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Steven already knew 28 appetizer recipes before starting culinary school, and he will learn 1
new appetizer recipe during each week of school. After how many weeks of culinary school
will Steven know a total of 34 appetizer recipes?

1. meters/second

2. $/pound

3. $/ tire

4. people/class

5. miles/gallons

6. calories/serving

Answer:

x=8

Step-by-step explanation:

set the equations equal to themselves and solve

3x-9=2x-1

+9 and -2x

x=8

Check:

3(8)-9=2(8)-1

24-9=16-1

15=15

The lowest form of the ratio 84 : 99 is 28 : 33.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, A ratio 84 : 99.

The lowest form of the ratio is when it can not be simplified further.

∴ 84 : 99.

= 28 : 33

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Answer:

A. No solutions

Step-by-step explanation:

2x-2x=-9

0= -9

Since 0 does not equal -9, there are no solutions.

Answer:

A

Step-by-step explanation:

Answer:I just had this question also it’s A, 4 divided by 1/6=24

Step-by-step explanation:

Answer:

The price would now be $59.40

Step-by-step explanation:

$59.4 is the sale price of the game system.

What is selling price?

The selling price is how much a buyer pays for a product or service.

Given,

A toy store is having a sale. A video game system has an original price of $99.

It is on sale for 40% off the original price.

We need to find how much 40% of $99.

40/100×99=0.4×99=39.6.

So sale price of the game system is $99-$39.6=$59.4.

Therefore sale price of the game system is $59.4.

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Answer: 2 inches

Step-by-step explanation:

14 inches

Step-by-step explanation:

Length of the hole = 16(½) inches

Length of the dirt = 8(¾)inches

The distance between the top of the pile to the bottom of the hole = ?

Since the dirt is beside the hole and not inside the hole, we can find it's length using addition.

Distance from the top to the bottom = length of dirt + length of the hole

Length of dirt = 8×¾ = 6 inches

Length of the hole = 16 × ½ = 8 inches

Distance from the top of the dirt to the bottom of the hole = (6 + 8) inches

Distance from the top of the dirt to the bottom of the hole = 14 inches

Note: the only way we can use subtraction here is if the hole was filled with dirt, what's the distance that's left

Distance left = length of hole - length of dirt

Distance left = 8 - 6 = 2 inches .

Answer:

(x + 5)(3x - 2)

Step-by-step explanation:

Assuming you require the expression factorised.

3x² + 13x - 10

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = + 13

The factors are + 15 and - 2

Use these factors to split the x- term

3x² + 15x - 2x - 10 ( factor the first/second and third/fourth terms )

= 3x(x + 5) - 2(x + 5) ← factor out (x + 5) from each term

= (x + 5)(3x - 2) ← in factored form

Answer:

80 degrees

Step-by-step explanation:

both intersections are the same, so we can count them as one. We notice that one line is a straight line compared to other so we can subtract 100 from 180 and get 80

Answer:

80

Step-by-step explanation:

Vertical angles equal 360 in total and the angles across from each other equal the same. 100 x 2 = 200

360-200 = 160

160/2 = 80

I hope this helps enjoy your day!

Answer:

162

Step-by-step explanation:

I think this is right because angle one is the same as angel two

18*2=36

360-36=324

324/2=162

Answer:

2= 162*

Step-by-step explanation:

magic

Answer:

0

Step-by-step explanation:

5(x+3) replace x with -3

5(-3+3)

5(0)

0

Step-by-step explanation:

Equation of straight line is y=mx+c

choose any two points on straight line

for me I choose:(-3,11) and (3,-1)

use these two points to find gradient,m.

m= (-1-11)/(3-(-3))

m= -2

now, y=-2x+c

choose any point on the straight line

I choose point (3,-1)

sub the point into the equation to find c

-1=-2(3)+c

c=5

equation: y=-2x+5

Answer:

Vertical pairs are the complete opposite of one another. It is simple to find vertical pairs because they are opposite of one another.

Step-by-step explanation:

Look at the example.

Answer:

-5(2) is different from -52 because -5(2) equals -10.

Step-by-step explanation:

-5(x) implies that -5 is being multiplied by x. Any time 2 numbers (one in parenthesis) are next to each other without a symbol inbetween it implies multiplication

Answer:

The answer is B.8 games,9 rides

Answer:

The Division Property is used to create Step 4

Answer:b

Step-by-step explanation:

Answer:

n=3

Step-by-step explanation:

90×1/6=15 men

15*2=30 women

90-15-30=45 children

45 children: 15 men

3:1 ratio of children to men

n=3

Answer:

yes it is

Step-by-step explanation:

Answer:It Is correct

Step-by-step explanation:

Answer:

it is an acute angle

Step-by-step explanation:

less then 90° is a acute and above 90° angle is an obtuse

Answer:

Some points are: (1, 4), (0, 9), and (3, -6), just to name a few.

Step-by-step explanation:

We can find out an ordered pair for this equation by plotting the line 5x + y = 9 on a graph. If you graph 5x + y = 9, then we see that the point (1, 4) is a point that the line intersects. Let's substitute that values:

5(1) + 4 = 9

Order of operations, multiply first...

5(1) = 5

Then it becomes...

5 + 4 = 9

We can see that 5 plus 4 actually does equal 9, so the point (1, 4) works. Let's try a different point. We can see the point (0, 9) is another point that the line intersects. Same process for this point too.

5(0) + 9 = 9

Then...

5(0) = 0

0 + 9 = 9

We see that 0 plus 9 ALSO works, but let's try one more time. Another point that works is the point (3, -6) Again, same process.

5(3) + -6 = 9

That is equal to:

5(3) - 6 = 9

Simplify...

5(3) = 15

15 - 6 = 9

15 minus 6 works as well! Any point that the line intersects will be a solution for the equation. I hope this helps!

Answer:

20.6

Step-by-step explanation:

20.5664 = 20.6

Answer:

20.6 cm

Step-by-step explanation:

First find the circumference of a semicircle with diameter 8 cm

C = 1/2 ( pi d)

C = 1/2 ( 3.14 * 8)

C = 12.56cm

Then add the diameter to close the circle

12.56+8 = 20.56 cm

Round to 1 decimal place

20.6 cm

Answer:

A & B

Step-by-step explanation:

See attachment for complete question

Given

[tex]y = \frac{1}{2}x[/tex]

Analyzing the given options

Option A:

[tex]6y = 3x[/tex]

Divide both sides by 6

[tex]\frac{6y}{6} = \frac{3x}{6}[/tex]

[tex]y = \frac{3x}{6}[/tex]

[tex]y = \frac{1}{2}x[/tex]

This is true for the given expression:

Option B:

From the graph:

x = 2, when y = 1

x = 4, when y = 2

Solving for the slope:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

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

[tex]m = \frac{1}{2}[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 1 = \frac{1}{2}(x - 2)[/tex]

[tex]y - 1 = \frac{1}{2}x - 1[/tex]

Add 1 to both sides

[tex]y - 1 +1 = \frac{1}{2}x - 1 + 1[/tex]

[tex]y = \frac{1}{2}x[/tex]

This is also true for the given expression.

Option C:

From the graph:

x = 2, when y = 4

x = 4, when y = 8

Solving for the slope:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{8 - 4}{4 - 2}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m =2[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 4 = 2(x - 2)[/tex]

[tex]y - 4 = 2x - 4[/tex]

Add 4 to both sides

[tex]y - 4 + 4= 2x - 4 + 4[/tex]

[tex]y = 2x[/tex]

This isn't true for the given expression.

Option (D):

From the table:

x = 2, when y = 1

x = 4 when y = 3

Solving for the slope:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

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

[tex]m = \frac{2}{2}[/tex]

[tex]m = 1[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 1 = 1 * (x - 2)[/tex]

[tex]y - 1 = x - 2[/tex]

[tex]y = x - 2 +1[/tex]

[tex]y = x - 1[/tex]

This isn't true for the given expression.

Answer:

A,B, and E

Step-by-step explanation:

trust me.

Answer:

(2,-11) is the vertex

Answer:

Step-by-step explanation:

[tex]f(x)=3x^2-12x+1\\\\f(x)=3(x^2-4x)+1\\\\f(x)=3(x^2-2\cdot x\cdot2+2^2-2^2)+1\\\\f(x)=3(\underline{x^2-4x+4}-4)+1\\\\f(x)=3[(x-2)^2-4]+1\\\\f(x)=3(x-2)^2-12+1\\\\f(x)=3(x-2)^2-11[/tex]

the vertex form of parabola's equation is: f(x) = a(x - h)² + k with vertex (h,k)

x-h = x-2  ⇒  h = 2

+k = -11    ⇒   k = 11

Answer:

S= 11+4t

Step-by-step explanation:

Answer:

S= 11+4t .      

hope I'm write not sure

Step-by-step explanation:

If a=2 then you would have u=3b-2(2) or u=3b-4 :)

Answer:

Step-by-step explanation:

B= 2/3a-2//3+1/3u, u equals R, A equals r

A=3/2b+1-1/2u, u equals R b equals R

Answer:

use would use 8 cups

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

Answer:

16.97

Step-by-step explanation:

b=  [tex]\sqrt{c^2-a^2}[/tex]

a= [tex]\sqrt{18^2-6^2}[/tex]

b= [tex]\sqrt{324-36}[/tex]

b= [tex]\sqrt{288}[/tex]

b=16.970562748477