I 3) A store is holding a promotion. Every fourth customer receives a free key chain and every sixth customer receives a free magnet. Which customer will be the first to receive both a key chain and a magnet?​

Answer:

The width of the rectangle given is equal to 3m.

Step-by-step explanation:

In order to solve this question we need to know that the areas of the rectangle is equal to [tex]A_{rectangle} = (l)(w)[/tex], where "l" is length and "w" is width. So know in order to solve this question we would have to find out the unknown width by using area and the length of the triangle. Based on the formula I wrote down earlier we can understand the following.....

[tex]A_{rectangle} = (l)(w)[/tex]

[tex]\frac{A_{rectangle} }{l} = \frac{(l)(w)}{l}[/tex]

[tex]w = \frac{A_{rectangle} }{l}[/tex]

Just now we found out the formula that we can use to solve for the width when we know the area and the length of the rectangle. Now in order to get the answer we just have to plug in the values we know, and we get........

[tex]w = \frac{A_{rectangle} }{l}[/tex]

[tex]w = \frac{11m^{2} }{(3\frac{2}{3}m )}[/tex]

[tex]w = 3m[/tex]

Answer:

-330

Step-by-step explanation:

Trust me :)) sjsksksk

Answer:

The slope of WX and WY

Step-by-step explanation:

For us to have a rectangle, the angles at the edges equal 90

What this mean is that the width and the length are at 90 degrees

Hence, we can say that they are perpendicular to one another

Thus, we can calculate the slopes of both to drive home our point

Hence, by calculating the slopes of WX and WY, We can proof that we have a rectangle

Answer:

y = -5x/6 - 33/6

Step-by-step explanation:

The standard form of equation of a line in point slope form is y - y0 = m(x - x0)

m is the slope

(x0, y0) is the point on the line

First we need the slope of the given equation 5x+6y=11.

Rewrite in standard form;

5x+6y=11

6y = -5x + 11

y = -5/6 x + 11/6

Hence the slope is -5/6

Since the unknown line is parallel to this line, they will have the same slope, hence the slope of the required line is -5/6

Substitute m = -5/6 and the point (-5,-3) into the point-slope expression;

y - y0 = m(x - x0)

y - (-3) = -5/6 (x - (-5))

y + 3 = -5/6(x+3)

6(y+3) = -5(x+3)

6y+18 = -5x - 15

6y+5x =-15 -18

6y+5x =-33

Express in slope intercept form

6y = -5x - 33

y = -5x/6 - 33/6

Answer:

Step-by-step explanation:

The possibility of scoring a 4 is 1/5

The possibility of scoring a 5 is 1/5

The possibility of scoring either 4 or a 5 is 2/5

Answer:

(f О g)(25) is -135

Step-by-step explanation:

The composite function (f О g)(x) means substitute x in f by g

∵ f(x) = -2x² - 7

∵ g(x) = √3 + 3

→ To find (f О g)(25), find g(25) first, then substitute x in f by the value of g(25)

∵ x = 25

∴ g(25) = √25 + 3

∵ √25 = 5

∴ g(25) = 5 + 3

∴ g(25) = 8

→ Now substitute x in f by 8

∵ x = 8

∴ f(8) = -2(8)² - 7

∴ f(8) = -2(64) - 7

∴ f(8) = -128 - 7

∴ f(8) = -135

∴ (f О g)(25) = -135

Answer & Step-by-step explanation:

First write the line equation.

y=mx+b is the format where m=slope, b= y intercept

y=-2x-3

plug each x in to see if they match the point

y= -2(-2) -3 = -4 - 3 = -7 ; the point is (-2,0) so NO

y= -2(-1.5) -3= 3-3 = 0; point is (-1.5, 0) so YES it matches

y= -2(-6) -3 = 12-3 = 0; point matches so YES

y= -2(2) -3 = -4-3 = -7; point is (2, -3) so NO

y = -2(3) -3 = -6-3= -9; point matches so YES

y= -2(-4)-3 = 8-3 = 5; point is (-4, 4) so NO

(-1.5, 0) & (-6, 9) & (3, -9)

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Answer:

the answers are B C E

Step-by-step explanation:

-1,5, 0

-6, 9

3, -9

Answer:

f(x + h) = -4x² - 4h² - 8hx + 3x + 3h

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x - 4x²

f(x + h) is x = x + h

Step 2: Evaluate

Answer:

£3591

Step-by-step explanation:

Brian buys a computer for £3600. It depreciates at a rate of 5% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate.

The formula for Depreciation rate =

P = Po × e^-rt

P = Amount after depreciation

Po = Initial amount = £ 3600

r = depreciation rate = 5% = 0.05

t = time in years = 2

Hence:

P = £3600 × e ^ -0.05 × 2

P =£ 3600 × e-0.0025

P = £ 3591.0112406

Approximately = £3591

Answer:

Samantha's age = 27 years

Step-by-step explanation:

As Samantha is one year less than twice her brother Jack’s age.

As the sum of their ages is 41.

Thus, the equation become

x+2x-1 = 41

3x-1 = 41

3x = 42

Dividing both sides by 3

x = 14

It indicates that Jack's age = 14 years

Therefore,

Samantha's age = 2x-1 = 2(14)-1 = 27 years

Answer:

D

Step-by-step explanation:

In the original expression =  37.4 - 54.9 = -17.5

So, we have to solve all the equations but 1 of them has to equal to -17.5

A) -54.9 + (-37.4) = -92.3

   Remove parentheses

   = -54.9 - 37.4

Subtract the numbers

    -92.3

B) 54.9 - 37.4 = 17.5

Since 54.9 is greater than 37.4 just subtract normally

 4   14

  5  4.   9                < ------- Line up the decimal points like this

-  3  7.   4                <---------  Subtract the decimals

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

   1   7   .    5       <---------- This is the final answer to B.                    

C)  37.4 - (- 54.9) = 92.3

   Change the sign to addition

        =37.4 + 54.9

  Add the numbers normally

  54.9

+ 37. 4

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

  92.3

D)  37.4 + (-54.9) = -17.5

   Change the sign to subtraction

      =    37.4 - 54.9

Subtract them normally (but as you can see you are subtracting a smaller number from a larger number so heres a trick that you can use switch the equation by putting the larger number in first like this....)

54.9 - 37.4 = 17.5 (REMEMBER the answer is not 17.5 because the original equation of D is reversed  37.4 - 54.9 so in this case your answer should be

- 17.5)

37.4 - 54.9 = -17.5

Your final answer is D because it matches 37.4 - 54.9.

Hope this helps!

Answer: -54.9+(-37.4)

Step-by-step explanation:

Your final answer is D because it matches 37.4 - 54.9.

Answer:

He was there for three hours

Step-by-step explanation:

$25 times 3=$75

$50+$75=$125

Answer:

24

Step-by-step explanation:

Corey has saved an amount of 24 dollars, if they have saved up a total of $78.00.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let's assume that Corey has saved an amount of x dollars.

Given that Jasper and Corey have saved up a total of $78.00.

Jasper has saved 6 dollars more than twice as much as

Corey.

As per the given condition, the algebraic form is:

(6 + 2x) + x = 78.  

Rearrange the terms of variables of x in the above equation,

6 + 2x + x = 78

Apply the addition operation,

6 + 3x = 78

Subtract 6 from both sides in the equation,

3x = 72

Now divide both sides by 3 in the equation,

x = 24

Therefore, Corey has saved an amount of 24 dollars.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ6

p/5 + 6 = 10

=> p/5 = 10-6

=> p/5 = 4

=> p = 5×4

=> p = 20

C. 20

Answer:

11/200

Step-by-step explanation:

5.5% = 5.5/100 = 0.055

0.055 1000

———- X ———

1 1000

=55/1000

=11/200

Answer:

216g of margarine

Step-by-step explanation:

From the above question:

12 small cakes required 108g of margarine

If he would be making 24 of the small cakes, hence, that would be calculated as:

12 small cakes = 108g of margarine

24 small cakes = x

Cross Multiply

12 × x = 24 × 108g

x = 24 × 108g/12

x = 216g of margarine

Therefore, he would need 216g of margarine to make 24 of small cakes

Answer:

Step-by-step explanation:

All that making a list does is creates a visible step by step instruction manual on what needs to be done in order to solve the math problem that needs to be solved. Lists are extremely helpful and can be used in every single math problem, for example....

15x - 25 = 275

See making a list isolates the problem into an easy to read instruction manual.

Answer:

cross multiply to get 12

Step-by-step explanation:

Answer:

X=12

Step-by-step explanation:

18 x 2 is 36 divided by 3 is 12

you can simplify 18/12 by 6 to get 3/2

Answer:

C because 18-6=12

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

all you do is subtract lol

Answer:

∠B ≅ ∠F ⇒ proved down

Step-by-step explanation:

In the two right triangles, if the hypotenuse and leg of the 1st right Δ ≅ the hypotenuse and leg of the 2nd right Δ, then the two triangles are congruent

Let us use this fact to solve the question

→ In Δs BCD and FED

∵ ∠C and ∠E are right angles

∴ Δs BCD and FED are right triangles ⇒ (1)

∵ D is the mid-point of CE

→ That means point D divides CE into 2 equal parts CD and ED

∴ CD = ED ⇒ (2) legs

∵ BD and DF are the opposite sides to the right angles

∴ BD and DF are the hypotenuses of the triangles

∵ BD ≅ FD ⇒ (3) hypotenuses

→ From (1), (2), (3), and the fact above

∴ Δ BCD ≅ ΔFED ⇒ by HL postulate of congruency

→ As a result of congruency

∴ BC ≅ FE

∴ ∠BDC ≅ ∠FDE

∴ ∠B ≅ ∠F ⇒ proved

Answer:

Answer:

Hope this may helps you

Answer:

Column A:

You calculate slope doing y2-y1/x2-x1

So -10-1/5-(-2)= -11/7

Column B:

Rearrange the equation to get y

-3x+2y=7

2y=3x+7

y= 1.5x + 7

Therfore we have that the slope of column be is greater because it has a positive regression. While column A has a negative slope.

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Answer:

after 19 years, Helen's balance is still larger than Lincoln's but after 20 years, Lincoln's balance will be larger than Helen's.

Step-by-step explanation: