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Norma-Jean [14]
4 years ago
7

Solve the equation. 2 ( 4z - 1) = 3(z+2) Z=

Mathematics
1 answer:
sveta [45]4 years ago
4 0

Answer:

z = \frac{8}{5}

Step-by-step explanation:

Calculate for the value of z :

2(4z - 1) = 3(z + 2)

-Use <u>Distributive Property</u> on both left and right:

2(4z - 1) = 3(z + 2)

8z - 2 = 3z + 6

-Take 3z and subtract 8z :

8z - 3z - 2 = 3z - 3z + 6

5z - 2 = 6

-Add 2 to both sides:

5z - 2 + 2 = 6 + 2

5z = 8

-Take 5z and divide on both sides:

\frac{5z}{5} = \frac{8}{5}

z = \frac{8}{5}

Therefore, the value of z is \frac{8}{5}.

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The sum of x and y<br>5 times a is addedto b<br>thesum of number x and y is multiplyed by 3​
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Answer:

x+y=5a

5a is added to b which is the sum of x and y multiplied by 3. That is, b=x+y×3=5a×3=15a

Since, 5a is added to b= 5a+15a=20a,

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3 years ago
The outside edges of the walkway form a rectangle whose length and width are proportional to the sides of the garden, increased
Allisa [31]

The length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.

<h3>What is the scale factor?</h3>

In mathematics, a scale factor is the proportion of related dimensions of an object to a description of that object.

Given that:-

  • The outside edges of the walkway form a rectangle whose length and width are proportional to the sides of the garden, increased by a scale factor of 3. the sides of the garden are (2x+4) and (3x+2)

The length and width of the outside edge will be:-

The sides are Dilated by factor 3 so the edges of the rectangle will be calculated as;-

Length = 3 ( 2x+4 ) = 6x + 12

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Therefore the length and the width of the outside edge of the garden will be ( 6x + 12 ) and ( 9x + 6 ) respectively.

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Step-by-step explanation:

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Write the number in two other forms<br><br> 100, 203
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100 203 in expanded form is one hundred thousand two hundred three.read more<span> <span><span />100 203 in expanded form is one hundred thousand two hundred three.100 203 in expanded form is one hundred thousand two hundred three. </span><span> Minor edit? Save Cancel </span></span><span>
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If f(x)=7e^x, find which is the value of f(−3) rounded to the nearest hundredth.
hoa [83]

Answer:

f(-3)\approx0.35

Step-by-step explanation:

f(x)=7e^x

f(-3)=7e^{-3}\approx0.35

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