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2 years ago

Subtract 6 from z, then multiply 3 by the result

Mathematics

2 answers:

Helen [10]2 years ago

6 0

Answer:

3(z-6)

Step-by-step explanation:

First Subtract 6 from z,

=> z - 6

then multiply by 3,

=>3(z-6)

elena-s [515]2 years ago

6 0

Answer:

$\Huge{\bf \boxed{\bf 3 \times (z - 6)}}$

Step-by-step explanation:

Topic- Algebra

Subtract 6 from z will be rewritten as,

$\sf \longmapsto \: z - 6$

On this algebraic expression, There is one term and a number.We can't simplify it.(If we could Simplify the given expression then also we can't as there is a condition)

Then , We have asked to multiply the result (z-6) by 3.

That is,

$\sf \longmapsto3(z - 6)$

But,the condition is that we should not simplify any part of the given expression.So we can't simplify this expression.

$\sf \longmapsto3 \times (z - 6)$

$\rule{175pt}{2pt}$

I hope this helps!

Please let me know if you have any questions.I am joyous to help!

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PLEASE HELP!! Using the SAS Congruence Theorem

Komok [63]

Answer:

SAS

Step-by-step explanation:

JK is congruent to LM (given)

L is midpoint of JN (given)

JL is congruent to LN (definition of midpoint)

JK is parallel to LM (given)

Angle LJK is congruent to Angle NLM (corresponding angles)

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3 years ago

Read 2 more answers

Steve likes to entertain friends at parties with "wire tricks." Suppose he takes a piece of wire 60 inches long and cuts it into

Alex_Xolod [135]

Answer:

a) the length of the wire for the circle = $(\frac{60\pi }{\pi+4}) in$

b)the length of the wire for the square = $(\frac{240}{\pi+4}) in$

c) the smallest possible area = 126.02 in² into two decimal places

Step-by-step explanation:

If one piece of wire for the square is y; and another piece of wire for circle is (60-y).

Then; we can say; let the side of the square be b

so 4(b)=y

b= $\frac{y}{4}$

Area of the square which is L² can now be said to be;

$A_S=(\frac{y}{4})^2 = \frac{y^2}{16}$

On the otherhand; let the radius (r) of the circle be;

2πr = 60-y

$r = \frac{60-y}{2\pi }$

Area of the circle which is πr² can now be;

$A_C= \pi (\frac{60-y}{2\pi } )^2$

$=( \frac{60-y}{4\pi } )^2$

Total Area (A);

A = $A_S+A_C$

= $\frac{y^2}{16} +(\frac{60-y}{4\pi } )^2$

For the smallest possible area; $\frac{dA}{dy}=0$

∴ $\frac{2y}{16}+\frac{2(60-y)(-1)}{4\pi}=0$

If we divide through with (2) and each entity move to the opposite side; we have:

$\frac{y}{18}=\frac{(60-y)}{2\pi}$

By cross multiplying; we have:

2πy = 480 - 8y

collect like terms

(2π + 8) y = 480

which can be reduced to (π + 4)y = 240 by dividing through with 2

$y= \frac{240}{\pi+4}$

∴ since $y= \frac{240}{\pi+4}$ , we can determine for the length of the circle ;

60-y can now be;

= $60-\frac{240}{\pi+4}$

= $\frac{(\pi+4)*60-240}{\pi+40}$

= $\frac{60\pi+240-240}{\pi+4}$

= $(\frac{60\pi}{\pi+4})in$

also, the length of wire for the square (y) ; $y= (\frac{240}{\pi+4})in$

The smallest possible area (A) = $\frac{1}{16} (\frac{240}{\pi+4})^2+(\frac{60\pi}{\pi+y})^2(\frac{1}{4\pi})$

= 126.0223095 in²

≅ 126.02 in² ( to two decimal places)

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3 years ago

1.) An American tourist changed US $925 into Trinidad and Tobago currency at the exchange rate US $1.00= TT $ 4.25

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Step-by-step explanation:

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I don't know second one.

3)a 55×1.12=61.6

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3 years ago

There are 1,198 souvenir paperweights that need to be packed in boxes. Each box will hold 12 paperweights. How many boxes will b

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Answer:

100 boxes

Step-by-step explanation:

Divide 1,198 with 12 because if there are 1,198 paperweights and each box holds 12 then how many boxes can hold these paperweights. Answer us 100 boxes

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3 years ago

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Answer:

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Step-by-step explanation:

Total amount of water dispersed= (Amount of water dispersed to each rider×Number of Riders) where;

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Number of Riders=28

Substituting;

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3 years ago