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RSB [31]
2 years ago
7

Divide. Enter the quotient in simplest form. 3/10 ÷ 4/5 =

Mathematics
1 answer:
Tju [1.3M]2 years ago
7 0

Answer:

<h2>3/10 ÷ 4/5 = 3/8</h2>

Step-by-step explanation:

<h2>3/10 ÷ 4/5 = 0.375 = 3/8</h2>
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The work of a student to solve the equation 3(3x − 4) = 8 + 2x + 5 is shown below: Step 1. 3(3x − 4) = 8 + 2x + 5 Step 2. 6x − 7
Mamont248 [21]

Answer:

  (a)  Step 2. 9x -12 = 13 +2x

Step-by-step explanation:

The distributive property says a factor outside parentheses multiplies each term inside parentheses. It is an error to do addition of the factor, or to miss multiplying a term.

In Step 2 of this "solution", the factor of 3 is erroneously <em>added</em> to each coefficent inside parentheses. It should be <em>multiplied</em>.

Correct Step 2: 9x -12 = 13 +2x

__

The rest of the solution should be ...

  Step 3: 9x -2x = 13 +12

  Step 4: 7x = 25

  Step 5: x = 25/7

___

<em>Check</em>

  3(3(25/7) -4) = 8 + 2(25/7) +5

  3((75 -28)/7) = 13 +50/7

  141/7 = 141/7 . . . . . answer checks OK

8 0
2 years ago
What is the solution to 1−∣1/3q−5∣=−6.
stealth61 [152]

the answer would be q=36,-6

5 0
3 years ago
you are in the research and development department at Jiffy Pop. the company is trying to come up with the new and improved popc
Monica [59]
Let L be the length of the box that the company aims to manufacture. With this representation, the width of the box is equal to L - 2 and the height is equal to L + 5. The volume of the box is equal to the product of the length, width, and height. That is,
                          A = L x (L - 2) x (L + 5) = 24

The value of L from the equation is 3 inches. 

The dimension of the box are as follow: 
length = L = 3 inches
width = L - 2 = 1 inch
height = L + 5 = 8 inches

7 0
3 years ago
Solve (x^2+2xy+y^2)(X+1)<br><br> Show steps
AleksandrR [38]

Answer:

\large\boxed{x^3+x^2+2x^2y+2xy+xy^2+y^2}

Step-by-step explanation:

Use FOIL: <em>(a + b)(c + d) = ac + ad + bc + bd</em>

<em />

(x^2+2xy+y^2)(x+1)\\\\=(x^2)(x)+(x^2)(1)+(2xy)(x)+(2xy)(1)+(y^2)(x)+(y^2)(1)\\\\=x^3+x^2+2x^2y+2xy+xy^2+y^2

4 0
3 years ago
From a sample of 37 graduate​ students, the mean number of months of work experience prior to entering an MBA program was 35.15.
kiruha [24]

Answer: (29.35, 40.95)

Step-by-step explanation:

Formula to find the confidence interval for population mean :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}

, where \overline{x} = sample mean.

z*= critical z-value

n= sample size.

\sigma = Population standard deviation.

As per given , we have

\overline{x}=35.15

\sigma=18

n= 37

Using z-table, the critical z-value for 95% confidence = z* = 1.96

Then, the confidence interval for the population mean will be :

35.15\pm (1.96)\dfrac{18}{\sqrt{37}}

=35.15\pm (1.96)\dfrac{1.7}{6.08276}

=35.15\pm (1.96)(2.95918)

\approx35.15\pm5.80

=(35.15-5.80,\ 35.15+5.80)=(29.35,\ 40.95)

Hence, a 95​% confidence interval for the population​ mean = (29.35, 40.95)

8 0
3 years ago
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