Answer: A roll of plain wrapping paper costs $17, while a roll of holiday wrapping paper costs $20.
Step-by-step explanation: First let us represent a roll of plain wrapping paper with letter p and a roll of holiday wrapping paper would be represented by d. If Eduardo sold 5 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for $185, then we can express this as
5p+ 5d= 185
Also if Sarawong sold 14 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for $338, then this too can be expressed as
14p + 5d = 338
Now we have a pair of simultaneous equations which are,
5p + 5d = 185 ———(1)
14p + 5d = 338 ———(2)
Since all the variables have coefficients greater than 1, we shall use the elimination method. Note that the coefficients of the d variable are both 5, so straight away we subtract equation (1) from equation (2) and we now have;
(14p - 5p) + (5d - 5d) = 338 - 185
9p = 153
Divide both sides of the equation by 9
p = 17
Having calculated p, we can now substitute for the value of p into equation (1)
5p + 5d = 185
5(17) + 5d = 185
85 + 5d = 185
Subtract 85 from both sides of the equation
5d = 100
Divide both sides of the equation by 5
d = 20
Hence, the cost per roll of plain wrapping paper is $17, while the cost per roll of holiday wrapping paper is $20.
one less than three time n is seven
Answer:
n= 7/2x
Step-by-step explanation:
What is the image point of (-2,6) after a translation left 2 units and up 4 units?
Answer:
[tex](-4,10)[/tex]
Step-by-step explanation:
When you translate (x,y), left 2 units and up 4 units, it becomes (x-2,y+4)
We are given the point (-2,6).
We want to find the image of this point after a translation left 2 units and up 4 units.
[tex](-2,6)\to(-2-2,6+4)[/tex]
We simplify to get:
[tex](-2,6)\to(-4,10)
[/tex]
Final answer:
The image point of (-2,6) after a translation left 2 units and up 4 units is (-4,10).
Explanation:
To determine the image point of (-2,6) after a translation left 2 units and up 4 units, we simply need to adjust the x-coordinate and the y-coordinate by the amounts specified by the translation. Moving left 2 units means we subtract 2 from the x-coordinate, and moving up 4 units means we add 4 to the y-coordinate.
Starting with the x-coordinate of -2, we subtract 2:
-2 - 2 = -4.
So, the new x-coordinate is -4.
Starting with the y-coordinate of 6, we add 4:
6 + 4 = 10.
So, the new y-coordinate is 10.
Therefore, the image point after the translation is (-4,10).
the year 2000, a company made $4.9 million in profit. For each consecutive year after that, their profit increased by 13%. How much would the company's profit be in the year 2003, to the nearest tenth of a million dollars?
Answer:
14.7 is the best answer i can come up with it might be wrong it might not be to be helpful there you go
Step-by-step explanation:
To find the company's profit in the year 2003, we need to apply a 13% increase for each consecutive year. Starting from an initial profit of $4.9 million in 2000, we can calculate the profit for each year using the given formula.
Explanation:To find the company's profit in the year 2003, we need to apply the given increase of 13% for each consecutive year. Starting from the initial profit of $4.9 million in 2000, we can calculate the profit for each year using the formula:
New Profit = Previous Profit + (Previous Profit * 0.13)
Using this formula, we can determine the profit for the year 2003 as follows:
Year 2000 Profit: $4.9 million
Year 2001 Profit: $4.9 million + ($4.9 million * 0.13) = $5.537 million
Year 2002 Profit: $5.537 million + ($5.537 million * 0.13) = $6.267 million
Year 2003 Profit: $6.267 million + ($6.267 million * 0.13) = $7.082 million
Therefore, the company's profit in the year 2003 would be approximately $7.082 million to the nearest tenth of a million dollars.
If you earn $2850 per month and you expect your earnings to increase by 6.6% per year, how much do you think you will be making in 2 years?
Answer:
To calculate how much you will be making in 2 years, given that you earn $2850 per month and your earnings are expected to increase by 6.6% per year, we can follow these steps:
1. Calculate the annual increase: To find the annual increase, we multiply the current earnings by the percentage increase. In this case, the annual increase would be 2850 * 0.066 = $188.10.
2. Calculate the total increase over 2 years: Since the earnings are expected to increase by the same amount each year, we can multiply the annual increase by 2 to get the total increase over 2 years. In this case, the total increase would be 188.10 * 2 = $376.20.
3. Calculate the future earnings: To find the future earnings after 2 years, we add the total increase to the current earnings. In this case, the future earnings would be 2850 + 376.20 = $3226.20.
Therefore, based on the given information, you can expect to be making approximately $3226.20 in 2 years.
If you earn $2850 per month with an annual increase of 6.6%, in two years you will be making approximately $3239.40 per month.
If you are currently earning $2850 per month and expect your earnings to increase by 6.6% each year, then to calculate your earnings in 2 years, we need to take into account the compound interest formula which can be applied to salary growth as well. The formula to calculate the future value after a certain number of years is:
Future Value = Present Value x (1 + Rate of Increase)Number of Years
In this case, your Present Value is $2850, the Rate of Increase is 6.6% (expressed as a decimal, which is 0.066), and the Number of Years is 2.
Calculate the earnings for the first year: $2850 x (1 + 0.066) = $3038.10.
Then calculate the earnings for the second year: $3038.10 x (1 + 0.066) = approximately $3239.40.
Therefore, in two years, you would be making approximately $3239.40 per month.
Two positive numbers have a difference of 4 and a product of 96. What are the numbers?
A
B
12 and 8
16 and 6
16 and 12
D.
18 and 14
Reset
Next
Answer:
12 and 8
Step-by-step explanation:
the difference is 4 if you do 12-8=4
the product sum is 96 which is 12*8=96
Answer:
12 and 8
Step-by-step explanation:
Let the numbers be x and y
x - y = 4 ................(1)
xy = 96 ..................(2)
From equation 1
x = 4+y ..............(3)
Put x = 4+ y into equation 2
y(4+y) = 96
y² +4y = 96
y² + 4y - 96 = 0
Solve quadratically using factorisation method
y² + 12y - 8y - 96 =0
y(y+12) - 8 ( y + 12) = 0
(y +12)(y -8) = 0
y = -12 or 8
When y = -12
x = 4+y = 4-12 = -8
When y= 8
x = 4+y = 4+8 =12
Numbers are 12 and 8 or -8 and -12
I hope this was helpful, please mark as brainliest
when did pollution begin
Answer:
1780s to 1830s
Step-by-step explanation:
Pollution is not a new phenomenon. In fact, pollution has been a problem since the appearance of our earliest ancestors (Markham, 1994). Increasing human populations have opened the door to more bacteria and disease. During the Middle Ages, diseases such as cholera and typhoid fever broke out all across Europe.
Answer:
11,000 years ago.
Step-by-step explanation:
I pulled it from my notes!!!
Find the percent of change:
Original = 70
New = 100
Answer:30
Step-by-step explanation:
100-70
I walked for 2 1/2 hours at 4km/h and for 4 hours at 2 1/2 km/h. What was the average speed for the entire journey?
Average speed of the entire journey is 3.08 km/hr
Step-by-step explanation:
Step 1: In the first half, given that the speed = 4 km/h and time = 2 1/2 = 2.5 hrs. Calculate the distance covered.Distance = Speed × Time = 4 × 2.5 = 10 km
Step 2: In the second half, given that speed = 2 1/2 = 2.5 km/hr and time = 4 hrs. Calculate the distance covered.Distance = 2.5 × 4 = 10 km
Step 3: Calculate average speed.Average Speed = Total distance/Total time
= 10 + 10/2.5 + 4 = 20/6.5
= 3.08 km/hr
During the election for class president, 30% of the students voted for Lindsay, and 70% of the students voted for Sharif. 400 students voted in total. How many more students voted for Sharif than for Lindsay
15. There were 150 students who were surveyed
and asked whether they played a sport and
whether they played a musical instrument. The
results are shown in the table.
Answer:
its 1/7
Step-by-step explanation:
i took the quiz
What is the quotient ? 7^-5/7^2
Answer:
1/823543
Step-by-step explanation:
7^-5/7^2
so basically add them because its a neg. exponent.
7^-3
that equals 1/7^3
mark me brianliest please!
Answer:
is a
Step-by-step explanation:
got it right on the asighnment
What is the slope of the following graph?
Slope is 20/3 or 6.67
Step-by-step explanation:
Step 1: Slope, m is given by the equation (y2 - y1)/(x2 - x1). Here, x1 = 6, x2 = 12, y1 = 40 and y2 = 80⇒ m = (80 - 40)/(12 - 6)
= 40/6 = 20/3 or 6.67
Simplify by combining like terms 4s + 1/6s + 2 3/5s. There’s supposed to be a whole number and a fraction for the answer. Please HELP!
Answer:
[tex]6\dfrac{23}{30} s[/tex]
Step-by-step explanation:
The first step in simplying
[tex]$4s+\frac{1}{6}s +2\frac{3}{5}s $[/tex]
is to bring the mixed number [tex]2\frac{3}{5}s[/tex] into the form of an improper fraction:
[tex]$2\dfrac{3}{5}s = (2+\frac{3}{5})s =(\frac{10}{5} +\frac{3}{5})s = \frac{13}{5}s $[/tex]
Therefore, the expression now becomes
[tex]$4s+\frac{1}{6}s +\frac{13}{5}s $[/tex]
and to simplify further we find the common denominator of the fractions which is
[tex]6*5 =30[/tex],
therefore,
[tex]$4s+\frac{5}{30}s +\frac{78}{30}s $[/tex]
[tex]$\frac{120}{30} s+\frac{5}{30}s +\frac{78}{30}s $[/tex]
add the numerator and get:
[tex]\dfrac{203}{30} s[/tex]
as a mixed number this is
[tex]6\dfrac{23}{30} s[/tex]
Thus,
[tex]$\boxed{4s+\frac{1}{6}s +2\frac{3}{5}s = 6\dfrac{23}{30} s} $[/tex]
What is the next term of the geometric sequence?
375,75,15
Answer:
3
Step-by-step explanation:
375/5 = 75
75/5 = 15
15/5 = 3
.... Basically you are dividing each term by 5 until you reach 3.... the most simplified version of this equation.
The next (i.e the 4th) term of the geometric sequence: 375, 75, 15 is 3
What is a geometric sequence?
This is a sequence which have common ratio between each term. It is represented as
Tₙ = arⁿ¯¹
Where
a is the first term
r is the common ratio
n is the number of term
Tₙ is the nth term
How to determine the next termSequence: 375, 75, 15First term (a) = 375Common ratio (r) = 75 / 375 = 0.2Number of term (n) = 4Fourth term (T₄) =?
Tₙ = arⁿ¯¹
T₄ = 375 × 0.2⁴¯¹
T₄ = 375 × 0.2³
T₄ = 3
Learn more about geometric sequence:
https://brainly.com/question/11266123
A jar contains only pennies, nickels, dimes, and quarters. There are 25 pennies, 21 dimes, and 29 quarters. The rest of the coins are nickels. There are 92 coins in all. How many of the coins are not nickels? If n represents the number of nickels in the jar, what equation could you use to find n?
(This solves to n = 17 meaning there are 17 nickels)
=====================================================
Explanation:
"There are 25 pennies, 21 dimes, and 29 quarters", so there are 25+21+29 = 75 coins so far. This is the amount of coins that aren't nickels. The rest are nickels, which is some amount n. This adds to the 75 to get 75+n. Set this equal to 92 because there are 92 coins in all. That's how we end up with 75+n = 92.
-----
Extra info
The equation 75+n = 92 is the same as n+75 = 92. Subtract 75 from both sides to isolate n. You should get n = 17 after doing so.
To find the number of coins that are not nickels, subtract the number of nickels from the total number of coins. Alternatively, solve for 'n' by subtracting the known quantities of pennies, dimes, and quarters from the total number of coins.
Explanation:To find the number of coins that are not nickels, we need to subtract the number of nickels from the total number of coins. Given that there are 92 coins in total and the number of nickels is represented by 'n', the equation to find the number of coins that are not nickels is 92 - n.
Alternatively, we can solve for 'n' by subtracting the known quantities of pennies, dimes, and quarters from the total number of coins. We know there are 25 pennies, 21 dimes, and 29 quarters. So, we have n = total number of coins - number of pennies - number of dimes - number of quarters = 92 - 25 - 21 - 29. Simplifying this equation gives us the value of 'n'.
Four students set up a lemonade stand.At the end of the day,their profit is $17.52. How much money do they have when the profit is split equally?
Answer:
$4.38
Step-by-step explanation:
Lets recap the information we are told in the problem:
There are 4 students in total
Their total profit is $17.52
The total profit needs to be split equally between them
Now we can focus on solving. To do so we can set up an equation like this:
(Total profit) ÷ (Number of students) = (Amount each student gets)
Lets insert our numbers into this equation:
$17.52 ÷ 4 = $4.38
So each student gets $4.38 each when the profit is split equally.
Out of the entire profit of $17.52, each one of the students will be able to take home a profit of $4.38.
These four students were able to sell enough lemonade that they made $17.52.
They will need to divide the profit amongst themselves and when they do so, each one of them will get:
= Profit made / Number of students
= 17.52 / 4
= $4.38
In conclusion, each one of the students will get $4.38.
Find out more at https://brainly.com/question/21391192.
A square will sides of 3 cm is cul on from a
square board with sides of 9 cm. Find the area of
the remaining pari.
Answer: the answer 27
Step-by-step explanation:
look at the word area you have to multipy the question
Answer:
36cm²
Step-by-step explanation:
remaining part length = 9cm - 3cm
= 6cm
Therefore area of remaining part which is a square = length × length
= 6cm × 6cm
= 36cm²
I hope this was helpful, please mark as brainliest
What is the wright answer
Answer:
Yes, these two fractions are equivalent. Additional equivalent fractions are given below.
Step-by-step explanation:
To determine if two fractions are equivalent, we should simplify each fraction into its simplest form.
Brett's fraction is 4/8. To simplify this fraction, we should divide both the numerator the denominator by the GCF, or greatest common factor. The GCF is 4, so we should divide both of these numbers by this factor to simplify. This is shown below:
4/8 = 4/4 / 8/4 = 1/2
Aisha's fraction is 1/2. Since the GCF of 1 and 2 is 1, we know that this fraction is already in its simplest form.
When we compare the simplified versions of the two fractions, we see that they are both 1/2; therefore, they are the same.
To determine additional equivalent fractions, we should multiply both the numerator and the denominator by the same factor. For example, 4/8 is generated by multiplying both the numerator and denominator by a factor of 4. By this same logic, 2/4, 3/6, and 5/10 are all also equivalent fractions (multiplied by factors of 2, 3, and 5, respectively).
For more information on simplifying fractions and finding GCFs, please check out these other questions on Brainly:
https://brainly.com/question/29116962
https://brainly.com/question/37016926
Hurry!! Fast!! 10 points!!
The lengths of two sides of a triangle are 15 inches each. The third side measures 10 inches. What type of triangle is this? Explain your answer using geometric terms.
Answer:
it is an Isosceles triangle
Step-by-step explanation:
because it has two side the same and the other one is different
Answer
isosceles triangle
Step-by-step explanation:
A rhombus with four right angles
Answer: A rhombus with 4 right angles make a square
which table goes with this equation?
y=x+5
Answer:
C is the answer
Step-by-step explanation:
y = x + 5
If x = 0,
y = 0 + 5 = 5
Again, if x = 1,
y = 1 + 5 = 6
Again if x = 2,
y = 2 + 5 = 7
Therefore, option C is the answer.
x y
0 5
1 6
2 7
Other options A, B, and D are not correct. Because if x = 0, y cannot be equal to either 0 or 3. Again, if x = 1, y cannot be equal to either 3 or 4.
HELP URGENT I WILL GIVE 20 POINTS
h = 9.2 cm
Solution:
Base of smaller triangle = 5 cm
Height of smaller triangle = 2.3 cm
Base of larger triangle = 15 cm + 5 cm = 20 cm
Height of larger triangle = h
[tex]$\frac{2.3}{5}=\frac{h}{15+5}[/tex]
[tex]$\frac{2.3}{5}=\frac{h}{20}[/tex]
Multiply by 20 on both sides.
[tex]$20 \times \frac{2.3}{5}=\frac{h}{20} \times 20[/tex]
[tex]$\frac{46}{5}=h[/tex]
9.2 = h
So that Ryan should have add 15 and 5 to get a denominator of 20 on the right sides of the first line. Doing so gives the correct value, h = 9.2 cm.
In basketball you can earn three points for a shot and 1 point for a free-throw if Sam’s probability of getting a three point shot is 4/10 and 8/10 for free throw what is expected value for the game
Answer:
Step-by-step explanation:
five times a certain number, minus 5 is equal to 7 more than three times the number
To solve the equation, we can set up the equation as '5x - 5 = 3x + 7' and solve for x using algebraic manipulations.
Explanation:Let's solve this equation step by step. Let's assume that the number we are looking for is 'x'.
According to the question, 'five times a certain number, minus 5' can be represented as 5x - 5. And 'seven more than three times the number' can be represented as 3x + 7.
So, we can write the equation as 5x - 5 = 3x + 7. Now, let's solve for x.
Subtract 3x from both sides: 5x - 3x - 5 = 3x - 3x + 7.
Simplify: 2x - 5 = 7.
Add 5 to both sides: 2x - 5 + 5 = 7 + 5.
Simplify: 2x = 12.
Divide both sides by 2: 2x/2 = 12/2.
Simplify: x = 6.
Therefore, the solution to the equation is x = 6.
Learn more about Solving equations here:https://brainly.com/question/18322830
#SPJ2
16,15,13,12,17,14,11,9,11,9,10,9 find the median,first quartile (Q1), and third quartile (Q3)
Answer:
12
Step-by-step explanation:
ALL YOU HAVE TO DO IS PUT THE NUMBERS IN ORDER THEN FIND THE MIDDLE NUMBER
Answer:
median = 11.5 . first quartile = 9.5 , third quartile = 14.5
Step-by-step explanation:
arrange the 12 numbers in order:9,9,9,10,11,11,12,13,14,15,16,17
mediansince there is an even number (12)
we can divide by 2
12 /2
= 6th position and 7th position
= 11 + 12
= 23 / 2 = 11.5
median is 11.5first quartileis also known as the lower quartile is half of the median position
6/2 = 3rd position and 7/2 = 3.5th position
9 + 10 = 19
19 / 2 = 9.5
first quartile is 9.5third quartilealso known as upper quartile
is the position of median + position of lower quartile
= 6 +3 = 9th position and 7 +3 = 10th position
= 14 + 15 = 29
29/2 = 14.5
third quartile is 14.5Which figures are polygons ? Select each correct answer.
Figure A Figure B Figure C Figure D
Polygons are closed, two-dimensional shapes with straight, fully connected sides. Figure A, Figure B, Figure C are polygons.
To determine which figures are polygons, we must understand that a polygon is a closed, two-dimensional shape with straight sides that are fully connected at each endpoint.
There should be at least two or more straight sides in a polygon.
Figure A: It is a polygon as it has more than two sides and is closed.
Figure B: It is also a polygon as it has 6 sides and angles and is also closed in shape.
Figure C: It is not a polygon as it does not have straight line more than two, it is closed but it contains curved line.
Figure D: It is polygon as it contains straight lines and is closed.
Can someone please explain how to do this?
Answer:
e = 30
Step-by-step explanation:
Since 114 and the adjacent angle are supplementary, that means they add up to 180.
114 + x - 114 = 180 - 114
x = 66
Now, solve inside the triangle which adds up to 180.
54 + 66 + 2e = 180
120 + 2e - 120 = 180 - 120
2e / 2 = 60 / 2
e = 30
Answer: e = 30
Solve for the value of z: 8/5 = 16/z
Answer:
Step-by-step explanation:
[tex]\frac{8}{5}=\frac{16}{z}\\\\ 8*z=16*5\\\\z=\frac{16*5}{8}\\\\z=2*5\\\\z=10[/tex]
HIJK is a parallelogram. Find w.
*show your work please*
__
giving brainliest to correct answer
Answer:
w = 4
Step-by-step explanation:
Since the figure is a parallelogram, we know that opposite sides must be equivalent. That means that JK = HI. So w + 29 must equal 9w - 3.
Once the problem is set up, it looks like: w + 29 = 9w -3.
Now you have to try to get the variables on one side. To do that, subtract 29 from both sides: w = 9w - 32.
Now subtract 9w from both sides: -8w = -32
Divide both sides by -1 to make them positive: 8w = 32
And divide both sides by 8 to find the value of w: w = 4
Hope this helps!
The system of equations y=-3/4x-1 and y=2x-4 is shown on the graph below. What is a reasonable estimate for the solution?
Answer: the reasonable estimate is (1.1, -1.9)
Step-by-step explanation: in solving simultenous equations graphically the answer is choosing by tracing the intercept of the two lines
Answer:
the reasonable estimate is (1.1, -1.9)
Step-by-step explanation: