David loves to cook! He knew 21 recipes before starting cooking school and he learns 2 recipes
every 1 one week. An equation to represent that is y = 21 + 2x where x represents number of
weeks and y represents number of recipes.
His friend Sarah believes that if he attends school for 10 weeks that means he knows 42 recipes.
Explain if she is correct.

Answer:

  x<7/12

Step-by-step explanation:

     1/4+x<5/6

1/4+x-1/4 < 5/6-1/4

             x<10/12-3/12

            x<7/12

Answer:

519

Step-by-step explanation:

We know the admission for adults is $22, and the kids ticket is 5 less.

22 - 5 = 17

now we know the kids ticket is $17

12 adult tickets - 22 x 12 = 264

15 children - 15 x 17 = 255

264 + 255 = 519

Answer:

3.65

Step-by-step explanation:

this is the same as saying

50%of 7.3

which is 3.65

Answer:

The graph would be similar to a Sin or Cos graph with a vertical shift. As the music gets louder the graph will go up and as the music and crowd become quieter, the graph will go down. Going up and down until the end of the concert where it will be 0.

Step-by-step explanation:

This is because the concert music would be loud, causing the sound on the graph to have a steady line.

Hope this helped! :)

Answer:

that would be 3/5 minutes

Step-by-step explanation:

Answer/Step-by-step explanation:

Change the 3rd and 4th input. ALL the input values must be different even if they have the same output values in order to be a function. NONE of the input values should be the same, it just has to be something completely different for it to be correct. It may not be linear, but It will be correct.

Answer:

yes

Step-by-step explanation:

Answer:

5( 4w -3)

Step-by-step explanation:

just pulled out a 5

Answer:

[tex]\huge\boxed{\sf 5(4w-3)}[/tex]

Step-by-step explanation:

[tex]\sf 20w-15\\\\Highest\ Common\ Factor= 5\\\\Take \ 5 \ common\\\\5(4w-3)\\\\This \ is \ the \ required\ factorized \ form\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer: B, D, E

Step-by-step explanation: Its very easy to check, For B, you notice that it is the same, only the numbers are swapped. In multiplication, this is perfectly fine. For D, I just knew that the answer was 12x+9. And in D, there are 3 4x and 3 threes', so that one was correct. And for E, all you have to do is to multiply accordingly to the distributive property

Answer:

A=45 b=110

Step-by-step explanation:

I used a calc

Answer:

A=135 b=200

Step-by-step explanation:

135+200+25=360

X+(x+65) +25=360

Subtract 25 from both sides

X+ (x+65)=335

Combine like terms

2x +65=335

Subtract 65 from both sides

2x =270

Divide by 2

X=135

To get b you just do 135+65=200

Answer:

22) 7d+ 4d-23y

=11d -23y

25) =n-6t

Answer:

y = 1/3x -4

Step-by-step explanation:

The y intercept is -4 as you can see in the graph. To find the slope look at the graph and find where it perfectly intercepts. It goes up one block and to the right three. So the slope is 1/3 . Since the line is going up to the top right it’s a positive slope.

45 boys and 15 girls

Answer:

Step-by-step explanation:

Prime less than 10:

The number is:

Answer:

A.True

B.False

C.False

D.True

E.True

F.False

Step-by-step explanation:

A. It's true because 4/4 is 1

B. It's false because 2×4 is 8 not -8

C. x exponent 2, 4 exponent 2 is 16 not -16

D. 4×(-3) is -12 so it's true

E. ×+×+×, 4+4+4 is 12 so again it's true

F. ×+4, 4+4=8 not -8

I think the answers are this!

Answer:

11) 6

12) 3

Step-by-step explanation:

2 log 2 8

so 2(log2 8)

Base 2 so 2^x=8 so 3.

2*3 is 6.

log a a cubed

base a so a^ x = a^3

x=3

so 3.

Hope this helps ;D

Answer:

6 and 3

Step-by-step explanation:

Using the rules of logarithms

log[tex]x^{n}[/tex] ⇔ n log x

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

[tex]log_{a}[/tex] a = 1

(11)

let 2 [tex]log_{2}[/tex]8 = n , then

[tex]log_{2}[/tex] 8² = n

[tex]log_{2}[/tex] 64 = n

[tex]log_{2}[/tex] [tex]2^{6}[/tex] = n

[tex]2^{6}[/tex] = [tex]2^{n}[/tex]

Since bases on both sides are equal, equate the exponents, that is

n = 6

(12)

[tex]log_{a}[/tex] a³

= 3 [tex]log_{a}[/tex] a

= 3 × 1

= 3

Answer:

48

Step-by-step explanation:

dddd

Answer:

sorry but can you put a picture or a question? thanks    :)

Step-by-step explanation:

Answer:

3.3%

Step-by-step explanation:

compound interest: A = Pe^(rt)

A = 534.46

P = 450

t = 5

534.46/450 = e^(5r)

e^(5r) = 1.18

lne^(5r) = ln 1.18

(5r)lne = ln1.18

ln1.18 = 5r

5r = 0.165

r = 0.033

or 3.3%

Answer:

6 1/10

Step-by-step explanation:

just need to find out the difference in the distances

9 2/5 - 3 3/10 = 6 2/5 - 3/10 = 6 1/10

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Just subtract 3_3/10 from 9_2/5.

Let 3_3/10 be 33/10.

Let 9_2/5 be 47/5.

47/3 - 33/10 =

LCD is 30.

30 ÷ 3 = 10.

10 x 47 = 470

30 ÷ 10 = 3

3 x 33 = 99

We now have (470 - 99)/30.

This becomes (371/30) miles.

You can express (371/30) miles as a mixed number answer if needed.

Answer:

720

Step-by-step explanation:

16 times 45

Answer: the answer is B

Step-by-step explanation:

The solutions of the equation X⁴-9x² + 8 = 0 is ±2√2 and ±1

X⁴-9x² + 8 = 0

Let x² = y

Then the equation becomes y² - 9y + 8 = 0

This is in the form ax² + bx + c = 0

We can solve by using quadratic formula for finding roots

x = {-b ± √(b² - 4ac)} / 2a

where,

= {-(-9) ± √((-9)2 - 4(1)(8))} / 2(1)

= {9 ± √(81 - 32)} / 2

= {9 ± √49} / 2

= {9 ± 7}/2

= 16/2, 2/2

= 8, 1

y = 8,1

x = ±2√2, ±1

Learn more about equation:

https://brainly.com/question/16863577

Answer:

105m²

Step-by-step explanation:

15+6=21

21÷2=10.5

10.5x10=105

Answer:

1.y=3x

2.y=-3x+4

3.y=1.5x-7

4.y=7

5.y=-1.5x-4

Step-by-step explanation:

1.m=3,b=0

2.m=-3,b=4

3.m=1.5,b=7

4.m=0,b=7

5.m=-1.5,b-4

hope it helps po

Answer:

see below and attached

Step-by-step explanation:

m = 3

b = 0

m = -3

b = 4

m = 1.5

b = 7

m = 0

b = 7

m = -1.5

b = -4

Answer:

The equation of the line is y = x + 1

Step-by-step explanation:

The equation of the line is y = m x + b, where

The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

∵ The line passes through points (3, 4) and (-4, -3)

∴ x1 = 3 and y1 = 4

∴ x2 = -4 and y = -3

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{-3-4}{-4-3}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1

∴ m = 1

→ Substitute it in the form of the equation above

∴ y = 1(x) + b

∴ y = x + b

→ To find b substitute x by 3 and y by 4 in the equation

∵ 4 = 3 + b

→ Subtract 3 from both sides

∵ 4 - 3 = 3 - 3 + b

∴ 1 = b

→ Substitute it in the equation

∴ y = x + 1

∴ The equation of the line is y = x + 1

Answer:

Why do you have two equal signs in this question?

Answer:

Exact form: 17/165

Decimal form: 0.103

Step-by-step explanation:

hope this helps :)

Answer:

0.1

Step-by-step explanation:

(9+8)/(88+77)

(17)/(165)

17/165

0.1030303030

0.10

Answer:

Jessica is currently 3 years old and her father is 27 years old.

Step-by-step explanation:

System of Equations

Let's call:

x = Jessica's age

y = Jessica's father's age.

There are two conditions:

1: Jessica's father is 24 years older than her or, equivalently:

y = x + 24

2: Three years from now, he will have five times her age.

Three years from now, Jessica will have x+3 years, and her father will have y+3 years, thus:

y + 3 = 5( x + 3 )

Substituting the first condition into the second:

x + 24 + 3 = 5( x + 3 )

Operating:

x + 27 = 5x + 15

Subtracting x and 15:

27 - 15 = 5x - x

12 = 4x

Solving:

x = 12 / 4 = 3

x = 3

y = 3 + 24 = 27

y = 27

Jessica is currently 3 years old and her father is 27 years old.