An employee earns a 25% commission rate on his sales. One day, he earned $175.
If he gets 25% of his sales, and he makes $175, that means $175 is it 25% of his sales.
Lorrie biked d miles in 2 hours. She traveled at an average speed of more than 8 miles per hour. To determine the distance she may have traveled, she uses the inequality 2d > 8. She then determines that she biked at most 4 miles. Analyze Lorrie’s inequality and solution.
Answer:
[tex]\fbox{\begin{minipage}{14em}Lorrie's inequality is incorrect\end{minipage}}[/tex]
[tex]\fbox{\begin{minipage}{16em}The solution is: d is greater than 16\end{minipage}}[/tex]
Step-by-step explanation:
Step 1: Define the problem
Given:
Lorrie biked [tex]d[/tex] miles in time [tex]t = 2[/tex] hours.
Lorrie traveled at speed [tex]s[/tex] which is greater than [tex]8[/tex] (mile/hour).
Task:
Lorrie wants to determine the distance she may have traveled.
Key point:
The relation among the distance biked [tex]d[/tex], time [tex]t[/tex], and the speed [tex]s[/tex] is represented:
[tex]d = s[/tex] x [tex]t[/tex]
Step 2: Substitute given data into the main relation
with: [tex]s > 8[/tex] and [tex]t = 2[/tex]
=> [tex]d = s[/tex] x [tex]t[/tex]
=> [tex]d[/tex] > [tex]8[/tex] x [tex]2[/tex]
Simplify:
[tex]d > 16[/tex]
Step 3: Verify Lorrie's inequality
Lorrie uses the inequality [tex]2d > 8[/tex] to conclude that she traveled a distance [tex]d[/tex] at most [tex]4[/tex] miles, or [tex]d < 4[/tex].
Considering the correct answer is at step 2, in which, [tex]d > 16[/tex].
=> Lorrie's conclusion is incorrect.
Hope this helps!
:)
Answer:
Lorrie should have used division in the inequality instead of multiplication. She would have determined that she biked more than 16 miles instead of at most 4 miles.
Step-by-step explanation:
took the test
what are the steps I need to do to get the answer?
Answer:
B. 10.9
Step-by-step explanation:
Area of triangle= 1/2*24*h
∠N=90° ⇒ Area of triangle= 1/2*MN*ON
MN²= h²+(24-7)²
ON²= h²+7²
24h=MN*ON24h= √h²+(24-7)²*√h²+7²(24h)²=(h²+17²)(h²+7²)h²=k576k=k²+289k+49k+289*49k²-238k+14161=0k=119h²=119h=√119= 10.9A baseball team won 9 games, which was 60% of the total number of games the team played. How many total games did the team play?
Answer: The team played 15 games total
Step-by-step explanation: 9 is 60 percent of 15.
Look at picture, please help
Answer:
x = 32
Step-by-step explanation:
Three angles have been shown in the figure which are located at a point of a straight line.
By the property of angles on a straight line,
Sum of the angles shown = 180°
(3x - 20)° + 30°+ (2x + 10)° = 180°
(3x + 2x) + ( -20 + 30 + 10) = 180
5x + 20 = 180
5x = 180 - 20
5x = 160
x = [tex]\frac{160}{5}[/tex]
x = 32
Therefore, x = 32 will be the answer.
Answer:
[tex]x = 32 \: \: degrees[/tex]
Step-by-step explanation:
Angels in a straight line =180°
[tex]3x - 20 + 30 + 2x + 10 = 180 \\ 5x + 20 = 180 \\ 5 x = 180 - 20 \\ 5x = 160 \\ \frac{5x}{5} = \frac{160}{5} \\ x = 32[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
A student is running a 3 km race he runs 1 km every two minutes. Select the function that describes distance from the finish line after X minutes
x - number of minutes;
f ( x ) - the distance from the finish line.
x : 0 2 4 6
f ( x ) : 3 2 1 0
f ( x ) = 3 - x/2
Answer: B ) f ( x ) = -1/2 x + 3
Find the volume of a right circular cone that has a height of 6.5 cm and a base with a
radius of 8.5 cm. Round your answer to the nearest tenth of a cubic centimeter
Answer:
491.8cm
Step-by-step explanation:
v=1/3*π*r^2*h
v=1/3*π*8.5^2*6.5
491.8
Answer:
491.8
Step-by-step explanation:
i did the question it was right
I need help please!!
Answer:
8
Step-by-step explanation:
x = 8
f(8) = |8|
f(8) = 8
Does this help?
Which property justifies this statement: 6d(3d+2) = 18d^2 + 12d
Answer:
Distributive property
Step-by-step explanation:
how does the graph y=-6x^2 -4 different from y=-6^2
Answer: [tex]y=-6x^2[/tex] never touches the y-axis
[tex]y=-6x^2-4[/tex] touches the y-axis at -4
Step-by-step explanation:
Because -4 means that the graph touches the y-axis at negative 4, not having it means that it never touches the y-axis
What is the discriminant of the quadratic equation 0 = 2x² + 3x - 5?
-37
-31
43
49
Answer:
D 49
Step-by-step explanation:
just did it
you've got a summer job renting beach umbrellas and chairs to tourists at the beach. part of your job is to encourage people to rent from you,your pay structure includes an incentive. along with a daily rate of pay of $50, you earn an extra $2 per umbrella you rent and $1 per chair you rent. you kept a tally of the number of umbrellas and chairs you rent each day. what is the function you can use to quickly calculate your earnings?
Answer:
50+2x+y
Step-by-step explanation:
50 dollars plus 2dollars , x representing how many umbrellas are being rented, and y representing how many chairs are rented
A line that passes through the point (x,y), with a y intercept of band a slope of m, can be represented by the equation y = mx + b.
A line is drawn on the coordinate plane that passes through the point (3.-6) and has a slope of 4. The y intercept of the line is
Answer:
y = 4x - 18
Step-by-step explanation:
Write out y = mx + b.
The slope of the line in question is 4. Thus we have y = 4x + b.
Finally, substitute -6 for y, 3 for x and solve for b:
-6 = 4(3) + b, or -6 = 12 + b. Then b = -18, and the equation of this line is
y = 4x - 18
Answer:
18
Step-by-step explanation:
y=4x-18 is the solution and 18 is the y-intercept because the b (18) is the y-intercept.
Use the method of completing the square to write the equations of the given parabola in this form: (y-k)=a(x-h)^2 where a =0, (h,k) is the vertex, and x=h is the axis of symmetry. Find the vertex of this parabola: y=-x^2-2x-5
Answer:
Step-by-step explanation:
There are but a few rules we have to follow when completing the square. However, they are very important rules so we have to be careful. First and foremost, the coefficient on the x-squared term HAS to be a positive 1. If it is not, we have to manipulate the function so it is a positive 1. Then we take half the linear term, square it and add it to both sides (and sometimes this can be very tricky. It is tricky here, so pay attention.)
We begin by separating the x terms from the constant by setting the parabola equal to 0 and moving the constant:
[tex]-x^2-2x=5[/tex]
The coefficient on the x-squared is a negative 1, so we factor out the negative:
[tex]-(x^2+2x)=5[/tex]
The linear term is 2. We take half of 2 which is 1, square 1 to get 1 and add it into the left side. BUT don't forget that we have a -1 out front of the ( ) refusing to be ignored. It is a multiplier. That means that we didn't add in a +1, we added in -1(1) which is -1. That is what we add to the right side:
[tex]-(x^2+2x+1)=5-1[/tex] which simplifies to
[tex]-(x^2+2x+1)=4[/tex]
The reason for this process is that by completing the square you create a perfect square binomial on the left. We rewrite the parabola in terms of that perfect square binomial:
[tex]-(x+1)^2=4[/tex] which simplifies to
[tex]-(x+1)^2-4=y[/tex]
From this you can now determine that the vertex of the parabola is (-1, -4)
Find the distance between the points. (2,3) and (-3,-6)
Answer:
D = 10.3
Step-by-step explanation:
Distance Formula = √(x₂-x₁)² + (y₂-y₁)²
D = [tex]\sqrt{(-3-2)^2 + (-6-3)^2}[/tex]
D = [tex]\sqrt{(-5)^2+(-9)^2}[/tex]
D = [tex]\sqrt{25+81}[/tex]
D = [tex]\sqrt{106}[/tex]
D = 10.3
5. The distance from the shovel to the treasure chest is
60 yards and the distance from the treasure chest to the
boat is 50 yards. How far is the boat from the shovel?
Answer: 110 yards
Step-by-step explanation:
From the question, the distance from the shovel to the treasure chest is
60 yards while the distance from the treasure chest to the boat is 50 yards. We are to calculate the distance from the boat from the shovel.
The distance from the boat from the shovel will be the addition of the distance from the shovel to the treasure chest which is 60 yards with the distance from the treasure chest to the boat is 50 yards.
= 60 yards + 50 yards
= 110 yards
What is the answer to 3x^2 +30x+75
Please help! Correct answer only please! I need to finish this assignment by today.
Sweet Dreams Bakery recently sold 4 brownies and 14 other desserts. What is the experimental probability that the next dessert sold will be a brownie?
Simplify your answer and write it as a fraction or whole number.
P(brownie) =
Answer:
2/9
Step-by-step explanation:
If the bakery sold 4 brownies and 14 other desserts, then they sold a total of +14=18 desserts. This means that the experimental probability that the next dessert is a brownie is 4/18=2/9. Hope this helps!
Write 9.13 x 10-3 as an ordinary number.
Please
Answer:
913/100 and 10/10000
Step-by-step explanation:
913/100 = 9.13
10/10000 = 10^-3
9.13 x 10^-3 = 0.00913
Answer:
0.00913
Step-by-step explanation:
9.13 x 10-3 as an ordinary number means eliminating the standard form.
10^-3 is 1/1000
Hence 9.13 x 10-3 = 9.13 × 1/ 1000
9.13/1000= 0.00913
What is the product of 5.86 × 10–7 and 3.1 × 104 1. Write the expression: (5.86 × 10–7)(3.1 × 104) 2. Rearrange the expression: (5.86 × 3.1)(10–7 ∙ 104) 3. Multiply the coefficients: (18.166)(10–7 ∙ 104) 4. Apply the product of powers: 18.166 × 10-3 5. Write in scientific notation: 1.8166 × 10n What is the value of n in the scientific notation of the product? n =
The product of the given values in scientific notation would be = 1.8166× 10-2.
What is scientific notation?Scientific notation is a method that is used in arithmetics to represent numbers and figures that are too large or too small and usually raised to power of 10.
The values that are given for multiplication is as follows;
5.86 × 10–7 × 3.1 × 104
First rearrange the expressions;
(5.86 × 3.1)(10–7 ×10⁴)
The multiple the coefficients;
(18.166)(10–7 ∙ 104)
The apply the product of power by addition of the powers;
18.166 × 10-3
The scientific notation representation of the product = 1.8166× 10-2
Learn more about scientific notation here:
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decimal representation of 4 / 15 is
Answer:
0.2666666667
Step-by-step explanation:
Choose the true statement.
-858
-8>8
-8= 8
the answer is 8=8
Step-by-step explanation:
it just is
What Is the Area of the Triangle?
Step-by-step explanation:
To find the area of a right triangle, you multiply the two legs of the triangle and then divide that result by 2. The reason this works is because a right triangle's area is exactly half the area of a rectangle using the same legs.
Answer:
A=1/2bh
=1/2×4×8
=1/2×32
=16.
Can someone help me this question?
Answer:
The answer is B.
Step-by-step explanation:
Answer:
Answer is B because it makes the most sense and AL ot of other people said it's B
Solve it by factorisation method
Answer:
Hope it helped you.
Step-by-step explanation:
It was hard to type on a keyboard so I did it somewhere else...
FernandoFernando buys juicejuice to make punchpunch for all hishis friends. HeHe buys 11 pintpint of juicejuice and one half 1 2 gallongallon of juicejuice. How many cupcups of juicejuice does hehe buy?
Answer:
10 cups
Step-by-step explanation:
He buys 1 pint of juice and 1/2 gallon of juice.
We have to convert pint and gallon to cups and then add them.
1 pint = 2 cups
1 gallon = 16 cups
1/2 gallon = 1/2 * 16 = 8 cups
Therefore,
2 + 8 = 10 cups
Fernando buys 10 cups of juice.
Please help! Correct answer only!
There is a raffle with 200 tickets. One ticket will win a $430 prize, four tickets will win a $80 prize, six tickets will win a $40 prize, and the other tickets will win nothing. If you have a ticket, what is the expected payoff?
$___
Answer:
$ 30.25
Step-by-step explanation:
Consider adding these winning values, in addition to the number of tickets for each as well;
[tex]Total Money That Could Be Won - 430 + 80 + 40 = 550 Dollars,\\Number of Tickets Corresponding To Money Won - 1 + 4 + 6 = 11 Tickets,\\\\Total Tickets - 200 Tickets,\\\\Probability Of Winning - 11 / 200 = 0.055,\\Proportionality - 0.055 = x / 550,\\\\0.055 = x / 550,\\x = 0.055 * 550,\\x = 30.25 Dollars\\\\Conclusion ; x = 30.25[/tex]
Solution ; " Expected Payoff " = 30.25 Dollars
One sheet of paper is 9 x 10 to the power of -3 to cm thick. Mark wants to put 500 sheets of paper into the paper tray of his printer. The paper tray is 4 cm deep. Is the paper tray deep enough for 500 sheets of paper? You must explain your answer. Input note: write down the thickness of the 500 sheets of paper.
Answer:
The paper tray is not deep enough.
Step-by-step explanation:
500 * 9 * 10^-3
= 500 * 0.009
= 4.5 cm which is greater than the depth of the paper tray (4 cm).
The paper tray is not enough for sheets of paper.
The thickness of 500 sheets of paper is 45 cm.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
One sheet of paper is [tex]9[/tex] × [tex]10^{-3}[/tex] to the power of -3 to cm thick.
Mark wants to put 500 sheets of paper into the paper tray of his printer.
The thickness of 500 sheets of paper is
[tex]9[/tex] × [tex]10^{-3}[/tex] × 500 = 45 cm
But the paper tray is 4cm deep
45 cm > 4 cm
So the paper tray is not enough for sheets of paper.
Find out more information about multiplication here
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A rope is cut so that one piece is three times the length
of the other. Each rope is then used to enclose an area
in the shape of an equilateral triangle. If the area
enclosed by the shorter rope is 1,000 m2, what is the
area enclosed by the longer rope?
Answer:
9,000 m2
Step-by-step explanation:
If the longer rope has three times the length of the shorter rope, the perimeter and the sides of the triangle formed by the longer rope are three times the perimeter and sides of the triangle formed by the smaller rope.
The area of an equilateral triangle is:
[tex]Area = \frac{side^{2} * \sqrt{3}}{4}[/tex]
So, if the side is three times bigger, the area will be 9 times bigger (3^2).
The area of the small triangle is 1000 m2, so the area of the bigger triangle is 9 * 1,000 = 9,000 m2
Solve the volume formula V= /wh for h.
Answer:
V = lwh
/lw /lw
h = V/lwFirst isolate the variable by seperating lw from the side that h is on. You do this by dividing both sides by lw. This will result in h being volume over lenght and width.
