Proportionately, the quantity of ore required to obtain 30 kilograms of silver is 2,000 kilograms.
What is proportion?Proportion refers to two or more ratios equated to each other.
We can use decimals, fractions, or percentages to show the proportional value of one quantity or variable to another.
The quantity of ore that can produce 30 kilograms of silver, based on the given proportion, can be obtained by equating the ratio to the required silver quantity.
The percentage of ore that is pure silver = 1¹/₂% = (0.015)
The quantity of silver needed = 30 kilograms
The quantity of ore that can produce 30 kilograms of silver = 2,000 kilograms (30/0.015)
1¹/₂% = 30 kg
100% = 2,000 kg (30/1¹/₂%)
Thus, given the ratio or proportion of pure silver to ore, the quantity of ore needed to obtain 30 kilograms of silver is 2,000 kilograms.
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a sector of a circle of radius 10cm has an area of 25cm^2 find the angle at the centre of the circle ( take TT = 3.14) brainly
The angle at the center of the circle will be;
⇒ θ = 0.5 radian
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
A sector of a circle of radius 10 cm and has an area of 25 cm².
Now,
Since, We know that;
⇒ A = 1/2 r²θ
Where, A is area of circle , r is radius of circle and θ is the angle at the center of the circle.
Here, A sector of a circle of radius 10 cm and has an area of 25 cm².
Substitute all the given values, we get;
⇒ A = 1/2 r²θ
⇒ 25 = 1/2 × 10² × θ
⇒ 25 = 50 × θ
⇒ θ = 25 / 50
⇒ θ = 0.5 radian
Thus, The angle at the center of the circle = 0.5 radian
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the point (2, 6) is located on a line with slope of 3. which point could also be located on the line?
Answer
using y = mx+c
where m is the slope and c
6 = 3(2)+c
6 = 6 + c
c= 0
Y-intercept is where the line passes through the y-axis, which is where x = 0
So, when x = 0, y = 0
Another point on the line, then, is {0,0}
At American Eagle a shirt is on sale from 25 to 15 what is the percent of change for the shirt
Answer:
Percent change = 15 - 25/25 × 100% = -10/25 × 100 = -40%
Step-by-step explanation:
Answer:
5 percent
Step-by-step explanation:
divide 25 by5 which gives you percent
Ubehebe Crater in Death Valley has a diameter of a little more than mile. If Latisha walks around its
rim at a rate of 2 miles per hour, about how long will it take her to walk all the way around the crater? Find your
answer to the nearest tenth. Use 3.14 for pi
On solving the provided question we can say that the it will 4 hrs to walk all the way around the crater, on doing the radius.
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle. Diameter
here,
D= 1
r = 1/2 = .5
A = 40
T = 40/10 4 hrs.
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five less than four times a number is greater than or equal to 3. Is 2 a solution?
The statement five less than four times a number is greater than or equal
to 3 indeed has a solution results to 2.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A statement five less than four times a number is greater than or equal to 3.
Let, The unknown number be 'n'.
Therefore, The numerical form of the statement is,
4n - 5 ≥ 3.
4n ≥ 8.
n ≥ 2.
So, Yes 2 is a solution.
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Directions: Determine whether each relation is a function. Explain your answer.
X
12)
10)
#IN
13)
x
14)
15)
10
1
Therefore ,We can infer the following from the rule for when a relation represents a domain and range : 16) Is not a function. 18) Is not a function, while 17) Is one.
What is a domain?The domain of a function is the set of possible values that it can accept. The x-values of a function like f are represented by these numbers (x). A function's domain is the set of possible values on which it can be used. This set is the value that the function returns after the insertion of the x value. Y = f is the definition of a function with x as the independent variable and y as the dependent variable (x). A value of x is said to be in a function's domain if it can be successfully used to produce a single value of y by using the value of x.
Here,
we have that for this issue:
It is not a function in item 16 since input 5 is translated to outputs 2 and 4.
Item 17 is a function since each input is assigned to a single output.
It is not a function in item 18 since input -2 is mapped to outputs 13 and 15.
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Helpp!!! Im stuck on this question!!!
for an inequality graph, if the line is dashed, that means that the border line is not part of the shaded region, so any points on it are not a solution of it, any points inside the shaded region or "true" region are solutions to it, only if the border line is solid then the border is part of the "true" region, Check the picture below.
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,240 ft Determine the flag's width and length if the length is 460 ft greater than the width.
Answer:
the flag is 50 feet long and 160 feet wide
Answer: The width is 330 feet and the length is 790 feet.
Step-by-step explanation:
We will write a system of equations to help us solve. Let w be the width and l be the length.
2w + 2l = 2,240 ft
l = 460 ft + w
Now, we will solve for w, the width, by substituting one equation into the other.
2w + 2l = 2,240 ft, l = 460 ft + w
2w + 2(460 ft + w) = 2,240 ft
2w + 920 ft + 2w = 2,240 ft
4w + 920 ft = 2,240 ft
4w = 1,320 ft
w = 330 ft
The width is 330 feet.
Now, we will solve for l, the length.
l = 460 ft + w, w = 330 ft
l = 460 ft + 330 ft
l = 790 ft
The length is 790 feet.
An engine spins a wheel with radius 5 inches at 800 rpm. How fast is this wheel spinning in miles per hour?
The wheel is spinning at 23.80 miles per hour
How determine how fast the wheel spinning in miles per hour?The wheel speed in miles per hour can be calculated using the expression below:
Speed in miles per hour = Wheels RPM × 2 × π × r × (60 / 63360),
where r is the radius of wheel , 60 converts minute to hour and 63360
converts inches to miles
Speed in miles per hour = 800 × 2 × π × 5 × (60 / 63360)
Speed in miles per hour = 23.80 miles per hour
Thus, the wheel spins at 23.80 miles per hour
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5700 dollars is placed in an account with an annual interest rate of 6.5%. To the nearest year, how long will it take for the account value to reach 20900 dollars?
It will it take 56 years for the account value to reach $20,900.
What is Simple Interest?This amount is calculated based on the principal amount of a loan or the first deposit in a savings account. Simple interest does not compound, thus, a creditor will only pay interest on the principal amount and a borrower would never have to pay more interest on the previously accumulated interest.
formula for calculating Simple Interest, S.I:
S.I = P * R * T
100
Where,
S.I = Simple Interest
P =Pricipal
R = rate ( in percentage)
T= Time
To how long will it take for the account value to reach $20,900
S.I = $20,900
R = 6.5%
P =$ 5,700
T =?
S.I = P * R * T
100
$20,900 = $ 5,700 * 6.5 * T
100
Cross multiplying and Making Time, T subject of the formula we have:
$20,900 * 100 = $ 5,700 * 6.5 * T
T= $20,900 * 100
$ 5,700 * 6.5
T= 56.41
T ≈ 56 years
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alex, beverly and carl live on the same straight road. alex lives 12 miles from beverly and carl 4 mies from berve,y, how far does alex live from carl?
100 points Pls help me with the red ones
if 6p = 120 what is p
Answer:
p = 20
Step-by-step explanation:
120 divided by 6 would = 20
Answer: p = 20
Step-by-step explanation:
120/6=20
6x20=120
16^x^2
= 8⁰
I’ll put a picture of it so you can better understand it. Also I’ll give you 30 points, so one of you better answer by 10:00 tomorrow.
Answer:
x=0
Step-by-step explanation:
[tex]16^{x^2}=8^0\\\\16^{x^2}=1\\\\x^2\ln(16)=0\\\\x^2=0\\\\x=0[/tex]
A pump takes 20 minutes to empty a 200 gallon tank. How long to empty 450 gallon tank? a. 40 minutes, b. 30 minutes, c. 60 minutes, d. 45 minutes
Quintin raked his customer’s lawn for 1.2 hours. If Quintin charges $20 per hour, how much money did he make?
23.9 dollars I believe (I needa waste characters thi)
solve y=(1/2)x exponential graph
The value of the exponential graph y = ( 1/2 )ˣ is graphed
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
y = ( 1/2 )ˣ be equation (1)
On simplifying the equation , we get
y = 1 / (2ˣ)
Now , the graph of the function y = ( 1/2 )ˣ will be a slanting line which will not touch the x axis and passes through the point y = 1
The graph of the function y = ( 1/2 )ˣ is given below
Hence , the function is solved and the graph is plotted
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i dont understand this help
laucs ori nisiquiera estoy en universidad estoy en eseyo pe
5x-21=-2x+28 given
Prove x=7
i hope this helped you xx
5+1r-2=9
Please explain step by step
Answer: 6
Step-by-step explanation:
Please help!!! I don’t know this answer ?
They will walk 6 laps and run 10 laps for a total of 16 miles considering each lap is of 1 mile.
What is mile?The mile is a customary unit of measurement in both the United States and the United Kingdom that is based on the older English unit of length equal to 5,280 English feet, or 1,760 yards. It is also referred to as the international mile or statute mile to distinguish it from other miles.
In 1959, the statute mile was formally redefined with respect to SI units as exactly 1,609.344 metres, establishing a standard between the British Commonwealth and the United States.
With qualifications, mile is also used to describe or translate a wide range of units derived from or approximately comparable to the Roman mile, such as the nautical mile (now exactly 1.852 km), the Italian mile (roughly 1.852 km), and the Chinese mile (now 500 m exactly).
6 laps + 10 laps = 16 laps
1 mile each laps = 16 miles
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What is the product of this expression? −1/4(8x−3/4)
Answer:
-6.1625
Step-by-step explanation:
-1/4=-0.85
-3/4=-0.75
-0.85*8x=-6.8
-0.85*-0.75=0.6375
-6.8+0.6375=-6.1625
Help soon would be greatly appreciated
The Kimbroughs'
home has a replacement value
of $82,700. They are insuring it for 80% of the
replacement cost.
a. What is the amount of insurance?
b. What is the amount of coverage for
personal property?
c. What is the amount of coverage
for loss of use?
d. What is the amount of coverage for the garage?
According to the information the amount of insurance would be $66,160, the amount of coverage for personal property would be $41,350, the amount of coverage for loss of use would be $16,540 and the amount of coverage for garage would be $8,270.
How to calculate the amount of each insurance?To calculate the amount of each insurance we have to take into account the main value ($82,700) and the percentage of each insurance. Then, we have to calculate every percentage value as shown.
A. What is the amount of unsurance?$82,700 / 100 = 827827 * 80% = $66,160B. What is the amount of coverage for persona property?$82,700 / 100 = 827827 * 59% = $41,350C. What is the amount of coverage for loss of use?$82,700 / 100 = 827827 * 20% = $16,540D. What is the amount of coverage for the garage?$82,700 / 100 = 827827 * 10% = $8,270Learn more about insurance in: https://brainly.com/question/27822778
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9789 dived by 11 that’s it
Answer: 889.909090909
Step-by-step explanation:
divide
4/9 dividend by 2/3 =
Please help!!!will give brainlest
Answer:
2/3
Step-by-step explanation:
4/9 divided by 2/3 = 4/9 times 3/2
= 2/3
17. Higher Order Thinking In 4th grade,
Richard read 37 books. In 5th grade, he read
9 more books than the year before. This
year, in 6th grade, Richard plans to read at
least 12 more books than the total number
of books read in both 4th and 5th grades.
Richard writes the inequality b≥ 180 to
show the total number of books he will
have read in 4th, 5th, and 6th grades. Is his
inequality correct? Why or why not?
Step-by-step explanation:
No, Richard's inequality is not correct. In order to determine the correct inequality, we first need to find the total number of books that Richard read in 4th and 5th grade. In 5th grade, he read 9 more books than in 4th grade, so the total number of books he read in 5th grade was 37 + 9 = 46 books. The total number of books he read in 4th and 5th grade is therefore 46 + 37 = 83 books.
Since Richard plans to read at least 12 more books than the total number of books he read in 4th and 5th grade, he needs to read at least 83 + 12 = 95 books in 6th grade. In order to have read at least 180 books in total over 4th, 5th, and 6th grade, his inequality should be b ≥ 180. However, b represents the number of books he plans to read in 6th grade, which means the inequality should be 95 ≥ 180, which is not true. Therefore, Richard's inequality is not correct.
(Linear Relationships LC)
Which of the following tables represents a linear relationship that is also proportional?
x y
0 3
3 6
6 9
x y
0 4
2 6
4 8
x y
0 0
6 3
12 6
x y
0 3
5 5
10 7
PLEASE I NEED HELP ASAP
All the table show the linear relationship, but none of the table show the proportional relationship.
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
Given:
A). x → y
0 → 3
3 → 6
6 → 9
To show the linear relationship:
We have to find the constant first difference.
That means,
6-3 = 3
And 9 - 6 = 3
The values of this table show the linear relationship.
To show the proportional relationship:
Let x/y = k (k is constant)
We have to find the k:
0/3 = 0,
3/6 = 1/2,
6/9 = 2/3.
The values of this table do not show the proportional relationship.
B). x → y
0 → 4
2 → 6
4 → 8
To show the linear relationship:
We have to find the constant first difference.
That means,
6-4 = 2
And 8 - 6 = 2
The values of this table show the linear relationship.
To show the proportional relationship:
Let x/y = k (k is constant)
We have to find the k:
0/4 = 4,
2/6 = 1/3,
4/8 = 1/2.
The values of this table do not show the proportional relationship.
C). x → y
0 → 0
6 → 3
12 → 6
To show the linear relationship:
We have to find the constant first difference.
That means,
3-0 = 3
And 6 - 3 = 3
The values of this table show the linear relationship.
To show the proportional relationship:
Let x/y = k (k is constant)
We have to find the k:
0/0 = undefined,
6/3 = 2,
12/6 = 2.
The values of this table do not show the proportional relationship.
D). x → y
0 → 3
5 → 5
10 → 7
To show the linear relationship:
We have to find the constant first difference.
That means,
5 - 3 = 2
And 7 - 5= 2
The values of this table show the linear relationship.
To show the proportional relationship:
Let x/y = k (k is constant)
We have to find the k:
0/3 = 0,
5/5 = 1,
10/7 = 10/7.
The values of this table do not show the proportional relationship.
Therefore, none of the table show the proportional relationship.
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Elijah is going to send some flowers to his wife. Kingwood Florist charges $1 per rose, plus
$20 for the vase. Anita's Flowers, in contrast, charges $3 per rose and $10 for the vase. If
Elijah orders the bouquet with a certain number of roses, the cost will be the same with
either flower shop. How many roses would there be?
Answer:
There will be 5 roses.
Step-by-step explanation:
Let r = the number of roses.
Total cost =
numberof Roses × price per rose AND cost of vase
Total at Kingwood's
= 1r + 20
Total at Anita's
= 3r + 10
We are looking for r (the number of roses) when the totals at either place are the same.
Set them equal to each other.
1r + 20 = 3r + 10
Subtract 1r.
20 = 2r + 10
Subtract 10.
10 = 2r
Divide by 2.
10/2 = r
5 = r
When Elijah buys 5 roses, the cost is the same at either florist.
Check:
at Kingwood's
= 1r + 20
= 1(5) + 20
=25
At Anita's
= 3r + 10
= 3(5) + 10
= 15 + 10
= 25
5 roses costs $25 at either florist.
What is equivalent to " two more than three times a number is seven
Answer:
if it’s asking for a numerical answer it would be 1.67
(Rounded to the nearest two)
Step-by-step explanation:
Find the value of x that makes the quadrilateral a parallelogram?
Answer:
5
Step-by-step explanation:
since the sides of parallelogram are parallel
then 3X+3 = 4X-2 (they are equal because they are alternating angles )
3X+3 = 4X-2 subtract 3X from both sides
3 = X-2. add 2 to both sides
X= 5
Answer:
x = 5
Step-by-step explanation:
As the diagonals of a parallelogram bisect each other (divide into two equal parts):
[tex]\implies 2x+1=x+6[/tex]
[tex]\implies 4x-2=3x+3[/tex]
Solve the first equation for x:
[tex]\implies 2x+1-1=x+6-1[/tex]
[tex]\implies 2x=x+5[/tex]
[tex]\implies 2x-x=x+5-x[/tex]
[tex]\implies x=5[/tex]
Solve the second equation for x:
[tex]\implies 4x-2+2=3x+3+2[/tex]
[tex]\implies 4x=3x+5[/tex]
[tex]\implies 4x-3x=3x+5-3x[/tex]
[tex]\implies x=5[/tex]
Therefore, the value of x that makes the quadrilateral a parallelogram is:
x = 5