Help (Ignore the bottom question, only help solve number 3. Please also ignore the numbers I’ve wrote in the boxes.)

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Cory’s average score after 8 tests is 91%. If he gets a 78% on his 9th test what will his new average be?

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The new average will be 89.55%.

What is an average?

The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

It is given that,

Average score after 8 tests = 91%.

Therefore, Total score of 8 tests = Average score*Number of tests

Total score of 8 tests = 91*8

Total score of 8 tests = 728

Now, Cory scored 78% in 9th test,

So, Total score of 9 tests = Total score of 8 tests + 78

Total score of 9 tests = 728 + 78

Total score of 9 tests = 806

Hence, Average score of 9 test = Total score of 9 tests/9

Average score of 9 test = 806/9

⇒ Average score of 9 test = 89.55%

Hence, the new average will be 89.55%.

More about average :

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add all the scores together and the divided by the number of scores there are

8 tests will be 8x91 = 728

Then add on his latest test result 728+78 = 806

Now divide by the number of tests (9) 806/9 = 89.55555555
89.555%

What is the maximum number of one inch sugar cubes that could be packed in the 2 rectangular boxes? A) 200 cubes B) 540 cubes C) 630 cubes D) 740 cubes

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A) 200 cubes for a big black boutta

The diagonals of parallelogram QRST and intersect at point U. If RS = 10, ST = 12, and RU = 9.5, find the length of

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I am assuming that parallelogram QRST is rectangle.
RS is the width and ST is the length.
RT is the diagonal. RU is half of the diagonal and TU is the other half of the diagonal.

Length = 12 ; Width = 10

to find the diagonal:
d = √(L²+W²
d = √ 12² + 100²
d = √ 144 + 100
d = √244
d = 15.62

RU + TU = 15.62
TU = 15.62 - 9.5
TU = 6.12

In which line is a mistake first made when solving the following system of equations by elimination for x? 5x + 3y = 12 4x - 5y = 17Line 1
25x + 15y = 60
4x - 5y = 17

Line 2
25x + 15y = 60
20x - 15y = 85

Line 3
45x = 145

Line 4
x = 29/9

Answers

- in the second line bc. the second equation we need multiplie just by 3 and ot by 5
- so there above was multiplied by 5 and so than 5*(-5y) not equal -15y so this is equal -25y

The model represents x2 – 9x + 14.Which is a factor of x2 – 9x + 14?

A. x – 9
B. x – 2
C. x + 5
D. x + 7

Answers

Factorize the quadratic trinomial $x^2 - 9x + 14$ by the rule:

$ax^2+bx+c=a(x-x_1)(x-x_2), \text{ where } x_1,\ x_2 \text{ are its roots. }$

1. Find the roots:

2. Factorize the polynomial:

$x^2 - 9x + 14=(x-2)(x-7).$

3. Only factor x-2 is given in options, then the correct choice is B.

The factor of the given polynomial expression is (x - 2). So, option B.

Using variables and coefficients, polynomials are algebraic expressions. The word indeterminates is sometimes used to describe variables.

For polynomial expressions, addition, subtraction, multiplication, and positive integer exponents are all mathematical operations that are possible, however division by variables is not one of them.

The given polynomial expression is,

x²- 9x + 14

So, we can write that,

(x - a) (x - b) = x²- 9x + 14

So, we can write two equations,

ab = 14

a + b = 9

Therefore, we can say that,

a = 2 and b = 7

Therefore, the factors of the given polynomial expression is,

(x - 2) (x - 7) = x²- 9x + 14

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A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 140 lb and each box of books weighs 50 lb. The maximum capacity of the elevator is 830 lb. How many boxes of books can the delivery person bring up at one time?

Answers

We can model this with the following inequality

50x + 160 ≤ 1000 where x is the number of boxes....so, subtracting 160 from each side, we have

50x ≤ 840 divide both sides by 50

x ≤ 16.8 boxes ....but since he can't bring up partial boxes, round down to 16

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