Grace and Jamal each bought notebooks for school. Grace bought 3 notebooks for $3.90 while Jamal bought 2 notebooks for $2.20. What was the unit price of each student's notebooks?

Answers

Answer 1
3.9/3=$1.30

2.2/2=$1.10

The unit prices are $1.30 and $1.10.
Hope this help!
Answer 2
The unit price for Grace book is $1.30 and Jamal is $1.10.


Related Questions

128 is the product of Julie's savings and 8
Use the variable j to represent Julie's savings.

Answers

128=8j; divide both sides by 8

j=16

If a binomial event has a probability of success of 0.2, how many successes would you expect out of 6000 trials?

Answers

0.2 is 1/5 so 1/5 of 6000 is 1,200 successes

Answer:

The success would expect are 1200.    

Step-by-step explanation:

Given : If a binomial event has a probability of success of 0.2.

To find : How many successes would you expect out of 6000 trials?

Solution :

The probability of success p=0.2.

The number of trials is n=6000

The formula to find number of successes is

The mean (expected value) of number of successes is the multiple of success and number of trials,

[tex]M=np[/tex]

[tex]M=6000\times 0.2[/tex]

[tex]M=1200[/tex]

Therefore, The success would expect are 1200.

 

A bridge is 28 meters long. Find the length of a scale model if the scale is 1 cm = 5.5 meters. Round to the nearest tenth.


a.
5.1 cm

c.
4.7 cm

b.
5.5 cm

d.
6.4 cm

Answers

28m(cm/5.5m)=56/11 cm

≈5.1 cm  (to nearest tenth of a centimeter, or to nearest millimeter)

Based on the length of the bridge and the scale used, the length of the scale model is a. 5.1 cm.

What is the length of the scale model?

This can be found as:

= Length of Bridge / Number of meters per centimeters

Solving gives:

= 28 / 5.5

= 5.09

= 5.1 cm

In conclusion, option A is correct.

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At the beginning of every year molly deposits 200 in a savings account thst offers 20% interest annually. The total amount molly woukd have in her account after 3 years is? I got 345.60 but wrong?

Answers

3 years
200 * (1.2)^3 = 345.60

2 years
200 * (1.2)^2 = 288.00

1 years
200 * 1.2^1 = 240.00

It seems you calculated 200.00 for 3 years.
You need the total which equals:
345.60 + 288.00 + 240.00
= 873.60

There is a formula for this:
Total = Amount * ([(1+rate)^(years+1) -1] / rate) - amount
Total = 200 * ([(1.20^4) -1] / .20) - 200
Total = 200 * [( 2.0736 -1) / .20] -200
Total = 200 * ( 1.0736 / .20) - 200
Total = 200 *  5.368 -200
Total = 1073.6 -200
Total = 873.60


We know that y=mx+b is the formula we use for lines. Is the value of "m" considered to be a term, a coefficient or a factor?

Question 3 options:

Term


Coefficient


Factor

Answers

The m is the slope, I'd say it is a term

Corinne has a job selling magazines. She earns $7.50 per hour plus 20% of the total amount of her sales. She also gets an allowance of $40 per week for gas. She knows her weekly earnings can be shown using the following expression: 7.50h + 0.20s + 40 Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points) Part B: If Corinne works for 25 hours and sells $300 in magazines, how much does she earn for the week? Show your work to receive full credit. (4 points) Part C: If Corinne gets a raise and begins earning $9 per hour, would the coefficient, variable, or constant in the equation change? Why? (3 points) (10 points)

Answers

Plugging B into the equation, we get 7.5(25)+(300*5/100)+40=187.5+15+40=
242.5 dollars

For C, since she gets 7.5 dollars per hour, we simply change the 7.5 to 9. Since 7.5 is a number multiplied by a variable, it is a coefficient. 

Solve for x..
a) x= 8
B) x= 22.5
C) x= 32.4
D) x= 40.5

Answers

12/27= 18/x 
so
x = 15*18 / 12
x = 270/12
x = 40.5

answer
D . x = 40.5
x/18 = (15+12)/12 <=== when you put in fractions, the numerator or denominator from both the fractions should be from the same triangle

x/18 = 27/12 <=== cross multiply it
12x = 27×18
x = 486/12
x = 40.5

Write an algebraic expression for 4 more than p

Answers

p+4 is the expression
The answer to your question is 4>p 

Identify the slope of the line shown in the graph below:

Answers

This is a vertical line an all vertical lines have an undefined slope.

When is buying a house and renting it out a profitable venture?

Answers

When the rent money coming in is more than the monthly mortgage, taxes, and maintenance, rental real estate is profitable

Answer:

When what you enter for rent is greater than the mortgage, taxes, maintenance and rent.

Step-by-step explanation:

Buying the house is an investment if we do it to generate income. Otherwise, it is simply the place where we live, spend time and enjoy with our family

The purchase for investment purposes is when we buy apartments for rent or for the purpose of renovating and selling them quickly for a higher price.

The sum of two numbers is 64 . the smaller number is 14 less than the larger number. what are the numbers?

Answers

..2x+14=64
x=25
...x+y=64
25+y=64
y=39
x is the smallest,y is the largest

The value of a larger number is 39 and the smaller number is 25.

Given that,

The sum of the two numbers is 64.

And, the smaller number is 14 less than the larger number.

Let us assume that,

The larger number is = x

Then, the value of smaller numbers = x - 14

Since the sum of the two numbers is 64.

Hence we get;

x + (x - 14) = 64

2x - 14 = 64

2x = 64 + 14

2x = 78

x = 78/2

x = 39

Thus, The larger number is = 39

Then, the smaller number = 39 - 14

                                            = 25

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Compare and contrast the perpendicular bisectors, medians, and altitudes of a triangle. How are they alike? How are they different?

Answers

A perpendicular bisector is a line that intersects a given segment at a 90° angle, and passes through the given segment's midpoint.

A median of a triangle is a line segment joining a vertex to the midpoint of the opposing side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.

An altitude of a triangle is a line segment through a vertex and perpendicular to a line containing the base.

Need help. Have photo

Answers

The answer is choice B. See the attached image for the steps on how I got to that result.
The answer is B .
Square root 96
= square root (6×16)
= 4square root 6
=4 square root 2×square root 3

Square root 8
= square root (2×4)
=2 square root 2

4square root 2× square root 3÷ 2 square root 2
=2 square root 3

What is 65 percent converted into a fraction in simplest form\?

Answers

65% = 0.65 = 65/100
(65/100) / (5/5) = 13/20
13/20 is the simplest fraction achievable.

I hope this helps, let me know if you have any questions!

How many feet of chain fence are necessary to enclose a dog pen that is square and has an area of 64 square feet?

Answers

Since we know that the area of a square is length x width and that the length=width, we can write an equation in order to find out the side of a square by using what is given. We know that the area of the square is 64 ft^2 which means that each side is equal to 8 using the equation shown below  

x^2=64
(length)(width)=64
length=width
(x)(x)=64
x=8

Now we know all the sides of the square which is 8ft. 
However, we're not done.
The question is asking for the amount of chain fence that is needed in order to enclose the square dog pen. 
The question is asking us to find the perimeter. 
Since we know what the sides of this square are, we can either add all the sides or just multiply one of the sides by four. 
8 x 4= 32ft
Answer: 32ft
The amount of feet needed to enclose the pen is the perimeter of the pen.The pen has the format of a square, which means that we have to find the perimeter of a square.We find the side of the square from the area, and with this, it is possible to find the perimeter.

Doing this, we get that 32 feet are needed.

Square:

The area of a square of side s is:

[tex]A = s^2[/tex]

And the perimeter is:

[tex]P = 4s[/tex]

Area of 64 square feet

This means that:

[tex]s^2 = 64[/tex]

[tex]s = \sqrt{64}[/tex]

[tex]s = 8[/tex]

The side of the square is of 8 feet.

Perimeter:

Side of 8 feet, so:

[tex]P = 4s = 4(8) = 32[/tex]

32 feet of chain fence are needed.

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At 1:00 p.m. a car leaves st. louis for chicago, traveling at a constant speed of 65 miles per hour. at 2:00 p.m. a truck leaves chicago for st. louis, traveling at a constant speed of 55 miles per hour. if it is a 305-mile drive between st. louis and chicago, at what time will the car and truck pass each other?

Answers

To find out when the car and truck will pass each other, set up an equation where the sum of the distances covered by each at their respective speeds equals 305 miles. After solving, it's determined they will pass each other at 4:00 p.m.

To determine at what time the car and truck will pass each other, we need to calculate how far each vehicle will have traveled before they meet. The car leaves St. Louis at 1:00 p.m., while the truck leaves Chicago at 2:00 p.m., one hour later. We assume they meet after the car has been traveling for t hours and the truck for t - 1 hours.

The distance the car travels is the product of its speed and time, which can be calculated as 65 miles per hour times t hours. The truck's distance is 55 miles per hour times (t - 1) hours. Since the total distance between St. Louis and Chicago is 305 miles, we combine these distances to form the equation:

65t + 55(t - 1) = 305

Solving this equation:

65t + 55t - 55 = 305120t - 55 = 305120t = 305 + 55120t = 360t = 360 / 120t = 3 hours

Since the car has been traveling for 3 hours after 1:00 p.m., the two vehicles will pass each other at 4:00 p.m.

Find all solutions to the equation. (sin x)(cos x) = 0

Answers

hello : 
 (sin x)(cos x) = 0
sinx = 0  or cosx= 0 
all solutions in : R
1) sinx= 0  : x = kπ......  k∈ Z
2) cosx= 0 : x= π/2 + kπ ....k∈ Z

To solve the equation (sin x)(cos x) = 0, we find that sin x equals zero when x is an integral multiple of π , while cos x equals zero at odd multiples of π/2 . Therefore, our solutions are x = nπ and x = (2n + 1)π/2 for any integer n.

To find all solutions to the equation (sin x)(cos x) = 0, we need to identify the values of x at which either sin x = 0 or cos x = 0, because if either factor on the left-hand side is zero, the product will be zero.

For sin x = 0, the solutions are where x is an integral multiple of π . This can be written as x = nπ, where n is any integer (..., -3, -2, -1, 0, 1, 2, 3, ...).

For cos x = 0, the solutions occur at odd multiples of π/2. Therefore, the solutions can be represented as x = (2n + 1)π/2, where n is any integer.

Combining both sets of solutions, we have x = nπ and x = (2n + 1)π/2, for n being any integer.

which decimal is closest in value to the fraction below 1/9 ?
a) 0.111
b) .33333
c) 0.7

Answers

1/9=0.11111.....
so the correct option is (a).
Hello. 

[tex]1.9 = 0.111...[/tex]
It is a repeating decimal. Thus, your answer is A) 0.111


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Hey 5ever can u solve dis please.

Factor:
(3x+5xy)^2

Answers

To factor you simply put the part in parenthesis twice:
(3x+5xy)(3x+5xy)
If you were to work this out, you would get:
25 x^2 y^2 + 30 x^2 y + 9 x^2

The probability of winning on a split bet in a specific game of roulette is 1 19. Find the actual odds in favor of winning on the bet.

Answers

Probability is the chance, likeliness or odds of an event occurring. It can be determined using statistics from sample data. Basically, probability is a part of a whole. It is always expressed in terms of fractions or percentages.

With that being said, I think the probability given in your problem is 1/19.  This means that in every 19 bets, you have a chance to win once. If the probability of winning the roulette is 1/19, that means that you have a 1/19 or 5.3% chance of winning. Therefore, the actual odds of winning the roulette is also 1/19.

The answer is 1:18. I just took the statistics quiz and got it wrong due to the other person.

On a multiple choice test with 13 questions, each question has four possible answers, one of which is correct. for students who guess at all answers, find the standard deviation for the number of correct answers.

Answers

Given:
n = 13, the number of questions
p = 1/4, probability of guessing a correct answer among 4 choices.
q = 3/4, probability of guessing an incorrect answer (q = 1 -p).

The problem is modeled by a binomial distribution.
The mean value is μ = np.
The standard deviation is √(npq).

For the given problem, the standard deviation is
√(13*(1/4)*(3/4)) = 1.561

Answer: 1.56 (nearest hunderdth)

Circle A and circle B are congruent. CD is a chord of both circles. If AB = 8 ft and CD = 6 ft, how long is a radius?

Answers

Let us say that the intersection point of lines AB and CD is called point E. The lines AB and CD are perpendicular to each other which also means that the triangle CEB is a right triangle.

Where the line CB is the radius of the circle while the side lengths are half of the whole line segment:

EB = 0.5 AB = 0.5 (8 ft) = 4 ft

CE = 0.5 CD = 0.5 (6 ft) = 3 ft

Now using the hypotenuse formula since the triangle is right triangle, we can find for the radius or line CB:

CB^2 = EB^2 + CE^2

CB^2 = (4 ft)^2 + (3 ft)^2

CB^2 = 16 ft^2 + 9 ft^2

CB^2 = 25 ft^2

CB = 5 ft = radius

Answer:

5ft

Step-by-step explanation:

what is the coefficient of x^2y^3 in the expansion of (2x+y)^5

Answers

Answer:

The coefficient of x²y³ is 40.

Step-by-step explanation:

The binomial expansion is defined as

[tex](a+b)^n=^nC_0a^n+^nC_1a^{n-1}b+...+^nC_ra^rb^{n-r}+....+^nC_nb^n[/tex]

The expression is

[tex](2x+y)^5[/tex]

Expand the binomial expansion.

[tex](2x+y)^5=^5C_0(2x)^5+^5C_1(2x)^{4}(y)+^5C_2(2x)^{3}(y)^2+^5C_3(2x)^{2}(y)^3+^5C_4(2x)^{1}(y)^4+^5C_5(y)^5[/tex]

Combination formula:

[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

[tex](2x+y)^5=32 x^5 + 80 x^4 y + 80 x^3 y^2 + 40 x^2 y^3 + 10 x y^4 + y^5[/tex]

Therefore the coefficient of x²y³ is 40.

Answer:40

Step-by-step explanation:

algebra 2 test

In your lease agreement you are allowed 25000 km per year for free. After that you are charged $0.08 per km. After yoir 5 year term, you drove a total of 140000 km. How much do you owe?

Answers

U would owe $1,200. If u need me to explain how I got that please let me know

After 5 year term, the distance covered is 140000 km, the charge paid is, $1200

What is multiplication?

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the components that are multiplied are referred to as the factors.

Given that,

In lease agreement, the distance allowed 25000 km per year for free

After that the charge will be $0.08 per km

After 5 year term, you drove a total of 140000 km

The owed amount  = ?

So, in 5 year term the distance which is free according to agreement,

⇒   5 × 25000

⇒    125000

Now, the distance for which charge has given

⇒   140000 - 125000

⇒   15000

Charged amount = $0.08 per km

The owed amount  =  0.08 × 15000

                                =   $1200

Hence, the amount owed is $1200

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Solve for x.5(x – 10) = 30 – 15x

Answers

[tex]5(x-10)=30-15x [/tex]
[tex]5x-50=30-15x [/tex]
[tex]20x=30+50 [/tex]
[tex]x=4.[/tex]

Answer:

x=4

Step-by-step explanation:

The area of a parallelogram is modeled by the formula, A = lw. Solve the equation for w.
A. w=Al
B. w=I/A
C. w=A/I
D. w=2AI

Answers

Hello there! Thank you for asking your question here at Brainly! I will be assisting you with answering this question today, and will teach you how to handle it on your own in the future.

First, let's look at our problem.
"A = L * W, solve for W."

This is basic algebra, but I will teach you how to tackle this problem, so you can do it on your own.

So, we have the following equation:
A = L * W
To solve for W, we need to get it alone on one side of the equation. Currently, it is not alone, but rather is being multiplied by L.
To isolate W, we need to perform the opposite order of operations on both sides of the equation.

A = L * W
Divide both sides by L to isolate and solve for W.

W = [tex] \frac{A}{L} [/tex] is our solution.

The following equation matches the answer choice "C".

Your answer is "C."

I hope this helps!

Answer:

.C

Step-by-step explanation:

A color printer prints 31 pages in 12 minutes. how many minutes does it take per page?

Answers

12/31 = 0.38 minutes per page

Given f(x) = x2 + x − 2 and g(x) = 2x − 4, identify (f + g)(x).

Answers

x^2 + x - 2 + 2x - 4....combine like terms
x^2 + 3x - 6 <=
(f+g)(x)=
f(x)+g(x)=
(x²+x-2)+(2x-4)=
x²+x-2+2x-4=
x²+x+2x-2-4=
x²+3x-6

2nd option

Let f(x)=√7x and g(x)=x+8, whats the smallest number that is the domain of f^o g?

Answers

(f○g)(x)=√(7(x+8))

(f○g)(x)=√(7x+56)

Since there is no real square root of a negative value, the smallest value in the domain would make the radicand equal to zero.  x=-8 is the smallest number in the domain of (f○g)(x)

Final answer:

The smallest number in the domain of the composite function f^o g,  is -8.

Explanation:

To find the smallest number that is in the domain of the composite function fo g, we need to consider the domains of the individual functions f(x) and g(x). First, since f(x) = √7x, f is only defined for x ≥ 0, as the square root function requires non-negative input. Secondly, g(x) = x+8 is defined for all real numbers, as it's a linear function.

However, the composite function f(g(x)) will also require that the output of g(x) be non-negative, because this output becomes the input for f(x). Thus, we need to find the smallest x such that g(x) is non-negative, which occurs when x+8 ≥ 0. Solving for x gives us x ≥ -8.

Hence, the smallest x in the domain of fo g is -8.

Create a set of numbers where:

the mode is equal to 10

the median is equal to 12

the average is 12

Answers

To create a set of number with the specified characteristics, we need to understand what those values would mean. First, we have the mode. The mode is the number which would appear often in the data set. For the set (1, 1, 3), the mode would be 1. The median is the value of the center position when the numbers are arranged in increasing order. For the same set, the median would be 1. The average would be a calculated central value of the data set. It is also known as the mean. It is calculated by adding all the data in the set then dividing it to the number of data in the set. For the same example, the average would be 1+1+3 / 3 = 5/3. 

Given:
mode = 10
median = 12
average = 12

The possible set would be:

(10,10,12,13,15)
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