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xz_007 [3.2K]
4 years ago
14

= The average score of Karl's first four math tests is 72 points. After the fifth and the sixth tests, his average score increas

ed to 75 points. If the score of his sixth test is 4 points more than the score of his fifth test, how many points did he score on his sixth test?
Mathematics
1 answer:
mylen [45]4 years ago
5 0

Answer:

83 points

Step-by-step explanation:

-The formula for average is given as:

\bar X=\frac{1}{n}\sum{x_i}\\\\x_i=Individual \ Test \ scores\\n=number \ of \ scores

Let a be his 5th score and (a+4) of the 6th

#We subtract the sum of the first 4 tests from the 6, to get the sum of the 5th and 6th tests:

(6^{th}+5^{th})=\bar X n_6-\bar X n_4\\\\=75\times 6-72\times 4\\\\=162

#We substitute for the 5th and 6th to solve a:

5^{th}=a\\6^{th}=a+4\\\\a+(a+4)=162\\\\2a=158\\\\a=79\\\\6^{th}=a+4=79+4=83

Hence, Karl score 83 points in his 6th test.

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Margaret's car loan statement said she would pay $7,683.20 in a simple interest for a 5 year loan at 9.8% how much did Margaret
Kobotan [32]

Answer:15,680

Step-by-step explanation:

7,683.207,683.20=(P)(0.098)(5)=0.49P

Dividing both sides by 0.49, we have

P=7,683.200.49=15,680

7 0
3 years ago
Han and Priya were making a kite. Han cut out a piece of fabric so
Lemur [1.5K]

A kite is a <em>quadrilateral</em> which has <u>two</u> equal adjacent sides. Therefore <em>measuring</em> the lengths a<u>ccurately</u> would make the pieces of wood <em>perpendicular</em>. Since the diagonals of a kite are at <em>right angle</em> to each other.

<u>Quadrilaterals</u> are shapes which has four straight sides. Examples are; square, trapezium, kite, rectangle etc.

A <u>kite</u> is a shape which has <em>adjacent</em> sides to have equal lengths. It has two diagonals, and one <em>line of symmetry</em>.

The <em>lengths </em>of the sides of the <u>fabric</u> being exact imply that the pieces of wood would be perpendicular as suggested by Priya when fixed appropriately to the piece of fabric. This is because the diagonals of a <em>kite</em> are always <u>perpendicular</u>. Thus measuring the angles as suggested by Han is <u>not</u> necessary.

Visit: brainly.com/question/21979359

8 0
2 years ago
Read 2 more answers
Sarah bought 18 boxes of 65 pens at $12 a box. She sold 378 of them at 3 for $1.00 and the rest at 4 for $1.00. She sold 378 of
kodGreya [7K]

Answer:

$108

Step-by-step explanation:

The computation of the total profit is shown below:

Given that

1 box = $12

18 boxes = 12×18 = $216

So

Total = 18×65 = 1170 pens

Now Cost price, Cp = $216

Also,

3 = $1

So,

= 378 ÷ 3

= $126

Now

= 1170-378

= 792 pens remaining

4 = $1

So,

792

= 792 ÷ 4

= $198

Now

Total selling price, sp = 126+198 = $324

So finally

Profit = Sp - Cp

= $324 - $216

= $108

8 0
3 years ago
Find the equation of the line.
Grace [21]

Answer:

m:-\frac{1}{3}

Step-by-step explanation:

Pick two points (0,5) and (3,4)

use the formula to find slope: \frac{y2-y1}{x2-x1}

Insert values: \frac{4-5}{3-0}

m:-\frac{1}{3}

:-)

7 0
3 years ago
What is the awnser to<br> −n+(−3)+3n+5
Fofino [41]

Answer:

2n+2

Step-by-step explanation:

-n+(-3)+3n+5

-3+5+3n-n

2+2n or 2n+2

5 0
4 years ago
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