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Deffense [45]
3 years ago
13

Which situation can be modeled by the inequality 3x+7<13?

Mathematics
1 answer:
natali 33 [55]3 years ago
6 0

Answer:

5x+3/4x-7≥2, can anyone solve this inequality and show the step by step method of doing it

Step-by-step explanation:

Hope this helps!

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The heights (in cm) and arm spans (in cm) of 31 students were measured. The association between (height) and (arm span) is shown
sergeinik [125]

Answer: Mike's arm span is 7.165 cm longer than the George's one.

Step-by-step explanation:

We have that the association between height and arm span is modeled by the equation

y = 4.5 + 0.977*x

where y is height and x is arm span.

Mike is 172 cm tall, so his arm span is:

172cm = 4.5 + 0.977*x

x = (172 - 4.5)/0.977 = 171.443 cm

and George is 165 cm tall, so his arm span is:

x = (165 - 4.5)/0.977 = 164.278 cm

Then the difference between their arm span is:

171.443cm - 164.278cm = 7.165 cm

So Mike's arm span is 7.165 cm longer than the George's one.

6 0
4 years ago
89,74,92,80, the mean score is 79 what the number is missing???
katrin2010 [14]

The missing number in the given data that has a mean of 79 is: 60.

<h3>How to Find the mean of a Data?</h3>

The mean of a data set is simply the average, that is, it is the sum of all data values divided by the number of data values.

Let x represent the missing number in the data. If the mean is 79, we would have the following:

(89 + 74 + 92 + 80 + x)/5 = 79

(335 + x)/5 = 79

335 + x = 5(79)

335 + x = 395

x = 395 - 335

x = 60

Missing number is: 60.

Learn more about about the mean of a data on:

brainly.com/question/11015069

#SPJ1

7 0
2 years ago
A 14.5 kg rocket is launched by an engine that exerts an average force of 8.00 N. What is
zysi [14]
Prob 116 m/s2 ??????????????
7 0
3 years ago
Read 2 more answers
Find the break - even points for company X, which sells all it produces, if the variable cost per unit is $3, fixed costs are $2
ohaa [14]

Given:

The variable cost per unit is $3, fixed costs are $2.

The revenue function is:

Y_{TR}=5\sqrt{q}

where q is the number of thousands of units of output produced.

To find:

The break - even points for company X.

Solution:

The variable cost per unit is $3, fixed costs are $2.

So, the cost function is:

Total cost = Fixed cost + Variable cost × Quantity

Y_{TC}=2+3q

The revenue function is:

Y_{TR}=5\sqrt{q}

At break - even points the profit is zero. It means the cost and revenue are equal.

Y_{TC}=Y_{TR}

2+3q=5\sqrt{q}

Squaring both sides, we get

(2+3q)^2=(5\sqrt{q})^2

2^2+2(2)(3q)+(3q)^2=25q

4+12q+9q^2-25q=0

4-13q+9q^2=0

Splitting the middle term, we get

4-4q-9q+9q^2=0

4(1-q)-9q(1+q)=0

(4-9q)(1-q)=0

Using zero product property, we get

4-9q=0 and 1-q=0

q=\dfrac{4}{9} and q=1

q\approx 0.444 and q=1

Therefore, the break even points are 0.444 and 1.

3 0
3 years ago
What is the slope of the line described by the equation below?
DIA [1.3K]

Answer:

B because when you compare y= mx+ c where M is the slope or gradient

5 0
3 years ago
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