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kobusy [5.1K]
3 years ago
10

Which ordered triple is a solution of the following linear system?: 3n = -18 3m - 2n + 4p = 12 2m - 4n = 16

Mathematics
1 answer:
Fynjy0 [20]3 years ago
7 0
\displaystyle  \begin{cases}3n=-18\\ 3m-2n+4p=12\\2m-4n=16 \end{cases}\Rightarrow \begin{cases}n=-6\\ 3m+12+4p=12\\2m+24=16 \end{cases} \Rightarrow \\\\\Rightarrow \begin{cases}n=-6\\ -12+12+4p=12\\m=-4 \end{cases} \Rightarrow  \begin{cases}n=-6\\ p=3\\m=-4 \end{cases}

So, solution of the linear system is the following ordered triple (-4,-6,3)
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FIND THE INDICATED PROBABILITY FOR THE FOLLOWING:
luda_lava [24]

The value of the probability P(A) is 0.40

<h3>How to determine the probability?</h3>

The given parameters about the probability are

P(A or B) = 0.6

P(B) = 0.3

P(A and B) = 0.1

To calculate the probability P(A), we use the following formula

P(A and B) = P(A) + P(B) - P(A or B)

Substitute the known values in the above equation

0.1 = 0.3 + P(A) - 0.6

Collect the like terms

P(A)= 0.1 - 0.3 + 0.6

Evaluate the expression

P(A)= 0.4

Hence, the value of the probability P(A) is 0.40

Read more about probability at

brainly.com/question/25870256

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3 0
2 years ago
Absolute Bagels makes bagels using two different recipes, one recipe for regular bagels
shutvik [7]

Answer:

At its most basic, traditional bagel dough contains wheat flour (without germ or bran), salt, water, and yeast leavening. Bread flour or other high gluten flours are preferred to create the firm, dense but spongy bagel shape and chewy texture.

Step-by-step explanation:

A bagel (Yiddish: בײגל, romanized: beygl; Polish: bajgiel; also historically spelled beigel)[1] is a bread product originating in the Jewish communities of Poland. It is traditionally shaped by hand into the form of a ring from yeasted wheat dough, roughly hand-sized, that is first boiled for a short time in water and then baked. The result is a dense, chewy, doughy interior with a browned and sometimes crisp exterior. Bagels are often topped with seeds baked on the outer crust, with the traditional ones being poppy and sesame seeds. Some may have salt sprinkled on their surface, and there are different dough types, such as whole-grain and rye.

The earliest known mention of a boiled-then-baked ring-shaped bread can be found in a 13th-century Arabic cookbook, where they are referred to as ka'ak.[4] Today, bagels are widely associated with Ashkenazi Jews from the 17th century; it was first mentioned in 1610 in Jewish community ordinances in Kraków, Poland.Bagel-like bread known as obwarzanek was common earlier in Poland as seen in royal family accounts from 1394.

Bagels are now a popular bread product in North America and Poland, especially in cities with a large Jewish population, many with alternative ways of making them. Bagels are also sold (fresh or frozen, often in many flavors) in supermarkets.

The basic roll-with-a-hole design is hundreds of years old and has other practical advantages besides providing more even cooking and baking of the dough: The hole could be used to thread string or dowels through groups of bagels, allowing easier handling and transportation and more appealing seller displays.

8 0
2 years ago
The angles in a triangle are in the ratio 1:2:3. Show that this triangle is a right-angled triangle. The hypotenuse of the trian
natita [175]

Answer:

see explanation

Step-by-step explanation:

(a)

Sum the parts of the ratio , 1 + 2 + 3 = 6 parts

Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Since there is an angle of 90° then the triangle is right.

(b)

The shortest side is the side opposite the smallest angle of 30°

Using the sine ratio and the exact value

sin30° = \frac{1}{2} , then

sin30° = \frac{opp}{hyp} = \frac{opp}{19} = \frac{1}{2} ( cross- multiply )

2 opp = 19 ( divide both sides by 2 )

opp = 9,5

Shortest side in the triangle is 9.5 cm

6 0
3 years ago
What is the measure of angle Y?
Grace [21]

Answer:

what's the question

Step-by-step explanation:

is there a photo you can post we need more info

7 0
3 years ago
What is the value of x? <br><br> Enter your answer in the box.<br><br> x =___
Zanzabum

Answer:

x = 12

Step-by-step explanation:

The diagram shows an equilateral triangle (because all angles are congruent). All sides in equilateral triangle are congruent, so

4x-10=5x-22=3x+2

Solve the equation

4x-10=5x-22\\ \\4x-10-4x=5x-22-4x\\ \\-10=x-22\\ \\-10+22=x-22+22\\ \\12=x

Check this value:

4x-10=4\cdot 12-10=48-10=38\ units \\ \\5x-22=5\cdot 12-22=60-22=38\ units\\ \\3x+2=3\cdot 12+2=36+2=38\ units

Thus, x=12

8 0
3 years ago
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