Sienna is at the store buying pencils. There is a package with 8 pencils that
costs $12 or a package with 5 pencils that costs $8. Which package is the
better buy?
A. The $8 package, because each pencil costs $1.60.
O
B. The $8 package, because each pencil costs $0.63.
C. The $12 package, because each pencil costs $1.50.
O D. The $12 package, because each pencil costs $0.66.

Answer:

whats the given?? what you need I don't understand

Answer:

x = 5 Or x = \frac{5}{2}

2

5

Explanation:

Given \frac{x-1}{x-2}+\frac{x-3}{x-4}=\frac{10}{3}

x−2

x−1

+

x−4

x−3

=

3

10

\implies \frac{(x-1)(x-4)+(x-3)(x-2)}{(x-2)(x-4)}=\frac{10}{3}⟹

(x−2)(x−4)

(x−1)(x−4)+(x−3)(x−2)

=

3

10

\implies \frac{x^{2}-4x-x+4+x^{2}-2x-3x+6}{x^{2}-4x-2x+8}=\frac{10}{3}⟹

x

2

−4x−2x+8

x

2

−4x−x+4+x

2

−2x−3x+6

=

3

10

\implies \frac{2x^{2}-10x+10}{x^{2}-6x+8}=\frac{10}{3}⟹

x

2

−6x+8

2x

2

−10x+10

=

3

10

\implies 3(2x^{2}-10x+10)=10(x^{2}-6x+8)⟹3(2x

2

−10x+10)=10(x

2

−6x+8)

\implies 6x^{2}-30x+30=10x^{2}-60x+80⟹6x

2

−30x+30=10x

2

−60x+80

\implies 0= 10x^{2}-60x+80-6x^{2}+30x-30⟹0=10x

2

−60x+80−6x

2

+30x−30

\implies 4x^{2}-30x+50=0⟹4x

2

−30x+50=0

Divide each term by 2 ,we get

\implies 2x^{2}-15x+25=0⟹2x

2

−15x+25=0

Splitting the middle term,we get

\implies 2x^{2}-10x-5x+25=0⟹2x

2

−10x−5x+25=0

\implies 2x(x-5)-5(x-5)=0⟹2x(x−5)−5(x−5)=0

\implies (x-5)(2x-5)=0⟹(x−5)(2x−5)=0

\implies x-5 = 0 \: Or \: 2x-5 = 0⟹x−5=0Or2x−5=0

\implies x = 5 \: Or \: x=\frac{5}{2}⟹x=5Orx=

2

5

Therefore,

x = 5 Or x = \frac{5}{2}

2

5

••••

The inverse variation of the STEM club implies that as the number of students increases, the amount reduces

The number of students is 35

An inverse variation is represented as:

[tex]k = xy[/tex]

Where:

k represents the proportionality constant.

x represents the number of students, and y represents the amount

So, we have:

[tex]x_1 * y_1 = x_2 * y_2[/tex]

This gives

[tex]25 * 17 = x_2 * 12[/tex]

Evaluate the product

[tex]425 = x_2 * 12[/tex]

Divide both sides by 12

[tex]x_2 = 35[/tex]

Hence, the number of students is 35

Read more about inverse variations at:

https://brainly.com/question/1327394

Answer:

108

Step-by-step explanation:

[tex] - 4(3 - 6) \times ( - 3 {)}^{2} \\ = - 4( - 3) \times 9 \\ = 12 \times 9 \\ = 108[/tex]

[tex]3 \times 22 > 180 - y[/tex]

[tex]66 > 180 - y[/tex]

Plus sides y

[tex]66 + y > 180 - y + y[/tex]

[tex]y + 66 > 180[/tex]

Subtract sides -66

[tex]y + 66 - 66 > 180 - 66[/tex]

[tex]y > 112[/tex]

Also :

[tex]y < 180[/tex]

Thus ;

[tex]112 < y < 180[/tex]

Answer:

1÷36=(1/36)

Step-by-step explanation:

ez

Answer:

6

Step-by-step explanation:

replace x with 6, so 6-2+5=9

Answer:

(-9), (-2), 1, 3

Step-by-step explanation:

Answer:

|1|, |-2|, |3|, |-9|

Step-by-step explanation:

Find the absolute values

Order from least to greatest

Answer:

Step-by-step explanation:

ight so u have to find the circumfrance but first u have to get the fromla for circumfrance after u have that you have to get the formula for diamtre and add them up and u will have your answer

Answer:

Step-by-step explanation:

Statements                                               Reasons

∠A and ∠B are supplementary                Given

m∠A = (4x - 16), m∠B = (2x + 4)                Given

m∠A + m∠B = 180°                                  Definition of supplementary angles

4x - 16 + 2x + 4 = 180°                              Substitution property of equality

6x - 16 + 4 = 180                                       Simplify

6x - 12 = 180                                             Simplify

6x = 192                                                    Addition property of equality

x = 32                                                        Division property of equality

m∠B = 2(32) + 4                                       Substitution property of equality

m∠B = 64 + 4                                           Simplify

m∠B = 68°                                                Simplify        

Answer:

48°

Step-by-step explanation:

Because the y° angle plus the 3x° angle should equal 90°.

subtract 48° from 90° and you will get 42°.

the 3x° angle looks like it would be acute so it'd have to be 45° or under.

there's also another way to solve this problem, but I don't remember how

What is X?

Factor 2x−18

2x−18

=2(x−9)

Answer:

2(x−9)

Answer:

98 feet

Step-by-step explanation:

x=22 (I know this isn't an option however, I've reviewed this problem multiple times, but only find x=22 to be correct. You can look at my explanation below to see what I see.

[tex]according\ to\ the\ title\\ the\ diagonals\ of\ an\ isosceles\\ trapezoid\ are\ represented\\ b_y(6x-29)\ and\ (4x+15)\\ so\ 6x-29=4x+15\\ so\ 2x=44\\ so\ x=22[/tex]

Answer: B) 98 feet

[tex]solution:\ From\ question\\ 84\ feet\ long\ and\ 50\ feet\ wide\\ so\ he\ will\ run\ \sqrt{{84}^2+{50}^2}\approx98\ feet[/tex]

I hope this helps you

:)

Answer:

m pq = 103°

Solving steps:

Hey there!

According to the figure,

[tex]r = s \: \: \: \: \: \: \overline{pq} = 9[/tex]

So, [tex]m\overline{pq} = \frac{180 \times \overline{pq} }{x \times r} = \frac{180 \times 9}{x \times 5} [/tex]

[tex] = 103°[/tex]

[tex]Hence, m \: \overline{pq} = 103°[/tex]

The range is the possible output values ( the y values).

The graphed line has arrows pointing up which means the range continues infinitely but the line crosses at y = -6.

This makes the range from -6 to infinity

[-6, infinity)

Answer:

True

Step-by-step explanation:

Maths

Answer:

False

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dnkvn[d

snvkndf

Fasle

Step-by-step explanation:

Answer: 15,000 people paid $15.00 for reserved seats and 25,000 paid $8.00 for general admission.

Step-by-step explanation:

Let x = Number of reserved seats

y= Number of general admission

According o the question:

x + y = 40000           (i)

15x + 8 y = 425000           (ii)

Multiply 8 to equation (i), we get

8x + 8 y = 320000          (iii)

Subtract (iii) from (ii), we get

15x - 8x + 8y - 8y = 425000-320000

⇒ 7x = 105000

⇒ x = 15000  [Divide both sides by 7]

Put this in (i) , we get

15000+y= 40000

⇒ y = 40000-15000

⇒ y= 25000

Hence, 15,000 people paid $15.00 for reserved seats and 25,000 paid $8.00 for general admission.

Answer:

equivalent of 50En-1+n(4n+3))is4{50(50+1)(2×60+1)+3{50(51)_2}

Answer: D

Step-by-step explanation: Im from the future D is correct on edge yw :)

Answer:

8.666...

Step-by-step explanation:

It goes on forever and dosent end so its an integer

Answer:

40

Step-by-step explanation:

To find how much gasoline is needed for 480 kilometers, we will need to find how much is needed per kilometers:

13 liters is used for 156 kilometers

156/13 = 12 so 1 liter gasoline is spent per 12 kilometers

So for 480 kilometers we would need 40 liter gasoline because

480/12 = 40

Answer:

2895 grams

Step-by-step explanation:

Use the density formula, d = m/v, where m is the mass and v is the volume.

Plug in the density and volume into the formula, and solve for m:

d = m/v

19.3 = m/150

Multiply each side by 150:

2895 = m

So, the mass is 2895 grams

Answer:

hi can you help me with shmoop i need help

The amount of gasoline that was in the tank before refilling it was 11.5 gallons. Due to the above, it lacked 8.5 gallons to refill it again.

To calculate how many gallons were left to refill the tank, you need to know how much gasoline was in the tank.

According to the statement, the tank required [tex]8 \frac{5}{10}[/tex] to fill up, then to know how much gasoline it had we must subtract this amount from the maximum capacity of gasoline that the tank requires as shown below:

[tex]8\frac{5}{10}[/tex] = 8.5 gallons

20 - 8.5 gallons

= 11.5 gallons

Based on the above, the number of gallons in the tank was 11.5 gallons of gasoline.

Learn more about fractions in: https://brainly.com/question/1301963

Answer:

The answer  is 25 3/4 miles in total of the 10 days

Answer: 25 3/4

Step-by-step explanation:

good luck

Answer:

the student ran 38 3/4 in 10 days

Step-by-step explanation:

first i did 3 1/2 x 5=17 1/2

then i did 4 1/4 x 5=21 1/4

last i did 17 1/2 + 21 1/4=38 3/4

Answer:

15

Step-by-step explanation:

24-9

If it was one year it would be 2200 and you just keep adding 200 for each year.