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3 years ago

exam is worth 145 points 50 questions. some are 2 points and some are 5. how many question are 5 and how many are 2

1 answer:

6 0

Let x = number of questions worth 2 and y be those worth 5.

so we have the system:-

x + y = 50
2x + 5y = 145

multiply first equation by -2:-

-2x - 2y = -100

Add this to the second equation:-

3y = 145-100

3y = 45
y = 15

and x = 50-15 = 35

Answer:- there are 35 questions worth 2 points and 15 worth 5 points.

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Someone please help with this and explain your answer!!! I will give brainliest if correct!

Radda [10]

Answer:

the answer is a.

Step-by-step explanation:

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2 years ago

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BC has a midpoint at M(6, 6). Point C is at (2, 10). Find the coordinates of point B.

agasfer [191]

Answer:

The coordinates of B are (10,2)

Step-by-step explanation:

Hi there!

We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)

We want to find the coordinates of point B

The midpoint formula is $(\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})$ , where $(x_1, y_1)$ and $(x_2 , y_2)$ are points. In this case, the point C has the values of $(x_1, y_1)$ , and B has the values of $(x_2 , y_2)$

We know that coordinates of M equal $(\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})$

In other words,

$\frac{x_1 + x_2}{2} = 6\\ \frac{y_1+ y_2}{2}=6$

Let's plug 2 for $x_1$ and 10 for $y_1$

So:

$\frac{2 + x_2}{2} = 6\\ \frac{10+ y_2}{2}=6$

Multiply both sides by 2

${2 + x_2} = 12\\{10+ y_2} =12$

Subtract 2 from both sides in the first equation to find the value of $x_2$ :

$x_2=10$

Now, for the second equation, subtract 10 from both sides to find the value of $y_2$

$y_2=2$

Now substitute these values for $(x_2, y_2)$

$(x_2, y_2)=(10,2)$

So the coordinates of point B are (10, 2)

Hope this helps!

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3 years ago

( - 7a'y + xy + 3x + 2) + (5r²y – 5cy - 6x – 7)

AlladinOne [14]

Answer:

Adding ( - 7a'y + xy + 3x + 2) + (5r²y – 5cy - 6x – 7) will equal to

−7ya'+xy+5r2y−5cy−3x−5

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3 years ago

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Max is saving to buy a bicycle. The bicycle he wants costs $150.00. Max has already saved $95.00. Write an equation that can be

Setler [38]

1. For the first question, asking to write an equation for how much more Max needs to save up, It would simply be 95.00 + n = 150.00.
This is because he has $95 and needs $n more to get to the final amount of $150.

2. For the second question, asking which number being substituted for n makes the equation true, isolate n in the equation to find what it equals. To do this, subtract 95 from both sides.
95 + n - 95 = n < This isolates the variable.
150 - 95 = 55
This means n = 55 (fifty five)

3. The inequality is a bit more complicated since it says less than $5 per week. The way I'd do it would get some kind of answer but because I haven't done inequalities like this in a while, I unfortunately can't help you with this part. I can say, however, that it more than likely has something to do with being between two values, but I'm not sure. Sorry for the inconvenience.

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3 years ago

Y=4x-2y and y=x+3 estimate the solutions to the systems of equations

polet [3.4K]

Answer:

3y=4x

y=4x/3

4x/3=x+3

x/3=3

X=9

y=12

(9,12) this is the answer

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2 years ago