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3 years ago

In a dog show, there will be a gold, a silver, and a bronze medal awarded. There are

Mathematics

2 answers:

Monica [59]3 years ago

8 0

A lot of ways medals can be awarded

VLD [36.1K]3 years ago

3 0

The correct answer is give the medal to the top 3 people

Hope this helps!

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Use completing the square to solve the equation x2+16x=−44 . First determine the number you must add to both sides of the equati

lilavasa [31]

Answer:

We will add 64 to both sides.

x=8±√20

Step-by-step explanation:

Here we are given the equation:

$x^{2}+16x=-44$

Now we take half of the coefficient of x and add it to x.

Coefficient of x is 16, half of 16 is 8.

Also we add square of 8 to both sides.

So new equation becomes:

$x^{2}+16x+64=-44+64$

Completing the square:

$(x+8)^{2}=20$

NOw let us simplify it to get the value of x.

Taking square root on both sides:

$x+8=+/-\sqrt{20}$

Bringing 8 to the right side:

x=8±√20

4 0

3 years ago

One side of a roof is in the shape of a trapezoid (similar to the one on Pizza Hut). The top row requires 10 shingles, the secon

larisa [96]

<span> It would depend on the number of rows?

This is an arithmetic sequence and the sum of n terms is --> n/2(2a+(n-1)d), where a is the first term and d is the common difference. In this case a = 10, d =6

n/2(20+6(n-1)) = 3n^2 + 7n = ANSWER

n = number of rows

</span>

6 0

3 years ago

A chemist wants to mix a 66% alcohol solution with eight liters of 54% alcohol solution to produce a solution that is 65% alcoho

Rzqust [24]

Answer:

We have 8 liters of 54% alcohol.

We will add "x" liters of 66% alcohol to make "8 +x" liters of 65% alcohol.

54 * 8 + 66 x = 65 (8 + x)

432 + 66x = 520 + 65x

x = 88 liters

Step-by-step explanation:

3 0

3 years ago

What is 4 1/3 × 2 3/5? express it in lowest terms

soldier1979 [14.2K]

We have,

$4\dfrac{1}{3}\cdot2\dfrac{3}{5}=\dfrac{13}{3}\cdot\dfrac{13}{5}=\dfrac{13\cdot13}{3\cdot5}=\dfrac{169}{15}=\boxed{11.2\bar{6}}$

To express periodic number calculated we use:

$x=11.2\bar{6}\\10x = 112.\bar{6}\\100x=1126.\bar{6}\\90x=100x-10x\Longrightarrow90x=1126.\bar6-112.\bar6\\90x=1014\\x=\dfrac{1014}{90}=\boxed{11\dfrac{24}{90}}$

Hope this helps.

r3t40

3 0

3 years ago

Ksenya-84 [330]

The answer is. f(x) 2x+6

3 0

2 years ago