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zzz [600]
3 years ago
6

each question sandra answers incorrectly changes her overall score by -3/4 points. sandra's overall score was -4 1/2 points, and

then she answered the last questions incorrectly. What was sandra's final score?
Mathematics
1 answer:
mihalych1998 [28]3 years ago
4 0

Answer:

Sandra's final score is -5\frac{1}{4}.

Step-by-step explanation:

It is provided that each question Sandra answers incorrectly changes her overall score by -3/4 points.

That is, for every incorrect answer Sandra looses 3/4 points.

At a moment Sandra's overall score was -4\frac{1}{2} points.

And then she answered the last questions incorrectly.

Compute the final score as follows:

Final score = Sandra's overall score - \frac{3}{4}

                   =-4\frac{1}{2}-\frac{3}{4}\\\\=-\frac{9}{2}-\frac{3}{4}\\\\=\frac{-18-3}{4}\\\\=-\frac{21}{4}\\\\=-5\frac{1}{4}

Thus, Sandra's final score is -5\frac{1}{4}.

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For which values of a the system has at least one solution: x≤7 x≥a urgent pls help now
allochka39001 [22]

Answer:

We have the system:

x ≤ 7

x ≥ a

Now we want to find the possible values of a such that the system has, at least, one solution.

First, we should look at the value of a where the system has only one solution:

We can write the 2 sets as:

a ≤ x

x ≥ 7

So, writing both together:

a ≤ x ≤ 7

if a is larger than 7, we do not have solutions.

then a = 7 gives:

7 ≤ x ≤ 7

Here the only solution is 7.

Now, if a is smaller than 7, for example 5, we have:

5 ≤ x ≤ 7

Now x can take different values, so we have a lot of solutions.

Then the restrictions for a, such that the system has at least one solution, is:

a ≤ 7.

6 0
3 years ago
PLZ HELP ME, DUE RN!!
mash [69]

Answer:

Step-by-step explanation:

For us to determine the friends that live exactly halfway between any two other friends, we need to determine the midpoint of any two of the coordinates and check whether the coordinate gotten is any of other people coordinates.

Using the coordinates B (22,5)  and Ju (4,5), Using the mid point formula;

m(X,Y) = (\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})\\

X = \frac{x_2+x_1}{2}

X = \frac{22+4}{2}

X = \frac{26}{2}\\ X = 13

Y =\frac{y_2+y_1}{2}\\Y = \frac{5+5}{2}\\Y = \frac{10}{2}\\Y = 5

(X, Y) = (13, 5)

Hence the friend that live half way of B (22,5)  and Ju (4,5) is J(13, 5)

Similarly as above, using the coordinates of M (11,5) and A  (31,5)

X = (11+31)/2

X = 42/2

X = 21

Y = (5+5)/2

Y = 10/2

Y = 5

Midpoint of both friends is (21, 5)

Hence the friend that live half way of M (11,5)  and A (31,5) is Ma(21, 5)

Also, using the coordinates of J (13,5)  and A  (31,5)

X = (13+31)/2

X = 44/2

X = 22

Y = (5+5)/2

Y = 10/2

Y = 5

Midpoint of both friends J and A is (22, 5)

Hence the friend that live half way of J (13,5)  and A (31,5) is B(21, 5)

4 0
3 years ago
Find the difference. 5wx2 − 2wx2<br><br> 3 <br><br> 2wx2 <br><br> 3wx2 <br><br> 4wx2
postnew [5]
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5 0
2 years ago
Let (3, -2) be a point on the terminal side of 0.
saveliy_v [14]

Answer:

sinθ = -0.554

tanθ = -0.667

secθ = 1.203

Step-by-step explanation:

Consider the point (3, -2)

The value of x is positive and the value of y is negative.

It means the the terminal sides of angle lies in 4rth quadrant, such that:

Base = 3

Perpendicular = 2

Hypotenuse² = 2² + 3²

Hypotenuse =  3.61

sinθ = Perpendicular /Hypotenuse

sinθ = 2/3.61

As sine is negative in 4rth quadrant

sinθ = - (2/3.61)

sinθ = -0.554

tanθ = Perpendicular/ Base

tanθ = 2/3

tanθ = 0.667

As tan is negative in 4rth quadrant

tanθ = -0.667

secθ = Hypotenuse/Base

secθ = 3.61/3

secθ = 1.203

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3 0
3 years ago
Please help! what is the value of K
Ad libitum [116K]
F(x) = 2x -3           g(x) = -4x+6 

   g(x) = K f(x) 

- 4x+6 = K( 2x-3)        ⇒   K= -2 

verification

-2 ( 2x-3 )  =  - 4x + 6 

7 0
2 years ago
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