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UNO [17]
4 years ago
13

Find the solution set of the inequality4x - 1<11.​

Mathematics
2 answers:
Nikitich [7]4 years ago
7 0

Answer:

x<3

Step-by-step explanation:

4x-1<11

4x<11+1

4x<12

divide by 4 each side

x<3

sammy [17]4 years ago
6 0

Answer:

3

Step-by-step explanation:

4× - 1<11

Group like terms

4×<11+1

4×<12

4×/4<12/4

x<3

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Which statement holds true for a skewed histogram showing a distribution of the weights of students in a class?
Vanyuwa [196]
Among the choices, the statement which describes a skewed histogram showing a distribution of the weights of students in a class is:

<span>"The nature of the skew can be verified by the position of the mean with respect to the mode."

The histogram is skewed to the right if the mean is less than the mode and the histogram is skewed to the left if the mean is more than the mode. </span><span />
8 0
3 years ago
I'm confused about this question
lesantik [10]

Answer:

the answer is 3

Step-by-step explanation:

4 0
3 years ago
Two bowls and one cup weigh 800 grams. One bowl and two cups weigh 700 grams. Find the weight of the bowl and the cup
antoniya [11.8K]

Answer:

\large \boxed{\textbf{Bowl = 300 g; cup = 200 g}}  

Step-by-step explanation:

 Let b  = the mass of a bowl  

and c = the mass of a cup  

We have two conditions:  

\begin{array}{lrcl}(1) &2b + c  & = & 800\\(2) & b + 2c & = & 700\\\end{array}

Calculations:  

\begin{array}{lrcll}(3) & 4b + 2c &=  & 1600&\text{ Multiplied (1) by 2}\\& 3b & = & 900&\text{Subtracted (2) from (3)}\\(4) & b & = & \mathbf{300}&\text{Divided each side by 3}\\ & 600 + c & = & 800&\text{Substituted (4) into (2}\\ & c & = & \mathbf{200}\\\end{array}\\\text{The mass of a bowl  is $\large \boxed{\textbf{300 g}}$ and that of a cup is $\large \boxed{\textbf{200 g}}$}

Check:

\begin{array}{rlcrl}2(300) + 200& =800 & & 300 + 2(200) & = 700\\600 + 200 & = 800& & 300 + 400 & = 700\\800 & = 800& & 700 & = 700\\\end{array}

OK.

6 0
3 years ago
2. Two angle measures are in the ratio 5:9. Write
iris [78.8K]

The two angles are x and 9x/5

<h3 /><h3 />

Let the two angles we require be x and y.

<h3 /><h3>Ratio of both angles</h3>

We have that the ratio of both angles are x:y

Since both angles are in the ratio 5:9, we have that,

x:y = 5:9

⇒ x/y = 5/9

<h3 /><h3>Value of the other angle</h3>

So, we Make y subject of the formula

Multiplying both sides by y, we have

y × x/y = 5/9 × y

x = 5y/9

Multiplying both sides by 9, we have

9 × x = 5y/9 × 9

9x = 5y

Dividing both sides by 5, we have

9x/5 = 5y/5

y = 9x/5

So, the two angles are x and 9x/5

Learn more about angles here:

brainly.com/question/14362353

3 0
3 years ago
An insurance agent receives 16% commission on every premium paid. how much commission is paid on a policy with a premium of $497
a_sh-v [17]

Answer:

  $79.63

Step-by-step explanation:

You can figure this by estimating. 16% is a little less than 20%, which is 1/5. $497.69 is almost $500. So, 1/5 of that is almost $100, and a little less than that is about $80. The closest answer choice is $79.63.

__

If you want to figure it exactly, you can do the multiplication ...

  16% of $497.69 = 0.16 × $497.69 = $79.6304 ≈ $79.63

5 0
3 years ago
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