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Aliun [14]
3 years ago
10

Solve the simultaneous equation.

="TexFormula1" title="4x - 3y = 7 \\ x = 13 - 3y" alt="4x - 3y = 7 \\ x = 13 - 3y" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Lelechka [254]3 years ago
8 0
X = 4       y = 3                                                                                                4x-3y=7           x=13-3y

4(13-3y) -3y =7
52 -12y -3y =7
  -15y=-45
-y=-3       y = 3

x=13-(3*3)
x=13-9
x =4

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Which of the following is a good example of the Reflexive Property of Equality?
DaniilM [7]

Reflexive Property of Equality: a=a, b=b, etc.

Your answer would be: 5=5, as that fits the property.

I hope this helps :)

4 0
3 years ago
 There are 7 Democrats and 6 Republicans on a local city council. A planning committee of 6 for affordable housing needs to be
Brut [27]

Answer:

The probability is 0.383.

Step-by-step explanation:

There are 7 democrats and 6 republicans  

Number of ways in which 4 democrats and 2 republicans can be selected=\[{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}\]

Number of ways in which 5 democrats and 1 republican can be selected= \[{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}\]

Number of ways in which 6 democrats can be selected = \[{}^{7}{{C}_{6}}\]

So, favourable outcomes are \[{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}+{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}+{}^{7}{{C}_{6}}\]

Total possible outcomes =\[{}^{13}{{C}_{6}}\]

Now, probability=\[\frac{Favourable}{Possible}=\frac{{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}+{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}+{}^{7}{{C}_{6}}}{{}^{13}{{C}_{6}}}=0.383\]

Learn more about probability:

brainly.com/question/2561151?referrer=searchResults

7 0
3 years ago
PLS HELP ASAP! Given a cone with a height of 6 cm and a base diameter of 6 cm, what is the volume of the cone? Use 3.24 for π
Sholpan [36]

Answer:

56.52 cm³

Step-by-step explanation:

\boxed{volume \: of \: cone =  \frac{1}{3} \pi {r}^{2}h }

Diameter= 2 ×radius

Radius

= 6 ÷2

= 3cm

Height, h= 6cm

Volume of the cone

=  \frac{1}{3} (3.14)( {3}^{2} )(6)

= 56.52 cm³

5 0
3 years ago
Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour. What is Nina's
Lostsunrise [7]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Given the equation y = 4x - 3.A) If x increases by 1 unit, what is the corresponding change in y? B) If x decreases by 5 units,
DedPeter [7]

Answer:

A) y will increase by 4 unit.

B) y will decrease by 20 units

Step-by-step explanation:

Given equation that shows relation between x and y.

y=4x-3

A) If x is increased by 4 units

   New value of  y =  4(x+1)-3

                              =4x+4-3

                              =4x+1

So, change in y = new value of y- original value of y

                         =4x+1-(4x-3)

                          =4x+1-4x+3

                          =4

Thus, the value of y will be increased by 4 units.

B) If x is decreased by 5 units

   New value of  y =  4(x-5)-3

                              =4x-20-3

                              =4x-23

So, change in y = new value of y- original value of y

                         =4x+1-(4x-3)

                          =4x-23-(4x-3)

                          =4x-23-4x+3

                          = -20

Thus, the value of y will be decreased by 20 units.

7 0
3 years ago
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