Which is a better deal: A can of 3 tennis balls for $3 or a box of 10 balls for $9?

The cost of 35 pounds of oolong tea is $84.

An equation is used to show the relationship between two or more variables or numbers.

Given that oolong tea sells for $2.40 per pound.

There are 35 pounds of oolong tea available. Hence:

Cost of 35 pounds of oolong tea = $2.40 per pound * 35 pound

Cost = $84

Hence, the cost of 35 pounds of oolong tea is $84.

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Answer:

35 LB (THIS IS ACTUALLY CORRECT)

Step-by-step explanation:

First, you lay it down like this:

Since you're selling 35 pounds of oolong tea that sells for $2.40, you multiply both

2.4*35

=84

However, since you don't know how many pounds of black tea, you use x

Multiply like above

1.8*x

=1.8x

The total mixture is selling for $2.10

Total pounds: 35 + x (given above, or black + oolong tea

equation:

84 + 1.8x = 2.1(35+x)

84 + 1.8x = 73.5 + 2.1x (distributive property)

    - 1.8x             - 1.8x

84 + 0 = 73.5 + 0.3x

-73.5             -73.5

10.5 = 0.3x

3.5 = 0.1x

35 = x

Answer:  (1/4)w - 1

Step-by-step explanation:

[(1/2)w + 3] - [(1/4)w + 4]

[(1/2)w - (1/4)w] + [3 - 4]

(1/4)w - 1

Answer:

109.50

Step-by-step explanation:

cost of membership + individual visit price

49.50+ 12*5          (cost of membership plus amount of visits * ticket price)

109.50

Answer:

The required equation is:

Step-by-step explanation:

I think that's the answer

The linear function rule to model the distance in feet 'd' that the car has traveled any number of seconds 't' after passing the timing device. can be represented as d = f(t) = 117t

A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables but does not have exponents to the variables or the exponent of the variable is 1.

Given that car is moving at a constant speed.

Distance travelled by car = 936 feet

Time taken to travel the distance = 8 seconds

Speed = Distance / Time

           = 936 / 8

           = 117 feet per second

So the car will be moving at a speed of 117 feet per second at any time t.

Distance of car at any time is,

Distance = Speed × Time

d = 117 × t

d = f(t) = 117t

Hence the linear function which models the relationship between d and t is d = f(t) = 117t.

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I don't know the answer to this question but I thought I learned algebra so my friend asked me what y=mx+b was and I said it was a curved line. am i correct?

Step-by-step explanation:

an = 2n^2 - 3 · Anonymous. -1, 5, 15, 29, 47, ... an = 2 n^2 - 3.

The required nth term will be 2n² - 3 in the given quadratic sequence.

Sequences are defined as an arrangement of numbers that is in a particular order.

The first 5 terms of a quadratic sequence are following as:

-1, 5, 15, 29, 47,

We have to determine the nth term of the given sequence.

As per the given question, we have

-1, 5, 15, 29, 47,

We can rewrite the above numbers in the sequence as

first term = -1 = 2(1)²-3,

second term = 5 = 2(2)²-3,

3d term = 15 = 2(3)²-3,

4th term = 29 = 2(4)²-3,

5th term = 47 = 2(5)²-3

Similarly, nth term = 2n² - 3

Therefore, the required nth term will be 2n² - 3 in the given quadratic sequence.

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Answer:

C:   H > 60

Step-by-step explanation:

H is 60 in or taller, underlined indicates that it's also 60 in, not just above it.

Answer:

-3 and 5

Step-by-step explanation:

-3*5=-15

-3+5=2

Answer:

-3 and 5

Step-by-step explanation:

-3×5 I'd -15

also -3+5 is 2

Based on the markdowns and the number of each of the plants purchased, the amount saved is $9.06

Potted Begonias cost $6.57 when discounted by 27%. Their cost must be:

Discounted cost = Original cost x (1 - Discount)

6.57 = Original x (1 - 27%)

Original = 6.57 / 0.73

Original = $9.00

The savings here are therefore:

= 2 x (9 - 6.57)

= $4.86

The original cost of the Tomato seedlings is:

= 2.60 / ( 1 - 35%)

= $4.00

Savings would be:

= 3 x (4 - 2.60)

= $4.20

Total savings are therefore:

= 4.86 + 4.20

= $9.06

In conclusion, $9.06 was saved.

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Answer:

(x^2-2)(x+3)

Step-by-step explanation:

x^3 + 3x^2 - 2x - 6

x^2(x+3)-2(x+3)

(x^2-2)(x+3)

Answer:

y = x² - 9x + 26

hope to help!!

Step-by-step explanation:

h(x) = 4x - 1

given,

h(x) = -9

now,

h(-9) = 4(-9) - 1

→ -36 - 1

→ -37

hope this answer helps you dear, take care!

Answer:

x = - 2

Step-by-step explanation:

Given h(x) = 4x - 1 and h(x) = - 9, then equating right sides gives

4x - 1 = - 9 ( add 1 to both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

Answer:

Graph attached

Step-by-step explanation:

Answer: 55% of 180, 12% of 700, and 30% of 260.

Step-by-step explanation:

55% of 180 = 99…

30% of 260 = 78…

and 12% 700 = 84…

Answer:

55% of 180 > 12% of 700 > 30% of 260

Step-by-step explanation:

55% of 180 = 99

30% of 260 = 78

12% of 700 = 84

The median of the data 0, 0, 1, 1, 1, 2, 2, 2, 4, 4 is 1.5

There are three measures of central dispersion:

Given:

0, 0, 1, 1, 1, 2, 2, 2, 4, 4

The are 10 values in the data

So, we have two middle values: 1 and 2

Median = (1 + 2) / 2

= 3/2

= 1.5

Therefore, the median of the data 0, 0, 1, 1, 1, 2, 2, 2, 4, 4 is 1.5

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Answer:

= 1.5

Step-by-step explanation:

Answer:

27 students received an A

Step-by-step explanation:

90% of 150 is 135

1/5 of 135 is 27

Answer:

A multiplicative inverse or reciprocal for a number x, is denoted by 1/x or x‾¹.

So, the answer to your question is B.  a × (1/a) = 1.

Hope this helps!! :)

Answer: ty

Step-by-step explanation:

Answer:

Step-by-step explanation:

Nonlinear, because the slope is not constant - it keeps changing.

Slope between (1,1) and (1,2) is (1/1) or 1

Slope between (2,4) and (16,3) is:

            Rise = (3-4) = -1

            Run = (16-2) = 14

            Slope = 14/-1 or -14

Definitely not linear.  The slope changes dramatically very quickly.  A straight line would disapprove.

Answer:

f(x+2)=3x+5

Step-by-step explanation: hope this helps, love. have a good day

Answer:

b= -3

b=3/2=1.500

Step-by-step explanation:

step 1 . b • (2b + 3) -  9  = 0

Step-2 : Find two factors of  -18  whose sum equals the coefficient of the middle term, which is   3 .

     -18    +    1    =    -17  

     -9    +    2    =    -7  

     -6    +    3    =    -3  

     -3    +    6    =    3

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  6  

                    2b2 - 3b + 6b - 9

Step-4 : Add up the first 2 terms, pulling out like factors :

                   b • (2b-3)

             Add up the last 2 terms, pulling out common factors :

                   3 • (2b-3)

Step-5 : Add up the four terms of step 4 :

                   (b+3)  •  (2b-3)

Answer:

They are not diffrent at all. may look diffrent from the question but lets look a little closer!

Step-by-step explanation:

2-3=1 and 3-2=1 both answers look the same because the equion is Both 3s in 3-2 and 2-3 looks no diffrent.  To be honest one is only backwords from the other one! But remeber to think BIG and look at those diffrentses.

Answer:

-6

Step-by-step explanation:

-2(-12 - u )

u = -15

-2 ( -12 - (-15))

remove parenthesis.

-2 ( -12 + 15 )

add -12 and 15

-2 ( 3 )

multiply -2 and 3

= -6

Step-by-step explanation:

-2(-12 - u) = -2(-12 + 15) = -2(3) = -6

Answer:

Functions: Second Graph

The other two are not. Use the vertical line test. I'm pretty sure but not 100%

Step-by-step explanation:

#1

Current temperature=0°C

Temperature before 1 hour

[tex]\\ \sf{:}\dashrightarrow 0+3°C=3°C[/tex]

#2

Temperature before 3h

[tex]\\ \sf{:}\dashrightarrow 0+3(3)=0+9=9°C[/tex]

#3

Temperature before 4.5h

[tex]\\ \sf{:}\dashrightarrow 0+4.5(3)=13.5°C[/tex]

Since these are one-step equations we only have one step.

To solve, these single steps will include the following:

[1] addition (+)

[1] subtraction (-)

[2] division (/ or ÷)

[2] multiplication (* or x)

How do we answer these? We do the opposite of what is shown. If we have addition in 4 + x = 6, we will use subtraction to solve. The numbers one (1) and two (2) above show the "sets"  of which we use.

[] 3x = -12

     -> -4

We have multiplication so we will divide -12 by 3 for an answer of -4

[] 14x = 280

     -> 20

We have multiplication so we will divide 280 by 14 for an answer of 20

[] x + 6 = -5

     -> -11

We have addition so we will subtract 6 from -5 for an answer of -11

[] x + 27 = 125

     -> 98

We have addition so we will subtract 27 from 125 for an answer of 98

[] x - 324 = 760

     -> 1,084

We have subtraction so we will add 324 to 760 for an answer of 1,084

[] x - 43 = 35

     -> 78

We have subtraction so we will add 43 to 35 for an answer of 78

[] x/6 = -24

     -> -144

We have division so we will multiply 6 by -24 for an answer of -144

[] x/13=214

     -> 2,782

We have division so we will multiply 13 by 214 for an answer of 2,782

[] 26 - x = 47

     -> -21

We have subtraction so we will add x to both sides to reach the equation 26 = 47 + x

Then, we have addition so we will subtract 47 from 26 to get an answer of -21

[] -x/3=-998

     -> 2,994

First, we will move the negative to the bottom of the fraction, which looks like this: [tex]\frac{-x}{3} = \frac{x}{-3}[/tex]

Then, we have division so we will multiply -3 by -998 for an answer of 2,994

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

y = 4 (x + 1)² - 16

Step-by-step explanation:

Step 1: Equation at the end of step 1

(2²x²+8x)-12

Step 2:

Step 3: Pulling out like terms

Pull out like factors :

4x² + 8x - 12  =   4 • (x² + 2x - 3)

Trying to factor by splitting the middle term

Factoring  x²+ 2x - 3

The first term is,  x²

its coefficient is  1 .

The middle term is,  +2x  its coefficient is  2 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -3 = -3  

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   2 .

   -3    +    1    =    -2  

     -1    +    3    =    2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  3

x² - 1x + 3x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-1)

             Add up the last 2 terms, pulling out common factors :

                   3 • (x-1)

Step-5 : Add up the four terms of step 4 :

                   (x+3)  •  (x-1)

            Which is the desired factorization

Final result :

Final result :

 4 • (x + 3) • (x - 1)

Now convert to vertex form:

y = 4 (x + 1)² - 16