A teacher wants to give each student 2 pencils. A store is selling pencils in boxes of 24. If the teacher has a total of 125 students, how many boxes of pencils should he buy? ​

Answer:

C. [tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]

Step-by-step explanation:

Iterative geometric sequence:

[tex]a_n=a_1x^{n-1}[/tex]

Recursive geometric sequence:

[tex]a_n=xa_{n-1}[/tex]

The equations are very similar and you only really need to rearrange it. The factor (2/3) and the first term (9) are given, so you can write the iterative equation:

[tex]a_n=(9)(\frac{2}{3})^{n-1}[/tex]

And so the answer is C.

Answer:

rectangle

Step-by-step explanation:

u can use a graph paper

Answer:

hypotenuse Pythagoras property

Answer:

x = 31

Step-by-step explanation:

The given angles are supplementary and their sum is 180 degrees

5x - 16 + x + 10 = 180 add like terms

6x - 6 = 180 add 6 to both sides

6x = 186 divide both sides by 6

x = 31

Answer:

-1 = 1/2*4 + -3 / -1 = 1/2*4 - 3 for slope intercept equations

y + 1 = 1/2(x - 4) for point slope equations

Step-by-step explanation:

Slope intercept formula is y = mx  + b where y is the y point, x is the x point on the graph, m is the slope and b is y intercept. For this we know the slope, the x and the y axis. Now all we need to find is the y intercept, for this we would have have to multiply the x axis by the slope and then find the number to complete the equation in this case its 1/2 (slope) and 4 (x axis),

-1 = 2 + b

for this we'd subtract -2 to both sides

-1 -2 = +2 - 2 + b

Which then we'd get,

-3 = b

So our Y intercept is -3

To complete the equation we'd finish it with putting everything together,

-1 = 1/2*4 + -3 or -1 =1/2*4 -3

If it were a point slope equation (y - y₁ = m(x - x₁)) we have the y₁, x₁ and the slope value 1/2, so we have all we need to fill in the point slope equation and here it is,

y + 1 = 1/2(x - 4)

Hope this helps!

Answer:

383.5

Step-by-step explanation:

We want to round 383.52 to the nearest tenth.

The tenth would be the 5.

To round we look at the number after the one we want to round ( so 2 )

If the number is greater than 4 so ( 5, 6, 7, 8 or 9 ) then we raise the number that we want to round but if its less than 5 ( 4, 3, 2, 1 , 0 ) we keep the number as it is.

2 is less than 5 so we keep 5 as it is to get 383.5

Answer:

slope = -4/5 and y-intercept = -9/5

Step-by-step explanation:

make y the subject of the formula

Answer:

There are 35 boys in the class.

Step-by-step explanation:

Girls to Boys ratio = 3:7

Total number of students in class = 50

Let total number of girls be '3x' and total number of boys be '7x'

Total number of girls + Total number of boys = Total number of students

3x + 7x = 50

10x = 50

x = 50/10

x = 5

[tex] \therefore [/tex]

Total number of girls = 3 × 5 = 15

Total number of boys = 7 × 5 = 35

Answer:

A) 50°, 65°, 65°

B) 45°, 50°, 85°

C) 20°, 60°, 100°

Step-by-step explanation:

To see if the angles can be used to construct triangles, you have to check if the degrees add up to 180 (Since the degrees in a triangle always have to add up to 180 degrees).

A) 50° + 65° +  65° = 180° (Good!)

B) 45° +  50° +  85°  = 180° (Good!)

C) 20° +  60° +  100° = 180° (Good!)

D) 30° +  60° +  70° = 160° (Bad!)

E) 20° +  45° +  120° = 185° (Bad!)

Answer: 22 blue balloons

Step-by-step explanation:

IF 3/10 balloons are red out of 60, we have

[tex]\frac{3}{10} *60[/tex] = 18 red balloons in total

1/3 of the balloons are yellow, 60/3=20 yellow balloons

Blue balloons= 60-18 (red)-20(yellow)=22

Answer:

154

Step-by-step explanation:

42 is 35% of 120, and 78 is 65% of 120. Thus 35% of 440 is 154 people who would shop for shoes.

Please like and thank, hope this helps.

The number of customers that would shop for children's shoes during an average month is 154.

Number of randomly selected customers = 120

Number of customers willing to shop for children's shoes = 42

As we know that percentage is the value per hundred.

So, (42/120) *100 = 35%

So, 42 is 35% of 120.

This means that 35% of customers are willing to shop for children's shoes.

Average customers per month = 440

35% of 440 = (35*440)*100

35% of 440 =154

So, the number of customers that would shop for children's shoes

during an average month =154.

Therefore, the number of customers that would shop for children's shoes during an average month is 154.

To get more about the percentage visit:

https://brainly.com/question/24304697

Answer:

first blank : 6

second blank : 5

Step-by-step explanation:

Answer:

Option A, 300 - 20w

Step-by-step explanation:

In a week, she withdraws $20

in w weeks, she will withdraw ; w × 20

= 20w

Balance = Initial amount - Amount withdrawn

= 300 - 20w

Answer:

lp

Step-by-step explanation:

y

Answer:

wdym???

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

since 2.25 divided by 0.10 is 22.5 so she can message 22.5 friends

Answer:

A 17, B 19, C 27

Step-by-step explanation:

A + B = 36

A + B + C = 63

63 - 36 = 27, which is C

C - A = 10

27 - A = 10

A = 17

A + B + C = 63

17 + B + 27 = 63

63 - 44 = 19

Answer:

[tex]\displaystyle m = \frac{4}{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points.

Point (-3, 1)

Point (2, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Answer:

a=100

b=1

Step-by-step explanation:

18a+65b=1865

23a+7b=2314

We need to make one of the variables equal to the other

So...

The LCM for 65 and 7 is 455

So multiply 7 with 18a+65b=1865

and Multiply 65 with 23a+7b=2314

7 times 18a+65b=1865 is 126a+455b=13055

65 times 23a+7b=2314 is 1495a+455b=150410

So Subtract 126a+455b=13055 and 1495a+455b=150410

So 1369a=137355

Divide:

Which is about 100 (The actual value is 100.3323594)

Thus a=100

Substitute:

b=1

Hope this helps!

(The answer is rounded)

Answer:

0 ≤  x ≤ 20.

Step-by-step explanation:

-10≤2x – 10 ≤30

2x - 10 ≤ 30

2x ≤  40

x ≤ 20.

2x - 10  ≥ -10

2x ≥  0

x ≥ 0.

For compund inequalities you will have to separate both sides of the inequality into different equations so you can later plug it in.

For Example:

-10 ≤2x-10 Would be 0 ≤x

Add 10 on both sides, end up with 0≤2x then divide by 2 on both sides and end up with 0≤x

2x-10 ≤30 Would be x ≤20

Add 10 on both sides end up with 2x≤40 divide by 2 on both sides and end up with x≤20

So the answer would be 0 ≤ x ≤  20

Answer:

4 - 3

Step-by-step explanation:

fill in the blanks with the numbers you have left. you dont need the 5 since its already there :D

Answer:

Step-by-step explanation:

top right

Answer:

Its C (upper right)

Step-by-step explanation:

Answer:

[tex]i = \sqrt{ \frac{p}{r} } [/tex]

Answer:

KOF

Step-by-step explanation:

Khan Academy

Trust me

Answer:

KOF

Step-by-step explanation:

Khan academy

(x + a)^2 + b form can be achieved by a method known as completing the square.

Step 1: Divide the b term by 2 and square it

8 / 2 = 4

4^2 = 16

Step 2: Add and subtract 16 from the expression

---Adding 16 creates a perfect square trinomial between x^2 + 8x + 16. But, if we add 16, we also need to subtract it. So, we will subtract 16 from our c term, 14.

x^2 + 8x + 16 + 14 - 16

x^2 + 8x + 16 - 2

Step 3: Factor the perfect square trinomial

(x^2 + 8x + 16) - 2

(x + 4)(x + 4) - 2

(x + 4)^2 - 2

Answer: (x + 4)^2 - 2

Hope this helps! :)

Answer:

that's my answer

Step-by-step explanation:

16/60

please comment if I'm wrong

Answer:

20/3 or 6.66

Step-by-step explanation:

3x-17=x+3      3x=20+x      x=20/3+x      20/3      6.66---

Answer:

75 degrees

Step-by-step explanation:

all added up is 180 on every triangle. 70+35=105. 180-105=75