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wariber [46]
3 years ago
10

A supermarket display consists of boxes of cereal. The bottom row has 23 boxes. Each row has three fewer boxes than the row belo

w it. The display has six rows.
Write and use a function to determine how many boxes are in the top row. Show your work.

Use the appropriate formula to determine the number of boxes in the entire display. Show your work.
Mathematics
2 answers:
Vesnalui [34]3 years ago
4 0
Well, I don't know if the following work is exactly what you want but here it goes:

first:23
second: 23-3=20
third: 20-3=17
fourth:17-3=14
fifth: 14-3=11
sixth: 11-3=8

Hope thats what you wanted if not Ill do my best to figure out a different solution. Just comment or private message me For questions. :0
allochka39001 [22]3 years ago
4 0
B(r)=23-3r+3

b(r)=26-3r

b(6)=26-3(6)

b(6)=8 boxes in the sixth row...

The sum of boxes will be the average of the top and bottom rows times the number of rows...

6(8+23)/2=93 boxes in total...
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Solving multi step equations
hichkok12 [17]

The no-brain way to do it is to

  1. subtract one side from both sides so you have <em>(something) = 0</em>.
  2. divide by the coefficient of the variable.
  3. add the opposite of the constant.

Of course, at some point, you need to simplify the equation so you have something like

... ax + b = 0 . . . . . . where <em>a</em> and <em>b</em> are some constants that may be positive or negative

17) Subtract the right side.

... 10(x +3) -(-9x -4) -(x -5 +3) = 0

... 10x + 30 +9x +4 -x +5 -3 = 0 . . . . . eliminate parentheses

... x(10+9-1) +(30+4+5-3) = 0 . . . . . . . collect terms

... 18x +36 = 0 . . . . . . . . . . . . . . . . . . . simplified

... x + 2 = 0 . . . . . . . . . . . . . . . . . . . . . .divide by 18, the coefficient of x

... x = -2 . . . . . . . . . . . . . . . . . . . . . . . . add the opposite of the constant

19) Add the opposite of the left side.

... 0 = -9(1 +7x) +12(x -12)

... 0 = -9 -63x +12x -144 . . . . . . eliminate parenthses

... 0 = -51x -153 . . . . . . . . . . . . . simplify

... 0 = x +3 . . . . . . . . . . . . . . . . . divide by -51, the coefficient of x

... -3 = x . . . . . . . . . . . . . . . . . . . add the opposite of the constant

_____

If you examine the variable's coefficients you can make a choice of side to subtract that results in a positive coefficient of the variable.

This method puts variable and constant together until the end. The approach usually taught is to separate the variable terms and constant terms. (The number of steps required is the same either way.)

The reason this is "no brain" is that it always works and requires no judgment as to what you add or subtract from where. Applying a little judgment as described above can make it so you're mostly working with positive numbers, but the method works whether the numbers are positive or negative.

6 0
3 years ago
The ratio of boys to girls in the school is 4:3 if there were 16 boys how many girls at in band?
larisa86 [58]

Answer:

12 girls

Step-by-step explanation:

16 divided by 4 is 4

Since the ratio is 4:3, that means that for every 4 boys, there are three girls.

3 x 4 is 12

Your answer is 12 girls.

7 0
3 years ago
Find the equation of the line that is parallel to the line <img src="https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B3%7D%7B2%7Dx%2
ivann1987 [24]

A line parallel to your equation has the same slope, so it should be in the form:


y = (-3/2)x + b


To figure what "b" has to be, plug in the point (4,0) and solve:

0 = (-3/2)*4 + b

0 = -6 + b

6 = b

So the equation of the line is:

y = (-3/2)x + 6

3 0
3 years ago
Read 2 more answers
In the image below, ABC ~ DEF What is the length of EF and the measure of D
Gwar [14]
If triangle ABC is congruent to triangle DEF, then EF = BC = 27
This is because BC and EF are the last two letters of ABC and DEF respectively. They match up and correspond, being congruent by CPCTC

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

Similarly, if triangle ABC is congruent to triangle DEF, then angle D = angle A = 49 degrees

The letter D and the letter A are the first letters of DEF and ABC respectively. So they match up and are congruent by CPCTC

CPCTC = Corresponding Parts of Congruent Triangles are Congruent

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

So in short, the answer is choice B) 27; 49

7 0
3 years ago
Find the area of the shape (1/4 circle with a radius of 2)
QveST [7]
Formula: A = pi(r)^2
1/4(2)^2pi
1/4 * 4 pi = just pi
The area would be 3.14
6 0
3 years ago
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