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3 years ago

5

A drawer in lisa's class is in the shape of a rectangular prism with a length of 12 inches, a width of 1012 inches, and a height

of 21 inches. what is the volume of the drawer, in cubic inches?

1 answer:

zalisa [80]3 years ago

4 0

I think the answer is 255024

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Tickets for an American Baseball League game for 3 adults and 3 children cost less than $75, while tickets for 2 adults and 4 ch

nikitadnepr [17]

<h3>No, the cost of 1 adult ticket cannot be $ 20 and the cost of 1 children ticket is not $ 8.</h3>

Step-by-step explanation:

Let us assume the cots of ticket for 1 adult = $ x

Let us assume the cots of ticket for 1 children = $ y

So, the cost of ticket for 3 adults = 3 x ( Cost of 1 adult ticket) = 3 x

The cost of ticket for 3 children = 3 x ( Cost of 1 children ticket) = 3 y

Also, given the combined cost of 3 adult and children ticket is less than $75.

⇒ 3 x + 3 y < 75 ... (1)

Similarly, the cost of ticket for 2 adults = 2 x

The cost of ticket for 4 children = 4 y

⇒ 2 x + 4 y < 62 ... (2)

Now, solving for the values of x and y, we get:

3 x + 3 y < 75 or, x + y < 25 ⇒ x = 25 - y ( substitute in 2)

2 x + 4 y < 62 or, x + 2 y < 31

⇒ 25 - y + 2 y < 31

or, y + 25 < 31

or, y < 6

⇒ x = 25 - 6 = 19

or, x < 19

So, the cost of 1 adult ticket is x and is less than $19.

The cost of 1 child ticket is y and is less than $6.

Hence, by above statement, NO the cost of 1 adult ticket can not be $ 20 and the cost of 1 children ticket is not $ 8.

4 0

3 years ago

The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principa

Levart [38]

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

$A=P(1+\frac{r}{n})^{nt}$

Where A = amount (98,000)

P = Principal amount (P)

r = rate of interest 4.1% (0.041)

n = number of compounding interest monthly (12)

t = time (35 years)

$98,000=P(1+\frac{0.041}{12})^{(12)(35)}$

$98,000=P(1+0.003416)^{(420)}$

$98,000=P(1.003416)^{(420)}$

98,000 = P(4.189386)

= 4.189386P = 98,000

P = $\frac{98000}{4.189386}$

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

5 0

3 years ago

Read 2 more answers

Simplify fully 16x÷2xy

kogti [31]

Answer:

so you divide 16x÷2xy=8/y

which also same as 8y-¹

8 0

2 years ago

Read 2 more answers

Which of the following coordinate pairs make the equation x - 9y = 12 true?

Natalka [10]

(12, 0)

12-9(0)=12
12-0=12
12=12

7 0

2 years ago

What's the answer ????

Dmitrij [34]

$y=\frac{1}{2}x+2$

Just plug x in and you'll get each y value.

So the answer is A.

5 0

3 years ago