The average of three test scores is 82. The scores on the first test and the third test are the same. The score on the second test is 6 less than the score on the first test. What is the score on the first test?

Answers

Answer 1

Answer:

84

Step-by-step explanation:

Let x = the test

(x + x + ( x - 6))/3=82

((3x - 6)/3) • 3= 82 • 3

3x - 6 + 6 = 246 + 6

3x = 252

3        3

x = 84


Related Questions

please help asap!!!!

Answers

Answer:

z = 25

Step-by-step explanation:

adjacent angles in a rhombus are supplementary

3z - 15 + 7z - 55 = 180

10z - 70 = 180

10z = 250

z = 25

what is the equation of the line passing through the point (2,-1) with a slope of -3

Answers

Note: this answer assumes that the equation of the line must be in slope-intercept form.

Answer:

[tex]y= -3x + 5[/tex]

Explanation:

When you need to write an equation and know its slope and a point it intersects, you can use the point slope formula [tex]y-y_1 = m (x-x_1)[/tex] first. In order to write an equation using this formula, the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] must be substituted in for real values.

The [tex]m[/tex] represents the slope, so write the slope of this equation, -3, in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. We know that the line must intersect the point (2, -1). Write 2 in the place of

[tex]y-(-1) = -3(x-(2))[/tex]

[tex]y+1 = -3(x-2)[/tex]

Now, to put it in slope-intercept or [tex]y = mx + b[/tex] form, just expand the right side and isolate [tex]y[/tex]:

[tex]y+1 = -3(x-2)\\y + 1 = -3x + 6 \\y = -3x + 5[/tex]

Therefore, [tex]y= -3x + 5[/tex] is the answer.

At the movie theatre, child admission is $5.70 and adult admission is $9.80. On Wednesday, 149 tickets were sold for a total sales of $1222.40. How many child tickets were sold that day?

Answers

Answer:

I am not sure but sold of the say 2,334

Answer:

58 child tickets

Step-by-step explanation:

5.7(x)+9.8(149-x)=1222.40

5.7x+1460.2-9.8x=1222.40

1460.2-4.1x=1222.40

-4.1x=-237.8

x=58

7. The unlabeled graph shows the relationship
between two customary units of measure.
Only two pairs of units can be represented
Mini-Task
by the graph.
10
8
6
2
0 24
6
8 10
a. Determine the possible pairs of units.
b. Describe the relationship for each pair.

Answers

Answer:

I am not sure about that

Find the missing term.
(Blank) + 7 - 3i) + (5 + 91) + 131 = 10 - 5i.

Options:
-2 - 24i
2 - 12i
-12-24
-2 + 141

Answers

Answer:

-2 - 24i

Step-by-step explanation:

a + bi + (7 - 3i) + (5 + 9i) + 13i = 10 - 5i

a + bi + 7 + 5  - 3i + 9i + 13i = 10 - 5i

                a + bi  + 12  + 19i = 10 - 5i

                         a + bi          = 10 - 5i - 12 - 9i

                                 a + bi = 10 - 12 - 5i - 9i

                                 a + bi = -2 - 24i

Solve 3[-x + (2x+ 1)] =X- 1.
x= ?

Answers

Answer:

x= -2

Step-by-step explanation:

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial cost of designing the airplane and setting up the factories in which to build it will be 500 million dollars. The additional cost of manufacturing each plane can be modeled by the function below, where x is the number of aircraft produced and m is the manufacturing cost, in millions of dollars.
m(x) = 20x - 5x^3/4 + 0.01x^2
The company estimates that if it charges a price p (in millions of dollars) for each plane, it will be able to sell x(p) = 320 - 7.7p planes.
(a) Find the cost, demand (or price), and revenue functions.
C(x) =
p(x) =
R(x) =
(b) Find the production level that maximizes profit.
Planes =
(c) Find the associated selling price of the aircraft that maximizes profit.
= $_______ million
(d) Find the maximum profit.
= $ _______ million

Answers

Answer:

[tex](a)[/tex] [tex]C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2[/tex]

    [tex]p(x)=320-7.7p[/tex]

    [tex]R(x)=(320-7.7p)p=320p-7.7p^2[/tex]

[tex](b)[/tex] [tex]x=82 \text{planes}[/tex]

[tex](c)[/tex] [tex]p=\$30.91 M\;\; \text{per plane}[/tex]

[tex](d)[/tex] maximum profit [tex]=\$ 15.90M[/tex]

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

[tex]m(x)=20x-5x^{\frac{3}{4}}+0.01x^2[/tex]

[tex](a)[/tex]  Find the cost, demand (or price), and revenue functions.

   [tex]C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2[/tex]

   [tex]p(x)=320-7.7p[/tex]

   [tex]R(x)=(320-7.7p)p=320p-7.7p^2[/tex]

[tex](b)[/tex]  Find the production level that maximizes profit.

    [tex]f=R(x)-C(x)[/tex]

 [tex]\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)[/tex]

[tex]\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx[/tex]

     [tex]x=320-7.7p[/tex]

     [tex]p=\frac{320-x}{7.7}[/tex]

    [tex]\frac{dp}{dx} = \frac{-1}{7.7}[/tex]

[tex]\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0[/tex]

    [tex]\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0[/tex]

   [tex]\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0[/tex]

   [tex]\Rightarrow x=82 \text{planes}[/tex]

[tex](c)[/tex]  Find the associated selling price of the aircraft that maximizes profit.

  [tex]p=\frac{320-82}{7.7}[/tex]

[tex]\Rightarrow p=\$30.91 M\;\; \text{per plane}[/tex]

[tex](d)[/tex]  Find the maximum profit.

Manufacturing cost of one plane is:

[tex]m(1)=20-5+0.01[/tex]

         [tex]=\$15.01 M[/tex]

maximum profit [tex]=\$(30.91-15.01)M[/tex]

                           [tex]=\$15.90M[/tex]

how many students passed if the passing percentage is 50%​

Answers

Answer:

167

Step-by-step explanation:

from 50-60 we have 30 students

60-70. 50 students

70-80. 45 students

80-90. 27 students

90-100. 15 students

30+50+45+27+15= 167

167 students passed

Answer:

167

Step-by-step explanation:

30+50+45+27+15=167

Fourteen out of the twenty people in your class have black hair.

Answers

Not all blondes or brown hair

ALRIGHT I NEED HELP AGAIN HELP ME STRANGERS

A body has a weight of 10Kg and volume
of 952 cm ^ 3. find out the density body

O 10,5 g/cm^3
O 952 Kg/cm^3
O 1050 g/cm^3
O 10500 kg/cm^3

Answers

It would be the first option since the second and fourth option is impossible to obtain with 10kg. Furthermore, it would just then be 10,000g divided by 952.

Answer: 10.50 g/cm^3

At the start of a trip, a car’s gas tank contains gallons of gasoline. During the trip, the car consumes 1⁄8 gallons of gasoline. How much gasoline is left in the tank? Please explain thoroughly.

Answers

Answer: (7/8)x gallons

Explanation:

Let x be the amount of gasoline at the start of the trip.

During the trip the car uses 1/8 gallons of gasoline

Which mean it uses 1/8 of the original gasoline, (1/8)x.

Gasoline left in the tank:

x - (1/8)x = (7/8)x

Megan has a bowl containing $1.95 in pennies and dimes. If she has 3 times as many pennies as she has dimes, how many pennies and how many dimes does she have?

Answers

Answer: she has 15 dimes and 45 pennies.

Step-by-step explanation:

01p+1d=1.95

p=3d

01(3d)+.1d=1.95

p=3.15

03d+.1d=1.95

p=45

.13d=1.95

d=15

A rectangular garden has a walkway around it. The area of the garden is 6(4.5x +3.5). The combined area of the garden and the walkway is 6.5(6x + 6). Find the area of the walkway around the garden as the sum of two terms. The area of the walkway around the garden is (Simplify your answer. Use integers or decimals for any numbers in the expression.)​

Answers

Answer:

13x+23.5

Step-by-step explanation: I dont know how to explain

What is the probability that a point would be in the blue region? Triangle area=bh/2

Answers

Answer:

okay so look

Step-by-step explanation:

you calculate the area of the whole square then the area of the triangle , then you subtract the area of the square with the area of the triangle so you'll get the area of the blue region

(BRAINLIEST) and more in the description.

Confession: I'm bad at math

Description and benefits: The person with the correct answer will be given 30 points, brainliest, five-star rating, and a thanks. If you answer incorrectly just to get rewards you will be reported to Brainly and your answer will be deleted to give someone else a chance.

Answers

Answer:

77.3

Step-by-step explanation:

V=lwh

4.6*4.2*4.0=77.28

77.28 to the nearest tenth is 77.3

Help please with both of these questions :(

Answers

It means to make a greater or less then statement. So maybe for the first one you can do: -1 < 2 or -2 <0 And for the fourth one you could do 4 >3 or 2 = 2 (Sorry if I am wrong, this is what I know)

9
Select the correct answer.
Which statement is true about this equation?
-9(x + 3) + 12 = -3(2x + 5) - 3x
OA
The equation has one solution, x= 1.
OB. The equation has one solution, x = 0.
OC. The equation has no solution.
OD
The equation has infinitely many solutions.
Reset
Next

Answers

Answer: D. The equation has infinitely many solutions.

Step-by-step explanation:

Given equation: [tex]-9(x + 3) + 12 = -3(2x + 5) - 3x[/tex]

[tex]\Rightarrow -9(x)+(-9)(3)+12=(-3)(2x)+(-3)(5)-3x\\\\\Rightarrow\ -9x-27+12=-6x-15-3x\\\\\Rightarrow\ -9x-15=-9x-15\\\\\Rightarrow\ -9x+9x=-15+15\\\\\Rightarrow\ 0=0[/tex]

which is true.

This happens when all numbers are solutions.

i.e. The equation has infinitely many solutions.

Correct option : D.

Consider the following pieces of identification a person might have in order to apply for a credit card:

B : Applicant present a birth certificate
D: Applicant presents a drivers license
M applicant presents a marriage license

Write Logical expressions

1. The applicant must present either a birth certificate, a drivers license or a marriage license.
2. The applicant must present any two of the following forms of identification: birth certificate, drivers license, marriage license
3. Applicant must present either a birth certificate or both a drivers license and a marriage license

Answers

Answer:

B v D v M ;

(B ٨ M) V (B ٨ D) V (M ٨ D) ;

B V (D ٨ M)

Step-by-step explanation:

Given :

B : Applicant present a birth certificate

D: Applicant presents a drivers license

M applicant presents a marriage license

1.)

This means that any one of the three must be presented :

Birth certificate OR Driver's license OR Marriage certificate

B v D v M

2.)

This means any two combination of the three certificates :

(birth certificate and marriage certificate) OR (birth certificate and driver's license) OR (marriage certificate and driver's license)

(B ٨ M) V (B ٨ D) V (M ٨ D)

3.)

That is birth certificate alone will suffice or a driver's incense and a marriage certificate

B V (D ٨ M)

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

1/6 of 3 and 1/6 x 3

Use Euler’s Formula to find the missing number.

Faces: _____
Edges: 15
Vertices: 9

Answers

Question:

Use Euler’s Formula to find the missing number.

Answer:

18

#CARRYONLEARNING #STUDYWELL

Answer:

Use Euler’s Formula to find the missing number.

Faces: __8__

Edges: 15

Vertices: 9

Answer is 8

Step-by-step explanation:

Please solve the question below 3

Answers

Answer:

17》6

18》12

19》8

20》3

21》2

the bar with age 18 this is because as you minus from both sides the middle number will be in age 18

You can use a number line to help you order rational numbers.
True or False

Answers

True.

Hope this helped!

Answer:

I would say true

Step-by-step explanation:

A researcher observes the level of aggression of six 5-year-old boys over the course of a school day. The number of incidents for the group of boys was 2, 4, 6, 12, 8, 10. What is the mean number of aggressive acts for this group of children?
a) 9
b) 5
c) 7
d) 4

Answers

Answer:

[tex]Mean = 7[/tex]

Step-by-step explanation:

Given

[tex]Data: 2, 4, 6, 12, 8, 10.[/tex]

Required

Determine the mean

The mean of a data is calculated as thus:

[tex]Mean = \frac{\sum x}{n}[/tex]

In this case:

[tex]n = 6[/tex]

So, the formula becomes:

[tex]Mean = \frac{2+4+6+12+8+10}{6}[/tex]

[tex]Mean = \frac{42}{6}[/tex]

[tex]Mean = 7[/tex]

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

Bee is correct .

Step-by-step explanation:

AI thought that while proving congruent , he/she need to look at the closest side.This thinking is wrong.

4x - 20 =-44 I need the answer ASAP

Answers

Answer:

x=8

Step-by-step explanation:

44-20=24

24/4=8

If you need the explanation I can provide that but the answer is x = -6


Please help quickly, if someone answers quickly I'll give them Brainly.


Simonne predicted that she would sell 99 picture frames. She actually sold 88 picture frames. What are the values of 'a' and 'b'? Round round to the nearest tenth if necessary.

Item-
Picture frames

Approximate value-
99

Exact value-
88

Error-
Blank

Absolute error-
Blank

Ratio-
a

percent error-
b



Possible answers:

1. a= 11/99; b= 11.1%

2. a= 11/88; b= 12.5%

3. a= 88/99; b= 88/99%

4. a= 11/11; b= 100%

Answers

Step-by-step explanation:

Ratio

= Difference between Prediction and Actual / Prediction

= (99 - 88)/99 = 11/99.

Percentage Error

= Difference between Prediction and Actual * 100%

= (99 - 88) * 100% = 11.1%. (1)

The ratio (a) & percent error (b) will be option A which is a=11/99 and b= 11.11% respectively

Ratio and Percent errorRatio can be defined as difference between approximate value and exact value divided by approximate value.Percent error is ratio multiplied by 100

How to solve this problem?Given

Approximate value = 99 frames

Exact value = 88 frames

Ratio (a) = (Approximate value - Exact value) / Approximate value

∴ Ratio (a) = (99-88)/99

∴ a = 11/99

Ratio (a) x 100

∴ Percent error (b) = (11/99) x 100

∴ b = 11.11%

So, the answer of ratio (a) & percent error (b) will be 11/99 and 11.11% respectively

Learn more about Ratio and percent error here:

https://brainly.com/question/5493941

#SPJ2

- 5x2 + 2x + 9= 0
factorize​

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the quadratic equation

5x²−2x−9 = 0

To factor the quadratic function 5x²−2x−9, we should solve the corresponding quadratic equation 5x²−2x−9 = 0.

Indeed, if x₁ and x₂ are the roots of the quadratic equation ax²+bx+c=0, then

ax²+bx+c = a(x-x₁)(x-x₂)

Now,

solving the quadratic function 5x²−2x−9 = 0

[tex]-5x^2+2x+9=0[/tex]

subtract 9 from both sides

[tex]-5x^2+2x+9-9=0-9[/tex]

Simplify

[tex]-5x^2+2x=-9[/tex]

Divide both sides by -5

[tex]\frac{-5x^2+2x}{-5}=\frac{-9}{-5}[/tex]

[tex]x^2-\frac{2x}{5}=\frac{9}{5}[/tex]

Add (-1/5)² to both sides

[tex]x^2-\frac{2x}{5}+\left(-\frac{1}{5}\right)^2=\frac{9}{5}+\left(-\frac{1}{5}\right)^2[/tex]

[tex]x^2-\frac{2x}{5}+\left(-\frac{1}{5}\right)^2=\frac{46}{25}[/tex]

[tex]\left(x-\frac{1}{5}\right)^2=\frac{46}{25} \\[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

so solving

[tex]x-\frac{1}{5}=\sqrt{\frac{46}{25}}[/tex]

[tex]x-\frac{1}{5}=\frac{\sqrt{46}}{\sqrt{25}}[/tex]

Add 1/5 to both sides

[tex]x-\frac{1}{5}+\frac{1}{5}=\frac{\sqrt{46}}{5}+\frac{1}{5}[/tex]

[tex]x=\frac{\sqrt{46}+1}{5}[/tex]

similarly solving

[tex]x-\frac{1}{5}=-\sqrt{\frac{46}{25}}[/tex]

[tex]x-\frac{1}{5}=-\frac{\sqrt{46}}{5}[/tex]

Add 1/5 to both sides

[tex]x-\frac{1}{5}+\frac{1}{5}=-\frac{\sqrt{46}}{5}+\frac{1}{5}[/tex]

[tex]x=\frac{-\sqrt{46}+1}{5}[/tex]

Thus, the roots are:

[tex]x_{1} =\frac{\sqrt{46}+1}{5},\:x_{2}=\frac{-\sqrt{46}+1}{5}[/tex]

Conclusion:

Since the roots are irrational, we do not factor further.

Therefore, we leave 5x²−2x−9 as it is.

brainly solve 100 points

Answers

Answer: it’s f- by the millisecond

Answer:

1.9059 x 10 -12

Step-by-step explanation:

Which system of equations is represented by the graph?
10
8
(4.0)
-10-8
-6 -4 -2
8
1D
(-1,-571
y = x +4
X+4
y =
X+2
y = x - 4
X+4
y =
X+2
y = x + 4
X-4
y =
X+2
y = x - 4
X-4
y =
X+2

Answers

Answer:

-6

Step-by-step explanation:

is it

which graph beat represents this system of linear equations and it’s solution

Answers

A is the answer:)
Hope it’s right
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