In a given rectangle, the shorter side is 3 units less than the longer side. If we let the longer side be represented by the variable x, create an expression that represents the perimeter of the rectangle. (P=2L+2W)

Answer:

18 Milk Chocolates: 24 dark chocolates

Step-by-step explanation:

The total number of chocolates are 42

So you have Milk: Dark, in the ratio 3:4

You do 3+4 which = 7

You then divide the total ratio outcome by the total number

So you do, 42/7 =6

You then do 6 and put this into the ratio

So you do, 3x6 and 4x6, which = 18 and 24

To check if your answers correct add the ratio outcomes

And If you add 18 and 24 together, you should get your beginning total of 42

Answer:

There are 26 glass bears in each group and there are 2 equal groups.

Step-by-step explanation:

i hope that help but your problem was kind of werid at first but i foud the answer i hope you enjoy!!!...

Answer:

6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

We can factorize 180 to get 2^2*3^2*5.

We know that 2^2 and 3^2 are squares so we can remove them from under the radical.

So, the simplified square root would be 6[tex]\sqrt{5}[/tex]

To remove perfect squares inside a square root, we simplify the number using prime factorisation. In this case, √180 simplifies to 6√5.

The given value is √180. To simplify it or remove perfect squares, we have to find the prime factors of the number under the square root. We can write 180 as 2 * 2 * 3 * 3 * 5. In square root simplifications, we usually group the factors into pairs, because a pair of same factors gives one factor outside the square root. Here, 2 * 2 becomes 2 and 3 * 3 becomes 3. There is an extra 5 inside the square root that cannot come out because it doesn't have a pair. Hence, √180 simplifies to 6√5.

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Answer: 1,500

Step-by-step explanation:

500 times 300 is 150,000

Divide the product by 100 is 1,500

Answer:

9

Step-by-step explanation:

The value of c is found by adding a (2) and b (7) together, which equals 9.

The question a + b = c is asking for the value of c when a is 2 and b is 7. To find c, we simply add the values of a and b together. In mathematics, this is known as solving for the unknown variable.

In this case:

a + b = c
2 + 7 = c
c = 9

Therefore, the value of c when a is 2 and b is 7 is 9.

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Answer:

[tex]x=36\°\\\angle P=71 \°,\angle N=73 \°,\angle M=36 \°[/tex]

Step-by-step explanation:

Given:

The triangle is shown below.

We know that the sum of all interior angles of a triangle is equal to 180°.

Therefore,

[tex]\angle M+\angle N+\angle P=180 \°\\\\x+2x+1+2x-1=180\°\\\\5x=180\°\\\\x=\frac{180}{5}\\\\x=36\°[/tex]

Now, plugging the value of 'x' in each angle measure and determining its values. We get:

[tex]\angle M=x=36\°\\\angle P=2x-1=2(36)-1=72-1=71\°\\\angle N=2x+1=2(36)+1=72+1=73\°[/tex]

Therefore, the value of 'x' is 36° and the measure of the three angles are 36°, 71° and 73°.

Answer:

n=66

Step-by-step explanation:

5/6n=72-17

5/6n=55

n=55/(5/6)

n=(55/1)(6/5)

n=(11*6)/1

n=66/1

n=66

Answer:

66

Step-by-step explanation:

Answer:

Sadie took 47 minutes to finish her test.

Step-by-step explanation:

Let Laura's time be x minutes.

Then we have:

x + 3x - 16 = 68

4x = 84

x = 21 minutes.

So Sadie took 3(21) - 16 = 63-16

= 47 minutes.

Answer:

Step-by-step explanation:

[tex](f+g)(x)=f(x)+g(x)\\\\\text{Substitute}\ f(x)=-3x-5\ \text{and}\ g(x)=4x-2:\\\\(f+g)(x)=(-3x-5)+(4x-2)\qquad\text{combine like terms}\\\\(f+g)(x)=(-3x+4x)+(-5-2)\\\\(f+g)(x)=x-7[/tex]

Answer:

The cost of one hamburger is $3.95.

Step-by-step explanation:

15.80/4=3.95

Answer:

$ 3.95

Step-by-step explanation:

it is 3.95 because you divide 15.80 by 4

Answer:

2 tomato plants will left with Clara.

Step-by-step explanation:

Length of the garden = l = 7 feet

Width of the garden = w = 4 feet

Area of the garden = l × w

Area occupied by single tomato plant =

Number of tomato plants in the garden :

tomato plants

Number of tomato Clara has is 30

Number plants leftover with Clara = 30 - 28 = 2

2 tomato plants will left with Clara.

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Step-by-step explanation:

Answer:

34 bags

Step-by-step explanation:

Area =L*W

20*15 = 300 square feet

She needs to plant 300 bulbs

300/9 = 33.33333(33(1/3) bags

Since she need to purchase bags containing 9 bulbs each, she needs to buy 34 bags (It ill be 6 left since 34 bags =306 bulbs)

If she buys 33 bags  it will be only 297 (3 short)

Answer:

D. If 20$ a trip charge is added, the new x-intercept will be (20,0)

This statement is false. The original graph started at (0,0), the x-intercept. Adding a 20$ trip charge moves the graph up 20 so there would not be an x-intercept.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

A standard deck contains 52 cards with 4 suits and hence 4 tens. The probability of being dealt 3 tens is thus 4/52 x 3/51 x 2/50. The denominator decreases as one card is removed from the deck each time. If the removed card is replaced, there would be no need for the decrease in the denominator.

Step-by-step explanation:

Answer:

the answer is b

Answer

______________

The same solution of the given system of equations will be same as the solution of below system of equations;

⇒ 8x + 4y = −4

17x + 2y = −28

Option A is true.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The System of equation is,

6x + 2y = - 6   ..(i)

3x - 4y = - 18   ..(ii)

Now,

Solve the given system of equation as;

The System of equation is,

6x + 2y = - 6   ..(i)

3x - 4y = - 18   ..(ii)

By equation (i);

6x + 2y = - 6  

2(3x + y) = - 6

3x + y = - 3  ..(iii)

Subtract equation (ii) from (iii), we get;

3x - 4y - (3x + y) = - 18 - (-3)

3x - 4y - 3x - y = - 18 + 3

- 5y = - 15

y = 3

And, By equation (i), we get;

6x + 2y = - 6  

6x + 2 × 3 = - 6

6x + 6 = - 6

6x = - 6 - 6

6x = - 12

x = - 2

Thus, The solution of given system of equation are;

x = - 2 and y = 3

Now,

Substitute the value of x and y in all the given options and find the same solution of given system of equation as;

A: 8x + 4y = −4

17x + 2y = −28

Substitute the value of x = - 2 and y = 3;

8x + 4y = −4

8 × - 2 + 4 × 3 = - 4

- 16 + 12 = - 4

- 4 = - 4

17x + 2y = −28

17 × - 2 + 2 × 3 = - 28

- 34 + 6 = - 28

- 28 = - 28

Thus, This system of equation has same solution.

Therefore, The same solution of the given system of equations will be same as the solution of below system of equations;

⇒ 8x + 4y = −4

17x + 2y = −28

Option A is true.

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Answer:

4 M + 2 N = 120

Step-by-step explanation:

If we name "M" the number of tables for four people, and "N" the number of tables for two people, then the total number of people to be seated using M tables (of four people) would be the product "4 * M".

Similarly, the total number of people to be seated if the owner has N number of two person tables, would be: "2 * N".

Therefore, if the owner has M four people tables and N two person tables, the total number of people seated at the restaurant would be the addition:

4 * M + 2 * N. Since he wants this number to be 120, we complete the equation making this expression equal to 120:

4 * M + 2 * N = 120

The equation that represents this situation is 2x + 4y = 120, where x represents the number of tables for two and y represents the number of tables for four. Thus, this mathematical equation reflects the owner's seating arrangement plans for his restaurant.

Let's use x to represent the number of tables for two and y to represent the number of tables for four. Since each table for two can seat 2 people and each table for four can seat 4 people, the total number of people that can be seated is 2x + 4y. The owner of the restaurant wants to seat a total of 120 people, so the equation that represents this situation is 2x + 4y = 120.

In this equation, x and y are the variables. The x value represents the number of tables for two and the y value represents the number of tables for four.

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Answer:

0.19%

Step-by-step explanation:

To know what is the probability that a female who is less than 16 in involved in a driver fatality, we have to compare the cases of fatalities for females who are less than 16 years old, with the total cases of fatalities, commited by all kind of persons. Then, to know the proportion of the population of driver fatalities represented by female who are less than 16, we divide the amount of cases that happend under the characteristics mentioned (females <16) and the total amount of fatalities: [tex]\frac{100}{Total_{fatalities}} =\frac{100}{141+100+4970+2331+11009+....} =\frac{100}{52693}=0.0019=0.19\%[/tex], which is the probability that a randomly-selected driver fatality were commited by a females who is less than 16.

Answer:

C) 6(4m-n)

Step-by-step explanation:

Because 6(4m-n)=24m-6n.

Answer:

3

Step-by-step explanation:

She has enough money to buy 3 tubes which leaves with $3 for whatever else she desires

Answer:

The money receive by Paul is  [tex]\pounds 40[/tex].

Step-by-step explanation:

Given as :

The ratio of share of money among three people as

Stephen : Paul : Bridget = 3 : 4 : 2

The total money receive by Stephen and Bridget = [tex]\pounds 50[/tex]

Let The money receive by Stephen = 3 x

Let The money receive by Paul = 4 x

Let The money receive by Bridget = 2 x

Now, According to question

The total money receive by Stephen and Bridget = [tex]\pounds 50[/tex]

I.e 3 x + 2 x =  [tex]\pounds 50[/tex]

i.e 5 x =  [tex]\pounds 50[/tex]

∴    x = [tex]\frac{\pounds 50}{5}[/tex]  

    x =  [tex]\pounds 10[/tex]

So, The money receive by Stephen = 3 × [tex]\pounds 10[/tex] = [tex]\pounds 30[/tex]

Let The money receive by Paul = 4 × [tex]\pounds 10[/tex] = [tex]\pounds 40[/tex]

Let The money receive by Bridget = 2 × [tex]\pounds 10[/tex] = [tex]\pounds 20[/tex]

Hence The money receive by Paul is  [tex]\pounds 40[/tex]. Answer

Answer:

437584.68

Step-by-step explanation:

Answer:

Step-by-step explanation:

437584.7

Answer:

If you want the inequality, c - 13 < -19

If you want the inequality simplified, c < -6

Answer:

473 turnips

Step-by-step explanation:

well if its 1 to 1 that means how ever meany you have of one you will have the same exact amount of the other food

473x1 = 473x1

Final answer:

To find the number of turnips, set up a proportion using the given ratio and cross multiply to solve for the number of turnips.

Explanation:

To find the number of turnips, we can set up a proportion using the given ratio:
Number of potatoes / Number of turnips = Ratio of potatoes to turnips.
Since the ratio of potatoes to turnips is 1:1, the proportion will be:
473 / Number of turnips = 1 / 1.

To solve for the number of turnips, cross multiply:
473 * 1 = Number of turnips * 1.
Number of turnips = 473.

Therefore, there are 473 turnips in this scenario.

Answer:

The graph you posted was Incorrect! An easy way you can check is like this:

Insert the function "f(x) = (x - 1)(x + 3)(x – 3)" into desmos, you get this which should perfectly match the function shown.

The graph that represents the function is attached to the answer.

The graph is a mathematical representation of the relation between two objects.

It helps in determining the function that fits best for the data obtained.

A function is a mathematical statement that defines a relationship between a dependent and an independent variable.

A function always has a defined range and domain, domain is all the value a function can have as input and range is all the value that a function can give as output.

The function is f(x) = (x-1)(x+3)(x-3)

The graph for the function will be determined by plotting,

The graph is plotted and attached with the answer.

The parent function is a cubic function, which is also plotted along with the function graph.

To know more about Graph

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Answer:

By SAS rule

Step-by-step explanation:

Required to Prove

ABC is congruent to DEC

Given

C is midpoint of AD and BE

As C is the midpoint of both line segments

AC=CD

BC=CE

and ∠ACB=∠DCE(Vertically opposite angles)

⇒By SAS(side-AC and DC, angle-∠ACB,∠DCE,side-BC and EC) congruency rule

triangle ABC is congruent to triangle DEC

Answer:

First Number = 9

Second Number = -4

Step-by-step explanation:

Let the first number be "x" and the 2nd number be "y"

First number PLUS twice 2nd is 1, so we can write:

x + 2 y = 1

Twice First number PLUS the 2nd number is 14, so we can write:

2x + y = 14

We can write:

y = 14 - 2x

We put this into 1st equation and solve for x:

x + 2y = 1

x + 2(14 - 2x) = 1

x + 28 - 4x = 1

-3x = -27

x = 9

And now y:

y = 14 - 2(x)

y = 14 -2(9)

y = 14 - 18

y = -4

First Number = 9

Second Number = -4

Answer:

x=1,2

Step-by-step explanation:

we show that 4x is <12

if x=1,,,4x=4*1=4

if x=2,,,4x=4*2=8

if x=3,,,4x= 4*3=12

so 1 &2 is right ans

Answer:

(B) π/12 + π/6 k

Step-by-step explanation:

Points of inflection are where f"(x) = 0 and changes signs.

f(x) = cos²(3x)

f(x) = (cos(3x))²

f'(x) = 2 (cos(3x))¹ × -sin(3x) × 3

f'(x) = -6 sin(3x) cos(3x)

Using double angle formula:

f'(x) = -3 sin(6x)

f"(x) = -3 cos(6x) × 6

f"(x) = -18 cos(6x)

0 = -18 cos(6x)

0 = cos(6x)

6x = π/2 + 2πk or 6x = 3π/2 + 2πk

We can simplify this to:

6x = π/2 + πk

x = π/12 + π/6 k

Selection of the digits, In accordance with the rules results to

671

What is place value

Place value is the value of a digit based on its position within a numeral, especially in the base-10 (decimal) number system.

Each digit in a number has a place value, and the position of the digit determines its contribution to the overall value of the number.

The digit in the hundreds place (6) comes first. Next is the tens digit (7) then lastly the ones digit (1)

This results to 671

Answer:

-11x-3y^2

Step-by-step explanation:

(8x^2-9x^2-4x)+(x^2-3y^2-7x)

-x^2-4x+x^2-3y^2-7x

-4x-7x-3y^2

-11x-3y^2

Answer:

Step-by-step explanation:

[tex](8x^2-9x^2-4x)+(x^2-3y^2-7x)\\\\=8x^2-9x^2-4x+x^2-3y^2-7x\qquad\text{combine like terms}\\\\=(8x^2-9x^2+x^2)-3y^2+(-4x-7x)\\\\=-3y^2-11x[/tex]