Answer:
[tex]\frac{9}{100}[/tex]
Step-by-step explanation:
According to the map, North America makes up [tex]\frac{16}{100}[/tex] of the world's land surface area, while Europe makes up [tex]\frac{7}{100}[/tex]. Since both fractions already have a common denominator ( [tex]\frac{n}{100}[/tex] ), we can simply subtract the two to find how much greater the fractional part of North America is than the fractional part of Europe:
[tex]\frac{16}{100}-\frac{7}{100}=\frac{9}{100}[/tex]
Convert 0.8 grams to grains
Answer:
12.3459 grains
Step-by-step explanation:
Answer:
12.346 grains
Step-by-step explanation:
for an approximate result, multiply the mass value by 15.432
( which is basically 0.8 times 15.432)
The green basilisk enclosure will include a rectangular pond in one corner. The width of the
pond will be 3 inches less than the width, w, of the enclosure.
W-3
The area of the water's surface is given by this expression: w² - w - 6.
Question
Question 1
Factor the area expression, w² - w - 6.
Replace the values of A and B to write the expression in factored form.
(w - A) (w + B)
After factorization we get the two terms ( w - 3 ) ( w + 2 )
And the values of A and B as 3 and 2 respectively .
That is A = 3 and B = 2.
The given expression is w² - w - 6.
This question can be calculated easily by middle term split
First step is to multiply the first and the last term
which will give us - 6
thus now we have to look for two number which when either added or subtracted will give us - 1
Thus we can write it as :
w² - 3 w + 2 w - 6
Now take the terms which are common
and we will get
w ( w - 3 ) + 2 ( w - 3 )
( w - 3 ) ( w + 2 )
Thus if we compare it with (w - A) (w + B)
we will get the values of A and B as
3 and 2 respectively .
That is A = 3 and B = 2
To know more about factorization you may visit the link which is mentioned below:
https://brainly.com/question/20293447
#SPJ13
Whats ?? Also right an addition expression to get the same answer Answer ASAP
Answer:
p=-10
Step-by-step explanation:
-10-20=-30
Subtracting a negative from a negative will result in a higher negative, the same can be said for -10-20. Removing 10 from -20 will result in a lower answer. This is 20.
“on the following checking account record, enter the figures and add or subtract them to keep the running total correct”
will mark brainliest and 100 points :))
The running total is $95.27.
There are two types of records, Active and Inactive. There are also two major classifications, Vital and Important.
Why is record keeping important?In order to create reliable financial statements, you need good records. These consist of balance sheets and income (profit and loss) statements. These statements might assist you in managing your business and dealing with your bank or creditors.He opened the account with $299.88. He subsequently wrote many cheques, from which you deduct the sum of 299,88.
He deposited a check, thus 299.88-90.48= 209.40, 209.40 - 65.00= 144.40, and then he added $381.33 to 144.40 to get 525.73.
then you need to deduct more since he wrote more checks.
Consequently, 525.73-54.47=471.26, and 471.26-375.99=95.27, giving him a balance of $95.27.
Good Records entail documents comprising recorded data that show the efficacy of the quality management system, independent of the format or feature.To learn more about record keeping refer to:
https://brainly.com/question/25132652
#SPJ13
The current total is $95.27. Active and Inactive records are the two types of records. There are two major classifications as well: Vital and Important.
Why is record keeping important?Good records are required to create reliable financial statements. Balance sheets and income (profit and loss) statements are included. These statements may help you manage your company and deal with your bank or creditors.
Good Records are documents that contain recorded data that demonstrate the effectiveness of the quality management system, regardless of format or feature.
Given,
He deposited into the account = $299.88
He then wrote a number of cheques, from which you deduct = $299,88.
He deposited a check, thus 299.88 - 90.48
= 209.40, 209.40 - 65.00
= 144.40
and then he added $381.33 to 144.40 to get 525.73.
then you need to deduct more since he wrote more checks.
Consequently,
525.73 - 54.47
=471.26
and 471.26-375.99
= 95.27
As a result, The gives him a balance of $95.27.
To learn more about record keeping, refer to:
https://brainly.com/question/17582829
#SPJ13
Sebastian bought x gallons of gas at a price of $2.91 per gallon at his local gas station. When he paid for the gas, Sebastian also paid $11.40 for granola bars and a box of tissues.
If Sebastian filled 10 gallons of gas, how much did he spend in all at the gas station?
A. $3.92
B. $24.71
C. $40.50
D. $116.91
If Sebastian filled 10 gallons of gas, the total amount he spent at the gas station was C. $40.50.
How is the total amount determined?Using the mathematical operations of multiplication and addition, we can compute the total amount that Sebastian spent at the gas station.
We first determine the total cost of gas that Sebastian bought by multiplying the unit cost by the quantity.
Secondly, we add the above total cost to the total cost of other items he bought at the station to arrive at the total amount spent.
The cost of gas per gallon = $2.91
The number of gallons of gas bought = 10
The total cost of gas = $29.10 ($2.91 x 10)
The total cost of granola bars and tissues = $11.40
The total amount spent = $40.50 ($29.10 + $11.40)
Thus, mathematically, Sebastian spent C. $40.50 at the gas station.
Learn more about mathematical operations at https://brainly.com/question/20628271
#SPJ1
The digit 7 appears twice in
the product.
Answer:
The numbers in which 7 appears are. 7, 17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97, 107. So, counting all. ∴ Number of times 7 appears = 21
3. Simplify the expression below.
√-100-2√√-16
A. -12i
B. -2i
C. 12i
D. 2i
Eugene has a collection of 140 pet rocks. Of these rocks, 35% are sedimentary, 40% are igneous, and the rest are metamorphic. How many are metamorphic?
Answer:
25% or 35 rocks.
Step-by-step explanation:
To find this answer, simply add up 40% and 35% to get 75%. Now, 100% is the most we can have. So, 100 - 75 = 25%.
To find even more in depth of exactly how much 25% of 140 is, we can simply move the decimal point from 25 over twice to get 0.25. The term "of" means multiply:
0.25 x 140 = 35 rocks.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
In order for a gear to work in a piece of machinery, the radius of the gear, r, must be greater than 4 cm, but not exceed 4.1 cm. Which compound inequality represents the situation?
r > 4 and r ≤ 4.1
r > 4 or r ≤ 4.1
r < 4 and r ≥ 4.1
r < 4 or r ≥ 4.1
Answer:cap
Step-by-step explanation:C A P
Solve The Problem
All the students in grades
and are going on a field trip to Coney Island
Each grade has 125 students. The cafeteria needs to pack lunches. About how
many students are going on the trip? Represent the exact amount of students
in all three grades using an array, How many students are there altogether? Please help me thank you
The total number of students going on a trip is 375 students.
Given that,
The entire third through fifth graders are taking a field trip to Coney Island. There are 125 pupils each grade. The cafeteria should provide lunches.
We have to find how many students will be travelling on the trip.
So,
In Grade 3 we have 125 students.
In Grade 4 we have 125 students.
In Grade 5 we have 125 students.
So,
Total number of students going on trip = Number of students in Grade 3 + Number of students in Grade 4 + Number of students in Grade 5
= 125 + 125 + 125 = 375.
Therefore, The total number of students going on a trip is 375 students.
To learn more about number visit: https://brainly.com/question/17429689
#SPJ1
Alex house is 15 blocks from school. Carlene lives 7 blocks from Alex's house. Which equation represents the location of Carlene's house in relation to the school?
|x+7|=15
|x-7|=15
|x+15|=7
|x-15|=7
Answer:
Answer is b
Step-by-step explanation:
Because
|x-7|=15--->x=15+7, x=22Help pls I will give brainliest!!
Answer:
C. -16
Step-by-step explanation:
Hope this helps you! :))
16
Step-by-step explanation:
the answer is c
just took a test and I got it right
What should be added to 5/6 to get 41/24
Answer: 26/24
Step-by-step explanation:
First we have to convert 5/6 with a denominator of 24 so 6 times what makes 24, that is 4 & whatever you do with the denominator, you have to do it with the numerator. So 5 times 4 is 20, the new fraction is 20/24. Now, we need to find what we need to add with 20/24 to get 41/24, so we subtract 20/24 from 41/24 & that is 21/24. We can check if it's correct by adding both 21/24 and 20/24 & that makes 41/24.
Last year, Leila opened an investment account with $8800. At the end of the year, the amount in the account had decreased by 6%.
Answer:
The new value is $8,272
Step-by-step explanation:
8800 x (1 - 0.06) = 8272
Seven of the angles of a decagon have measures whose sum is 1220. Of the remaining 3 angles, exactly two are complementary and exactly two are supplementary. Find the measures of these three angles.
The measures of the remaining three angles of the decagon are 40, 50 and 130 degrees.
How to find angles of a decagon?A decagon simony means a polygon with 10 sides. In a regular decagon, the interior angles add up to 1440 degrees, and the exterior angles add up to 360 degrees.
Complementary angles sum up to 90 degrees while supplementary angles sum up to 180 degrees.
Therefore,
1440 - 1220 = 220
Let the angles be a, b and c.
Therefore,
a + b + c =220
a + b = 90
b + c = 180
Hence,
a = 220 - 180
a = 40°
b = 90 - 40
b = 50°
c = 180 - 50
c = 130°
The angles are 40°, 50° and 130°.
Learn more on decagon on:
brainly.com/question/28152152
#SPJ1
A middle school principal is signing the diplomas of the school's graduating eighth graders. She previously signed 37 diplomas. Now, she is signing more diplomas at a rate of 0.5 per second.
Write an equation that shows how the total number of diplomas signed, y, depends on the number of seconds the principal spends signing them, x.
y=
An equation that shows how the total number of diplomas signed depends on the number of seconds the principal spends signing them is y = 37 + 0.5x.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
In this case, let x be number of seconds the principal spends signing them. The principal already signed 37 diplomas. Th equation to illustrate this is 37 + 0.5x.
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
Use the drawing tools to graph the solution to this system of inequalities on the coordinate plane.
y> 2x+4
x+y≤6
The graph of inequalities equation on coordinate plane is given below ↓↓↓
Difference between equality and inequality equations
Both mathematical phrases, equality and inequality , are created by connecting two expressions.The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols show that the two expressions in an inequality are not always equal: >, <, ≤ or ≥. Or in simple words the equation which has '=' sign is an equality equation while the inequality equation has the signs are >, <, ≤ or ≥.
The inequalities equation is ,
y> 2x+4
x+y≤6
so, the graph is ↓↓↓
To read more about Inequality Equation
https://brainly.com/question/24372553
#SPJ1
Use the equation below to find v, if u = 18, a = 6, and t = 4
v = u + at
The value of v from the given equation v=u+at is 42
What is an equation?An equation is a mathematical expression that contains an equals symbol
From the given equation v=u+at
u=18
a=6
t=4
Substituting for u,a and t in the equation
v=18+6(4)
expanding the bracket
v=18+24
v=42
Hence, the the v in the equation v=u+at is 42
Learn more about equation on:https://brainly.com/question/18831322
#SPJ1
Which ratio is equivalent to 9 : 180?
Answer:
18:360 is the correct answer
Solve: √x-4= -2
a) x=2
b) x=8
c) There is no solution.
d) x=0
Answer: There is no solution
Step-by-step explanation:
The formatting of the question isn't clear, but I'll still explore both possibilities. If the square root is only applied to x, we can solve for the variable by adding 4 to both sides and then squaring both sides, which would give us 4. Since that is not an answer choice, it means the square root applies to x-4. With this problem, we square both sides right away. That gives us x=0, but plug 0 back into the original equation. Doing so gives us the square root of -4, which is not possible with real numbers, only with imaginary numbers.
Pedro walks 3/8 of a mile in a 1/4 of an hour. How many miles does he walk in an hour
Answer:
S=3/8 miles
T=1/4 hour
V=S/T = 3/8 ÷ 1/4 = (3×4)÷8 = 3/2 miles in an hour
If y varies directly as x, find the constant of variation and the direct variation equation for the situation.
y = 0.1 when x = 0.2
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" varies with "x"}}{y=kx}\hspace{5em} \textit{we know that} \begin{cases} y=0.1\\ x=0.2 \end{cases} \\\\\\ 0.1=k(0.2)\implies \cfrac{0.1}{0.2}=k\implies 0.5=k\hspace{5em}\boxed{y=0.5x}[/tex]
Choose from the drop-down menus to match the trigonometric expression with its value
The values that match the various trigonometric identity are;
1) sin²/₅π cos π/₁₀ + cos²/₅π sin π/₁₀ = 1
2) cos 13 cos 47 + sin 13 sin 47 = 0.5
3) sin²/₅π cos ⁸/₅π + cos²/₅π sin ⁸/₅π = 0
How to solve Trigonometric Identities?Trigonometric identities are defined as the equations that involves the trigonometric functions that are true for every value of the variables involved.
1) We know that the trigonometric identity sin(A + B) is expressed as;
sin(A + B) = sinAcosB + cosAsinB
We are given;
sin²/₅π cos π/₁₀ + cos²/₅π sin π/₁₀
Applying the trigonometric identity above, gives us;
sin(²/₅π + π/₁₀)
= sin(5π/10)
= sin(π/2)
= 1
2) We know that the trigonometric identity sin(A + B) is expressed as;
cos(A + B) = cosAcosB − sinAsinB.
We are given;
cos 13 cos 47 + sin 13 sin 47
Applying the trigonometric identity above, gives us;
cos(13 + 47)
= cos 60
= 0.5
3) We know that the trigonometric identity sin(A + B) is expressed as;
sin(A + B) = sinAcosB + cosAsinB
We are given;
sin²/₅π cos ⁸/₅π + cos²/₅π sin ⁸/₅π
Applying the trigonometric identity above, gives us;
sin(²/₅π + ⁸/₅π)
= sin(¹⁰/₅π)
= sin(2π)
= 0
Read more about Trigonometric Identity at; https://brainly.com/question/7331447
#SPJ1
Which ordered pair is a solution of the equation? 2 x + 4 y = 6 x − y 2x+4y=6x−y
The solution to the equation given as 2x + 4y = 6x − y has the ordered pair of (3, 4)
How to determine the ordered pair of the solution?From the question, we have the following equation that can be used in our computation:
2x+4y=6x−y
Solving further, we need to collect the like terms
So, the equation becomes
2x - 6x = -4y - y
Next, we evaluate the like terms in the above equation
So, we have the following representation
-4x = -3y
Divide both sides by -3
The equation becomes
x = 3/4y
At this point, we assume any value for y and then solve for x
Assume that the value of y is 4
So, we have the following representation
x = 3/4 * 4
Evaluate the products
x = 3
So, we have
x = 3 and y = 4
Express as ordered pairs
(x, y) = (3, 4)
Hence, the ordered pair of the solution is (3, 4)
Read more about ordered pair at
https://brainly.com/question/1528681
#SPJ1
what’s the x intercept of a table with 22,27,32
The x-intercept of the table of values is 12 or (12, 0).
How to Find the X-Intercept of a Table?To find the x-intercept of a table that represents a linear relationship between x and y, first write the equation that models the table.
To write the equation, first find the slope (m) using two pairs of values, say, (22, 36) and (27, 54)
Slope (m) = (54 - 36)/(27 - 22)
Slope (m) = 18/5
Write the equation that represents the table of values by substituting (a, b) = (22, 36) and m = 18/5 into y - b = m(x - a):
y - 36 = 18/5(x - 22)
To find the x-intercept, substitute y = 0 into the equation, y - 36 = 18/5(x - 22) to find the value of x:
0 - 36 = 18/5(x - 22)
-36 = 18/5(x - 22)
5(-36) = 18(x - 22)
-180 = 18(x - 22)
-180/18 = x - 22
-10 = x - 22
-10 + 22 = x
12 = x
x = 12
The x-intercept is 12 or (12, 0).
Learn more about the x-intercept on:
https://brainly.com/question/17932786
#SPJ1
11. Corey bought 25 gallons of gas to fill up his pickup truck. He paid for the part of the total with a $25 gift card and was left owing $26. How much did he pay per gallon for the gas?
Answer:
I believe that the answer is $2.04, per gallon.
Step-by-step explanation:
I added the $25 he paid with the gift card, and the $26, which was $51 that Corey paid in total. Corey had gotten 25 gallons and they want to figure out how much he paid for each gallon. So we take the total he spent divided by the number of gallons he had gotten. So 51/25=2.04
Hope this helps!!!!
Write log₂ A as a natural logarithm.
Answer:
ln A / ln 2
Step-by-step explanation:
Using the change of base rule: ln A / ln 2
Factor 64+ 60. Write your answer in the form a(b + c) where a is the GCF of 64 and 60
Given: m//n
Prove: angle 1 and angel 4 are supplementary
⇒ Supplementary angles are angles that add up to 180°
⇒ ∠1+∠2=180°(angles on a straight line)
∠2=∠4( Corresponding angles are equal m||n)
⇒*NOTE THE FOLLOWING STATEMENT IS TO MAKE YOU UNDERSTAND,IT MUST NOT BE INCLUDED IN YOUR ANSWERBOOK)
If ∠2=∠4
in the place of ∠2 in the equation ∠1+∠2=180° we can substitute ∠4 since the two angles (∠2 and ∠4) are equal by corresponding angles
______________________________________________________
⇒You may include this step now as you now know how ∠4 came up.
∴∠1+(∠4)=180°
∠1+∠4=180°
Now from the above equation we can see that ∠1 and ∠4 are supplementary angles as they both add up to 180°
Is 4.5 greater, less than, or equal to 4 and 1/2
Answer:
equal to
Step-by-step explanation:
4 + 1/2= 4+ 0.5= 4.5
4.5=4.5