A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled the sales of the second week for the third week to sell a total of 431 boxes of cookies, how many did they sell each week?They sold ___ boxes the first week, _ boxes the second week, and __ boxes the third week.

Answers

Answer 1

Answer: So,

We have three placeholders.

x, y, and z will represent the number of cookie boxes they sold for the first, second, and third weeks, respectively.

"The girls sold 5 more boxes the second week than they did the first."
x + 5 = y

"They doubled the sales of the second week for the third week."
z = 2y

"To sell a total of 431 boxes of cookies"
x + y + z = 431

Now we have our three equations.
x + 5 = y
z = 2y
x + y + z = 431

Obviously, we can substitute y and z in the last equation, because the other two open sentences tell us what they are.
x + (x + 5) + 2(x + 5) = 431
x + x + 5 + 2(x + 5) = 431

Collect Like Terms.
2x + 5 + 2(x + 5) = 431

Distribute.
2x + 5 + 2x + 10 = 431

Collect Like Terms.
4x + 15 = 431

Subtract 15 from both sides.
4x = 416

Divide both sides by 4.
x = 104

Now we can use the other two original sentences to figure out what y and z are.
x + 5 = y
104 + 5 = y
109 = y

z = 2y
z = 2(109)
z = 218

Now, to check, add x, y, and z.
x + y + z = 431
104 + 109 + 218 = 431
213 + 218 = 431
431 = 431 This checks.

The Girl Scouts sold 104 cookie boxes on the first week, 109 boxes on the second week, and 218 boxes on the third week.

Answer 2

Answer:

Answer:

IT'S CORRECT!

Step-by-step explanation:

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What are the coefficients in the expression, 9 - 4 + 3b + 7a?

Answers

The coefficients in the expression are 3 and 7.

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given expression is,

9 - 4 + 3b + 7a

So, from the given expression we can see that there are 4 terms, 2 constants and 2 coefficients.

The coefficient of b is 3,

and coefficient of a is 7.

So, there are 2 coefficients in the given expression.

Thus, the coefficients in the expression are 3 and 7.

To learn more about expressions :

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Answer:

The coefficients are b and a

What has at least one right angle but is not a square

Answers

There is a Right Triangle

What is the solution to the system of equations? y = 1/2x-6 and x=-4

Answers

All you have to do is plug -4 for x

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Solve the system of equations.2.5y + 3x = 27
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What equation is the result of adding the two equations?

What is the solution to the system?

Answers

If you put them together, +2.5y and -2.5y neutralize themselves while 5x and 3x become 8x.

2.5y + 3x = 27
5x – 2.5y = 5

8x = 32
x = 4

2.5y + 3x4 = 27
2.5y + 12 = 27
2.5y = 27-12
2.5y = 15
y = 15/2.5
y = 6

X = 4
Y = 6

Answer:

x=4 Y=6

Step-by-step explanation:

Lily has 3 dog toys that are red. one fourth of all her dog toys are red. how many dog toys does lily have? first draw _ circles to show _ equal parts.

Answers

so she has 12 dogs toys because if she has three dogs and they are a fourth of the total you can just multiply 3 four times.

do you get it?

i hope i helped

Answer:

Step-by-step explanation:

In two or more complete sentences, describe why the range of y = cos(x) is -1 ≤ y ≤ 1. Make sure to reference the unit circle in your description.

Answers

Answer:

The range of cos(x) is -1 to 1 (with brackets if in interval notation as -1 and 1 can be included) is because the radius of the unit circle is also 1. If the range went past -1 or 1, the unit circle could not define those values, and would turn up as error or undefined. Now, if you replace a in y = acos(x) + b, the range would be different because you amplified the equation and thus the range and radius.

Step-by-step explanation:

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