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Alona [7]
3 years ago
11

5(3x+4)=15x+20 Is this associative,commutative,identity,Or a distributive property?

Mathematics
1 answer:
svetlana [45]3 years ago
4 0

\bold{Hey\ there!} \\ \bold{\ Assoviative \ property\ looks\ looks\ like\ this:(2+3)+4;2+(3+4)}\\ \bold{\ Commutative\ property\ looks\ like\ this:b+c;c+b} \\ \bold{\ Distributive\ property\ looks\ like\ this:a(b+c);a(b)+a(c)}\\ \bold{5(3x+4)=15x+20}\\ \\ \bold{5(3x))=15x} \\ \bold{5(4)=20} \\ \\ \bold{Answer:distributive\ property}\checkmark

\bold{Reason:\ because\ it\ almost\ similar\ to\ the\ example\ shown\ above\ as\ to\ how\ solve\ it!} \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\\frak{LoveYourselfFirst:)}

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Chloe and Libby want to tie Ryan to a bunch of approximately spherical helium balloons of diameter 0.3m. The volume of each ball
dem82 [27]

Answer:  Aproximately 2,525 balloons

Step-by-step explanation:

 1. Find the volume of a balloon with the formula given in the problem, where r is the radius (r=\frac{0.3m}{2}=0.15m), then:

V=4(0.15m)^{3}=0.0135m^{3}

2. Convert the volume from m³ to lliters by multiplying it by 1,000:

V=0.0135m^{3}*1000=13.5L

3. You know that that 1 liter of helium can lift 1 gram and that Ryan weighs 5 stone and 5 pounds. So you must make the following conversions:

1 g=0.0022 lb

From 5 stones to pounds

(5stone)(\frac{14pounds}{1stone})=70pounds=70lbs

4. Then Ryan's weigh is:

5lb+70lb=75lb

5. Then, if 1 liter of helium can lift 0.0022 lb, to lift 75 lb (which is the weight of Ryan) they need:

\frac{75lb*1L}{0.0022lb}=34,090.90L

6. Then, to calculate the aproximated number of balloons they need to make him float (which can call n), you must  divide the liters of helium needed to lift the weight of Ryan by the volume of a balloon, then the result is:

n=\frac{34,090.90L}{13.5L}

n=2,525.25≈2,525 balloons.

5 0
4 years ago
Lily forgot the security code for her apartment building. the code is two different numbers followed by a letter. how many diffe
umka21 [38]
Assuming the keypad has all 26 letters and the numbers 1-9 there are 2106 possible codes

9x9x26=2106

8 0
3 years ago
How to solve it with walk through steps
mario62 [17]
You can say

x+y=5
x=5-y

You know the value of x, put it into the next equation.

3(5-y)-7y=19
15-3y-7y=19
15-19 = 10y
-4=10y
-4/10=y
-2/5=y

Put y value back into either equation to find value of x.

x+y=5
x-2/5=5
x=5+2/5
x=27/5

Therefore, x,y = (27/5, -2/5)

Hope I helped :)
6 0
3 years ago
Two lines, A and B, are represented by the equations given below!
lara [203]

Answer:

The solutions to the system of equations are:

y=-8,\:x=-4

Thus, option C is true because the point satisfies BOTH equations.

Step-by-step explanation:

Given the system of the equations

\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}

y-3x=4

-

\underline{y-x=-4}

-2x=8

\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}

solve for x

-2x=8

Divide both sides by -2

\frac{-2x}{-2}=\frac{8}{-2}

x=-4

\mathrm{For\:}y-x=-4\mathrm{\:plug\:in\:}x=-4

y-\left(-4\right)=-4

y+4=-4

y=-8

The solutions to the system of equations are:

y=-8,\:x=-4

Thus, option C is true because the point satisfies BOTH equations.

8 0
3 years ago
4(7+v) help me please i am so confused
DanielleElmas [232]

Answer:

28+4v

Step-by-step explanation:

multiply each term in parenthesis by 4.

multiply the numbers <u>4×7</u>+4v

= the solution 28+4v

3 0
3 years ago
Read 2 more answers
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