16% = 0.16 = [tex]\frac{4}{25}[/tex]
Step-by-step explanation:
Given,
16%
We need to find out the decimal and reduced fraction.
Decimal Fraction
16% = [tex]\frac{16}{100}[/tex] = 0.16
Reduced Fraction
16% = [tex]\frac{16}{100}[/tex] = [tex]\frac{4}{25}[/tex] [ Diving both by 4]
Answer:
0.16 as a decimal
4/25 as a reduced fraction
Step-by-step explanation:
16%
A percentage is an hundred. Hence, the percentage of any number is that number divided by 100.
16% will therefore be 16/100
To decimal form gives 0.16
To a reduced fraction, we have
16/100
Using 2 to reduce
8/50
Using 2 to reduce again
4/25
It can't be reduced with a common number again.
Use the difference of two squares to find the product of 22 and 18. Enter the correct number in each box. ( + )( − ) = ( )2 − ( )2 = 396
Answer:
(20+2) (20-2) = 20² - 2²
20² - 2² = 396
Step-by-step explanation:
from the rule of the difference of two square which states thate
(a + b)(a − b) = a² − b²
therefore, 22 can also be written as (20 + 2),
while 18 can be written as (20 -2)
therefore by the rule of the difference of two square the product of both expression will give
(20+2) (20-2) = 20² - 2² = 400 - 4 = 396
Step-by-step explanation:
= (20 + 2) × (20 - 2)
= 22 × 18
= a^2 - b^2 = 396
= (a + b) × (a - b) = 396
From the above, a = 20 and b = 2.
Therefore,
(20^2) - (2^2) = 396.
A contractor charges $1,200 for 100 square of roofing installed. At this rate,
how much does it cost to have 1,100 square feet installed?
Answer:
$13,200
Step-by-step explanation:
1,100/100 is 11
1200*11=13,200
Answer:
The contractor charges $13,200
For 1,100 square feets
Step-by-step explanation:
To solve the problem we need to understand how to charges
Step one
Given
For each 100 square feet of roofing he charges $1,200
Hence for 1,100 square feet we can see that the charges is 11times
This is because 1100/100= 11
Step two :
Hence he charges 11 times more
Therefore his fee for 1,100 square feet is
1200*11=$13,200
If h(x) = -2x+3 and g(x)= n2 -1, what if h(g(4)) ?
12.
The perimeter of a garden is 82 feet. The length
is 5 more than twice the width. What is the width
of the garden?
A.29feet
C.24 feet
B. 25 feet and 2/3
D. 12 feet
Answer:
D. 12 feet
Step-by-step explanation:
Perimeter of a rectangle = 2(L+W)
Where L is length and W is the width.
Given
perimeter = 82 feet
Length is 5 more than 2w
That’s L = 5 + 2w
Now substitute 5 + 2w for L in the formula above
We have
82 = 2 ( 5 + 2w + w)
Simplify the bracket
82 = 2(5 + 3w)
Distribute 2 into (5 + 3w)
82 = 2 x 5 + 2 x 3w
82 = 10 + 6w
Subtract 10 from both sides
82 - 10 = 10 - 10 + 6w
72 = 6w
Divide both sides by 6
72/6 = 6w/6
12 = w
W = 12 feet
The width of the garden is 12 feet.
Explanation:To find the width of the garden, we can set up an equation using the given information. Let's say the width of the garden is 'w' feet. According to the problem, the length is 5 more than twice the width, so the length would be '2w + 5' feet. The perimeter of a rectangle is equal to twice the sum of its length and width. So, in this case, the perimeter would bec
[tex]2(w + 2w + 5) = 82[/tex]feet. Simplifying this equation, we get 6w + 10 = 82. Solving for 'w', we subtract 10 from both sides and divide by 6, giving us w = 12 feet. Therefore, the width of the garden is 12 feet.
Learn more about Perimeter and dimensions here:https://brainly.com/question/33156479
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3/5 times what equals 2 2/3
Answer:
13 1/3 or 40/3
Step-by-step explanation:
to find the answer you will divide 2 2/3 and 3/5
2 2/3 divided by 3/5
as my Math Teacher says you should do KFC or Keep Flip Change
the equation now is 2 2/3 times 5/3
now you should write 2 2/3 as a improper fraction
2 2/3= 8/3
8/3 times 5/3= 40/3 or 13 1/3
Answer:
13 1/3
Step-by-step explanation:
i think that is it
You have 10 marbles in a bag: 3 blue, 2 green, 4 yellow, and 1 purple. If you close your eyes and choose a marble at random, what is the simple probability that you will choose a blue marble?
Answer:
3/10
Step-by-step explanation:there are 10 marbles all together three blue ones
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
You have 3 possibilities to get a blue marble out of 10
write the following sentence as an equation: x is directly proportional to y and is inversely proportional to the cube of z.
Step-by-step explanation:
x=y
y=1/z^3
Now,
for equation,
x=y=1/z^3
x is directly proportional to y and is inversely proportional to the cube of z.
Then, x = y = [tex]$\frac{1}{z}^{3[/tex].
What is directly proportional and inversely proportional?If y exists directly proportional to x then,
y/x = k
⟹ y = kx
If y exists inversely proportional to x then,
yx = k
⟹ y = k/x
Let, x is directly proportional to y.
It suggests that when all other phrases which affect x exist kept constant, x changes at a rate that exists a constant multiple of the rate at which y changes.
Let, x ∝ y
⟹ x = ky, x ∝ y
⟹ x = ky
Where k is constant.
when you exist told that x exists directly proportional to y.
x = y
y = [tex]$\frac{1}{z}^{3[/tex]
From the given information, we get
x = y = [tex]$\frac{1}{z}^{3[/tex]
Here, x is directly proportional to y and is inversely proportional to the cube of z.
Therefore, x = y = [tex]$\frac{1}{z}^{3[/tex].
To learn more about directly proportional and inversely proportional
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2/3 of a 16 ounce bag how much is needed
Answer:
10 2/3
Step-by-step explanation:
Multiply 16 by 2/3
2/3 *16
32/3
Change the improper faction to a mixed number
10 2/3 of an ounce
Answer:
10.666 Ounces
Step-by-step explanation:
16 Ounces ÷ 3 = 5.333 Ounces
5.333 Ounces × 2 = 10.666 Ounces
Some please help me
There are two ways to solve this problem from the given situation. I'll type out both to help give you a better understanding of this problem.
Method 1: Straightforward, yet complicated
The shaded trapezoid has two base lengths of 25 mm and 50 mm, with a height of 35 mm.
The formula for the area of a trapezoid is the following:
[tex]A=\dfrac{a+b}{2}*h[/tex]
Where a and b are the base lengths and h is the height. Substitute the dimensions of the trapezoid and the formula changes to:
[tex]= \dfrac{25+50}{2}*35[/tex]
Simplifying the equation give us:
[tex]=\dfrac{2625}{2}[/tex]
[tex]=1312.5[/tex]
The trapezoid has an area of 1312.5 mm²
Method 2: Abstract, yet simple
The parallelogram is made up from 2 congruent trapezoids, and one of them is shaded. Thus, we just need to find the area of the parallelogram and divide it by 2 to get the area of a single trapezoid, which will give us the area of the shaded region.
The area formula of a parallelogram is simple, base times height.
The base is 25+50, or 75 mm. The height is 35 mm.
Multiplying these two values gives us 2625 mm². Dividing this by 2 gives us 1312.5 mm². That's the area of a single trapezoid (half the parallelogram), which should also be the area of the shaded region.
This is the same answer we got from method 1.
Conclusion:
The answer is 1312.5 mm²
Both methods give the same answer, which means they each make sure that the other is correct. Let me know if you need any clarifications, thanks!
~ Padoru
Consider P(x) = x4(x − 2)3(x + 1)2. For each zero, determine if the graph crosses the x-axis. How do you know?
Answer:
-1 — does not cross0 — does not cross2 — crossesStep-by-step explanation:
P(x) = x^4(x -2)^3(x +1)^2 has zeros at ...
-1 — multiplicity 2 (does not cross)0 — multiplicity 4 (does not cross)2 — multiplicity 3 (crosses)The zeros that have even multiplicity are points where the graph does NOT cross the x-axis. This is true because an even power of a number does not change sign when the sign of the number changes.
What is the Premeter of 4' square
Answer:
16'.
Step-by-step explanation:
A square has 4 equal sides so it is 4 * 4' = 16'.
Will y’all help me with num 13
Answer:
19,200 square feet
Step-by-step explanation:
Plss help!!! This is just super confusing. : /
Answer:
x^2 +23x +49
Step-by-step explanation:
You know the area of a rectangle is given by the product of its length and width.
The area of the shaded region is the area of the larger rectangle with the area of the square white space subtracted.
The area of the larger rectangle is ...
large area = (length)(width) = (x+10)(2x+5)
Multiplying this out, we find the large area to be ...
large area = 2x^2 +5x +20x +50
large area = 2x^2 +25x +50
The area of the square can be found the same way:
square area = (x +1)(x +1) = x^2 +2x +1
__
Then the shaded area is the difference of these:
shaded area = (large area) - (square area)
shaded area = (2x^2 +25x +50) - (x^2 +2x +1)
shaded area = 2x^2 +25x +50 -x^2 -2x -1 . . . . . . eliminate parentheses
shaded area = x^2 +23x +49 . . . . collect terms
Fencing costs $13.55 per foot. Jenny buys 15.25 feet of fencing. How much did Jenny spend for fencing?
A photographer rented a booth at an art fair for $952. The photographer sold each photograph for $12 and made a total of $1580 after paying for the booth. How many photographs did the photographer sell at the fair?
Answer:
211
Step-by-step explanation:
952 + 1520 then divide by 12
Hannah's necklace is 10 1/5 inches long. Erin's necklace is 2 2/3 times as long as Hannah's. Abot how long is erins necklace
Erin's Necklace is 47.6 inch long.
Step-by-step explanation:
Hannah 's necklace is 10 1/5 inches long which means = (50+1)/5 = 51/5
Erin's necklace is 2 2/3 times = (6+8)/3 = 14/3 longer than Hannah's
Solving for this :
Erin's necklace = [tex]14/3 *51/5[/tex]
⇒ [tex]714/15[/tex]
⇒ 47.6 Inch
Erin's Necklace is 47.6 inch long.
Kendra has $70 Alonso has 1/10 as much money as Kendra Rico has 10 times as much money as Kendra how much money does Alonso have how much money does Mariko have
Answer: Alonso has $7 and Rico has $700
Step-by-step explanation:
Kendra= 70$
Alsonso= 70 * 0.1 = 7$
Rico= 70 *10 = 700$
please give brainliest!
Answer:Alonso has $7 and Rico has $700
Step-by-step explanation:
Kendra= 70$
Alsonso= 70 * 0.1 = 7$
Rico= 70 *10 = 700$
please give brainliest!
The volume of a baseball is about
13.39 cubic inches. What is the diameter? Round to the nearest tenth.
A full explanation would be appreciated.
Answer: 2.9 inches
Step-by-step explanation:
[tex]Volume_{sphere}=\dfrac{4}{3}\pi r^3\\\\\\Given: V=13.39\\\\\\13.39=\dfrac{4}{3}\pi r^3\\\\\\\dfrac{3}{4\pi}(13.39)=r^3\\\\\\\sqrt[3]{\dfrac{3}{4\pi}(13.39)} = r\\\\\\\large\boxed{2.9=r}[/tex]
What is the simplest form of 6 radical 8 plus 8 radical 2
Answer:
20[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplify
[tex]\sqrt{8}[/tex] = [tex]\sqrt{4(2)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{2}[/tex] = 2[tex]\sqrt{2}[/tex]
Thus
6[tex]\sqrt{8}[/tex] + 8[tex]\sqrt{2}[/tex]
= 6(2[tex]\sqrt{2}[/tex] ) + 8[tex]\sqrt{2}[/tex]
= 12[tex]\sqrt{2}[/tex] + 8[tex]\sqrt{2}[/tex]
= 20[tex]\sqrt{2}[/tex]
. Given a bag of 80 marbles with 45 red marbles, 20 blue marbles, 10 green marbles and 5 yellow marbles. How many marbles are blue or green? *
Answer:
30 are blue or green. If you want a fraction, it's 3/8
Step-by-step explanation:
It already states 20 are blue and 10 are green
20 + 10 = 30
and it's out of 80 marbles, so 30/80 which simplified (both divided by 10) is 3/8
Answer:
30 marbles are either blue or green
Step-by-step explanation:
To get the solution add the blue and green marbles up
20+10 = 30
30 marbles are either blue or green
48 is what percent of 642
Answer: 7.48
Step-by-step explanation:
Let the missing percent be x.
The question implies: 48 = x% of 642
Which means x/100 × 642 = 48
Multiply the numerators = x × 642 = 642x
Multiply the denominators= 100 x 1 = 100
Therefore, 642x /100 = 48
Then, cross multiply:
642x = 100 x 48
642x = 4800
Divide both sides by 642 to get the value of x
x = 4800/642
x = 7.48.
6. Write the following multiplications as exponential abbreviations.
a. 5x5
b. 7 x 7 x 7 x 7
c. 2 x 2 x 2
d. 9 x 9 x 9 x 9 9
a. 5²
b. 7⁴
c. 2³
d. 9⁵
Explanation:
An exponent is the number of times a number is multiplied by itself.
a. 5x5 = 5² ( five is multiplied two times)
b. 7 x 7 x 7 x 7 = 7⁴ ( seven is multiplied four times)
c. 2 x 2 x 2 = 2³ ( two is multiplied three times)
d. 9 x 9 x 9 x 9 x 9 = 9⁵ ( nine is multiplied five times)
Final answer:
Exponential abbreviations express repeated multiplication of the same number as a base raised to a power. For example, 5x5 becomes 5², and 7x7x7x7 becomes 7⁴. This notation simplifies multiplication into a more compact and manageable form.
Explanation:
Writing Multiplications as Exponential Abbreviations
To write the given multiplications as exponential abbreviations, we look for repeated factors and express them as a base number raised to the power of how many times it occurs. Here's how to do it:
a. 5x5 is 5 multiplied by itself 1 more time, so it is written as 5².b. 7 x 7 x 7 x 7 is 7 multiplied by itself 3 more times, so it is written as 7⁴ (7 to the fourth power).c. 2 x 2 x 2 is 2 multiplied by itself 2 more times, so it is written as 2³.d. 9 x 9 x 9 x 9 x 9 is 9 multiplied by itself 4 more times, so it is written as 9⁵ (9 to the fifth power).This process simplifies multiplication by using exponents to indicate the number of times a base is used as a factor.
A square has a perimeter of 80 yd. What is the lenght of each side?
Answer: each side is 20 yds.
Step-by-step explanation:
The formula to find the perimeter of a square is 4 × side so therefore if we divide 80 by 4 we get 20 and 20 *4 is 80.
which unit rate is the lowest price per ounce 30 ounces or 40 ounces
Answer:
30 ounces is the lowest price
Step-by-step explanation:
30<40
What is the lowest common denominator of x+9/2x and 14/x-5?
Step-by-step explanation:
Denominators of both the fractions are 2x and (x - 5)
Therefore,
Lowest common denominator
[tex]= 2x \times (x - 5) \\
= 2 {x}^{2} - 10x[/tex]
If x = 3 units, y = 6 units, and h = 4 units, find the area of the rhombus shown above using decomposition.
Whats the Area?
Answer:
= 12 square units
Step-by-step explanation:
Please look at the photo attached below, I think it is fit with your question
To find the area, substitute the values given in the question into the formula given below.
Area = base • height
= x • h
= 3 units • 4 units
= 12 square units
Answer:
the answer is 24
Step-by-step explanation:
because if you are in study island it says 24
How many times does six go into 420
Answer:
70
Step-by-step explanation:
Step 1: Divide
420 / 670
70
Answer: 70
Vanessa was making baggies of cookies with Six cookies in each bag. If she had twenty-five chocolate cookies and twenty-nine oatmeal cookies, how many baggies could she make?
HELPPPPP :Expressions: Multiple choice: picture provided. With questions and answer choices. USA test prep question
Option B:
[tex]$x=\pm 2\frac{1}{2}[/tex]
Solution:
Given expression:
[tex]$3 x^{2}=18 \frac{3}{4}[/tex]
To find the value of x:
[tex]$3 x^{2}=18 \frac{3}{4}[/tex]
Convert mixed fraction into improper fraction.
[tex]$3 x^{2}= \frac{18\times 4+3}{4}[/tex]
[tex]$3 x^{2}= \frac{75}{4}[/tex]
Divide by 3 on both sides of the equation, we get
[tex]$x^{2}= \frac{25}{4}[/tex]
[tex]$ x^{2}= \frac{5^2}{2^2}[/tex]
Taking square root on both side of the equation.
[tex]$\sqrt{ x^{2}}= \sqrt{\frac{5^2}{2^2}}[/tex]
[tex]$ x=\pm \frac{5}{2}[/tex]
Convert improper fraction into mixed fraction.
[tex]$x=\pm 2\frac{1}{2}[/tex]
Hence option B is the correct answer.
How many apples is 5 plus 5
Answer:
10 apples
5+5 is 10
there are 10 apples. since 5 plus 5 is ten.