a) Expand and simplify.
9(x - 3) - 2(x-4)
Simplify
(9x-27)-(2x+8)

Answer:

27f + 59

Step-by-step explanation:

Answer:

6.4294 years

Step-by-step explanation:

45.1 million in 2009 -- 2.3% each year

In what year will the population exceed 52.2 million?

We use exponential growth formula

ξ(t) = y = ab^t

a = 45.1, b = 1+ξ, ξ= 2.3%, ξ(t) = 52.2

52.2/45.1 = (1.023)^t

We take log both side

Log(1.15742794) = tlog(1.023)

0.0634939619 = t0.00987563371

t = 0.0634939619/0.00987563371

t = 6.429355701569454

t = 6.4294 years

Answer:

0.4

Step-by-step explanation:

The question that can be answered using the expression can be 1/3 of the total apple pie is divided in to 3/4 parts.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is 1/3 ÷ 3/4.

Here the operation is division.

So 1/3 of something is divided in to 3/4 parts.

Let a total amount of something be 1/3 units.

Suppose you have to divide it into 3/4 parts.

Then this expression can be used.

Let the total amount of apple pie left is 1/3 part of the total.

You have to divide t into 3/4 parts.

Hence the word problem can be 1/3 of the total apple pie is divided in to 3/4 parts.

Learn more about expressions here :

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Answer:

40 students cannot drive

Step-by-step explanation:

200 divided by 10 = 20

20 times 2 = 40

Answer:

Step-by-step explanation:

3rd one

Answer:

11.2

Step-by-step explanation:

Answer:

B,D,E for sure

Step-by-step explanation:

Not A because a parabola looks different. Not sure about C.

Answer:

Step-by-step explanation:

Answer:

3(a)+2(o)=14

3(a)+2(o)=34

3(4)+2(1)=14

3(8)+2(5)=34

Step-by-step explanation:

4 apple's and one orange to get 14 pieces of fruit. 8 apples and 5 oranges to get 34 pieces of fruit.

An

$52

Step bro

suck it

Answer:

52$

Step-by-step explanation:

Divide for the unit price of 1 book.

You get $52

Answer:

The total number of students in the school is 750. You can use algebraic equation to calculate the number of the students. Let x be the total number of students in the school. Hope this helps.

Answer:

Um A?

Step-by-step explanation:

OKAY WHY ARE U IG

-ORI

-G  ME!!!!!

Complete question :

Victor left his house riding his bike at a speed of 18 km/h. When Victor was 1/2 km away from his house his brother Alex left the house riding at a rate of 24 km/h. How long will it take Alex to catch up with Victor?

Answer:

0.083333 or 5 minutes

Step-by-step explanation:

Victor's speed = 18 km/hr

Alex's speed = 24 km/hr

Alex left after Victor has moved a distance of 1/2 km

Time Alex will catch up with Victor :

Let time = x

distance at which Victor = Alex

(18 * x) + 0.5 = (24 * x)

18x + 0.5 = 24x

18x - 24x = - 0.5

-6x = - 0.5

x = 0.5 / 6

x = 0.0833333 hour

x = 0.0833333 *60 = 5 minutes

Answer:

5 min

Step-by-step explanation:

Answer:

197

Step-by-step explanation:

Given that :

Weight of crate = 80kg

Greatest weight container can load = 25000 kg

Weight of other shipments on container = 9200kg

Greateat Number of 80kg crates = c

Weight of other shipment + (weight of crate * number of crates) ≤ greatest weight of container

9200 + (80 * c) ≤ 25000

9200 + 80c ≤ 25000

80c ≤ 25000 - 9200

80c ≤ 15800

c ≤ 15800 / 80

c ≤ 197.5

Hence, maximum number of 80kg crate is 197

The inequality which can be used to determine c will be "[tex]9200 + 80c \leq 25000[/tex]". A complete solution is below.

Given values are:

Crates' weight,

Greatest weight container,

Other shipments' weight

Let,

Now,

As we know the formula,

→ [tex]Other \ shipments' \ weight + (Crates' \ weight\times Number \ of \ crates) \leq Greatest \ weight \ container[/tex]By substituting the values, we get

→   [tex]9200 + (80\times c) \leq 25000[/tex]

→          [tex]9200 + 80c \leq 25000[/tex]

Thus the above response is right.

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Answer:

x is 5

ST is 45

Step-by-step explanation:

In the given figure

∵ m is the bisector of the segment SU

→ That means m intersects SU at the midpoint of SU

∵ m ∩ SU at point T

∴ T is the midpoint of SU

→ The midpoint of a segment divides it into two equal parts

∵ The point T divides SU to ST and TU

∴ ST = TU

∵ ST = 9x

∵ TU = 4x + 25

→ Equate them

∴ 9x = 4x + 25

→ Subtract 4x from both sides

∵ 9x - 4x = 4x - 4x + 25

∴ 5x = 25

→ Divide both sides by 5

∴ x = 5

→ Substitute the value of x in ST

∵ ST = 9(5) = 45

∴ ST is 45

9514 1404 393

Answer:

  (b)  see below

Step-by-step explanation:

These tables all have x-values that are consecutive integers, including 0.

The equation has an x-coefficient of -1/2, so as x increases by 1, y should decrease by 1/2 from one row of the table to the next. This is only the case for table B.

__

As another check, the y-value for x=0 is the constant in the equation, -1. That is not the case for table C, further evidence that C is incorrect.

Answer:

Angle A = 15

Angle B: 105

Step-by-step explanation:

Angle A and 75° add up to 90°

75 + x = 90

x = 90 - 75

x = 15

Angle B and 75° add up to 180°

75 + x = 180

x = 180 - 75

x = 105

Answer:

A is not a ratio

Step-by-step explanation:

Answer:

A. - (1,2)

Step-by-step explanation:

We can represent the ratio as a fraction (like in C.), by using the preposition "to" just like in D, and by using a ":" sing just like in number B. So that leaves us with only one option which is A.

Answer:

18

Step-by-step explanation:

(2+3)^3 = (6)^3 = 18

Step-by-step explanation:

18

(2 + 3)^3=(6)^3=18

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that the smallest side is 3 and that the 2nd side is twice the smallest side. This means that the second side will be:

= 3 × 2 = 6

The 3rd side is 6 more than the 2nd side. The 3rd side will be:

= 6 + 6 = 12

The perimeter of a triangle is the addition of its sides. Therefore, the perimeter is:

= 3 + 6 + 12

= 21

The sides are:

1st side = 3

2nd side = 6

3rd side = 12.

Answer:

[tex]y = mx + c \\ f(x) = 5ax[/tex]

By comparing both the equation we get that,

Answer:

a/b

Step-by-step explanation:

ratio is a to b so a:b or a/b

Answer:

Slope m = 4

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

[Slope-Intercept] y = 4x - 1

Step 2: Break Function

Identify Parts.

Slope m = 4

y-intercept b = -1

Answer:

The equation of the line is;

y = 4x - 16

Step-by-step explanation:

Here, we want to find the equation of a line that passes through the point (2,-8) and has a slope of 4

To get this equation, we are going to use the point-slope form

Thus, we have it that;

y-y1 = m(x-x1)

y -(-8) = 4(x-2)

y + 8 = 4x - 8

y = 4x -8-8

y = 4x - 16

Answer:

$150,000

Step-by-step explanation:

The first step is to calculate the total number of units

= 2 +1 +2

= 5

If he buys at the rate of $30,000 for one unit then the total money spent on advertising can be calculated as follows

= 30,000 × 5

= 150,000

Hence the promoter spends $150,000 on advertising

Answer:

Step-by-step explanation:

Answer:

40 miles is her goal.

Step-by-step explanation:

The problem says that 24 miles is 60% of her goal for that month.

You cab make a proportion with x being the goal for the whole month.

24/x = 6/10

You cross multiply and get:

6x = 24 x 10

6x = 240

x = 40

40 miles is the answer.