-8/5+-4/7 is equal to

======================================================

Explanation:

He answered 5/7 of the 35 short-answer questions correctly. So he got (5/7)*35 = 25 of those questions correct. At 2 marks each for these questions, he earned 25*2 = 50 points from this group alone.

There are 35 short-answer questions and 15 long-answer questions. That's 35+15 = 50 questions total.

We're told that he answered 60% of all the questions correctly. So he answered 0.60*50 = 30 questions correctly.

Earlier we found that he answered 25 short-answer questions, which must mean he got 30-25 = 5 long-answer questions done correctly. At 4 marks a piece, Keith earns 5*4 = 20 points in this group.

So overall, he earned 50+20 = 70 points from both types of questions.

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If he got all answers correct, then he would earn 35*2 = 70 points from the short-answer questions and 15*4 = 60 points from the long-answer questions. That's a total of 70+60 = 130 points to get a perfect score.

The ratio of his score to the perfect score is 70:130 which reduces to 7:13 when dividing both parts by the GCF 10.

9514 1404 393

Answer:

  70/130 . . . . reduces to 7/13

Step-by-step explanation:

The problem statement describes 2 kinds of quiz questions, and different relations regarding the numbers of questions answered correctly. The problem asks for the number of marks Keith had relative to the total number of marks.

This means you need to find Keith's marks and the available marks for each question type (4 numbers).

Because of the way the problem tells you the number of long-answer questions answered, additional computations are required to find the total number of questions Keith answered and the number of short-answer questions Keith answered. (The difference of these is the number of long-answer questions answered.) That's 3 more computations.

You have to keep in mind the purpose of each computation and how it fits in to the final result. This is why we label the intermediate results.

Short Answer Marks

There were 35 short-answer questions for 2 marks each. That's a total of ...

  (35)(2) = 70 . . . . marks for all short-answer questions

Keith got 5/7 of those, so got ...

  (5/7)×70 = 50 . . . . Keith's marks for short-answer questions.

__

Long Answer Marks

There were 15 long-answer questions for 4 marks each. That's a total of ...

  (15)(4) = 60 . . . . marks for all long-answer questions

The total number of questions on the quiz was 35 +15 = 50. Keith answered 60% of them, so answered ...

  0.60×50 = 30 . . . . total number of questions Keith answered

We know Keith answered (5/7)(35) = 25 short-answer questions, so must have answered 30-25 = 5 long-answer questions. His marks for those were ...

  (5)(4) = 20 . . . . Keith's marks for long-answer questions

__

Total Marks

Then the total number of marks for all answers on the quiz is ...

  short marks + long marks = 70 +60 = 130 . . . available marks

And Keith's overall score was ...

  (Keith's short marks + Keith's long marks)/(available marks)

  = (50 +20)/130 = 70/130 . . . . Keith's score ratio for the quiz

Answer:

x = - 3, x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given

(2x - 1)(x + 3) = 0

Equate each factor to zero and solve for x

x + 3 = 0 → x = - 3

2x - 1 = 0 ⇒ 2x =  1 ⇒ x = [tex]\frac{1}{2}[/tex]

Answer:

x = 0.5 and -3

Step-by-step explanation:

(2x - 1)(x + 3) = 0

We are solving for the two x values (since this is a polynomial)

(2x-1) = 0/(x + 3)

2x - 1 = 0

2x = 1

x = 1/2 = 0.5

And the second x value

(x + 3) = 0 / (2x - 1)

x + 3 = 0

x = -3

Answer:

a) 1/4

b) 1/6

c) 1/12

Step-by-step explanation:

Let S be the sample space.

S={H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}

n(s) =12

Events

A: coin with head and die with prime number .

B:coin with head and die with composite number.

C:coin with tail and die with even prime number.

a) A={H2,H3,H5}

n(A) = 3

P(A) =n(A)/n(S)

=3/12

= 1/4

b) B={H4,H6}

n(B)= 2

P(B) = n(B)/n(S)

= 2/12

= 1/6

c) C ={T2}

n(C) = 1

P(C) = n(C)/n(S)

= 1/12

Answer:

Quadrant III or 3rd quadrant

Step-by-step explanation:

( - 3, - 9 ) is located in 3rd quadrant.

Answer:

x=1

Step-by-step explanation:

12 - 6x = 2(5x – 2)

12-6x=10x-4

12+4=10x+6x

16=16x

1=x

Answer:

-8 to 162

170/5 =34 is the average rate of change

factor ???

x(x^2 -9)=

x(x+3)(x-3)

Step-by-step explanation:

The solution to the system is the point of intersection.

Since the two lines intersect at point (1/2,0) .

(1/2,0) is the best ordered pair to estimate for the solution to the system

OPTION D is the correct answer.

Answer:3

Step-by-step explanation:

Just count from -1 to positive 2 the dot doesn’t move

There are two shapes a rectangle and a triangle.

Area of a rectangle = Length x width = 10 x 8 = 80 square ft.

Area of triangle = 1/2 x base x height = 1/2 x 6 x 8 = 24 square ft.

Total area = rectangle + triangle = 80 + 24 = 104 square ft.

Answer 104 square ft.

Answer:

104 ft^2

Step-by-step explanation:

First find the area of the rectangle

A = l*w = 10*8 = 80

Then find the are of the triangle

A = 1/2 bh = 1/2 (6) * 8 = 24

Add the areas together

80+24 = 104

Answer:

is there anything underneath it? it says which of the following

Step-by-step explanation:

Answer:

75 ≥ t

Step-by-step explanation:

Answer:  [tex]t \ge 75[/tex]

Explanation: Since t is at least 75 degrees Fahrenheit, this is the same as saying "t = 75 or more". In other words, t = 75 is the lowest we can go. We can consider it a floor value. So that's why we would write that t is greater than or equal to 75.

Answer:

A

Step-by-step explanation:

because when i dentify graph theres y an x

The feasible region of the result is defined by the system of inequalities.

Correct response:

The system of inequalities shown in the graph is given by the option B.

B. y ≤ x + 1

y ≤ x² - 3·x

Please find attached the possible graph of the inequality

The possible graph obtained from a similar question has a straight line portion and a quadratic portion.

Points on the straight line are; (0, 1), (3, 4), and (5, 6)

Therefore;

[tex]Slope \ of \ the \ line = \dfrac{6 - 1}{5 - 0} = 1[/tex]

Equation of the line is; y - 1 = 1 × x

Therefore;

y = x + 1

The shaded region is below the line which gives;

Points on the quadratic graph are; (0, 0), (4, 4), and (2, -2).

The general form of a quadratic equation is; y = a·x² + b·x + c

Therefore, we have;

0 = a × 0 + b × 0 + c

Which gives;

c = 0

4 = a × 4² + b × 4 = 16·a + 4·b

-2 = a × 2² + b × 2 = 4·a + 2·b

4 = 16·a + 4·b...(1)

-2 = 4·a + 2·b...(2)

Multiplying equation (2) by 2 and subtracting from equation (1) gives;

2 × -2 = 2 × (4·a + 2·b) = 8·a + 4·b

-4 = 8·a + 4·b

4 - (-4) = 16·a + 4·b - (8·a + 4·b) = 8·a

8 = 8·a

[tex]a = \dfrac{8 }{8} = 1[/tex]

a = 1

-2 = 4 × 1 + 2·b

2·b = -2 - 4 = -6

[tex]b = \dfrac{-6}{2} = \mathbf{ -3}[/tex]

Which gives;

y = 1·x² - 3·x = x² - 3·x

The line is a solid line and shaded region is the region under the graph which gives;

Therefore;

The inequalities in the graph are given by option B.

B. y ≤ x + 1

y ≤ x² - 3·x

Learn more about graph of inequalities here:

https://brainly.com/question/6749279

Answer:

5 m

Step-by-step explanation:

Find the total length of the shelf by adding together the lengths of the two boards:

1 1/2 + 3 1/2

= 5

So, the total length of the shelf is 5 m

Answer:

Step-by-step explanation:

There are a couple of ways you could solve this problem. B is one of them.

The correct answer is going to be Small hypotenuse / Large hypotenuse = tree / building height

Let the tree equal x

100/220 = x / 176           Multiply both sides by 176

100 * 176 / 220 = x

x = 80

Notice that 80 is almost 1/2 of 176 so the answer should be right since 100 is nearly 1/2 of 220

Answer:

C  router

Step-by-step explanation:

Answers: x = 13 and y = 11

===========================================================

Let's focus on the angle expressions that have x in them.

They are adjacent angles and they form a straight line. So we consider them a linear pair. All linear pair angles always add to 180

(3x+89)+(7x-39) = 180

(3x+7x) + (89-39) = 180

10x+50 = 180

10x = 180-50

10x = 130

x = 130/10

x = 13

We'll use the same idea to find y

(3y+19)+(4y+84) = 180

(3y+4y) + (19+84) = 180

7y+103 = 180

7y = 180-103

7y = 77

y = 77/7

y = 11

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Extra info (optional section)

Let's find the measures of the four angles based on the x and y values we found.

It's not a coincidence that the 3x+89 and 4y+84 angles are equal (to 128). These are vertical angles which are always congruent. The other pair of congruent vertical angles are the 3y+19 and 7x-39 angles.

Note how 128+52 = 180 to help further confirm we have the correct values.

Another thing to notice is that all four angles add up to 360 degrees.

Given:

The slope of a line is [tex]-\dfrac{3}{4}[/tex].

To find:

The lines in the options are parallel, perpendicular or neither parallel nor perpendicular to the given line.

Solution:

We know that the slopes of parallel lines are equal.

The slope of line Q and the slope of given line are same, i.e., [tex]-\dfrac{3}{4}[/tex]. So, the line Q is parallel to the given line.

The slope of a perpendicular line is the opposite reciprocal of the slope of the line because the product of slopes of two perpendicular lines is -1.

The slope of a line is [tex]-\dfrac{3}{4}[/tex]. It means the slope of the perpendicular line must be [tex]\dfrac{4}{3}[/tex]. So, the line N is perpendicular to the given line.

The slopes of line M and P are neither equal to the slope of the given line nor opposite reciprocal of the slope of the line.

Therefore, the lines M and P are neither parallel nor perpendicular.

Answer:

Age of the spear head = 6349 years.

Step-by-step explanation:

Expression to be used to calculate the age of the spear head,

[tex]N_t=N_0e^{-kt}[/tex]

Here, [tex]N_t[/tex] = Final amount of C-14

[tex]N_0[/tex] = Initial amount

[tex]k[/tex] = 0.0001

[tex]t[/tex] = Time in years

If [tex]N_t[/tex] = 53% of [tex]N_0[/tex] = [tex]N_0\times (0.53)[/tex]

[tex]0.53N_0=N_0e^{-0.0001\times t}[/tex]

[tex]0.53=e^{-0.0001t}[/tex]

[tex]\text{ln}(0.53)=\text{ln}(e^{-0.0001t})[/tex]

[tex]-0.634878=(-0.0001)t[/tex]

[tex]t=6348.78[/tex] years

[tex]t[/tex] ≈ [tex]6349[/tex] years

Therefore, age of the spear head = 6349 years.

i'm giving an example

Step-by-step explanation:

Answer

Open in answr app

Correct option is

B



Options A, B and D are equations of lines. We prove that the points in option B don't lie on a line. Consider the line passing through first two points. Its equation is 

2−12y−12=0−(−4)x−(−4)

⟹−10y−12=4x+4

⟹2y−24=−5x−20

⟹5x+2y=4.

If we put (4,−6) into this equation, 

LHS=5×4+2×(−6)=8=4=RHS. Which means that the point (4,−6) does not lie on the line joining the points (−4,12) and (0,2). Which is what we wanted to show.

C and D

In case of A:

-7/-2=-14/-4=-24.5/-7=-28/-8= 3.5

In case if B:

6/-2= 12/-4=21/-7= 24/-8 = -3

In case of C:

4/-2≠ 16/-4≠49/-7≠64/-8

In case of D:

1.4/-2≠2/-4≠2.6/-7≠2.8/-8

Answer:

54? or 5.4 I not really sure but I tried my best

Answer:

66 dollars im pretty sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{-3x}{2}[/tex] = 5

multiply both sides by 2

2 ( [tex]\frac{-3x}{2}[/tex] = 5 )

-3x = 10

divide both sides by  [tex]\frac{-1}{3}[/tex]

[tex]\frac{-1}{3}[/tex] ( -3x = 10 )

x = [tex]\frac{-10}{3}[/tex]

got it?

Answer:

x = -10/3

Step-by-step explanation:

2(-3x/2) = (5)2

-3x = 10

-----    ---

-3     -3

x = -10/3

Answer:

The answer is not a function

Step-by-step explanation:

I think at least

Answer:

Below.

Step-by-step explanation:

The second term should be positive.

The last term should be -1 1/2 not -1 1/4.

He did not correctly multiply -8 and -2.

Answer:

b,c,d

Step-by-step explanation:

(.*_*)hope this helps(- _-.)

Answer:

A

Step-by-step explanation:

5 is 50/1000, and 1/2% is equal to 5/1000

Answer:

A) 55/ 1,000

5 1/2% = 11 / 200 = 55/ 1,000

Answer:

Table 2.

Step-by-step explanation:

Recall that by definition, a linear function increases linearly. That is, the rate of change between any two points is constant.

We can go through each table and verify its rate of change.

Table 1)

For Table 1, note that y = -19 when x = 0.

When x = 1, y = -11. In other words, we added 8 for every increase of one for x.

When x = 2, y = -3. We still increased by 8 for every increase of one for x.

When x = 3, y = 5. Since -3 + 8 = 5, all points in Table 1 shows a constant rate of change.

In conclusion, Table 1 represents a linear function.

Table 2)

For Table 2, note that y = -1.5 when x = 0.

When x = 1, y = -1.5. In other words, we increased by 3 for every increase of one for x.

However, when x = 2, y = 3. This time, we only increased by 1.5 for every increase of one for x. Since the two rates are not equivalent, Table 2 is nonlinear.

Table 3)

Again, note that for Table 3, y = 15 when x = 0.

When x = 1, y = 12. So, we decreased by 3 for every increase of one for x.

When x = 2, y = 9. And when x = 3, y = 6. For both cases, we still decreased by 3 for every increase of one for x.

In conclusion, Table 3 represents a linear function.

Therefore, the table that represents a nonlinear function is Table 2.

Answer:

1) the second one

2) 11

Step-by-step explanation:

for the first one, the answer is the second one. because each term is being multiplied by -9 to get the next term.

the second problem is 11

Answer: 0. 92 = 92%

100% = 500

92% = 500 × 92/100 = 460

Step-by-step explanation: