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3 years ago

If I paid $9.00 for 4 lb of candies, how much candies can I buy for $12.00?

Mathematics

1 answer:

Lina20 [59]3 years ago

3 0

Answer:

We are given that 4 lb of candies are bought for $9.00

Therefore, the price of 1 lb of candies is:

$\frac{9}{4}=2.25$

Now the amount of candies that can bought for $12.00 is:

$\frac{12}{2.25} =5.3333$ lb

Therefore, 5.3333 lb of candies can be bought for $12.00

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Solve for w. -22w-5)+5w-5(w+4) Simplify your answer as much as possible.

Anna [14]

Answer: −22w−25

Step-by-step explanation: Distribute:

=−22w+−5+5w+(−5)(w)+(−5)(4)

=−22w+−5+5w+−5w+−20

Combine Like Terms:

=−22w+−5+5w+−5w+−20

=(−22w+5w+−5w)+(−5+−20)

=−22w+−25

8 0

3 years ago

For the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled b

dmitriy555 [2]

Answer:

2019.

Step-by-step explanation:

We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by $H = 1,500e^{0.053t}$ where t is the number of years past 2000.

To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute $H=4,000$ in our given formula and solve for t as:

$4,000= 1,500e^{0.053t}$

$\frac{4,000}{1,500}=\frac{ 1,500e^{0.053t}}{1,500}$

$\frac{8}{3}=e^{0.053t}$

$e^{0.053t}=\frac{8}{3}$

Take natural log of both sides:

$\text{ln}(e^{0.053t})=\text{ln}(\frac{8}{3})$

$0.053t\cdot \text{ln}(e)=\text{ln}(\frac{8}{3})$

$0.053t\cdot (1)=0.9808292530117262$

$\frac{0.053t}{0.053}=\frac{0.9808292530117262}{0.053}$

$t=18.506212320$

So in the 18.5 years after 2000 the expenditure will reach 4 trillion.

$2000+18.5=2018.5$

Therefore, in year 2019 national health care expenditures are expected to reach $4.0 trillion.

7 0

3 years ago

A rectangle has a width of 2cm and a perimeter of 25cm. Find the length and the area .

Gwar [14]

2w + 2l = 25

2 * 2 + 2l = 25

Simplfiy.

4 + 2l = 25

Subtract 4 from both sides.

2l = 21

Divide both sides by 2.

l = 10.5

Now that we have the value of l, we can find the area.

A = lw

A = 10.5 * 2

A = 21.

The length is 10.5cm.

The area of the rectangle is 21cm^2

5 0

3 years ago

charlee wants to send postcards to all of her family and friends but she does not have any postcards she does have 3 large sheet

Elza [17]

Answer:

Step-by-step explanation:

You do 12*3 because if 1 sheet of poster board can make 12 post cards, and you have 3 poster boards you will need 3 lots of 12 which is equivalent to 3*12!

Hope this helps!

8 0

3 years ago

To be a vertical angle, the angles have to be next to each other. A. True B. False

12345 [234]

False, vertical angles are not next to each other but opposite of each other

3 0

3 years ago