Alligator 1 initial weight is 4 lbs. the rate of growth is 2 lbs. per month. Alligator 2 initial weight is 8 lbs. the rate of growth is 1 lb per month. After how many months will both alligators weigh the same amount?

Answer:

The polygon has 5 sides. A polygon with 5 sides is a

pentagon.

If you draw the line containing the side  it will

contain some points in the interior of the polygon. So,

the polygon is concave. Since it is concave, it is

irregular.

Step-by-step explanation:

Answer: A

Cause 10 divided by 1 is 10

Answer:

C. $14,000

Step-by-step explanation:

If he is now being charged an annual premium of $720.90. The increase in his home's value is $14,000.

Increase in home value=[(720.90/0.27)-(683.10/0.27)]×$100

Increase in home value=(2670-2530)×$100

Increase in home value=140×$100

Increase in home value=$14,000

Therefore the increase in his home's value is $14,000.

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Answer:

A = 3 and B = 2

Step-by-step explanation:

Here, we are interested in giving the values for A and B

We are told that there are three cartons, with 100 gun balls in each.

The total number of gum balls Jackson have will be 100 + 100 + 100= 300

Now, we want to express 300 in the form a•10^b

Thus;

300 = 3 * 100

3 * 100 = 3 * 10^2

where A = 3 and B = 2

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

let the original fraction be

[tex]\frac{n}{n+1}[/tex] ( with denominator 1 more than numerator )

Subtracting 3 from numerator/ denominator gives

[tex]\frac{n-3}{n+1-3}[/tex] = [tex]\frac{n-3}{n-2}[/tex]

Given that the fraction is now equivalent to [tex]\frac{1}{2}[/tex] , then

[tex]\frac{n-3}{n-2}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2(n - 3) = n - 2, distribute left side

2n - 6 = n - 2 ( subtract n from both sides )

n - 6 = - 2 ( add 6 to both sides )

n = 4

and n + 1 = 4 + 1 = 5

Thus original fraction is [tex]\frac{4}{5}[/tex]

Answer:

d

Step-by-step explanation:

Answer:

a = - c

Step-by-step explanation:

2a - 2c = 4a

- 4a         - 4a

- 2a - 2c = 0

+ 2c        + 2c

- 2a = 2c

/-2      /-2

a = - c

Answer:

[tex]\boxed {a = -c}[/tex]

Step-by-step explanation:

Solve for the value of [tex]a[/tex]:

[tex]2a - 2c = 4a[/tex]

-Take [tex]4a[/tex] and subtract it from [tex]2a[/tex]:

[tex]2a - 2c - 4a = 4a - 4a[/tex]

[tex]-2a - 2c = 0[/tex]

-Add both sides by [tex]2c[/tex]:

[tex]-2a - 2c + 2c = + 2c[/tex]

[tex]-2a = 2c[/tex]

-Divide both sides by [tex]-2[/tex] and dividing [tex]-2[/tex] undoes the multiplication by [tex]-2[/tex]:

[tex]\frac{-2a}{-2} = \frac{-2c}{-2}[/tex]

[tex]\boxed {a = -c}[/tex]

Therefore, the value of [tex]a[/tex] is [tex]-c[/tex].

Answer:

-x + 9

Step-by-step explanation:

When there is a - in front of an expression in parentheses, change the sign of each term in the expression.

Answer:

78

Step-by-step explanation:

Multiply 13 by 6

Answer:

8 (2x +3x +2 ) = -4x +124 = x = 122/9

Answer:

[tex] \frac{27}{11} [/tex]

Step-by-step explanation:

8 (2x + 3x + 2) = -4x + 124

16x + 24x + 16 = -4x + 124

16x + 24x + 4x = 124 - 16

44x = 108

x =

[tex] \frac{108}{44} [/tex]

= simplifying

[tex] \frac{27}{11} [/tex]

12427÷349

35.60744985673352

= 35.61(2d.p)

Explanation:

When you divide it you get 35.60744985673352

To leave it in to 2 decimal place, you are to consider the the third number after the point which in this case is 7. So you check if it is greater than or equal to or less than 5. If it is greater than or equal to 5 you carry forward 1 to the next digit to the left which is 0 in this case which will give you 1, then you retrieve the number plus the first two decimals after the point to get 35.61(2d.p).

Answer:

2.25

Step-by-step explanation:

5.20 * 1.06 = 5.512

11.70 - 5.512 = 6.188

6.188 / 2.75 = 2.25018

Round to the nearest hundredth which equals....

2.25

Answer:

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

Answer:

h

Step-by-step explanation:

Scientific notation is a way of writing really big or really small numbers that take a lot of work to write out fully. Scientific notation is used because it's tiring to write out the numbers, which are usually very long. It's a way to shorten them while still knowing what the original number is.

Answer:

You have to convert 4 and 1/4 to 17/4. Then, the LCM of 3 and 4 is 12, so multiply 17/4 by 3/3 and 2/3 by 4/4 to get 51/12 and 8/12. Now, subtract.

51/12 - 8/12 = 43/12. That is the final answer.

Answer: x=9/8

Let's solve your equation step-by-step.

x(8)=9

Step 1: Simplify both sides of the equation.

8x=9

Step 2: Divide both sides by 8.

8x/8=9/8

x=9/8

Answer:

(-7;8)

..........................

The image point will be (-7, 8)

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions. Since it is just moving of the shape from one place to other, there is no change in the shape.

The direction or the path of this change in position of the object can vary i.e., initially the object can move left, then turn right, and so on. While translating, all the points on the shape will shift by the same number of units. For example, if one point shifts 2 units to the right, then all the points will also move 2 units to the right.

Given:

coordinate ( -2, 5)

To translate 5 units left the x- coordinate will be

= -2 -5

= -7

and, now to shift 3 units up y- coordinate will be

=3+5

=8

Hence, the image point will be ( -7 , 8)

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Answer:

9/12

Step-by-step explanation:

Answer:

9/12

Step-by-step explanation:

Just as the question says, you have to rewrite 3/4 with a denominator of 12, and you can do that by multiplying both the numerator (top) and denominator (bottom) by 3:

3/4 * 3 = 3(3)/4(3) = 9/12

Hope this helps :)

Answer:

[tex] \huge \: t = \frac{13}{2} [/tex]

Step-by-step explanation:

[tex]10t - 5 = 60[/tex]

Using the addition property add 5 to both sides of the equation

That's

[tex]10t - 5 + 5 = 60 + 5 \\ 10t = 65[/tex]

Divide both sides by 10

[tex] \frac{10t}{10} = \frac{65}{10} \\ t = \frac{65}{10} [/tex]

Reduce the fraction with 5

We have the final answer as

[tex]t = \frac{13}{2} \\ [/tex]

Hope this helps you

Answer:

t = 6.5

Step-by-step explanation:

10t - 5 = 60

Add 5 to each side

10t -5+5 = 60+5

10 t = 65

Divide each side by 10

10t/10 = 65/10

t = 6.5

Answer:

step one is the identitey  property step 2 is the communative property step 3 is the associative property

Step-by-step explanation:

Answer: [tex]\dfrac{25}{56}[/tex]

Step-by-step explanation:

Given: P(dot sent) = [tex]\dfrac37[/tex]

and P(dash sent) = [tex]\dfrac47[/tex]

P(dot received) = P(dot received ∩ dot sent)

+ P(dot received ∩ dash sent)

= P(dot received | dot sent)P(dot sent)  + P(dash received | dash sent)P(dash sent)   [By conditional probability formula]

[tex]=\dfrac78\times\dfrac37+\dfrac18\times\dfrac47=\dfrac{25}{56}[/tex]

Hence, the probability that the received symbol is a dot = [tex]\dfrac{25}{56}[/tex]

Answer:

4w - 10

Step-by-step explanation:

Step 1: Write expression

-2(w + 5) + 6w

Step 2: Distribute -2

-2w - 10 + 6w

Step 3: Combine like terms

4w - 10

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3x + .8 = 18.8

subtract .8

3x = 18

divide by 3

x = 6

he has 42.87 correct, you have to find the percentage of one number in relation to another with the formula percentage = ( number you want to find the percentage for ÷ total) × 100. Move the decimal point two places to the right to convert from a decimal to a percentage

Answer:

10p +7t

Step-by-step explanation:

Hope this helps.

Answer:

9b y= 15.109t + 56.4

9c 116.836 in 4 hours

Step-by-step explanation:

I used a regression calculator for the first one.

I multiplied 15.109 and 4 because t is the time.

add 56.4