Answer:
$80 is the 100% original price
The sale price is $56 with 30% off and $24 in savings.
Step-by-step explanation:
We can write a proportion. We know that $24 is a 30% off discount of an unknown original price. Let's call it x. We write equal ratios of comparing percent and comparing the 24 to the original price. We then set them equal.
We then cross multiply across the equal sign from numerator to the opposite numerator.
30(x)=24(100)
30x=2400
We divide to find x.
x=80.
Since we saved $24 as a discount, the sale price would be 80-24=56.
anybody know ???????????
Answer:
1. constant: 2
2. you can use slope intercept
3. 4 pounds equal 40 cents
4. because it is linear
Step-by-step explanation:
GRAHAM CORPORATION
Samantha invested in the Graham Corporation. Samantha bought n number of
shares for d dollars and paid a 2% commission to her broker. She later sold the
stock for s dollars and paid a flat fee of $11. A friend of Samantha's, Alex, also
decided to invest in the Graham Corporation. He purchased x dollars worth of
stock on his broker's advice and paid his broker a 1% broker fee.
Part A
Write an expression to model Samantha's net proceeds algebraically. Explain how
you determined the expression.
Answer:
Net proceed= s-0.98nd-11Step-by-step explanation:
Given that the shares cost $d
n shares will be =$dn
paid 2% commission to her broker= (2/100)*nd= 0.02nd
sold the share for $s
paid a fee of $11
Her net proceeds algebraically will be
Net proceed= s-nd-11-0.02nd
collect like terms
Net proceed= s-(nd-0.02nd)-11
Net proceed= s-0.98nd-11
Classwork
1. A plane flew at a constant speed between Denver and Chicago. It took the
plane 1.5 hours to fly 915 miles. Complete the table.
Time in Hours (x)
Distance in Miles (y)
Constant (3)
1
1.5
915
610
2.
2.5
Answer:
Step-by-step explanation:
A plane took 1.5 hours to complete the journey of 915 miles.
Therefore, constant of proportionality will be,
k = [tex]\frac{915}{1.5}=610[/tex]
[tex]\frac{y}{x}=610[/tex]
y = 610x
Time in hours (x) Distance in miles (y) Constant [tex](\frac{y}{x})[/tex]
1 y = 610x ⇒ y = 610 miles 610
1.5 915 610
2 y = 2 × 610 = 1220 miles 610
2.5 y = 2.5 × 610 = 1525 miles 610
What are the coordinates of the vertices of A L'M'N'?
Answer: L is (-5, 2) M is (0,6) N is (2,4)
Step-by-step explanation:
I'm confused
What is the answer?
If c > 0, then f(x - c) is a shift of f(x) by c units to the right, and f(x + c) is a shift by c units to the left.
If d > 0, then f(x) - d is a shift by d units downward, and f(x) + d is a shift by d units upward.
Let g(x) = x. Then f(x) = g(x + a) - b = (x + a) - b. So to get g(x), we translate f(x) to the left by a units, and down by b units.
Note that we can also interpret the translation as
• a shift upward of a - b units, since
(x + a) - b = x + (a - b)
• a shift b units to the right and a units upward, since
(x + a) - b = x + (a - b) = x + (- b + a) = (x - b) + a.
38% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.
Tracy wants to buy some pies for her sisters and she has a budget of $82 to spend on $5
apple pies, $4.5 banana pies, and $5.5 chocolate pies. She wants to buy 16 pies for her
sisters and must buy as many chocolate pies as apple pies and banana pies combined.
How many of each item should she buy?
Answer:
5 of each item is how much she should buy
Step-by-step explanation:
Whats 27.16 - 3.1 x 1.4 evaluated?
PLEASE HELP
Answer:
22.82
Step-by-step explanation:
can u plz mark me as brainliest??
Answer:
22.82
Step-by-step explanation:
3.1*1.4 = 4.34
27.16-4.34 = 22.82
[edited, I messed up the order of operations before, sorry]
What is
41/6
as a mixed number in simplest form?
Enter your answer in the box.
Answer:
6 1/6
Step-by-step explanation:
six goes into 42 seven times that leaves you with one number so it can go in six times evenly and that leaves you with 1/6
2)If a $100 deposit is made at a bank that pays 12% per year, compounded annually, determine how long it will take for the investment to reach $2000.
Answer:
It will take 26.4 years for investment to reach $2000
Step-by-step explanation:
2000=100(1+.12)^x
20=1.12^x
㏒_{20} 1.12=x
log 1.12/ log 20=x
x= 26.434
The number of years that should be taken for reaching $2,000 is 26.40 years.
Given that,
The deposit made at the bank is $100.The interest rate per year is 12%.And, the reaching amount is $2,000.Based on the above information, the calculation is as follows:
[tex]2000=100(1+.12)^x\\\\20 = 1.12^x[/tex]
Now apply log to both sides
[tex]\frac{log1.12}{log20} = x[/tex]
x = 26.4 years
Therefore we can conclude that the number of years that should be taken for reaching $2,000 is 26.40 years.
Learn more: brainly.com/question/13324776
whats answere y+2=-3 (x - 4)
Answer:
Slope = 6.000/2.000 = 3.000
x-intercept = 10/3 = 3.33333
y-intercept = -10/1 = -10.00000
Step-by-step explanation:
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -10.000 and for x=2.000, the value of y is -4.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -4.000 - (-10.000) = 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Answer:
x=10/3
Step-by-step explanation:
0+2=-3x+12
2=-3x+12
3x=12-2
3x=10
The sum of two numbers is 64 and the difference is 6. What are the numbers?
Larger number:
Smaller number:
x
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Check
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Answer:
29 and 35
Step-by-step explanation:
x+y=64
x-y=6
Solve by substitution.
x=6+y
6+y+y=64
6+2y=64
y=29
Then plug in 29 for y.
x+29=64 ......35
The two numbers that have a sum of 64 and a difference of 6 will be 29 and 35.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The sum of the two numbers is 64 and the difference is 6.
Let the two numbers be 'x' and 'y', and y is greater than x. Then the equations are given as,
x + y = 64 ...1
y - x = 6 ...2
Add both equations, then we have
y + y = 64 + 6
2y = 70
y = 35
Then the value of 'x' will be given as,
x + 35 = 64
x = 29
The two numbers that have a sum of 64 and a difference of 6 will be 29 and 35.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
At the end of a snow storm, Amelia saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. After the storm, the snow started melting at a rate of 1.5 inches per hour and it is known that 4 hours after the storm ended, the depth of snow was down to 12 inches. Write an equation for S, in terms of t, representing the depth of snow on Amelia's lawn, in inches, t hours after the snow stopped falling.
Answer:
The equation is;
S = 18 - 1.5t
Step-by-step explanation:
From the question, we are made to know that the depth of the snow is S and the time taken to melt in hours is t
After 4 hours of melting, the snow depth is 12 inches
Now, recall that the rate of melting is 1.5 inches/ hour
So in the 4 hours, the amount of snow melted will be 1.5 * 4 = 6 inches
So the total depth of the snow initially will be 6 + 12 = 18 inches
So let’s write the equation;
S = 18 - 1.5t
Where S is the depth of the snow after a particular number of hours t
The flywheel on a steam engine rotates 60 revolutions every 15 seconds what is the flywheel rate of revolution per second? need the unit rate too.
Answer:
The flywheel rate of the flywheel is 4 revolutions per second.
Step-by-step explanation:
From Rotation Physics we understand that flywheel rotates at constant rate. In this case, angular speed ([tex]\dot n[/tex]), measured in revolutions per second, is the number of revolutions done by the flywheel at a given interval of time. That is:
[tex]\dot n = \frac{n}{t}[/tex] (Eq. 1)
Where:
[tex]n[/tex] - Number of revolutions done, measured in revolutions.
[tex]t[/tex] - Time, measured in seconds.
If we know that [tex]n = 60\,rev[/tex] and [tex]t = 15\,s[/tex], then the angular speed of the flywheel is:
[tex]\dot n = \frac{60\,rev}{15\,s}[/tex]
[tex]\dot n = 4\,\frac{rev}{s}[/tex]
The flywheel rate of the flywheel is 4 revolutions per second.
Answer:
The answer for that question is 4 per second
Step-by-step explanation:
Just put that answer i know it on your choices i looked up goodle for this answer so your welcome
Hope this help
Pls leave a thanks if it did
175 miles at a speed of 25 miles per hour?
Answer:
That would take you 7 hours to get to your location.
Kareem has bought 24 pounds of dog food. He feeds his dog 2/3 pounds for each meal. For how many meals will the food last?
Answer:
Hot dogs- 4 packs (9 times 4 = 36)
Buns - 3 packs (12 times 3 = 36)
Step-by-step explanation:
There are 3 cats in the room and no other creatures. Each cat has 2 ears, 4 paws, and 1 tail.
Answer:
ok soooo whats the question like bruhhhhhh i here to anwser now tell me the question
Step-by-step explanation:
Simplify (4.5)(5)(−2).
Group of answer choices
45
4.5
−4.5
−45
Answer: -45
Steps: 4.5 × 5 × -2 = -45
Plz mark brainliest:)
what is the rectangular prism of 2 units and 7 1/3
Answer:
it could be 14 2/6 units squared
Step-by-step explanation:
idkI don’t know but for area is units squared and for volume it has units cubed
the density of salt is 80 pounds per cubic foot what is the approximate density of salt per cubic meter
Answer: Density = 1,282.26 kg/m^3
Step-by-step explanation:
Density = 80 lb/ft^3
We know that:
1lb = 0.4536 kg.
1ft^3 = 0.0283 m^3
then we can write:
1 = (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)
we can multiply our equation by this, and it wont be affected, then we have:
Density = 80 lb/ft^3 = 80 lb/ft^3 (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)
Density = 1,282.26 kg/m^3
Answer:
Density = 1,282.26 kg/m^3
Step-by-step explanation:
Density = 80 lb/ft^3
We know that:
1lb = 0.4536 kg.
1ft^3 = 0.0283 m^3
then we can write:
1 = (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)
we can multiply our equation by this, and it wont be affected, then we have:
Density = 80 lb/ft^3 = 80 lb/ft^3 (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)
Density = 1,282.26 kg/m^3
Step-by-step explanation:
If the point (7, 3) is on the graph of an equation, which statement must be true?
A. There are solutions to the equation for the values X= 7 and x= 3.
B. The values x= 3 and y= 7 make the equation true.
C. The values x= 7 and y= 3 are the only values that make the equation true.
D. The values x= 7 and y= 3 make the equation true.
Answer:
D
Step-by-step explanation:
A graph of an equation is the set of all points that make an equation true. X = 7, and Y = 3 are on that graph, so they are values that make the equation true.
Answer:
D
Step-by-step explanation:
Find the slope of the line that contains the points (-4,10) and (0,2)
Answer: x=-2
Step-by-step explanation: You have to do y-y÷x-x. So that means 2-10 which equals -8 and 0- negative 4, which equals 4. So for y, you have -8 and for x you have 4. Then you divide -8÷4 which equals -2
Subtract: (8x + 7) - (4x + 5) *
O4x + 12
O 44-12
O4x + 2
O 44-2
Answer:
4X+2
Step-by-step explanation:
Since there is a negative in front of (4X+5), this will change the signs of both 4x and +5 to (-4X) and (-5) respectively.
This will make the equation look like as follows:-
8X +7 - 4X- 5
Thus on solving we get:-
8X- 4X +7 - 5
= 4X +2
b - 7/4= -2/3
solve for b
b is equal to 13/12
move -7/4 over then add the fractions there you go
Scientists want to estimate the mean weight of mice after they have been fed a
special diet. From previous studies, it is known that the weight is normally
distributed with standard deviation 4 grams. How many mice must be weighed so
that a 95% confidence interval will have margin of error of 0.4 grams?
Write only an integer as your answer.
Answer:
n = 484
Step-by-step explanation:
If Confidence Interval CI = 95 % then α = 5% and α/2 = 2,5 %
α/2 = 0,0125
MOE for normal distribution is:
MOE = z * σ/√n
For α/2 = 0,0125 ⇒ z(score) = -2,2
MOE = |-2,2| * 4/√n
0,4*√n = 8,8
√n = 8,8 / 0,4
√n = 22
n = 484
A salesperson at a company sold 6,903,435 dollars of hardware for the year, a figure that represents the eighth decile of sales performance at the company. What can you conclude about their performance.
Answer:
The performance is good
Step-by-step explanation:
80% of the sales peoples sold less than this...
Find the elapsed time between 10:21 a.m. and 5:43 p.m.
6 hours, 4 minutes
7 hours, 22 minutes
5 hours, 22 minutes
16 hours, 4 minutes
Answer:
7 hours, 22 minutes
Step-by-step explanation:
17:00 (5:00) - 10:00 = 7 hours apart
43 - 21 = 22 minutes
PLEASE HELP ASAP!!!!! Use deductive reasoning to form a "Therefore" concluding statement from the given statements below:
All members of the softball team attended the awards banquet.
Alex is a member of the softball team.
Answer:
b
Step-by-step explanation:
a. Suppose a BMW dealer in Fullerton, CA is trying to calculate the probability of his car sale for next week. The dealer knows that the sale of car is normally distributed with mean 50 and variance 9. The variance 9 was calculated from the weekly car sale data of 20 weeks, as the population variance is not known to the dealer. What is the probability that the dealer will sell 51 or more cars next week? (Hint: use t distribution) (15)
Answer:
0.45576
Step-by-step explanation:
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
Standard Deviation = √variance
Mean = 50
= √9
= 3
z = 51 - 50/3
= 0.11111
Probability value from Z-Table:
P(x<51) = 0.54424
P(x>51) = 1 - P(x<51)
= 1 - 0.54424
= 0.45576
The probability that the dealer will sell 51 or more cars is 0.45576
The base area of a right circular cone is 1/4 of its total surface area. What is the ratio of the radius
to the slant height?
Given:
The base area of a right circular cone is [tex]\dfrac{1}{4}[/tex] of its total surface area.
To find:
The ratio of the radius to the slant height.
Solution:
We know that,
Area of base of a right circular cone = [tex]\pi r^2[/tex]
Total surface area of a right circular cone = [tex]\pi rl+\pi r^2[/tex]
where, r is radius and l is slant height.
According to the question,
[tex]\pi r^2=\dfrac{1}{4}(\pi rl+\pi r^2)[/tex]
Multiply both sides by.
[tex]4\pi r^2=\pi rl+\pi r^2[/tex]
[tex]4\pi r^2-\pi r^2=\pi rl[/tex]
[tex]3\pi r^2=\pi rl[/tex]
Cancel out the common factors from both sides.
[tex]3r=l[/tex]
Now, ratio of the radius to the slant height is
[tex]\dfrac{r}{l}=\dfrac{r}{3r}[/tex]
[tex]\dfrac{r}{l}=\dfrac{1}{3}[/tex]
Therefore, the ratio of the radius to the slant height is 1:3.