Solve for x: |2x + 6| − 4 = 20

Answer: For every 9 pieces in Ren's handful of trail mix, there are 2 raisins.

Step-by-step explanation:

Since we have given that

Number of peanuts = 6

Number of raisins = 4

Number of cranberries = 3

Number of chocolates chips = 5

Total = 6+4+3+5=18

If for every 9 pieces in Ren's handful of trail mix, there are 2 say'x'.

According to question,

[tex]\frac{x}{18}\times 9=2\\\\\frac{x}{2}=2\\\\x=4[/tex]

And we know that there are 4 raisins.

Hence, for every 9 pieces in Ren's handful of trail mix, there are 2 raisins.

For every 9 pieces in Ren's handful of trail mix, there are 2 raisins.

Ratio is the relationship between numbers. It is the number of times that one value is contained in another value.

Total number of pieces =  6 peanuts + 4 raisins + 3 cranberries +  5 chocolate = 18

What quantity has 2 in a mix of 9 pieces = (sum of pieces x 2) / 9

(2 x 18) / 9 = 4 raisins

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Patti uses the associative and commutative properties to simplify the expression by first adding 70 and 30. Then, she combines the result with the other numbers step-by-step. This approach makes mental math easier and more efficient.

Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1. She recognizes that the expression will be easier to simplify if she can combine 70 and 30 before she works with the other numbers. The properties of operations that allow Patti to take this approach are the associative property and the commutative property.

The commutative property of addition states that the order in which numbers are added does not affect the sum, meaning (a + b) + c = a + (b + c). The associative property of addition states that the way in which numbers are grouped when added does not affect the sum, meaning a + (b + c) = (a + b) + c.

Here’s a step-by-step breakdown:

Thus, using the commutative and associative properties makes it easier to simplify the expression and arrive at the correct answer of 118.9.

Answer:

b=(2x-3c)/a

Step-by-step explanation:

ab+3c=2x

ab=2x-3c

b=(2x-3c)/a

For the function j(x)=-4/5x+7, the value of x that will make j(x) equal to -5 is 15.

The question asks us to find the value of x for the function j(x)=-4/5x+7 when j(x) is -5. To solve this problem, we can simply substitute j(x) with -5 in the function equation and solve for x.

So, -5 = -4/5x + 7. We can then rearrange this equation to leave x on one side, leading to -4/5x = -5 - 7, which simplifies to -4/5x = -12. To find x, we then divide both sides by -4/5, resulting in x = -12 / (-4/5) = 15.

Therefore, the solution is x = 15, and the given function j(x) will equal -5 when x is 15.

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Answer:

470 nickels

Step-by-step explanation:

$23.50 ÷ 0.05 = 470

Answer:1 the answer 165

Step-by-step explanation:

Ms. Chen will need 165 tiles to cover her workshop floor.

To find the number of tiles Ms. Chen will need, we need to calculate the area of her workshop floor. The area can be calculated by multiplying the length and width of the workshop.

Length: 15 ft
Width: 11 ft

Area = Length x Width
Area = 15 ft x 11 ft
Area = 165 ft2

Since each tile is 1 square foot, the number of tiles needed will be equal to the area of the floor. Therefore, Ms. Chen will need 165 tiles to cover her workshop floor.

The required estimated value of the division of 4020 / 16 is 200.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

here,
As of the given question,
rounding of the number 4020 is 4000, as the digit 20 in ten place is less than 50.

Rounding of the number 16 is 20

Now,
Division = 4000 / 20 = 200

Thus, the required estimated value of the division of 4020 / 16 is 200.

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Final answer:

To estimate 4020 divided by 16, round 4020 to 4000 and 16 to 20, then divide the rounded numbers to get an estimate of 200.

Explanation:

Estimating 4020/ 16 by Rounding

To estimate 4020/ 16 by first rounding each number so that it has only one non-zero digit, we'll start by rounding 4020 and 16 to their most significant figures. We round 4020 to 4000 since the first non-zero digit is a 4 with three following zeros, making it the most significant figure. Similarly, we round 16 to 20 because the leading digit is a 1 which we can round up to a 2 followed by a zero.

Next, we perform the division with our rounded numbers: 4000/ 20 = 200. This is our estimated result after rounding the original numbers to one non-zero digit and performing simple division.

The estimated division is simpler and can be done without a calculator, which is helpful for quick approximations.

The solution is Company A

The company which offers the better deal is Company A with 500 minutes of talk time with $ 49.99

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the the first company be = A

Let the second company be = B

Now , Company A offers

The total talk time by Company A = 500 minutes

The total amount of talk time = $ 49.99

So , the equation will be

The talk time per minute = total talk time by Company A /  total amount of talk time

Substituting the values in the equation , we get

The talk time per minute = 500 / 49.99

The talk time per minute = $ 10.00

Now , Company B offers

The total talk time by Company B = 480 minutes

The total amount of talk time = $ 44.99

So , the equation will be

The talk time per minute = total talk time by Company B /  total amount of talk time

Substituting the values in the equation , we get

The talk time per minute = 480 / 44.99

The talk time per minute = $ 10.66

Therefore , the value of talk time per minute of Company A is less than Company B

Hence , The company which offers the better deal is Company A with 500 minutes of talk time with $ 49.99

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Molly has 6 balloons.

Since Ann has seven balloons and Molly has a set less of balloons, we need to determine the value of the set.

We can represent the number of balloons Molly has as a variable, let's say x. So, the equation becomes: x = 7 - 1.

To solve the equation, we subtract 1 from 7, giving us the answer: x = 6. Therefore, Molly has 6 balloons.

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If U= -2.8

-6.4-4*-2.8=4.8

So the answer is B.

Hope this helps!