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tekilochka [14]
3 years ago
15

1) Marcus went bowling and paid $5 to rent shoes and each game he bowling cost $3. If Marcus spent at most $20, how many games w

as he able to bowl? (Write the inequality and solve.)
Mathematics
1 answer:
Arturiano [62]3 years ago
6 0
I'll walk you through this. First subtract 5 from 20 because of shoes. This leaves you with 15 dollars for games. You would divide 15 dollars into 3 dollars a game. Your answer would be 5 games.
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ΔABC is dilated by a factor of 3 to produce ΔA'B'C'.
Rus_ich [418]

Answer:

Option B

Step-by-step explanation:

Dilation does not change the value of angle.

so angle measurement should be same as before .

Angle A= 37

Scale factor is 3 so multiply length by 3

So A'C'= 3×5 =15

7 0
2 years ago
10+200+0=——— what can you do with this
musickatia [10]

Answer:

210

Step-by-step explanation:

you can do 200 + 10 = 210

You can also do 200 + 1 x10

5 0
3 years ago
Read 2 more answers
Which of the following is a solution to the following system of inequalities?
iren2701 [21]

Option D: (0,3) is the solution to the inequalities.

Explanation:

From the given graph, we can see that the equation of the inequalities are

$y>-x+1$ and $y\leq 2 x+3$

To determine the coordinate that satisfies the inequality, let us substitute the coordinates in both of the inequalities $y>-x+1$ and $y

Thus, we have,

Option A: (1,-1)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies-1>0 is not true.

$y\leq 2 x+3 \implies -1\leq 5 is true.

Since, only one equation satisfies the condition, the coordinate (1,-1) is not a solution.

Hence, Option A is not the correct answer.

Option B: (-4,0)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies0>5 is not true.

$y\leq 2 x+3 \implies 0\leq -5 is not true.

Since, both the equations does not satisfy the condition, the coordinate (-4,0) is not a solution.

Hence, Option B is not the correct answer.

Option C: (3,-2)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies-2>-2 is not true.

$y\leq 2 x+3 \implies -2\leq 9 is true.

Since, only one equation satisfies the condition, the coordinate (3,-2) is not a solution.

Hence, Option C is not the correct answer.

Option D: (0,3)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies3>1 is true.

$y\leq 2 x+3 \implies 3\leq 3 is true.

Since, both equation satisfies the condition, the coordinate (0,3) is a solution.

Hence, Option D is the correct answer.

4 0
3 years ago
Pre calculus help!! pH of substance which has a hydronium ion concentration? help please!!
disa [49]

-log(5.4x10^-9) = 8.27 = 8.3

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7 0
3 years ago
What is the equation of the line that passes through the point (4, 6) and is parallel to the line 2y - 4x = 1?
Cloud [144]

Answer:

D. y = 2x - 2

Step-by-step explanation:

1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:

2y-4x = 1\\2y = 4x+1\\y = 2x+\frac{1}{2}

A line placed in slope-intercept form is represented by the formula y = mx + b. The m, or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.

2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.

We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.

Use the point-slope formula y-y_1 = m (x-x_1) and substitute values for m, x_1, and y_1. Since m represents the slope of the line, substitute 2 in its place. Since x_1 and y_1 represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct:

y-6 = 2(x-4)\\y-6 = 2x-8\\y = 2x-2

So, option D is correct.  

7 0
3 years ago
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