What is the sum
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The graph of the inequality system is attached. The coordinate of a point in the solution set is (-1, 2).

In order to graph the system of inequalities graphically, consider the equation of each inequality.

y = x – 1

y = x - 4

Choosing a few values of x, plot the graph for each equation. Shade the area bounded by the line based on the inequality. If the inequality is less than, shade the area right to the line and if the inequality is greater than, shade the area left to the line. Hence, y < x – 1 is represented by red area and y > x – 4 is represented by blue area. The overlapping shaded area contains the coordinates that represent the solution of the inequality system. The coordinate of a point in the solution set is (-1, 2).

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Answer: x = a/b - c

Step-by-step explanation:

First divide by b on each side to get the x by itself.

Then subtract c from both sides to make x the subject of the formula.

Step-by-step explanation:

a = bx + c

the goal is to get to a form with "x = ...".

a - c = bx

(a - c)/b = x

done.

Answer:

Step-by-step explanation:

a) (52 + 63)/250 = 0,46 = 46%

b) (63+77)/250 = 0,56 = 56%

c) 63/140= 0.45 =  45%

d) vegetarian that exercise: 52/110 = 47%

Compararison with not vegetarian:

63 : 140 = x : 110

50/110

So the answer is the first option

The Saint Hildegard of Bingen stood out in the Middle Ages for her great knowledge in different fields and her extensive written production.

Saint Hildegard of Bingen (1098-1179), was a German nun belonging to the Order of Saint Benedict who stood out for performing multiple functions, among which are:

Hildegard stood out for being one of the most influential personalities of the Late Middle Ages due to her remarkable intelligence and culture that led her to be one of the most productive writers of her time and to develop varied knowledge of natural history.

Much of her work (including her musical compositions) is found in her best known work called "Wiesbanden Codex" or "Riesencodex".

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Answer:

I took the Quiz and got 19,958,400 ways wrong from the previous answer the real answer is 496 ways

Step-by-step explanation:

The number of different ways that you can put 8 books on the shelf will be 495.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Then the combination is given as,

⇒ ⁿCₐ

Where n is total sample and a is the selected sample from n.

You have 12 books, and you want to put 8 on a shelf in your room.

Order does not matter to you.

Then the number of different ways that you can put 8 books on the shelf will be

⇒ ¹²C₈

⇒ 12! / [(12 – 8)! x 8!]

⇒ 12 x 11 x 10 x 9 x 8! / (4 x 3 x 2 x 1 x 8!)

⇒ 11 x 5 x 9

⇒ 495

Thus, the number of different ways that you can put 8 books on the shelf will be 495.

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Answer:

There were 65 stars on his cape.

Step-by-step explanation:

So, there are 87 neon stars in total, and we are using 1 star for his wand, so there are 86 stars left on his cape and hat. We'll label the hat as h.

The stars are 2 more then 3 times the stars on his cape, plus the stars on his hat, so the equation is:

4h+2=86

4h=84

h=21

21x3+2=65

Answer:

There were 65 stars on his cape.

Step-by-step explanation:

So, there are 87 neon stars in total, and we are using 1 star for his wand, so there are 86 stars left on his cape and hat. We'll label the hat as h.

The stars are 2 more then 3 times the stars on his cape, plus the stars on his hat, so the equation is:

4h+2=86

4h=84

h=21

21x3+2=65

this is your proper answer

hii, how are you

Answer:

15

Step-by-step explanation:

Answer:

m = 2

Step-by-step explanation:

Slope = rise / run or (y2 - y1) / ( x2 - x1)

Let's pick 2 points (0,0) (1,2)

We see the y increase by 2 and the x increase by 1, so the slope is

m = 2

Answer:

The equation for the volume of a sphere is [tex]\frac{4}{3}\pi r^{2}[/tex]. Substitute the variables with the given numbers to get [tex]\frac{4}{3}\pi 9^2[/tex]. Simplify the equation to get 3053.63.

3 quarts is equal to approximately 285 centilitres.

To Calculate this we have:

3 quarts is equal to 3 x 0.95 liters = 2.85 liters.

1 litre is equal to 100 centilitres, so 2.85 litres is equal to 2.85 x 100 = 285 centilitres.

Therefore, 3 quarts is equal to approximately 285 centilitres.

In detail, a quart is a unit of measurement in the Customary System Units and is defined as a quarter of a gallon. 1 quart is equal to 0.95 litres. To find out how many centilitres are in 3 quarts, we need to multiply the number of quarts (3) by the conversion factor (0.95 litres per quart). This gives us 2.85 litres. Since 1 litre is equal to 100 centilitres, we can multiply 2.85 litres by 100 to get 285 centilitres. Therefore, 3 quarts is equal to approximately 285 centilitres.

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Answer:

25.5

Step-by-step explanation:

first find the area od the rectangle than the triangle.

to find the area count the number of squares and use A=b*h

than do the same for the triangle using A=.5*b*h

15=3*5

10.5=.5*3*7

10.5+15=25.5

Answer:

0

Step-by-step explanation:

To ride a bike to school Torrin takes 15.75 min to ride to school and 3.54 km is the distance from his house to school.

Let  v₁ = 13.5 km/h the speed to school

v₂ = 10.5 km the speed returning home

t = the time of the ride to school in minutes

36 - t = the time of the ride from school in minutes

Since, distance = speed × time

⇒v₁ × t/60 = v₂ × (36 - t)/60

⇒13.5 × t/60 = 10.5 × (36 - t)/60

⇒t = 15.75 min

Now, the distance = v₁ × t/60 = 13.5 × 15.75/60 = 3.54 km.

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Answer:

X=9

Step-by-step explanation:

A circle adds up to 360°

63+89+73= 225

360-225= 135

Since 15x

135÷15=9

x=9

Answer:

15. -3 1/4

16. -4 1/2 OR -4 2/4

17. 1 1/4

18. -5 3/4

19. 1/2 OR 2/4

20. -2 1/2 OR -2 2/4

Step-by-step explanation:

Answer:

15) -3.25

16) -4.5

17)1.25

18)-5.75

19).5

20)-2.5

Answer:

$16

Step-by-step explanation:

12 = 3/4g

cross-multiply to get:

3g = 48

g = 48/3

g = 16

The easiest way to determine the mode of any data set, is to figure out which number appears most frequently, or most common.

You can take all of the numbers and count how many times each number appears. The number that appears the most is called the mode.

In the first pie chart (Group A), we can see that the orange piece is the biggest, therefore the most common. The orange piece has equal value to 4.

In the next group (Group B), we can determine the mode by looking at the highest bar, which would be 5.

4 is less than 5, which means that the answer to this question would be Group A.

The fraction which is equivalent to 4/6 is 8/12 as asked in the question.

2 x 4 = 8 and

3 x 4 = 12

Therefore, they satisfies the condition of an equivalent numbers.

Equivalent numbers are those which on reducing to it's lowest terms gives the same number.

Other example , 2/4 is equivalent number to 8/16 .

Equivalent fractions are those fractions which has different numerators and denominators but the same value when reduced to their lowest terms. For, example 2/4 and 3/6 are comparable fractions because they both equal 12.

A fraction is a portion of a number written in terms of numerator and denominator. Equivalent fractions represent the same percentage of the whole.

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Suzy randomly picks marbles from a bag containing 13 identical marbles. The possible outcomes of the given probability if she selects 9 marbles is:

259,459,200.

Randomness is commonly used to refer to an event's apparent or actual lack of pattern or predictability. Random events, symbols, or steps frequently occur in no particular order and do not adhere to any recognizable pattern or combination.

Germanic in origin, Randon is a name for boys. With a name that means "wolf shield," you can inspire baby Randon to embrace their sense of adventure. something or someone that is suspiciously out of the ordinary, unidentified, or unknown. a peculiar or erratic individual or thing. Something that is random lacks structure, direction, or intent. Like the random selection of lottery numbers or unplanned random events, it occurs entirely by chance.

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Answer:

the answer is 25 according to Khan

Step-by-step explanation:

The smallest positive integer that is both multiple of 4 and 7 is 2

In mathematics, multiples are the results of multiplying an integer by a given number.

The given numbers for this problem are 4 and 7. The positive multiples of 4 and 7 will be listed and the first number that appeared in the both multiples s the smallest positive integer that is both a multiple of 7 and a multiple of 4.

The multiples of 4

4 8 12 16 20 24 28 32 36 .......

The multiples of 7:

7 14 21 28 35 42 49 56 63 70 77 84 91 98 .....

The smallest common multiple is 28

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Answer:

10

Step-by-step explanation:

no explanation just math-way

The steps for measuring the angle b is shown below, <b= 41.

If a triangle side is created, the outside angle that results is equal to the sum  of the two opposite internal angles.

If an equivalent angle is measured at each triangle vertex, the exterior angles always add up to 360 degrees.

Given:

exterior angle = 113

and, opposite interior angle =72

Using Exterior angle property we have

72 + b = 113

Subtract 72 from both side

72 + b -72 = 113 -72

b = 113- 72

b = 41

Hence, the measure of b is 41 degree.

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Answer:

Step-by-step explanation:

The area formula of a parallelogram is the same as the area formula of a rectangle, it is A=bh.

Given that area is 15 units, A = 15.

On the graph, we can see that base is 3 units. b = 3.

plug in the values into the formula,

[tex]15 = 3 * h\\h = 15 / 3 = 5[/tex]

Answer:

26. 16

27. 1

28. 49

29. 169

30. 256

Step-by-step explanation:

26. (b/2)² = (-8/2)² = 16

27. (b/2)² = (-2/2)² = 1

28. (b/2)² = (-14/2)² = 49

29. (b/2)² = (26/2)² = 169

30. (b/2)² = (-32/2)² = 256

The length and width of the rectangle will be 2 and 8x + 12

Area of rectangle = 16x + 24.

A rectangle is a four-sided geometric shape having opposite sides that are equal in length and four right angles. The length and width of the rectangle are its opposing sides.

A rectangle's area is found by multiplying its length and width together, so:

Area = length x width

Calculating the length and width of the rectangle -

Factoring out 2 from the equation -

Therefore -

2 (8x+12)

Since, the area is the length times width, thus -

2 x (8x+12)

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The largest side of the length is 26cm.

Now, According to the question:

Three consecutive even numbers can be expressed in terms of n. If n is an even number then,

(n -2), (n), (n + 2)

are three consecutive even numbers.

Therefore,

(n -2)+ (n)+ (n + 2) = 72cm.

We can simplify so...

3n + 2 - 2 = 72 cm.

3n + 0 = 72 cm.

3n = 72cm.

Divide both sides by 3 to solve for n

n = 24 cm.

24 is an even integer. Input 24 into the original equation.

(n -2)+ (n)+ (n + 2) = 72cm.

(24 - 2) + 24 + (24 + 2) = 72cm

22 + 24 + 26 = 72

72 = 72

Hence, The largest side of the length is 26cm.

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Answer:

1920 cubic centimeters

Step-by-step explanation:

FIGURE A:

8 * 10 * 14 = 1120

FIGURE B:

8 * 10 * 10 = 800

So 1120 + 800 = 1920 cubic centimeters!

dat da answer

Answer:

81 personas

Step-by-step explanation:

Lucía les cuenta una historia a 3 amigos a la hora 12.

Cada uno de ellos se comunica a 3 personas en los próximos 10 minutos.

a) Primeros 10 minutos

1 amigo = 3 personas = 10 minutos

3 amigos = x

Multiplicar cruzada

x = 3 × 3 personas = 9 personas

Por lo tanto, 9 personas han escuchado la historia en 10 minutos.

Si este trámite continúa, ¿cuántas personas han escuchado la noticia hasta las 12:30?

12: 30 - 12:00 = 30 minutos más

10

Por eso,

b) Segundos 10 minutos = 20 minutos

9 personas cada uno le dice a 3 personas en otros 10 minutos

1 persona = 3 personas

9 personas = x

Multiplicar cruzada

x = 9 × 3 personas

x = 27 personas

c) Los últimos 10 minutos = 30 minutos

1 persona = 3 personas

27 personas = x

Multiplicar cruzada

x = 27 × 3 personas

x = 81 personas

Por lo tanto, a los 30 minutos, 81 personas habrían escuchado la noticia a las 12:30