Aspirin is sold in boxes of 24 for $3.69, 50 for $5.49, 100 for $8.29, and 150 for $11.99. Which box has the best unit rate.

Answer:

x<8

Step-by-step explanation:

2x+5>3x-3

2x+8>3x

8>x

Answer:

n < 8

Step-by-step explanation:

Let n represent the unknown number.  Then:

2n + 5 > 3n - 3

Collecting like terms:

8 > n or n < 8

Answer:

NaNx10^-23

Step-by-step explanation:

Answer:

y = 8       x= -16

Step-by-step explanation:

4x+26x = -6y =14

30x = 14

-6y = 14     x = 14- 30

y+= 14-6  

y = 8       x= -16

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

[tex]\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]

[tex]\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{4+a}{2}=\dfrac{-1}{2}[/tex]

[tex]4+a=-1[/tex]

[tex]a=-1-4[/tex]

[tex]a=-5[/tex]

And,

[tex]\dfrac{5+b}{2}=\dfrac{3}{2}[/tex]

[tex]5+b=3[/tex]

[tex]b=3-5[/tex]

[tex]b=-2[/tex]

Therefore, the coordinates of fourth vertex are (-5,-2).

Answer:

[tex] - 2[/tex]

Step-by-step explanation:

2^2×2^3(x+1)=2^2x

same base cancel,you will get

2+3x+3=2x

take same variable then - or + you will get

[tex]x = - 2[/tex]

Answer:

x=-5

Step-by-step explanation:

Answer:369

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

The sum of an A.P. is given by:

[tex]\displaystyle S_n=\frac{n}{2}(a+x_n)[/tex]

Where n is the number of terms, a is the initial term, and xₙ is the last term.

Therefore:

[tex]\displaystyle S_{30}=\frac{30}{2}\Big(a+x_{30}\Big)=15(a+x_{30})[/tex]

And likewise:

[tex]\displaystyle S_{20}=\frac{20}{2}\Big(a+x_{20}\Big)=10(a+x_{20})\\\\ S_{10}=\frac{10}{2}\Big(a+x_{10}\Big)=5(a+x_{10})[/tex]

Substitute:

[tex]15(a + x_{30}) = 3(10 (a + x_{20}) - 5(a + x_{10} ))[/tex]

Distribute:

[tex]15a+15x_{30}=30a+30x_{20}-15a-15x_{10}[/tex]

Simplify:

[tex]15x_{30}=30x_{20}-15x_{10}[/tex]

Simplify:

[tex]x_{30}=2x_{20}-x_{10}[/tex]

The nth term for an A.P. is:

[tex]x_n=a+d(n-1)[/tex]

Where a is the initial term and d is the common difference.

So, it follows that:

[tex]x_{30}=a+d(30-1)=29d+a\\ x_{20}=a+d(20-1)=19d+a\\ x_{10}=a+d(10-1)=9d+a[/tex]

Therefore:

[tex]29d+a=2(19d+a)-9d-a[/tex]

Which follows that:

[tex]29d+a=38d+2a-9d-a\\ \\ 29d=29d \\\\ d\stackrel{\checkmark}{=}d[/tex]

QED.

Answer: The second answer to the question is 7.2 + 6.

Step-by-step explanation:

Answer: no solution

Step-by-step explanation: after simplifying they are parallel which means they have no solutions

Answer:

7Q ^12

Step-by-step explanation:

Porque se se suman la cuestione y porque solo me estás pagando con cinco puntos

Answer:

334

Step-by-step explanation:

[tex]\color{plum}\tt\bold{(a) \: 250}[/tex]

Money Jefferson needs to collect = $500

Selling price of each baked good = $2

Cost price of each baked good = 0.50

Number of baked goods Jefferson need to sell to meet his goal :

[tex] =\tt \frac{500}{2} \times 0.50[/tex]

[tex] =\tt 250 \times 0.50[/tex]

[tex]\color{plum} =\tt 125 \: baked \: goods[/tex]

Thus, Jefferson needs to sell 125 baked goods.

▪︎Therefore, the correct option is (a) 125.

Answer:

x = 7

Step-by-step explanation:

All sides are equal therefore its 7

Hope this helps!! ♥︎

x = 7

7 because the measurement of all side are congruent

Answer:

x²+y²=25

Step-by-step explanation:

(x-h)²+(y-k)²=r²

(x-0)²+(y-0)²=5

x²+y²=25

Answer:

y=x+1

Step-by-step explanation:

First find the slope by subtracting the y values from both points and dividing it by the subtraction of the x values from both points:

-4--2/ -3--1= -2/-2= 1

so the slope is 1

Now find the y-intercept by plugging in the x and y from one of the points into the equation y=x+b

-3=-4+b

1=b

now plug the slope and y intercept in:

y=x+1

hope this helps :D

Answer:

B

Step-by-step explanati

the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown.    C is talking about a hat and were talking abot a shirt.   so whats left.... B

Answer:

the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown.    C is talking about a hat and were talking abot a shirt.

Step-by-step explanation:

Answer:

-3.6 degrees

Step-by-step explanation:

Since we need to find the temperature that is 3 miles above ground we first need to multiply the distance above ground by the decrease in temperature per mile.

3 * 5.2 = 15.6

Now that we have the total decrease in temperature at that altitude we subtract it from the temperature at ground level. This gives us the final temperature at 3 miles above the ground.

12 - 15.6 = -3.6

Finally, we can see that the temperature is -3.6 degrees

Answer:

$25

Step-by-step explanation:

Answer:Ten dollars per hour

Step-by-step explanation:

50 hour =500 dollars

1 hour = ?

Using the criss cross method we multiply one hour by five hundred dollars and divide by fifty dollars.

?=(1 hour×500 dollars)/50 hour

?= 500 dollars/50

?=10 dollars per hour

Answer:

$10

Step-by-step explanation:

$500/50= 10

He needs to earn $10 an hour x the 50 hours = $500

Answer:

x=9

Step-by-step explanation:

Solve for x

(

x

+

2

3

x

)

−

1

3

(

x

+

2

3

x

)

=

10

Simplify

x

+

2

3

x

−

1

3

⋅

(

x

+

2

3

x

)

.

Tap for fewer steps...

Simplify each term.

Tap for more steps...

x

+

2

x

3

−

5

x

9

=

10

Find the common denominator.

Tap for more steps...

x

⋅

9

9

+

2

x

⋅

3

9

−

5

x

9

=

10

Combine fractions with similar denominators.

x

⋅

9

+

2

x

⋅

3

−

5

x

9

=

10

Subtract

5

x

from

x

⋅

9

.

Tap for more steps...

2

x

⋅

3

+

4

⋅

x

9

=

10

Multiply

3

by

2

.

6

x

+

4

⋅

x

9

=

10

Add

6

x

and

4

⋅

x

.

10

x

9

=

10

Multiply both sides of the equation by

9

10

.

9

10

⋅

10

x

9

=

9

10

⋅

10

Simplify both sides of the equation.

Tap for fewer steps...

Simplify

9

10

⋅

10

x

9

.

Tap for more steps...

x

=

9

10

⋅

10

Cancel the common factor of

10

.

Tap for fewer steps...

Cancel the common factor.

x

=

9

10

⋅

10

Rewrite the expression.

x

=

9

Answer:

x = 9

Step-by-step explanation:

Given

(x + [tex]\frac{2}{3}[/tex] x ) - [tex]\frac{1}{3}[/tex](x + [tex]\frac{2}{3}[/tex] x ) = 10 ← distribute parenthesis

x + [tex]\frac{2}{3}[/tex] x - [tex]\frac{1}{3}[/tex] x - [tex]\frac{2}{9}[/tex] x = 10

Multiply through by 9 ( the LCM of 3 and 9 ) to clear the fractions

9x + 6x - 3x - 2x = 90

10x = 90 ( divide both sides by 10 )

x = 9

Answer:

To eliminate the x-terms, multiply the second equation by 2.

To eliminate the y-terms, multiply the second equation by 3.

Step-by-step explanation:

The first step of solving by elimination requires that you eliminate either the x-terms or y-terms by making the two terms have the same coefficient, but opposite signs.  

So, if you wanted to eliminate the x-terms, you could multiply the second equation so that its x term has the same coefficient as the x-term in the first equation, but with opposite signs. The x-term in the first equation is 4x. The x-term in the second equation is -2x. They already have opposite signs, so we just need the -2x to become -4x. -4x divided by -2x is 2, thus you would multiply the second equation by 2.  

If you wanted to eliminate the y-terms, the process is the same. The y-term in the first equation is -9y and the y-term in the second equation is 3y. Again, they already have opposite signs, we just need 3y to become 9y. 9y divided by 3y is 3, thus you would multiply the second equation by 3.

Answer:

to eliminate x, u would multiply second equation by 2

to eliminate y, u would multiply second equation by 3

Step-by-step explanation:

Answer:

trice the number"s"

Step-by-step explanation:

is this   wht  u want ? like am i rght? if not pls delete my answer.

Answer:

Thrice a number

Three times the variable "s"

Step-by-step explanation:

Hope it helps!!!

Answer:

[tex]p = 25(3)^n[/tex]

Step-by-step explanation:

Given

Round 0 1 2 3

Points 25 75 225 675

Required

Determine the equation

Let n = rounds and p = points.

So, we have:

[tex](n_1,p_1) = (0,25)[/tex]

[tex](n_2,p_2) = (1,75)[/tex]

[tex](n_2,p_2) = (3,225)[/tex]

The above shows a geometric progression.

So, we solve using

[tex]p = ab^n[/tex]

In [tex](n_1,p_1) = (0,25)[/tex]

n = 0 and p = 25

Substitute these values in [tex]p = ab^n[/tex]

[tex]25 = ab^0[/tex]

[tex]25 = a*1[/tex]

[tex]25 = a[/tex]

[tex]a = 25[/tex]

In [tex](n_2,p_2) = (1,75)[/tex]

n = 1 and p = 75

Substitute these values in [tex]p = ab^n[/tex]

[tex]75 = ab^1[/tex]

[tex]75 = ab[/tex]

Substitute 25 for a

[tex]75 = 25*b[/tex]

Make b the subject

[tex]b = \frac{75}{25}[/tex]

[tex]b = 3[/tex]

So, we have:

[tex]a = 25[/tex] and [tex]b = 3[/tex]

The equation [tex]p = ab^n[/tex] becomes

[tex]p = 25(3)^n[/tex]

     Equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].

       There is a common ratio of 'r' in each successive term to the

       previous term.

       Therefore, it's a geometric sequence.

       [tex]T_n=ar^{n-1}[/tex] (For n ≥ 1)

       Here, [tex]a=[/tex] First term

       [tex]r=[/tex] Common ratio

       [tex]n=[/tex] nth term

Given in the table,

        [tex]r=\frac{75}{25}=3[/tex]

Explicit formula of the sequence will be,

[tex]P=25(3)^{n}[/tex] [For n ≥ 0]

       Therefore, equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].

Learn more about the geometric sequence here,

https://brainly.com/question/11385300?referrer=searchResults

Answer:

4 th quadrant

Step-by-step explanation:

olz make me brainliest

Answer:

The solution of the given equations

x = 3 and y =-2.5

Step-by-step explanation:

Step(i):-

  x - 2y = 8 ..(i)

3x = 19 +4y ..(ii)

By using substitution method

substituting  x = 2y +8 in equation (ii)

 ⇒  3( 2y +8) = 19 +4y

⇒   6y +24 = 19 +4y

⇒  6 y - 4y = 19 - 24

⇒   2 y = -5

   [tex]y = \frac{-5}{2} = -2.5[/tex]

Step(ii):-

Substitute 'y' = -2.5 in equation (i) , we get

         x - 2y = 8

   ⇒  x - 2( [tex]\frac{-5}{2}[/tex]) =8

  ⇒  x = 8 -5

      x = 3        

Final answer:-

The solution of the given equations

x = 3 and y =-2.5

Answer:71

Step-by-step explanation:1775/25

Answer:

71 bags

Step-by-step explanation:

Each bag: 20 pennies

Pennies count: 1775

Final Answer: 71 bags

Explain:

1775 / 25 = 71

Answer:

4x-5y=-10

Step-by-step explanation:

The standard form of a linear equation is Ax+By=CAx+By=C.

Multiply both sides by 55.

5y=5(45x+2)5y=5(45x+2)

Simplify 5(45x+2)5(45x+2).

Tap for more steps...

5y=4x+105y=4x+10

Rewrite the equation with the sides flipped.

4x+10=5y4x+10=5y

Move all terms containing variables to the left side of the equation.

4x−5y+10=04x-5y+10=0

Subtract 1010 from both sides of the equation.

4x−5y=−104x-5y=-10

Answer:

Step-by-step explanation:

25²-16²=369

369+x²=22²

x=10.72(correct to nearest tenth)

Answer:

x = 1/4

Step-by-step explanation:

Calculations:

[tex]7(x-3)+3(4-x)=-8[/tex]

[tex]7x-21+12-3x=-8[/tex]

[tex]4x-9=-8[/tex]

[tex]4x=1[/tex]

[tex]x=\frac{1}{4}[/tex]