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3 years ago

Determine if -5 3/4 + 3 4/5 positive or negative

Mathematics

1 answer:

xeze [42]3 years ago

3 0

The answer is negative, because the first number is negative.

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Find two consecutive odd integers whose product is 99.

kherson [118]

Given:

Product of two consecutive odd integers is 99.

To find:

The two consecutive odd integers.

Solution:

Let the two consecutive odd integers are x and (x+2).

Product of two consecutive odd integers is 99.

$x(x+2)=99$

$x^2+2x-99=0$

Splitting the middle term, we get

$x^2+11x-9x-99=0$

$x(x+11)-9(x+11)=0$

$(x+11)(x-9)=0$

$x=-11,9$

If x=-11, then second odd integer is

$-11+2=-9$

If x=9, then second odd integer is

$9+2=11$

Therefore, the two consecutive odd integers are either -11, -9 or 9, 11.

6 0

3 years ago

Find the volume of this object.

natka813 [3]

Well to start off, the cone. It says switch ‘’ to 3 and for r (radius), we know the diameter is 6, and the radius is half of it. So the radius is 3 in.
so far it’s 3•3..to the power of two times ‘H’ (height) the height is 10, as you can see in the picture. So the equation we have so far is:
3•3^2•10 / 3 the answer to that is 90in
For the rectangle, the volume for rectangular prisms is length • width • height
so it’s 8 • 8• 1 which equals, 64 inches.
Now all you got to do is Add both answers.
90+64 = 154 in. That’s the answer

8 0

3 years ago

Sue used to have a square garage with 286 ft squared of floor space. He recently built an addition to it. The garage is still a

nekit [7.7K]

Answer:

New Length = 20.71 feet

Original Length = 16.91 feet

22.47%

Step-by-step explanation:

Original area of the square garage = 286 ft squared

Addition of 50% more space

New area of the garage = 286 + .50(286)

= 286 + 143

= 429 square feet

What was the length of one side of the garage originally?

Original area of the square garage = 286 ft squared

Area of a square = length^2

286 = length^2

Find the square root of both sides

√286 = √length^2

Original Length = 16.91 feet

What is the length of one side of the garage now?

New area of the garage = 429 square feet

Area of a square = length^2

429 = length^2

Find the square root of both sides

√429 = √length^2

New Length = 20.71 feet

What was the percent increase in the length of one side?

(New length - old length) / old length × 100

= (20.71 feet - 16.91 feet) / 16.91 feet × 100

= 3.8 feet / 16.91 feet × 100

= 0.2247 × 100

= 22.47%

3 0

3 years ago

As the number of pages in a photo book increases, the prices of the book also increases. There is an additional shipping charge

Brums [2.3K]

Equate P as 62.10 since we are looking for the MAX value for x (then a legitimate one if necessary)

(20 + 0.5x) + (3 + 0.075x) = 62.1
= 0.575x + 23 = 62.1
x = (62.1-23)/0.575
x = 680

6 0

3 years ago

One dozen mangoes cost $120.00. what is the cost of 8 mangoes??

Alenkinab [10]

Answer:

$80.00

Step-by-step explanation:

12m = 120

m = 10

Therefore, 8m must equal 80.

4 0

3 years ago

Read 2 more answers