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Dmitry [639]
2 years ago
7

Frank tried to solve an equation step by step. \qquad\begin{aligned} -5&=5(d+4)\\\\ \\ -5&=5d+20&\green{\text{Step }

1}\\\\ \\ 15&=5d&\blue{\text{Step } 2}\\\\ \\ 3&=d&\purple{\text{Step } 3}\\\\ \end{aligned} −5 −5 15 3 ​ =5(d+4) =5d+20 =5d =d ​ Step 1 Step 2 Step 3 ​ Find Frank's mistake. Choose 1 answer: Choose 1 answer: (Choice A) A \green{\text{Step }1}Step 1start color #28ae7b, start text, S, t, e, p, space, end text, 1, end color #28ae7b (Choice B) B \blue{\text{Step }2}Step 2start color #6495ed, start text, S, t, e, p, space, end text, 2, end color #6495ed (Choice C) C \purple{\text{Step }3}Step 3start color #9d38bd, start text, S, t, e, p, space, end text, 3, end color #9d38bd (Choice D) D Frank did not make a mistake. .
Mathematics
1 answer:
Gemiola [76]2 years ago
6 0

Answer:

Step 2

Step-by-step explanation:

=5(d+4)

=5d+20

=5d

=d

Step 1

Step 2

Step 3

​

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How many inches longer is a hercules beetle than a ladybug
Mila [183]

Answer:

A Hercules Beetle is 6.97 inches larger than A ladybug

Step-by-step explanation:

A hercules beetle is 7 inches long while a ladybug is about 0.03 cm long when subtracting these two you will get a grand total of 6.97.

6 0
2 years ago
Find the area of the composite figure.
MArishka [77]

2 × 6 = 12

12 ÷ 2 = 6

2 × 14 = 28

10 × 20 = 200

6 + 28 + 200 = 234

7 0
3 years ago
Determine whether each expression is equivalent to 49^2t – 0.5.
vampirchik [111]

Answer:

None of the expression are equivalent to 49^{(2t - 0.5)}

Step-by-step explanation:

Given

49^{(2t - 0.5)}

Required

Find its equivalents

We start by expanding the given expression

49^{(2t - 0.5)}

Expand 49

(7^2)^{(2t - 0.5)}

7^2^{(2t - 0.5)}

Using laws of indices: (a^m)^n = a^{mn}

7^{(2*2t - 2*0.5)}

7^{(4t - 1)}

This implies that; each of the following options A,B and C must be equivalent to 49^{(2t - 0.5)} or alternatively, 7^{(4t - 1)}

A. \frac{7^{2t}}{49^{0.5}}

Using law of indices which states;

a^{mn} = (a^m)^n

Applying this law to the numerator; we have

\frac{(7^{2})^{t}}{49^{0.5}}

Expand expression in bracket

\frac{(7 * 7)^{t}}{49^{0.5}}

\frac{49^{t}}{49^{0.5}}

Also; Using law of indices which states;

\frac{a^{m}}{a^n} = a^{m-n}

\frac{49^{t}}{49^{0.5}} becomes

49^{t-0.5}}

This is not equivalent to 49^{(2t - 0.5)}

B. \frac{49^{2t}}{7^{0.5}}

Expand numerator

\frac{(7*7)^{2t}}{7^{0.5}}

\frac{(7^2)^{2t}}{7^{0.5}}

Using law of indices which states;

(a^m)^n = a^{mn}

Applying this law to the numerator; we have

\frac{7^{2*2t}}{7^{0.5}}

\frac{7^{4t}}{7^{0.5}}

Also; Using law of indices which states;

\frac{a^{m}}{a^n} = a^{m-n}

\frac{7^{4t}}{7^{0.5}} = 7^{4t - 0.5}

This is also not equivalent to 49^{(2t - 0.5)}

C. 7^{2t}\ *\ 49^{0.5}

7^{2t}\ *\ (7^2)^{0.5}

7^{2t}\ *\ 7^{2*0.5}

7^{2t}\ *\ 7^{1}

Using law of indices which states;

a^m*a^n = a^{m+n}

7^{2t+ 1}

This is also not equivalent to 49^{(2t - 0.5)}

6 0
3 years ago
PLEASE HELP URGENT!! DONT LINK FILES!!! HELP!!
Tomtit [17]

Answer:

Base = 8

Step-by-step explanation:

Area of a triangle can be calculated as:

Area = 0.5 x Base x Height

The values of the area and the height are given in order to find the length.

A= 52 in^2

Height= 13

First we have to find the base or the length. Using the values above we can set up the equation as:

1. 52= (0.5)(13)(b)

2. 52/0.5(13)

3. b=8

Answer: The length of the guitar or the base would be 8 inches.

I hope this helps and for future problems regarding this topic use the formula above!!

Formula: 0.5 x Base x Height

4 0
2 years ago
Solve for x: −2(x + 3) = −4(x + 1) − 4
Stolb23 [73]

Hello! My name is Chris and I’ll be helping you with this problem.

Date: 9/27/20  Time:  

Answer:  

x = -1

Explanation:

Step 1: Simplify both sides of the equation.

−2(x+3)=−4(x+1)−4

(−2)(x)+(−2)(3)=(−4)(x)+(−4)(1)+−4(Distribute)

−2x+−6=−4x+−4+−4

−2x−6=(−4x)+(−4+−4)(Combine Like Terms)

−2x−6=−4x+−8

−2x−6=−4x−8

Step 2: Add 4x to both sides.

−2x−6+4x=−4x−8+4x

2x−6=−8

Step 3: Add 6 to both sides.

2x−6+6=−8+6

2x=−2

Step 4: Divide both sides by 2.

2x  = -2

/2      /2

x=−1

I hope this helped answer your question! Have a great rest of your day!

Furthermore,  

Chris

5 0
2 years ago
Read 2 more answers
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