MATHEMATICS MIDDLE SCHOOL

Harper works at an electronics store as a salesperson. Harper earns a 6% commission on the total dollar amount of all phone sales she makes, and earns a 5% commission on all computer sales. Harper made a total of $2600 in sales and earned $137 in commission. Write a system of equations that could be used to determine the dollar amount of phone sales Harper made and the dollar amount of computer sales she made. Define the variables that you use to write the system.

Answers

Answer 1
Answer:

Answer:

The system of equations are

x + y = 2600   …….equation (1)

and, 6x + 5y = 13700  ……equation (2)

Explanation:

Let x = amount of sales of phone;

y = amount of sales of computer

For phone, 6% of sales is 6% of x, or 6% * x = 0.06x.

Similarly for computer,

5% of y = 0.05y

Given the total sales; x + y = 2600

And commission; 0.06x + 0.05y = 137; or 6x + 5y = 13700

Therefore the system of equations are

x + y = 2600   …….equation (1)

6 x + 5 y = 13700  ……equation (2)

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A box of cashews, peanuts, and almonds contains 144 nuts. For every 2 cashews, there are 3 peanuts and 7 almonds. How many more peanuts are there than cashews?

Answers

To solve this problem, first we need to find the number of peanuts, cashews, and almonds in the bag...

Total nuts=144

The ratio of cashews to peanuts to almonds can be shown as:

cashews:peanuts:almonds
2:3:7

Now lets add up the numbers in the ratio.

2+3+7=12

So, for every 12 nuts in the bag, 2 are cashews. For every 12 nuts in the bag, 3 are peanuts. For every 12 nuts in the bag, 7 are almonds. 

Now lets divide the total number of nuts (144) by the sum of the ratio (12).

144/12=12

Now we can solve for the number of every type of nut in the bag... 

Cashews=12*2=24nuts

Peanuts=12*3=36nuts

Almonds=12*7=84nuts

Now we can answer the problem:

Peanuts-cashews=
36-24=12 nuts

Answer: There are 12 more peanuts than cashews.

4x + 3x + 5x= 156

12x= 156

x= 13

4x = 4 times 13= 52 Cashews

3x= 3 times 13= 39 Peanuts

52-32= 13

Why is it not possible to draw a square that is not a parallelogram

Answers

So a square is a parallelogram with four sides of equal length and angles of equal size. In other words, all squares are parallelograms, but only some parallelograms are squares.
because just because they have 4 sides and equal length doesn't mean that all squares are parallelogram.

What is the measures of each interior angle of a regular hexagon?

Answers

Answer:

120 degrees

Step-by-step explanation:

Answer:

120 degree deoderants

Step-by-step explanation:

its common sense duh

Country Name Short Program Free ProgramCanada Patrick Chan 97.52 178.10
Spain Javier Fernandez 86.98 166.94
Japan Yuzuru Hanyu 101.45 178.64
Japan Tatsuki Machida 83.48 169.94
Kazakhstan Denis Ten 84.06 171.04

For one of the planned elements of Patrick Chan's free program, the judges awarded him 1.9 times the base score of the element. If they awarded him 3.80 points, what was the base score of the element?
_________ points.

Answers

Final answer:

The base score of the element for which Patrick Chan was awarded 3.80 points, being 1.9 times the base score, is 2 points.

Explanation:

Patrick Chan's base score for the particular element can be calculated by dividing the score awarded by the judges by the multiplication factor. Given the score awarded was 3.80 points and this was 1.9 times the base score, we can find the base score by dividing 3.80 by 1.9. Hence, the base score of the element can be found using the formula:

Base Score = Score Awarded / Multiplication Factor

Substituting our values we get:

Base Score = 3.80 / 1.9 = 2 points.

So, the base score for the element that was performed by Patrick Chan was 2 points.

Learn more about base score here:

brainly.com/question/2986523

#SPJ12

mr.smith is having some photos enlarged for his studio he wants to enlarge a photo that is 5in by 7in so the dimensions are 3 times larger than the original what are the dimensions of the enlarged photo

Answers

9 times larger

The reason is simple, all you need to do is 7 x 3, and 5 x 3, giving you the l x w of 15 and 21 inches.  You multiply these numbers together, meaning the original length and width (l x w), which would be 5 and 7, which equals 35.

From here, you multiply 15 and 21, which gives you 315.

Divide 35 from 315, and see what you get!
Hope this helps!

Charlotte bought 16 songs for her MP3 player. Three-fourths of the songs are classical songs. How many of the songs are classical songs?

Answers

I think 8 are classical songs
12 songs because if you look at the problem there is the word “of”. The word of means multiply, so if you make 16 into fraction that is 61/1 and multiply that my 34 the word problem is,16/1 x 3/4= 48/4 and 48 over 4 is equal to 12 and that is 12 songs.
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