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tester [92]
3 years ago
7

5. What property of equality is used to transform the equation from the first step to the second step?

Mathematics
1 answer:
Novay_Z [31]3 years ago
3 0

Answer: The multiplication property of equality is used to transform the equation from the first step to the second step.

Explanation:

The multiplication property states that if any number is multiplied both side of a equation the equation doesn't change.

If x = y and we multiply both side by m, then xm = ym is equivalent to x = y.

The given expression is,

\frac{x}{5}=2

Use multiplication property of equality, multiply 5 both sides,

x=2\times5

x=10

Therefore, the multiplication property of equality is used to transform the equation from the first step to the second step.

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In 20 years charles will bevthree time as old as he is now. how old is he now?
NemiM [27]
Answer:

10

Explanation:

Make our unknown equal to x, in this case his current age.

In 20 years he will be three times as old as he is now, in other words:

x + 20 = 3x

Now solve the equation:

20 = 3x - x
20 = 2x
10 = x
7 0
3 years ago
Pls help me figure this out i would really appreciate it
lubasha [3.4K]

Answer:760ft2

Step-by-step explanation:

Area of first triangle = 1/2bh = 1/2*8*15=60ft2

Area of second triangle = 60ft2

Area of bottom rectangle =20*15=300ft2

Area of top rectangle = 17*20=340 ft2

Total surface area =60+60+300+340

=760ft2

8 0
3 years ago
Please help me with this study island question :/
siniylev [52]

Answer:

B. 56 feet

Step-by-step explanation:

One centimeter = 4 feet on the scaled drawing, perimeter of pool is 14cm. 14 x 4=56 ft.

4 0
3 years ago
Read 2 more answers
0. Kevin needs to buy shrubs for his yard. Six shrubs at the nursery cost $72.00. At the garden
Elanso [62]

Answer:

72÷6=12

so at the nursery it cost $12 per shrub

66÷6=11

so at the store it cost $11 per shrub

so if you buy 21 shrubs from the nursery it will cost: 12×21=$252

but if you buy 21 shrubs from the store it only cost: 11×21=$231

$252-$231=$21

7 0
3 years ago
Read 2 more answers
Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11
Mars2501 [29]

The solution to the binomial expression by using Pascal's triangle is:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

<h3>How can we use Pascal's triangle to expand a binomial expression?</h3>

Pascal's triangle can be used to calculate the coefficients of the expansion of (a+b)ⁿ by taking the exponent (n) and adding the value of 1 to it. The coefficients will correspond with the line (n+1) of the triangle.

We can have the Pascal tree triangle expressed as follows:

                          1

               1                   1

        1                2                 1

    1          3              3               1

1      4            6                4            1

--- --- --- --- --- --- --- --- --- --- --- --- --- --- ---

From the given information:

The expansion of (3x-4y)^11 will correspond to line 11.

Using the general formula for the Pascal triangle:

\mathbf{(a+b)^n = c_oa^nb^0 + c_1 a^{n-1}b^1+c_{n-1}a^1b^{n-1}+c_na^0b^n}

The solution to the expansion of the binomial (3x-4y)^11 can be computed as:

\mathbf{=177147x^{11}-2598156x^{10}y +17321040x^9y^2-69284160x^8y^3+184757760x^7y^4}

\mathbf{-344881152x^6y^5+459841536x^5y^6-437944320x^4y^7+291962880x^3y^8}

\mathbf{-129761280x2y^9+34603008xy^{10}-4194304y^{11}}

Learn more about Pascal's triangle here:

brainly.com/question/16978014

#SPJ1

5 0
2 years ago
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