A field has width x and and length 2x+1 the area of the field is 600m^2 find the width and the length of the field

The equation that models the situation is 10t + 13s = 25

T-shirts cost $10​ and shorts cost $13​.

The shorts cost $13.

The total amount to be spend is $25.

let

t = number of T-shirt

s = number of shorts

The equation that models the possible combinations of T-shirt t, and shorts  s, is as follows:

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Hence,

10t + 13s = 25

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Together, Bob and John will need 10 hours to finish the computer program with the given rate of working.

We divide the change in y (output) by the change in x to determine the average rate of change (input).

The amount of work finished in a single day if a task takes x days to complete is equal to 1/x.

It is given that In 30 hours, Bob can write a computer program. John can write a computer program in half the time that Bob takes.

Bob's rate =  B

John 's rate = J

B × 30 = J × 15

Rate of Bob = 1/30 h

Rate of John = 1/15 h

Total time(1/30 + 1/15) = Computer Program

(1/30 + 1/15) = Computer Program/Total time

0.099 = Computer Program/Total time

So, total time = 1/0.099 = 10 hours/computer program

Therefore, Bob and John will finish the computer program in a total of 10 hours.

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The equation of the line of best fit for the points is y = -2x + 3

The distance between two points is referred to as a line. The standard equation of a line in slope-intercept form is expressed according to the equation

y = mx + b

where:

m is the slope

b is the intercept

Using the coordinate points (-1, 5) and. (5, -7)

Slope = -7-5/5-(-1)

Slope = -12/6

Slope = -2

Find the y-intercept

-7 = -2(5) + b

-7 = -10 + b

b. = 3

Determine the equation

y = mx + b

y = -2x + 3

This gives the required equation of line of best fit.

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The Probability that 2 or fewer will withdraw without completing the introductory statistics course is 0.4547  .

The Binomial  Distribution formula is

P(X=x) = C(n,x)*pˣ*qⁿ⁻ˣ

where ,

n is the number of trials

x is the number of times success occurs

p is the probability of success

q is the probability of failure .

In the given question ;

it is given that

students that are registered for the course = 20

so , n=20

Let x denote the number of students that withdraw without completing the course .

given that 14 % students  withdraw without completing the course ,

hence p = 14% = 0.14

So , q= 1-p = 1-0.14 = 0.86

the probability that 2 or fewer will withdraw from the course is denoted by P(X ≤ 2) and  is calculated using

the formula , P(X≤2)=P(X=0)+P(X=1)+P(X=2)        ...(i)

using Binomial Probability we get

P(X=x) = C(n,x)*pˣ*qⁿ⁻ˣ

P(X=0) = C(20,0)*(0.14)⁰*(0.86)²⁰⁻⁰

= C(20,0)*(0.14)⁰*(0.86)²⁰

= 1*1*(0.0489)

= 0.0489

So , P(X=0)=0.0489        ...(ii)

P(X=1) = C(20,1)*(0.14)¹*(0.86)¹⁹

= 20*0.14*0.0569

= 0.1593

So , P(X=1)=0.1593        ...(iii)

P(X=2) = C(20,2)*(0.14)²*(0.86)¹⁸

= 190*0.0196*0.0662

= 0.2465    

So , P(X=2)=0.2465        ...(iv)

Substituting the values of (ii) , (iii) and (iv) in (i) , we get

P(X≤2)=P(X=0)+P(X=1)+P(X=2)

P(X ≤ 2) = 0.0489 + 0.1593 + 0.2465

= 0.4547

Therefore , the Probability that 2 or fewer will withdraw without completing the introductory statistics course is 0.4547   .

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Answer:

0.0533

Step-by-step explanation:

first remove the decimal points, then add a zero to the end.

205*

260  0*5,0*0,0*2=0. 6*5=30, but you carry the 3, so its another 0.

6*0+3=3

6*2=12

2*5=10, but you carry the one, so it is 0. 2*0+1=1

2*2=4

1230

4100=

5330, but we moved 0.26 2 spaces forward, and we moved 0.205 3 spaces forward too. in total, that makes 6 spaces, so now we have to move it back. 533-1 space

53.3-2 spaces           5.33-3 spaces          0.533-4   0.0533-5 spaces

The lowest possible value for N  is 21.

The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm), lowest common multiple (lcm), or smallest common multiple of two numbers a and b in mathematics and number theory. The smallest number that can be divided by both numbers is the LCM of two numbers. Finding the lowest common denominator (LCD) of two or more fractions is a key application of LCM. It is crucial when combining, dividing, and contrasting two or more fractions.

Given Data

LCM of 700 and N

is  2²x3x5²x7²

700 and N = 2²x3x5²x7²

700 and N = 14700

N = [tex]\frac{14700}{700}[/tex]

N = 21

The lowest possible value for N  is 21.

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Answer:

I believe so but I'm nor 100% sure

The ratios 5:3 and 6:4 are not equivalent.

A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.

Equivalent ratios are those that are the same when compared. Two or more ratios can be compared to determine whether they are equal. For example, the ratios 1:2 and 2:4 are equal.

The given two ratios are 5:3 and 6:4. We can write them as 5/3 and 6/4

Let us apply subtraction, if we get 0 then these are equivalent.

6/4-5/3

The LCM of 4 and 3 is 12

=(18-20)/12

The value of 18-20 is -2

=-2/12

We have to divide 2 by 12 we get -1/6.

=-1/6 not equal to 0

Therefore, it can be concluded that the ratios 5:3 and 6:4 are not equivalent.

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Answer:

2 + 2 is 5

Step-by-step explanation:

everyone knows that

Answer:

Obviously its 22

Step-by-step explanation:

The expression two hundred and fifty six x^4 minus one thousand two hundred and ninety six y⁴ will be 16(4²x⁴ - 9²y⁴)

It should be noted that expressions simply means one or more number or variables that are used to represent a data or a particular information.

It should be noted that two hundred and fifty six x⁴ minus one thousand two hundred and ninety six y^4 will be expressed as:

256x⁴ - 1096y⁴

In this case, there's a common factor between 256 and 1096. This will give a result as:

= 16(16x⁴ - 81y⁴)

= 16(4²x⁴ - 9²y⁴)

= 16[(4x)² - (9y²)²][(4x²)² + (9y²)²]

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[tex]m = \frac{y - y1}{x2 - x1} \\ m = \frac{ - 7 - ( - 1)}{ - 8 - 1} \\ m = \frac{ - 7 + 1}{ - 9} \\ m = \frac{ - 6}{ - 9} \\ m = \frac{2}{3} [/tex]

I ALSO PROVIDED THE FORMULA TO USE.

HOPE THIS HELPS

Part (a)

A = {prime numbers between 10 and 16}

A = {11, 13}

B = {multiples of 3 between 10 and 16}

B = {12, 15}

A U B = union of set A with set B

A U B = {set of stuff from A or B or both}

A U B = {11, 12, 13, 15}

=================================================

Part (b)

I'm assuming that you meant to write [tex]A \cap B[/tex]

If so, then this is the set of values inside set A and set B at the same time.

Since there is no common overlap between the sets A and B, we say that the answer is the empty set. We write the empty set as a pair of curly braces with nothing inside. Not even zero is a member of the empty set.

[tex]A \cap B = \{ \ \}[/tex]

we could also write the empty set using the symbol [tex]\varnothing[/tex]

So,

[tex]A \cap B = \varnothing[/tex]

=================================================

Part (c)

Reason:

The weird looking E symbol in this context means "is inside" or "is part of"

In other words, a statement like [tex]11 \in B[/tex] translates to "11 is part of set B", which is a false statement. Recall that B = {12, 15}

If we said [tex]11 \in A[/tex], then it would be true since A = {11, 13} which shows 11 as one of the values of set A.

800 people in the cinema are eating popcorn by probability.

What does math probability mean?

Total people in cinema = 200

probability of choosing a person eating popcorn is = 0.25

people in the cinema are eating popcorn = 200/0.25

people in the cinema are eating popcorn     = 800

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The scale factor that Noah apply to Polygon P to create Polygon Q is 3

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Area of polygon Q = (6 unit * 9 units) - (3 units * 3 units) = 45 unit²

Area of polygon P * scale factor² = area of polygon Q

5 * scale² = 45

Scale factor = 3

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Answer:

Step-by-step explanation:

I hour = 60 minutes

So x hours = 24 minutes

to find x-->

Using the ratio method,

[tex]\frac{1}{60}[/tex] = [tex]\frac{x}{24}[/tex]

where x is the unknown number of hours we have to find.

After solving it, we get 60 * (x) = 24

we get x= 24/60

           x= 0.4 hours

Hence, 24 mins is 4/10 of an hour.

In the simplest form--> x= 2/5

After the sixteenth bounce, the basketball would be nearest which is 0.01 meters.

Height after dropping from a height = 3m

Bounce up rate = 75%

Height in first bounce = 2.25m (3 x 0.75)

Height in second bounce = 1.68m (2.25 x 0.75)

Height in third bounce = 1.26m (1.68 x 0.75)

Height in fourth bounce = 0.70m (0.94 x 0.75)

Height in fifth bounce = 0.525m (0.70 x 0.75)

Height in sixth bounce = 0.39m (0.52 x 0.75)

Height in seventh bounce = 0.29m (0.39 x 0.75)

Height in eighth bounce = 0.21m (0.29 x 0.75)

Height in ninth bounce = 0.15m (0.21 x 0.75)

Height in tenth bounce = 0.11m (0.15 x 0.75)

Height in eleventh bounce = 0.08m (0.11 x 0.75)

Height in twelfth bounce = 0.06m (0.08 x 0.75)

Height in thirteenth bounce = 0.04m (0.06 x 0.75)

Height in fourteenth bounce = 0.03m (0.04 x 0.75)

Height in fifteenth bounce = 0.02m (0.03 x 0.75)

Height in sixteenth bounce = 0.01m (0.02 x 0.75)... so on

After the sixteenth bounce, the basketball would be nearest.

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Answer:

8 dollars

Step-by-step explanation:

The quotient [8a squared b]/[2ab squared] is simplified to 16/b

Algebraic expressions are simply known as arithmetic expressions which are made up of constants, variables, terms, factors and coefficients.

They are also made up of certain operations, arithmetic, mathematical which includes;

Given the expression;

[8a squared b] = x

[2ab squared] = y

Take the quotient of the values

(8a)²b/(2ab)²

Expand the bracket

64a²b/4a²b²

Now, divide the common terms, we have

16/b

Hence, the value is 16/b

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answer; 6^8

explanations;

power rule for exponent; 2 x 4 = 8

Answer:total cost= 20x+50 x= number of hours

Step-by-step explanation: Gooooooooooooogle

The volume of the box is 287 and the height of the box is 3

The figure that completes the question is added as an attachment

On the figure, we have

So, the base area is

Base area = Number of squares x Length of square^2

The volume becomes

Volume = Height x Base area

This gives

Volume = Height x Number of squares x Length of square^2

Substitute the known values in the above equation

Volume = 7 x 41 x 1^2

Evaluate

Volume = 287

The base area is

Base area = Number of squares x Length of square^2

The volume becomes

Volume = Height x Base area

This gives

Volume = Height x Number of squares x Length of square^2

Substitute the known values in the above equation

123 = Height  x 41 x 1^2

Evaluate

123 = Height  x 41

Divide by 41

Height  = 3

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New coordinate systems on the plane are frequently defined via coordinate transformations. The transformation's curves are representations of horizontal lines with the form v - constant and vertical lines with the form u - constant, respectively.

Answer the below figure

1. Reflect across y-axis

2.<4,5>  

Answer:

B'''(6, -15), C'''(-3, -12) (-3, -12)

Detailed explanation:

Point B concerns

As for point C,

In order to reflect a point across the x-axis, keep the x coordinate

constant while changing the y coordinate to its opposite.

<1, -3> the following translations: Add 1 to x, take 3 away from y.

Add 3 to both x and y to dilate k=3.

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The probability of getting the same number is 1/6.

The ratio of good outcomes to all possible outcomes of an event is known as the probability.

utilizing two ethical six-sided dice.

The likelihood that the dice will produce the same number must be determined.

36 total outcomes were obtained.

The positive results are (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6).

6 good outcomes total.

Therefore, the likelihood of an event is equal to the ratio of good outcomes to all possible outcomes.

Changing the values

Event probability is 6/36, or 1/6.

As a result, there is a 1/6 chance that both dice will reveal the same number.

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The relative maximum point is point D.

The relative maximum point is determined by the slope.

Here the slope is represented by tan theta.

If we draw a tangent at every point of the curve then we observe that A has a positive curse and point D has a increasing curve which is almost equal to 90° and tan 90 is 1.  Point B and C however have a steady curve and tan 0 is 0.

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After dilation, the length of line segment A'B' is 6 units.

So, the length of line segment AB:

After dilation:

Therefore, after dilation, the length of line segment A'B' is 6 units.

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Answer:

Quadrant I

Step-by-step explanation:

Time and height must both be positive.

Answer:

(1-5420)

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417, 5419

Step-by-step explanation:

Answer:

.............. ................

Answer:

y=1.75 that’s the unit or you can say the constant so I can do 1.75+1.75 and I would get 3.50

Step-by-step explanation: