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4 years ago

3x+3=x-4 someone can answer me quickly please

Mathematics

2 answers:

Slav-nsk [51]4 years ago

6 0

Answer:

-7/2

Step-by-step explanation:

First subtract x from both sides:

2x + 3 = -4

Then subtract 3 from both sides:

2x = -7

Finally, to get x, divide both sides by 2

x = -7/2

Ronch [10]4 years ago

3 0

Answer:

x = -7/2

Step-by-step explanation:

3x+3=x-4

Subtract x from each side

3x-x+3=x-x-4

2x +3 = -4

Subtract 3 from each side

2x+3-3 = -4-3

2x = -7

Divide each side by 2

2x/2 = -7/2

x = -7/2

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10m^2 of tiles cover a pool, the pool is shaped as a square, so all four edges are the same, and the depth is constant but not e

nignag [31]

Assume:

Size of sides = x m
Depth of the pool = y m

Therefore, surface area = x^2+4xy =10 m^2

Then, y = (10-x^2)/(4x)

Now,
Volume (V) = x^2*y = x^2*y =x^2(10-x^2)/4x = (10x-x^3)/4 = 1/4(10x-x^3)
For maximum volume, first derivative of volume function is equal to zero.
That is,
dV/dx =0 = 1/4(10-3x^2)
Then,
1/4(10-3x^2) = 0
10-3x^2 = 0
3x^2=10
x= sqrt (10/3) = 1.826 m
And
y= (10-1.826^2)/(4*1.826) = 0.913 m

Therefore,
V= 1.826^2*0.913 = 3.044 m^3

3 0

3 years ago

Which of the following statements is needed in order to prove these triangles are congruent by AAS?

creativ13 [48]

Answer:

$RQ\cong UT$

Step-by-step explanation:

Two triangles are congruent by AAS postulate if two adjacent corresponding angles are congruent and the next adjacent sides to any of the angles is are also congruent. The adjacent sides should not be in between the two congruent angles.

From the triangles RQS and UTV

$\angle R\cong \angle U\\\angle S\cong \angle V$

The adjacent side to $\angle R$ is RQ and for $\angle U$ is UT.

Similarly, the adjacent side to $\angle S$ is QS and for $\angle V$ is TV.

So, the possible sides that could be congruent by AAS postulate are:

$RQ\cong UT$ or $QS\cong TV$

So, the correct option is $RQ\cong UT$

5 0

3 years ago

the circle below has center T. suppose that m UV = 138 degrees and that UW is tangent to the circle at U. find the following

alisha [4.7K]

Angle UTV is basically given: it's 138°.

Moreover, since UTV is isosceles, the other two angles have the same measure x. We thus have

$138+x+x=180 \iff 2x=42 \iff x=21$

So, TUV is 21°, and VUW is complementary, so it must be 69° so that they sum up to 90°

3 0

4 years ago

3(4x + 5) = 12 Which of the following correctly shows the beginning steps to solve this equation?

Contact [7]

The correct answer is A.

Here is the completed problem:

3(4x+5)=12

Distributive property.

3(4x+5)=12

Simplify

12x+15=12

Subtract 15 from both sides.

12x+15−15=12−15

12x=−3

Divide both sides by 12.

12x/12 = −3/12

x= −1/4

8 0

4 years ago

Use the given degree of confidence and sample data to construct interval for the population proportion. Of 369 randomly selected

Alexxx [7]

Answer:

e) (3.77%, 8.70%)

95% confidence interval for the percentage of all medical students who plan to work in a rural community

(3.83% , 8.69%)

95% confidence level for the population proportion who blame oil companies for the recent increase in gasoline prices

(0.406 , 0.454)

Step-by-step explanation:

Step(i):-

Given random sample size 'n' = 369

Sample proportion

$p = \frac{x}{n} = \frac{23}{369} = 0.0623$

95% confidence intervals are determined by

$(p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} })$

$(0.0623 - 1.96 \sqrt{\frac{0.0623(1-0.0623)}{369} } , 0.0623 + 1.96\sqrt{\frac{0.0623(1-0.0623)}{369} })$

(0.0623 - 0.0246 , 0.0623 + 0.0246)

(0.0383 , 0.0869)

(3.83% , 8.69%)

95% confidence interval for the percentage of all medical students who plan to work in a rural community

(3.83% , 8.69%)

Step(ii):-

Given 43% of those polled blamed of companies the most for the recent increase in gasoline prices

sample proportion 'p' = 0.43

Given Margin of error (M.E) = 0.024

95% confidence intervals are determined by

$(p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} })$

$(0.43 - 0.024 } , 0.43 +0.024 )$

(0.406 , 0.454)

Final answer:-

95% confidence level for the population proportion who blame oil companies for the recent increase in gasoline prices

(0.406 , 0.454)

6 0

3 years ago