Name the set of 6 consecutive integers starting with -3.

Katie is making chocolate candies for her classmates' Valentine's Day gifts. She melts 12.8 ounces of chocolate and divides it a

vovangra [49]

Answer:

0.32 ounces of chocolate per mold

Step-by-step explanation:

6 0

3 years ago

How many pennies could you have if: When you break the pennies into groups of 2, you have 1 penny left over, AND when you break

zhenek [66]

Answer:

91

Step-by-step explanation:

"When you break the pennies into groups of 2, you have 1 penny left over"

You have an odd number of pennies.

"when you break the pennies into groups of 3, you have 1 penny left over"

The number of pennies is one more than a multiple of 3.

"when you break the pennies into groups of 5, you have 1 penny left over"

A number that is divisible by 5 ends in 0 or 5. You have one more penny than that, so the number will end in 1 or 6. We already know the number is odd, so it cannot end in 6. The number of pennies must end in 1.

"when you break the pennies into groups of 7, you have NO pennies left over"

The number is a multiple of 7.

We need a multiple of 7 that ends in 1.

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, ...

You could have 91.

4 0

3 years ago

Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most

Yuliya22 [10]

Answer: w lesser than or equal to 4

Step-by-step explanation:

Dwight and Walt are building model cars.

Let d = the number of models built by Dwight.

Let w = the number of models built by Walt.

Dwight builds 7 fewer models than 4 times the number Walt builds. This can be expressed as

d = 4w - 7 - - - - - - - - - 1

Dwight builds at most 9 models. This is expressed as

d lesser than or equal to 9

From equation 1

d = 4w - 7

4w = d + 7

w = (d+7)/4

Assuming Dwight built 9 models

w = (9+7)/4 = 4

Therefore,

Walt builds at most 4 models. It is expressed as

w lesser than or equal to 4

It is shown in the attached photo

7 0

3 years ago

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A hardware store sold 630 lawn mowers in one year. If 441 lawn mowers were purchased in the spring, what is the ratio of the num

AlekseyPX

Answer:

$Ratio = 0.7$

Step-by-step explanation:

Given

$Total = 630$

$Spring = 441$

Required

Determine the ratio of lawns in spring to total

$Ratio = Spring:Total$

$Ratio = 441 : 630$

Convert to fraction

$Ratio = \frac{441}{630}$

$Ratio = 0.7$

<em>Hence, the ratio of lawns sold in spring to the total is 0.7</em>

5 0

3 years ago

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City Tours rents bicycles for $10 an hour with a maximum daily fee of $100. Bicycles must be returned the same day they are rent

Vesna [10]

The domain of the function can be represented using set-builder notation as follows: {x | x is a positive integer}. The range of the function can be represented using inequality notation as follows: 0 ≤ y ≤ 100.

<h3>What are the domain and range of the function?</h3>

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

Part A:

Hours Cost

1 10

3 30

11 100

20 100

Part B:

The domain of the function that represents the cost of renting a bicycle is the set of all possible values of the number of hours the bicycle is rented for. In this case, the domain is the set of all positive integers, because the bicycles must be returned the same day they are rented.

The range of the function is the set of all possible values of the cost of renting the bicycle. In this case, the range is the set of all non-negative numbers less than or equal to 100, because the maximum daily fee is $100.

Part C:

The domain of the function can be represented using set-builder notation as follows:

{x | x is a positive integer}

The range of the function can be represented using inequality notation as follows:

0 ≤ y ≤ 100

Learn more about the domain and the range here:

brainly.com/question/21027387

#SPJ1

3 0

1 year ago