A rectangle of sides 5 cm and 2 cm is cut out from a bigger rectangle of sides 14 cm and 7 cm to form a new shape as shown below.
What is the perimeter of the new shape formed?

a. 46 cm
b. 40 cm
c. 22 cm
d. 20 cm

Answer:

There would be 2 sliders and 8 hotdogs.

Step-by-step explanation:

1 slider= 200 cal

2 sliders= 400 cal

2x4= 8

1 mini hotdog= 100 cal

8 mini hotdogs= 800 cal

800 cal + 400 cal = 1200 cal

Answer:

He made a profit of 40-32 = Rs 8 per copy.

He got a 25% profit in the business of copies

Step-by-step explanation:

Newton buys and sells copies in his business. He bought 12 dozen = 12*12=144 copies in Rs 4320.

He also has Rs 288 in expenses to bring the copies to his shop, thus the total cost is 4320+288=4608.

Each copy finally cost 4608/144 = Rs 32.

He sold all copies for Rs 5760, at 5760/144= Rs 40 each.

Therefore, he made a profit of 40-32 = Rs 8 per copy.

The total profit in his business of copies was 5760 - 4608= 1152

This is a percentage of:

[tex]\frac{1152}{4608}*100 = 25\%[/tex]

Answer:

Step-by-step explanation:

The x difference:

8 - 1 = 7

The y difference:

-4 - -7 = 3

Distance:

7² + 3² = 58

√58 ≅ 7.62

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Step-by-step explanation:

[tex]\huge\bold\purple{ 0.316 }[/tex]

Answer:  0.31690140845=(rounded thousandths) 0.317 or

0.32 (rounded hundredths)

Step-by-step explanation: i think if you are dividing 11.25 into 35.5

Answer:

4.5

Step-by-step explanation:

when the height is 0 the ball will hit the ground

so the equation is

-12t²+54t=0

12t²-54t=0

2t²-9t=0

t(2t-9)=0

t=0

t=4.5

so the answer is

4.5

Answer:

A. 4x-10

Step-by-step explanation:

We see that this is a rectangle. To find the perimeter, we do L+W+L+W. So in this case, we can do (x+2)+(x-7)+(x+2)+(x-7). We can also simplify this to   2(x+2)+2(x-7)

Combine like terms now.

Simplify this to:

2x+4+2x-14

Simplify further:

4x-10

Answer:

4x-10

Step-by-step explanation:

The perimeter is the total around a shape.  That means there will be two copies of each equation.

2(x+2)= 2x+4

2(x-7)= 2x-14

Add the two equations together and simplify.

2x+4+2x-14=

Add the like terms 2x together.

2x+2x= 4x

Keep doing the problem

4x+4-14

Solve 4-14 which equals -10

4x-10

Answer:

Step-by-step explanation:

25 feet per minute

in 10 minutes

25ft*10=250ft

the diver is 250+200=450

the diver was at 450 below the sea level

Answer:

450 feet below sea level

Step-by-step explanation:

So:

We are looking at 10 minutes ago. If he is being pulled up, that means before he was even more down.

Therefore 25 feet is 1 minute so 10 minutes is 250 feet.

As he was more down below sea level you add 200 feet below sea level with 250 feet below sea level.

This will give you 450 feet below sea level.

I hope this helps!

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Answer:

[tex]\huge\boxed{n=5m}[/tex]

[tex]\huge\boxed{55 \ \text{novels}}[/tex]

Step-by-step explanation:

With this word problem, we can model it into an equation which we can interpret to find values.

If we need to read 5 novels per month and n represents the amount of novels read in m months, we know that n will be the dependent variable (y) as it's a direct function of the number of months. This makes m the independent variable (x).

Since there are 5 novels a month, the equation will be 5 times the number of months equals the number of novels per month.

aka - [tex]n=5m[/tex]

We can now substitute inside the equation with 11 months as m, and find the value of n.

Hope this helped!

Answer:

The answer is 55

Step-by-step explanation:

Because for every 1 month he reads 5 books

if you do 5 times 11 you get 55

and to check your answer you divide 55 by  5 you get 11

so your equation would be 5 times 11

and your answer would be 55.

hope this helps ;)

Answer:

Answer:

2)Ben Bean's Drinks

1) 4 variables, of which 1 is categorical

Step-by-step explanation:

Popular Drinks at Ben's Beans Coffee Shop

Drink                  Type           Calories      Sugars (g)        Caffeine (mg)

Brewed coffee      Hot             4                    0                        260

Caffè latte              Hot            100                  14                      75

Caffè mocha          Hot               170                 27                      95

Cappuccino         Hot               60                  8                        75

Iced brewed coffee Cold        60                 15                         120

Chai latte              Hot            120                 25                       60

The individuals in this data set are:

1) Ben Bean's  customers

2) Ben Bean's drinks

3) Caffeine Contents

This is a list of the coffee drinks not customers so option 2 is correct. Nor it deals with caffeine content.

The data set contains

1) 4 variables, of which 1 is categorical

2) 4 variables , of which 2 are categorical

3) 6 variables , of which 1 are categorical

4)  6 variables , of which 2 are categorical

Here option1 is correct because we have 4 variables ( type, calories, sugar, caffeine)out of which 1 ( type) is divided into 2 categories (hot or cold).

Answer:

The angle sign doesn't look like 56.6 degrees

Step-by-step explanation:

Answer:

5(x+2)

Step-by-step explanation:

When factoring, always use the greatest common factor (GCF) method first. 5x and 10 have a GCF of 5, so this is applicable. Divide each factor by 5:

(5x)/5=x

10/5=2

Now, factor 5 out of 5x+10:

5(x+2)

Answer:

118°

Step-by-step explanation:

That was as simple as asking this kinda questions.

Answer:

159.09

Step-by-step explanation:

.3563 * 446.51 = 159.09

Answer:

y=-3x

Step-by-step explanation:

The meaning of direct proportion is that the ratio remains the same, and the ratio will only remain the same if y= a constant number into x

Answer:

so what are we trying to figure out?

Step-by-step explanation:

Answer:

[tex] {4}^{3} = 64[/tex]

Step-by-step explanation:

[tex] \frac{ {4}^{8} }{ {4}^{5} } = {4}^{3} [/tex]

Subtract the numerator exponent from the denominator exponent.

[tex]8 - 5[/tex]

Answer:

The concept or process is [tex]x^{\frac{m}{n}}=(\sqrt[n]{x})^m[/tex].

Step-by-step explanation:

Consider the provided information.

The following property can be used to rewrite each radical as an exponent.

The numerator tells the power of the resulting rational exponent, and the denominator of the rational exponents tells the root of that number.

[tex]x^{\frac{m}{n}}=(\sqrt[n]{x})^m[/tex]

For example:

[tex](27)^{\frac{2}{3}}=(\sqrt[3]{27})^2[/tex]

[tex](27)^{\frac{2}{3}}=(3)^2[/tex]

[tex](27)^{\frac{2}{3}}=9[/tex]

Hence, the concept or process is [tex]x^{\frac{m}{n}}=(\sqrt[n]{x})^m[/tex].

Answer:

4t

Step-by-step explanation:

Let's form an equation here just to put it visually.

So it would be t+3*t

We can also write this as t+3t (If they're right next to eachother, it still indicates multiplication)

Now we can do t+3t which is 4t

If this doesn't make sense, then you can look at it this way

You do 1t+3t and since they're like terms, you can combine them and do 4t.

Answer:

A(9) is the very correct answer

Answer:

Step-by-step explanation:

Answer:

y = 4x -1

I think this is correct

Answer:

y=4x-1

Step-by-step explanation:

What we are doing here is isolating the y variable, and/or solving for y in terms of x. We add y to both sides then subtract 1 from both sides to get y=4x-1. Also, this problem is worded incorrectly and should be worded as 'solve for y in terms of x,' or 'isolate y.'

Answer:

I believe the answer is C.

Answer:

(a) 11.

(b) 5.

Step-by-step explanation:

(a)√124:

11*11 = 121 so an estimate is 11.

(b) ∛124

5*5*5 = 125

So an estimate is 5.

Answer:

(2,1)

Step-by-step explanation: