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EleoNora [17]
3 years ago
7

How many solutions are possible for the equation 5(x-3)=7x-2(x+)1

Mathematics
1 answer:
3241004551 [841]3 years ago
5 0
<span>5(x-3)= 7x-2(x+)1

5x - 15 = 7x - 2x + 1

5x - 15 = 5x + 1

-5x         -5x

-  15 = 1 

NO SOLUTIONS because -15 is not equal to 1 </span>
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Find the volume of the triangular prism in the picture shown. Round your answer to the
Olenka [21]

Given:

A figure of a triangular prism.

Height of triangular base = 9\dfrac{2}{3} yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

V=Bh              ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

B=\dfrac{1}{2}\times base\times height

B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}

B=2\times \dfrac{29}{3}

B=\dfrac{58}{3}

Putting B=\dfrac{58}{3} and h=4 in (i), we get

V=\dfrac{58}{3}\times 4

V=\dfrac{232}{3}

V=77.33...

V\approx 77.3

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

4 0
3 years ago
At a regional soccer​ tournament, tickets for two adults and seven students cost ​$60. Tickets for three adults and eleven stude
den301095 [7]

Answer:

The price of an adult ticket is $9 and the price of a student ticket is $6

Step-by-step explanation:

Create a system of equations where x is the price of an adult ticket and y is the price of a student ticket:

2x + 7y = 60

3x + 11y = 93

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2, to cancel out the x terms:

6x + 21y = 180

-6x - 22y = -186

Add them together:

-y = -6

y = 6

Then, plug in 6 as y into one of the equations to solve for x:

2x + 7y = 60

2x + 7(6) = 60

2x + 42 = 60

2x = 18

x = 9

So, the price of an adult ticket is $9 and the price of a student ticket is $6

8 0
3 years ago
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SCORPION-xisa [38]

Answer:

The answer is "96.864 ml".

Step-by-step explanation:

In this question, the formula of \bold{CI = X \pm t \times s}.

( where X is the mean, t is the coefficient, and s is the mean difference error)

As a result, only 2.5% of containers might include less than 100 ml of volume, its trust coefficient could indeed be used in accordance with 95%, which is t=1.96.  

And it can take \pm \ 1.6 \ ml to have been the full value the standard infinite:  \to CI = 100 \pm (1.96 \times 1.6) \\\\

         = 100 \pm (3.136) \\\\

Consequently, if the standard error is  \pm \ 1.6 \ ml , a similar amount should be used to fill  

= 100 - 3.136 \\\\= 96.864 \ \ mL

5 0
3 years ago
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nadezda [96]

Answer:

5

Step-by-step explanation:

no matter how many times you try you can get 5

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Answer:

Step-by-step explanation:

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