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14 days ago

A-B=18 A:B is equivalent to 11:5

2 answers:

8 0

One method is to exert force (identify larger equivalent ratios and add them), so to increase them, we multiply both by the same number: 11:5. For instance, 11:5 added to itself gives us 16, but that's incorrect. If we scale both by 5, it translates to 55:25. When we sum those up, 55 + 25 equals 80. We can simply add the numbers prior to multiplying, then multiply afterwards. Thus, 11 + 5 equals 16, which leads us to divide each side by 16. This yields 1.125, meaning we must scale up both by 1.125. Hence, 11:5 multiplied by 1.125 results in 12.375:5.625, which totals 18. Thus, a equals 12.375 and b equals 5.625. Hope this aids you!)

Svet_ta [12.7K]14 days ago

4 0

A equals 33 and B equals 15. To determine the values of A and B, we need to consider the ratio A: B, which is equivalent to 11:5. We can multiply both terms of this ratio by a certain number to produce two values that fulfill the condition A - B = 18. The most straightforward approach would be to start with A = 11 and B = 5, but 11 - 5 does not yield 18, giving 6 instead. Another alternative is to double the ratio, producing 22:10, but that ends up being A = 22 and B = 10, resulting in 22 - 10 also not equaling 18. Thus, we find the correct solution by tripling the proportion: 3(11:5) gives us 33 and 15, which satisfies A - B = 18 since 33 - 15 = 18.

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Answer:

graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x

Step-by-step explanation:

The deodorant starts to evaporate, indicating a mass reduction, thus 12% represents the decay rate. In exponential decay, the function's graphical representation adheres to the formula:

$y=a(1-r)^x$

Where $a$ signifies the starting quantity ( $a=30$ ), $r$ is the decay rate ( $r=0.12$ ) and $x$ denotes the time intervals, measured in days for this case. By inserting the given values into the formula:

$y=30(1-0.12)^x\\y=30(0.88)^x$

Which aligns with the "graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x".

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On her birthday, Sonia distributed chocolates in an orphanage. She gave 5 chocolates to each child and 20 chocolates to adults.

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Answer with explanation:

Total number of children = x

Total chocolates shared = y

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1 month ago

Jada plans to serve milk and healthy cookies for a book club meeting. She is preparing 12 ounces of milk and 4 cookies per perso

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Jada intends to provide milk and nutritious cookies at a gathering for her book club. She has planned to offer 12 ounces of milk and 4 cookies for each participant. With her included, the total number of club members is 15. Each package of cookies has 24 cookies and is priced at $4.50. A gallon of milk has 128 ounces and costs $3. Let n denote the club members, m for the ounces of milk, c for the cookies, and b for Jada's budget in dollars. Identify all equations that could represent the relevant quantities and constraints in this scenario.

â m = 12(15)

n refers to the club members

b. 3m + 4.5c = 6

c. 4n =

m stands for ounces of milk

& 44.50) = C

c indicates the cookies

e b=2(3) + 3(4.50)

b denotes Jada's budget in

currency

The equations applicable for representing the quantities and constraints in this scenario are:

a) m = 12(15)

c)4n = c

e) b = 2(3) + 3(4.50)

Detailed explanation:

Jada is set to provide milk and nutritious cookies for her book club meeting

She plans to prepare 12 ounces of milk and 4 cookies for each individual

She has 15 members in total

A pack of cookies contains 24 cookies and costs $4.50

A gallon of milk has 128 ounces and costs $3

Designate the total members by n

Ounces of milk = m

The number of cookies = c

Jada's budget in dollars = d

y = 12(15)

Each individual will receive 4 cookies

4n = c

As one pack contains 24 cookies

She requires = 15 × 4 = 60 cookies

60 ÷ 24 = 2.5

Thus, she would need to purchase 3 packs of cookies

She needs = 15 × 12 = 180 ounces of milk

A gallon of milk contains 128 ounces

180 ÷ 128 = 1.406

She will need to acquire 2 gallons of milk

It's noted: from the prompt

Each gallon of milk costs $3

Each package of cookies costs $4.50

b serves as Jada's dollar budget

b = 2(3) + 3(4.50)

<pThe relevant equations that could signify the quantities and constraints in this scenario are:

Options a, c and e are valid

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