What is the solution to the linear equation?
2/5+p=4/5+3/5p

Step-by-step explanation:

Given data

Let the cheese be x

And strawberry be y

So

6x+6y=96-------1

x+4y=52----------2

Solving 1 and 2 simultaneously

Let us multiply equation 2 by 6 we have

6x+6y=96

6x+24y=312

-0-18y=-216

18y=216

y=216/18

y=12

Put y=12 in equation 2

x+4*2=52----------2

x+8=52

x=52-8

x=44

cheese =44

strawberry =12

Answer:

Step-by-step explanation:

The weights in pounds of the defensive linemen were :

254,311, 297, 323, 260, 242, 300, 252, 303, 274

Ascending order: 242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323

The weights in pounds of the offensive linemen were :

310 ,315, 305, 318, 298, 301, 321, 332, 320

Ascending order:298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332

a)

Offensive line       Stem        Defensive line

                               24     |            2

                               25     |            2 , 4

                               26     |            0

                               27     |            4

         8             |      29     |           7

      1,5              |      30     |           0,3

     0,5,8           |      31      |           1

     0,1               |      32     |           3

      2                |      33     |

Five number summary of offensive line:

1) minimum: 298

2) maximum: 332

3)

Lower quartile:298 ,301 ,305 ,310

Q1 is the median of lower quartile

[tex]Q1=\frac{301+305}{2}=303[/tex]

4)

Upper quartile:318 ,320 ,321 ,332

Q3 is the median of upper quartile

[tex]Q3=\frac{320+321}{2}=320.5[/tex]

5)

Q2 is the median

 298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332

Mid value =[tex]\frac{9+1}{2}[/tex]=5th term = 315

Q2=315

Five number summary of defensive line:

1) minimum: 242

2) maximum: 323

3)

Lower quartile:242 ,252 ,254 ,260 ,274

Q1 is the median of lower quartile

Q1=254

4)

Upper quartile:297 ,300 ,303 ,311 ,323

Q3 is the median of upper quartile

Q3=303

5)

Q2 is the median

 242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323

Mid value =\frac{274+297}{2}=285.5

Q2=285.5

c) Mean weight of offensive line = [tex]\frac{298+301+305+310+315+318+320+321+332}{9}=313.33[/tex]

Mean weight of defensive line = [tex]\frac{242+252+254+260+274+297+300+303+311+323}{10}=281.6[/tex]

Mean weight of offensive line is more

So, Offensive group of players tends to be heavier

Answer:

he can make 6 goodie bags

Step-by-step explanation:

Answer:

21/4 x 51/2 - k use the app Photomate if wrong

Answer:will hope it help to find the answer with an unqualified

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the question,

Hence, she worked for a total of (14 + 2 + 13 + 3) hours.

(14 + 2 + 13 + 3) hours = 32 hours

Hence, she worked for a total of 32 hours last week.

To calculate the amount of money Hannah earns per hour for walking dogs, that will be

$93 ÷ 32 hours = $2.9/hour

Hence, Hannah earns $2.9 per hour for walking dogs

For the equation that can be used to determine the amount of money, m, Hannah earns when she works h hours walking dogs,

If she works h hours for working dogs, then she will earn

$2.9 × h = $2.9h

Hence,

m = $2.9h

Where m is the amount of money Hannah earns in dollars

and h is the number of hours she spends walking dogs.

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Explanation:

Consider a triangle with side lengths a,b,c such that a < b < c

a = 3 and b = 19 are the two known sides

Let c be the missing side length

The missing side has the property that...

b-a < c < b+a

19-3 < c < 19+3

16 < c < 22

Meaning that if c is a whole number then it can take on any of these values {17, 18, 19, 20, 21}

So c = 21 is the largest possible third side, where only whole number sides are considered.

We can't have a third side of 22 because the two other sides add to a+b = 3+19 = 22 and a triangle wouldn't form (instead only a straight line would). I recommend cutting out strings of paper trying this out yourself.

---------------

Side note: The inequality b-a < c < b+a is a variation of the triangle inequality theorem.

Answer:

54.7599

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

i just looked it up...

====================================================

Explanation:

Multiply top and bottom of 5/8 by 3 to get 15/24

This means 5/8-5/24 is the same as 15/24-5/24

The denominators are the same, so we can subtract the numerators to have them placed over the common denominator

15/24 - 5/24 = (15-5)/24 = 10/24

Then we reduce by dividing each part of the fraction by the GCF 2

10/2 = 5

24/2 = 12

Meaning that 10/24 = 5/12

Note how multiplying top and bottom of 5/12 by 2 leads to 10/24 again.

So overall,

5/8 - 5/24 = 5/12

i'm not sure how much the lanes are, so i'm gonna list the prices of pairs of shoes so you can just add the price of the lanes and find the answer:

1 pair - 2.95

2 pairs - 5.90

3 pairs - 8.85

4 pairs - 11.80

5 pairs - 14.75

6 pairs  - 17.70

7 pairs - 20.65

8 pairs - 23.60

(thats the highest amount of shoes he could get)

Answer:

[tex]A = 97.50 + H[/tex]

Step-by-step explanation:

Given

Stocks: AT&T and IBM HockUnx

Required

Determine the algebraic expression

Represent AT&T with A and IBM HockUnx with H.

Since AT&T is 97.5 more than IBM HockUnx;

The required expression is:

[tex]A = 97.50 + H[/tex]

Answer:25

Step-by-step explanation:

Answer:

It will pass in between (-8,0) on the x-axis and (0,4) on the y axis

Step-by-step explanation:

Here is the picture, if you ever need help go to desmos.com.

Answer:

Red

Step-by-step explanation:

Blue: $127.75 ÷ 7 = $18.25

Red: $73.52 ÷ 4 = $18.38

Blue's cost per chair: $18.25

Red's cost per chair: $18.38

Answer:

C.50

Step-by-step explanation:

It would be 50 because there are 2 sides to the coin. So if you take 100/2 you get 50. that would be the best estimate answer in my opinion

Number of times the coin will land heads will be 50

Number of trials or observation when each trial has the same probability of attaining one particular value. It determines the probability of observing a specified number of successful outcome in a specific number of trial.

Here , number of times the coin had tosses: 100

P(probability of getting a head in a coin ) : number of time head can come when flipped once / total number of observations

 since , head can come once and there are two possibility either head or tail

hence P= 1/2

this implies number of times heads land up = n*P = 100 *(1/2) = 50

option c) 50

Let us learn more about binomial distribution:

https://brainly.com/question/13634543?referrer=searchResults

#SPJ2

Answer:

[tex]x = 4y[/tex]

Step-by-step explanation:

Given

[tex]y = kx[/tex]

See attachment for options.

Required

Determine which of the options answers the question

Analyzing the option one after the other:

[tex]\frac{x}{y} = 4[/tex]

Multiply through by y

[tex]y * \frac{x}{y} = 4 * y[/tex]

[tex]x = 4y[/tex]

Divide through by 4

[tex]\frac{x}{4} = \frac{4y}{4}[/tex]

[tex]\frac{x}{4} = y[/tex]

This can be rewritten as

[tex]y = \frac{x}{4}[/tex]

[tex]y = \frac{1}{4} x[/tex]

By comparison with [tex]y = kx[/tex]

we have:

[tex]y = y[/tex]

[tex]x = x[/tex]

[tex]k = \frac{1}{4}[/tex]

Hence: this answers the question.

Answer:

D

Explanition:

Answer:

$651.36

Step-by-step explanation:

13.57x48

Answer:

x = 5

Step-by-step explanation:

This uses the altitude on hypotenuse theorem

The 2 triangles formed are similar to the given triangle and to each other.

Δ ADB ~ Δ BDC

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{DB}{DC}[/tex] = [tex]\frac{AD}{BD}[/tex] , substitute values

[tex]\frac{10}{4x}[/tex] = [tex]\frac{x}{10}[/tex] ( cross- multiply )

4x² = 100 ( divide both sides by 4 )

x² = 25 ( take the square root of both sides )

x = [tex]\sqrt{25}[/tex] = 5

Answer:

6.532 x 10^-9

Step-by-step:

1. 0.000000006532

2. move the decimal to where the first number is greater than or equal to 1 and less than 10. In this case we move the decimal to the right 9 times. You will get 6.532

3. We moved the decimal to the right meaning the power to 10 would be a negative number. The number is how many times we moved the decimal by 1 spot, in this problem we moved it 9 times. 6.532 x 10^-9 is what you should get for scientific notation

Answer:

x=2

Step-by-step explanation:

12=12 2=2

the sides have the same x

Answer:

$0.32x + $99 = c (cost)

Step-by-step explanation:

First, the problem tells you that the company is charging $0.32 per pound. The phrase "per pound" tells us that the 32 cents is not a fixed amount, so it must be paired with a variable like x since any item could easily weigh more than one pound when shipping.

Next, the problem says there's a handling fee of $99 for each purchase. This is a fixed amount, meaning there will be no variable with it since this fee will always just cost $99. This fee will be added to the $0.32x, so it can be represented anywhere in the equation like "+ $99" or "$99 +".

Finally, just write each term as an equation and you're all set! There can be multiple ways to write the equation. For example, $0.32x + $99 = c is correct, but $99 + $0.32x = c is also correct!

Answer:

2

Step-by-step explanation:

Slope equation: (y2-y1)/(x2-x1)

y2 = 4, y1 = -2, x2= 5, x1 = 2

4 – -2 = 6

5 - 2=3

6/3 = 2

Answer:

y = 125x + 775

Step-by-step explanation:

you can make coordinate points (x, y) from the graph

x = Number of hours

y = Total Charge

(1, 800) and (2, 925)

slope from 2 points = y2-y1/x2-x1

x1 = 1

y1 = 800

x2 = 2

y2 = 925

925 - 800/2-1 = 125/1

m = 125

using y = mx + b, where m = 125,  and 1 of the coordinate points you can find the y intercept

multiply 125 times 2

925 = 250 + b

subtract 250 from both sides

b = 675

y = 125x + 675

Answer:

27°

Step-by-step explanation:

angle FDG is a alternate interior angle with angle BDG

Answer:

27

Step-by-step explanation:

the explanation is too long... just trust me its 27

Answer:

please spare me

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

(-90) + (-20) + 100 = -10

Hope I Helped! :)

Answer:

The solution is C. -10

Step-by-step explanation:

Before entering the solution, remember the formula first!

Addition

• (-) + (-) = (-)

• (+) + (+) = (+)

Subtraction

• (+) - (+) = can (-) and (+)

• (+) - (-) = (+)

Multiplication

• (-) x (-) = (+)

• (+) x (-) = (-)

Division

• (-) : (-) = (+)

• (+) : (-) = (-)

Solution:

(-90) + (-20) + 100

= -90 - 20 + 100

= -110 + 100

= -10 (the minus number is greater than the positive, then the result is minus)