Debbie scored a total of 504 marks in x tests. After another 3 tests, her total score for all the
tests was 756 marks. If the average score for the first x tests is the same as the average score for
all the tests, find the number of tests that Debbie sat for.

Answers

Answer 1

Debbie sat for 9 tests with a total score of 756, based on her average of 84 marks for all tests.

What is the average?

The average refers to the quotient of the total value divided by the number of data items.

The average is also known as the mean.

The total number of marks obtained in x tests = 504

The additional number of tests taken = 3

The total number of marks obtained in x + 3 tests = 756

The number of marks obtained in 3 tests = 252 (756 - 504)

The average marks obtained in the 3 tests = 84 (252 ÷ 3)

The average marks obtained in x tests = 84

x = 6 (504 ÷ 84)

Therefore, the total number of tests taken = x + 3 = 6 + 3 = 9.

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Related Questions

In the ale the original price are reduced by 15%
a. Calculate the ale price of a book that ha an original price of $12
b. Calculate the original price of a jacket that ha a ale price of $38. 25

Answers

Answer:b

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPP‍♂️‍♂️‍♂️‍♂️‍♂️‍♂️

HELPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

72

so the second one

Step-by-step explanation:

Triangles area= Base x Height ÷ 2

12x12= 144

144÷ 2 = 72

Answer:

41

Step-by-step explanation:

You have to use Pitagoras.

a^2 + b^2 = c^2

12^2 + 12^2 = c^2

144 + 144 = c^2

288 = c^2

c = √288 = 16.9

P triangle = 16.9 + 12 + 12 = 40.9

Rounded is 41

Add.

3/10+(−7/20)

Enter your answer as a fraction, in simplified form, in the box.

Answers

Answer:

-4/10

Step-by-step explanation:

3/10 + (−7/20)

= 3/10 - 7/10

= -4/10

Answer:

-4/10

Step-by-step explanation:

Subtract the numerators 3 and 7 since we already have the same denominator, 10.

3 - 7 = -4

So, we get -4/10

Toya is using a cake recipe that calls for two cups of sugar and 3 cups of flour. she wants to make a larger amount of cake batter. if she uses six cups of flour, how many cups of sugar should she use?

Answers

Answer:

4 cups of sugar

Step-by-step explanation:

2 x 2 = 4

Toya will use 4 cups of sugar.

help with both please

help with both please
help with both please

Answers

Answer:

Step-by-step explanation:

Answer:b)true a)true

Step-by-step explanation:

can someone help me i dont know what to do here please Explain and answer

can someone help me i dont know what to do here please Explain and answer
can someone help me i dont know what to do here please Explain and answer

Answers

Answer:

For the tickets sold collum, your going to do 1,2,3,4,5,6,7 and for the total revenue, your going to do 34.00 68.00 102.00 136.00 170.00 204.00 238.00

Step-by-step explanation:

Then for ordered pairs, you´re going to do 1, 34.00 2, 68.00 3, 102.00 and so on. Then you graph it, oh and K= 34.00

Two more than 16 times a number is the same as 21
less than the product of -7 and the number.
Please show your work thank you

Answers

Answer:

2*16n = 21 -7n

Step-by-step explanation:

hope this helps :)

Five hundred draws are made at random with replacement from a box with 10,000 tickets. The average of the box is unknown. However, the average of the draws was 71.3, and their SD was about 2.3. True or false: The 71.3 estimates the average of the box, but is likely to be off by 0.1 or so.

Answers

The statement is True. The average of the draws, which is 71.3, is likely to estimate the average of the box.

However, it is also likely to be off by approximately 0.1 or so.

This is because the sample mean, in this case, serves as an estimate of the population mean.

Due to the sampling variability, the sample mean may not perfectly reflect the true average of the box.

The standard deviation (SD) of the draws, which is about 2.3, gives us an indication of the variability in the sample mean.

Therefore, while the 71.3 is a reasonable estimate, it is expected to have some degree of error or uncertainty around it.

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I need help with this please !

I need help with this please !

Answers

Answer:

Its Function, but not One-to-one

I neeeeeeeeeeeeeed HELP

I neeeeeeeeeeeeeed HELP

Answers

Answer:

A.) CPCTC (Please mark Brainliest)

Step-by-step explanation:

First triangle is proven congruent then parts are said to be congruent

marco bought 5 movies for $53.10 Vance bought 3 movies for $31.71 who got the better deal

Answers

Answer:

vance got the better deal

Step-by-step explanation:

You can buy 3 apples at the Quick Market for $1.17. You can buy 5 of the same apples at Stop and Save for $1.25. Which place is the better buy?

Answers

Answer: Stop and Save

Step-by-step explanation:

Cost of 1 apple at Quick market=1.17/3

                                                      =$0.39

Cost of 1 apple at Stop and Save=1.25/5

                                                        =$0.25

answer: Stop and Save is the better buy.

1/secA+tanA = 1-sinA/cosA

Answers

Answer:

Below.

Step-by-step explanation:

1 / secA+tanA =  1 / [1/cosA+sinA/cosA))]

= 1/ [(1 + sinA)/cosA]

= cosA/(1+sinA)

Now check if this is identical to 1-sinA/cosA:

1-sinA/cosA = cosA/(1+sinA)

Cross multiply:

(1-sinA)(1+sinA) = cos^2A

1 - sin^2A = cos^2A

sin^2A + cos^2A = 1  

This is a known idenity.

So the original identity is true.

factorize the equation
2b2 - 33b + 16 = 0​

Answers

Answer:

(2b-1) (b-16)

Step-by-step explanation:

(2b^2-32b)(-b+16)

2b(b-16)  -1(b-16)

who owns iods? as part of the pew internet and american life project, researchers surveyed a random sample of 800 teens and a separate random sample of 400 young adults. for the teens, 79% said that they own an ipod or mp3 player. for the young adults, this figure was 67%. do the data give convincing evidence of a difference in the proportions of all teens and young adults who would say that they own an ipood or mp3 player?

Answers

Based on the survey data, we can conclude that a higher proportion of teenagers own an iPod or MP3 player compared to young adults.

To determine if the difference is significant, we need to conduct a hypothesis test. We can begin by stating the null hypothesis as "there is no significant difference in the proportion of all teens and young adults who would say they own an iPod or MP3 player."

We can also state the alternative hypothesis as "there is a significant difference in the proportion of all teens and young adults who would say they own an iPod or MP3 player."

Next, we need to determine the test statistic and calculate the p-value to determine if the difference in the proportions is statistically significant. Assuming that the data follows a normal distribution, we can use a two-sample z-test to test our hypothesis.

Using a significance level of 0.05, we find that the test statistic is 3.07, and the p-value is 0.002. Since the p-value is less than the significance level, we can reject the null hypothesis and conclude that there is convincing evidence of a difference in the proportions of all teens and young adults who would say they own an iPod or MP3 player.

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Please help!!!! I'll give brainlist

Please help!!!! I'll give brainlist

Answers

Answer:

Hello! answer: y = 122

Step-by-step explanation:

360 - 116 = 244 244 ÷ 2 = 122 therefore y = 122

Hope that helps!

Answer:

x= z (vertically opposite angles)

x+z= 116

x+x = 116

2x= 116

x=116/2

x= 58

x+y= 180°(straight angle)

58°+y= 180°

y= 180°-58°

y = 122°

Number of factors of 10 in 10²

Answers

Answer:

24

Step-by-step explanation:

give me brainliest pls

If you want to graph the relationship to compare the unit prices, what should the x- axis and the y-axis represent

Answers

Answer:

it represents the following

read in my explanation

Step-by-step explanation:

A bar chart is a graph with rectangular bars. The graph usually compares different categories. Although the graphs can be plotted vertically (bars standing up) or horizontally (bars laying flat from left to right), the most usual type of bar graph is vertical.

The horizontal (x) axis represents the categories; The vertical (y) axis represents a value for those categories. In the graph below, the values are percentages.

Answer:

The unit price in this situation is the approximate cost per pound of clementines. So, the x-axis should represent the number of pounds. The y-axis should represent the cost.

Step-by-step explanation:

Plato correct answer word for word

how many unique slip planes of the {110} type are in a bcc metal?how many unique slip planes of the {110} type are in a bcc metal?2468122448

Answers

As per the mentioned informations, there are 4 slip planes associated with each of the 3 unique <111> directions, giving a total of 12 unique {110} slip planes in a body-centered cubic (BCC) crystal

In a body-centered cubic (BCC) crystal, there are 12 slip systems of the {110} type. Each of these slip systems is associated with a unique slip plane.

To understand why there are 12 slip systems, consider that the {110} plane has two perpendicular <111> directions, which are the directions of maximum atomic density in a BCC crystal. Each of these <111> directions can be associated with four equivalent {110} slip planes, which intersect at a line that lies along the <111> direction.

Therefore, there are 4 slip planes associated with each of the 3 unique <111> directions, giving a total of 12 unique {110} slip planes in a BCC metal.

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Abram competed in a 100-meter swimming race. He swam
the first 50 m in 29.65 seconds. He swam the second 50 m
in 30.24 seconds. How long did it take Abram to complete
the race?

Answers

Answer:

Step-by-step explanation:

59.89

I’m so confused can anyone help?

Im so confused can anyone help?

Answers

15 I got your back bro

Answer:

Step-by-step explanation:

The answer is 15.

1/5 is 10

1/2 is 25

25+10=35

50-35 is 15, your answer. Hope this helped :)

If the simple interest on ​$3,000 for 8 years is ​$1,200​, then what is the interest​ rate?

Answers

Answer:

i THINK its 18.75% per year

Step-by-step explanation:

r = (1/8)((3,000/1200) - 1 ) = 0.1875

r = 0.1875 * 100 = 18.75

(dont take my word tho, u should double check yourself)

Plsss help correct answer gets marked

Plsss help correct answer gets marked

Answers

Answer:

B

Step-by-step explanation:

there are 7 blocks in the whole

the green portion is 3/7

1/2 times 6/7 is equal to 3/7

the answer is B


Holly's height decreased by 21 is 62.
Use the variable h to represent Holly's height.

Answers

The algebraic expression is h - 21 = 62

How to represent as an algebraic expression

If we let "h" be Holly's original height,

The phrase "Holly's height decreased by 21 is 62" can be translated into an algebraic expression as:

h - 21 = 62

This equation represents the relationship between Holly's original height and her current height, after a decrease of 21 units.

We can solve for h by adding 21 to both sides of the equation:

h - 21 + 21 = 62 + 21

h = 83

Hence, Holly's original height was 83 units.

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Bananas are being sold for $0.60 per pound. If x represents the number of pounds bought, and y
represents the cost of the bananas, which ordered pair is a viable solution?
a. (2.5, 1.8)
b. (3.25, 2)
c. (4.5, 2.7)

Answers

Answer:

C

Step-by-step explanation:

4.5 x .60 = 2.7

meaning 4.5 pounds of bananas at .60 a pound would cost 2.7

A triangle has base 8 cm and perpendicular height 5.2 cm work out the area of the triangle​

A triangle has base 8 cm and perpendicular height 5.2 cm work out the area of the triangle

Answers

The area of the triangle is mathematically given as

A=20.8cm

This is further explained below.

What is the area of the triangle?

The region that is surrounded by the perimeter of the triangle, also known as the three sides of the triangle, is referred to as the area of the triangle.

The space that is encompassed by all three of a triangle's sides is referred to as the triangle's area.

It is computed with the assistance of a variety of formulae that differ according to the kind of triangle, and the results are represented in square units such as centimeters squared, inches squared, and so on.

Generally, the equation for Area the is mathematically given as

A = 1/2 * base * height

Therefore

A= 1/2 * 8 * 5.2

A=20.8cm

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GUYS PLS HELP!!
all i need to know is what x is please

GUYS PLS HELP!!all i need to know is what x is please

Answers

Answer:

Option C

Step-by-step explanation:

Area of the composite figure = Sum of the areas of three rectangles given

                                                = (3x)(x) + 4x + 3(3x)

                                                = 3x² + 4x + 9x

                                                = 3x² + 13x

Since, area of the figure = 82

Therefore, expression representing area of the figure is,

3x² + 13x = 82

Option (C) will be the answer.

Here, x is a variable.

And we can get the value of x by using quadratic formula.

PLEASE answer this quickly

PLEASE answer this quickly

Answers

The true statement about b is b = p + q, and about c is c = p*q.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of the second degree.

Given a quadratic function, x² + bx + c

and factors of equation is (x + p)(x + q)

for any quadratic equation, the product of factors is equal to the product of a and c,

here a = 1 and c = c

c = p*q,

and the sum of factors is equal to b,

b = p + q.

Hence options A and C are correct.

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y= 5x -7 -3x -2y= -12

Answers

\(y=5x-7\)\(-3x-2y=-12\)

To find the solutions by substitution:

1. Clear a variable (x or y) in one of the equations:

As in the first equation the variable y is clear you don't need to clear a variable.

2. Substitute the value of the clear variable in the other equation:

\(-3x-2(5x-7)=-12\)

3. Make operations:

\(-3x-10x+14=-12\)\(-13x+14=-12\)

4. Clear the variable x:

5. Subtitute the value of the x in the first equation to find the value of y:

\(y=5(2)-7\)\(y=10-7=3\)

----------------------------

Then so, the value of the variables in the given system of equations is:y=3x=2
y= 5x -7 -3x -2y= -12
y= 5x -7 -3x -2y= -12

1 A camera is capable of snapping 3/4 of a picture per second. How many pictures can be snapped within a 36-second period?

Answers

Answer:

27

Step-by-step explanation:

36*(3/4)

I just put that in a calculator so

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