What are the next two numbers in the pattern of numbers 45,15,44,17,40,20,31,25

Answer:

32

Step-by-step explanation:

Step 1:

24 : 45 = x : 60

Step 2:

45x = 1440

Answer:

x = 32

Hope This Helps :)

The number of the cabinet doors machine will paint is 32.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that machine can paint 24 cabinet doors in 45 minutes. The number of cabinets painted in 1 hour will be calculated as below:-

24 : 45 = x : 60

45x = 1440

x = 32

Therefore, the number of the cabinet doors machine will paint is 32.

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Answer:

n = 112/13 = 8.615

Step-by-step explanation:

(3/8) n + 5n - 30 = (17/8)n - 2

(3/8)n +5n - (17/8)n = 30-2

(13/4)n = 28

n = 28 * 4/13

n = 112/13

n = 8.615

Answer: d.12

Step-by-step explanation:

Answer:

9 pints would equal 144 ounces

Step-by-step explanation:

Pints

The US liquid pint is a unit of fluid volume equal to one-eighth of a gallon, one-half of a quart, or two cups. The liquid pint should not be confused with the dry pint (US) or the imperial pint, which are different units.

The pint is a US customary unit of volume. Pints can be abbreviated as pt; for example, 1 pint can be written as 1 pt.

Fluid Ounces

The US fluid ounce is a unit of volume equal to 1/16 of a pint or 1/8 of a cup. The fluid ounce is sometimes referred to as an "ounce" but should not be confused with the unit of mass. One fluid ounce is equal to just under 29.6 milliliters, but in nutrition labeling, one fluid ounce is rounded to exactly 30 milliliters.[1]

The fluid ounce is a US customary unit of volume. Fluid ounces can be abbreviated as fl oz, and are also sometimes abbreviated as fl. oz. or oz. fl.. For example, 1 fluid ounce can be written as 1 fl oz, 1 fl. oz., or 1 oz. fl..

Pint to Fluid Ounce Conversion Table

Pint measurements converted to fluid ounces

Pints Fluid Ounces

1 pt 16 fl oz

2 pt 32 fl oz

3 pt 48 fl oz

4 pt 64 fl oz

5 pt 80 fl oz

6 pt 96 fl oz

7 pt 112 fl oz

8 pt 128 fl oz

9 pt 144 fl oz

10 pt 160 fl oz

11 pt 176 fl oz

12 pt 192 fl oz

13 pt 208 fl oz

14 pt 224 fl oz

15 pt 240 fl oz

16 pt 256 fl oz

17 pt 272 fl oz

18 pt 288 fl oz

19 pt 304 fl oz

20 pt 320 fl oz

21 pt 336 fl oz

22 pt 352 fl oz

23 pt 368 fl oz

24 pt 384 fl oz

25 pt 400 fl oz

26 pt 416 fl oz

27 pt 432 fl oz

28 pt 448 fl oz

29 pt 464 fl oz

30 pt 480 fl oz

31 pt 496 fl oz

32 pt 512 fl oz

33 pt 528 fl oz

34 pt 544 fl oz

35 pt 560 fl oz

36 pt 576 fl oz

37 pt 592 fl oz

38 pt 608 fl oz

39 pt 624 fl oz

40 pt 640 fl oz

Please don't report this. :(

Step-by-step explanation:

\(\tt{}4 \frac{2}{5} + k = - 3 \frac{2}{11} \)

\(\tt{} \frac{22}{5} + k = - \frac{35}{11} \)

\(\tt{}k = \frac{35}{11} - \frac{22}{5} \)

\(\tt{}k = - \frac{417}{55} \)

\(\tt{}k = - 7 \frac{32}{55} \)

Answer:

Step-by-step explanation:

kk g jj k easy a answer

Answer:

p=60 and k=120

Step-by-step explanation:

So, with supplementary angles, there is a max of 180 degrees (because it is half of a circle.) With this information, we can make an equation. Let's make it.

If the measure of k is twice of p, then k=2p

Equation= 2p+p=180

Now let's isolate p and find out what it is!

2p+p=3p so...

3p=180

Now let's divide 3 on both sides.

That would equal...

p=60

That means p=60 for sure. However, since k is twice of p, we need to double p to find out what k is.

60 x 2=120

Final answer= p=60      k=120

Hope this helped!! If you have any questions, make sure to write them in the comments!

Answer:

k = 120

p = 60

Step-by-step explanation:

k = p2

p+p2 = 180

p3 = 180

p3/3 180/3

p = 60

k = 60 × 2

k = 120

Answer:

Step-by-step explanation:

uhh

Answer:

77 F

Step-by-step explanation:

F = (1.8)*25 + 32

  = 45+32

  = 77

Hope this helps!

Answer:

77 degrees Fahrenheit

Step-by-step explanation:

plug 25 into 'C' in the formula

F = 1.8(25) + 32

The value of x in this problem, considering the intersecting chords, is given as follows:

x = 10.

A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.

When two chords intersect each other, then the products of the measures of the segments of the chords are equal.

Hence the value of x is obtained as follows:

12x = 15 x 8

12x = 120

x = 10.

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Answer: 6

Step-by-step explanation: To solve we first start by adding like terms in our equation which is 30 + 54 = x(5+9) which becomes 84=x(14). Now we need to isolate the x variable by dividing both sides by 14.

x(14) ÷ 14 = x, 84 ÷ 14 = 6

This leaves us with the answer x = 6

Answer: The length of the prism is 8 yards

Step-by-step explanation:

First, take the volume of the prism, divide it by the width (2 1/2). Once you get that divide that answer by height (5 3/4) getting you the length of the prism (8 yards)

The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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The baby is 105.6  ounces or 6.96 pounds lighter than an average baby.

Weight is the measurement of Gravitational force on an object. It can be zero as in the space.

We are given in the question that A baby weighed only 14.4 ounces at birth the weight of an average baby is 7lb 8 ounces.

1 lb = 16 ounce

Therefore an average baby weight = 7 x 16 + 8 = 120 ounces

The baby weight is just 14.4 ounces

Hence, the baby is 120 - 14.4 = 105.6 ounces lighter than an average baby.

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Answer:

AOB= 20˚

COD=  5˚

BOC=  55˚

AOD=  80˚

Explanation:

To find the missing value of BOC, add the rest of the given values and subtract the sum by 90˚, since it is given that angle AOE is a right angle.

Answer:

i) - 20

ii) - 5

iii) - 55

iv) - 80

Step-by-step explanation:

Ok so all of these angles combined equals 90 since we can see that little right angle symbol down there.

i and ii are both given to us

i = 20

ii = 5

However, iii is an angle not given to us but don't worry we can solve it easily.

So we know that all the angles added up together equals 90, so let's visualize this:

20 + 5 + 10 + BOC =90

35 + BOC =90

BOC = 55

Soooo iii is 55

iv is asking us to find angle AOD and to find that we need to add angles AOB, BOC, and COD

AOB + BOC +COD

20 + 55 + 5

75 + 5

80

aaaaand now we know iv is 80

Answer:

the total new area is 2800 ft²

Step-by-step explanation:

original area: 1600 ft²

new expanded area: 1600 ft² + 75% of 1600 ft²

new expanded area = 1600 ft² + 0.75 × 1600 ft²

new expanded area = 1600 ft² + 1200 ft²

total new area = 2800 ft²

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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Answer:

Step-by-step explanation:

To classify the quadrilateral formed by the given points, we need to find the length of each side and the measure of each angle.

Using the distance formula, we can find the length of each side:

AB = sqrt((4 - (-3))^2 + (2 - 1)^2) = sqrt(49 + 1) = sqrt(50)

BC = sqrt((9 - 4)^2 + (-3 - 2)^2) = sqrt(25 + 25) = 5sqrt(2)

CD = sqrt((2 - 9)^2 + (-4 - (-3))^2) = sqrt(49 + 1) = sqrt(50)

DA = sqrt((-3 - 2)^2 + (1 - (-4))^2) = sqrt(25 + 25) = 5

Using the slope formula, we can find the measure of each angle:

Angle ABC: m1 = (2 - 1)/(4 - (-3)) = 1/7

m2 = (-3 - 2)/(9 - 4) = -1/5

tan(ABC) = |(m2 - m1)/(1 + m1m2)| = 3/4

ABC = arctan(3/4) ≈ 36.87°

Angle BCD: m1 = (-3 - 2)/(9 - 4) = -1/5

m2 = (-4 - (-3))/(2 - 9) = 1/7

tan(BCD) = |(m2 - m1)/(1 + m1m2)| = 3/4

BCD = arctan(3/4) ≈ 36.87°

Angle CDA: m1 = (-4 - 1)/(2 - (-3)) = -1

m2 = (1 - (-3))/(-3 - 9) = 1/2

tan(CDA) = |(m2 - m1)/(1 + m1m2)| = 7/5

CDA = arctan(7/5) ≈ 54.46°

Angle DAB: m1 = (1 - (-4))/(4 - (-3)) = 5/7

m2 = (-4 - (-3))/(-3 - 2) = 1/5

tan(DAB) = |(m2 - m1)/(1 + m1m2)| = 3/4

DAB = arctan(3/4) ≈ 36.87°

Therefore, the quadrilateral formed by the given points is a kite, because adjacent sides are congruent and one diagonal bisects the other diagonal at a right angle.

The equation of the line that passes through (4, 3) and (-4, -1) is y = -x/2 + 5. So, correct option is A.

To find the equation of the line that passes through two given points, we use the slope-intercept form of a linear equation, which is:

y = mx + b

where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line using the two given points. The formula for finding slope between two points is:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Substituting the given points into the formula, we get:

m = (-1 - 3) / (-4 - 4) = -4/8 = -1/2

Now we know the slope, we can use one of the given points (4, 3) and substitute the slope into the slope-intercept form of the equation and solve for b.

y = mx + b

3 = (-1/2)(4) + b

3 = -2 + b

b = 5

Therefore, the equation of the line that passes through (4, 3) and (-4, -1) is:

y = -x/2 + 5

So, correct option is A.

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Complete question is:

What is the equation of the line that passes through (4, 3) and (-4, -1)?

Choices:

y = -x/2 + 5

y=2x+7

y=x/2 +1

y= -x/2 +7

Answer: 782.05 miles.

Step-by-step explanation: Percentage is a ratio expressed as fraction of 100, in other words, 61% is represented as \(\frac{61}{100}\) or 0.61.

London slept 61% of the journey, so it means he was awake for 39% of the journey. Now the total trip is \(\frac{100}{100}\) or 1, so the relationship will be

0.39 ---- 305 miles

   1   ----- x

\(x=\frac{305}{0.39}\)

x = 782.05

The total length of the trip was 782.05 miles.

Answer: 500

Step-by-step explanation:

Answer:

$48

Step-by-step explanation:

you would first need to find what the cost of 1 book is so

16 divided by 4 is 4

so 1 book is $4

then you would need multiply the cost of one book by 12

so 4 times 12 is 48

so the cost would be $48

Answer:

192

Step-by-step explanation:

times

Answer:

B. (b x d) - c

Step-by-step explanation:

i. -(a x d) + b

= -(6 x \(\frac{1}{2}\)) + 8

= -3 + 8

= 5

ii. (b x d) - c

(8 x \(\frac{1}{2}\)) - 4

= 4 - 4

= 0

iii. 2(b x f) + a

= 2(8 x \(\frac{1}{4}\)) + 6

= 4 + 6

= 10

iv. (a x e) - c

= (6 x \(\frac{1}{3}\)) - 4

= 2 - 4

= -2

Thus, the expression which is equivalent to 0 is that of option B.

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

Answer:

x=8

Step-by-step explanation:

80+10x=20x

    -10x  -10x

      80=10x

      80/10=x

          8=x

Answer:

option 4 and option 3 are the answers respectively

Answer:

\( \sqrt{ {2}^{3} } \\ \sqrt{3} \\ .............\)

Step-by-step explanation:

Using the rule of  P E D M A S  :

=3 + (4)  x (-9)

 = 3 - 36 = -33

Answer:

The answer would be 44

Step-by-step explanation:

First, you have to simplify the improper fraction, that would make the it a mixed number which would be 3 2/3. When 3 2/3 is multiplied by 12 is 44. Hope this helps!