In 2011 the marathon had 29967 men and 16,928 Women how many Men T Shirts and how many women t shirts were given

If by eating 2 eggs and 1​ cupcake, a child consumes 571 mg of cholesterol. The amount of cholesterol that is in each​ item are; 19 mg, 276mg, 8 mg.

E + C + P = 303

Where:

Egg=E

Cupcake=C

Pizza=P

Hence,

3C + 4P =89

4P = 89-3C

P = (89-3C)/4

2E + C = 571

2E = 571-C

E = (571-C)/2

(571-C)/2 + C + (89-3C)/4 = 303

(571-C)2 + 4C + 89-3C = 303×4

(571-C)2 + 4C + 89-3C = 1212

1142 -2C + 4C + 89-3C = 1212

-C = 1212-89-1142

C =19mg (1 cupcake)

E = (571-C)/2

E= (571-19)/2

E=552/2

E= 276mg  (1 egg)

P = (89-3C)/4

P = (89-3(19))/4

P = (89-57)/4

P=32/4

P=8 mg (1 pizza)

So,

Egg=E=19 mg

Cupcake=C=276 mg

Pizza=P=8 mg

Check:

19+276 + 8 = 303 mg

Therefore If by eating 2 eggs and 1​ cupcake, a child consumes 571 mg of cholesterol. The amount of cholesterol that is in each​ item are; 19 mg, 276mg, 8 mg.

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The quotient compares to the value of the original two integers as it's a positive number.

The result of dividing two numbers is a quotient; the divided number is referred to as the dividend, and the number by which it is divided is referred to as the divisor.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers.

From the information, the quotient of two negative integers results in an integer.

Fur example, -4 divided by -2 will give a value of 2. Therefore, the quotient of the negative numbers is a positive number.

Therefore, the quotient compares to the value of the original two integers as it's a positive number.

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Function g (x) horizontal shift left with 5 units.

What is Transformation?

The act or process of changing completely is called transformation.

Given that;

The parent function is;

f (x) = |x|

and , After transformed the function is g(x) = |x + 5|

Now, Compare the function to the parent function we get;

The transformation occur from f (x) = |x| to g (x) = |x + 5|.

Function g (x) = |x + 5| horizontal shift left with 5 units.

So, Function g (x) horizontal shift left with 5 units.

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The value of the t in the linear equation is 10 approximately.

According to the statement

We have to find that the value of the t.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

The equations are:

h(t) = 0.5t + 8.

h(t) = −4.9(t − 5) + 38.

Then

= 0.5t + 8

= −4.9(t − 5) + 38.

And

= 0.5t + 8

= −4.9t + 24.5 + 38.

And

= 0.5t + 8

= −4.9t + 62.5

Now,

Subtact the equations then

= 0.5t + 8 - (−4.9t + 62.5)

= 0.5t + 8 + 4.9t - 62.5

= 0.5t + 4.9t - 62.5+8

=  5.4t -54.5

Then

5.4t = 54.5

t = 54.5/5.4

t = 10.092.

So, The value of the t in the linear equation is 10 approximately.

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Answer:

Step-by-step explanation:

a(i)  q = 2p + (1/2)

(ii)  v = (1/10)u

(iii)  t = 15d

(iv)  m = 0.75d - 2

2p is added by the same constant so it's not proportional

5x + 13y is prime ,  it cannot be factored.

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial .

Some trinomials cannot be factored. If none of the pairs total b, then the trinomial cannot be factored.

Given equation is 5x + 13y

If a polynomial is prime, then it cannot be factored. 5x + 13y is prime.

In this regard,

The law of detachment states that

1) If p happens, then q happens;

2) p is true;

Then, a there is a third statement that is

3) q is also true.

In this question,

If a polynomial is prime, then it cannot be factored.

The statements in the question can be represented as:

(1) If 5x + 3y is a polynomial and is prime then it cannot be factored

(2) It cannot be factored

Using the above representations of p and q, as an illustration; the third statement would be:

(3) 5x + 3y is a polynomial and is prime then we can conclude that

5x + 13y cannot be factored.

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The average time taken by workers to complete the repairing of the road is about the 4 and half weeks.

According to the statement

We have to find that the Time taken by the workers.

So, For this purpose, we know that the

Average time is a measurement that evaluates how long a works spends on repairing roads.

From the given information:

A 13 km stretch of road needs repairs. Workers can repair 3 km of road per week.

Then

If worker complete 3 km of the road in the 7 days

Then

Workers complete 13 km in the days = Total distance / Average distance

Then

Workers complete 13 km in the days = 13 / 3

Workers complete 13 km in the days = 4.33 weeks.

So, The average time taken by workers to complete the repairing of the road is about the 4 and half weeks.

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Answer:5.05y

Step-by-step explanation:

Therefore, the expanded form of the expression y (0.5 + 8) is 0.5y + 8y

Using this example we can find out that 0.5y+5 y=5.05 y thats the answer

please kindly give me brainiest thank you

The total number of servings is equal to the product of 5, 4 and 3. Thus, the required number of servings is 60.

A product is something that has undergone one or more multiplications. For instance, the mathematical formula "times equals" would be written with the terms "times," "multiplicand," and "product," respectively.

A number can be multiplied by another number to determine each of its products. For instance, 9 x 3 equals 27, so 27 is a product of 9 and 3. Each number has an infinite number of possible products because it can be multiplied by an infinite number of different numbers to produce an infinite number of results. When considering how to find the product of a number, there are some simple facts to understand. For instance, any whole number multiplied by two will always result in an even number.

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these are the only ones i can find

26 37 40 48

Answer:

When dividing fractions we "invert and multiply".

First, we should change 2 (5/16) to 37/16.

So, 37 / 16 divided by 7 / 8 equals

37 / 16 times 8 / 7

which equals 296 / 112 = 37 / 14 which equals

2 (9/14)

Step-by-step explanation:

The x-intercepts and y-intercepts (9,0) and (0,7) respectively.

In geometry, a line draw in between the coordinate axes by using the intercepts. The intercepts are the intersecting points of the points of the line with coordinate axes. The intersecting point of the line with x - axis is called the x - intercept (a,0). Here a is the intercept length.

Similarly,  The intersecting point of the line with y - axis is called the y - intercept (0,b). Here b is the intercept length.

Now,

The x-intercept (a) = 9

So, the x - intercept point is  (9,0)

and

The y - intercept (b) = 7

So, the y - intercept point is (0,7)

Now, the graph of the line :

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Charlie 50 miles per hour

Violet 60 miles per hour

It is given that the distance between Memphis and New Orleans is 395 miles. This means, the total distance both covered = 395 miles

Charlie drove for 5.5 hours and Violet drove for 2 hours. Let the speed of Charlie be x miles per hour. Since, the speed of Violet was 10 miles per hour faster than Charlies, the speed of charlie was (x + 10) miles per hour

Since, distance = speed × time

Distance covered by Charlie = 5.5x

Distance covered by Violet = 2(x + 10)

Altogether they covered 395 miles,

So,

395 = Distance covered by Charlie + Distance covered by Violet

395 = 5.5x + 2(x + 10)

395 = 5.5x + 2x + 20

375 = 7.5x

x = 375/7.5

x = 50 mph

Since, x represents the speed of Charlie, the speed of charlie was 50 miles per hour and speed of Violet =

Speed of Charlie +10

50+10 =60

speed of Violet =60mph

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One has to invest $50000 in A and $25000 in B

Let x represent the investment in A and y represent the investment in B.

Total investment is $75,000 ( given )

hence x + y=$75,000 (from the above information)

x + y= 75,000     (equation 1)

Interest rate in A is 4.5 % and Interest rate in B is 3 %

now, 4% of $75000 = $3000

4.5x/100 + 3y/100 = $3000

= 4.5x+3y=300000  ( equation 2 )

Multiplying 3 to equation 1

which equals to 3x + 3y= 225000   ( equation 3 )

Solving equations:  equation 2 & equation 3

4.5x+3y=300000   ( equation 2 )

3x + 3y= 225000   ( equation 3 )

(-)    (-)   = (-)

1.5x  = 75000

x= 50000

substituting x= 50000 in equation 1 (x + y= 75,000)

50000 + y= 75,000

⇒y =75000-50000

⇒y=25000

Hence, Check can be done by multiplying the interest rates with the respective answer and summing them to get $3000

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Answer:

I believe  D is the answer to the question above.

Step-by-step explanation:

Answer: pretty sure its D

Step-by-step explanation:

The probability of getting a green gum ball is 0.35 (35/101)

Probability is the measure of chance that some event would happen.

Probability that an event will occur = (No of favorable possibilities of the event) / (total possible possibilities)

Given that there are 35 green,22 white, 30 purple and 14 blue gumballs in the gumball machine.

Therefore, Total gum balls = 35+22+30+14 = 101

The probability of getting a green gumball = no of green gumballs/ total gumballs

Therefore, probability of getting a green gumball = 35/101 = 0.35

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The quarterly payment that the ski resort owner must make in 5 years to have the cost of the ski lift is $277,076.57.

The quarterly payment can be computed by determining the ski lift's total cost (future value).

Dividing the future cost or value by the number of periods (quarters) results in quarterly payments.

N (# of periods) = 20 quarters (5 x 4)

I/Y (Interest per year) = 4%

PV (Present Value) = $5,000,000

FV (Future Value) = $0

Results:

PMT = $277,076.57

Sum of all periodic payments = $5,541,531.49

Total Interest = $541,531.49

Thus, the quarterly payment that the ski resort owner must make in 5 years to have the cost of the ski lift is $277,076.57.

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Answer:

99%

Step-by-step explanation:

When Jose has fewer than 100 baseball cards. If he puts them in piles of 2, 3, 4, 5, or 6 he has one card left over each time, the number of baseball cards that Jose has is 61.

It should be noted that the information is to simply find the numbers. This van only be done through manipulation.

The number is 61. It should be noted that:

61 / 3 = 20 remainder 1

61 / 4 = 15 remainder 1

61 / 5 = 12 remainder 1.

61 / 6 = 20 remainder 1.

Therefore, when Jose has fewer than 100 baseball cards. If he puts them in piles of 2, 3, 4, 5, or 6 he has one card left over each time, the number of baseball cards that Jose has is 61.

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The value of r so that the line passes through (r, 7), (3, 4) and slope of - 3 / 5 is - 2.

The slope of the line is given as m = - 3 / 5.

The pair of point are (r, 7)(3, 4).

Using slope intercept form equation is as follows:

y = mx + b

where

Therefore, using (3, 4) we will find the y-intercept

y = - 3 / 5 x + b

4 = -3  / 5 (3) + b

4 = - 9 / 5 + b

b = 4 + 9 / 5

b = 20 + 9/ 5

b = 29 / 5

Therefore, the equation of the line is as follows;

y = - 3 / 5x + 29 / 5

Hence, let's find r (r, 7)

7 = -3 / 5(r) + 29 / 5

7 - 29 / 5 = -3 / 5 r

35 - 29/ 5 =  -3 / 5 r

6 / 5 = - 3 / 5 r

cross multiply

-15r = 30

divide both sides by -15

r = 30 / -15

r = -2

Therefore, the value of r is -2.

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Answer: Bill weighs 230 pounds and he needs to carry boxes that weigh 75 pounds each. Use the equation 75b+230< =1805 to find the greatest number of boxes Bill can carry in the elevator in one trip.

Step-by-step explanation:

The values of y for all the prime numbers less than 15 are -14, -18, -22,  -30, -28, -54,  -62

Prime numbers are defined as numbers that have only two factors:

From the information given, we need to find the value of x as prime numbers less than 15

The prime numbers that are less than 15 are:

1, 2,  3, 5 , 7, 11, 13

Now, let's substitute each as the value of x as follows

Substitute x as 1

y = - 4(1) - 10

y = -4 - 10 = -14

Substitute x as 2

y = -4(2) -10

y = -8 - 10 = -18

Substitute x as 3

y = -4(3) - 10

y = -12 -1 0 = -22

Substitute x as 5

y = -4(5) - 10

y = -20 - 10 = -30

Substitute x as 7

y=-4(7) -10

y = -28 - 10 = -38

Substitute x as 11

y = -4(11) - 10

y = -44 - 10 = -54

Substitute x as 13

y = -4( 13) - 10

y = -52 - 10 = -62

Thus, the values of y for all the prime numbers less than 15 are -14, -18, -22,  -30, -28, -54,  -62

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According to the solving the percent Larsons pay to the high school district 63.8%.

A % is a relative figure that represents one-tenth of a quantity. One percent (symbolized 1%) is the hundredth part; consequently, 100 percent denotes the complete amount and 200 percent specifies twice the supplied number.

In scientific and engineering writing, use the symbol% to denote percent, except when expressing numerals at the beginning of a phrase. When writing the word, use the form percent as opposed to the archaic version percent. During the test period, just 3% of the systems crashed.

Bill included $401 for local schools

$145 went to the high school district

Amount Remaining = $ 401 - $145

= $ 256

Percent Larson's pay to the high school district is:

256/401

.638 x 100

= 63.8%

According to the solving the Larsons pay to the high school district 63.8%.

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With respect to the linear function, the monthly cost for 68 minutes of calls is $19.28 if 51 minutes and 95 minutes cost $17.24 and $22.52 respectively.

The slope of the cost function which is the same as the variable charge per minute of call is determined by:

(the total costs of the highest activity - the total cost at the lowest activity) /the difference between the number of call minutes slope (cost per minute)

= ($22.52-$17.24)/(95-51)

Slope (cost per minute) =$0.12y

=a+bxy

=total cost

=$22.52

Note that:

a = fixed charge = unknown

b = slope = $0.12x = number of minutes = 9522.52

= a+(0.12*95)22.52

= a+11.40a =22.52-11.40a

=11.12y

= 11.12+0.12x

when x = 68y

= 11.12+(0.12*68)y

= total cost for 68n minutes

=$19.28

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The monthly cost for 68 minutes of calls is $19.28

What is the equation of straight-line?

The equation of straight-line considers the fixed charge of using phone plan per month plus the total variable cost of minutes of call, I mean the cost per minute of the plan can be determined by computing the slope of the straight-line equation

slope=(total cost for 95 minutes-total cost of 51 minutes)/(95-51)

total cost for 95 minutes=$22.52

total cost of 51 minutes=$17.24

slope=($22.52-$17.24)/(95-51)

slope= variable cost per minute=$0.12

We can determine the fixed charge per month using the straight-line equation and cost for 95 minutes

y=a+bx

y=total cost=$22.52

a=fixed charge per month=unknown

b=cost per minute=$0.12

x=number of minutes=95

$22.52=a+($0,12*95)

$22.52=a+$11.40

a=$22.52-$11.40

a=$11.12

total cost(68 minutes)=a+bx

a=$11.12

b=$0.12

x=68

total cost=$11.12+($0.12*68)

total cost=$19.28

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Answer:

y=35, z=111

Step-by-step explanation:

By the same-side interior angles theorem, z=111.

By the alternate interior angles theorem,

[tex]111=4y-29 \\ \\ 140=4y \\ \\ y=35[/tex]

Answer:

32°

Step-by-step explanation:

Angles 2 and 4 are vertical angles, so they are congruent. That means that their measures are equal.

First, we set their measures equal to each other.

Then we solve the equation for x.

Then, we use the value of x to find the angle measure.

m<2 = 6x + 5

m<4 = 4x + 14

Set the measures equal.

6x + 5 = 4x + 14

Subtract 4x from both sides.

2x + 5 = 14

Subtract 5 from both sides.

2x = 9

Divide both sides by 2.

x = 4.5

m<2 = 6x + 5

m<2 = 6 × 4.5 + 5

m<2 = 27 + 5

m<2 = 32

Answer: 32°

The estimated area of the circular watch face is: 8 cm².

The formula to use in determining or estimating the area of any shape that is circular is expressed as:

Area = πr², where the radius of the circular shape is represented as r.

Given the following:

Diameter of the circular watch face = 3.2 centimeters

The radius = 1/2(diameter) = 1/2(3.2)

Radius (r) = 1.6 centimeters

Plug in the value into πr² to find the estimated area of the watch face:

Area of the watch face = π(1.6²)

Area of the watch face ≈ 8 cm²

Therefore, the estimated area of the circular watch face is: 8 cm².

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Answer: D

Step-by-step explanation:

The depreciation for the first year of the truck's useful life is $32,000.

The cost of the truck is $40000.

The useful time is 5 years.

The residual value is $5000.

Now, the depreciation is given as:

SLM depreciation = (Cost - Residual Value) / 5 years

Depreciation expense per year = ($40,000 - $5,000) / 5

Depreciation expense for the first year = $7,000

Now,

The depreciation expense per mile is the difference between cost and residual value divided by expected miles over the truck's life.

Depreciation expense per mile = (Cost - Residual Value) / Expected miles over truck's life.

Depreciation expense = Depreciation expense per mile × Miles driven

Therefore,

Depreciation expense per mile will be:

= ($40,000 - $5,000) / 15,000 miles = $2.33 or $2

The first year depreciation will be:

= 16,000 miles × $2 per mile = $32,000

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