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topjm [15]
3 years ago
6

5x + 34 = -2(-7x + 1)​

Mathematics
1 answer:
ale4655 [162]3 years ago
6 0
Expand second bracket
5x+34=14x-2
34+2=14x-5x
36=9x
x=36/9
x=4
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1/3 = x/15 What is the value of x?
zysi [14]

Answer:

\huge\boxed{x=5}

Step-by-step explanation:

\dfrac{1}{3}=\dfrac{x}{15}\qquad\text{cross multiply}\\\\3x=15\qquad\text{divide both sides by 3}\\\\x=5

4 0
3 years ago
What is the new price of s shirt that is on sale for 50% off and has an original price of $50?
satela [25.4K]
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3 years ago
Please answer this correctly without making mistakes
IrinaVladis [17]

Answer:

\boxed{\sf 319:3388}

Step-by-step explanation:

Total number of tickets sold = 3388

Total number of coach tickets = 3069

Total number of first-class tickets = Total number of tickets sold - Total number of coach tickets

= 3388 - 3069

= 319

\therefore

Ratio of the number of first-class tickets to the total number of tickets = 319:3388

8 0
3 years ago
Find the standard form of the equation of the circle with endpoints of a diameter at the points (3,8) and (-7,2)
poizon [28]

(x+2)^{2}+(y-5)^{2}= 34

The equation of a circle in standard form is

(x-a)^{2}+(y-b)^{2}=r^{2}

where (a , b) are the coordinates of the centre and r is the radius

The centre is at the midpoint of the endpoints and the radius is the distance from the centre to either of the 2 endpoints

Using the midpoint formula

midpoint = [\frac{1}{2}(xx_{1}+x_{2}, \frac{1}{2}(y_{1}+y_{2}

where (x_{1},y_{1}=(3,8) and (x_{2},y_{2}=(-7,2)

centre = (\frac{1}{2}(3-7),\frac{1}{2}(8+2)) = (-2,5)

Calculate r using the distance formula

r = √(x_{2}-x_{1})²+(y_{2}-y_{1})²)

= √((3+2)²+(8-5)²) = √(25+9) = √34 ⇒ r² =(√34)² = 34

equation of circle is : (x+2)²+(y-5)² = 34


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See the attached picture:

5 0
3 years ago
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