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KonstantinChe [14]

3 years ago

9

Joaquin can read one comic book in 15 minutes. Write and solve an equation to determine how many comic books he can read in 75 m

inutes.

1 answer:

Romashka [77]3 years ago

8 0

Joaquin can read 5 comic books in 15 minutes. 75 divided by 15 = 5.

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Combine each pair of equations solve the combined equation 3j +14=-5z-10j=5z

ArbitrLikvidat [17]

Given data:

The first equation is 3j +14=-5z.

The second equation is -10j=5z .

Add both the equations.

$\begin{gathered} (3j+14)+(-10j)=-5z+5z \\ -7j+14=0 \\ 7j=14 \\ j=2 \end{gathered}$

Substitute 2 for j in the first equation.

$\begin{gathered} 3(2)+14=-5z \\ 20=-5z \\ z=-4 \end{gathered}$

Thus, the value of j is 2 and z is -4.

3 0

1 year ago

You walk into a store that is closing. the pants normally cost $60.00 but it is discounted 75% they are also taking additional 2

eimsori [14]

Answer:

The final cost of the pants is $ 12.

Step-by-step explanation:

Given that at a store that is closing the pants normally cost $ 60.00 but it is discounted 75%, and they are also taking an additional 20% off, to determine what is the final price for the pants, the following calculation must be performed:

100 - 20 = 80

(60 - (60 x 0.75)) x 0.80 = X

(60 - 45) x 0.80 = X

15 x 0.80 = X

12 = X

Thus, the final cost of the pants is $ 12.

7 0

2 years ago

Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the s

Svetlanka [38]

Answer: $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

Step-by-step explanation:

Given

Quadratic equation is

$x^2-12x+15=0$

Solving by completing the square method

$\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}$

The solution set of the equation is $6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}$

6 0

3 years ago

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Find the x- and y- intercepts of the graph of each equation. 2x+3y=6

Eva8 [605]

X = 3 that is you x intercept
y = 2 that is your y intercept

8 0

3 years ago

Alvin’s age is two times Elga’s age. The sum of their age is 60. What is Elga’s age?

Nady [450]

x = Elgas age

2x = Alvins age

x +2x = 60

3x =60

x = 60/3 = 20

Elga is 20 years old

4 0

3 years ago