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mr Goodwill [35]
4 years ago
8

2+2X=? when X = 2+5Y when Y = 5*Z^2 when Z = 2

Mathematics
2 answers:
vaieri [72.5K]4 years ago
5 0
Can you give me the brainliest?
we can find the y first
as we know z = 2 we can put it in the equation y = 5*z^2
y= 5 (2)^2
y = 5 (4)
y = 20
now we can put the value of y into X = 2+5Y

X = 2+5(20)

X = 2+ 100

X = 102

now we can put the value of x in 2+2X=?
=2+2 (102)
= 2+ 204
= 206
so 2+ 2x = 206
Alchen [17]4 years ago
4 0

Since you know Z = 2, you can plug it into:

Y = 5 · Z²

Y = 5 · (2)²

Y = 5 · 4

Y = 20

Now that you know Y = 20, you can plug it into:

X = 2 + 5Y

X = 2 + 5(20)

X = 2 + 100

X = 102

Now that you have X, plug it into "2+2X=?"

2 + 2x = ?

2 + 2(102) = ?

2 + 204 = ?

206 = ?

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What method would be best to use 53=4(x-3)^2-11
Veronika [31]

Answer:

x = 7 , -1

Step-by-step explanation:

<u>SOLUTION :-</u>

4(x-3)^2-11 = 53

  • Add 11 to both the sides.

=> 4(x-3)^2-11+11=53+11

=> 4(x-3)^2 = 64

  • Divide both the sides by 4.

=> \frac{4(x-3)^2}{4} = \frac{64}{4}

=> (x-3)^2 = 16

  • Root square both the sides.

=> \sqrt{(x-3)^2} = \sqrt{16}

=> x-3 = +4 \; or -4

Here , x will have two values -

1) x-3 = 4

=> x = 4 + 3 = 7

2) x - 3 = -4

=> x = -4 + 3 = -1

<u>VERIFICATION :-</u>

When x = 7 ,

4(x-3)^2 - 11 = 4(7 - 3)^2 - 11

                       = 4 \times 4^2 - 11

                       = 4 \times 16 - 11

                       = 64 - 11

                       = 53

When x = -1 ,

4(x-3)^2 - 11 = 4(-1 - 3)^2 - 11

                       = 4 \times (-4)^2 - 11

                       = 4 \times 16 - 11

                       = 64 - 11

                       = 53

7 0
3 years ago
Answer the following word problems. Show all calculations 7.1. In a class of 40 learners the ratio of boys to girls is 53 a. How
Grace [21]

Answer:

Solution given:

ratio of boys to the girls=5:3

let ratio be 5x and 3x

we have

5x+3x=40

8x=40

x=40/8

x=5

5x=5*5=25

3x=3*5=15

No of boys=25

No of girls=15

6 0
3 years ago
Read 2 more answers
I need help with thus assignment ASAP
Crazy boy [7]
Your answer should be 10.5
7 0
3 years ago
Read 2 more answers
How many solutions are there to the equation below?<br><br> 8 (x-3) = 8x-24
tekilochka [14]

Answer:

infinite number of solutions

Step-by-step explanation:

Given

8(x - 3) = 8x - 24 ← distribute left side

8x - 24 = 8x - 24

The expressions on both sides are equal

Hence any real value of x is a solution

That is there are an infinite number of solutions

3 0
3 years ago
Calculate the perimeter of a rectangle which is eleven metres long and four metres wide
Yakvenalex [24]
Most of the information's required for finding the perimeter of the rectangle is already given in the question. Based on those details the answer to the question can be easily determined.
Length of the rectangle in question = 11 meters
Width of the rectangle in question = 4 meters
Then
Perimeter of a rectangle = 2 ( Length + Width)
                                        = 2 (11 + 4) meters
                                        = 2 * 15 meters
                                        = 30 meters
So the perimeter of the rectangle in question is 30 meters as can be seen from the above deduction.
7 0
3 years ago
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