Amy wants to enlarge a rectangle with sides 9 and 12 inches. If
the shorter side of the new rectangle is 135 inches, how long will
the longer side be?

Answer: 8 chess matches and 11 cribbage matches.

Step-by-step explanation:

60 people, 4 people play a match of cribbage, so if theres 3 more  matched than chess we can subtract that from the total 60 to get the answer. 3x4=12 60-12=48, 2 people per chess game and 4 people per cribbage game add them 6, 48 divided by 6 since its an even amount now, 48/6=8 add 8 matched to the remaining 3 for the cribbage.

8 chess games are being played while 11 cribbage games are being played.

Let x represent the number of chess games and y represent the number of cribbage games.

Since there are 60 people, chess is a two-player game and cribbage is a four-player game, hence:

2x + 4y = 60  (1)

There are 3 more games of cribbage than games of chess, hence:

y = x + 3

-x + y = 3    (2)

Solving equations 1 and 2 simultaneously gives:

x = 8, y = 11

Therefore 8 chess games are being played while 11 cribbage games are being played.

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3a^4b^3

This is the answer

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

6(5 - 2x) + 12 = -66

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

6(5 - 2(9)) + 12 = -66

6(5 - 18) + 12 = -66

6(-13) + 12 = -66

-78 + 12 = -66

-66 = -66

Answer:x = 9/12

Step-by-step explanation:

Answer:

The answer would be QRTS.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The account balance after transactions will be $90.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

The account started with a balance of $125 and

deposit $50,

deposit $35

withdrawal -$70

withdrawal -$50

Now,

Deposit in account means to add the amount and withdrawal means to remove money from account.

Since, The account started with a balance of $125.

After deposit $50,

The account balance = $125 + $50 = $175

Again after deposit $35;

The account balance = $175 + $35 = $210

After withdrawal -$70;

The account balance = $210 - $70 = $140

Again after withdrawal -$50;

The account balance = $140 - $50 = $90

Thus, The account balance after transactions will be $90.

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#SPJ5

Answer:

D

Step-by-step explanation:

a + c = r - d

a = r - d - c

Answer:

Step-by-step explanation:

Given

Solving for y

Answer:

93,500 or 9.35 x 10^4

Step-by-step explanation:

(8.5 x 10^3)(1.1 x 10^1)

8,500 x 11

8,000 x 10 = 80,000

8,000 x 1 = 8,000

500 x 10 = 5,000

500 x 1 = 500

93,500 or 9.35 x 10^4

Answer:

Yes the table shows a probability distribution

The mean is [tex]E(X) = 1.636 [/tex]

The  standard deviation is   [tex]\sigma = 0.845 [/tex]

Step-by-step explanation:

From the question we are told that

The data given is

x 0 1 2 3

P(x) 0.087 0.344 0.415 0.154

Generally we can evaluate [tex]P(x) * x[/tex] as

[tex]P(x) * x[/tex] 0 (1 * 0.344 ) (2 * 0.415) (3 * 0.154 )

=> [tex]P(x) * x[/tex] 0 0.344 0.830 0.462

Generally we can evaluate [tex]P(x) * x^2 [/tex] as

[tex]P(x) * x^2 [/tex] 0 [tex ](1^2 * 0.344 )[/tex] [tex ](2^2 * 0.415)[/tex] [tex ](3^2 * 0.154 )[/tex]

=> [tex]P(x) * x^2 [/tex] 0 [tex] 0.344 [/tex] [tex ]1.66 [/tex] [tex]1.386[/tex]

Generally the mean is mathematically represented as

[tex]E(X) = \sum [x* P(x)][/tex]

[tex]E(X) = 0 + 0.344+ 0.830+0.462 [/tex]

[tex]E(X) = 1.636 [/tex]

Generally the standard deviation is mathematically represented as

[tex]\sigma = \sqrt{V(X)}[/tex]

Here [tex]V(X)[/tex] is the variance which is mathematically represented as

[tex]V(X) = [E(X^2) ]- [E(X)]^2[/tex]

Here

[tex]E(X^2) = \sum [x^2 * P(x)][/tex]

[tex]E(X) =0 +0.344+1.66+1.386 [/tex]

[tex]E(X) = 3.3900 [/tex]

So

[tex]V(X) = 3.3900 - [1.636]^2[/tex]

[tex]V(X) = 3.3900 - 2.6764[/tex]

[tex]V(X) = 0.7136[/tex]

So

[tex]\sigma = \sqrt{0.7136}[/tex]

[tex]\sigma = 0.845 [/tex]

Answer/Step-by-step explanation:

1. Perimeter of the building = sum of all the length of the outer borders surrounding the building = 1,718 ft

Thus:

4x - 6 + 2x + 3x + 2(3x + 4) + 3x + 2x + x + x + x + 2x + 4x - 6 + 2(3x + 4) + 4x - 6 + 3x = 1,718

Open the Parentheses

4x - 6 + 2x + 3x + 6x + 8 + 3x + 2x + x + x + x + 2x + 4x - 6 + 6x + 8 + 4x - 6 + 3x = 1,718

Combine like terms

42x - 2 = 1,718

42x = 1,718 + 2

42x = 1,720

x ≈ 41

2. Missing perimeter of Building = 2x + 2x + 4x - 6

Simplify

= 8x - 6

Plug in the value of x

= 8(41) - 6

= 322 ft

3. Area of English Building = length * width

= (4x - 6 + 2x)(3x)

Simplify

= (6x - 6)(3x)

Plug in the value of x

= (6(41) - 6)(3(41))

= (246 - 6)(123)

= (240)(123)

= 29,520 ft²

Answer:nbdbndndndnd

Bsbsnsndndnsh

Step-by-step explanation:

Dnndbdndnndndndnnd

Answer:

$10

Step-by-step explanation:

To calculate markup, you take you cost and then multiply it by the markup percentage (in decimal form), then add that number to the original cost.  So the formula will look like this.

Selling Price = Cost + (Cost X Markup Percentage)

Let's use X to be the selling price you are looking for.

X = $7 + ( $7 x 0.43)   0.43 is the decimal value of 43 percent

Work on the numbers in parentheses first:

$7 x 0.43 = $ 3.01

now add that to the original cost:

$7 + $ 3.01 = $ 10.01

Round to the nearest dollar and you have $10.

The manager made the mistake of multiplying the markup percentage and the original cost.

$7 x 0.43 = $ 3.01

He subtracted the markup instead of adding it to the original cost.

Answer:

0.25 cents is the answer

Answer:   25 cents

Step-by-step explanation:

Hi!

Your answer would be: $159.03.

Reason Being: $1.35 times 118 equals $159.03.

Hope this helps!

Answer:

y = -1/2x +6

Step-by-step explanation:

We can use the slope intercept form of a line

y = mx+b where m is the slope and b is the y intercept

y = -1/2x +b

Substitute the point into the equation

9 = -1/2 (-6) +b

9 = 3+b

9-3 =b

6 =b

y = -1/2x +6

Answer:

um... what.

WHAT'S THE QUESTION

bruuh

bruh

Step-by-step explanation:

Answer

4 is the answer

Step-by-step explanation:

The HCF of 4,8,20 is 4

Answer:

a. Plan B; $4

b. 160 mins; Plan B

Step-by-step explanation:

a. Cost of Plan A for 80 minutes:

Find 80 on the x axis, and trave it up to to intercept the blue line (for Plan A). Check the y axis to see the value of y at this point. Thus:

f(80) = 8

This means Plan A will cost $8 for Rafael to 80 mins of long distance call per month.

Also, find the cost per month for 80 mins for Plan B. Use the same procedure as used in finding cost for plan A.

Plan B will cost $12.

Therefore, Plan B cost more.

Plan B cost $4 more than Plan A ($12 - $8 = $4)

b. Number of minutes that the two will cost the same is the number of minutes at the point where the two lines intercept = 160 minutes.

At 160 minutes, they both cost $16

The plan that will cost less if the time spent exceeds 160 minutes is Plan B.

60-30=30×40=70-80=-10

if the number of negatives are even they are always positive. if the number is odd of negatives. it always is negative. -- = + --- =-

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

➷ [tex]\boxed{-10}[/tex]

[tex]60+(-30)+40-80[/tex]

[tex]= 30 + 40 - 80[/tex]

[tex]= 70 - 80[/tex]

[tex]= -10[/tex]

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

Answer:

The y-intercept is the flat fee for the pizza - $5. The slope is the charge for each additional topping - $.50

Step-by-step explanation:

c=.5m+5

y=mx+b - slope intercept formula

In the slope-intercept formula, the 'b' is the y-intercept. We know that would be the flat fee because there is no variable attached to it.

In that formala, m is the slope and is attached to a variable, x. This problem uses the variable m instead of x, but we can see that the slope for .5m would be .5. Thus, that's the charge for the toppings. Hope that helps!

Answer:

no

Step-by-step explanation:

unless it has a - in front of it no

Answer:

no

Step-by-step explanation:

Step-by-step explanation:

Equation at the end of step 1

(3x2 - 38x) + 24 = 0

STEP2:Trying to factor by splitting the middle term

 2.1     Factoring  3x2-38x+24 

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -38x  its coefficient is  -38 .

The last term, "the constant", is  +24 

Step-1 : Multiply the coefficient of the first term by the constant   3 • 24 = 72 

Step-2 : Find two factors of  72  whose sum equals the coefficient of the middle term, which is   -38 .

     -72   +   -1   =   -73     -36   +   -2   =   -38   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -36  and  -2 

                     3x2 - 36x - 2x - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                    3x • (x-12)

              Add up the last 2 terms, pulling out common factors :

                    2 • (x-12)

Step-5 : Add up the four terms of step 4 :

                    (3x-2)  •  (x-12)

             Which is the desired factorization

Equation at the end of step2:

(x - 12) • (3x - 2) = 0

STEP3:Theory - Roots of a product

 3.1    A product of several terms equals zero. 

 When a product of two or more terms equals zero, then at least one of the terms must be zero. 

 We shall now solve each term = 0 separately 

 In other words, we are going to solve as many equations as there are terms in the product 

 Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

 3.2      Solve  :    x-12 = 0 

 Add  12  to both sides of the equation : 

                      x = 12

Solving a Single Variable Equation:

Step-by-step explanation:

[tex]if \: (x + 12) = (3x + 2) \\ 12 - 2 = 3x - x \\ 2x = 10 \\ x = 5 \\ \\ \\ if(x + 12)(3x + 2) = 0 \\ x + 12 = 0 \: \: \: or \: \: \: 3x + 2 = 0 \\ x = - 12 \: \: \: or \: \: \: x = - \frac{2}{3} [/tex]

Answer:

k=  5 over 3  =1.667

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (3)/(2)-((9)/(10)*k)=0

simplify 9/10

 3      9

 — -  (—— • k)  = 0  

 2     10

simplify 3/2

 3    9k

 — -  ——  = 0  

 2    10

   Find the Least Common Multiple

     The left denominator is :       2  

     The right denominator is :       10

Least Common Multiple:

     10

Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

  Left_M = L.C.M / L_Deno = 5

  Right_M = L.C.M / R_Deno = 1

Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      3 • 5

  ——————————————————  =   —————

        L.C.M              10  

  R. Mult. • R. Num.      9k

  ——————————————————  =   ——

        L.C.M             10

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3 • 5 - (9k)     15 - 9k

————————————  =  ———————

     10            10  

Pull out like factors :

  15 - 9k  =   -3 • (3k - 5)

-3 • (3k - 5)

 —————————————  = 0  

      10      

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 -3•(3k-5)

 ————————— • 10 = 0 • 10

    10    

Now, on the left hand side, the  10  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -3  •  (3k-5)  = 0

Solve :    -3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    3k-5 = 0  

Add  5  to both sides of the equation :  

                     3k = 5

Divide both sides of the equation by 3:

                    k = 5/3 = 1.667

one solution was found

k = 5/3 = 1.667

hope it helps sry its so long

Answer:

536.55x

Step-by-step explanation:

I hope this helps :)

Step-by-step explanation:

90×3×-5×-2/3×-5

2700/-15

-180

Answer:

Step-by-step explanation:

If 0.7x represents the discounted price, then another way to show this is:

x+70%

[tex]\frac {a} {x} = \frac {70} {100}[/tex]

x-30%

x÷0.3