Answer:
30%
Step-by-step explanation:
Find the percent discount by dividing the change in the price by the original price:
(684 - 478.6) / 684
205.4 / 684
= 0.3
So, the percent discount was approximately 30%
19. The function f(x) = 27x – 67.5 has an
* -intercept at (a,0). The function g(x) is
defined in the table below and has an
x-intercept at (b,0). How much greater is the
value of b than the value of a?
Answer:
First we have the function f(x) = 27*x - 67.5
It has an x-intercept at (a, 0)
This means that:
f(a) = 0 = 27*a - 67.5
Solving the above equation we can find the value of a.
0 = 27*a - 67.5
67.5 = 27*a
67.5/27 = a = 2.5
Now let's look at equation g(x).
It is a linear equation, remember that a linear equation can be written as:
g(x) = y = A*x + B
Where:
A is the slope, and B is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂. y₂), the slope can be written as:
A = (y₂ - y₁)/(x₂ - x₁)
In this case we can select any two points from the table, for example, I will use the second and third points:
(1, 39) and (2, 32.5)
Then the slope is:
A = (32.5 - 39)/(2 - 1) = -6.5/1 = -6.5
Then the equation is something like:
g(x) = y = -6.5*x + B
B is the y-intercept, to find this value, we can use one of the two points we used before.
For example, (1, 39) means that g(1) = 39
Then:
g(1) = -6.5*1 + B = 39
= B = 39 + 6.5 = 45.5
Then the equation for g(x) is:
g(x) = -6.5*x + 45.5
Now, we know that g(x) has an x-intercept at (b, 0)
this means that:
g(b) = 0 = -6.5*b + 45.5
6.5*b = 45.5
b = 45.5/6.5 = 7
Then the difference between b and a is:
b - a = 7 - 2.5 = 4.5
b is equal to a plus 4.5
And the ratio is:
b/a = 7/2.5 = 2.8
b is 2,8 times larger than a.
a record impact books at a rate of 48 books every 2 minutes how many minutes do the worker need to unpack 168 books?
Answer:
7minutes
Step-by-step explanation:
so if 48 books are sorted in 120 seconds what about 168 books if you cross multiply you will get 420 seconds which converted to minutes is 7
A car wash charges customers $6 per wash. It costs the car wash company $2 per wash for materials and a base cost of $80. How many car washes are necessary for the car company to make $60 in profit?
Answer:
35 Car Washes
Step-by-step explanation:
Data:-
Sale Charges per wash = $6/-
Cost per wash = $2/-
Base cost = $80/-
Required Profit = $60/-
Required:-
No of Cash Washes to reach the required profit = ?
Solution:-
Sales - VC = Contribution Margin
$6 - $2 = $4 per unit
Required Sales in Unit = Fixed Cost + Target Profit / Contribution margin per unit
= $80 + $60 / $4
= 35 Units
Can someone please help! I'll do anything you want!
Can the sides of a triangle have lengths 3, 7, and 13?
Yes or No
Answer:
No
Step-by-step explanation:
Since the hypotenuse is 13, the 2 legs' sum HAVE to be GREATER than the hypotenuse or else it is not a triangle.
"A triangle is valid if sum of its two sides is greater than the third side."
which sequence has nth term 2n+5
a)7,21,35,
b)7,9,11,13
c)1,4,9,16
Answer:
The answer is b.Look below for details.
Step-by-step explanation:
Question no 1. The sequence has the common difference of 14.
t1=7
t2=21
t3=35
We have
tn=a+(n-1)d
=7+(n-1)14
=7+14n-14
=14n-7(Its not our answer)
Lets try b.
The common difference is 2 in this sequence.
t1=7
t2=9
t3=11
t4=13
We have
tn=7+(n-1)2
=7+2n-2
=2n+5(Its is our answer.) Got it.
Someone please Help!!!!!
Answer:
I believe that the slant height is 15.3 because of pythagorean theorem.
This means that the surface area is 740.2
Step-by-step explanation:
please help! will give brainliest. review the graph of function h(x). what is lim x-2 h(x), if it exists
Answer:
the answer is 0 or a
Find the angle measures.
Plz help me giving branliest. I need help with both
Answer:
The first one is 30
The second one is 20
Step-by-step explanation:
if a/b=2 what would 4b/a be
Answer:
2 i think
Step-by-step explanation:
if a/b is 2 then it means a/b is equivalent to 2/1 so the value of a would be 2 and the value of b would be 1 so then for 4b/a we would plug in the values giving us 4(1)/2 which gives us a final answer of 2
Answer:
2
Step-by-step explanation:
We can assume a = 2 and b = 1 since that is the smallest values that will equal 2.
add these values into the equation
4(1)/2
4/2
2
ayo can yall help me plzzz
Answer:
D, Impossible
Step-by-step explanation:
Answer:impossible
Step-by-step explanation:
there aren’t any green folders
If you multiply 2 xr you will get the ....?
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Tommy rides his bike 27 miles in 3 hours. If he rides at a constant speed, select the answer below that is equivalent ratio to the speed he rides. pls help ASAP
Help please ! I'm soo confused
Answer:
(1/7)^(-1)<(1/7)^(-2)
7(-1)<(1/7)^(-1)
7^-2<7^-1
Step-by-step explanation:
U can look at the negative exponent that negative sign as the divide sign over 1
7^(-1)means 1/7
7^(-2) means 1/7^(2)=1/49
(1/7)^(-1)=7
(1/7)^(-2)=49
There is a line that includes the point (4, 1) and has a slope of 1/4. what is its equation in
slope-intercept form?
Answer:
y=1/4x
Step-by-step explanation:
y=mx+b
m=1/4
so, y=1/4x+b
Now, look at our line's equation so far: . b is what we want, the 1/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,1).
So, why not plug in for x the number 4 and for y the number 1? This will allow us to solve for b for the particular line that passes through the point you gave!.
(4,1). y=mx+b or 1=1/4 × 4+b, or solving for b: b=1-(1/4)(4). b=0.
y=1/4x+0
thisss plss LOL again> (no link) if u do die.
Add a+b+c=p for the triangle.
24+26+10=60, Then add this to the semi-circles perimeter.
p=r(pi+2)
r=d/2
p=13(3.14+2)
p=13(5.14)
p=66.82
Add 66.82+60
66.82+60=126.82
Answer: 126.82
What is the radius when the circumference is 314
Answer:
Radius is 50 cm.
Step-by-step explanation:
can someone help me?
Answer: She has 6 nickles and 9 dimes.
Step-by-step explanation:
Let n be the # of nickles. Let d be the # of dimes.
n+d=15
0.05n + 0.1d =1.2
5n+10d=120
5(15-d)+10d=120
75-5d+10d=120
5d=45
d=9
n=15-d
n=15-9
n=6
What is the mean for the data set below?
14
54
54
35
25
34
21
23
A 25.1
B 29.5
C 32.5
D 40.0
O
С
D
Answer:
c) 32.5
Step-by-step explanation:
the formula for the mean of a data set is-
average= sum/count
14+54+54+35+25+34+21+23=260
so now we have our sum- 260
for the count, we just have to count how many numbers there are-
8
average= sum/count
=260/8
=32.5
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Jay took a number n and increased it by 25%. Then, he doubled the resulting product.
Which of the following is equivalent to these two steps and would result in the same final number?
A. doubling the number and then decreasing the result by 25%
B. increasing the number by 50%
C. multiplying the number by 1.25
D. multiplying the number by 2.5
Answer: multiplying the number by 2.5
Your answer
Step-by-step explanation:
Jay took a number n and increased it by 25%. This will be:
= n + (25% × n)
= n + (0.25 × n)
= n + 0.25n
= 1.25n
Then, he doubled the resulting product. This will now be:
= 2 × 1.25n
= 2.50n
Therefore, the equivalent will be option D "multiplying the number by 2.5".
A deck of cards has 5 pink, 2 gray, and 6 black cards. You pick 2 cards from the deck without replacement. What is the probability that the first card is gray and the second card is pink?
Answer:
[tex]\frac{5}{78}[/tex]
Step-by-step explanation:
First, find the probability that the first card is gray.
Since there are 13 cards in total, and 2 are gray, the probability will be 2/13
Next, find the probability that the second card is pink.
Since there are now 12 cards in total (since there is no replacement), and 5 are pink, the probability is 5/12.
Now, to find the probability that these are drawn in order, multiply the probabilities together:
[tex]\frac{2}{13}[/tex] x [tex]\frac{5}{12}[/tex]
= [tex]\frac{5}{78}[/tex]
So, the probability is [tex]\frac{5}{78}[/tex]
Shannon participated in a national math contest by taking a math test. The test results followed a normal distribution with a mean score of 72.6 points out of 100 and a standard deviation of 8.7. Shannon received a score of 81 points. Shannon thinks she performed better than 68% of the students in the contest
Shannon is incorrect because her score of 81 is...
a. approximately −2 standard deviations from the mean
b. approximately −1 standard deviations from the mean
c. approximately 1 standard deviations from the mean
d. approximately 2 standard deviations from the mean
What is the value of y in the solution to the system of equations?
3x + 4y = 30
3x + 5y = 33
Answer:
y = 3
Step-by-step explanation:
3x + 5y = 33 ---------------(I)
3x + 4y = 30 ----------------(II) {subtract equation (II) from (I)}
- - = -
1y = 3
y = 3
A rectangle is divided into equal squares. One row covers 1/8 of the whole rectangle. There are 3 squares in each row. How many squares are in the whole rectangle?
Answer:
There are 24 squares in the entire rectangle
Step-by-step explanation:
Trom the problem, we are given that one row covers 1/8 of the entire rectangle.
We are also told that this one row, contains three squares.
In other words, what this means is that three squares cover 1/8 of the entire rectangle.
The question is now if three squares cover only 1/8 of the rectangle, how many squares cover the whole rectangle.
In fraction, we can represent a whole using 1/1
We can set up a simple relation to this effect.
3 squares give 1/8 of the rectangle
x squares give 1/1 of the rectangle
cross multiplying, we have
x = 3 ÷(1/8) = 24
Therefore, there are 24 squares in the entire rectangle
The new Vigo the Vampire Hunter novel is 520 pages. Skyler has read 145 pages in 5 hours. Ramon has read 124 pages in 4 hours.
About how long will it take Ramon to read the entire novel if he continues to read at his current rate? ROUND TO THE NEAREST WHOLE NUMBER.
Answer:
17 hours
Step-by-step explanation:
so first since there are 520 pages we divide it by 124 pages we get 4.19
4.19x4 = 16.77
Rounded is 17
Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balance be when he checks it? I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link.
a.723.29
b. 1,394.00
c. $1,573.29
d. $68.00
Answer:
solution given:
principal [P]=$850
time[T]=8years
rate[R]=8%
now
simple interest [S.I.]=[tex] \frac{P×T×R}{100}[/tex] =$ [tex] \frac{850×8×8}{100}[/tex] =$544
so
Total balance=S.I.+P=$544+$850=$1394.
option b.$1,394.00 is your answer
What do rhombuses always have
Answer:
A, B, and D
Step-by-step explanation:
The number of calories burned while jogging varies directly with the number of minutes spent jogging. If george burns 150 calories by jogging for 20 minutes, how many calories does he burn by jogging for 30 minutes
below are two parallel lines with a third line intersecting them.
Answer:
x = 136
Step-by-step explanation:
x and 44 are supplementary angles which mean they add up to 180:
x + 44 = 180
x = 180 - 44
x = 136
Math Journal Cameron buys 4 notebooks and 2 packages of pens for $16.
Olivia buys 5 notebooks and 1 package of pens for $14.75. Write and solve
a system of equations to find the price of each notebook and the price of
each package of pens. Tell what each variable represents and what each
equation represents.
(No links please)
Answer: A notebook cost $2.25
A pen cost $3.50
Step-by-step explanation:
Let the price of notebook be n
Let the price of pens be p.
Cameron buys 4 notebooks and 2 packages of pens for $16. This will be:
4n + 2p = 16 ..... equation i
Olivia buys 5 notebooks and 1 package of pens for $14.75. This will be:
5n + p = 14.75 ..... equation ii
Combining both equations will give us:
4n + 2p = 16 ..... i
5n + p = 14.75 ...... ii
Multiply equation i by 1
Multiply equation ii by 2
4n + 2p = 16 ....... iii
10n + 2p = 29.50 ...... iv
Subtract equation iii from iv
6n = 13.50
n = 13.50/6
n = 2.25
A notebook cost $2.25
Since 4n + 2p = 16 from equation I
4n + 2p = 16
4(2.25) + 2p = 16
9 + 2p = 16
2p = 16 - 9
2p = 7
p = 7/2
p = 3.5
A pen cost $3.50