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Answer:

find the three postive consecutive integers such that the product of the smallest and the largest is 17 more than 3 times the median intger

Answer: 5, 6, 7

Step-by-step explanation:

Let three positive consecutive integers equal to x, x+1, x+2

Hence,

[tex]\displaystyle\\x(x+2)-3(x+1)=17\\x^2+2x-3x-3=17\\x^2-x-3-17=17-17\\x^2-x-20=0\\x^2-5x+4x-20=0\\x(x-5)+4(x-5)=0\\(x-5)(x+4)=0\\x-5=0\\x-5+5=0+5\\x=5\in\ (x > 0)\\x+4=0\\x+4-4=0-4\\x=-4\notin\ (x > 0)\\5+1=6\\5+2=7[/tex]

The largest angle of the given triangle is 105 degrees. If its measure of other two angles are (6x +17) degrees and (5x + 14)  degrees.

According to the given question.

We have, the measure of the angles  of a triangle are 105 degrees,

(6x +17) degrees, (5x + 14) degrees.

As we know that the sum of the angles of a triangle is always 180 degrees.

Therefore, we can say that

105 + (6x +17) + (5x + 14)  = 180

⇒ 105 + 6x + 17 + 5x + 14 = 180

⇒ 136 + 11x = 180                   (adding the like terms)

⇒ 11x = 180 -136

⇒ 11x = 44

⇒ x = 44/11

⇒ x = 4 degrees.

So,  (6x +17) degrees = 6(4) + 17 = 24 + 17 = 41 degrees

and,  (5x + 14)  degrees = 5(4) + 14 = 20 + 14 = 34 degrees

Hence, the largest angle of the given triangle is 105 degrees. If its measure of other two angles are (6x +17) degrees and (5x + 14)  degrees.

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It is found that Margo are going to be using sampling.

• sampling in statistics may be a a part of the sampling technique within which each sample has an equal probability of being chosen. In other words, a sample chosen randomly is an unbiased representation of the entire population.

Sample strategies is also classified as :

1) Convenient: The sample that is taken from a pool that is readily accessible.

2) Random : When all options are into a hat and draw a number of team

3) Systematic : Every kth element

4) Cluster : once we divide population into groups called clusters, and every element of cluster is surveyed.

5) Stratified : In stratified also divides the population into groups, However just some of the weather of the group are surveyed. per the question Marbles are taken from the bag, and after they're taken they're again placed back within the bag so it depicts sampling.

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Answer:

y=2

Step-by-step explanation:

6 times y and six times 3

6y+18=30

    -18  -18

6y=12

divide both sides by 6 and you will get y=2

Answer:

I believe the answer is (50 x 9) + (7 × 9)

You have to expand 57 which is 50 + 7 and multiply each by 9. Hope it helps!!

Answer: 0.51639777..

Step-by-step explanation:

Both statements can be included in the exact numbers category.

Maple provides two kinds of numbers: exact and inexact. If you do arithmetic with exact numbers (and they aren't too large) the answer that you get back is exactly right. If you do arithmetic with inexact numbers (and they aren't too large or too small) the answer may have a small amount of roundoff error. Although we'll treat this distinction at length in future lessons, it is convenient to take a preliminary look right now.

consider the four bicycles in the family have been ridden for a total of 250 mi.

The above statement can be categorized into exact numbers as 4 and 250 are countable.

Now, consider a child fell and had a 4-cm laceration that required 12 stitches.

The above statement can be categorized into exact as the numbers 4 and 12 are countable.

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Using translation concepts, we have that:

4. The type is f(x + k), with k = 3, and a horizontal shift.

5. The type is kf(x), with k = 5 and a vertical stretch.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For graph 4, we have function g(x) is a shift left of 3 units of function f(x), hence:

The type is f(x + k), with k = 3, and a horizontal shift.

For graph 5, we have that for each value of x, g(x) = 5f(x), hence:

The type is kf(x), with k = 5 and a vertical stretch.

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Answer:

[tex]5x^2y^5z[/tex]

Step-by-step explanation:

Hello!

Expand the cube root:

Use exponent rule:

The answer is [tex]5x^2y^5z[/tex].

Answer:

length is 9 and width is 6

Step-by-step explanation:

List the factors of 54 and choose the numbers that only have a difference of 3. In this case it is 6 and 9, then put them in the order they go based on the instructions.

Answer:

14 is an obtuse angle

Step-by-step explanation:

An obtuse angle is an angle that is bigger than 90° degrees but doesn’t reach a straight line at 180°.

Drug A is more effective since mean time of effects of Drug A>mean time of effects of Drug B.

Each sample has an equal chance of being picked as part of the sampling procedure known as random sampling. A randomly selected sample is intended to provide a fair reflection of the entire population. Sampling mistake occurs when, for any reason, the sample does not accurately reflect the population.

One of the most straightforward methods for gathering information from the whole population is random sampling. Each member of the subset has an equal chance of being picked as part of the sample process when using random sampling.

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Answer:

E, B, 2 = (2x + 6)

Step-by-step explanation:

I think those are correct.

The algebraic expression that is equivalent to (4x + 12) + 9x is:  C. (4x + 9x) + 12.

Algebraic expressions are equivalent to each other if they have he same value when simplified or evaluated.

Given the expression, (4x + 12) + 9x, we have:

4x + 12 + 9x

Add like terms

13x + 12

Also, simplifying (4x + 9x) + 12, we give us the following:

4x + 9x + 12

13x + 12

Therefore, the algebraic expression that is equivalent to (4x + 12) + 9x is:  C. (4x + 9x) + 12.

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Answer:

e) 4¢

f) cents

g) Cents 102.9 convert to Dollars 1.029

h) Cents 98.9 convert to Dollars 0.989

i) $56.60

j) $54.40

Step-by-step explanation:

e) is correct. The discount is 4¢ per litre
f) It should be cents, not dollars

g) Without a voucher, the cost of fuel is 102.9¢ = $102.9/100= $1.029

h) Since the discount is 4¢ per litre, the price of fuel comes down froom 102.9 - 4 = 98.9¢ = 98.9/100 $ = $0.989

i) 55L at undiscounted price = 55 x $1.029 = $56.595 rounded up to $56.60

j) With a voucher, there is a discounted price of $0.989 per litre. So for 55L, discounted price with voucher = 55 x 0.989 = $54.395 = $54.40 rounded to the nearest cent

Answer:

330

Step-by-step explanation:

15 crates × 22 books each = 330 books

Therefore, the librarian has 330 books to sort.

Answer:

7.83 is the answer of ur question

The probability of rolling an odd number and then rolling a 2 is 1/12.

Option C is true.

What is Probability?

Probability is measure of the likelihood of an event to occur.

Given that;

A six - sided dice is rolled twice.

The sides are labelled 1-6.

Now,

In a dice odd number are 1, 3, 5

Hence, The probability of rolling an odd number = 3/6

And, The probability of rolling a 2 = 1/6

So, The probability of rolling an odd number and then rolling a 2

= 3/6 x 1/6

= 1/12

Hence, The probability of rolling an odd number and then rolling a 2 is 1/12.

Option C is true.

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Answer:

please solve this question 4²×3³×(-1)¹²²

The dimensions of the kitchen are 11m × 8m.

In geometrical mathematics, a polygon with four sides is referred to as a quadrilateral, while a quadrilateral with two opposed, parallel, and equal sides is referred to as a rectangle.

A rectangle has four equal-sized angles. There are four angles in a rectangle.

A rectangle has 90° angles on all sides.

The rectangle's diagonal is the separation or length of a line segment that connects any two opposed vertices.

Let l and w represent the length and breadth of the rectangular kitchen, respectively.

we know that area of a rectangle = length × width

perimeter of a rectangle = 2(l ₊ b)

Given that the rectangular kitchen has an area of 88 m².

A = 88 m²

l × w = 88 m² ....eq(1)

The perimeter of the rectangle is 38 m.

Perimeter (P) = 38 m

2(l+w) = 38 m

l+w = 19 m

l = 19 - w .....eq(2)

substitute eq(2) in eq(1).

l × w = 88 m²

(19 - w)w = 88

19w - w² = 88

-w²+19w-88 = 0

w²-19w+88 = 0

By factorization method, we get:

w²-11w-8w+88 = 0

w(w-11)-8(w-11) = 0

(w-11)(w-8)

w = 11 or w = 8

If w = 11,

then l = 19-11 = 8m

and If w = 8m

then, l =  19-8 = 11m

so the dimensions are 11m×8m

Hence we get the dimensions of the kitchen are: 11m×8m

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Answer:

a function is a rule or correspondence by which each element x is associated with a unique element y.

hope this was helpful!

Answer:

128,000

Step-by-step explanation:

➟ 8000(1+i)8

➟ (8000 + 8000i)8

➟ 64000 + 64000 = I

➟ I = 128000

The density in ounces per liter is 3.57826 rounding off = 3.58

Density of a substance can be defined as a relationship between the mass and the volume of that substance.

[tex]Density=\frac{Mass}{Volume}[/tex]

For Example if a metal have a mass 0f 7gm and volume as [tex]5cm^{3}[/tex]

[tex]Density=\frac{7}{5} = 1.4g/cm^{3}[/tex]

we know that 1 gram/fluid ounce of volume = 1.19275 ounces/liter

1 gm/fluid ounce =1.19275 ounces/liter

3 gm/fluid ounce = 3*1.19275 ounces/liter

So 3 gm/fluid ounce = 3.57826 ounces/liter

On rounding it to nearest hundredth we get 3.58 ounces/liter

Therefore the density of the material which weighs 3 gm/fluid ounce in ounces/liter is 3.58.

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Answer: 30% blue, 50%red, and 20%yellow

Step-by-step explanation:

By dividing the amount of white sugar by brown sugar we get, 2 2/3. The quotient is 2.

A fraction is a numerical quantity that is not a whole number. In other words, fraction can be defined as a small or tiny part, amount, or proportion of something.

A fraction represented with its quotient and remainder is a mixed fraction.  In other words, a mixed fraction is a combination of a whole number and a proper fraction.

Amount of white sugar  ÷ Amount of brown sugar

2/3 ÷ 1/4

2/3 × 4/1

8/3

2 2/3.

Here quotient is 2 and 2 is the remainder.

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