Which properties were applied in steps 1 and 3step 1 5(11z+6z+29)
step 3 85z+145

commutative property, then distributive property
communtative property, then identify property
associative property, then distributive property
associative property, then commutative property?

Answers

Answer 1

Answer: C - Associative then Distributive

Associative allows the combining of like terms (Both with variable z)
Distributive allows the 5 to distribute through

5(11z+6z+29)
5(17z+29)
5(17z)+5(29)
85z+145

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How to write 4/10 as a product of a whole number and a unit fraction
Please answer this correctly I have to finish the sums by today.I want smart people to answer like helping hand people.
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1/3 ton to the nearest pound

How many batches of 12 muffins can be made using one gallon of milk if 1/2 cup of milk makes 12 muffins?

Answers

2, because if you divide one by one half, it equals 2

Final answer:

Given the conversion rate of 1 gallon = 16 cups and that 1/2 cup of milk makes 12 muffins, you can make 32 batches of 12 muffins using one gallon of milk.

Explanation:

The subject we are dealing with here is Mathematics and it's about a practical application of ratios and conversions. The student wants to know how many batches of 12 muffins can be made using one gallon of milk, given that 1/2 cup of milk makes 12 muffins.

To solve this, we first need to understand the relationship between gallons and cups. Specifically, 1 gallon is equivalent to 16 cups. If 1/2 cup of milk makes 12 muffins, hence 1 gallon, or 16 cups, will make 2 batches/cup x 16 cups/gallon = 32 batches of muffins.

Therefore, one gallon of milk can be used to bake 32 batches of 12 muffins each.

Learn more about Muffin Batches here:

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Max purchased a box of green tea mints. The nutrition label on the box stated that a serving of three mints contains a total of 10 calories. Write an equation that represents C(x), where C(x) represents the number of Calories in x mins. A full box of mints contains 180 calories. Determine the total number of mints in the box.

Answers

ok so 3 mints=10 calories
if you input 3 for number of mints, ou get 10 for caloires
10=k3
divide both sides by 3
10/3=k

therfor
C(x)=(10/3)x

full box =180 caloies
therefor
full=180=(10/3)x
multiplyboth sides by 3/10 to clear fraction (since 10/3 times 3/10=30/30=1)
540/10=x
54=x

54 cookies

ANSWER
equation is
c(x)=(10/3)x
54 mints per box

C(x)= 180 we know 3 mints=10 cal. so if there's 180 cals. 18*3= 54 hope I helped.

A car wash detailed 288 cars in 9 hours. At what rate did the car wash detail cars in cars per hour? A. 31 cars per hour B. 33 cars per hour C. 30 cars per hour D. 32 cars per hour

Answers

Divide the number of cars by the number of hours:

288 / 9 = 32 cars per hour.

How many 4/5 cup servings are in 4/9 of a cup of yogurt

Answers

Answer:

$(5)/(9)$

Step-by-step explanation:

Unit rate is defined as the rate are expressed as a quantity as 1 such as 3 meter per second or 4 miles per hour.

As per the statement:

4/5 cup servings are in 4/9 of a cup of yogurt

then by definition of unit rate:

$\text{Unit rate per cup} = ((4)/(9) )/((4)/(5) ) = (4)/(9) * (5)/(4)$

Simplify:

$\text{Unit rate per cup} = (5)/(9) \text{Yogurt}$

therefore, 4/5 cup servings are in 4/9 of a cup of yogurt is, $(5)/(9)$ cup of yogurt

For this question, you need to understand how to divide fractions.First we line up our fractions appropriately:
4/9 ÷ 4/5 = ? (You want to divide 4/9 by 4/5)
4/9 × 5/4 = ? (Now we use the reciprocal of 4/5 and multiply instead of divide)
4 x 5 = 20 and 9 x 4 = 36. (Cross multiply.)
20/36 = 5/9. (Simplify to lowest terms.)
So, 4/9 divided by 4/5 is 5/9!But 5/9 is more than 4/9, so the answer is 0 :PCorrect me if I'm wrong.

Show your work:Use the distributive property in two different ways to find the product of 127 and 32.

Answers

The distributive property: a(b + c) = ab + ac

127 × 32 = 127 × (30 + 2) = 127 × 30 + 127 × 2 = (130 - 3) × 30 + (130 - 3) × 2

=(130)(30) - (3)(30) + (130)(2) - (3)(2) = 3900 - 90 + 260 - 6

= 3810 + 254 = 4064

127 × 32 = (130 - 3) × 32 = 130 × 32 - 3 × 32 = 130 × (30 + 2) - 96

= (130)(30) + (130)(2) - 96 = 3900 + 260 - (100 - 4) = 4160 - 100 + 4

= 4060 + 4 = 4064

(1 pt)
Segment km is 18 cm long.

How long is the radius of circle N?

Answers

Segment KM is the diameter of the circle.

Diameter = Radius * 2

Segment KM is 18

18 = Radius * 2

Radius = 18/2

Radius = 9 cm

The radius of circle N is 9 cm.

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