Alejandro bought 6 notebooks and 2 binders for $23.52. Cassie bought 3 notebooks and 4 binders for $25.53. What was the cost, in dollars, of 1 notebook?​

Answers

Answer 1

Answer:

1 notebook $2.39

Step-by-step explanation:

n=notebook     b= binder

6n +2b =23.52

3n +4b = 25.53

MULTIPLY THE FIRST BY -2 AND ADD BOTH

-12n -4b = -47.04

3n + 4b = 25.53

(b is eliminated since 4b -4b=0)

-9n =  -21.51

9n = 21.51

n = 2.39


Related Questions

Dan and Lisa each improved their yards by planting daylilies and ivies. They bought their supplies from the same store. Dan spent $78 on 6 daylilies and 8 pots of ivies. Lisa spent $123 on 9 daylilies and 13 pots of ivies. What is the cost of one daylily? What is the cost of one pot of ivies?

Answers

Answer:

Cost of daylillies = $5

Cost of pot = $6

Step-by-step explanation:

Let

Cost of daylillies = x

Cost of pot = y

6x + 8y = 78 (1)

9x + 13y = 123 (2)

Multiply (1) by 9 and (2) by 6 to eliminate x

54x + 72y = 702 (3)

54x + 78y = 738 (4)

Subtract (3) from (4)

78y - 72y = 738 - 702

6y = 36

y = 36/6

y = 6

Substitute y = 6 into (1)

6x + 8y = 78 (1)

6x + 8(6) = 78

6x + 48 = 78

6x = 78 - 48

6x = 30

x = 30/6

x = 5

Cost of daylillies = $5

Cost of pot = $6

Isn't the answer D? I will appreciate it if someone helps :)

Answers

i think it is:) sorry if it is not

Answer:

I think it's correct, I agree :)

Find the unit rate.Round to the nearest hundredth,if necessary. 2.99 for 16 lb I REALLY NEED HELP !!!

Answers

9514 1404 393

Answer:

  0.19/lb

Step-by-step explanation:

When computing cost per quantity, the cost is divided by the quantity.

  2.99/(16 lb) = 0.186875/lb ≈ 0.19/lb

Answer:

heyy it's me again lol but  The unit rate is $0.19/lb.

Step-by-step explanation:

Divide the total by the number of pounds to get the price per pound, or the unit rate.

$2.99 ÷ 16 lb = 0.186875

Since 0.186875 isn't an accurate US dollar amount, round  to nearest hundredth, 0.19.

so you answer is $0.19/Ib

God bless you!

Sophia invested $79,000 in an account paying an interest rate of 6.8% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest year, for the value of the account to reach $152,800?

Answers

Answer:

10

Step-by-step explanation:

The value of the account will reach $152,800 in 10 years.

What is Compound Interest?

Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.

Interest compounded continuously means there is no limit for the process of compound of interest. It is compounding infinite times.

The formula for calculating the final amount when the interest is compounded continuously is,

A = P e^(r t)

Here, A is the final amount, P is the initial or principal amount, r is the rate of interest and t is the number of years.

Given that,

A = $152,800

P = $79,000

r = 6.8% = 6.8/100 = 0.068

We have to calculate t.

152,800 = 79,000 e^(0.068 t)

152,800 / 79000 = e^(0.068 t)

1.934 = e^(0.068 t)

Taking logarithms on both sides,

㏑ 1.934 = ㏑ e^(0.068 t)

We have ㏑(a)ⁿ = n ㏑(a)

0.65968 = 0.068t ㏑ e

0.65968 = 0.068 t × 1

t = 9.7 ≈ 10 years

Hence the amount is compounded to $152,800 in 10 years.

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the volume in cm squared of a cube of edge 2cm is​

Answers

Answer:

volume = 2 x 2 x 2 = 8 cm²

Step-by-step explanation:

what it the gcf (greatest common factor) of 48 and 96?

Answers

Answer:

8

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

The factors of 48 are 1,2,3,4,6,8,12,16,24,48;

The factors of 96 are 1,2,3,4,6,8,12,16,24,32,48,96

Write an equation of the line in point slope form

(2, 4) and (3,6)​

Answers

Answer:

(y – 4) = 2(x – 2)

Step-by-step explanation:

point slope: y – y₁ = m ( x - x₁ ).

slope: m = ∆y / ∆x.

_______________

m = ∆y / ∆x = [ 6 – 4 / 3 – 2 ] = [ 2 / 1 ]

= 2

____________________________

(2, 4) → (x₁, y₁).

2 → m.

y – y₁ = m(x – x₁) → y – 4 = 2(x – 2).

Answer:

y-4=2(x-2)

Step-by-step explanation:

7. Given the systems below, state how many solutions there are. YOU MUST GIVE A
REASON

Answers

In a there will be 1 solution as 7x and 5x + 2 is the same and in b there will be 2 solutions as they both are 2 different questions hope this helped

A child standing on a river bank ten feet above the river throws a toward the river at a speed of 12 feet per second . How long does it take before the rock splashes into the river ? Use the equation h=-16t^ 2 +vt+s

PLEASESE HELP

Answers

sure just give me head

what is c - b for six grade math

Answers

Answer:

specify?

Step-by-step explanation:

give us a image

how would you move the green shape exactly over the gray shape using the fewest moves? check only necessary moves

Answers

Answer:

turn and rotate

Step-by-step explanation:

Answer:

Flip then slide

Step-by-step explanation:

I think if you flip the shape it will go the direction of the blue shape then you just need to slide it

pls explain this to me

Answers

Answer:

Step-by-step explanation:

there are two polygons each the same.The perimeter of the smaller polygon is 66 feet and the ratio of the corresponding side lengths are 3/4 the size of the 66feet. find the perimeter of the other polygon remember they are the same.

By how much is -23 less than 23?​

Answers

Answer:

46

Hope it helps

Please mark me as the brainliest

Thank you

46! I hope you have a great day :)

I need it fast
Find the value​

Answers

Answer:

a)7

b)x=6

Step-by-step explanation:

Answer:

z = 4, x = 6

Step-by-step explanation:

(a)

[tex]\frac{5z+1}{3}[/tex] = 7 ( multiply both sides by 3 to clear the fraction )

5z + 1 = 21 ( subtract 1 from both sides )

5z = 20 ( divide both sides by 5 )

z = 4

(b)

[tex]\frac{5x}{3}[/tex] + 3 = x + 7 ( multiply through by 3 to clear the fraction )

5x + 9 = 3x + 21 ( subtract 3x from both sides )

2x + 9 = 21 ( subtract 9 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Function in graphing vertex form

Answers

Answer:

whats the questiong tho

Step-by-step explanation:

help me with this too please

Answers

Answer:

this is a test but its he second one :D

Step-by-step explanation:

helllllllllllllllppppppppppppp WILL MARKBRIANLIST

Answers

Answer:

4(25) + 6(-5) -2 = 100 - 30 -2 = 70 - 2= 68

please help me i need to turn this in rn ​

Answers

Answer:

Step-by-step explanation:

2x6yz

y> 3x-2
Graph the solution

Answers

Answer:

4 es esa ????k nose

If the area of a rectangle is

(15x^2 - 16x - 15) square feet,

and its length is (3x - 5) feet,

find its width.

Answers

Answer:

Width = 5x +3

Step-by-step explanation:

15x² - 16x - 15  =  15x² - 25x +  9x  - 3 *5

                       = 5x(3x - 5) + 3(3x - 5)

                      = (3x - 5)(5x + 3)    

Width = [tex]\frac{Area}{length}[/tex]

          [tex]= \frac{15x^{2}-16x - 15}{(3x-5)}\\\\=\frac{(3x-5)(5x+3))}{(3x-5)}\\\\=5x + 3[/tex]

What is an anticodon?

Answers

An anticodon is a sequence of 3 nucleotides which form a unit of genetic code in a transferred RNA molecule and corresponds to a complementary codon in a messenger RNA.
An anticodon is a trinucleotide sequence complementary to that of a corresponding codon in a messenger RNA (mRNA) sequence. An anticodon is found at one end of a transfer RNA (tRNA) molecule.

Which of the following would be considered a "like radical" for 2/3?

Answers

Here is the answer, numerator goes on the outside of the radical and denominator before the radical

Freedom PopFreedom PopFreedomFreedom Pop Pop they right?

Answers

Answer:

D

B

Step-by-step explanation:

1. x² - 5x = 14

x² -5x -14 = 0

x² +2x -7x -14 = 0

x(x + 2) -7(x + 2) = 0

x - 7 or x + 2 = 0

x = 7 or x = -2

2. y² + 6y + 9 = 49

y² + 6y +9 -49 = 0

y² +6y -40 = 0

y² +10y -4y -40 = 0

y(y + 10) -4(y + 10) = 0

y -4 or y + 10 = 0

y = 4 or y = -10

What is an equation of the line that passes through the point (-1,-3)(−1,−3) and is parallel to the line 6x-y=16x−y=1?

Answers

Answer:

x = -1

Step-by-step explanation:

[tex]6x - y = 16x - y - 1\\-10x = -1\\x = 1/10[/tex]

Since this is the equation of a vertical line, that means that the new one will also just be in the form x = ?.

Since the x - value is -1, the equation is x = -1

The price of a phone was $480. After two months of its release, there is a price decrease of 28%. Which of the following expression gives the difference in the prices of the phone before and after the two months?
$16(28%)
$16(72%)
$16(172%)
$16(128%)

Answers

Answer:

???

Step-by-step explanation:

Tell whether the ordered pair is a solution of the inequality.
-6x + 4y = 6; (-3, -3)
O Yes, it is a solution
No, it is not a solution

Answers

You have to insert -3 and -3 for x and y, so
-6(-3)+4(-3)=6
18-12=6
Yes, it is a solution.

Help please
-6 + 2/5c = 24

Answers

Answer:

c = 75

Step-by-step explanation:

Add 6 to both sides: 2/5c = 30

Divide both sides by 2/5 (or multiply by reciprocal of 5/2): c = 150/2

c = 75

answer this math question. ill give brainliest.

Answers

Answer: He OLD! XD

.

.

.

.

Aria has a points card for a movie theater. She receives 85 rewards points just for signing up. She earns 12.5 points for each visit to the movie theater. She needs 185 points for a free movie ticket. How many visits must Aria make to earn a free movie ticket?

Answers

Answer:

8 visits

Step-by-step explanation:

Create an equation, where x is the number of visits to the theater.

Since she gets 12.5 points for each visit, the number of points from visits will be represented by 12.5x.

85 will be added to this, since she gets 85 points for signing up. Then, this will be set equal to 185, since she needs 185 points for the free ticket.

12.5x + 85 = 185

Solve for x:

12.5x = 100

x = 8

So, Aria needs to make 8 visits to earn a free movie ticket

Aria must make 8 visits to earn a free movie ticket when She needs 185 points for a free movie ticket.

By given she has  85 rewards points just for signing up.

She earns 12.5 points for each visit to the movie theater.

She needs 185 points for a free movie ticket.

We must find how many visits does aria has to make to earn a free movie ticket

What is equation?

If two expressions with equal sign is called as equation.

Let  x is the number of visits to the theater.

Since she gets 12.5 points for each visit, the number of points from visits will be represented by 12.5x.

85 will be added to this, since she gets 85 points for signing up. Then, this will be set equal to 185, since she needs 185 points for the free ticket.

12.5x + 85 = 185

12.5x = 100

x = 8

So, Aria needs to make 8 visits to earn a free movie ticket

To learn more about solving equation click here:https://brainly.com/question/19297665

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HELP PLEASE!! Alita is 2 times as old as Jiro. Jiro is 4 years younger than Erik. Erik is 1/3 as old as dawn. The sum of all their ages is 72 What equation could you write to represent this situtation????

Answers

Step-by-step explanation:

72= (e= 1/3d ) + (j= e-4) + (a= 2j)

or

1/3d - 4 × 2 =72

let d = dawn

let e = erik

let j = jiro

let a = alita

remember that a number next to a variable means multiplication.

The equation could  write to represent this situation is

72= (e= 1/3d ) + (j= e-4) + (a= 2j)

What is equation?

An equation can be defined as a statement that supports the equality of two expressions joined by the equal sign "=". For example, 2x – 5 = 13.  These are the expressions  2x – 5 and 13.The sign connecting these two expressions is "=".

In algebra, an equation is a condition of a variable. It will be filled only with the value specified by the variable. This means that the equation 2x – 5 = 13 is satisfied only when x = 9.

Equations are different, for example:

Linear equations Quadratic equations Cubic equations Quartic equations Differential equations Parametric equations

Let us suppose ,

age of Erik is e

dawn is d

Jiro is j

Alita is a

The equation could write to represent this situation is

72= (e= 1/3d ) + (j= e-4) + (a= 2j)

To learn more about equation, refer;

https://brainly.com/question/10413253

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