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
Identify the y intercept of the function -3(3)^x +4
A) (0,-3)
B) (0,1)
C) (0,-7)
D) (0,4)
Please help :(
Can someone help me please
Answer:
A. T > 50
Step-by-step explanation:
Write an exponential function and then find the value when t=7 initial value2000 annual rate:9.2%growth
Answer:
Step-by-step explanation:
Write an exponential function and then find the value when t=7 initial value2000 annual rate:9.2%growth
Exponential growth function
= y = a(1 + r)^t
Solving for y
y = 200(1 + 0.092)⁷
The volume of a rectangular prism is 473.2 cubic millimeters. If the length is 7 millimeters and the width is 10.4 millimeters, what is the height of the rectangular prism?
Answer:
c
Step-by-step explanation:
it is
PLZZZZZZZZZZZZ help asap thank you no links thank you .
Answer:
Answer is 969
Step-by-step explanation:
oasjfuagfiaifoqhfpwbnpvniohaoi
Solve for x:
[tex]5x + 5x = 100[/tex]
Answer: X=10
Step-by-step explanation:
A water container in the shape of a cone has a height of 5 inches and a diameter of 3.5 inches.
Enter an equation in the first blank box and a number in the second blank box to complete the statements about the
water container ___.
A. The formula to calculate the container's volume, V, with the given measurements is
B. The container can hold approximately ___ cubic inches of water. Round your answer to the nearest hundreth.
Answer
A. The formula to calculate the container's volume, V, with the given measurements is ⅓ π(1.25²)5.
B. The container can hold approximately 8.177 cubic inches of water. Round your answer to the nearest hundredth.
Step-by-Step Explanation
A. The formula to calculate any cone's volume is ⅓ πr²h. Replace the variables with the actual values of the cone. r stands for the cone base's radius, or half of the diameter. Because the diameter is 3.5, the radius is 1.25, or half of it. The h stands for the height of the cone. Now we can plug in the values. Our answer for this part is ⅓ π(1.25²)5.
B. Now to solve our equation. [tex]1.25^2[/tex] is equal to 1.5625. Now, multiply by the height. 1.5625 x 5 is equal to 7.8125. We now multiply by [tex]\pi[/tex]. We'll use 3.14 to shorten the answer a bit. Multiply 7.8125 by 3.14 and you'll get 24.53125. Last but not least, divide this by 3 (or multiply by [tex]\frac{1}{3}[/tex]). [tex]\frac{24.53125}{3}[/tex] = 8.1770833333... We now must round this to the nearest hundredth. This makes our final answer 8.177 [tex]in^3[/tex].
The population of rabbits on an island is growing exponentially. In the year 2000, the
population of rabbits was 220, and by 2004 the population had grown to 350. Predict
the population of rabbits in the year 2011, to the nearest whole number.
Answer:
Step-by-step explanation:
630
Answer:
789 to nearest whole number.
Step-by-step explanation:
In 4 years its increased from 220 to 350.
350 = 220(e)^4k where k is some constant.
e^4k = 350/220
4k = ln (350/220) = 0.4643
k = 0.1161
The equation of growth is therefore
P = 220e^0.1161t)
So in 2011 ( t = 11 years) the
Population = 220 * e^(11*0.1161)
= 789.
I need help please...
Answer:
i think your answer would be $38.60
Step-by-step explanation:
i hope its right
what is the radius of the cylinder
Answer:
5.99
Step-by-step explanation:
brainliest pwease??
The volume of a cylinder can be found with the following equation
[tex]V = r^2h\pi[/tex]
After inputting the known information we get
[tex]980\pi = r^220\pi \\\\[/tex]
Which simplifies to
radius = 7 or (-7)
For proof's sake, we can try the equation again with the known radius
[tex]980\pi = r^220\pi \\980\pi = (7^2)20\pi \\980\pi = (49)20\pi \\980\pi = 980\pi \\[/tex]
And because the radius is being squared, it can either be negative or positive.
To the nearest tenth, what percentage of people were in the 41 - 50 age group and favored the Do-It-Yourself books?
A. 9.2%
B 20.4%
C. 45.1%
D. 57.1%
HELPP ASAP
Answer: it should be 9.2%
Step-by-step explanation:
The percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .
What is Percentage ?Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, [tex]"\%"[/tex] .
Percentage [tex]=\frac{Obtained\ Number}{Total\ Number} *100[/tex]
We have,
Total number of people [tex]=750[/tex]
Number of people in the [tex]41 - 50[/tex] age group [tex]=268[/tex]
Number of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books [tex]=69[/tex]
So,
Percentage of favored the Do-It-Yourself books in the [tex]41 - 50[/tex] age group [tex]=\frac{Do-It-yourself\ 41-50\ age}{Total\ Number\ people} *100[/tex]
[tex]=\frac{69}{750} *100[/tex]
[tex]=9.2\%[/tex]
So, the percentage of people is [tex]9.2\%[/tex] .
Hence, we can say that the percentage of people in the [tex]41 - 50[/tex] age group and favored the Do-It-Yourself books will be [tex]9.2\%[/tex] .
To know more about Percentage click here
https://brainly.com/question/24159063
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You have 4 pounds of peanuts. You want to put it in the bags so that there is 2/3 pounds in each bag. How many bags can you fill ?
Answer:
6 bags
Step-by-step explanation:
This problem is essentially asking how many ([tex]\frac{2}{3}[/tex]) peanut bags can one fill with ([tex]4[/tex]) pounds of peanuts. This problem can be solved by divided ([tex]4[/tex]) by ([tex]\frac{2}{3}[/tex]). Set up the problem,
[tex]4[/tex] ÷ [tex]\frac{2}{3}[/tex]
In order to divide by a fraction, one must change the multiplication sign to a division sign, then take the reciprocal of the second number, the fraction. In order to take the reciprocal of a fraction, switch the numerator (number on top) and the denominator (number on the bottom).
[tex]4 * \frac{3}{2}[/tex]
Multiply,
[tex]\frac{12}{2}[/tex]
Simplify,
[tex]6[/tex]
37).
I have read 313 pages of my 1298 pages book. How many pages
must I read until I reach the middle?
Answer:
336
Step-by-step explanation:
Answer:
you should read 336 pages for you to reach the middle.
Step-by-step explanation:
1298/2--649
649-313--336
During Christmas sale, a local store in Virginia has marked all items 20% off. George Walker bought a microwave that normally sells for $100 and a refrigerator that usually goes for $250. Calculate the total sale price.
Answer:
it looks like the answer to this problem is $280.
Step-by-step explanation:
i got this answer because you add $100 and $250 together. You will get $350. Then you take 20% of that total. So, 20% of 350 is 70. Now take 350-70, which = 280. and that should be your final answer.
What is the value of y in the equation 2(2y - 12) = 0?
4
6
7
8
Answer:
The second option, 6
Step-by-step explanation:
opening the parentheses, the equation becomes,
4y - 24 = 0
4y = 24
y = 6
What is the standard form of a trinomial?
Answer:
ax2 + bx + c
Step-by-step explanation:
the 2 is the square
The maintenance crew of a hotel has to monitor the temperature of the hotel pool and hot tub. To enhance comfort, the management team requests that the mean pool temperature and the mean hot tub temperatures not differ by more than 15 degrees. To estimate the difference in these mean temperatures the maintenance crew selects a random sample of 8 times to check the hot tub temperature and a random sample of 10 times to check the pool temperature. Although the sample sizes are small, the distribution of temperature for the pool and for the hot tub does not show strong skewness or any outliers. The mean pool temperature is 86 degrees with a standard deviation of 3 degrees. The mean hot tub temperature is 101 with a standard deviation of 1.8 degrees. What is the correct 95% confidence interval for the true difference in the population means (hot tub – pool)? Use the conservative df.
Answer: Option D
Explanation: 100%
HELP PLEASE!
Eight light poles are evenly spaced along a street. A total of 140 plastic pipes of the same length are placed EQUALLY between the 8 poles.
a) How many pipes are placed between the FIRST and SECOND poles?
b) Each pipe is 6 meters long. The pipes are connected end to end just touching each other between the poles. What is the distance between the first and second poles?
Answer:
n m n .m .nmn nm Step-by-step explanation:
Use the graph that shows the solution to f(x) = 9(2).
What is the solution to f(x) = g(x)?
Select each correct answer
Answer:
Step-by-step explanation:
hello :
the first graph : 1 and -1 at second ; 2
Choose all of the values for x that are solutions to x < -2.
A.x=0
B. x=2
C. x= -2
D.x=-1/2
E. x= -4
14 = 7n
help please
Answer:
n = 2
Step-by-step explanation:
divide by 7 on both sides
Answer:
n = 2
Step-by-step explanation:
7n is the same as 7 times value = 14.
You may find the value of n by simply dividing both sides by seven, in order to isolate the variable.
^ 14/7 = 7n/7
^ (simplified) 2 = n or n =2
Therefore:
Your answer is 2 or n's value in this scenario is 2.
please dont guess<3!!!
Answer:
I'm sorry I wont guess, I dont know
Find the area. Please hurry!
Daniel has read 40% of a book. He has 30 more pages to finish. How many pages are there in the book?
Answer:
75 Pages
Step-by-step explanation:
If he has 40% completed, it is 0.40 as a decimal. We are trying to solve for the total number of pages in the book, or the whole.
part/whole = percent
Let x = total number of pages in the book
30/x=0.40
x=30/0.40 = 75 pages in the book
3. Here are diagrams that represent 0.137 and 0.284.
tenths
hundredths
thousandths
a. Use the diagram to find the value of. Explain your reasoning.
b. Calculate the sum vertically.
0.1 3 7
0.2 8 4
+
Can you pllllsssssss help meeeeee
Answer:
0
Step-by-step explanation:
find mean : 2+3+4+7 divided by 4 equals 4
subtaract mean from valuses: 2-4= -2 , 3-4= -1 , 4-4= 0 , 7-4= 3 ,
find mean with new numbers: -2+-1+3+0 divided by 4 equals 0 (everything cancels out)
Help!! I’ll give brainliest!!
Answer:
A. -1
Step-by-step explanation:
To find the slope, subtract the x-coordinates, subtract the y-coordinates, lastly, divide the differences.
(3,1) (4,0)
3 - 4 = -1
1 - 0 = 1
-1 ÷ 1 = -1
-1 is the slope.
A certain bank offers a car loan with a fixed annual interest rate. Justine applied for the loan and used the entire amount to buy a car worth $43,000. He had to pay the bank for five years for a total amount of $51,600. How much would be the yearly interest if Justine borrowed $50,000 instead? *
0 points
Answer: $10000
Step-by-step explanation:
From the question,
Principal = $43000
Time = 5 years
Rate = Unknown
Simple Interest = $51,600 - $43000 = $8600
We need to calculate the rate of interest which will be:
Interest = PRT/100
8600 = (43000 × 5 × Rate) / 100
Cross multiply
8600 × 100 = 215000 × Rate
Rate = 860000 / 215000
Rate = 4%
Assuming Justine borrowed $50,000 instead, the yearly Interest will be:
= (50000 × 5 × 4%)
= 50000 × 5 × 0.04
= $10000
Mark invests £12000 in a savings account. the account pays 1.5% compound interest per year. work out the value of her investment after two years?
Answer:
FV= £12,362.7
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= £12,000
Number of periods (n)= 2 years
Interest rate (i)= 1.5% = 0.015
To calculate the Future Value, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 12,000*(1.015^2)
FV= £12,362.7
If a angle on the circumference of a circle is subtended by a diameter of the circle what is the angle
Answer:
The angle is 90 degrees
Step-by-step explanation:
Required
Angle subtended by the diameter
The theorem to solve this is:
The angle subtended by an arc is twice the angle it subtends.
The diameter forms [tex]180^\circ[/tex] on the circle, so we have:
[tex]2*\theta = 180^\circ[/tex]
Where [tex]\theta[/tex] is the angle subtended
Solve for [tex]\thets[/tex][tex]\theta[/tex]
[tex]\theta = \frac{180^\circ}{2}[/tex]
[tex]\theta = 90^\circ[/tex]
