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
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
25^(2x+3) = 125^(2x+8)
please help and show work!!!!!!!
Answer:
[tex]x = -9[/tex]
Step-by-step explanation:
Given equation:
[tex]25^{2x+3} = 125^{2x+8}[/tex]
Convert 25 and 125 to base 5:
[tex]\implies (5^2)^{2x+3} = (5^3)^{2x+8}[/tex]
Apply exponent rule [tex](a^b)^c=a^{bc}[/tex]
[tex]\implies 5^{2(2x+3)} = 5^{3(2x+8)}[/tex]
If [tex]a^{f(x)}=a^{g(x)}[/tex] then [tex]f(x)=g(x)[/tex]:
[tex]\implies 2(2x+3) = 3(2x+8)[/tex]
Expand:
[tex]\implies 4x+6 = 6x+24[/tex]
Subtract 6x from both sides:
[tex]\implies -2x+6 = 24[/tex]
Subtract 6 from both sides:
[tex]\implies -2x=18[/tex]
Divide both sides by -2:
[tex]\implies x=-9[/tex]
Let's solve up
[tex]\\ \rm\rightarrowtail 25^{2x+3}=125^{2x+8}[/tex]
[tex]\\ \rm\rightarrowtail 5^{2(2x+3)}=5^{3(2x+8)}[/tex]
[tex]\\ \rm\rightarrowtail 5^{4x+6}=5^{6x+24}[/tex]
[tex]\\ \rm\rightarrowtail 4x+6=6x+24[/tex]
[tex]\\ \rm\rightarrowtail -18=2x[/tex]
[tex]\\ \rm\rightarrowtail x=-9[/tex]
How many pairs of corresponging angles are formed when a transeversal is cut by 2 parallel lines?
Answer: 4
Step-by-step explanation:
There are 4 pairs of corresponding angles are formed when a transversal is cut by 2 parallel lines,
What are parallel lines?Parallel lines are the lines that do not intersect or meet each other at any point in a plane.
They are always parallel and are at equidistant from each other. Parallel lines are non-intersecting lines.
If two parallel lines are intersected by a transversal, then corresponding angles are congruent.
The angles are called corresponding angles. If two parallel lines are cut by a transversal, the corresponding angles are congruent.
When a line is cut by a transversal, 4 angles are formed,
2 angles are >=90° while 2 are <=90°
So when we take 2 parallel lines, 4 pairs are formed.
Hence, there are 4 pairs of corresponding angles are formed when a transversal is cut by 2 parallel lines,
To know more about parallel lines click the link given below.
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Please help with this question thanks! :`D Also please give me simple explanations thank you.
Answer:
Step-by-step explanation:
The last one.
A would be a quadratic if the leading coefficient was anything but 0. 0 eleminates the x^2. Not A
B has no x^2 term to begin with. B is not the answer.
C is in exponential form. C is not the answer
D has an x^2 term. There is nothing using x that is higher. D is the answer.
What is the length of the line segment whose endpoints are A(-1,9) and B(7,4) in the simplest radical form?
length : [tex]\sf \sqrt{89}[/tex]
Explanation:
use the distance formula : [tex]\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
using the formula:[tex]\sf \rightarrow \sf \sf \sqrt{(7--1)^2+(4-9)^2}[/tex]
[tex]\sf \rightarrow \sf \sf \sqrt{(8)^2+(-5)^2}[/tex]
[tex]\sf \rightarrow \sf \sf \sqrt{64+25}[/tex]
[tex]\sf \rightarrow \sf \sf \sqrt{89}[/tex]
Answer:
[tex]\sf \sqrt{89}[/tex]
Step-by-step explanation:
Let A = [tex]\sf (x_1,y_1)[/tex] = (-1, 9)
Let B = [tex]\sf (x_2,y_2)[/tex] = (7, 4)
Distance formula:
[tex]\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Input values into the distance formula and solve for d:
[tex]\sf \implies d=\sqrt{(7-(-1))^2+(4-9)^2}[/tex]
[tex]\sf \implies d=\sqrt{8^2+(-5)^2}[/tex]
[tex]\sf \implies d=\sqrt{64+25}[/tex]
[tex]\sf \implies d=\sqrt{89}[/tex]
An equilateral triangle with side lengths equal to 12 StartRoot 3 EndRoot units is inscribed in a circle. Half a side length of the equilateral triangle is 6 StartRoot 3 EndRoot units, so the apothem is units long and the radius of the circle is units long. Each segment of the circle has an area equal to the difference between the areas of the sector and triangle, or ( π − StartRoot 3 EndRoot) units2.
The apothem (x) is 11.62 units, the radius of the circle is 12 units, and the area of each segment is 48π − 23.25√3 square units.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
An equilateral triangle with side lengths equal to 12√3 units is inscribed in a circle.
And half a side length of the equilateral triangle is 6√3 units.
The apothem (x) is units long and the radius of the circle will be
x² = (9√3)² - (6√3)²
x² = 243 - 108
x² = 135
x = 11.62
And the radius of the circle will be
[tex]\begin{aligned} \cos 30 &= \dfrac{6\sqrt3}{r}\\\\\dfrac{\sqrt3}{2}&= \dfrac{6\sqrt3}{r}\\\\r &= 12 \end{aligned}[/tex]
Each segment of the circle has an area that will be
Area = the difference between the areas of the sector and triangle
Area = the areas of the sector - the areas of the triangle
The area of the sector will be
[tex]\rm Sector's \ area= \dfrac{120}{360} \pi *12^2 \\\\Sector's \ area= 48\pi[/tex]
The area of the triangle will be
[tex]\rm Triangle's \ area = \dfrac{1}{2*3} * 11.62 * 12\sqrt3\\\\Triangle's \ area = 23.25\sqrt3[/tex]
Then the area of each segment will be
Segment area = 48π − 23.25√3
More about the circle link is given below.
https://brainly.com/question/11833983
Answer:
1. 6
2. 12
3. 48
4. 36
Step-by-step explanation:
What is the slope of the line that passes through the points (2,8) and (12,20)?
Write your answer in simplest form.
The slope of the required line is [tex]\frac{6}{5}[/tex].
Thus, the slope of the line passing through (2,8) and (12,20) is [tex]\frac{6}{5}[/tex] .
Learn more about the slope of lines here:
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does anybody know what this mean? on the red circle?
Answer:
It may be a division sign, if not I have no clue.
Step-by-step explanation:
I guess it is therefore. Not so sure.....
Find YZ and WZ in rectangle WXYZ.
Answer: WZ=10, YZ=15
Step-by-step explanation:
URGENT!
7. At what rate was an investment made that obtains $359.80 in interest compounded annually on $668 over five years?
[compound interest rate]
Answer:
Rate = 13.173% per year
Step-by-step explanation:
**Not 100% sure about this answer, but I think it's right.**
Calculation Steps:
Solving for rate r as a decimal
r = n[(A/P)^1/^nt - 1]
r = 1 × [(668.00/359.80)^1/^(1)^(5) - 1]
r = 0.131731
Then convert r to R as a percentage
R = r * 100
R = 0.131731 * 100
R = 13.173%/year
xº
50°
What is the value of x?
Answer:
65
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
one of the angle is given as 50 degrees so:
50 + x + x = 180
50 + 2x = 180 subtract 50 from both sides
2x = 130 divide both sides by 2
x = 65
Determine if the equation has no solution,one solution, or infinite many solution.
Give an explanation step by step.
-2(11-12)=-4(1-6x)
Answer:
Step-by-step explanation:
-2(11-12)=-4(1-6x) becomes -2(-1) = -4(1 - 6x)
Next, we divide both sides by -2, obtaining -1 = 2(1 - 6x), and then
-1 = 2 -12x, or
-3 = -12x
Simplifying this result, we get 1 = 4x, or x = 1/4
We conclude that -2(11-12)=-4(1-6x) has ONE solution, which is x = 1/4
check please :D
12345678901234567890
Answer: All but one was right
1. 0 (correct)
2. 34 (correct)
3. 398 (correct)
4. -350 (correct)
5. 20 (correct)
6. 200 (wrong)
7. 48 (correct)
8. -1000(correct)
9. 150 (correct)
10. -55 (correct)
Step-by-step explanation:
(2x5)x(9÷3)+4=10x3+4=30+4=34
4(25x8÷2)+3-5=4(200÷2)+3-5=4x100+3-5=400+3-5=403-5=398
-10x20-30(5)=-200-150=-350
5x10-30=50-30=20
4(50-20÷4)+20=4(50-5)+20=4x45+20=180+20=200
3x4(20÷5)=12x4=48
-20(50x2)+5(200)=-20x100+5x200= -2000+1000=-1000
20x5+70-20=100+70-20=170-20=150
-5+10x(-5)==5+-50=-55
Answer:
1. 0
2. 34
3. 398
4. -350
5. 20
6. 200
7. 48
8. -1000
9. 150
10. -55
Step-by-step explanation:
-2 + 5 - 3
3 - 3 = 0
----------------
2 × 5(9 ÷ 3) + 4
2 × 5(3) + 4
2 × 15 + 4
30 + 4 = 34
------------------
4(25 × 8 ÷ 2) + 3 - 5
4(200 ÷ 2) + 3 - 5
4(100) + 3 - 5
400 + 3 - 5
403 - 5 = 398
------------------
-10 × 20 - 30(5)
-200 - 150 = -350
-----------------
5 × 10 - 30
50 - 30 = 20
----------------
4(50 - 20 ÷ 4) + 20
4(50 - 5) + 20
4(45) + 20
180 + 20 = 200
--------------------
3 × 4(20 ÷ 5)
3 × 4(4)
3 × 16 = 48
----------------
-20(50 × 2) + 5(200)
-20(100) + 1000
-2000 + 1000 = -1000
----------------
20(5) + 70 - 20
100 + 70 - 20
170 - 20 = 150
----------------
-5 + 10(-5)
-5 + -50 = -55
------------------------
The only one I see wrong is "4(50 - 20 ÷ 4) + 20"
I hope this helps!
Which ordered pair is a solution of the inequality y < 3x + 1
A. (-3,2)
B. (3,14)
C. (1, -3)
D. (1,6)
Answer:
c
Step-by-step explanation:
1=x
-3=y
then you plug it in. put the -3 in for the y and the 1 in for the x then you have the equation:
-3<3(1)+1
and solve it
-3<4+1
-3<5
Answer:
D
Step-by-step explanation:
y-3x < 1
D is answer
-3-3= -9
-9 <1
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
Hei has $1,400 in a retirement account earning 4% interest compounded annually. Each year after the first, she makes additional deposits of $1,400. After 5 years, what was her account balance if she did not make any withdrawals? Round each year's interest to the nearest cent if necessary. HELP ASAP
Answer:
$7886.16
Step-by-step explanation:
If the balance increases by 4%, it will be 104% of the original amount. 104% as a decimal is 1.04. Therefore, to calculate the balance with annual compound interest applied, multiply the balance of the account by 1.04 each year.
As Hei makes additional deposits of $1,400 for each year after the 1st year, add $1,400 to the account balance from year 2 onwards before adding the interest.
Let A = account balance
After 1 year
A = 1400 × 1.04 = $1456
After 2 years
A = (1456 + 1400) × 1.04 = $2970.24
After 3 years
A = (2970.24 + 1400) × 1.04 = $4545.05
After 4 years
A = (4545.05 + 1400) × 1.04 = $6182.85
After 5 years
A = (6182.85 + 1400) × 1.04 = $7886.16
Therefore, after 5 years her account balance will be $7886.16
pls help
Triangle MNP with the vertices M(-6,-8) M(-1,-6) and P(-2,-8) in the line y= -5
Triangle MNP with the vertices M(-6,-8) N(-1,-6) and P(-2,-8) is reflected across the line y= -5 to give M'(-6, -2), N'(-1, -4) and P'(-2, -2)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Triangle MNP with the vertices M(-6,-8) N(-1,-6) and P(-2,-8) is reflected across the line y= -5 to give M'(-6, -2), N'(-1, -4) and P'(-2, -2)
Find out more on transformation at: https://brainly.com/question/4057530
Aja can harvest a field in 13 hours. One day her friend Khia helped her and it only took 6.24 hours. How long would it take Khia to do it alone?
Question 8 of 10
Which of the following are exterior angles? Check all that apply.
A. 4
B. 2
C. 1
D. 5
E. 3
F. 6
Answer:
A triangle's exterior angle is the angle established by one of the triangle's sides and the extension of one of the triangle's adjacent sides.
Step-by-step explanation:
FACTS:
Each vertex of a triangle has two exterior angles.
It's worth noting that the "outside" angles that are "vertical" to the angles inside the triangle aren't called to as triangle exterior angles.
1. The given triangle's angles are 1, 5, and 6.
2. Angle 3 is perpendicular to angle 5 on the inside.
3. The triangle's outside angles are 2 and 4.
The correct answers are A and B.
A triangle's exterior angle is the angle created by one of the triangle's sides and the extension of one of the triangle's adjacent sides.
find the simple interest #70000 for 7 1/2 at 3% per annum
Answer:
I think 1575000 but not sure sorry if i'm wrong
!!!WILL MARK BRAINLIEST!!
Answer:
B, F
Step-by-step explanation:
B, F is correct.
A, C, D, E, G, H is wrong.
[tex] < jkl = < qrs = < zxy = {47}^{0} [/tex]
[tex] < jlk = < zyx = < qsr = {29}^{0} [/tex]
Which statement is correct for the graph of the specified function?
A) The rate of change for the linear function is 2.
B) The rate of change for the linear function is −1.
C) The maximum value of the quadratic function occurs at y = 4.
D) The minimum value of the quadratic function occurs at x = 4.
The correct statement regarding the function plotted in the graph is:
C) The maximum value of the quadratic function occurs at y = 4.
What is the rate of change of the linear function?When x = 0, y = -7, and when x = -5, y = 8, hence the rate of change(change in y divided by change in x) is given by:
R = [8 - (-7)]/-5 - 0 = 15/-5 = -3
What is the maximum value of the quadratic function?It is concave down, hence it has only a maximum value at y = 4 and not a minimum value, hence option C is correct.
More can be learned about functions at https://brainly.com/question/25537936
What operation can you use on both sides of the equation 100=100 +y to solve the equation for y? Solve the equation for y.
The equation 100 = 100 + y is an algebraic equation
The operation is subtraction property of equality, and the value of y is 0
How to solve the equation?The equation is given as:
100 = 100 + y
To solve for y, we apply the following operation
Operation: subtraction property of equality
So, we have:
100 - 100 = 100 - 100 + y
Evaluate the differences
0 = y
Rewrite as:
y = 0
Hence, the operation is subtraction property of equality, and the value of y is 0
Read more about algebraic equations at:
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I WILL GIVE BRAINLIEST! PLEASE ANSWER CORRECTLY!
4. Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe the direction of the parabola and determine the y-intercept and zeros.
5. Create a graph of the polynomial function you created in Question 4
Answer:
4. equation: f(x)=(x-2)(x-1)
direction: parabola faces up bc a is positive
y-intercept: (0,2)
zeros/x-intercepts: (1,0) & (2,0)
5. graph is attached (i used desmos)
the current value of an item is 300000 at tge beginning of the year ,of its value at the end of every year is ¾ of the value at the beginning of the year find its value after 5 years
Answer:
71191.4 to the nearest tenth.
Step-by-step explanation:
Value after 5 years = 300000(3/4)^5
= 71191.41
Help please this is complicated
Answer:
2=29
3=x?
kris kross
2x=3×29
2x=87
divide both sides by two
x=43.5
and
3=43.5
so find by this method
A snack-size bag of pretzels contains 0.5 ounce. How many ounces of pretzels come in a bulk pack that contains 64 snack size bags.
[tex]__________________________[/tex]
Given:Each bag of pretzels contain = 0.5 ozAnswer & Solution:64 x 0.5 oz = 32 oz
Therefore, 64 bags of pretzels contains 32 oz of pretzels.
Solve the equation
8 - (x - 2) = 2x + (10 - 3x)
a. x= 10
b. x= -10
c. infinitely many solutions
d. no solution
Answer:
Step-by-step explanation:
8-(x-2)=2x+(10-3x)
We move all terms to the left:
8-(x-2)-(2x+(10-3x))=0
We add all the numbers together, and all the variables
-(x-2)-(2x+(-3x+10))+8=0
We get rid of parentheses
-x-(2x+(-3x+10))+2+8=0
We calculate terms in parentheses: -(2x+(-3x+10)), so:
2x+(-3x+10)
We get rid of parentheses
2x-3x+10
We add all the numbers together, and all the variables
-1x+10
Back to the equation:
-(-1x+10)
We add all the numbers together, and all the variables
-1x-(-1x+10)+10=0
We get rid of parentheses
-1x+1x-10+10=0
We add all the numbers together, and all the variables
=0
x=0/1
x=0
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{8 - (x - 2) = 2x + (10 - 3x)}\\\mathsf{\rightarrow 8 - x - 2 = 2x + 10 - 3x}\\\mathsf{\rightarrow 6 - x = 5x + 10}\\\mathsf{\rightarrow 6 - 1x = 5x + 10}\\\mathsf{\rightarrow -x + 10 = -x + 10}\\\large\text{ADD the value of x to BOTH SIDES}\\\mathsf{\rightarrow -x + 10 + x = -x + 10 + x}\\\large\text{SIMPLIFY IT!}\\\large\text{SUBTRACT 10 to BOTH SIDES}\\\mathsf{\rightarrow 10 - 10 = 10 - 10}\\\large\text{SIMPLIFY IT!}\\\mathsf{0 = 0}\\\huge\textsf{Answer: Option C. infinitely many solutions}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline?
33 miles
83 miles
120 miles
270 miles
Answer:
270 Miles
Step-by-step explanation:
18 miles per gallon
15 gallons
Basically count 18, 15 times
18*15=270
The van can travel 270 miles
How much money will
be spent in interest
alone over the course of
the 4% 30-year
mortgage described in
the table?
Answer:
the answer is 4,800 dollars
Step-by-step explanation:
Interest is amount added for time. In this case, every dollar borrowed will require 1.04 back. This may not seem like much, but it leads to a lot. Multiplying 120,000 by .04, which is 4 % in decimal form, will give you 4,800 dollars.
Hope this helps!