At the book store, you purchased some $3 clearance mystery books and $8
regular-priced science fiction books. How many of each did you buy if you spent a
total of $77?

Answer:

Step-by-step explanation:

[tex]13x + 14y - 12 = 14x + 15y + 13[/tex]

Collect like terms

[tex]14y-15y=14x-13x+13+12[/tex]

Simplify

[tex]-y =x +25[/tex]

Multiply through by -1(to reverse the inequality)

[tex]-1(-y=x+25)\\\\y =-x-25[/tex]

Answer:

y= -x - 25

Step-by-step explanation:

Answer:

15w = s

Step-by-step explanation:

When you look at the graph, after one week, Michael has earned 15 dollars. So if you're trying to find the amount for w weeks, you would multiply 15 by w to get s, the amount of money in Michael's account.

Hope this helps!

Hedgehog68

Answer:2

Step-by-step explanation:

Slope=rise/run=(2-0)/(1-0)=2/1=2

Answer:

y−3=2(x+3)

y=2x+9

that's the answer hope this helps u

When the sample size is large and includes outliers. Apparently you can also find the mode in this scenario

Answer:

When the sample size is large and includes outliers

Step-by-step explanation:

I just took the exam

Answer:

Step-by-step explanation:

1,5,10,10,5,1 - so your answer would be A

The coefficient corresponding to k = 0 of the binomial expansion ( x + y )⁵ is given by the order 1, 5, 10, 10, 5, 1

The general term of the binomial expansion is Tr+1 = nCr x^n-r y^r . Here the coefficient values are found from the pascals triangle or using the combinations formula, and the sum of the exponents of both the terms in the general term is equal to n.

( x + y )ⁿ = ⁿCₐ ( x )ⁿ⁻ᵃ ( y )ᵃ

Given data ,

Let the binomial expansion be represented as A

Now , the value of A is

A = ( x + y )⁵   be equation (1)

On simplifying , we get

( x + y )ⁿ = ⁿCₐ ( x )ⁿ⁻ᵃ ( y )ᵃ

( x + y )⁵ = x⁵ + 5x⁴y + 10x³y² + 10x²y³ + 5xy⁴ + y⁵

Now , the coefficients of the expansion is given by

A = 1 , 5 , 10 , 10 , 5 , 1

Hence , the order of coefficients of the binomial expansion is 1 , 5 , 10 , 10 , 5 , 1

To learn more about binomial expansion click :

https://brainly.com/question/3537167

#SPJ7

Answer: no of women before they walked in is 8.

Step-by-step explanation:

given data:

ratio of men and women = 3:5

when 2 men and 1 woman walks in = 2:3

solution:

no of women in the theatre before they walked in

men/women= 3/2,

let men =3x............eqn1

women = 2x................eqn2

Total =20

therefore:

[tex]3x+2x=20[/tex]

collect like terms

[tex]5x=20[/tex]

[tex]x=[/tex][tex]\frac{20}{5}[/tex]

[tex]x=4[/tex]

substitute the value gotten for x into equation 1 and 2

[tex]men = 3x= 3(4)=12\\women=2x=2(4)=8[/tex]

Answer:

She can read 28 pages in 35 minutes

Answer:

echinacea- 27

vitamin c- 15

zinc- 5

Step-by-step explanation:

Answer:

8.06

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]a^{2} +b^{2} =c^{2}[/tex]

The hypotenuse is always the slanted side, or c (x in this picture), but the other numbers can be interchanged. Doesn't matter.

Plug the numbers 4 and 7 into the formula.

[tex]4^{2} +7^{2} =c^{2} \\[/tex]

Now evaluate them to get [tex]c^2[/tex]

16+49=65

To get c, take the square root of 65

[tex]\sqrt{65} = 8.06[/tex]

here is your answer

x=4 and y=8

Answer:

x = 4

Step-by-step explanation:

3x - 4y = 36

5x + 2y = 8

solve for y:

5x + 2y = 8

-5x           -5x

2y = 8 - 5x

/2        /2

y = 4 - 5/2x

substitute

3x - 4(y) = 36

3x - 4(4 - 5/2x) = 36

3x - 16 + 20/2x = 36

3x - 16 + 10x = 36

13x - 16 = 36

      +16   +16

13x = 52

/13     /13

x = 4

Answer:

Step-by-step explanation:

(C). ASA postulate of congruence.

Answer: B

Step-by-step explanation:

Answer:

14.4

Step-by-step explanation:

It makes the most sense.

Answer:

its 9

Step-by-step explanation:

Answer: alternate interiors: 2 and 7, 6 and 3

alternate exteriors: 1 and 8, 4 and 5

corresponding: 5 and 7, 6 and 8, 1 and 3, 2 and 4

same side interiors: 2 and 3, 6 and 7

same side exteriors: 5 and 8, 1 and 4

Step-by-step explanation:

no explanation needed

Answer:

812.5

Step-by-step explanation:

900÷72=12.5

65×12.5=812.5

Answer:20strikes for 10

Step-by-step explanation:

Answer:

Your answer would be D, the last one

9514 1404 393

Answer:

  22

Step-by-step explanation:

The average of the 6 even integers is the odd integer halfway between the first three and the last three. That average value is 126/6 = 21, so the 4th integer is 21+1 = 22.

_____

All 6 are {16, 18, 20, 22, 24, 26}.

Answer:

10-15. 5-9. 34-56 78-3

Answer:

3x7=21

11+17= 28

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

4 x 2 = 8

3 x 2 = 6

Answer:

x = -2/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2/3(x - 2) = 4x

Step 2: Solve for x

We start with 2/3(x

−

2) = 4r

Distributing the LHS: 2/3x - 4/3 = 4x

subtracting 2/3x from both sides: -4/3 = 10/3x

Multiplying both sides by  3: -4 = 10x

Dividing both sides by  10

: -4/10 = 10x

Then we come up with -2/5.

I think it's the answer anyway:/

Hope it helps.

Answer:

What is their total?

Step-by-step explanation:

If you find the total/budget multiply 5.49 by 3 then subtract that from their total...thats how much they can spend on dessert!

Answer:

15

Step-by-step explanation:

because if you subtract 25 from 40 you will get the answer 15.

Answer:

15

Step-by-step explanation:

15+28=40