Answer:
His commission on the boat he sells is $6250.
Step-by-step explanation:
Given:
Mr. Norris is paid a 5% commission on each boat he sells.
Now, to find his commission on a boat that he sells for $125,000.
Commission = 5%.
Boat he sell for = $125,000.
Now, to get the commission on the boat he sells:
5% of $125,000.
[tex]=\frac{5}{100} \times 125000[/tex]
[tex]=0.05\times 125000[/tex]
[tex]=\$6250.[/tex]
Therefore, his commission on the boat he sells is $6250.
Final answer:
Mr. Norris's commission on a boat sold for $125,000, with a commission rate of 5%, is $6,250.
Explanation:
Mr. Norris earns a commission based on a fixed percentage of the sales price. To calculate his commission for selling a boat priced at $125,000, we apply the 5% commission rate to the sale price.
Here's the calculation:
Commission = Sale Price × Commission Rate
Commission = $125,000 × 0.05
Commission = $6,250
Hence, Mr. Norris's commission for selling a boat that he sells for $125,000 is $6,250.
find the greatest common factor of 3y^2 -4y
Answer:
y.
Step-by-step explanation:
y is common to both terms so the GCF is y.
Factoring we get:
y(3y - 4).
Answer:
Step-by-step explanation:
3y^2 = 3 * y *y
4 y = 4 * y
GCF = y
3y^2 -4y = y*(3y - 4)
Answer this question please. I need help!!☺️
Step-by-step explanation:
From the looks of it, it seems that you're factoring out the greatest common factor. I gotcha covered.
The square boxes are the biggest common factors in those equations. Hopefully, this helps!
if a car is 200 inches long, and the truck is 75% longer, how long is the truck
the equivalent fraction of 2/4
Answer:
1/2
Step-by-step explanation:
u could simplify it to 1/2 pls give brainliest answer
Answer: 1/2 and if you mean multiplying 4/8 because 2 ÷ 2 = 1 and 4 ÷ 2 = 2, and if you mean multiplying 2 • 2 = 4 and 4 • 2 = 8 so those are two answers.
Factor the expression. 36y2 – 84y – 147
(2y + 7)(6y – 7)
3(2y + 7)(6y + 7)
3(2y – 7)(6y + 7)
(2y – 7)(18y + 21)
Answer:
1) 3 (6y+7) (2y−7)
2) 12y2+28y−49
3) 36y2+168y+147
4) 36y2−84y−147
5) 3(6y+7)(2y−7)
Oh the other side of the balance is 4 oz and another 4 oz and on the other side is 8 oz. <— To help you find out the answer. Please I’d like some help?
Where would you put 2 1/8th on a number line?
Answer:
See diagram and explanation
Step-by-step explanation:
A number on the right is greater than a number on the left on the number line.
Mark numbers 2 and 3 on number line (number 3 is to the right from number 2, because 3 > 2).
Divide the unit segment between numbers 2 and 3 into 8 equal parts (this segment is the unit segment because the distance between 3 and 2 is 1).
Each such part represents [tex]\frac{1}{8}[/tex] of the segment.
Mark the number [tex]2\dfrac{1}{8}[/tex] next to the right from 2 (you have to take 2 and 1/8).
Abigail's car uses 3 2/3 gallons of gas every hour on a long distance trip. How many gallons does the car use in 8 1/2 hours?
Answer:
31.166 repeating
Step-by-step explanation:
A circle has a diameter of 7.6feet. Which measurement is the closest to the circumference of the circle in feet.
Answer:
23.9
Step-by-step explanation:
A circle has a diameter of 7.6 feet. Which measurement is closest to the circumference of the circle in feet?
TRUST ME
The ingredients for making chocolate cookies are 3/4 cup of brown sugar, 1/4 cup of white sugar, 3/2 cup of butter, 11/8 cup of flour, and 5/2 cup of chocolate chips. What is the total number of cups of ingredients needed in making chocolate cookies?
Answer:
[tex]\frac{51}{8}[/tex] cups.
Step-by-step explanation:
It is given that the ingredients for making chocolate cookies are [tex]\frac{3}{4}[/tex] cup of brown sugar, [tex]\frac{1}{4}[/tex] cup of white sugar, [tex]\frac{3}{2}[/tex] cup of butter, [tex]\frac{11}{8}[/tex] cup of flour, and [tex]\frac{5}{2}[/tex] cup of chocolate chips.
Now, we have to calculate the total number of cups of ingredients needed in making chocolate cookies.
So, it will be given by
[tex](\frac{3}{4} + \frac{1}{4} + \frac{3}{2} + \frac{11}{8} + \frac{5}{2})[/tex] cups
= [tex]\frac{3 \times 2 + 1 \times 2 + 3 \times 4 + 11 + 5 \times 4}{8}[/tex] cups
= [tex]\frac{51}{8}[/tex] cups. (Answer)
I NEED THE ANSWER ASAP PLEASE
which has gradient -1/2 and cuts the y-axis at 4
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{1}{2}[/tex] and c = 4, thus
y = - [tex]\frac{1}{2}[/tex] x + 4 ← equation of line
A math teacher graded 45 problems in 3/5 of an hour. At that rate, how many problems can she grade in one hour
Answer:
75
Step-by-step explanation:
45*1/3=15
15*5=75
Answer: 75 problems
Step-by-step explanation:
3/5 of an hour is the same as 3/5 x one hour.
one hour is the same as 60 minutes , this means that 3/5 of an hour is the same as :
3/5 x 60 = 36 minutes
This means that , the teacher graded 45 problems in 36 minutes. then in 1 minutes ;
The teacher will grade 45/36 problems
so in 60 minutes ;
the teacher will grade 45/36 x 60 = 75 problems
X3-8y3+27+18xy factorise
Answer:
this expression is not factorable
Step-by-step explanation:
In a class, 8/9 of the students have blue eyes.
If 32 students have blue eyes, how many students are in the class in total?
Is a 24 square centimeter rectangle larger than a 24 square inch rectangle?
Answer:
No, a 24 square centimeter rectangle is smaller than a 24 square inch rectangle
Step-by-step explanation:
we know that
[tex]1\ in=2.54\ cm[/tex]
so
Convert in^2 to cm^2
[tex]24\ in^2=24(2.54)^2=154.8\ cm^2[/tex]
so
[tex]24\ cm^2 < 154.8\ cm^2[/tex]
therefore
[tex]24\ cm^2 < 24\ in^2[/tex]
A 24 square inch rectangle is larger than a 24 square centimeter rectangle due to unit conversion.
No, a 24 square inch rectangle is larger than a 24 square centimeter rectangle.
To compare rectangles of different units, we need to convert the units to the same measurement. Since 1 inch is equal to 2.54 centimeters, a square inch is larger than a square centimeter.
Therefore, a 24 square inch rectangle has a greater area than a 24 square centimeter rectangle.
Solve the following system of equations graphically.
x = -5
y = -6
What is the solution set?
Ø
{(-5, -6)}
{(-6, -5)}
Answer: The right answer is [{-5,-6]}
Explanation: I got it right on my test
Answer:
[{-5,-6]}
Step-by-step explanation:
Which expression is equivalent to -2(3a + 6b) + (4a - 2b)?
A) -2(a + 7b)
B) -2(a - 7b)
C) 2(a + 7b)
D) 2(a - 7b)
Answer:
Option A) -2(a+7b) is correct
Therefore -2(3a+6b)+(4a-2b)=-2(a+7b)
The equivalent expression to the given expression is -2(a+7b)
Step-by-step explanation:
Given expression is -2(3a+6b)+(4a-2b)
To find the equivalent expression to the given expression :
-2(3a+6b)+(4a-2b)
=-2(3a)-2(6b)+4a-2b ( apply the distributive property a(x+y)=ax+ay )
=-6a-12b+4a-2b
=-2a-14b ( adding the like terms )
=-2(a+7b) ( taking common term -2 outside )
Therefore -2(3a+6b)+(4a-2b)=-2(a+7b)
The equivalent expression to the given expression is -2(a+7b)
Therefore option A) -2(a+7b) is correct
so the right option is A.
HOPE THIS WILL HELP U.
IF MY ANS WAS HELPFUL, U CAN FOLLOW ME.
Select the correct answer.
The temperature on Saturday was 2°C. On Sunday, it became 4°C colder. What was the temperature on Sunday?
7O
Answer:
6C
Step-by-step explanation:
Final answer:
By subtracting the 4°C decrease from the initial temperature of 2°C, it is determined that the temperature on Sunday was -2°C.
Explanation:
The question involves a basic mathematics operation related to temperature changes. The temperature on Saturday was 2°C, and on Sunday, it became 4°C colder. To find the temperature on Sunday, you simply need to subtract 4°C from Saturday's temperature:
Saturday's temperature: 2°C
Temperature decrease: 4°C
Sunday's temperature: 2°C - 4°C = -2°C
Thus, the temperature on Sunday was -2°C.
A turboprop plane flying with the wind flew 400 mi in 4 h. Flying against the wind, the plane required 5 h to travel the same distance. Find the rate of the plane in calm air and the rate of the wind.
Answer:
Rate of the plane in calm air is 90 miles/hr and rate of the wind of wind is 10 miles/hr
Step-by-step explanation:
Average speed of plane in with wind = 400 /4 = 100 miles/hr
Average speed of plane against wind = 400/5 = 80 miles/hr
Consider the speed of plane in wind be x miles/hr and speed of plane against wind be y miles/hr
As such speed of plane in wind would be x + y miles/hr and speed of plane against wind would be x - y miles/hr . i.e
x+y = 100
x-y = 80
by solving these two equation, we get
2x=180
x= 90 miles/hr
y=100-90
y= 10 miles/hr
hence, Rate of the plane in calm air is 90 miles/hr and rate of the wind of wind is 10 miles/hr
28v^3+16v^2-21v-12 factor by group please
Step-by-step explanation:
The given equation:
[tex]28v^3+16v^2-21v-12[/tex]
To find, the factors of [tex]28v^3+16v^2-21v-12[/tex] = ?
∴ [tex]28v^3+16v^2-21v-12[/tex]
[tex]=(4\times 7)v^3+(4\times 4)v^2-(3\times 7)v-(3\times 4)[/tex]
= [tex]4v^2(7v+4)-3(7v+4)[/tex]
= [tex](7v+4)(4v^2-3)[/tex]
= [tex](7v+4)[(2v)^2-\sqrt{3}^2][/tex]
Using the algebraic identity,
[tex]a^{2}-b^{2}=(a+b)(a-b)[/tex]
= [tex](7v+4)(2v+\sqrt{3})(2v+\sqrt{3})[/tex]
∴ The factor of [tex]28v^3+16v^2-21v-12[/tex] = [tex](7v+4)(2v+\sqrt{3})(2v+\sqrt{3})[/tex] or [tex](7v+4)(4v^2-3)[/tex]
9. Martika says factors and multiples are
related. Use the equation 6 X 7 = 42
to describe the relationship between
factors and multiples.
BBOUD SOTTO
Answer:
So the factors and multiples of 42 are 1, 2, 3, 6, 7, 14, 21, 42
Step-by-step explanation:
Factors are what you can multiply to get a number and a multiples are what you get after multiplication. We can determine the factors of 42. The multiples of 42 are:
[tex]1 x 42= 42[/tex]
[tex]2 x 21= 42[/tex]
[tex]3x 14 = 42[/tex]
[tex]6 x 7 = 42[/tex]
So the factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The multiples of 42 are 1,2,3,4,5,6 etc
So common multiples and factors are 1, 2, 3, 6, 7, 14, 21, 42
In the equation 6 X 7 = 42, 6 and 7 are factors and 42 is the multiple. Factors are numbers that can be exactly multiplied to get another number, while a multiple is a number that can be divided evenly by another number. Hence, the relationship between factors and multiples is inherently interconnected.
Explanation:In the equation 6 X 7 = 42, 6 and 7 are the factors, and 42 is the multiple. Factors are numbers you can exactly multiply together to get a another number, in this case 6 and 7 are factors of 42 because when multiplied together, they equal 42. On the other hand, a multiple is a number that can be divided by another number without leaving a remainder, so 42 can be evenly divided by 6 or 7, making it a multiple of those numbers. The relationship between factors and multiples can be seen as two sides of the same coin - factors are what you multiply together to get a multiple.
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If side A is twice as long as B and C is 25 using the Pythagorean Theorem,What are the lengths of side A and B? Round to the nearest tenth if necessary
Answer:
The lengths of side A is 22.4 and B is 11.9.
Step-by-step explanation:
Given:
If side A is twice as long as B and C is 25 using the Pythagorean Theorem.
Now, to find the lengths of side A and B.
Let the side B be [tex]x.[/tex]
So, the side A be [tex]2x.[/tex]
Side C = 25.
Now, to solve by using Pythagorean Theorem:
A² + B² = C²
[tex](2x)^2+(x)^2=(25)^2[/tex]
[tex]4x^2+x^2=625[/tex]
[tex]5x^2=625[/tex]
Dividing both sides by 5 we get:
[tex]x^2=125[/tex]
Using square root on both sides we get:
[tex]x=11.18.[/tex]
B rounding to the nearest tenth = 11.9.
Now, to get A by substituting the value of [tex]x[/tex]:
[tex]2x\\=2\times 11.18\\=22.36.[/tex]
A rounding to the nearest tenth = 22.4.
Therefore, the lengths of side A is 22.4 and B is 11.9.
What would be 49.38 rounded to tenthes
Answer:
49.4
Step-by-step explanation:
Round up, since the 8 [tex]\geq[/tex] 5
Tickets to the garden show cost $6.75 for adults and $3.75 for children. By rounding to the nearest whole dollar, find an estimate of the cost for a family with 2 adults and 3 children to visit the garden show. A. $21 B. $23 C. $24 D. $26
Answer:
$26
Step-by-step explanation:
$6.75 - $7
$3.75 - $4
2 adults = 7x2= $14
3 children = 4x3= $12
$14 + $12 = $26
The answer is D. $26.
--x² + 5x – 8=0
What is the x
Answer:
x =(-5-√57)/2=-6.275
Step-by-step explanation:
A school plans the weekly reading activities. They have 18 storys books, which is 4 books more than 2 times that of science books. What is the number of science books?
Answer:
[tex]Number\ of\ science\ books=7[/tex]
Step-by-step explanation:
[tex]Let\ number\ of\ science\ books=x\\\\Story\ books=18\\\\2\times science\ books+4=Story\ books\\\\2x+4=18\\\\Subtract\ 4\ from\ both\ the\ sides\\\\2x+4-4=18-4\\\\2x=14\\\\Divide\ both\ sides\ by\ 2\\\\\frac{2x}{2}=\frac{14}{2}\\\\x=7\\\\Number\ of\ science\ books=7[/tex]
Find the y-intercept of the line: 9x – 8y + 5 = 0
Answer:
-8y = -9x - 5
y = (9/8)x + 5/8
Step-by-step explanation:
y-int 5/8
The y-intercept of the given line equation 9x – 8y + 5 = 0, is 5/8, which is obtained by rearranging the equation into the slope-intercept form.
Explanation:The subject pertains to finding the y-intercept of a line from a given equation, which is a topic in Algebra.
The equation given is 9x – 8y + 5 = 0. First, we need to rearrange the equation into the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Arranging the equation, we get: -8y = -9x -5, which simplifies further to y = 9/8x + 5/8. So, the y-intercept of the line is 5/8.
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(4,0) reflected across x axis and y axis
Answer:
The x axis is horizontal (sideways) while the y axis is vertical (up and down)
Step-by-step explanation:
The measure of CDA is 113.42°. what is the value of x?