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Veseljchak [2.6K]
4 years ago
14

A balloon rises to the ceiling of a gymnasium. You want to find the distance from

Mathematics
1 answer:
aivan3 [116]4 years ago
4 0
The answer is 32. you would multiply 8 times 4 which is 32 feet.
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Question Help
ValentinkaMS [17]

Step-by-step explanation:

We assume that the advertising rates in this journal for full-page ads is x ($/ad); the rate for half-page ads is y ($/ad).

The revenue for 3 full page ads are: 3x ($)

The revenue for 5 half page ads are: 5y ($)

One issue of a journal has 3 full-page ads and 5 half-page ads, generating $6340.

=> The total revenue for 3 full page and 5 half page ads are $6340

=> 3x + 5y = 6340

The revenue for 4 full page ads are: 4x ($)

The revenue for 4 half page ads are: 4y ($)

One issue of a journal has 4 full-page ads and 4 half-page ads, generating $6625.

=> The total revenue for 4 full page and 4 half page ads are $6625

=> 4x + 4y = 6625 (1)

We have:

+) 3x + 5y = 6340

=> 5y = 6340 - 3x

=> y = (6340 - 3x)/5 = 1268 - 0.6x

Replace <em>y = 1268 - 0.6x </em>into (1), we have:

4x + 4y = 6625

⇔4x + 4(1268 - 0.6x) = 6625

⇔ 4x + 5072 - 2.4x = 6625

⇔ 1.6x = 1553

⇔ x = 1553/1.6 = 970.625

=> y = 1268 - 0.6x = 1268 - 0.6*970.625= 1268 - 582.375 = 685.625

So the advertising rate for full page ads is $970.625, for half-page ads is $685.625

7 0
4 years ago
Prove that the value of the expression does not depend on the variable x: x4–(x2–1)(x2+1)
Reil [10]
x^4 - (x^2-1)(x^2+1)

Use the formula: (a+b)(a-b) = a^2 - b^2

x^4 - [(x^2)^2 - 1^2]\\\\x^4 - (x^4-1)\\\\x^4 - x^4 + 1\\\\\boxed{\bf{1}}

No matter what the value of 'x' is, the final answer will always be 1.
4 0
3 years ago
Read 2 more answers
What is the difference between a pot and a saucepan?
andriy [413]
The main differences are in the usage and in the design. Although they look similar, pots usually have 2 smaller handles, one on each side, while saucepans usually have one longer handle. The usage part differs because pots are used mostly to boil things like water or pasta or similar things inside, while a sauce pan is usually used for making sauces because reduction is much easier since you can move the saucepan as you see fit while you stir with the other hand.
6 0
4 years ago
Read 2 more answers
Arlo invested $4000 in an account that earns 5.5% interest, compounded annually. The formula for compound interest is A(t)=P(1+i
USPshnik [31]

\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A=4000\left(1+\frac{0.055}{1}\right)^{1\cdot 4}\implies A=4000(1.055)^4\implies A\approx 4955.2986

4 0
3 years ago
Read 2 more answers
Solve A = h (a + b) for b.
fenix001 [56]

Answer:

b=A/h-a

Step-by-step explanation:

A=h(a+b)

a+b=A/h

b=A/h-a

8 0
3 years ago
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