Use an algebraic approach to solve the problem.

Aura took three biology exams and has an average score of 87. Her second exam score was 11 points better than her first, and her third exam score was 5 points better than her second exam. What were her three exam scores?

Answers

Answer 1

Answer:

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Step-by-step explanation:

Use the formula for the mean: sum of elements / number of elements

Let x represent her first exam score.

Her second exam score can be represented by x + 11, since it was 11 points better than her first.

Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.

Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):

mean = sum of elements / number of elements

87 =  ( (x) + (x + 11) + (x + 11) + 5 ) / 3

Add like terms and solve for x:

87 = (3x + 27) / 3

261 = 3x + 27

234 = 3x

78 = x

So, her first score was a 78.

Find her second score by adding 11 to this:

78 + 11 = 89

Find her third score by adding 5 to the second score:

89 + 5 = 94

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.


Related Questions

choose the pair of sets which is equivalent

Answers

Answer:

set ={Sunday,Monday,Tuesday,Wednesda,Thursda,Friday, Saturday} and set={1,2,3,4,5}

Step-by-step explanation:

To be equivalent, the sets should have the same cardinality.

Use the drop-down menus to correctly relate each pair of numbers
manee help meh son

Answers

Answer:

Sorry for the late response, I had to have lunch.

1. >

2. =

3. <

4. >

Step-by-step explanation:

Have a great summer :)

what is this app and why are you reading this

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Brainly, I’m looking for questions to answerrrrrr

Write the equation of the line that passes through the points (-8,-1) and (−2,9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

not sure if understood you; slope: (-1-9)/(-8+2)=-10/-6=5/3, y-int: -1-(-40/3)=37/3; y=5/3x+37/3

The button on David's coat has a radius of 4
millimeters. What is the button's diameter?

Answers

Answer:

0.013

I think.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

So there are two things that must be remembered.

The radius is half of the diamater. It is the distance from the side of a circle to its center.

The diamater is two times the radius. It is the distance from one side of the circle to the opposite side of the circle.

In this case, we know the radius is 4.

The radius is half of the diamamter, or the diamater is two times the radius.

This can be though of as:

2r=d

Or

1/2d=r

So lets plug 4 in for r:

2*4=d = 8=d

1/2d=4 = 2*1/2=4*2 = 1d=8

So using either of these formulas, we find d is equal to 8.

Hope this helps!

Help me pls
this is very important

Answers

Answer:

C/3rd one. (y=2x+4)

Step-by-step explanation:

In the equation y=mx+b, m=slope of the line and b=y-intercept. From the graph, we know the y-intercept is 4 so we can write y=mx+4. To find the slope: (0-4)/(-2-0) = (-4)/(-2) = 2. We can replace the m with 2 to get the final equation of y=2x+4 which is also the third answer.

Helppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

1/ 3^6

Step-by-step explanation:

We know that a^b / a^c = a^(b-c)

3^-7 / 3^-1 = 3^(-7 - -1) = 3^(-7+1) = 3^(-6)

We know that a^ -b = 1/ a^b

3^-6 = 1/ 3^6

In a right triangle, sin(40 - 2) = cos(32)'. What is the value of x?
O 10
O 15
O 20
O 25

Answers

Answer:

x = 25

Step-by-step explanation:

Correct question

In a right triangle Sin (40-x)=cos(3x) what is the value of x

Since Sin theta = Cos(90-theta)

Sin (40-x) = Sin(90-3x)

40 - x = 90 - 3x

-x+3x = 90 - 40

2x = 50

x = 25

Hence the value of x is 25

how to solve -4x+8y=-16
4x+3y=5

Answers

Answer:

X=2, y=-1

Step-by-step explanation:

-4x +8y=-16 equation 1

4x +3y=5 equation 2

     11y=-11 add two equations to eliminate x

y=-1

solve for x by inputting y value into either equation

4x+3y=5

4x+3(-1)=5

4x-3=5

4x=8

x=2

2. The average daily rainfall in London during April was 3.5 mm. How much rain fell during the month?​

Answers

Answer:

105mm

Step-by-step explanation:

To find the rainfall during the month of April simply multiply the number of days in April times the average daily rainfall

Number of days in April: 30

Average daily rainfall: 3.5mm

Rainfall during the month = 30 * 3.5 = 105mm

Evaluate the expression below when y = 3. If needed, answer as a fraction or a decimal.
y⋅5y+2

Answers

Answer:

-10

Step-by-step explanation:

y-5y+2

=3-5 x 3+2

Using the rule of BODMAS

=3-15+2

=3-13

= -10

OladipoSeun♡˖꒰ᵕ༚ᵕ⑅꒱

What is the simplified form of [tex]3\sqrt{135}[/tex]?

Answers

The answer is: [tex]9\sqrt{15}[/tex]

=5.12992784
Rounded to the nearest 1d.p would be 5.1
And to the nearest whole number it would be 5

Which solution finds the value of x in the triangle below?

Answers

Answer: B

Step-by-step explanation:

The answer would be B.

how much work is done when you lift an object that weighs 150 N to a height of 5 meters​

Answers

Answer:

Work done = 150 x 5  = 750 J

Step-by-step explanation:

Work done is the measure of energy transferred to an object when a force is added causing the object to move a distance in the direction of the force.

The equation for work done is force time the distance and is measured in Joules. Therefore the formula is W = F x D

work done (W) is measured in joules (J)

force (F) is measured in newtons (N)

distance (d) is in the same direction as the force and is measured in

metres (m)

W = F x D

w = 150 x 5

W = 750 J

decompose 17x^3+7x^2-17x-7 divided by (x-1)^2(x+1)^2 into partial fraction​

Answers

..........................................................................................................................................................................................................................................................................................................................................................................................................................................................

4 x − 3 x + 2 y (simplify)

Answers

[tex]\huge\text{Hey there!}\\\\\large\text{4x - 3x + 2y}\\\\\large\text{\underline{\underline{COMBINE the LIKE TERMS}}}\\\\\large\text{(4x - 3x) + 2y}\\\\\large\text{4x - 3x = \bf 1x }\large\text{(or you could simply say \underline{x} because a variable by itself}\\\large\text{is understood as an invisible 1)}\\\\\large\text{\bf x + 2y}\\\\\\\boxed{\boxed{\huge\text{Therefore your answer is: x + 2y}}}\huge\checkmark\\\\\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Find the value of angle y

Answers

Answer:

116

Step-by-step explanation:

116 is parallel to y so that are the same its called corresponding angles

When a transversal cuts two parallel lines, the corresponding angles are equal.

In the given figure, the corresponding angles are 116° and y

So, they are equal

⇒   y = 116°

what number represents the same amount as 4 tens+0 ones

Answers

Answer: 40

4 tens= 10+10+10+10=40
and there’s no one’s so it’s just 40

hope that helped!
Y=Mx+b thanks for the pound

Raffle tickets cost $6 for 5 tickets. What is the price of 1 ticket? How many tickets can you get for $90​

Answers

Answer:

1 ticket is worth 1.2$

90$ gets you 75 tickets

Step-by-step explanation:

t=ticket(s)

6=5t

6/5=t

90/(1.2)=75

Answer:

1 ticket = $1.2

Step-by-step explanation:

group the like terms separately? 3v^5-10v^2-12v^5+14v^2​

Answers

so here you just add them as if they were regular numbers. -9v^5+4v^2, hope it helped.

2. Dado un número, la suma de su mitad, su doble y su triple es 55. ¿Qué número es?

Answers

Answer:

English

Step-by-step explanation:

can you speak English plzzz

we need that

Answer:

i dont speak taco ask again in english

Step-by-step explanation:

Find the distance between the points given.
(-3,-4) and (0,0)

Answers

Answer: 5 Units

Step-by-step explanation:

Two vertices of a right triangle have the coordinates (-2, 5) and (9, 5). What is the length of the side formed by these vertices?

Answers

Answer:

11 unit

Step-by-step explanation:

Applying,

s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1

Where s = length of the side formed.

From the question,

Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5

Substitute these values into equation 1

s = √[(9+2)²+(5-5)²]

s = √(11²)

s = 11 unit.

Hence the length of the side formed by the vertices is 11 unit

Find the y-intercept of the quadratic function: g(x) = 5х2 + 9x + 4 о (0, 18) (4.0) ООО (0.4) (0,5)​

Answers

Answer:

(0,4)

Step-by-step explanation:

Here, we want to find the y-intercept of the quadratic function

g(x) = 5x^2 + 9x + 4

Mathematically, we know that the y-intercept is the position on the graph where we have x = 0

so, to find the y-intercept value, we have to find g(0)

simply put, we have to substitute the value of 0 for x

Mathematically, we have this as;

g(0) = 5(0)^2 + 9(0) + 4

g(0) = 0 + 0 + 4

g(0) = 4

thus, we have the y-intercept point as (0,4)

What’s the answer please.

Answers

Answer:

[tex]\frac{m^{3}n+5 }{m^{2}n^{2} }[/tex]

Explanation :

is down below in the picture

Please give me brainiest!!

If θ is in standard position and -180° < θ <-90°, then θ terminates in Quadrant _____.

Answers

Answer:

Quadrant III

Step-by-step explanation:

-180° is a 180° rotation clockwise, which will end up between Quadrant II and III. -90° is a 90° rotation clockwise, which will end up between Quadrant III and Quadrant IV. The range of possible angles are contained in Quadrant III, in conclusion.

In the diagram, PN is perpendicular bisector of AB and is also the ange bisector of ​

Answers

CPD because of the angle bisector theorem

whats the answer to this ​

Answers

Answer:

its the 2nd one

hope that helps<3

Answer:

jhkkkhj

Step-by-step explanation:

jkjkjkjkj

A
B
С
D
If mZACD = 70°, then mZBCD = [? ]°

Answers

Answer:

35 is correct

Step-by-step explanation:

hope this helps.

Answer:

35°

Step-by-step explanation:

Angle ACD is 70°. The little tick marks on the angle mean both sides of the split are the same amount. This means if you divide the angle in half, you will find out what both of them are equal to.

What is the value of this expression when a = 7 and b = -4? 1201 - 6 3 OA. -6 OB. - 31 Oc. 37 D. 6​

Answers

Answer:

OA . -6

Step-by-step explanation:

correct me if I'm wrong

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