The perimeter of a triangle is 33 centimeters. The first side is 5 centimeters shorter than the second, and the third is twice the first. Find the length of the sides.

Answer:

The correct option is:  32.4 km/h

Step-by-step explanation:

The fastest recorded speed of a turtle while swimming is 9 m/s.

Now,  9 m/s [tex]=\frac{(9)meters}{(1)second}[/tex]

1 kilometer= 1000 meter

So, 1 meter [tex]= \frac{1}{1000}=0.001[/tex] kilometer

and 9 meters [tex]=(9*0.001)kilometer = 0.009[/tex] kilometer

Now, 1 hour = 3600 seconds

So, 1 second [tex]=\frac{1}{3600}hour[/tex]

Thus, we will get.........

[tex]\frac{(9)meters}{(1)second}=(\frac{0.009}{\frac{1}{3600}}) kilometer/hour =(0.009*3600)=32.4 km/h[/tex]

So, the speed of the turtle will be 32.4 km/h.

Answer:

530

Step-by-step explanation:

The formula for the perimeter is,

P = 2(l + w)

Let's input those numbers,

P = 2(166 + 99)

Add,

P = 2(265)

Multiply,

P = 530

Hope this helps :-)

(3x^2 - 2x)(x + 4)

First step would be: distributive property.

3x^3 + 12x^2 - 2x^2 - 8x

Combine like terms.

3x^3 + 10x^2 - 8x is the simplified form of the functions multiplied.

Your answer is D.

Final answer:

The first step in finding f(x) · g(x) involves multiplying the two functions together, following the distributive property, resulting in terms like 3x³ and 12x².

Explanation:

When finding f(x) · g(x), the first step would involve multiplying the two functions together. This means multiplying each term of f(x) by each term of g(x) using the distributive property.

For f(x) = 3x² - 2x and g(x) = x + 4, the first step would look like:
f(x) · g(x) = (3x² - 2x) · (x + 4) = 3x² · x + 3x² · 4 - 2x · x - 2x · 4 = 3x³ + 12x² - 2x² - 8x

So, the correct option in this case is A) 3x³ + 12x² - 2x² - 8x.

Remember this: 4 or below let it go (round down) 5 or above give it a shove (round up)

remember your only rounding 100,000 place so leave the digit behind that

answer: 8,000,000 since it is 4 or below.

8,500,00 is the answer to the nearest 100,000 because 473 is the hundreds place and since 7 is above 5 you round up

wait bro u in k12 i am

Answer:

The correct answer is option A

The expression 9x⁵y¹⁶ / 45x⁵y⁴ will be equivalent to the expression y¹² / 5. Then the correct option is A.

The equivalent is the functions that are in different forms but are equal to the same value.

The expression is given below.

⇒ 9x⁵y¹⁶ / 45x⁵y⁴

Then the expression can be written as

⇒ 9x⁵y¹⁶ / 45x⁵y⁴

⇒ y¹² / 5

Then the correct option is A.

More about the equivalent link is given below.

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Answer:

Hey there! :) y = 3x - 7

Step-by-step explanation:

Our very first step should be to rewrite our question.

3x = y + 7 ; solve for y.

In order to find out what y is equal to, we must isolate y. We can do this bu subtracting 7 from both sides of the equal sign.

3x - 7 = y + 7 - 7

Simplify.

3x - 7 = y

Therefore, y is equal to 3x - 7.

~Hope I helped!~

To find out the number of cans Naomi needs for her recipe, you divide the total cups of kidney beans she needs (7 1/5) by the number of cups each can holds (1 4/5), which equates to four. Naomi will therefore need four cans of kidney beans to make her baked beans.

In the content loaded Naomi's recipe for baked beans, we know she needs 7 1/5 cups of kidney beans and that each can of kidney beans holds 1 4/5 cups.

To find out how many cans she needs, we'll divide the total cups needed by the amount each can holds. Remember, when dividing fractions, it's helpful to change the division into multiplication by multiplying by the reciprocal of the second fraction.

So, 7 1/5 ÷ 1 4/5 becomes 7 1/5 x 5/9 (as 5/9 is the reciprocal of 1 4/5).

That comes out to 4 when calculation is done. Therefore, Naomi will need 4 cans of kidney beans to make the recipe.

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Answer:

[tex]12x + 9y \geq = 510\\ y\leq 2x\\ y \geq 25[/tex]

Step-by-step explanation:

If x represents the number of lawns and 'y' represents the number of dogs that Fabio walked then:

The amount of money raised by Fabio plus the amount of money raised by Gwen must be greater than or equal to $ 510.

[tex]12x + 9y \geq = 510[/tex]

The number of dogs that Fabio will walk is less than or equal to twice the number of yards of lawn cleared by Gwen.

[tex]y\leq 2x[/tex]

Fabio will walk at least 25 dogs

 [tex]y \geq 25[/tex]

Finally, the restrictions are:

[tex]12x + 9y \geq = 510\\ y\leq 2x\\ y \geq 25[/tex]

-1-10a<-1 or 10+3a≤ -5

-10a<0 or 3a≤-15

a>0 or a≤-5

-1 - 10a < -1    or      10 + 3a ≤ -5

+1            +1         -10           -10

   -10a < 0     or             3a ≤ -15

   [tex]\frac{-10a}{-10} > \frac{0}{-10}[/tex]     or         [tex]\frac{3a}{3} \leq \frac{-15}{3}[/tex]

       a > 0      or          a ≤ -5  

notice the left inequality symbol flipped because we divided by a negative

             -5 ≥ a > 0

Graph: -5 -------------o 0   (dot is filled at -5 and not filled at 0)

[tex]25(g-7)=3\\\\25g-175=3\\\\25g=178\\\\g=\dfrac{178}{25}[/tex]

To solve the question -7 + N = 20, we add 7 to both sides to get N = 27. Among the provided options, the correct answer is N = 27.

To solve for N in the equation -7 + N = 20, you should add 7 to both sides of the equation to isolate the variable N on one side. This gives you the equation N = 20 + 7.

The solution is N = 27 as 20 + 7 results in 27. Therefore, the correct answer among the options provided is N = 27.

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8x − 2(x + 1) = 7x + 8

8x-2x -2=7x+8

6x-2=7x+8

6x-7x-2=8

-x=8+2

-x= 10

X=10/-1

X= -10

180 ≥ 45 + 15x

-45   -45        

135 ≥         15x

  9 ≥  x

   x ≤ 9

Answer: D

66 < 2x + 28

-28          -28

38 <  2x

 19 <  x

  x > 19

Answer: C  the answer could also be B

11 < 5 + 2x

-5  -5        

6 <       2x

3  <  x

x > 3

Answer: E   the answer could also be A, B, and C

-30 ≥ 6 - 4x

 -6   -6      

-36 ≥    -4x

  9 ≤ x

   x ≥ 9

Answer: A

[tex]\frac{x}{12}[/tex] - 4 ≥ 5

      + 4  + 4

[tex]\frac{x}{12}[/tex]    ≥ 9

12[tex](\frac{x}{12})[/tex] ≥ 12(9)

 x   ≥ 108

Answer: B

The sum of the exterior angles of any polygon is 360 degrees. Therefore to find the measure of one exterior angle of any regular (all angles are congruent) polygon, divide 360 by the number of angles. In the case of a regular nonagon, the measure of one exterior angle is 40 degrees: 360 / 9 = 40 degrees. its my best guess

In a regular nonagon, each exterior angle measures 40 degrees.

A regular nonagon is a polygon that has nine sides of equal length and nine interior angles of equal measure.

To determine the measure of each exterior angle for a regular nonagon, you can follow these steps. Recall that a nonagon is a polygon with nine sides. The sum of the exterior angles of any polygon is always 360 degrees.

Divide the sum of the exterior angles (360 degrees) by the number of sides in the nonagon (9) to find the measure of each exterior angle.

Calculate: 360 degrees ÷ 9 = 40 degrees.

Therefore, each exterior angle in a regular nonagon measures 40 degrees. This means that if you were to extend one side of a regular nonagon outward, the angle formed between that extended side and the adjacent side would measure 40 degrees.

Learn more about Nonagon here:

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Whats the two numbers?

Sure, to find the area of a rectangle, we simply multiply its length by its width. Here, the length of the trampoline's jumping surface is given as 10.3 feet, and the width is given as 9.2 feet.

Step 1: Write down the length and width.
Length = 10.3 feet
Width = 9.2 feet

Step 2: Multiply the length by the width.
Area = Length × Width = 10.3 feet × 9.2 feet

Perform this multiplication to get the area.

Result: The area of the jumping surface of the trampoline is 94.76 square feet.

This means that the total surface area upon which someone can jump on the trampoline is 94.76 square feet.

he saves $860 per month

calculate each of his outgoings

rent = [tex]\frac{1}{4}[/tex] × $3600 = [tex]\frac{3600}{4}[/tex] = $900

food = [tex]\frac{2}{5}[/tex] × $3600 = [tex]\frac{2(3600)}{5}[/tex] = $1440

activities = [tex]\frac{1}{9}[/tex] × $3600 = [tex]\frac{3600}{9}[/tex] = $400

savings = $3600 - ( 900 + 1440 + 400 ) = $860

To add the fractions we must make the denominators = 180.

45/180 + 72/180 + 20/180 = 137/180

Expense Total = (137/180) * 3,600 = $2,740

Savings Total = (180 - 137) / 180

Savings = (43/180) * 3,600

Savings = $860

***********DOUBLE CHECK**********************

1/4=.25     2/5 = .40     1/9 = .111111

.25 + .40 + .111111   = .761111

Expenses = .761111 * 3,600 = 2,740.00

Savings = 3,600 - 2,740.00 = 860.00

3 3/4 is the answer i think

Answer:

Step-by-step explanation:

3 3/4 is the answer

We can write the first part of this problem as: What is 6.5% of $29,990.

"Percent" or "%" means "per 100" or "out of 100". Therefore

6.5 hope this helps (:

%

can be written as

6.5

100

.

When dealing with percentages the word "of" means the product of or to multiply.

Let's call the sales tax amount we are looking for

s

.

We can now write the problem as:

s

=

6.5

100

×

$

29990

s

=

$

194935

100

s

=

$

1949.35

The sales tax on the car is: $1,949.35.

The total price of the car is then:

$

29

,

990.00

+

$

1

,

949.35

=

The division problem meeting with the given criteria 'dividend of a/3 and a quotient of 5a2/6b' is '(a/3) ÷ (b/2a) = 5a2/6b'. This is found by using the division formula 'Dividend = Quotient x Divisor' and solving for the divisor.

The problem can be explicitly solved using the general formula for division in variables. Given the dividend is 'a/3' and the quotient is '5a2/6b', you can solve for the divisor using the formula 'Dividend = Quotient x Divisor'. Your unknown in the equation is the divisor and hence rearranging the equation we get, 'Divisor = Dividend / Quotient'. Substituting the given values, the divisor comes out to be 'Divisor = (a/3) / (5a2/6b)' which simplifies to 'b/2a'. Therefore, the division problem matching your criteria would be '(a/3) ÷ (b/2a) = 5a2/6b'.

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Alright, so the scale of meters to feet is about 3.281 feet. So you would do 10.7 times 3.281 and that equals 35.1067 and that can be rounded to 35, so the answer would be C, 35 feet. Hope that Helped :)!

the answer is  x3 + x2 - 7x - 6

step by step explanation

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

Step by step solution :

Step  1  :

Checking for a perfect cube :

1.1    x3+x2-7x-6  is not a perfect cube

Trying to factor by pulling out :

1.2      Factoring:  x3+x2-7x-6

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -7x-6

Group 2:  x3+x2

Pull out from each group separately :

Group 1:   (7x+6) • (-1)

Group 2:   (x+1) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

1.3    Find roots (zeroes) of :       F(x) = x3+x2-7x-6

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -6.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,6

Let us test ....

   P      Q      P/Q      F(P/Q)       Divisor

      -1         1          -1.00          1.00      

      -2         1          -2.00          4.00      

      -3         1          -3.00          -3.00      

      -6         1          -6.00          -144.00      

      1         1          1.00          -11.00      

      2         1          2.00          -8.00      

      3         1          3.00          9.00      

      6         1          6.00          204.00      

Polynomial Roots Calculator found no rational roots

Final result :

 x3 + x2 - 7x - 6

brainliest plzz

The expression −7x + x³ −6 + x² written in standard form is x³ + x² −7x −6.

Standard form for polynomials is written from the highest degree to the lowest degree of the variables. So, the given expression −7x + x³ −6 + x² should be rearranged as follows:

Identify the term with the highest exponent, which is x³.

Then order the remaining terms by decreasing powers of x: x² comes next, followed by −7x.

Finally, position the constant term at the end, which is −6.

Putting it all together, the polynomial in standard form is x³ + x² −7x −6.

Add the ratio:

4 +3 = 7

Divide total by that:

35 / 7 = 5

Multiply each ratio by 5:

4 x 5 = 20

3 x 5 = 15

They had 20 antibiotic prescriptions and 15 tranquilizer prescriptions.

Answer:

C: y + 1 = 6/7(x + 3)

Step-by-step explanation:

(5 + 1)/(4 + 3) = m

6/7 = m

y - 5 = 6/7(x - 4)

y - 5 = 6/7x - 24/7

y = 6/7x + 11/7