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3 years ago

How many different colored flags can be made from 10 colors of cloth if each flag is to consist of 3 different stripes?

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

6 0

There are 10 ways to choose the first color, 9 ways to choose the second, and eight to choose the third. 10x9x8=720

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SOLVING EACH SYSTEM BY ELIMINATION x+3y=5 x=-6y+14 HELP

nata0808 [166]

Answer:

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=-4,\:y=3$

Step-by-step explanation:

Given the system of the equations

$x+3y=5;\:x=-6y+14$

solving by elimination method

$\begin{bmatrix}x+3y=5\\ x=-6y+14\end{bmatrix}$

$\mathrm{Arrange\:equation\:variables\:for\:elimination}$

$\begin{bmatrix}x+3y=5\\ x+6y=14\end{bmatrix}$

$x+6y=14$

$-$

$\underline{x+3y=5}$

$3y=9$

$\begin{bmatrix}x+3y=5\\ 3y=9\end{bmatrix}$

solve $3y=9$ for $y$ :

$3y=9$

$\frac{3y}{3}=\frac{9}{3}$

$y=3$

$\mathrm{For\:}x+3y=5\mathrm{\:plug\:in\:}y=3$

Solve $x+3\cdot \:3=5$ for x:

$x+3\cdot \:3=5$

$x+9=5$

$x=-4$

Therefore,

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=-4,\:y=3$

6 0

3 years ago

Haydn made a scale model of a building. The actual height of the building is 75 feet. Haydn's model used a scale in which 1.5 in

vfiekz [6]

Answer:

3.75

Step-by-step explanation:

1.5 equals 30 ft so x2 equals 60 then 15 is half of 20 so half of 1.5 in is .75 so 3 plus .75

7 0

3 years ago

A cake recipe says to bake the cake until the center is 180 degrees F, then let the cake cool to 110 degrees F. The table shows

Kobotan [32]

Answer:

Check the explanation

Step-by-step explanation:

a) The following exponential model would fit the given dataset : $\small y = 129.122 \times (0.9742)^x$

b) To cool down to 110 degrees, it would take approximately 7.3 minutes based on the above model.

8 0

3 years ago

Which expression, when evaluated, has a result that is a natural number?

motikmotik

Answer:

option (C) and option (D)

√4 + 2

√256 · 0.125

Step-by-step explanation:

Natural numbers are positive integers

√5 · 4

4√5

as √5 is not a perfect square

√9 - 5

3 - 5

-2

√4 + 2

2 + 2

√256 · 0.125

16 (0.125)

16(125) {3 decimal places to left}

2000.0

2.0

4 0

3 years ago

The local library has a children’s section with picture books and chapter books. The ratio is 2:3. If there are a total of 500 b

PolarNik [594]

Answer:

300, I think.

8 0

4 years ago

Read 2 more answers