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Zina [86]
4 years ago
6

A rectangle has a perimeter of 25 meters. If the lengths of the sides of the rectangle are multiplied by 7 to make a new rectang

le, what is the perimeter of the new rectangle?
Mathematics
1 answer:
juin [17]4 years ago
7 0

Answer:

175 m

Step-by-step explanation:

We are given;

  • The perimeter of a rectangle as 25 m

We are required to determine the new perimeter if the sides of the rectangle are multiplied by 7.

We know that;

Perimeter of a rectangle = 2(L+W)

Therefore, initially;

2(L+W) = 25 m

Hence;

L + W = 12.5 m

if the sides are multiplied by 7, then;

New length = 7L

New Width = 7W

Thus;

New perimeter = 2(7L+7W)

                         = 14 (L + W)

but, L + W = 12.5

Thus;

New perimeter = 14 (12.5)

                         = 175 m

Therefore, the new perimeter will be 175 m

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Given the system of constraints name all vertices. Then find the maximum value of the given objective
larisa86 [58]

Answer:

35

Step-by-step explanation:

The constraints are

The red line represents the function

y\leq \dfrac{1}{3}x+1

At y=0

0=\dfrac{1}{3}x+1\\\Rightarrow -1=\dfrac{1}{3}x\\\Rightarrow x=-3

At x=0

y=0+1\\\Rightarrow y=1

Two points are (-3,0),(0,1)

The blue line represents the function

5\geq y+x

at y=0

5=x

at x=0

y=5

Two points are (5,0),(0,5)

The other two constraints are x\geq 0, y\geq 0. So, the point has to be in the first quadrant

From the graph it can be seen there are two points where the function will be maximum let us check them.

(3,2)

7x-2y=7\times 3-2\times 2=17

(5,0)

7x-2y=7\times 5-2\times 0=35

So, the maximum value of the function is 35.

3 0
3 years ago
2 of a dozen eggs are cracked. What percent of the carton is NOT cracked using the percent proportion
levacccp [35]

If 2 of 12 eggs are cracked, then 10 are not cracked.

SO

10/12=5/6=about 0.83

0.83 of total eggs not cracked is also equivalent to 83 percent as asked in the problem :)

6 0
3 years ago
A number decreased by 4 is greater than 13 solve pls
eimsori [14]

Answer:  

Year 10 Interactive Maths - Second Edition

Problem Solving

Linear equations are often used to solve practical problems that have an unknown quantity. We use a suitable pronumeral to represent the unknown quantity, translate the information given in the problem into an equation, and then solve the equation using the skills acquired earlier in this chapter.

Example 11

If a number is increased by 8, the result is 25. Find the number.

Solution:

Let x be the number.  Increasing x by 8 gives x + 8, which we are told is 25.  Therefore, x + 8 = 25.  Subtract 8 from both sides to find x = 17.  So, the number is 17.

Step-by-step explanation:

I hope this helps!!!

4 0
3 years ago
Write a story problem for this expression and solve your own story with with the correct answer: 7 1/2 ➗3= ???
kodGreya [7K]
Bob has 7.5 pounds of flour
he wants to distribute the flour equally into 3 jars
how muc pounds in each jar

7.5/3=2.5 or 2 and 1/2 lb
6 0
3 years ago
Read 2 more answers
I don’t understand can someone please explain how to work this out and what the answer is
joja [24]

When you see an equation with parenthesis around it, you can use this:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Otherwise known as PEMDAS.

We can see that in the equation, there are parenthesis, so we can open those. We open parenthesis by taking the number right next to the parenthesis (or outside the parenthesis) and we multiply that number by everything inside. So this is what it would look like:

-2x^2 - 10x + 8

See how the signs changed? This rule only applies when you multiply something, but here is how I think of it:

+ and + always equals +.

- and - always equals +.

- and + always equals -.

+ and - always equals -.

So that's it! Just to be clear, the answer is:

-2x^2 - 10x + 8

Hope I helped, sorry if I'm wrong!

`Mschmindy

4 0
3 years ago
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