slope = 2
y intercept = 6
R - 27 / 6 = 7
SOLVE FOR R and thank you
Answer:
huh
Step-by-step explanation:
Ms. Boyd has 9 bills in her purse that consist
of five-dollar bills and twenty-dollar bills. The
value of the bills is worth $105. How many
five-dollars bills and twenty-dollar bills does
Ms. Boyd have?
Answer:
5 twenty's 1 five
Step-by-step explanation:
20 x 5 = 100
100 = 5 = 105
A company that makes hair-care products had 6,000 people try a new shampoo. Of the 6,000 people, 24 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
0.4% people
Step-by-step explanation:
Convert fraction (ratio) 24 / 6,000 Answer: 0.4%
Answer:
0.4%
Step-by-step explanation: