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Olin [163]
3 years ago
12

Your history teachers is going to give you a 92 point assessment. There are 2 point questions and 3 point questions. If there is

a total of 40 questions on the assessment, how many questions are worth 2 points?
Mathematics
2 answers:
Sedaia [141]3 years ago
6 0

Answer: 28

Step-by-step explanation:

Let x be the number of 2 mark questions

Let y be the number of 3 mark questions

x+y=40. ---------------(1)

2x+3y=92 ---------------(2)

Solve equation (1) for y

y=40−x

Substitute

y=40−x in equation (2)

2x+3(40−x)=92

2x+120−3x=92

2x−3x=92−120

−x=−28

x=28

Substitute

x=28 in equation (1)

28+y=40

y=40−28=12

Number of 2 mark questions

=28

Number of 3 mark questions

=12

Temka [501]3 years ago
4 0

Answer:

28

Step-by-step explanation:

x = 2 point questions, y = 3 point questions

x + y = 40

2x + 3y = 92

Solving this we get x = 28, y = 12 so the answer is 28.

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Pls can some one help if you like
Snezhnost [94]
Slope is rise/run
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slope=4/3

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4 0
3 years ago
Write the equation of the line passing through the point (-4 "-7)" and (8 "-17)"
kicyunya [14]

Answer:

y  = -\dfrac{5}{6} x -\dfrac{31}{3}

In order to find equation:

<u>Find slope</u>:

\sf  slope: \dfrac{y_2 - y_1}{x_2- x_1}  = \dfrac{rise}{run}

\rightarrow \sf slope:  \dfrac{-17-(-7)}{8-(-4)}

\rightarrow \sf  slope: -\dfrac{5}{6}

Then find equation using:

y - y1 = m(x -x1) where (x1, y1) are points, m is slope

\sf \rightarrow y - (-17) = -\dfrac{5}{6} (x - 8)

\sf \rightarrow y  = -\dfrac{5}{6} x + \dfrac{20}{3} -17

\sf \rightarrow y  = -\dfrac{5}{6} x -\dfrac{31}{3}

5 0
2 years ago
Solve for x in the triangle.Round your answer to the nearest tenth.
enyata [817]

sin = opposite/hypotenuse

sin 40° = 12/x

Cross multiply.

0.64278760968x = 12

Divide both sides by sin 40°.

x = 18.7 (rounded to nearest tenth).

5 0
3 years ago
Read 2 more answers
Alicia, Quentin, and Rosalyn are siblings. Alicia is the oldest sibling. Quentin is four years younger than Alicia. Rosalyn is t
tatiyna

Answer:

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

Step-by-step explanation:

Let the age of Alicia be x

Let the age of Quentin be y

Let the age of Rosalyn be z

If the sum of the siblings’ ages, in years, is 48 then;

x+y+z = 48.... 1

If Rosalyn is two years older than Quentin then;

z =y+2 ..... 2

Also if Quentin is four years younger than Alicia then;

y = x-4 ... 3

From 3:

x = y+4 ... 4

Substitute 2 and 4 into 1 to have:

y+4+y+y+2 = 48

3y + 6= 48

3y = 48-6

3y= 42

y = 14

Since x= y+4

x = 14+4

x = 18

Since z = y+2

z = 14+2

z = 16year

This means that;

Alicia is 18years

Quentin is 14years

Rosalyn is 16years

6 0
3 years ago
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