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Vilka [71]
2 years ago
11

If A = w + 9 and B = w - 3, find an expression that equals 3A - B in standard form. Please help very urgent!!​

Mathematics
1 answer:
Scorpion4ik [409]2 years ago
3 0

Answer:

2w + 30

Step-by-step explanation:

If A = w + 9, B = w - 3

3A - B

3 ( w + 9 ) - ( w - 3 )

= 3w + 27 - w + 3

= 2w + 30

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A rectangular pool 18 meters by 12 meters is surrounded by a walkway of width x
vesna_86 [32]

Answer:

x=3 meters

Step-by-step explanation:

step 1

Find the area of the rectangular pool

A=LW

we have

L=18\ m\\W=12\ m

substitute

A=18(12)=216\ m^2

step 2

Find the area of rectangular pool including the area of the walkway

Let

x ----> the width of the walkway

we have

L=(18+2x)\ m\\W=(12+2x)\ m

substitute

A=(18+2x)(12+2x)

step 3

Find the area of the walkway

To find out the area of the walkway subtract the area of the pool from the area of rectangular pool including the area of the walkway

so

A=(18+2x)(12+2x)-216

step 4

Find the value of x if the area of the walkway equal the area of the pool

so

(18+2x)(12+2x)-216=216

Solve for x

(18+2x)(12+2x)=432\\216+36x+24x+4x^{2}=432\\4x^{2} +60x-216=0

Solve the quadratic equation by graphing

The solution is x=3 meters

see the attached figure

8 0
2 years ago
In ADEF, f = 610 inches, e = 590 inches and ZE=70°. Find all possible values of ZF,
Elina [12.6K]

Answer:

"76°" is the appropriate solution.

Step-by-step explanation:

Please find attachment of the diagram according to the given query.

The given values are:

In ΔDEF,

f = 610 inches

e = 590

∠E = 70°

∠F = ?

By using the law of sines, we get

⇒  \frac{Sin E}{e} =\frac{Sin  F}{f}

On substituting the values, we get

⇒  \frac{Sin70^{\circ}}{590} =\frac{SinF}{610}

On applying cross multiplication, we get

⇒   SinF=\frac{610\times Sin 70^{\circ}}{590}

On substituting the values, we get

⇒            =\frac{61\times 0.95969262}{59}

⇒            =\frac{57.3212499}{59}

⇒            =0.971546608

now,

⇒  F=Sin^{-1}(0.971546608)

⇒      =76^{\circ}

4 0
2 years ago
11/12​−6/1​q+6/5​q−3/1​, Combine like terms to create an equivalent expression.
Nikolay [14]

Answer: -\frac{25}{12} -\frac{24q}{5}

Step-by-step explanation:

\frac{11}{12} -\frac{6}{1} q+\frac{6}{5}q-\frac{3}{1}

\frac{11}{12} -6q+ \frac{6q}{5} -\frac{3}{1}

\frac{11}{12}-6q \frac{6q}{5} -3

(\frac{11}{12} -3)+(-6q+\frac{6q}{5} )

-\frac{25}{12}- \frac{24q}{5}

Simplify three times, collect like terms and simplify again, how to collect like terms see their differences and then put them into groups, for example I put all the numbers without variables on one side and all the numbers with variables on another.

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)  

- Cutiepatutie ☺❀❤

4 0
2 years ago
Read 2 more answers
A ________ is a numerical quantity computed from the data of a sample and is used in reaching a decision on whether or not to re
scZoUnD [109]
The answer for the completion exercise shown above is the second option (option b), which is:

 b. critical value.

 Therefore, you have that the text is: "<span>A critical value is a numerical quantity computed from the data of a sample..."
</span>
 This numeral quantity is used in statitics. Then, if the absolute value is greater that the quantity defined before, the null hypothesis must be rejected.
6 0
2 years ago
What value of x is in the solution set of 2x – 3 &gt; 11 – 5x? –3 0 2 4
sergejj [24]
2x - 3 > 11 - 5x      |add 3 to both sides

2x > 14 - 5x      |add 5x to both sides

7x > 14    |divide both sides by 7

x > 2

x = 4
7 0
2 years ago
Read 2 more answers
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