Answer:
the sale price is 52.50
Step-by-step explanation:
30% discount means that the person pays 70% of the original price
multiply 75 by 70% written as a decimal 0.70
75*0.70 = 52.50
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
x
Which of these points are on a line that has a slope of -3?.
(9, 2), (4,3)
(2,9), (4,3)
(9, 2), (3, 4)
(2,9), (3, 4)
Answer: (2, 9), (4, 3)
Step-by-step explanation:
[tex]\text{The slope formula is: }m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\(x_2, y_2)=(9, 2)\quad and \quad (x_1, y_1)=(4, 3): m=\dfrac{2-3}{9-4}\quad =-\dfrac{1}{5}\\\\\\(x_2, y_2)=(2, 9)\quad and \quad (x_1, y_1)=(4, 3): m=\dfrac{9-3}{2-4}\quad =\dfrac{6}{-2}\quad =\large\boxed{-3}\\\\\\(x_2, y_2)=(9, 2)\quad and \quad (x_1, y_1)=(3, 4): m=\dfrac{2-4}{9-3}\quad =\dfrac{-2}{6}\quad =-\dfrac{1}{3}\\\\\\(x_2, y_2)=(2, 9)\quad and \quad (x_1, y_1)=(3, 4): m=\dfrac{9-4}{2-3}\quad =\dfrac{-5}{1}\quad =-5[/tex]
HELP!!!!! Consider the polynomial 9x2 – 16. What is the value of ac? What is the value of b? What two numbers multiply to get ac and add to get b? The factored form of 9x2 – 16 is .
Answer:
Below in bold.
Step-by-step explanation:
9x^2 - 16
Comparing this with the standard form
ax^2 + bx + c
ac = 9*-16 = -144
b = 0
-12 and 12 multiply to get ac and add to get b.
Factored form is
(3x - 4)(3x + 4).
The value of ac is,
⇒ - 144
The value of b is,
⇒ b = 0
And, The factored form is,
⇒ (3x - 4) (3x + 4)
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The quadratic equation is,
⇒ 9x² - 16
Now, We know that;
General form of quadratic equation is,
⇒ ax² + bx + c
Here, The quadratic equation is,
⇒ 9x² - 16
Hence, By comparing,
⇒ a = 9
⇒ b = 0
⇒ c = - 16
Thus, The value of ac is,
⇒ ac = 9 × - 16
= - 144
And, The factored form is,
⇒ 9x² - 16
⇒ (3x)² - 4²
⇒ (3x - 4) (3x + 4)
Thus, The value of ac is,
⇒ - 144
The value of b is,
⇒ b = 0
And, The factored form is,
⇒ (3x - 4) (3x + 4)
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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.
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
I need help please!!
Answer:
8
Step-by-step explanation:
x = 8
f(8) = |8|
f(8) = 8
Does this help?
What word phrase can you use to represent the algebraic expression 7x?
Answer:
7 times x
Step-by-step explanation:
When the expression is seen, we can say that it displays 7 times x.
Choose the true statement.
-858
-8>8
-8= 8
the answer is 8=8
Step-by-step explanation:
it just is
6+
Зу + 4 < 6
helppppppppp
Step-by-step explanation:
6 + 3y + 4 < 6
10 + 3y < 6
3y < -4
y < -4/3
Answer:
y < -4/3
Step-by-step explanation:
6+ Зу + 4 < 6
Combine like terms
10 +3y < 6
Subtract 10 from each side
10 +3y - 10 < 6-10
3y < -4
Divide each side by 3
3y/3 < -4/3
y < -4/3
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
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
1. Describe in detail what you understand the problem to be. In other words, what problem will you need to solve?
Is there enough information to enable you to find a solution to your problem?
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
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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
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
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
Zachary is solving the following equation.
Which is the best first step to begin to simplify the equation?
Multiply both sides of the equation by .
Divide both sides of the equation by .
Distribute over (x – 8).
Distribute over (x – 8).
Don't know if there was supposed to be another option but, it would be distribute over (x - 8).
Answer:
Distribute 3/4 over (x - 8)
Step-by-step explanation:
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What is the answer to 3x^2 +30x+75
which statements accuretly describe the function f(x)=3(square root 18)^x
Answer:
3 is being multiplied by the square root of 18 which is being raised to the "x" value
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
A 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.
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.
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.
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
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
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the verbal descriptions with the correct equations.
Answer:
Step-by-step explanation:
6 more than a number is 36: x+6=36
36 more than a number is 6: x+36=6
6 times a number is 36: 6x=36
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...
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.
decimal representation of 4 / 15 is
Answer:
0.2666666667
Step-by-step explanation:
