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iVinArrow [24]
3 years ago
9

Your teacher is giving you a test worth 100 points containing 40 questions. There are two-point questions (x) and four-point que

stions (y). How many of each type of question are on the test?
Mathematics
1 answer:
alina1380 [7]3 years ago
5 0

Answer:

There is 30 2 pt questions and 10 4 pt questions

Step-by-step explanation:

x  is number of two-point questions

y is number of four-point questions

There is a total of 100 points.

There is a total of 40 questions.

Now, we solve by substitution

Plug 30 back in to solve for y

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3(2y + 3) = 1(y + 1)
777dan777 [17]

Answer:

 =  − 8/5

Step-by-step explanation:

Distribute

3

(

2

+

3

)

=

1

(

+

1

)

6

+

9

=

1

(

+

1

)

Multiply by 1

6

+

9

=

1

(

+

1

)

6

+

9

=

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1

Subtract  

9

9

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from both sides of the equation

6

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9

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+

1

6

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9

−

9

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−

9

5 0
3 years ago
Read 2 more answers
Haley had 2 blue marbles, 2 red marbles, and 4 green marbles. She gave 1 4 of her marbles to Amy and 2 4 of her marbles to Sue.
Umnica [9.8K]
The amount is 6.
Hope you have a nice day.

7 0
3 years ago
They take 5 days to drive 679 miles to Seattle, how many miles will they drive each day?
Kisachek [45]

If they take 5 days to drive 679 miles to Seattle. Then the number of miles that they drive each day will be 135.8 miles per day.

<h3>What is speed?</h3>

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

They take 5 days to drive 679 miles to Seattle.

Then the number of miles that they drive each day will be

→ 679 / 5

→ 135.8 miles per day.

More about the speed link is given below.

brainly.com/question/7359669

#SPJ2

8 0
2 years ago
Read 2 more answers
PLEASE HELP ASAP!!!<br> best correct answer I will mark brainliest!
notka56 [123]

Answer:

The one on the right

Step-by-step explanation:

The height on the right one matches the height on the net, unlike the left one

4 0
3 years ago
Find the surface area of the solid generated by revolving the region bounded by the graphs of y = x2, y = 0, x = 0, and x = 2 ab
Nikitich [7]

Answer:

See explanation

Step-by-step explanation:

The surface area of the solid generated by revolving the region bounded by the graphs can be calculated using formula

SA=2\pi \int\limits^a_b f(x)\sqrt{1+f'^2(x)} \, dx

If f(x)=x^2, then

f'(x)=2x

and

b=0\\ \\a=2

Therefore,

SA=2\pi \int\limits^2_0 x^2\sqrt{1+(2x)^2} \, dx=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx

Apply substitution

x=\dfrac{1}{2}\tan u\\ \\dx=\dfrac{1}{2}\cdot \dfrac{1}{\cos ^2 u}du

Then

SA=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx=2\pi \int\limits^{\arctan(4)}_0 \dfrac{1}{4}\tan^2u\sqrt{1+\tan^2u} \, \dfrac{1}{2}\dfrac{1}{\cos^2u}du=\\ \\=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0 \tan^2u\sec^3udu=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0(\sec^3u+\sec^5u)du

Now

\int\limits^{\arctan(4)}_0 \sec^3udu=2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17})\\ \\ \int\limits^{\arctan(4)}_0 \sec^5udu=\dfrac{1}{8}(-(2\sqrt{17}+\dfrac{1}{2}\ln(4+\sqrt{17})))+17\sqrt{17}+\dfrac{3}{4}(2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17}))

Hence,

SA=\pi \dfrac{-\ln(4+\sqrt{17})+132\sqrt{17}}{32}

3 0
3 years ago
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