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2 years ago

Eight times the sum of a number and 9 equals 7.

Mathematics

1 answer:

Dominik [7]2 years ago

8 0

Answer:

8(x+9)=7

comment if you need anything else like solving for x

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What is the standard form polynomial representing the volume of this shipping container?

harina [27]

Answer:

Volume = (24x⁵ + 78x⁴ - 147x³ - 624x² - 360x)

Step-by-step explanation:

Container given in the picture is in the shape of a cuboid.

And volume of a cuboid is measured by the expression,

Volume of a cuboid = Length × width × height

Now substitute the measure of the container's dimensions given in the picture

Volume = (4x² + 3x)(x²- 8)(6x + 15)

= [(4x² + 3x)(x²- 8)](6x + 15)

= [4x²(x² - 8) + 3x(x² - 8)](6x + 15)

= (4x⁴ - 32x² + 3x³ - 24x)(6x + 15)

= (4x⁴ + 3x³ - 32x² - 24x)(6x + 15)

= 6x(4x⁴ + 3x³ - 32x² - 24x) + 15(4x⁴ + 3x³ - 32x² - 24x)

= 24x⁵+ 18x⁴ - 192x³ - 144x² + 60x⁴ + 45x³ - 480x² - 360x

= 24x⁵ + 78x⁴ - 147x³ - 624x² - 360x

8 0

2 years ago

Read 2 more answers

If a person bikes 6 miles in 15 minutes, how far can she bike in 1.5 hours?

Natalka [10]

Answer:

$36\:miles$

Step-by-step explanation:

There is one-and-a-half hour in ninety minutes, so multiply 6 by 15 to get 90, then whatever is done to the bottom is also done to the top, so you square 6 to get 36.

I am joyous to assist you anytime.

8 0

3 years ago

The quotient of 4 and the difference of an integer and 3 is the same as two-thirds. Find the integer.

quester [9]

To find the integer, you must cross multiply, group the same terms, then divide both side by 2:

Solution:
4/(x-3)= 2/3
12 = 2x-6
18=2x
x= 9

7 0

2 years ago

A snail move 6 feet every 10 hours. how far it does in 15 hours

Anna007 [38]

6 feet:10 hours

multiply by 1.5 on both sides

9 feet:15 hours

answer: 9 ft

4 0

3 years ago

The Dallas Development Corporation is considering the purchase of an apartment project for $100,000. They estimate that they wil

katovenus [111]

Answer:

The rate of return is 8.15%

This is a good investment

Explanation:

For the first question, you need to find the rate that makes the present value of a stream of ten constant annual payments of $15,000 equal to the $100,000 investment.

The formula that returns the present value of a constant payment is called the annuity formula and is:

$Present\text{ }value=payment\times \bigg[\dfrac{1}{r}-\dfrac{1}{r(1+r)^t}\bigg]$

In your problem you know:

Present value: $100,000
payment: $15,000
r: ?
t: 10

You cannot solve for r directly. You must guess a value and calculate the right side of the equation until to you find the rate that makes it equal to 100,000.

Try 5%:

$\$15,000\times \bigg[\dfrac{1}{0.05}-\dfrac{1}{0.05(1+0.05)^{10}}\bigg]=\$115,826$

Then, the rate of return is greater than 5%. After several trials you will find that the rate of return is 8.15%.

Since this rate is higher than 8%, which is what the company requires, this is a good investment.

5 0

3 years ago