What is 2/5 of 15?
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How to Calculate the Fraction of a Whole Number
How to Calculate the Fraction of a Whole Number
You probably know that 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.
Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:
15
1
So now that we've converted 15 into a fraction, to work out the answer, we put the fraction 2/5 side by side with our new fraction, 15/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
2 x 15
5 x 1
=
30
5
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 30 and 5 is 5.
We can now divide both the new numerator and the denominator by 5 to simplify this fraction down to its lowest terms.
30/5 = 6
5/5 = 1
When we put that together, we can see that our complete answer is:
6
1
The complete and simplified answer to the question what is 2/5 of 15 is:
6
hope this helps
Missing number is 6
Set up the proportion
[tex] \frac{2}{5} = \frac{x}{15} [/tex]
Cross multiply to get 5x=30.
Divide both sides by 30 to get the answer
5x÷5=30÷5
x=6
Rebecca has $128 to spend. She
spends $78 on a running shoes.
Tank tops cost $12.50 each. Write and
solve an inequality to find how many
tank tops she can buy.
Answer:
12.5x =10x+10
12.50x=x10+10
subtract 10x from both sides
2.5x=10
divide by 2.5
x=4
What is the value of the expression below?
4. 8 x 108
-x (2. 2 x 10-6)
1. 2 x 104
Answer:
I'm not sure I understand the formatting. I don't know what the x is supposed to be for the middle term (-x(2.2x10^6)), so I dropped the x for the calculation. I also assumed all terms are to be added. If these assumptioons are correct, the answer is:
4.58012 x 10^8 or 4.6x10^8 (see below)
Step-by-step explanation:
(4.8x10^8) - (2.2x10^6) + 1.2x10^4
(4.8x10^8) - (0.022x10^8) + (0.00012x10^8)
4.8
-0.22
+0.00012
4.58012
4.58012 x 10^8
There are only 2 significant digits (2.8x10^8) so if this is an answer relating to a scientific measurement, it would need to rounded to simply 4.6x10^8.
Twenty-six cards with the letters from A to Z are face down. What is the probability that a vowel will be chosen?
Answer:
5/26
Step-by-step explanation:
There are 26 letters in the english alphabet then out of that 26 there are 5 vowels so the probability is 5/26
Please help I will give brainliest.
find the value of x round to the nearest 10th
I will give brainliest
10.9
Step-by-step explanation:[tex]According\ to\ the\ question,\ we\ con\ spe\ that[/tex]
[tex]\sin{40}[/tex]° [tex]=\frac{7}{x}[/tex]
[tex]x=\frac{7}{\sin{40degrees}}\\ x\approx 10.9[/tex]
I hope this helps you
:)
AB - CD + 2D x A x (AC - BD
also i know it says im old but im in middle school
b=4 a=3 c=6 d=2
The 40 and 50 degree angles are?
Answer:
40 degrees is acute, 50 is also acute and they both make up a right angle (90 degrees)
Step-by-step explanation:
How do i know what's is the number
how many square yards of carpet should stella order if her bedroom measures nine by twelve feet
Find two positive consecutive
even integers such that the
square of the smaller integer
decreased by five times the
larger integer is 536.
Answer:
[tex]26[/tex] and [tex]28[/tex].
Step-by-step explanation:
Let [tex]x[/tex] denote the smaller one of the two even integers ([tex]x > 0[/tex] since both integers are positive.) The larger one of the two consecutive even integer would be [tex](x + 2)[/tex].
The square of the smaller integer would be [tex]x^{2}[/tex].
Five times the larger integer would be [tex]5\, (x + 2)[/tex].
Subtract five times the larger integer from the square of the smaller integer to get [tex](x^{2} - 5\, (x + 2))[/tex].
The value of this expression should be equal to [tex]536[/tex]. In other words:
[tex]x^{2} - 5\, (x + 2) = 536[/tex].
Rewrite and simplify this quadratic equation:
[tex]x^{2} + (-5)\, x + (- 546) = 0[/tex].
[tex]a = 1[/tex].[tex]b = (-5)[/tex].[tex]c = (-546)[/tex]Apply the quadratic formula to find possible values of [tex]x[/tex]:
[tex]\begin{aligned}x_{1} &= \frac{-b + \sqrt{b^{2} - 4\, a\, c}}{2\, a} \\ &= \frac{-(-5) + \sqrt{(-5)^{2} - 4 \times 1 \times (-546)}}{2}\\ &= \frac{5 + \sqrt{2209}}{2} \\ &=\frac{5 + 47}{2} \\ &= 26\end{aligned}[/tex].
[tex]\begin{aligned}x_{2} &= \frac{-b - \sqrt{b^{2} - 4\, a\, c}}{2\, a} \\ &= \frac{5 - \sqrt{2209}}{2} \\ &=\frac{5 - 47}{2} \\ &= -21\end{aligned}[/tex].
Since [tex]x > 0[/tex] (both numbers are supposed to be positive), [tex]x = 26[/tex] would be the only valid solution.
Therefore, the two integers would be [tex]x = 26[/tex] and [tex]x + 2 = 28[/tex].
What is the median of this data set? {12, 8, 9, 12, 10, 13, 8} Enter your answer in the box.
Answer:
the median is 10
Step-by-step explanation:
8, 8, 9, 10, 12, 12, 13
8, 9, 10, 12, 12
9, 10, 12
10
Answer:
10
Step-by-step explanation:
Can some please explain and solve how to do these unit rate equations?
The diameter of a circle is 6 millimeters. What is the circle's circumference?
Use 3.14 for .
Answer:
18.84
Step-by-step explanation:
Answer:
18.8495559215
Step-by-step explanation:
In order to find circuference we use the formula
C= 2π(r)
c= circumference
r= radius
since they gave you the diameter, you first have to find the radius so you would divide the diameter by two since radius is half of a circle so 6 divided by 2 is 3. From here we would plug in 3 for "r" in the formula I wrote above. So C= 2π(3). then type this into a calculator to get the answer I wrote above. Then round as directed
The area of a rectangle is given by the expression, A = 4x2 + 9x + 2 where the width is x +2. Find an expression for the length of the rectangle. Show all steps.
Answer:
4x+1
Step-by-step explanation:
1) to find the required expression for the length:
length=area/width;
2) according to the formula above:
[tex]L=\frac{4x^2+9x+2}{x+2}=\frac{(x+2)(4x+1)}{x+2}=4x+1.[/tex]
A boy sees a bird sitting on a tree at an angle of elevation of 20°. If a boy is standing 10 miles away from the tree, at what height bird is sitting?
Let that be x
[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\rightarrowtail tan20=\dfrac{x}{10}[/tex]
[tex]\\ \rm\rightarrowtail 0.364=\dfrac{x}{10}[/tex]
[tex]\\ \rm\rightarrowtail x=10(0.364)[/tex]
[tex]\\ \rm\rightarrowtail x=3.64mi[/tex]
Answer:
[tex]\displaystyle 4\:mi.[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{10}{h} = cot\:20 \hookrightarrow 10 = hcot\:20 \hookrightarrow \frac{10}{cot\:20} = h; 3,6397023427... \\ \\ \boxed{4 \approx h}[/tex]
OR
[tex]\displaystyle \frac{h}{10} = tan\:20 \hookrightarrow 10tan\:20 = h; 3,6397023427... \\ \\ \boxed{4 \approx h}[/tex]
I am joyous to assist you at any time.
Find the volume of a cone with a base diameter of 12 m and a height of 11 m.
Step-by-step explanation:
the volume of a cone is
ground area × height / 3
and the ground area is a circle.
so,
pi×r²×h/3
with r being the radius (half the diameter) and h being the height.
therefore, we get
pi×(12/2)²×11/3 = pi×6²×11/3 = pi×12×11 = 132pi =
= 414.6902303... m³
three of the angles of a quadrilateral are 100, 104 and 44. what is the size of the 4th angle?
Answer:
112
Step-by-step explanation:
Sum of interior angles in quadrilaterial = 360
360 - 100 - 104 - 44 = 112
Step-by-step explanation:
Let the 4th angle = x
Now,
x + 100 + 104 + 44 = 360° ( the sum of interior angle of quadrilateral is 360°)
x + 248 = 360°
x = 360° - 248
x = 112
Hence, the fourth angle is 112....
heyyo does anyone knows how to solve this equation and the answer as well??
Answer:
A
Step-by-step explanation:
tanΘ = [tex]\frac{\sqrt{3} }{3}[/tex] , then
Θ = [tex]tan^{-1}[/tex] ( [tex]\frac{\sqrt{3} }{3}[/tex] ) = [tex]\frac{\pi }{6}[/tex]
since tanΘ > 0 then Θ is in first / third quadrants
Θ = π + [tex]\frac{\pi }{6}[/tex] = [tex]\frac{7\pi }{6}[/tex]
solution is { [tex]\frac{\pi }{6}[/tex] , [tex]\frac{7\pi }{6}[/tex] } in the interval 0 < Θ < 2π
If a sequence is 0,1,1,2,3,5 what is the 11th number in the sequence?
Answer:
55
Step-by-step explanation:
This is the Fibonacci sequence! Filling out the rest of the numbers, 55 is the 11th number in this sequence.
A skateboarding ramp is in the shape of a triangular prism, If the entire ramp is to be painted, and a can on spray paint covers 1,000 sq^2, how many cans will be needed?
Step-by-step explanation:
I don't have that much time to wait for all the clarifications, so I will make some assumptions based on what I saw in your comments so far.
please change the numbers in the calculation (and the recalculate) as necessary :
we are dealing with a triangular prism that acts as a ramp.
triangular means that the sides are in the shape of triangles.
but the front, the back and also the bottom areas are rectangles.
the area of a rectangle is length×width.
the area of a triangle is baseline×height/2
since it is supposed to be a ramp, I assume the triangle shape of the sides is right-angled. that means the back side of the ramp is standing straight up (90° angle with the bottom).
the height of the ramp is the height of the triangle side areas, and is simply the left leg of the triangle (again, going straight up with a 90° angle to the baseline).
I understand the height is 14 in.
I assume the front length is 50 in. and the depth of the ramp (the length of the baseline of the triangular sides) is 48 in.
now we get the length of the inclined "front" leg of the side triangles via Pythagoras
c² = a² + b²
with c being the side opposite of the 90° angle (exactly the inclined leg we are looking for) :
c² = 14² + 48² = 196 + 2304 = 2500
c = 50 in
that means our front rectangle of the ramp is actually a square of 50in × 50in.
the entire ramp is to be painted. that means really every side, including the bottom.
so, the whole surface area is the sum of the individual areas.
we have
1 (inclined) front area 50in × 50in
1 back side (straight up) 50in × 14in
1 bottom area 50in × 48in
2 side triangles 48in × 14in / 2 = 48in × 14in
so, we get as total area
50×50 = 2500 in²
50×14 = 700 in²
50×48 = 2400 in²
48×14 = 672 in²
---------------------------
6272 in²
now, one can of spray paint can cover 2000 in².
that means we need
6272 / 2000 = 3.136 cans.
and since we cannot buy fractions of cans, we need to round up.
we need 4 cans to do the painting job.
Kevin has a deck of cards. There are 10diamonds, 5 spades, 12 clubs and 3 hearts.A card was chosen at random. What is the
probability of not choosing a diamond card?
Answer: 2/3.
Step-by-step explanation: When you add all the spades, hearts, clubs, and diamonds cards together, you get 30 in total. 1/3 of the 30 cards in total are diamonds, so the other 2/3 can be drawn as well. The probability of not choosing a diamond card is 2/3, since the remaining 1/3 is all diamonds.
Have a great day! :)
My neighbor has both chickens and roosters. He has a total of 31 birds. The number of chickens is ten more than twice the number of roosters. How many chickens does he have?
Answer:
24
Step-by-step explanation:
You can use a simple equation for this:
c=chickens, r=roosters
c=10+2r, as "chickens is TEN MORE than TWICE the number of roosters,"
we can then do;
10+2r+r (the original number of roosters)=31
3r=21
r=7
BUT, WE'RE NOT LOOKING FOR ROOSTERS!
10+2r=24
Solve for x please and round
Answer:
[tex]\displaystyle 74,4[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{67} = cot\:42 \hookrightarrow 67cot\:42 = x \hookrightarrow 74,411038494... = x \\ \\ 74,4 ≈ x[/tex]
OR
[tex]\displaystyle \frac{67}{x} = tan\:42 \hookrightarrow xtan\:42 = 67 \hookrightarrow \frac{67}{tan\:47} = x \hookrightarrow 74,411038494... = x \\ \\ 74,4 ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
Sammy then $200 as a department store she bought three rings for $21 each and spend the rest on for equallypriced bracelets. How much did each bracelet cost?
Answer:
Step-by-step explanation:
3(21) + 4b = 200
63 + 4b = 200
4b = 200 - 63
4b = 137
b = 137/4
b = 34.25...so each bracelet (b) costs $ 34.25
You are painting the outside wall of a large building. The wall has a width of 60.11 meters, and a height of 79.88 meters. You need to estimate the total area of the wall, so you know how much paint to buy. Which number below is the best estimate?
A. 4,800 m2
B. 4,400 m2
C. 5,200 m2
D. 5,300 m2
Answer: A) 4,800 m2
60.11m x 79.88= 4801.5868
Answer:
A. 4,800 m²
Step-by-step explanation:
Given :
=> width of wall is 60.11 meters.
=> height of wall is 79.88 meters.
The area of the wall is = length × breadth
=> 60.11×79.88
=> 4,801.5868m²
Approx. 4,800
8. Estimate the product. Then find the
exact product.
(25+4) (52-5)
Х
Estimate:
Exact product:
Hey there!
ORIGINAL EQUATION:
(25 + 4)(52 - 5)
= (29)(47)
= 1,363
Original answer: 1,363
____________________
SOLVING FOR THE ESTIMATION EQUATION:
25 = 30
4 = 0
~~~~~~~~
52 = 50
5 = 10
(30 + 0)(50 - 10)
= 30(40)
= 1,200
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is 2 , 3492,349 rounded to the nearest hundred?
Answer:
See below.
Step-by-step explanation:
23,492,349
/\
This is the hundreds place.
The place after it has a 4, so normally, we would round down. But, there is a 9 after the 4, so we round up the 4 to 5, and we round up again to the 3.
23,492,400
-hope it helps
A bottle of perfume is spherical with a diameter of 36 mm.
Calculate the capacity of the bottle, in mL.
24.4 mL
By converting mm to cm, we get
1 mm = 1/10 cm
18 mm = 18/10 cm
radius (r) = 1.8 cm
To find the volume,
Volume of sphere = 4/3πr3
= 4/3π(1.8)3
Volume = 24.4 cm3
To find the capacity,
1 cm3 = 1 mL
Capacity = 24.4 mL
In the diagram below,EF is parallel to BC. IF BC is the twice length of ED,BD=36 and EF=14, find the length of ED. Figure are not necessary drawn to scale. State your answer in simplest ratio form if necessary.
Answer: sqrt(182)
Step-by-step explanation:
What is
13/31 as a percentage?
Give your answer rounded to one decimal place
Answer:
13 is 41.9 percent of 31
13/31*100=41.9