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ahrayia [7]
3 years ago
6

Michelle tried to solve an equation step by step. \begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45

+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned} t− 5 3 ​ t− 5 3 ​ + 5 3 ​ t ​ = 5 4 ​ = 5 4 ​ + 5 3 ​ =1 ​ Step 1 Step 2 ​ Find Michelle's mistake. Choose 1 answer: Choose 1 answer:
Mathematics
1 answer:
sashaice [31]3 years ago
3 0

Answer:

Step 2

Step-by-step explanation:

Michelle's step in trying to solve the equation is given below:

\begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned}

Michelle made a mistake in Step 2.

The right hand side of Step 1:  \dfrac45+\dfrac35\neq 1

Rather, the correct sum is:

\dfrac45+\dfrac35=\dfrac75\\\\=1\dfrac25

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In ΔKLM, the measure of ∠M=90°, the measure of ∠K=78°, and KL = 35 feet. Find the length of MK to the nearest tenth of a foot.
Margaret [11]

Answer:

7.3 feet

Step-by-step explanation:

osK=

hypotenuse

adjacent

​

=

35

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​

\cos 78=\frac{x}{35}

cos78=

35

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35\cos 78=x

35cos78=x

Cross multiply.

x=7.2769\approx \mathbf{7.3}\text{ feet}

x=7.2769≈7.3 feet

Type into calculator and round to the nearest tenth of a foot.

4 0
3 years ago
Read 2 more answers
What error did zacharias make? the –5 should be 5. the 52 should be –52. the 2 in the numerator should be –2. the 2 in the denom
Contact [7]

The error made by zacharias in solving the quadratic equation 0 = -2x² + 5x - 3 using quadratic formula is; the 2 in the numerator should be –2.

<h3>Quadratic equation</h3>

There are four methods of solving quadratic equation. Namely;

  • Factorization method
  • Completing the square method
  • Graphical method
  • Formula method

0 = -2x² + 5x - 3

  • Using quadratic formula

x = -b ± √b² - 4ac / 2a

where,

  • a = -2
  • b = 5
  • c = -3

x = -b ± √b² - 4ac / 2a

x = -5 ± √5² - 4(-2)(-3) / 2(-2)

= -5 ± √25 - (24) / -2

= -5 ± √1 / -2

= -5/2 ± 1/2

= -5/2 - 1/2 or x = -5/2 + 1/2

= -5-1 / 2 or -5+1/ 2

x = -6/2 or -4/2

x = -3 or -2

Therefore, the solution to the quadratic equation is x = -3 or -2

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6 0
1 year ago
Which of the following represents the factored form of f(x) = x3 − 81x?
sladkih [1.3K]
You're original equation has a -81, so the factored form will have to have a positive and negative multiplying one another to achieve that...

f(x) = x(x + 9)(x - 9)
3 0
3 years ago
Read 2 more answers
What is the measure of <br> A. Cannot be determined <br> B. 74<br> C. 16<br> D. 32
Levart [38]
The answer would be D. 32

Why? The triangle in the problem is an isosceles triangle. That means the two legs of the triangle are equal and the angle opposite to the equal legs are also equal. 

Therefore, angle C is also 74°. 

The sum of the interior angles of a triangle is equal to 180°.
Thus, 
      180° = ∡A + ∡B + ∡C
      180° = 74° + ∡B + 74°
      180° = 148° + ∡B
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3 0
2 years ago
Herbert has sold 99, 37, 86, and 73 copeirs in the last 4 months, respectivly. How many copiers will he need to sell this month
jolli1 [7]

Answer:

Therefore 80 ceperies will he need to sell this month.

Step-by-step explanation:

Average: Average is the ratio of sum of all numbers to the total number present in the data.

Given that Herbert has sold 99, 37, 86 and 73 copeirs in the last 4 months.

Let he need to sell x copeirs in this month.

According to the problem,

\frac{99+37+86+73+x}{5}=75

⇒ 99+37+86+73+x= 75×5

⇒295 + x= 375

⇒x = 375 - 295

⇒ x= 80

Therefore 80 ceperies will he need to sell this month.

3 0
3 years ago
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