The total weight of a tin and the cookies it contains is 2 pounds. after � of the cookies are eaten, the tin and the remaining cookies weigh 0.8 pounds. what is the weight of the empty tin in pounds?

The equation of the line that passes through (4, -8) and (8, 5) in slope intercept form is y = 13 / 4 x - 21

The slope intercept form of a line is represented as follows;

y = mx + b

where

Therefore,

(4, -8) and (8, 5)

m = 5 + 8 / 8 - 4

m = 13 / 4

Therefore, using (8, 5)

5 = 13 / 4(8) + b

5 = 26 + b

b = 5 - 26

b = -21

Hence, the equation is as follows:

y = 13 / 4 x - 21

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2.5x+15 = 3.5x

 subtract 2.5x from both sides

15 =x

 15 months

38 pizzas times 8 slices each =

38 *8 = 304 slices total

The variable is the number of blueberries, the operation is division, and the constant is 6. Write the division expression as the fraction, b/6 . To evaluate, substitute 210 in for the variable, b, and simplify. 210 divided by 6 is 35. So each bowl has 35 blueberries.

The algebraic expression can be written in terms of the variable b and and evaluated as b/6 = 210/6 = 35

According to the question;

Hence, the algebraic expressions is;

where, b = total number of blueberries

Hence, when b= 210

The number of blueberries in each bowl is; 210/6 = 35

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Final answer:

Using the Triangle Inequality Theorem and given a perimeter of 20 units for a triangle with integer side lengths, the maximum length of one side is found to be 15 units.

Explanation:

To determine the maximum length of one side of a triangle with integer side lengths and a perimeter of 20 units, we must apply the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Given a perimeter of 20 units, if we denote the longest side as x, and the other two sides as y and z, we must satisfy two conditions:

x + y + z = 20 (perimeter condition)

x < y + z (Triangle Inequality Theorem)

Since the triangle has different integer side lengths, the largest x can be is when y and z are consecutive integers because this allows for the largest possible x. If we try the smallest integers, 1 and 2, for y and z, their sum is 3. To satisfy the triangle inequality, the largest possible integer for x would be 20 - 1 - 2 = 17. However, this does not satisfy the inequality x < y + z, because 17 is not less than 3.

Next, we increase y and z to 2 and 3, respectively, which sums up to 5. Thus, for x, we have 20 - 2 - 3 = 15. Since 15 is less than 2 + 3, it satisfies the condition required by the Triangle Inequality Theorem. Therefore, the maximum length of any one side of the triangle is 15 units.

Product means multiplication.

Given w= weight of a trout.

So, we need to convert "product of 16 and weight of trout: w " into an algebraic expression.

So, product of 16 and w can be written as 16*w or simply 16w.

Hence, B is the correct choice.

Answer:

B

Step-by-step explanation:

Hope this helps!

Emma should have used division to represent the quotient of six and x, and she should have used parentheses to show that -2 is multiplied by (4.5 - x). Hence the correct options are 1 and 5.

Emma made two errors in translating the statement "the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5." First, instead of representing the quotient of six and x, she incorrectly wrote 6x, which implies multiplication rather than division. The correct representation should be 6/x.

Second, Emma failed to use parentheses to show that -2 is multiplied by the difference of x and 4.5. The correct expression should be -2(x - 4.5) to ensure proper order of operations. These errors impact the accuracy of the translated equation, and correcting them would yield a more faithful representation of the original statement. Hence the correct options are 1 and 5.

Complete question:

Emma read the statement "the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5." She translated it as shown below 6x=-2x-4.5 What errors did Emma make? Select two options

She should have used division to represent the quotient of six and x.

She should not have included an equal sign.

She should have used parentheses to show that -2 is multiplied by (x-4.5).

She should have subtracted the difference (x-4.5) from -2.

She should have used parentheses to show that -2 is multiplied by (4.5-x).

Emma made the following errors in her translation:

E. She should have used parentheses to show that -2 is multiplied by (x-4.5). Emma’s equation, 6x = -2x - 4.5, lacks parentheses around the expression (x-4.5). To correctly represent the difference of x and 4.5 being multiplied by -2, she should have written -2(x-4.5).

D. She should have subtracted the difference (x-4.5) from -2. Emma’s equation does not correctly account for the subtraction of the difference (x-4.5) from -2. The correct equation should be 6x = -2(x-4.5).

The other options are not relevant to Emma’s specific errors in translating the statement.

Emma made the following errors in her translation:

E. She should have used parentheses to show that -2 is multiplied by (x-4.5). Emma’s equation,

6x = -2x - 4.5, lacks parentheses around the expression

(x-4.5). To correctly represent the difference of x and 4.5 being multiplied by -2

, she should have written

-2(x-4.5)

.D. She should have subtracted the difference(x-4.5) from -2

. Emma’s equation does not correctly account for the subtraction of the difference

(x-4.5)

from

-2

The correct equation should be

6x = -2(x-4.5)

Complete question:

Emma read the statement "the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5." She translated it as shown below 6x=-2x-4.5 What errors did Emma make? Select two options

A. She should have used division to represent the quotient of six and x.

B. She should not have included an equal sign.

C. She should have used parentheses to show that -2 is multiplied by (x-4.5).

D. She should have subtracted the difference (x-4.5) from -2.

E. She should have used parentheses to show that -2 is multiplied by (4.5-x).

The difference between the bank being 1/3 and 1/9 full equals 240 pennies, so 1/9 of the bank's capacity equals 120 pennies. So, Karen's bank can hold a total of 1080 pennies.

This is a mathematics problem dealing with fractions and subtraction. From the problem, we understand that after Karen removes 240 pennies, the bank is 1/9 full from previously being 1/3 full. So, the difference between 1/3 and 1/9, which is 2/9, accounts for the 240 pennies that were removed.

To find out the total capacity of the penny bank, you need to consider that 1/9 (the fraction representing the bank's fill level after removal of the 240 pennies) is equivalent to 120 pennies (half of 240, as 2/9 of the capacity is 240 pennies). This means that the total capacity of the bank (comparable to 9/9 of the fraction) is 120 pennies times 9, which equals to 1080 pennies.

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Answer:

u + v =  <-3 + -3,     -5 + 1> =   <-6 ,  -4>  

u + v  =   <-6 ,  -4>

Step-by-step explanation:

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180 - 70 - 42 = 68

x = 68 degrees

Answer: c: 60

Step-by-step explanation:

i did the test