The cost of a gallon of milk is $3.27 each. What is the maximum number of milk cartons you can buy for $20?

Sum of first n terms of an AP – Sn = 3 + 4n²

the 3rd, the 10th andthe nth terms.

Substitute the value of n as 1 to find the first term of the given AP.

(Sum of first 1 terms is nothing but the first term).

Hence,

⟹ S₁ = a = 3 + (4)(1)²

⟹ a = 3 + 4

⟹ a = 7

Now,

Substitute the value of n as 2 to find the sum of first 2 terms.

⟹ S₂ = a + a₂ = 3 + 4(2)²

⟹ a + a₂ = 3 + 16

Substitute the value of a here.

⟹ 7 + a₂ = 19

⟹ a₂ = 19 - 7

⟹ a₂ = 12

We know,

nth term of an AP – an = a + (n - 1)d

So,

a₂ = a + (2 - 1)d = a₂ = a + d.

Subtract a from a₂.

⟹ a + d - a = 12 - 7

⟹ d = 5

Now,

nth term = an = 12 + (n - 1)(5)

⟹ an = 12 + 5n - 5

⟹ an = 5n + 7

Substitute n as 3 & 10 , to find the 3rd & 10th terms.

★ a₃ = 5(3) + 7

⟹ a₃ = 8 + 7

⟹ a₃ = 15

★ a₁₀ = 5(10) + 7

⟹ a₁₀ = 50 + 7

⟹ a₁₀ = 57

Therefore,

Third term is 15

Tenth term is 57

nth term is 5n + 7.

I hope it will help you.

Regards.

Step-by-step explanation:

please see the attachment

Answer:

the speed eiether increces or decreces depending on if the number of hours go up or down.

Answer:

16^13

Step-by-step explanation:

4 times four =16

5 +8=13

Answer:

=5x²+21x+18

Step-by-step explanation:

Answer: (x+3)(5x+6)

=(x+3)(5x+6)

=(x)(5x)+(x)(6)+(3)(5x)+(3)(6)

=5x2+6x+15x+18

=5x2+21x+18

Step-by-step explanation:

I hope this helps plz tell me if its wrong so i can fix it.

Answer:

I think its the second one.

Step-by-step explanation:

Answer:

Jackie

Step-by-step explanation:

Perry: 85/5 = $17 per ticket

Jackie: 135/9 = $15 per ticket

Answer:

Jackie

Step-by-step explanation:

Divide 135 by 9, and divide 85 by 5, you can see that one ticket for perry cost $17, while one ticket for jackie cost $15

Answer:

80

Step-by-step explanation:

Answer:

I think

<FAD and <EAD

<CAE and <FAE

Step-by-step explanation:

A linear pair is two adjacent angles whose non-common sides form opposite rays.

Sorry if I'm wrong...could not see all the angles.

I hope I did help you though!

Answer: <BAC and <CAE

<CAE and <FAE

Step-by-step explanation:

edg

Answer:

-0.2 or -1/5

Step-by-step explanation:

divide both sides by factors that dont contain the variable (x)

Answer:

It's labeled as -7.

Answer:

-7

Step-by-step explanation:

the answer is negative 7

Answer:

-1

Step-by-step explanation:

3+2(-2)

3+(-4)

=-1

Answer:

6w - 60x + 6

Step-by-step explanation:

6 goes into each

Answer:

6w-60x+6

Step-by-step explanation:

6(w-10x+1)

separate

6.w         6.-10x         6.1

multiply

6w           -60x           6

put it all together

6w-60x+6

Answer:

e and f

Step-by-step explanation:

Answer:

e and f

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

========================================

Work Shown:

The mixed number 1 & 1/2 converts to

1 & 1/2 = 1 + 1/2 = 1 + 0.5 = 1.5

Then we multiply it with 2 getting

(1 & 1/2) times 2 = 1.5 times 2 = 3

-------------------

Another way you could do it

1 & 1/2 = 1 + 1/2 = 2/2 + 1/2 = 3/2

(1 & 1/2) times 2 = (3/2) times 2 = (3/2) * (2/1) = 6/2 = 3

Answer:

2a. [tex]\frac{9}{16}[/tex]

2b. [tex]1.331[/tex]

3. [tex]c[/tex]

4a. [tex]a=12[/tex]

4b. [tex]b=4[/tex]

4c. [tex]c=4[/tex]

5. in order on number line except it is going down↓

[tex]\sqrt{2}=1.41[/tex]

[tex]\sqrt[3]{8} =2[/tex]

[tex]\sqrt{6}=2.45[/tex]

[tex]\sqrt{9}=3[/tex]

[tex]\sqrt[3]{30}=3.11[/tex]

[tex]\sqrt{18}=4.24[/tex]

Answer:

A Leticia le falta siete doceavos de las páginas del libro por leer.

Step-by-step explanation:

Constatamos que la proporción de páginas por leer es igual a la totalidad de páginas menos las proporciones leídas durante los tres días:

[tex]r = 1 -r_{1}-r_{2}-r_{3}[/tex] (Eq. 1)

Donde:

[tex]r_{1}[/tex] - Proporción leída en el primer día, adimensional.

[tex]r_{2}[/tex] - Proporción leída en el segundo día, adimensional.

[tex]r_{3}[/tex] - Proporción leída en el tercer día, adimensional.

Si sabemos que [tex]r_{1} = \frac{1}{3}[/tex], [tex]r_{2} = \frac{2}{8}[/tex] y [tex]r_{3} = \frac{3}{9}[/tex], entonces la proporción de páginas por leer es:

[tex]r = 1-\frac{1}{3}-\frac{2}{8}-\frac{3}{9}[/tex]

[tex]r = 1-\frac{1}{3}-\frac{1}{4}-\frac{1}{3}[/tex]

[tex]r = 1-\frac{2}{3}-\frac{1}{4}[/tex]

[tex]r = 1-\frac{8-3}{12}[/tex]

[tex]r = 1-\frac{5}{12}[/tex]

[tex]r = \frac{7}{12}[/tex]

A Leticia le falta siete doceavos de las páginas del libro por leer.

Answer: 4.2 x 10⁻⁴m

Step-by-step explanation: Scientific Notation is a method of writing a very large or very small number. It consists in any real number between 1 and 10 multiplied by any power of 10 (positive or negative).

The diameter of hydrogen is 5x10⁻¹¹m. There are 8.4x10⁸ atoms of hydrogen.

To determine the length of the line of atoms, you could add the diameter the number of atoms or multiply the diameter by the number of atoms:

L = 5x10⁻¹¹ * 8.4x10⁸

As it is multiplication, you can mutiply the numbers and then add the power of 10, since they are in the same base:

L = 42 x 10⁻³m

or moving comma to the left:

L = 4.2 x 10⁻⁴m

The length of the line of hydrogen atoms, in scientific notation is 4.2x10⁻⁴m

Answer: 38.6 m

Step-by-step explanation:

1/2(1800)23^2 - (.7)(1800)(9.8 m/s^2)

476,100/121,100 = 3.93 which closest answer was 38.6 and I got it right

Answer:

The slope is 2

You go on 2 and over 1

Answer:

Step-by-step explanation:

1. make common denominators

13/16-12/16

1/16

Answer:

21.4285714 miles

Step-by-step explanation:

Answer: 21.4285714 miles. There you go!

Answer:

C. (9, -9)

Step-by-step explanation:

From Linear Algebra, we understand translations as the following vector sum:

[tex]P'(x,y) = P(x,y) +U(x, y)[/tex] (Eq. 1)

Where:

[tex]P(x,y)[/tex] - Original vector with respect to origin, dimensionless.

[tex]U(x,y)[/tex] - Translation vector, dimensionless.

[tex]P'(x,y)[/tex] - Translated vector with respect to origin, dimensionless.

If we know that [tex]P(x,y) = (2,3)[/tex] and [tex]P'(x,y) =(5,-4)[/tex], then the translation vector is:

[tex]U(x,y) = P'(x,y)-P(x,y)[/tex]

[tex]U(x,y) = (5,-4)-(2,3)[/tex]

[tex]U(x,y) =(5-2,-4-3)[/tex]

[tex]U(x,y) =(3,-7)[/tex]

Now, if we assume that [tex]P(x,y) = (6,-2)[/tex], then the translated vector is:

[tex]P'(x,y) =(6,-2) +(3,-7)[/tex]

[tex]P'(x,y) =(9,-9)[/tex]

Hence, the correct answer is C.

Answer: (9, −9)c

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Step 1:

3x + 112 = 5x + 100         Vertical Angles

Step 2:

112 = 2x + 100         Subtract 3x on both sides

Step 3:

12 = 2x          Subtract 100 on both sides

Step 4:

x = 12 ÷ 2        Divide

Answer:

x = 6

Hope This Helps :)

Answer:

6 is answer

Step-by-step explanation:

5x+100=3x+112

so 2x=12

x=6

Answer:

x=-9

Step-by-step explanation:

Step-by-step explanation:

If you divide 150 by 20 you get 7.50. multiply this by 38 to get 285.

Answer is 285

Answer:

$285

Step-by-step explanation:

Hope this Helps!

plz Mark Brainliest!

Answer:

1.5

Step-by-step explanation:

24÷16=1.5 evenly divided

Answer:

what is noun

is a naming word

Answer:

416080

Step-by-step explanation:

40 x 2 = 80

200 x 2080 = 416000

add together.

Answer:

Step-by-step explanation:

Given

cost of  2.5 pounds of cheese is $5.60.

To get the cost of one pound, we will use the equality postulate:

2.5 pounds = $5.60

1 pound = $x

cross multiply;

2.5x = 5.60

x = 5.60/2.5

x = $2.24

Hence one pound of cheese will cost $2.24

b) If Mrs. Peterson bought 4.75 pounds of cheese, to get the amount she paid, we will say:

1 pound = $2.24

4.75pounds = y

cross multiply

1*y = 2.24 * 4.75

y = $10.64

Hence the cost of 4.75pounds is $10.64

c) To find the cost of 5 pounds, we can use the fact that 2.5 pounds of cheese cost $5.60;

hence 2.5 pounds = $5.60

5 pounds  z

cross multiply

2.5z = 5*5.60

z = 5*5.60/2.5

z = 2*5.60

z = $11.2

Hence the cost of 5 pounds of cheese is $11.2