Paco, Jayden, Brett each made a stack of superheroes cards. Pacos stack was 0.342 meter high. Jaydens stack was 0.41 meter high. Brett stack was 0.405 meter high. Write a number sentence that compares Jayden stack of cards Brett stack of cards.

Answer: ⇒ =x-2

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Step-by-step explanation:

Compute [tex]\frac{x^3-3x^2+3x-2}{x-2}[/tex] to get the rest of the equation.

[tex]\frac{(x-2)(x^2-x+1)}{x^2-x+1}[/tex]

Then you had to cancel by the common factor of [tex]x^2-x+1[/tex]

[tex]=x-2[/tex]

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The product of -2 1/2 and -3 1/3 is 8 1/3. This is calculated by converting mixed numbers into improper fractions and then multiplying. Multiplying two negative numbers gives a positive result.

To compute the product of -2 1/2 and -3 1/3, first convert these mixed numbers into improper fractions.  -2 1/2 can be converted to -5/2 and -3 1/3 is -10/3.  Then, simply multiply these two fractions:

(-5/2) x (-10/3) = 50/6 = 25/3 or 8 1/3 .So the product of -2 1/2 and -3 1/3 is positive 8 1/3. Remember, multiplying two negative numbers results in a positive product.

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The answer you are looking for would be 63.

63 is greater than 60, but less than 70, and the tens place (6) is double the ones place (3). Thus meaning 63 is the answer.

I hope this helps!

11

11.06

11.56

11.6

is what you are looking for

The order would go 11; 11:06; 11.56; 11.6

In f(x) = 2.20x + 50 the dependent function is the total cost of flooring the carpet.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A flooring company sells stain-resistant carpets for $2.20 per square foot and will install the carpet for an additional fee of $50 which is represented by f(x) = 2.20x + 50.

Here dependent variable is f(x) which is the cost of the complete project depending on the square foot.

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[tex]\dfrac{4}{9}-\left|\dfrac{5}{18}\right|=\dfrac{4}{9}-\dfrac{5}{18}=\dfrac{8}{18}-\dfrac{5}{18}=\dfrac{3}{18}=\dfrac{1}{6}[/tex]

Answer:

5000 square feet of lawn would provide the daily supplies of oxygen for 8 organisms.

Explanation:

 The daily supply of oxygen for a particular multi cellular organism is provided by 625 square feet of lawn

Total area of lawn provided = 5,000 square feet

Number of organism for which provided lawn area supplies oxygen = Total area of lawn provided/ Daily requirement of lawn area for 1 organism.

Number of organism for which provided lawn area supplies oxygen = 5000/625 = 8 organisms.

So 5000 square feet of lawn would provide the daily supplies of oxygen for 8 organisms.

A total of 5,000 square feet of lawn would provide the daily supplies of oxygen for 8 organisms based on the ratio given.

The question can be solved using the concept of ratios. The ratio of lawn to organisms is 625 square feet to 1 multicellular organism. So, if we have 5,000 square feet lawn area, we can find how many organisms it can support by setting up a proportion and solving for the unknown number of organisms.

Let's denote the unknown number of organisms as X. The proportion would then be: 625/1 = 5000/X.

To solve this equation for X, we can cross-multiply and divide. So, X = 5000 / 625 = 8 multicellular organisms.

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Let the speed of the boat in still water = X

The current is 3 mph, so the speed of the boat going upstream would be x-3

Speed of the boat going down stream would be x +3

The trip upstream is 26 / x-3

The trip downstream is 38 / x+3

Set them to equal and solve for x:

26/x-3 = 38/x+3

Multiply both sides by (x+3)(x-3):

38(x-3) = 26(x+3)

Simplify:

38x - 114 = 26x+78

Subtract 26x from each side:

12x -114 = 78

Add 114 to each side:

12x = 192

Divide both sides by 12:

x = 192 / 12

x = 16

The speed is 16 miles per hour.

To determine the boat's speed in still water, an equation is set up that relates the upstream and downstream times, given that the current influences the boat's effective speed by 3 mph. Solving this equation yields a speed of 16 mph for the boat in still water.

To find the speed of the boat in still water, we need to account for the effect of the current on the boat's speed when going up and down the river. Let the speed of the boat in still water be v mph.

When the boat is going upstream (against the current), its effective speed is (v - 3) mph because the current slows the boat down by 3 mph. When the boat is going downstream (with the current), its effective speed is (v + 3) mph because the current speeds the boat up by 3 mph.

Since the boat covers 26 miles upstream and 38 miles downstream in the same time, we can set the time equal for both scenarios:

Time = Distance / Speed

By equating the two times, we get:

26 / (v - 3) = 38 / (v + 3)

To solve for v, cross-multiply and simplify:

26(v + 3) = 38(v - 3)

26v + 78 = 38v - 114

12v = 192

v = 192 / 12

v = 16 mph

Therefore, the speed of the boat in still water is 16 mph.

The colors on the image should match the correct blank spots on the proof. Please let me know if you disagree or is confused by my choices.

Final answer:

The probability that neither of them suffer from myopia can be calculated by finding the probability that one individual does not suffer from myopia and then multiplying that probability by the probability that the second individual also does not suffer from myopia.

Explanation:

The probability that neither of them suffer from myopia can be calculated by finding the probability that one individual does not suffer from myopia and then multiplying that probability by the probability that the second individual also does not suffer from myopia.

The probability that one individual does not suffer from myopia is 1 - 0.381 = 0.619. Since the two individuals are chosen randomly and independently, the probability that the second individual does not suffer from myopia is also 0.619.

Therefore, the probability that neither of them suffer from myopia is 0.619 * 0.619 = 0.382161.

Answer:

a. $36

b. $336

Step-by-step explanation:

The simple interest on a amount is:

A=P(1+rt)

A is the amount after interest, P is the amount before interest, r is the rate of interest and t is the time in years.

a.

We can use the formula:

The interest earned is the amount after interest minus the original amount before interest:

$36 of interest was earned

b.

The balance of the account is $336 worked out in a

This is an exponential decay because it decreases by 1/2 each time

Answer:

The answer is exponential decay.

Step-by-step explanation:

At a chess tournament the number of competitors in each round is 50% of the number of competitors in the previous round.

So, the relationship that most appropriately models this situation is exponential decay.

Exponential decay is the process of reducing any given amount by a fixed or gradual percentage rate over a period of time.

It can be written like [tex]y= a(1-b)^{x}[/tex]

Where, y is the final amount

a is the original amount

b is the decay factor

x is the amount of time that has passed.

Answer:

The number of melon was 3 and the number of apples was 45.

Step-by-step explanation:

1. Melons cost $20 per crate and apples cost $8 per create. If the total was 48 crates for $420, you can make the following system of equations, where [tex]x[/tex] is the number of melons and [tex]y[/tex] is the number of apples:

[tex]\left \{ {{x+y=48} \atop {20x+8y=420}} \right.[/tex]

2. By applying the Method of substitution, you can solve for [tex]y[/tex] in the first equation and substitute it into the second one to find [tex]x[/tex]. Then, you can substitute the value of [tex]x[/tex] into the first equation to find [tex]y[/tex]:

[tex]y=48-x[/tex]

[tex]20x+8(48-x)=420\\20x+384-8x=420\\12x=36\\x=3[/tex]

[tex]3+y=48\\y=45[/tex]

Final answer:

The order consisted of 3 crates of melons and 45 crates of apples.

Explanation:

To solve the problem of determining the number of crates of melons and apples based on the total cost and quantity, we can use a system of linear equations.

Given that melons cost $20 per crate and apples cost $8 per crate, with a total order of 48 crates for $420, we can set up the following equations:

Solving this system of equations:

Thus, the order consisted of 3 crates of melons and 45 crates of apples.

Step 1. Factor out the common term 2

n - 2 = 2(5n + 2)/2

Step 2. Cancel 2

n - 2 = 5n + 2

Step 3. Subtract n from both sides

-2 = 5n + 2 - n

Step 4. Simplify 5n + 2 - n to 4n + 2

-2 = 4n + 2

Step 5. Subtract 2 from both sides

-2 - 2 = 4n

Step 6. Simplify -2 - 2 to -4

-4 = 4n

Step 7. Divide both sides by 4

-1 = n

Step 8. Switch sides

n = -1

To find the value of n, rearrange the equation and simplify to solve for n.

To find the value of n, we need to solve the given equation. First, distribute the 2 on the right side:

n - 2 = 10n + 4

Next, subtract 10n from both sides:

n - 10n - 2 = 4

Combine like terms:

-9n - 2 = 4

Then, add 2 to both sides:

-9n = 6

Finally, divide both sides by -9 to solve for n:

n = -6/9 which simplifies to n = -2/3.

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Answer:

The second gear will complete 75 complete revolutions

Step-by-step explanation:

- There are two connected gears

- One has 60 teeth and the other has 40 teeth

- The two gears have different revolutions depends on the number of

  their teethes

- They do the same job

- The relation between them is

   [tex]n_{1}*c_{1}=n_{2}*c_{2}[/tex], where n is the number of the complete

   revolutions and c is the number of the teeth

- The gear which has less teethes makes more complete revolutions

∵ [tex]n_{1}[/tex] = 50

∵ [tex]c_{1}[/tex] = 60

∵ [tex]c_{2}[/tex] = 40

- Substitute these values in the rule below

∵ [tex]n_{1}[/tex] × [tex]c_{1}[/tex] = [tex]n_{2}[/tex] × [tex]c_{2}[/tex]

∴ 50 × 60 = [tex]n_{2}[/tex] × 40

∴ 3000 = 40 [tex]n_{2}[/tex]

- Divide both sides by 40

∴ [tex]n_{2}[/tex] = 75 complete revolutions

The second gear will complete 75 complete revolutions

12/4=x/20

x=60

60 people are needed

4x3=12 right. Then 20x3=60.

m + 3 = 7

m = 4

m + 3 = -7

m = -10

m = 4, -10

The given equation is |m + 3|= 7. The values of m are 4 and -10.

An equation represents the equality of two or more mathematical expressions.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

The given equation is |m + 3|= 7.

m + 3 = 7

m = 4

m + 3 = -7

m = -10

Hence, m = 4, -10

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what is the expression

Answer:

A. 5

Step-by-step explanation:

Let n = number

(3n)+6 = 5n-4

Subtract 3n from each side

(3n)-3n+6 = 5n-3n-4

6 = 2n-4

Add 4 to each side

6+4 = 2n -4+4

10 = 2n

Divide by 2

10/2 = 2n/2

5 =n

The answer you are looking for is 2/3.

When adding or subtracting fractions, they must have the same denominator. To make 1/6 and 1/2 have the same denominator, you must multiply 1/2 by 3/3 straight across. This gives you 3/6 which you can now add 1/6 to to get 4/6. 4/6 can be simplified down to 2/3 by dividing by 2/2. Thus making 2/3 the answer.

I hope this helps!

To add one sixth and one half, convert them to have the same denominator, resulting in 1/6 plus 3/6 (or 4/6), which simplifies to two thirds.

When adding fractions such as one sixth and one half, it's essential to have a common denominator. To find a common denominator for 1/6 and 1/2, we need to think about the multiples of both 6 and 2. The smallest common multiple is 6, so we convert 1/2 into a fraction that has 6 as the denominator. The fraction 1/2 is equivalent to 3/6 since 2 multiplied by 3 equals 6. Now we can add the fractions:

Therefore, one sixth plus one half is equal to two thirds.

*(The first order pair)*

[tex]y=-9(0)+3[/tex]                   Substitute [tex]0[/tex] to [tex]y=-9(0)+3[/tex]

[tex]y=0+3[/tex]                        Multiply [tex]-9[/tex] to [tex]0[/tex]

[tex]y=3[/tex]                            Add [tex]3[/tex] to [tex]0[/tex]

*(Answer)*= [tex](0, 3)[/tex]

*(The second order pair)*

[tex]y=-9(3)+3[/tex]                   Substitute [tex]3[/tex] to [tex]y=-9(3)+3[/tex]

[tex]y=-27+3[/tex]                        Multiply [tex]-9[/tex] to [tex]3[/tex]

[tex]y=-24[/tex]                            Subtract [tex]3[/tex] to [tex]-27[/tex]

*(Answer)*= [tex](3, -24)[/tex]

*(The third order pair)*

[tex]30=-9x+3[/tex]                   Substitute [tex]30[/tex] to [tex]30=-9x+3[/tex]

[tex]27=-9x[/tex]                        Subtract [tex]3[/tex] to [tex]30[/tex]

[tex]x=-3[/tex]                           Divide [tex]-9[/tex] to [tex]27[/tex]

*(Answer)*= [tex](-3, 30)[/tex]

Hope this helps

The person who answer: BangtanBoyScouts

16)

15x + 7y = -5    ⇒  -10(15x + 7y = -5)   ⇒   -150x - 70y =   50

11x + 10y = -28 ⇒    7(11x + 10y = -28)  ⇒     77x + 70y = -196

                                                                    -73x           = -146

                                                                                   x = 2

11x + 10y = -28

11(2) + 10y = -28

 22 + 10y = -28

         10y = -50

             y = -5

Answer: x = 2, y = -5

18)

7x - 4y =  1     ⇒   1(7x - 4y =  1)   ⇒    7x  -  4y =  1

5x + 2y = -9   ⇒ 2(5x + 2y = -9)  ⇒ 10x  + 4y = -18

                                                          17x          = -17

                                                                      x = -1

 7x - 4y =  1

7(-1) - 4y =  1

 -7  - 4y = 1

       -4y = 8

          y = -2

Answer: x = -1, y = -2

a=2

b=6

c=-6

You can use the substitution method to solve.

Okay so fiquring out 1/2 of 1/4 is simple got to the third diagram since it has been cut to match the 1/2.  1/3 of 3/8 would be the first diagram since the squares have been sliced in half.

First open the bracket by multiplying with -2

-2x - 26 +9x = 4

Solving like terms

7x - 26 = 4

Adding 26 to both sides

7x - 26 +26 = 4+26

7x = 30

X = 30/7

[tex]-2(x+13)+9x=4\\\\-2x-26+9x=4\\\\7x=30\\\\x=\dfrac{30}{7}[/tex]

The equation for this is x2-x1/y2-y1 and so you plug in the numbers and get -5/7, and that is your slope.

a 1.25L Coca Cola that cost $1.29

Unit rate means we need to find the rate of 1 liter of Coca Cola

1.25 L Coca Cola =  $1.29

1 L of Coca Cola = ?

To find 1 liter of Coca cola divide the cost by liter, so we divide 1.29 by 1.25

[tex]\frac{1.29}{1.25}[/tex]

1.032

So the cost of 1 liter of Coco Cola = $1.032

The first integer (x) is equal to the consecutive even integers, x+2, x+4.

x = (x+2) + (x+4)

x = 2x + 6

x - 6 = 2x

x = -6 (First integer)

+2

-4 (Second integer)

+4

-2 (Third integer)

Integers: -6, -4, -2

Equation: x = (x+2) + (x+4)

Answer:

2x+2=x+4

Step-by-step explanation:

[tex]\{0,1,5,7\}\cap\{0,5,7,9\}=\{5,7\}[/tex]