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3 years ago

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What is the solution set to the inequality 7z+5>47

1 answer:

Vsevolod [243]3 years ago

5 0

Answer:

$z>6$

<h2>Step-by-step explanation:</h2>

7z+5>47

Remove the 5:

$7z+5-5>47-5\\7z>42$

Divide by 7 to get z by itself:

$\frac{7z}{7} >\frac{42}{7} \\z>6$

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To get the answer we can use proportion
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3 years ago

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saveliy_v [14]

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2 years ago

Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)

lisov135 [29]

Answer:

(a) The system of the equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ has no solution.

(b) The system of the equations $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ has many solutions $y=\frac{2x}{3}-\frac{5}{3}$

Step-by-step explanation:

(a) To find the solutions of the following system of equations $\left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right.$ you must:

Multiply $2x-3y=3$ by 2:

$\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}$

Subtract the equations

$4x-6y=3\\-\\4x-6y=6\\------\\0=-3$

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system $\left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right.$ you must:

Isolate x for $4x-6y=10$

$x=\frac{5+3y}{2}$

Substitute $x=\frac{5+3y}{2}$ into the second equation

$16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40$

The system has many solutions.

Isolate y for $4x-6y=10$

$y=\frac{2x}{3}-\frac{5}{3}$

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3 years ago

PLEASE HELP ASAP A glass stand to display a doll is in the shape of a right triangular pyramid. The area of the base is 40.5 squ

Effectus [21]

Answer: $202.5\ in.^3$

Step-by-step explanation:

Given

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2 years ago

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insens350 [35]

Answer:

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Step-by-step explanation:

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3 years ago