28% x 63
28 over 100 x 63 over 1
=
17.64
Answer:
[tex]\displaystyle 17\frac{16}{25}[/tex]
Step-by-step explanation:
[tex]\displaystyle 28\%\:of\:63 \\ \\ \frac{7}{25} \times 63 = \frac{441}{25} \\ \\ \boxed{\boxed{17\frac{16}{25}}}[/tex]
To turn 63% into a fraction, write it as a fraction over 100, then simplify it:
[tex]\displaystyle \boxed{\frac{7}{25}} = \frac{28}{100}[/tex]
I am joyous to assist you at any time.
Which systems of equations have one or more solutions?
Select all that apply. HELP ASAPPPP
The intensity of a radio signal from the radio station varies inversely as the square of the distance from the station. Suppose intensity is 8000 units at a distance of 2 miles. What will the intensity be at a distance of 12 miles? Round your answer to the nearest unit. A. 205 units b. 222 units c. 248 units d. 186 units.
The intensity of soundwave at a distance of 12 miles is 222.22 miles.
What is Directly proportional and inversely proportional?
The link between two variables whose ratio is equal to a constant number is known as a direct proportional, while the multiplication of two variables whose ratio is equal to a constant number is known as an inversely proportional.
It is given that the intensity of a radio signal from the radio station varies inversely as the square of the distance from the station. therefore, the relation between the intensity of the radio wave(I) and distance(r) can be written as,
[tex]I\propto \dfrac{1}{r^2}\\\\\\I=k \dfrac{1}{r^2}[/tex]
Now, it is stated that the intensity of the radio wave at a distance of 2 miles is 8000 units, therefore, substituting the value in the above equation to get the value of the constant,
[tex]I=k\dfrac{1}{r^2}\\\\8000=k\dfrac{1}{2^2}\\\\8000=k\dfrac{1}{4}\\\\k = 8000 \times 4 = 32,000\rm\ units[/tex]
Thus, the value of the constant k is 32,000 units, and the equation of the intensity of the radio signal can be written as,
[tex]I=\dfrac{32,000 }{r^2}[/tex]
Further, the intensity of soundwave at a distance of 12 miles will be equal to,
[tex]I=\dfrac{32,000 }{r^2}\\\\I=\dfrac{32,000 }{12^2}\\\\I=\dfrac{32,000 }{144}\\\\I = 222.22\rm\ units[/tex]
Hence, the intensity of soundwave at a distance of 12 miles is 222.22 miles.
Learn more about Inversely proportional:
https://brainly.com/question/2548537
Someone pls help? ........
In 2020, a magazine has 128,500 subscribers. The number of subscribers decreases by 11% each year.
Which function, S(t), represents the number of subscribers t years after 2020?
Answer
They would lose 14,080 a year so that would 14,080.
I hope that helped! :)
What two numbers multiply to -42 but also add up to -11
Answer:
3 and -14
Step-by-step explanation:
Find the factors of -42 and add them to see what they give:
1 × -42 = 42, -41
2 × -21 = 42, -19
3 × -14 = 42, -11
6 × -7 = 42, -1
The second to last is right so the numbers are 3 and -14
Mia was out at a restaurant for dinner when the bill came. Her dinner came to $28. After adding in a tip, before tax, she paid $37.24. Find the percent tip.
Find the area of the circle below. You must show all work to get full credit. Don't forget to label your answer.
Answer:
Area of Circle = π[tex]r^{2}[/tex]
Step-by-step explanation:
Diameter = 40 in ....... (given)
Radis = 1/2.40 = 20 in
Area of Circle = π[tex]r^{2}[/tex]
= 22/7.[tex]20^{2}[/tex]
= 1 257,14 inches squared
a city council surveyed two population samples to determine whether their community would support the construction of bike paths. the results: general population, 1000 surveyed , 318 is number supporting bike paths. population that rides bikes, 400 surveyed, 214 is number supporting bike paths, what is the conclusion of the survey results
Hey! I need someone to help me with this.
1)
Expression: (a-5)2
Simplified: ?
2)
Expression: a-9 x a17a7
Simplified: ?
3)
Expression: a-4a-7
Simplified: ?
4)
Expression: (a3)-2 x a2a3
Simplified: ?
5)
Expression: a22(a3)8
Simplified: ?
6)
Expression: a0x (a2)6
Simplified: ?
7)
Expression: (a5)3
Simplified: ?
8)
Expression: a-4x a15
Simplified: ?
Answer:
1)
Expression: (a-5)2
Simplified: 2a−10
2)
Expression: a-9 x a17a7
Simplified: a−9xa24
3)
Expression: a-4a-7
Simplified: −3a−7
4)
Expression: (a3)-2 x a2a3
Simplified: a3−2xa5
5)
Expression: a22(a3)8
Simplified: 8a25
6)
Expression: a0x (a2)6
Simplified: 2+x>4
(−3−5i)−(4+2i)
6/8
7)
Expression: (a5)3
Simplified: 3a5
8)
Expression: a-4x a15
Simplified: a−4xa15
Pls, choose me as brainliest!
three eighths times 2
A set of pens sells for $3. 75 and costs $1. 50 to make. Thirty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to a school. If 600 sets are sold, what is the amount of money that will go to the school?
Answer:
$405
Step-by-step explanation:
3.75-1.50=2.25
2.25 x 600 = 1350
30 % of 1350 is 405 so it would equal $405
Please answer I will make you brainliest
Answer:
3 times as great
Step-by-step explanation:
The most amount of water is 3/4 full
The least amount of water 1/4 full
To get from 1/4 to 3/4, you multiply by 3:
[tex]\frac{1}{4} * \frac{3}{1} = \frac{3}{4}[/tex]
(I made 3 into 3/1 to show how you multiply across easier)
how to find the axis of symmetry of a parabola with two symmetric points on the parabola are (-3,5) and (7,5) show work pls
Answer:
x=2.
Step-by-step explanation:
1) if the given points are (-3;5) and (7;5), then the required axis of symmetry is vertical. Then
2) the required axis intersects the section between (-3;5) and (7;5) in its midpoint;
3) the coordinates of the midpoint above are (2;5), then the required axis is:
x=2.
the sum of ages of Jamal and his father is 40 years.After 4 years,the age of the father will be triple the age of his son.Find the age of Kamal and his father
Answer:
The age of Jamal is 8 years.
And the age of his father is 32 years.
Step-by-step explanation:
=> let the age of Jamal be x and his father's age be y
=> so , A.T.Q ,
x+y = 40....i)
Find the value of y from here , that's y = 40-x .....
Now, After 4 years ,
=> 3(x+4) = (y+4)
=> 3x+12 = y+4
=> 3x+8 = y ...ii)
putting the value of y in equation ii)
=> 3x+8 = 40-x
=> 3x+x = 40-8
=> 4x = 32
=> x = 8
now ,
=> y = 40-x
=> y = 40-8
=> 32
Which of the following would best be solved using factoring by grouping?
Answer:
option A
Step-by-step explanation:
x² + 3x - 10 = 0
x² + 5x - 2x - 10 = 0
x(x + 5) -2(x + 5) = 0
(x + 5) (x - 2)
x = -5 x = 2
Determine the product. 800.5 x (2x10^6)
A 1.7 x 10^7
B 1.601 x 10^7
C 1.7 x 10^9
D 1.601 x 10^9
A pencil has a cross-sectional diameter of 0.7 cm, a length from the end of the eraser to the beginning of the sharpened taper of 17 cm, and a length from the beginning of the taper to the sharpened point of 1.5 cm. Find the total surface area of the pencil, giving your answer correctly rounded to the nearest cm2 (do not include units).
Answer:
39 cm ²
Step-by-step explanation:
Help With The Last Question Someone Please!
Answer:
x ≥ 21
Hope it helps!
I don't really get alot of help but help me on this one Find the volume pls
Answer:
C. 112 cubic inches
Step-by-step explanation:
Two solve this weird-looking house problem, first let's see what it is made of.
Split the area into two volumes.
V = 1/3lwh is the volume for a triangular prism and V = lwh is the volume for a rectangular prism.
Let's now solve for the triangular prism.
The length and width are the same as that of the cube. The cube's length and width is 4 in.
V = 1/3(4)(4)(6) = 32 cubic inches
Now Solve for the cube.
V = lwh = 4(4)(5) = 80 cubic inches
Total Volume = 80 + 32 = 112 cubic inches
pls help will mark as brainlist
Answer:
35200Step-by-step explanation:
[tex]244^{2}-156^{2}=(200+44)^{2}-(200-44)^{2}[/tex]
[tex]=\left(200^{2}+2 \times 200 \times 44+44^{2}\right)-\left(200^{2}-2 \times 200 \times 44+44^{2}\right)[/tex]
[tex]=200^{2}+2 \times 200 \times 44+44^{2}-200^{2}+2 \times 200 \times 44-44^{2}[/tex]
[tex]=4 \times 200 \times 44[/tex]
[tex]=35200[/tex]
Answer:
244^2-156^2 hi this is in the form p^2-q^2=(p+q)(p-q) now, (244+156)(244-156) =(400)(88)=35,200answer.
Find the area of the figure below.
I am stuck on this too...
Maybe we can figure it out together
An angle measures 67.2º more than the measure of its complementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
Help and steps please
Answer:
30
Step-by-step explanation:
We know that the very bottom side is 2 because 6-4 is 2. Then add up all the sides which equals 30
Triangle E B C is shown with its exterior angles. Line E C extends through point F. Line C B extends through point A. Line B E extends through point D. Which statements regarding the diagram of ΔEBC are true? Select three options. ∠BEC is an exterior angle. ∠DEC is an exterior angle. ∠ABE and ∠EBC are supplementary angles. ∠BCF and ∠DEC are supplementary angles. ∠BEC is a remote interior angle to exterior ∠BCF.
Answer:
2, 3, 5 are true statements
Step-by-step explanation:
A diagram of the geometry is helpful. Our understanding of your description is shown in the first attachment. The second attachment shows how the various angles relate to each other. An exterior angle and its adjacent interior angle are a linear pair, so are supplementary.
__
1. BEC is an exterior angle -- False, it is an interior angle
2. DEC is an exterior angle -- True
3. ABE and EBC are supplementary -- True, they are a linear pair
4. BCF and DEC are supplementary -- False, they are unrelated exterior angles
5. BEC is a remote interior angle to BCF -- True
Answer:
Step-by-step explanation:
2,3,5
Helppppp A restaurant is offering 2 specials: 10 burritos for $12, or 6 burritos for $7.50. Noah needs 60 burritos for his party. Should he buy 6 orders of the 10-burrito special or 10 orders of the 6-burrito special? Explain your reasoning.
Answer:
Therefore, he should buy 6 orders of the 10-burrito special.
Step-by-step explanation:
12 x 6 = 72
7.50 x 10 = 75
simplify the monomials
Answer:
1. [tex]-12x^{5}y^{5}[/tex]
2. [tex]\frac{10b^{8} }{a^{3} }[/tex]
3. correct
4. [tex]a^{8}b^{10}c^{15}[/tex]
Step-by-step explanation:
When dividing a monomial by another monomial, we divide the coefficients and apply the quotient law of exponents, x m ÷ x n = x m – n to the variables. If both the monomials have negative coefficients, the negative signs cancel out and the answer so obtained will be having a positive coefficient only.
For example, the binomial 2x +4 can be multiplied by the monomial 4x so that (2x) (4x) equals 8x2 and 4·4x equals 16x, using the distributive property. Therefore, (2x +4) (4x) equals 8x2 + 16x.Mar 15, 2016
Use the Quotient Property. When we divide monomials with more than one variable, we write one fraction for each variable. Use fraction multiplication. Simplify and use the Quotient Property.
12) through: (-5.-5), slope =1/5
A) 5x - y = 20
B) x - 5y = 20
C) 20x - 2y = 1
D) 5y = 2
Answer:
B) x-5y=20
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=1/5(x-(-5))
y+5=1/5(x+5)
y=1/5x+5/5-5
y=1/5x+1-5
y=1/5x-4
1/5x-4=y
5(1/5x-4)=5y
5/5x-20=5y
x-20=5y
x-5y=20
There are 9 students in a service club. The club is making gift baskets for children in a hospital. Each club member donated 4 children’s books for the baskets. Each club member also donated an equal number of toys. A total of 63 items were collected for the baskets. Which linear equation can you use to find how many toys each club member donated?
Answer:
9x + 36 = 63
Step-by-step explanation:
Let x represent the number of toys that each club member donated.
There are 9 students in a service club.
If each club member donated 4 children's books for the baskets, it means that the total number of books donated by the club members would be
9 × 4 = 36
If each club member also donated an equal number of toys. It means that the total number of toys donated by the club members would be
9 × x = 9x
A total of 63 items were collected for the baskets. Therefore, the linear equation that you can use to find how many toys each club member donated would be
9x + 36 = 63
:)
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x represent the number of toys that each club member donated.
There are 9 students in a service club.
If each club member donated 4 children's books for the baskets, it means that the total number of books donated by the club members would be
9 × 4 = 36
If each club member also donated an equal number of toys. It means that the total number of toys donated by the club members would be
9 × x = 9x
A total of 63 items were collected for the baskets. Therefore, the linear equation that you can use to find how many toys each club member donated would be
9x + 36 = 63
F(x)=(x-6)2(x+2)2
Determine number of roots
Answer:
(x - 6)^2 = 0 or (x + 2)^2 = 0
Take the square root of both sides:
x - 6 = 0 or (x + 2)^2 = 0
Add 6 to both sides:
x = 6 or (x + 2)^2 = 0
Take the square root of both sides:
x = 6 or x + 2 = 0
Subtract 2 from both sides:
Answer: x = 6 or x = -2
Step-by-step explanation: the answer is x= 6 or = -2
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Answer:
x = 38 , y = 19
Step-by-step explanation:
using the tangent ratio in the right triangle and the exact valu
tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{19\sqrt{3} }[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )
[tex]\sqrt{3}[/tex] × y = 19[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
y = 19
--------------------------------------------------
using the cosine ratio in the right triangle and the exact value
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{19\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
[tex]\sqrt{3}[/tex] × x = 38[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )
x = 38